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Analysis - Literature and Literacy - diagram 1https://www.getlykke.com/explore/public/literature-and-literacy-a0828b3b-a6ea-4412-ba89-06697f45047c/media/writing-and-critical-analysis/svg/2Writing and Critical Analysis diagram 2Writing and Critical Analysis - Literature and Literacy - diagram 2https://www.getlykke.com/explore/public/introduction-to-literature-dddd0559-b847-41c2-80b1-3d80bca4bb2b2026-04-20T05:11:21.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Header Section --> <text x="450" y="50" text-anchor="middle" font-family="system-ui, sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1px">THE OER ECOSYSTEM</text> <text x="450" y="78" text-anchor="middle" font-family="system-ui, sans-serif" font-size="15" fill="#94a3b8" font-weight="400">Transforming Static Content into Dynamic Learning Architecture</text> <line x1="350" y1="95" x2="550" y2="95" stroke="#38bdf8" stroke-width="2" stroke-linecap="round"/> <!-- Left Panel: The 5 Rs Framework --> <rect x="40" y="120" width="400" height="400" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="150" font-family="system-ui, sans-serif" font-weight="700" font-size="18" fill="#f59e0b">THE 5 Rs FRAMEWORK</text> <text x="60" y="170" font-family="system-ui, sans-serif" font-size="12" fill="#94a3b8">The legal pillars of Open Educational Resources</text> <!-- R1: Retain --> <g transform="translate(60, 195)"> <circle r="15" cx="15" cy="15" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1.5"/> <path d="M10 15h10M15 10v10" stroke="#f59e0b" stroke-width="2" stroke-linecap="round" transform="rotate(45 15 15)"/> <text x="45" y="14" font-family="system-ui, sans-serif" font-weight="700" font-size="14" fill="#f8fafc">RETAIN</text> <text x="45" y="28" font-family="system-ui, sans-serif" font-size="11" fill="#94a3b8">The right to make, own, and control copies.</text> </g> <!-- R2: Reuse --> <g transform="translate(60, 250)"> <circle r="15" cx="15" cy="15" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1.5"/> <path d="M10 15a5 5 0 1 1 5 5m0-10l3 3-3 3" fill="none" stroke="#f59e0b" stroke-width="2" stroke-linecap="round"/> <text x="45" y="14" font-family="system-ui, sans-serif" font-weight="700" font-size="14" fill="#f8fafc">REUSE</text> <text x="45" y="28" font-family="system-ui, sans-serif" font-size="11" fill="#94a3b8">The right to use content in diverse ways.</text> </g> <!-- R3: Revise --> <g transform="translate(60, 305)"> <circle r="15" cx="15" cy="15" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1.5"/> <path d="M10 20l10-10 2 2-10 10-2-2z" fill="none" stroke="#f59e0b" stroke-width="1.5"/> <text x="45" y="14" font-family="system-ui, sans-serif" font-weight="700" font-size="14" fill="#f8fafc">REVISE</text> <text x="45" y="28" font-family="system-ui, sans-serif" font-size="11" fill="#94a3b8">The right to adapt, adjust, or modify.</text> </g> <!-- R4: Remix --> <g transform="translate(60, 360)"> <circle r="15" cx="15" cy="15" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1.5"/> <circle cx="12" cy="15" r="5" fill="none" stroke="#f59e0b" stroke-width="1.5"/> <circle cx="18" cy="15" r="5" fill="none" stroke="#f59e0b" stroke-width="1.5"/> <text x="45" y="14" font-family="system-ui, sans-serif" font-weight="700" font-size="14" fill="#f8fafc">REMIX</text> <text x="45" y="28" font-family="system-ui, sans-serif" font-size="11" fill="#94a3b8">The right to combine with other materials.</text> </g> <!-- R5: Redistribute --> <g transform="translate(60, 415)"> <circle r="15" cx="15" cy="15" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1.5"/> <circle cx="15" cy="12" r="2" fill="#f59e0b"/> <circle cx="11" cy="18" r="2" fill="#f59e0b"/> <circle cx="19" cy="18" r="2" fill="#f59e0b"/> <path d="M15 12l-4 6M15 12l4 6" stroke="#f59e0b" stroke-width="1.5"/> <text x="45" y="14" font-family="system-ui, sans-serif" font-weight="700" font-size="14" fill="#f8fafc">REDISTRIBUTE</text> <text x="45" y="28" font-family="system-ui, sans-serif" font-size="11" fill="#94a3b8">The right to share copies with others.</text> </g> <!-- Right Top Panel: Digital Courseware Stack --> <rect x="460" y="120" width="400" height="210" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="480" y="150" font-family="system-ui, sans-serif" font-weight="700" font-size="18" fill="#38bdf8">MODERN TECH STACK</text> <!-- Stack Layers --> <g 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font-style="italic">Continuous Improvement Loop</text> </g> <!-- Right Bottom Panel: Creative Commons --> <rect x="460" y="345" width="400" height="175" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="480" y="375" font-family="system-ui, sans-serif" font-weight="700" font-size="18" fill="#e879f9">LICENSING (CC)</text> <g transform="translate(480, 395)"> <!-- BY --> <circle cx="30" cy="30" r="25" fill="#e879f915" stroke="#e879f9" stroke-width="1.5"/> <text x="30" y="36" text-anchor="middle" font-family="system-ui, sans-serif" font-weight="bold" font-size="16" fill="#e879f9">BY</text> <text x="30" y="70" text-anchor="middle" font-family="system-ui, sans-serif" font-size="10" fill="#94a3b8">Attribution</text> <!-- SA --> <circle cx="110" cy="30" r="25" fill="#e879f915" stroke="#e879f9" stroke-width="1.5"/> <text x="110" y="36" text-anchor="middle" font-family="system-ui, sans-serif" font-weight="bold" font-size="16" fill="#e879f9">SA</text> <text x="110" y="70" text-anchor="middle" font-family="system-ui, sans-serif" font-size="10" fill="#94a3b8">ShareAlike</text> <!-- NC --> <circle cx="190" cy="30" r="25" fill="#e879f915" stroke="#e879f9" stroke-width="1.5"/> <text x="190" y="36" text-anchor="middle" font-family="system-ui, sans-serif" font-weight="bold" font-size="16" fill="#e879f9">NC</text> <text x="190" y="70" text-anchor="middle" font-family="system-ui, sans-serif" font-size="10" fill="#94a3b8">Non-Comm.</text> <!-- ND --> <circle cx="270" cy="30" r="25" fill="#ffffff10" stroke="#94a3b8" stroke-width="1.5" stroke-dasharray="3 2"/> <text x="270" y="36" text-anchor="middle" font-family="system-ui, sans-serif" font-weight="bold" font-size="16" fill="#94a3b8">ND</text> <text x="270" y="70" text-anchor="middle" font-family="system-ui, sans-serif" font-size="10" fill="#94a3b8">Non-Deriv.</text> <text x="0" y="100" font-family="system-ui, sans-serif" font-size="11" fill="#94a3b8" font-style="italic">Note: ND (No Derivatives) is not considered true OER.</text> </g> <!-- Footer --> <text x="860" y="540" text-anchor="end" font-family="system-ui, sans-serif" font-size="10" fill="#ffffff30">LUMEN LEARNING // COURSE INTRODUCTION</text> </svg>Course Introduction and Open Educational Resources image 1Course Introduction and Open Educational Resources - Introduction to Literature - image 1https://www.getlykke.com/explore/public/introduction-to-literature-dddd0559-b847-41c2-80b1-3d80bca4bb2b/media/course-introduction-oer/svg/1Course Introduction and Open Educational Resources diagram 1Course Introduction and Open Educational Resources - Introduction to Literature - diagram 1https://www.getlykke.com/explore/public/introduction-to-literature-dddd0559-b847-41c2-80b1-3d80bca4bb2b/media/course-introduction-oer/svg/2Course Introduction and Open Educational Resources diagram 2Course Introduction and Open Educational Resources - Introduction to Literature - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <!-- Background and Textures --> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dots" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10"/> </pattern> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> </defs> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Header Section --> <text x="450" y="55" text-anchor="middle" font-family="Arial, sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">DEFINING LITERATURE &amp; ACADEMIC STANDARDS</text> <rect x="350" y="70" width="200" height="4" fill="url(#accentGrad)" rx="2"/> <text x="450" y="95" text-anchor="middle" font-family="Arial, sans-serif" font-size="14" fill="#94a3b8" font-style="italic">From "Great Books" to Dynamic Systems of Human Expression</text> <!-- Left Column: The Evolution Timeline --> <rect x="30" y="130" width="260" height="390" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="50" y="160" font-family="Arial, sans-serif" font-weight="bold" font-size="18" fill="#38bdf8">I. EVOLUTION OF SCOPE</text> <!-- Timeline Path --> <path d="M 60 190 L 60 480" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 4" opacity="0.4"/> <!-- Era 1 --> <circle cx="60" cy="200" r="6" fill="#38bdf8"/> <text x="75" y="200" font-family="Arial, sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">CLASSICAL / MEDIEVAL</text> <text x="75" y="218" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Litteratura: General learning &amp; grammar.</text> <!-- Era 2 --> <circle cx="60" cy="270" r="6" fill="#38bdf8"/> <text x="75" y="270" font-family="Arial, sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">RENAISSANCE</text> <text x="75" y="288" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Belles-lettres: Rhetoric and style.</text> <!-- Era 3 --> <circle cx="60" cy="340" r="6" fill="#38bdf8"/> <text x="75" y="340" font-family="Arial, sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">ROMANTIC / VICTORIAN</text> <text x="75" y="358" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Imaginative Art: The "Genius" author.</text> <!-- Era 4 --> <circle cx="60" cy="410" r="6" fill="#38bdf8"/> <text x="75" y="410" font-family="Arial, sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">POST-MODERN</text> <text x="75" y="428" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Textuality: Inclusive of all cultural artifacts.</text> <!-- Center Column: The Mechanics of Merit --> <rect x="310" y="130" width="280" height="220" rx="16" fill="#ffffff12" stroke="#f59e0b" stroke-width="1" stroke-opacity="0.3"/> <text x="330" y="160" font-family="Arial, sans-serif" font-weight="bold" font-size="18" fill="#f59e0b">II. THE CANON FORMULA</text> <!-- Formula Box --> <rect x="330" y="180" width="240" height="60" rx="8" fill="#00000044"/> <text x="450" y="218" text-anchor="middle" font-family="Georgia, serif" font-size="22" fill="#f8fafc">C(t) = ∫ (A·S + I·R) dt</text> <!-- Variables --> <g font-family="Arial, sans-serif" font-size="11" fill="#94a3b8"> <text x="335" y="265"><tspan fill="#f59e0b" font-weight="bold">A</tspan> Aesthetic Innovation</text> <text x="335" y="285"><tspan fill="#f59e0b" font-weight="bold">S</tspan> Semantic Density</text> <text x="465" y="265"><tspan fill="#f59e0b" font-weight="bold">I</tspan> Intertextual Influence</text> <text x="465" y="285"><tspan fill="#f59e0b" font-weight="bold">R</tspan> Cultural Resonance</text> </g> <text x="330" y="320" font-family="Arial, sans-serif" font-size="12" fill="#f8fafc" font-style="italic" opacity="0.8">"Canonicity is a function of formal uniqueness</text> <text x="330" y="335" font-family="Arial, sans-serif" font-size="12" fill="#f8fafc" font-style="italic" opacity="0.8">multiplied by its impact over time."</text> <!-- Bottom Center: Oral Tradition --> <rect x="310" y="370" width="280" height="150" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="330" y="400" font-family="Arial, sans-serif" font-weight="bold" font-size="18" fill="#38bdf8">III. 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fill="#ffffff12" stroke="#ffffff25" stroke-width="1"/> <circle cx="500" cy="180" r="20" fill="#f59e0b20"/> <rect x="492" y="172" width="16" height="16" stroke="#f59e0b" stroke-width="2" fill="none"/> <text x="530" y="185" font-family="sans-serif" font-size="18" font-weight="700" fill="#f59e0b">The Architect</text> <text x="490" y="230" font-family="sans-serif" font-size="13" font-weight="600" fill="#f8fafc">GOAL: Technique Identification</text> <text x="490" y="250" font-family="sans-serif" font-size="12" fill="#94a3b8">Focuses on syntax, diction, and structural choices.</text> <text x="490" y="290" font-family="sans-serif" font-size="13" font-weight="600" fill="#f8fafc">TEMPORAL VIEW: Recursive</text> <text x="490" y="310" font-family="sans-serif" font-size="12" fill="#94a3b8">Back-and-forth analysis of linguistic patterns.</text> <path d="M490 350 L790 350" stroke="#ffffff20" stroke-width="1" stroke-dasharray="4 4"/> <text x="490" y="380" font-family="sans-serif" font-size="13" font-style="italic" fill="#f8fafc">"Why did the author use this specific metaphor?"</text> <!-- Bottom Section: Toolkits --> <rect x="40" y="440" width="820" height="90" rx="16" fill="#ffffff05" stroke="#ffffff10" stroke-width="1"/> <!-- Tool 1: Computational --> <rect x="65" y="465" width="40" height="40" rx="8" fill="#e879f920"/> <text x="75" y="492" font-family="monospace" font-size="18" font-weight="bold" fill="#e879f9">{ }</text> <text x="115" y="478" font-family="sans-serif" font-size="14" font-weight="700" fill="#f8fafc">Stylistic Decomposition</text> <text x="115" y="495" font-family="sans-serif" font-size="11" fill="#94a3b8">Python/spaCy for POS density</text> <text x="115" y="508" font-family="sans-serif" font-size="11" fill="#94a3b8">and syntactic mapping.</text> <!-- Divider --> <line x1="330" y1="460" x2="330" y2="510" stroke="#ffffff10" stroke-width="1"/> <!-- Tool 2: Scansion --> <rect x="355" y="465" width="40" height="40" rx="8" fill="#38bdf820"/> <path d="M365 490 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force."</text> <text x="450" y="520" font-family="sans-serif" font-weight="700" font-size="11" fill="#38bdf8" text-anchor="middle" letter-spacing="2">— THE LAW OF NARRATIVE INERTIA</text> <!-- Arrowhead definition --> <defs> <marker id="arrowhead" markerWidth="10" markerHeight="7" refX="0" refY="3.5" orient="auto"> <polygon points="0 0, 10 3.5, 0 7" fill="#f8fafc" /> </marker> </defs> </svg>Narrative Elements: Conflict and Plot image 1Narrative Elements: Conflict and Plot - Introduction to Literature - image 1https://www.getlykke.com/explore/public/introduction-to-literature-dddd0559-b847-41c2-80b1-3d80bca4bb2b/media/narrative-elements-conflict-and-plot/svg/1Narrative Elements: Conflict and Plot diagram 1Narrative Elements: Conflict and Plot - Introduction to Literature - diagram 1https://www.getlykke.com/explore/public/introduction-to-literature-dddd0559-b847-41c2-80b1-3d80bca4bb2b/media/narrative-elements-conflict-and-plot/svg/2Narrative Elements: Conflict and Plot diagram 2Narrative Elements: Conflict and Plot - Introduction to Literature - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="blur"/> <feComposite in="SourceGraphic" in2="blur" operator="over"/> </filter> </defs> <!-- Background Layer --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">LITERARY ELEMENTS: THE SEMANTIC LAYER</text> <path d="M 300 65 L 600 65" stroke="url(#accentGrad)" stroke-width="3" stroke-linecap="round"/> <text x="450" y="85" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" letter-spacing="2">THE ARCHITECTURE OF THEME &amp; SYMBOLISM</text> <!-- Left Column: THEME --> <rect x="40" y="110" width="400" height="410" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <circle cx="80" cy="145" r="18" fill="#f59e0b22" stroke="#f59e0b" stroke-width="2"/> <path d="M 74 145 L 86 145 M 80 139 L 80 151" stroke="#f59e0b" stroke-width="2"/> <text x="110" y="152" font-family="sans-serif" font-weight="700" font-size="22" fill="#f59e0b">THEME</text> <text x="110" y="170" font-family="sans-serif" font-size="12" fill="#94a3b8">The "Objective Function" of Narrative</text> <!-- Theme Content: Concept vs Statement --> <rect x="60" y="195" width="360" height="85" rx="8" fill="#00000033"/> <text x="75" 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stroke-dasharray="2,2"/> <rect x="100" width="80" height="40" rx="4" fill="#ffffff11"/> <text x="140" y="25" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#f8fafc">Conflict Res.</text> <path d="M 180 20 L 200 20" stroke="#94a3b8" stroke-dasharray="2,2"/> <rect x="200" width="100" height="40" rx="4" fill="#f59e0b33" stroke="#f59e0b55"/> <text x="250" y="25" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="11" fill="#f59e0b">UNIVERSAL TRUTH</text> </g> <text x="75" y="405" font-family="sans-serif" font-size="12" fill="#94a3b8" width="330"> <tspan x="75" dy="0">Theme acts as the high-level algorithm. It ensures</tspan> <tspan x="75" dy="18">every plot module serves a unified purpose.</tspan> </text> <!-- Right Column: SYMBOLISM --> <rect x="460" y="110" width="400" height="410" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <circle cx="500" cy="145" r="18" fill="#38bdf822" stroke="#38bdf8" stroke-width="2"/> <path d="M 495 150 L 505 140 M 505 140 L 500 140 M 505 140 L 505 145" stroke="#38bdf8" stroke-width="2" fill="none"/> <text x="530" y="152" font-family="sans-serif" font-weight="700" font-size="22" fill="#38bdf8">SYMBOLISM</text> <text x="530" y="170" font-family="sans-serif" font-size="12" fill="#94a3b8">The Pointer System of Literature</text> <!-- Symbolism Mapping Function --> <rect x="480" y="195" width="360" height="85" rx="8" fill="#00000033"/> <text x="495" y="215" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Mapping Function: f: L → A</text> <circle cx="530" cy="245" r="15" fill="#38bdf844" stroke="#38bdf8"/> <text x="530" y="249" text-anchor="middle" font-family="serif" font-size="12" fill="#f8fafc">L</text> <text x="530" y="272" text-anchor="middle" font-family="sans-serif" font-size="9" fill="#94a3b8">LITERAL</text> <path d="M 555 245 L 615 245" stroke="#f8fafc" stroke-width="2" marker-end="url(#arrowhead)"/> <text x="585" y="235" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#e879f9">POINTER</text> <rect x="625" y="230" width="30" height="30" fill="#e879f944" stroke="#e879f9" transform="rotate(45, 640, 245)"/> <text x="640" y="249" text-anchor="middle" font-family="serif" font-size="12" fill="#f8fafc">A</text> <text x="640" y="272" text-anchor="middle" font-family="sans-serif" font-size="9" fill="#94a3b8">ABSTRACT</text> <!-- Symbol Categories --> <g transform="translate(480, 300)"> <text x="15" y="15" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Symbol Categories</text> <rect y="30" width="170" height="60" rx="8" fill="#ffffff08"/> <text x="10" y="50" font-family="sans-serif" font-weight="600" font-size="12" fill="#38bdf8">Conventional</text> <text x="10" y="70" font-family="sans-serif" font-size="10" fill="#94a3b8">Universal recognition</text> <text x="10" y="82" font-family="sans-serif" font-size="10" fill="#94a3b8">Ex: Skull = Death</text> <rect x="180" y="30" width="170" height="60" rx="8" fill="#ffffff08"/> <text x="190" y="50" font-family="sans-serif" font-weight="600" font-size="12" fill="#e879f9">Contextual</text> <text x="190" y="70" font-family="sans-serif" font-size="10" fill="#94a3b8">Internal "runtime" only</text> <text x="190" y="82" font-family="sans-serif" font-size="10" fill="#94a3b8">Ex: Gatsby's Green Light</text> </g> <text x="495" y="425" font-family="sans-serif" font-size="12" fill="#94a3b8"> <tspan x="495" dy="0">Symbols are variables that reference memory</tspan> <tspan x="495" dy="18">addresses within the collective human condition.</tspan> </text> <!-- Central Connection --> <path d="M 440 315 L 460 315" stroke="url(#accentGrad)" stroke-width="2" stroke-dasharray="4,2"/> <circle cx="450" cy="315" r="4" fill="#f8fafc"/> <!-- Footer --> <rect x="40" y="530" width="820" height="1" fill="#ffffff22"/> <text x="40" y="550" font-family="sans-serif" font-size="10" fill="#64748b">WIKI SECTION: LITERARY ANALYSIS 101</text> <text x="860" y="550" text-anchor="end" font-family="sans-serif" font-size="10" fill="#64748b">FORMALISM &amp; SEMANTICS</text> <!-- Arrowhead marker --> <defs> <marker id="arrowhead" markerWidth="10" markerHeight="7" refX="0" refY="3.5" orient="auto"> <polygon points="0 0, 10 3.5, 0 7" fill="#f8fafc" /> </marker> </defs> </svg>Literary Elements: Theme and Symbolism image 1Literary Elements: Theme and Symbolism - Introduction to Literature - image 1https://www.getlykke.com/explore/public/introduction-to-literature-dddd0559-b847-41c2-80b1-3d80bca4bb2b/media/literary-elements-theme-and-symbolism/svg/1Literary Elements: Theme and Symbolism diagram 1Literary Elements: Theme and 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stroke-width="1"/> <circle cx="140" cy="300" r="6" fill="#f59e0b" filter="url(#glow)"/> <text x="65" y="155" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f59e0b">RENAISSANCE</text> <text x="65" y="175" font-family="sans-serif" font-size="11" fill="#f8fafc" font-weight="bold">14th – 17th Century</text> <text x="65" y="195" font-family="sans-serif" font-size="12" fill="#94a3b8">Style: Eloquentia</text> <text x="65" y="210" font-family="sans-serif" font-size="11" fill="#cbd5e1">• Ciceronian Periods</text> <text x="65" y="225" font-family="sans-serif" font-size="11" fill="#cbd5e1">• Classical Rhetoric</text> <text x="65" y="240" font-family="sans-serif" font-size="11" fill="#cbd5e1">• Ornate &amp; Balanced</text> <!-- Era 2: Enlightenment --> <rect x="250" y="320" width="180" height="130" rx="12" fill="#ffffff10" stroke="#e879f9" stroke-width="1"/> <circle cx="340" cy="265" r="6" fill="#e879f9" filter="url(#glow)"/> <text x="265" y="345" font-family="sans-serif" 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font-weight="bold">1790 – 1850</text> <text x="465" y="195" font-family="sans-serif" font-size="12" fill="#94a3b8">Style: Subjectivity</text> <text x="465" y="210" font-family="sans-serif" font-size="11" fill="#cbd5e1">• The Sublime</text> <text x="465" y="225" font-family="sans-serif" font-size="11" fill="#cbd5e1">• Emotional Fluidity</text> <text x="465" y="240" font-family="sans-serif" font-size="11" fill="#cbd5e1">• Individual "I"</text> <!-- Era 4: Modernism --> <rect x="650" y="320" width="180" height="130" rx="12" fill="#ffffff10" stroke="#fb7185" stroke-width="1"/> <circle cx="740" cy="285" r="6" fill="#fb7185" filter="url(#glow)"/> <text x="665" y="345" font-family="sans-serif" font-weight="bold" font-size="14" fill="#fb7185">MODERNISM</text> <text x="665" y="365" font-family="sans-serif" font-size="11" fill="#f8fafc" font-weight="bold">1900 – 1950</text> <text x="665" y="385" font-family="sans-serif" font-size="12" fill="#94a3b8">Style: Fragmentation</text> <text x="665" y="400" font-family="sans-serif" font-size="11" fill="#cbd5e1">• Iceberg Theory</text> <text x="665" y="415" font-family="sans-serif" font-size="11" fill="#cbd5e1">• Stream of Consciousness</text> <text x="665" y="430" font-family="sans-serif" font-size="11" fill="#cbd5e1">• Minimalist Syntax</text> <!-- Mechanics of Style Panel --> <rect x="40" y="475" width="820" height="65" rx="8" fill="#00000040" stroke="#ffffff15"/> <text x="60" y="495" font-family="sans-serif" font-weight="bold" font-size="12" fill="#38bdf8" text-transform="uppercase">The Mechanics of Style</text> <text x="60" y="518" font-family="sans-serif" font-size="11" fill="#94a3b8">DICTION:</text> <text x="120" y="518" font-family="sans-serif" font-size="11" fill="#f8fafc">Latinate/Polysyllabic vs. Germanic/Monosyllabic</text> <text x="420" y="518" font-family="sans-serif" font-size="11" fill="#94a3b8">SYNTAX:</text> <text x="480" y="518" font-family="sans-serif" font-size="11" fill="#f8fafc">Hypotactic (Complex) vs. Paratactic (Simple)</text> <text x="60" y="533" font-family="sans-serif" font-size="11" fill="#94a3b8">STRUCTURE:</text> <text x="135" y="533" font-family="sans-serif" font-size="11" fill="#f8fafc">Periodic (End-weighted) vs. Loose (Cumulative)</text> <!-- Decorative Icons --> <!-- Quill --> <path d="M 210 145 L 220 155 M 215 150 Q 225 140 230 145" stroke="#f59e0b" stroke-width="1.5" fill="none" opacity="0.6"/> <!-- Scale --> <path d="M 400 335 L 420 335 M 410 335 L 410 350" stroke="#e879f9" stroke-width="1.5" fill="none" opacity="0.6"/> <!-- Mountain --> <path d="M 600 145 L 610 135 L 620 145" stroke="#38bdf8" stroke-width="1.5" fill="none" opacity="0.6"/> <!-- Iceberg --> <path d="M 800 350 L 810 335 L 820 350 Z" fill="#fb7185" opacity="0.3"/> <line x1="795" y1="345" x2="825" y2="345" stroke="#f8fafc" stroke-width="1" opacity="0.5"/> </svg>Literary Style and Historical Context image 1Literary Style and Historical Context - Introduction to Literature - image 1https://www.getlykke.com/explore/public/introduction-to-literature-dddd0559-b847-41c2-80b1-3d80bca4bb2b/media/literary-style-and-historical-context/svg/1Literary Style and Historical Context diagram 1Literary Style and Historical Context - Introduction to Literature - diagram 1https://www.getlykke.com/explore/public/introduction-to-literature-dddd0559-b847-41c2-80b1-3d80bca4bb2b/media/literary-style-and-historical-context/svg/2Literary Style and Historical Context diagram 2Literary Style and Historical Context - Introduction to Literature - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg-grad" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg-grad)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">THE ARCHITECTURE OF NARRATIVE</text> <text x="450" y="75" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" font-weight="400" letter-spacing="4">COMPREHENSIVE LITERARY TERMINOLOGY</text> <line x1="350" y1="90" x2="550" y2="90" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 4"/> <!-- Card 1: Allegory --> <rect x="40" y="120" width="260" height="340" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <circle cx="170" cy="160" r="25" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <path d="M 160 155 L 180 155 M 160 165 L 180 165" stroke="#38bdf8" 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fill="#f8fafc" opacity="0.8"> <tspan x="170" dy="0">Extended metaphor where</tspan> <tspan x="170" dy="16">characters represent abstract</tspan> <tspan x="170" dy="16">moral or political ideas.</tspan> </text> <!-- Card 2: Foreshadowing --> <rect x="320" y="120" width="260" height="340" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <circle cx="450" cy="160" r="25" fill="#f59e0b20" stroke="#f59e0b" stroke-width="2"/> <path d="M 440 160 Q 450 140 460 160 T 450 180" fill="none" stroke="#f59e0b" stroke-width="2"/> <text x="450" y="210" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="18" fill="#f8fafc">FORESHADOWING</text> <text x="450" y="230" text-anchor="middle" font-family="sans-serif" font-size="12" fill="#94a3b8">Narrative Causality</text> <!-- Foreshadowing Visual --> <line x1="360" y1="300" x2="540" y2="300" stroke="#94a3b8" stroke-width="1"/> <circle cx="380" cy="300" r="6" fill="#f59e0b"/> <text x="380" y="325" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#f59e0b" font-weight="bold">THE SEED</text> <path d="M 520 300 L 535 285 M 520 300 L 535 315" stroke="#f59e0b" stroke-width="3"/> <text x="520" y="325" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#f59e0b" font-weight="bold">THE PAYOFF</text> <text x="450" y="360" text-anchor="middle" font-family="sans-serif" font-size="12" fill="#f8fafc" opacity="0.8"> <tspan x="450" dy="0">"Chekhov's Gun" logic:</tspan> <tspan x="450" dy="16">Indicative fragments that</tspan> <tspan x="450" dy="16">ensure narrative inevitability.</tspan> </text> <rect x="360" y="400" width="180" height="30" rx="8" fill="#f59e0b10" stroke="#f59e0b30"/> <text x="450" y="420" text-anchor="middle" font-family="sans-serif" font-size="10" font-style="italic" fill="#f59e0b">Temporal Logic &amp; Omens</text> <!-- Card 3: Irony --> <rect x="600" y="120" width="260" height="340" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <circle cx="730" cy="160" r="25" 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Authorial Contract and the Mechanics of the Truth Claim</text> <!-- Fiction Panel --> <rect x="40" y="110" width="390" height="300" rx="16" fill="url(#fictionGrad)" stroke="#e879f9" stroke-opacity="0.3" stroke-width="1"/> <circle cx="80" cy="150" r="20" fill="#e879f9" fill-opacity="0.2"/> <path d="M72 150 L88 150 M80 142 L80 158" stroke="#e879f9" stroke-width="2" transform="rotate(45 80 150)"/> <text x="110" y="155" font-family="sans-serif" font-weight="700" font-size="22" fill="#f8fafc">FICTION</text> <text x="65" y="195" font-family="sans-serif" font-weight="600" font-size="14" fill="#e879f9">The Fictional Pact</text> <text x="65" y="215" font-family="sans-serif" font-size="12" fill="#cbd5e1" width="340"> <tspan x="65" dy="0">Implicitly "untrue" or "imagined." The reader engages</tspan> <tspan x="65" dy="18">in the </tspan> <tspan fill="#f59e0b" font-weight="bold">Willing Suspension of Disbelief</tspan> <tspan>.</tspan> </text> <rect x="65" y="255" width="340" height="1" fill="#ffffff15"/> <text x="65" y="285" font-family="sans-serif" font-size="12" fill="#94a3b8" font-weight="bold">SOURCE MATERIAL</text> <text x="65" y="302" font-family="sans-serif" font-size="13" fill="#f8fafc">Imagination, Archetypes, Synthesis</text> <text x="65" y="340" font-family="sans-serif" font-size="12" fill="#94a3b8" font-weight="bold">ETHICAL CONSTRAINT</text> <text x="65" y="357" font-family="sans-serif" font-size="13" fill="#f8fafc">Internal Consistency &amp; Aesthetic Unity</text> <!-- CNF Panel --> <rect x="470" y="110" width="390" height="300" rx="16" fill="url(#cnfGrad)" stroke="#38bdf8" stroke-opacity="0.3" stroke-width="1"/> <circle cx="510" cy="150" r="20" fill="#38bdf8" fill-opacity="0.2"/> <circle cx="510" cy="150" r="8" stroke="#38bdf8" stroke-width="2" fill="none"/> <line x1="516" y1="156" x2="522" y2="162" stroke="#38bdf8" stroke-width="2"/> <text x="540" y="155" font-family="sans-serif" font-weight="700" font-size="22" fill="#f8fafc">CREATIVE NONFICTION</text> <text x="495" y="195" font-family="sans-serif" font-weight="600" font-size="14" fill="#38bdf8">The Referential Pact</text> <text x="495" y="215" font-family="sans-serif" font-size="12" fill="#cbd5e1"> <tspan x="495" dy="0">Explicitly "factually grounded." The reader grants</tspan> <tspan x="495" dy="18">the author </tspan> <tspan fill="#f59e0b" font-weight="bold">Epistemic Trust</tspan> <tspan> in shared reality.</tspan> </text> <rect x="495" y="255" width="340" height="1" fill="#ffffff15"/> <text x="495" y="285" font-family="sans-serif" font-size="12" fill="#94a3b8" font-weight="bold">SOURCE MATERIAL</text> <text x="495" y="302" font-family="sans-serif" font-size="13" fill="#f8fafc">Memory, Research, Records, Interviews</text> <text x="495" y="340" font-family="sans-serif" font-size="12" fill="#94a3b8" font-weight="bold">ETHICAL CONSTRAINT</text> <text x="495" y="357" font-family="sans-serif" font-size="13" fill="#f8fafc">Obligation to represent "What Happened"</text> <!-- Shared Toolkit Bridge --> <rect x="250" y="425" width="400" height="45" rx="22.5" fill="#ffffff10" stroke="#f59e0b" stroke-opacity="0.4"/> <text x="450" y="442" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#f59e0b" font-weight="bold" letter-spacing="2">THE SHARED NARRATIVE TOOLKIT</text> <text x="450" y="460" text-anchor="middle" font-family="sans-serif" font-size="12" fill="#f8fafc">Plot &amp; Arc • Characterization • Point of View • Setting • Imagery</text> <!-- Bottom Section: Formula --> <rect x="40" y="485" width="820" height="60" rx="12" fill="#00000030"/> <text x="65" y="520" font-family="serif" font-size="20" fill="#f8fafc" font-style="italic">R(T) = Σ V(eᵢ) / n</text> <text x="210" y="512" font-family="sans-serif" font-size="11" fill="#94a3b8">REFERENTIALITY INDEX:</text> <text x="210" y="528" font-family="sans-serif" font-size="12" fill="#cbd5e1">The verifiability of narrative events (e) against external records.</text> <path d="M700 510 L730 510" stroke="#e879f9" stroke-width="3" stroke-linecap="round"/> <text x="740" y="515" font-family="sans-serif" font-size="11" fill="#cbd5e1">Fiction: Claim R ≈ 0</text> <path d="M700 530 L730 530" stroke="#38bdf8" stroke-width="3" stroke-linecap="round"/> <text x="740" y="535" font-family="sans-serif" font-size="11" fill="#cbd5e1">CNF: Claim R → 1</text> <!-- Decorative Connectors --> <path d="M430 260 Q450 260 470 260" stroke="#f59e0b" stroke-width="1" stroke-dasharray="4 4" fill="none" opacity="0.5"/> <circle cx="450" cy="260" r="3" fill="#f59e0b"/> </svg>Genres: Fiction and Creative Nonfiction image 1Genres: Fiction and Creative Nonfiction - Introduction to Literature - image 1https://www.getlykke.com/explore/public/introduction-to-literature-dddd0559-b847-41c2-80b1-3d80bca4bb2b/media/fiction-and-creative-nonfiction/svg/1Genres: Fiction and Creative Nonfiction diagram 1Genres: Fiction and Creative Nonfiction - Introduction to Literature - diagram 1https://www.getlykke.com/explore/public/introduction-to-literature-dddd0559-b847-41c2-80b1-3d80bca4bb2b/media/fiction-and-creative-nonfiction/svg/2Genres: Fiction and Creative Nonfiction diagram 2Genres: Fiction and Creative Nonfiction - Introduction to Literature - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#f59e0b"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10" /> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Decorative Header Elements --> <path d="M50 60 L850 60" stroke="#ffffff20" stroke-width="1"/> <circle cx="50" cy="60" r="4" fill="#38bdf8"/> <circle cx="850" cy="60" r="4" fill="#e879f9"/> <!-- Title Section --> <text x="450" y="45" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" text-anchor="middle" letter-spacing="1">POETRY: THE LINGUISTIC MACHINE</text> <text x="450" y="78" font-family="sans-serif" font-size="14" fill="#94a3b8" text-anchor="middle" font-style="italic">Reverse-engineering the highest density of information per unit of language.</text> <!-- LEFT COLUMN: THE COLLINS FRAMEWORK --> <text x="60" y="125" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">I. THE COLLINS FRAMEWORK</text> <text x="60" y="145" font-family="sans-serif" font-size="12" fill="#94a3b8">Modes of engagement to "activate" the poetic contract.</text> <!-- Mode 1: Color Probe --> <rect x="60" y="165" width="360" height="65" rx="12" fill="#ffffff10"/> <rect x="75" y="178" width="40" height="40" rx="6" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1.5"/> <path d="M85 188 L105 208 M105 188 L85 208" stroke="#f59e0b" stroke-width="2" opacity="0.8"/> <text x="130" y="188" font-family="sans-serif" font-weight="700" font-size="15" fill="#f8fafc">Color Probe</text> <text x="130" y="205" font-family="sans-serif" font-size="12" fill="#94a3b8">Holding the poem to light to find tonal shifts.</text> <!-- Mode 2: Acoustic Testing --> <rect x="60" y="240" width="360" height="65" rx="12" fill="#ffffff10"/> <rect x="75" y="253" width="40" height="40" rx="6" fill="#38bdf820" stroke="#38bdf8" stroke-width="1.5"/> <circle cx="95" cy="273" r="8" stroke="#38bdf8" fill="none" stroke-width="1.5"/> <circle cx="95" cy="273" r="4" fill="#38bdf8"/> <text x="130" y="263" font-family="sans-serif" font-weight="700" font-size="15" fill="#f8fafc">Acoustic Testing</text> <text x="130" y="280" font-family="sans-serif" font-size="12" fill="#94a3b8">Pressing an ear to the hive of phonetics.</text> <!-- Mode 3: Spatial Navigation --> <rect x="60" y="315" width="360" height="65" rx="12" fill="#ffffff10"/> <rect x="75" y="328" width="40" height="40" rx="6" fill="#e879f920" stroke="#e879f9" stroke-width="1.5"/> <path d="M85 338 L105 338 L105 358 L85 358 Z M90 343 L100 343 L100 353 L90 353 Z" fill="#e879f9" opacity="0.6"/> <text x="130" y="338" font-family="sans-serif" font-weight="700" font-size="15" fill="#f8fafc">Spatial Navigation</text> <text x="130" y="355" font-family="sans-serif" font-size="12" fill="#94a3b8">Walking the room, feeling for the light switch.</text> <!-- Mode 4: Surface Tension --> <rect x="60" y="390" width="360" height="65" rx="12" fill="#ffffff10"/> <rect x="75" y="403" width="40" height="40" rx="6" fill="#10b98120" stroke="#10b981" stroke-width="1.5"/> <path d="M80 423 Q95 410 110 423" stroke="#10b981" fill="none" stroke-width="2"/> <text x="130" y="413" font-family="sans-serif" font-weight="700" font-size="15" fill="#f8fafc">Surface Tension</text> <text x="130" y="430" font-family="sans-serif" font-size="12" fill="#94a3b8">Waterskiing across literal narrative first.</text> <!-- RIGHT COLUMN: THE SEMANTIC MATRIX --> <rect x="460" y="115" width="380" height="340" rx="16" fill="#ffffff08" stroke="#ffffff10" stroke-width="1"/> <text x="480" y="145" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">II. THE SEMANTIC MATRIX</text> <!-- Matrix Grid --> <line x1="520" y1="410" x2="810" y2="410" stroke="#94a3b8" stroke-width="1" marker-end="url(#arrow)"/> <line x1="520" y1="410" x2="520" y2="180" stroke="#94a3b8" stroke-width="1"/> <text x="815" y="415" font-family="sans-serif" font-size="10" fill="#94a3b8">VALENCE (+)</text> <text x="520" y="170" font-family="sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">INTENSITY</text> <!-- Data Points --> <!-- Glimmer --> <circle cx="560" cy="360" r="5" fill="#38bdf8" filter="url(#glow)"/> <text x="570" y="365" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f8fafc">Glimmer</text> <text x="570" y="378" font-family="sans-serif" font-size="10" fill="#94a3b8">Fragile / Hopeful</text> <!-- Fire --> <circle cx="620" cy="300" r="6" fill="#f59e0b" filter="url(#glow)"/> <text x="630" y="305" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f8fafc">Fire</text> <text x="630" y="318" font-family="sans-serif" font-size="10" fill="#94a3b8">Primal / Neutral</text> <!-- Blaze --> <circle cx="740" cy="240" r="8" fill="#e879f9" filter="url(#glow)"/> <text x="755" y="245" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f8fafc">Blaze</text> <text x="755" y="258" font-family="sans-serif" font-size="10" fill="#94a3b8">Brilliant / Awe</text> <!-- Inferno --> <circle cx="540" cy="210" r="10" fill="#ef4444" filter="url(#glow)"/> <text x="555" y="215" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f8fafc">Inferno</text> <text x="555" y="228" font-family="sans-serif" font-size="10" fill="#94a3b8">Hellish / Terror</text> <!-- Bottom Info Bar --> <rect x="60" y="480" width="780" height="50" rx="12" fill="url(#accentGrad)" opacity="0.15"/> <rect x="60" y="480" width="780" height="50" rx="12" fill="none" stroke="url(#accentGrad)" stroke-width="1"/> <text x="80" y="510" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">LEXICAL DENSITY:</text> <text x="215" y="510" font-family="sans-serif" font-size="13" fill="#f8fafc">Poetry averages &gt; 0.60 content-to-function word ratio.</text> <!-- Mini Bar Chart --> <text x="580" y="510" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="end">Prose</text> <rect x="590" y="500" width="60" height="12" rx="4" fill="#ffffff20"/> <rect x="590" y="500" width="25" height="12" rx="4" fill="#94a3b8"/> <text x="710" y="510" font-family="sans-serif" font-size="11" fill="#f8fafc" text-anchor="end">Poetry</text> <rect x="720" y="500" width="60" height="12" rx="4" fill="#ffffff20"/> <rect x="720" y="500" width="48" height="12" rx="4" fill="#38bdf8"/> <!-- Decorative Gear Icon (Machine Metaphor) --> <g transform="translate(820, 35) scale(0.8)" opacity="0.5"> <circle cx="20" cy="20" r="15" stroke="#f8fafc" stroke-width="2" fill="none" stroke-dasharray="4 2"/> <circle cx="20" cy="20" r="5" fill="#f8fafc"/> </g> </svg>Poetry: Fundamentals and Craft image 1Poetry: Fundamentals and Craft - Introduction to Literature - image 1https://www.getlykke.com/explore/public/introduction-to-literature-dddd0559-b847-41c2-80b1-3d80bca4bb2b/media/poetry-fundamentals-and-craft/svg/1Poetry: Fundamentals and Craft diagram 1Poetry: Fundamentals and Craft - Introduction to Literature - diagram 1https://www.getlykke.com/explore/public/introduction-to-literature-dddd0559-b847-41c2-80b1-3d80bca4bb2b/media/poetry-fundamentals-and-craft/svg/2Poetry: Fundamentals and Craft diagram 2Poetry: Fundamentals and Craft - Introduction to Literature - diagram 2https://www.getlykke.com/explore/public/introduction-to-literature-dddd0559-b847-41c2-80b1-3d80bca4bb2b/media/poetry-fundamentals-and-craft/svg/3Poetry: Fundamentals and Craft diagram 3Poetry: Fundamentals and Craft - Introduction to Literature - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <linearGradient id="accent-grad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#f59e0b"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> </defs> <!-- Background Layer --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Decorative Header Elements --> <circle cx="50" cy="50" r="100" fill="#38bdf8" fill-opacity="0.05"/> <path d="M 0 80 Q 450 120 900 80" stroke="#ffffff10" fill="none" stroke-width="2"/> <!-- Main Title --> <text x="450" y="60" text-anchor="middle" font-family="Arial, sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="2">THE ARCHITECTURE OF VERSE</text> <text x="450" y="85" text-anchor="middle" font-family="Georgia, serif" font-style="italic" font-size="16" fill="#94a3b8">Meter, Rhyme, and the Engineering of Language</text> <!-- Section 1: The Metrical Foot (Left Panel) --> <rect x="40" y="120" width="260" height="400" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="150" font-family="Arial, sans-serif" font-weight="bold" font-size="18" fill="#38bdf8">I. THE METRICAL FOOT</text> <text x="60" y="170" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">The "Atoms" of Rhythmic Pulse</text> <!-- Foot Types --> <g transform="translate(60, 195)"> <!-- Iamb --> <text y="0" font-family="Arial, sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">IAMB</text> <circle cx="80" cy="-5" r="4" fill="#94a3b8"/> <!-- unstressed --> <circle cx="100" cy="-5" r="7" fill="#f59e0b"/> <!-- stressed --> <text y="18" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Rising (x /) - "The heart-beat"</text> <!-- Trochee --> <text y="50" font-family="Arial, sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">TROCHEE</text> <circle cx="80" cy="45" r="7" fill="#e879f9"/> <circle cx="100" cy="45" r="4" fill="#94a3b8"/> <text y="68" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Falling (/ x) - "Driving pulse"</text> <!-- Anapest --> <text y="100" font-family="Arial, sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">ANAPEST</text> <circle cx="80" cy="95" r="4" fill="#94a3b8"/> <circle cx="95" cy="95" r="4" fill="#94a3b8"/> <circle cx="115" cy="95" r="7" fill="#38bdf8"/> <text y="118" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Galloping (x x /) - "Fast pace"</text> <!-- Dactyl --> <text y="150" font-family="Arial, sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">DACTYL</text> <circle cx="80" cy="145" r="7" fill="#38bdf8"/> <circle cx="100" cy="145" r="4" fill="#94a3b8"/> <circle cx="115" cy="145" r="4" fill="#94a3b8"/> <text y="168" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Stately (/ x x) - "Classical epic"</text> </g> <rect x="60" y="400" width="220" height="100" rx="8" fill="#ffffff05" stroke="#ffffff10"/> <text x="70" y="425" font-family="Arial, sans-serif" font-weight="bold" font-size="12" fill="#f59e0b">SCANSION DEFINED</text> <text x="70" y="445" font-family="Arial, sans-serif" font-size="11" fill="#f8fafc">The mapping of stress patterns</text> <text x="70" y="460" font-family="Arial, sans-serif" font-size="11" fill="#f8fafc">to identify the prevailing meter.</text> <text x="70" y="485" font-family="Courier New, monospace" font-size="14" fill="#38bdf8">x / | x / | x /</text> <!-- Section 2: Line Length (Center Panel) --> <rect x="320" y="120" width="260" height="400" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="340" y="150" font-family="Arial, sans-serif" font-weight="bold" font-size="18" fill="#e879f9">II. LINE LENGTH</text> <text x="340" y="170" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">The "Molecules" of Verse</text> <!-- Meter Scale --> <g transform="translate(340, 200)"> <line x1="0" y1="0" x2="0" y2="280" stroke="#94a3b8" stroke-width="1" stroke-dasharray="4 4"/> <circle cx="0" cy="20" r="5" fill="#e879f9"/> <text x="15" y="25" font-family="Arial, sans-serif" font-size="13" fill="#f8fafc">Monometer (1)</text> <circle cx="0" cy="60" r="5" fill="#e879f9"/> <text x="15" y="65" font-family="Arial, sans-serif" font-size="13" fill="#f8fafc">Dimeter (2)</text> <circle cx="0" cy="100" r="5" fill="#e879f9"/> <text x="15" y="105" font-family="Arial, sans-serif" font-size="13" fill="#f8fafc">Trimeter (3)</text> <circle cx="0" cy="140" r="5" fill="#e879f9"/> <text x="15" y="145" font-family="Arial, sans-serif" font-size="13" fill="#f8fafc">Tetrameter (4)</text> <!-- Highlighted Pentameter --> <rect x="10" y="165" width="200" height="40" rx="8" fill="#f59e0b20" stroke="#f59e0b50"/> <circle cx="0" cy="185" r="7" fill="#f59e0b"/> <text x="20" y="185" font-family="Arial, sans-serif" font-weight="bold" font-size="14" fill="#f59e0b">PENTAMETER (5)</text> <text x="20" y="200" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8">The English Standard (Shakespeare)</text> <circle cx="0" cy="230" r="5" fill="#e879f9"/> <text x="15" y="235" font-family="Arial, sans-serif" font-size="13" fill="#f8fafc">Hexameter (6)</text> <text x="0" y="275" font-family="Arial, sans-serif" font-style="italic" font-size="11" fill="#94a3b8">Named by Foot Type + Number</text> </g> <!-- Section 3: Stanzaic Form (Right Panel) --> <rect x="600" y="120" width="260" height="400" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="620" y="150" font-family="Arial, sans-serif" font-weight="bold" font-size="18" fill="#f59e0b">III. STANZAIC FORM</text> <text x="620" y="170" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">The "Cells" of the Page</text> <!-- Stanza Visuals --> <g transform="translate(620, 200)"> <!-- Couplet --> <rect width="40" height="4" rx="2" fill="#38bdf8"/> <rect y="8" width="40" height="4" rx="2" fill="#38bdf8"/> <text x="55" y="10" font-family="Arial, sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">COUPLET (2)</text> <!-- Quatrain --> <g transform="translate(0, 40)"> <rect width="40" height="4" rx="2" fill="#e879f9"/> <rect y="8" width="40" height="4" rx="2" fill="#94a3b8"/> <rect y="16" width="40" height="4" rx="2" fill="#e879f9"/> <rect y="24" width="40" height="4" rx="2" fill="#94a3b8"/> <text x="55" y="18" font-family="Arial, sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">QUATRAIN (4)</text> </g> <!-- Sestet/Octave --> <g transform="translate(0, 100)"> <rect width="40" height="2" rx="1" fill="#f59e0b" opacity="0.6"/> <rect y="5" width="40" 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font-weight="bold" fill="#f59e0b">The Script</text> <text x="50" y="170" font-family="sans-serif" font-size="12" fill="#94a3b8">The Dual Nature of the Text</text> <!-- TEI Visual --> <rect x="45" y="185" width="210" height="110" rx="8" fill="#00000040"/> <text x="55" y="205" font-family="monospace" font-size="10" fill="#38bdf8">&lt;TEI xmlns="tei-c.org"&gt;</text> <text x="65" y="220" font-family="monospace" font-size="10" fill="#94a3b8"> &lt;sp who="#Hamlet"&gt;</text> <text x="75" y="235" font-family="monospace" font-size="10" fill="#f8fafc"> &lt;speaker&gt;HAMLET&lt;/speaker&gt;</text> <text x="75" y="250" font-family="monospace" font-size="10" fill="#e879f9"> &lt;p&gt;To be, or not...&lt;/p&gt;</text> <text x="65" y="265" font-family="monospace" font-size="10" fill="#94a3b8"> &lt;/sp&gt;</text> <text x="65" y="280" font-family="monospace" font-size="10" fill="#f59e0b"> &lt;stage&gt;Enter OPHELIA&lt;/stage&gt;</text> <text x="50" y="325" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Primary Text</text> <text x="50" y="340" font-family="sans-serif" font-size="11" fill="#94a3b8">Spoken dialogue and character interaction.</text> <text x="50" y="375" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Secondary Text</text> <text x="50" y="390" font-family="sans-serif" font-size="11" fill="#94a3b8">Stage directions, subtext, and design.</text> <!-- Center Column: Freytag's Pyramid --> <text x="450" y="145" text-anchor="middle" font-family="sans-serif" font-size="18" font-weight="bold" fill="#e879f9">Structure: Freytag’s Pyramid</text> <!-- The Pyramid Path --> <path d="M 330,380 L 400,300 L 450,200 L 500,300 L 570,380" fill="none" stroke="#ffffff20" stroke-width="4" stroke-dasharray="8 4"/> <path d="M 330,380 L 400,300 L 450,200 L 500,300 L 570,380" fill="none" stroke="url(#accentGrad)" stroke-width="3" filter="url(#glow)"/> <!-- Pyramid Points --> <circle cx="330" cy="380" r="5" fill="#38bdf8"/> <circle cx="450" 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font-family="sans-serif" font-size="10" fill="#94a3b8">Law of Dramatic Tension</text> <!-- Right Column: Performance & Film --> <rect x="630" y="120" width="240" height="320" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="650" y="150" font-family="sans-serif" font-size="18" font-weight="bold" fill="#38bdf8">Mise-en-scène</text> <!-- Visual Icons --> <g transform="translate(650, 175)"> <circle cx="20" cy="20" r="15" fill="none" stroke="#e879f9" stroke-width="2"/> <line x1="20" y1="5" x2="20" y2="35" stroke="#e879f9" stroke-width="1"/> <line x1="5" y1="20" x2="35" y2="20" stroke="#e879f9" stroke-width="1"/> <text x="45" y="18" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Proxemics</text> <text x="45" y="32" font-family="sans-serif" font-size="11" fill="#94a3b8">Spatial relationships</text> </g> <g transform="translate(650, 235)"> <rect x="5" y="10" width="30" height="20" rx="4" fill="none" stroke="#f59e0b" stroke-width="2"/> <circle cx="20" cy="20" 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width="840" height="65" rx="16" fill="#ffffff10" stroke="#ffffff15"/> <text x="55" y="513" font-family="sans-serif" font-size="16" font-weight="bold" fill="#f8fafc">The Three Unities</text> <g transform="translate(220, 490)"> <circle cx="20" cy="20" r="15" fill="#38bdf820" stroke="#38bdf8" stroke-width="1.5"/> <text x="45" y="18" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f8fafc">Action</text> <text x="45" y="32" font-family="sans-serif" font-size="10" fill="#94a3b8">One main plot</text> </g> <g transform="translate(440, 490)"> <circle cx="20" cy="20" r="15" fill="#e879f920" stroke="#e879f9" stroke-width="1.5"/> <text x="45" y="18" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f8fafc">Place</text> <text x="45" y="32" font-family="sans-serif" font-size="10" fill="#94a3b8">Single location</text> </g> <g transform="translate(660, 490)"> <circle cx="20" cy="20" r="15" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1.5"/> <text x="45" y="18" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f8fafc">Time</text> <text x="45" y="32" font-family="sans-serif" font-size="10" fill="#94a3b8">Max 24 hours</text> </g> <!-- Decorative Corner Accents --> <circle cx="0" cy="0" r="40" fill="url(#accentGrad)" opacity="0.1"/> <circle cx="900" cy="560" r="60" fill="#38bdf8" opacity="0.05"/> </svg>Genres: Drama and Film image 1Genres: Drama and Film - Introduction to Literature - image 1https://www.getlykke.com/explore/public/introduction-to-literature-dddd0559-b847-41c2-80b1-3d80bca4bb2b/media/drama-and-film/svg/1Genres: Drama and Film diagram 1Genres: Drama and Film - Introduction to Literature - diagram 1https://www.getlykke.com/explore/public/introduction-to-literature-dddd0559-b847-41c2-80b1-3d80bca4bb2b/media/drama-and-film/svg/2Genres: Drama and Film diagram 2Genres: Drama and Film - Introduction to Literature - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" 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fill="#f8fafc" letter-spacing="1">ASSIGNMENTS &amp; APPLIED ANALYSIS</text> <text x="450" y="95" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="600" fill="#38bdf8" letter-spacing="4">LITERARY DECONSTRUCTION FRAMEWORK</text> <!-- Left Column: Character Analysis --> <rect x="40" y="130" width="400" height="400" rx="16" fill="#ffffff10" stroke="#38bdf833"/> <text x="65" y="165" font-family="sans-serif" font-size="20" font-weight="bold" fill="#f8fafc">Character Architecture</text> <text x="65" y="185" font-family="sans-serif" font-size="12" fill="#94a3b8">The systematic extraction of persona data points.</text> <!-- STEAL Method Visual --> <g transform="translate(65, 210)"> <!-- S --> <rect width="350" height="50" rx="8" fill="#ffffff05"/> <circle cx="25" cy="25" r="15" fill="#f59e0b22" stroke="#f59e0b" stroke-width="1"/> <text x="25" y="30" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f59e0b">S</text> <text x="55" y="22" 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font-size="14" font-weight="bold" fill="#e879f9">E</text> <text x="55" y="22" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Effect</text> <text x="55" y="38" font-family="sans-serif" font-size="11" fill="#94a3b8">Interpersonal friction and social standing.</text> </g> <!-- A --> <g transform="translate(0, 180)"> <rect width="350" height="50" rx="8" fill="#ffffff05"/> <circle cx="25" cy="25" r="15" fill="#10b98122" stroke="#10b981" stroke-width="1"/> <text x="25" y="30" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="bold" fill="#10b981">A</text> <text x="55" y="22" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Actions</text> <text x="55" y="38" font-family="sans-serif" font-size="11" fill="#94a3b8">Moral agency in moments of crisis.</text> </g> <!-- L --> <g transform="translate(0, 240)"> <rect width="350" height="50" rx="8" fill="#ffffff05"/> <circle cx="25" cy="25" r="15" fill="#f43f5e22" stroke="#f43f5e" stroke-width="1"/> <text x="25" y="30" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f43f5e">L</text> <text x="55" y="22" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Looks</text> <text x="55" y="38" font-family="sans-serif" font-size="11" fill="#94a3b8">Symbolic value of aesthetics and flaws.</text> </g> </g> <!-- Right Column: Close Reading --> <rect x="460" y="130" width="400" height="400" rx="16" fill="#ffffff10" stroke="#e879f933"/> <text x="485" y="165" font-family="sans-serif" font-size="20" font-weight="bold" fill="#f8fafc">Close Reading Loop</text> <text x="485" y="185" font-family="sans-serif" font-size="12" fill="#94a3b8">The recursive micro-analysis of syntax.</text> <!-- Circular Process Diagram --> <g transform="translate(660, 330)"> <circle r="100" fill="none" stroke="#ffffff10" stroke-width="2" stroke-dasharray="8 4"/> <!-- Step 1 --> <g transform="translate(0, -100)"> <circle r="20" fill="#1e1b4b" stroke="#38bdf8" stroke-width="2"/> <text y="5" text-anchor="middle" font-family="sans-serif" font-size="10" font-weight="bold" fill="#f8fafc">01</text> <text y="-30" text-anchor="middle" font-family="sans-serif" font-size="12" font-weight="bold" fill="#38bdf8">OBSERVE</text> </g> <!-- Step 2 --> <g transform="translate(100, 0)"> <circle r="20" fill="#1e1b4b" stroke="#38bdf8" stroke-width="2"/> <text y="5" text-anchor="middle" font-family="sans-serif" font-size="10" font-weight="bold" fill="#f8fafc">02</text> <text x="30" y="5" text-anchor="start" font-family="sans-serif" font-size="12" font-weight="bold" fill="#38bdf8">ANNOTATE</text> </g> <!-- Step 3 --> <g transform="translate(0, 100)"> <circle r="20" fill="#1e1b4b" stroke="#38bdf8" stroke-width="2"/> <text y="5" text-anchor="middle" font-family="sans-serif" font-size="10" font-weight="bold" fill="#f8fafc">03</text> <text y="35" text-anchor="middle" font-family="sans-serif" font-size="12" font-weight="bold" 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baseline-shift="sub" font-size="10">i</tspan> · c<tspan baseline-shift="sub" font-size="10">i</tspan>) / W </text> <text x="640" y="490" font-family="sans-serif" font-size="11" fill="#94a3b8">Textual Density Metric</text> <!-- Footer Decorative Elements --> <line x1="40" y1="545" x2="860" y2="545" stroke="url(#accentGrad)" stroke-width="2" opacity="0.5"/> <circle cx="40" cy="545" r="3" fill="#38bdf8"/> <circle cx="860" cy="545" r="3" fill="#e879f9"/> <text x="450" y="555" text-anchor="middle" font-family="sans-serif" font-size="9" fill="#475569" letter-spacing="1">LITERARY ANALYSIS MODULE // VERSION 2.4 // APPLIED HUMANITIES</text> </svg>Assignments and Applied Analysis image 1Assignments and Applied Analysis - Introduction to Literature - image 1https://www.getlykke.com/explore/public/introduction-to-literature-dddd0559-b847-41c2-80b1-3d80bca4bb2b/media/assignments-and-applied-analysis/svg/1Assignments and Applied Analysis diagram 1Assignments and Applied Analysis - Introduction to 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--> <text x="40" y="130" font-family="sans-serif" font-weight="700" font-size="18" fill="#f8fafc">The Taxonomy of Inquiry</text> <!-- Meta-ethics Card --> <rect x="40" y="145" width="260" height="85" rx="12" fill="#ffffff10" stroke="#ffffff20"/> <circle cx="65" cy="175" r="15" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <path d="M60 175 L65 180 L72 170" fill="none" stroke="#38bdf8" stroke-width="2"/> <text x="90" y="170" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">Meta-Ethics</text> <text x="90" y="188" font-family="sans-serif" font-size="11" fill="#94a3b8">The nature of moral language.</text> <text x="90" y="202" font-family="sans-serif" font-size="11" font-style="italic" fill="#38bdf8">"What does 'good' mean?"</text> <!-- Normative Ethics Card --> <rect x="40" y="245" width="260" height="85" rx="12" fill="#ffffff10" stroke="#ffffff20"/> <circle cx="65" cy="275" r="15" fill="#e879f920" stroke="#e879f9" stroke-width="2"/> <path d="M58 275 H72 M65 268 V282" fill="none" stroke="#e879f9" stroke-width="2"/> <text x="90" y="270" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">Normative Ethics</text> <text x="90" y="288" font-family="sans-serif" font-size="11" fill="#94a3b8">General rules for conduct.</text> <text x="90" y="302" font-family="sans-serif" font-size="11" font-style="italic" fill="#e879f9">"How should we act?"</text> <!-- Applied Ethics Card --> <rect x="40" y="345" width="260" height="85" rx="12" fill="#ffffff10" stroke="#ffffff20"/> <circle cx="65" cy="375" r="15" fill="#f59e0b20" stroke="#f59e0b" stroke-width="2"/> <rect x="60" y="370" width="10" height="10" fill="none" stroke="#f59e0b" stroke-width="2"/> <text x="90" y="370" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">Applied Ethics</text> <text x="90" y="388" font-family="sans-serif" font-size="11" fill="#94a3b8">Real-world moral problems.</text> <text x="90" y="402" font-family="sans-serif" font-size="11" font-style="italic" fill="#f59e0b">"Is AI data-mining ethical?"</text> <!-- Right Section: Historical Pipeline --> <text x="340" y="130" font-family="sans-serif" font-weight="700" font-size="18" fill="#f8fafc">The Historical Pipeline</text> <!-- Timeline Path --> <path d="M360 220 Q450 180 540 220 T720 220 T860 220" fill="none" stroke="#ffffff20" stroke-width="4" stroke-dasharray="8 4"/> <!-- Ancient --> <circle cx="360" cy="220" r="8" fill="#38bdf8" filter="url(#glow)"/> <text x="360" y="245" font-family="sans-serif" font-weight="700" font-size="12" fill="#f8fafc" text-anchor="middle">ANCIENT</text> <text x="360" y="260" font-family="sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">Virtue Ethics</text> <text x="360" y="275" font-family="sans-serif" font-size="10" fill="#38bdf8" text-anchor="middle">Aristotle</text> <!-- Medieval --> <circle cx="480" cy="205" r="8" fill="#38bdf8" filter="url(#glow)"/> <text x="480" y="185" font-family="sans-serif" font-weight="700" font-size="12" fill="#f8fafc" text-anchor="middle">MEDIEVAL</text> <text x="480" y="170" font-family="sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">Natural Law</text> <text x="480" y="155" font-family="sans-serif" font-size="10" fill="#38bdf8" text-anchor="middle">Aquinas</text> <!-- Enlightenment --> <circle cx="600" cy="220" r="8" fill="#e879f9" filter="url(#glow)"/> <text x="600" y="245" font-family="sans-serif" font-weight="700" font-size="12" fill="#f8fafc" text-anchor="middle">ENLIGHTENMENT</text> <text x="600" y="260" font-family="sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">Deontology</text> <text x="600" y="275" font-family="sans-serif" font-size="10" fill="#e879f9" text-anchor="middle">Kant</text> <!-- Industrial --> <circle cx="720" cy="220" r="8" fill="#e879f9" filter="url(#glow)"/> <text x="720" y="185" font-family="sans-serif" font-weight="700" font-size="12" fill="#f8fafc" text-anchor="middle">INDUSTRIAL</text> <text x="720" y="170" font-family="sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">Utilitarianism</text> <text x="720" y="155" font-family="sans-serif" font-size="10" fill="#e879f9" text-anchor="middle">Mill / Bentham</text> <!-- Post-Modern --> <circle cx="840" cy="220" r="8" fill="#f59e0b" filter="url(#glow)"/> <text x="840" y="245" font-family="sans-serif" font-weight="700" font-size="12" fill="#f8fafc" text-anchor="middle">POST-MODERN</text> <text x="840" y="260" font-family="sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">Critique</text> <text x="840" y="275" font-family="sans-serif" font-size="10" fill="#f59e0b" text-anchor="middle">Nietzsche</text> <!-- Bottom Section: Moral Logic --> <rect x="340" y="320" width="520" height="200" rx="16" fill="#00000030" stroke="#ffffff10"/> <text x="360" y="350" font-family="sans-serif" font-weight="700" font-size="18" fill="#f8fafc">The Logic of Moral Evaluation</text> <!-- Syllogism Visual --> <g transform="translate(360, 370)"> 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text-anchor="middle">"Action X harms"</text> </g> <path d="M700 425 L730 425" stroke="#f59e0b" stroke-width="3" marker-end="url(#arrowhead)"/> <defs> <marker id="arrowhead" markerWidth="10" markerHeight="7" refX="0" refY="3.5" orient="auto"> <polygon points="0 0, 10 3.5, 0 7" fill="#f59e0b" /> </marker> </defs> <g transform="translate(745, 370)"> <rect width="100" height="110" rx="8" fill="#f59e0b20" stroke="#f59e0b"/> <text x="50" y="25" font-family="monospace" font-size="11" fill="#f59e0b" text-anchor="middle">JUDGMENT</text> <text x="50" y="65" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f8fafc" text-anchor="middle">X IS WRONG</text> </g> <!-- Hume's Guillotine Note --> <path d="M510 495 L580 495" stroke="#ef4444" stroke-width="2"/> <text x="545" y="510" font-family="sans-serif" font-size="10" fill="#ef4444" text-anchor="middle">HUME'S GUILLOTINE: CANNOT DERIVE 'OUGHT' FROM 'IS'</text> <!-- Footer decoration --> <circle cx="860" cy="40" r="20" 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THE LANDSCAPE</text> <!-- Realism --> <g transform="translate(60, 190)"> <circle cx="15" cy="15" r="12" fill="#38bdf8" fill-opacity="0.2" stroke="#38bdf8" stroke-width="2"/> <circle cx="15" cy="15" r="4" fill="#38bdf8"/> <text x="40" y="15" fill="#f8fafc" font-family="Arial, sans-serif" font-weight="bold" font-size="14">Moral Realism</text> <text x="40" y="32" fill="#94a3b8" font-family="Arial, sans-serif" font-size="11">Mind-independent facts.</text> <text x="40" y="45" fill="#94a3b8" font-family="Arial, sans-serif" font-size="11">Truth is absolute/universal.</text> </g> <!-- Anti-Realism --> <g transform="translate(60, 270)"> <rect x="3" y="3" width="24" height="24" rx="4" fill="#e879f9" fill-opacity="0.2" stroke="#e879f9" stroke-width="2"/> <path d="M10 15 L20 15" stroke="#e879f9" stroke-width="2"/> <text x="40" y="15" fill="#f8fafc" font-family="Arial, sans-serif" font-weight="bold" font-size="14">Anti-Realism</text> <text x="40" y="32" fill="#94a3b8" font-family="Arial, sans-serif" font-size="11">Subjective or relative.</text> <text x="40" y="45" fill="#94a3b8" font-family="Arial, sans-serif" font-size="11">Socially constructed values.</text> </g> <!-- Error Theory --> <g transform="translate(60, 350)"> <path d="M15 3 L27 24 L3 24 Z" fill="#f43f5e" fill-opacity="0.2" stroke="#f43f5e" stroke-width="2"/> <text x="40" y="15" fill="#f8fafc" font-family="Arial, sans-serif" font-weight="bold" font-size="14">Error Theory</text> <text x="40" y="32" fill="#94a3b8" font-family="Arial, sans-serif" font-size="11">Morality is a false concept.</text> <text x="40" y="45" fill="#94a3b8" font-family="Arial, sans-serif" font-size="11">All moral claims are false.</text> </g> <!-- Center Column: Divine Command Theory --> <rect x="320" y="130" width="260" height="360" rx="16" fill="#ffffff10" stroke="#f59e0b33" stroke-width="2"/> <text x="340" y="165" fill="#f59e0b" font-family="Arial, sans-serif" font-weight="bold" font-size="18">2. 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THE DILEMMA</text> <path d="M730 200 L670 260 M730 200 L790 260" stroke="#e879f9" stroke-width="2" fill="none" stroke-dasharray="4 2"/> <circle cx="730" cy="200" r="5" fill="#e879f9"/> <!-- Horn 1 --> <rect x="615" y="270" width="110" height="90" rx="8" fill="#ffffff08" stroke="#e879f944"/> <text x="670" y="295" text-anchor="middle" fill="#f8fafc" font-family="Arial, sans-serif" font-weight="bold" font-size="12">VOLUNTARISM</text> <text x="670" y="315" text-anchor="middle" fill="#94a3b8" font-family="Arial, sans-serif" font-size="10">God creates morality.</text> <text x="670" y="330" text-anchor="middle" fill="#f43f5e" font-family="Arial, sans-serif" font-size="10" font-weight="bold">Risk: Arbitrariness</text> <!-- Horn 2 --> <rect x="745" y="270" width="110" height="90" rx="8" fill="#ffffff08" stroke="#38bdf844"/> <text x="800" y="295" text-anchor="middle" fill="#f8fafc" font-family="Arial, sans-serif" font-weight="bold" font-size="12">INTELLECTUALISM</text> <text x="800" y="315" text-anchor="middle" fill="#94a3b8" font-family="Arial, sans-serif" font-size="10">God recognizes morality.</text> <text x="800" y="330" text-anchor="middle" fill="#f43f5e" font-family="Arial, sans-serif" font-size="10" font-weight="bold">Risk: God is subject to Law</text> <g transform="translate(620, 385)"> <text x="0" y="20" fill="#f8fafc" font-family="Arial, sans-serif" font-size="12" font-weight="bold">The Argument from Queerness</text> <text x="0" y="38" fill="#94a3b8" font-family="Arial, sans-serif" font-size="11">J.L. 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y1="5" x2="70" y2="15" opacity="0.4"/> </g> <g font-family="sans-serif" font-size="13" fill="#94a3b8"> <text x="65" y="165" font-weight="600" fill="#f8fafc">Kin Selection</text> <text x="65" y="182">Helping relatives increases inclusive fitness.</text> <rect x="65" y="195" width="120" height="35" rx="8" fill="#0f172a" stroke="#38bdf8" stroke-opacity="0.5"/> <text x="125" y="218" text-anchor="middle" font-family="serif" font-style="italic" font-size="16" fill="#38bdf8">rB > C</text> <text x="195" y="217" font-size="11">Hamilton's Rule</text> <text x="65" y="260" font-weight="600" fill="#f8fafc">Reciprocal Altruism</text> <text x="65" y="277">"Tit-for-tat" cooperation and cheater detection.</text> <text x="65" y="310" font-weight="600" fill="#f8fafc">Group Selection</text> <text x="65" y="327">Cooperative groups outcompete selfish ones.</text> </g> <!-- Right Panel: Gendered Frameworks --> <rect x="470" y="100" width="390" height="310" rx="16" fill="url(#genderGrad)" stroke="#e879f9" stroke-opacity="0.3"/> <text x="495" y="135" font-family="sans-serif" font-size="20" font-weight="700" fill="#e879f9">Gendered Frameworks</text> <!-- Scales Icon --> <g transform="translate(780, 115) scale(0.8)" stroke="#e879f9" stroke-width="2" fill="none"> <path d="M0 30 h60 M30 0 v30"/> <path d="M0 30 q0 15 15 15 t15-15" opacity="0.6"/> <path d="M30 30 q0 15 15 15 t15-15" opacity="0.6"/> </g> <g font-family="sans-serif" font-size="13" fill="#94a3b8"> <text x="495" y="165" font-weight="600" fill="#f8fafc">Feminist Ethics</text> <text x="495" y="182">Critique of the "disembodied" rational agent.</text> <circle cx="505" cy="215" r="4" fill="#e879f9"/> <text x="520" y="219">Focus on power dynamics and hierarchy.</text> <circle cx="505" cy="240" r="4" fill="#e879f9"/> <text x="520" y="244">Ethics of Care vs. Ethics of Justice.</text> <text x="495" y="285" font-weight="600" fill="#f8fafc">Socio-Political Critique</text> <text x="495" y="302">Moral standards are often gendered constructs</text> <text x="495" y="318">that favor specific biological expressions.</text> </g> <!-- Center: The Is-Ought Gap --> <g transform="translate(435, 200)"> <line x1="0" y1="0" x2="30" y2="0" stroke="#f59e0b" stroke-width="2" stroke-dasharray="4 4"/> <circle cx="15" cy="0" r="20" fill="#0f172a" stroke="#f59e0b" stroke-width="1"/> <text x="15" y="5" text-anchor="middle" font-family="sans-serif" font-size="10" font-weight="bold" fill="#f59e0b">GAP</text> </g> <!-- Bottom Panel: The Bio-Social Model --> <rect x="40" y="430" width="820" height="100" rx="16" fill="#ffffff08" stroke="#f59e0b" stroke-opacity="0.4"/> <text x="450" y="460" text-anchor="middle" font-family="sans-serif" font-size="22" font-weight="700" fill="#f59e0b">The Bio-Social Model</text> <text x="450" y="485" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#f8fafc"> Synthesizing biological imperatives with gender-sensitive frameworks. </text> <text x="450" y="505" text-anchor="middle" font-family="sans-serif" font-size="12" fill="#94a3b8"> Moral instincts are evolved adaptations (IS), but their valuation is culturally constructed (OUGHT). </text> <!-- Small Game Theory Visual --> <g transform="translate(750, 445) scale(0.6)" opacity="0.7"> <rect x="0" y="0" width="60" height="60" fill="none" stroke="#94a3b8"/> <line x1="30" y1="0" x2="30" y2="60" stroke="#94a3b8"/> <line x1="0" y1="30" x2="60" y2="30" stroke="#94a3b8"/> <text x="15" y="20" text-anchor="middle" font-size="14" fill="#38bdf8">C</text> <text x="45" y="50" text-anchor="middle" font-size="14" fill="#e879f9">D</text> </g> <!-- Connecting Arrows --> <path d="M235 410 Q235 430 430 430" fill="none" stroke="#38bdf8" stroke-width="2" stroke-opacity="0.3" marker-end="url(#arrowBio)"/> <path d="M665 410 Q665 430 470 430" fill="none" stroke="#e879f9" stroke-width="2" stroke-opacity="0.3" marker-end="url(#arrowGender)"/> </svg>Contemporary Perspectives: Biology and Gender image 1Contemporary Perspectives: Biology and Gender - Introduction to Philosophy: Ethics - image 1https://www.getlykke.com/explore/public/introduction-to-philosophy-ethics-0a6967bf-c41b-41bd-bfcf-18f16e08bbf2/media/ethics-biology-and-gender/svg/1Contemporary Perspectives: Biology and Gender diagram 1Contemporary Perspectives: Biology and Gender - Introduction to Philosophy: Ethics - diagram 1https://www.getlykke.com/explore/public/introduction-to-philosophy-ethics-0a6967bf-c41b-41bd-bfcf-18f16e08bbf2/media/ethics-biology-and-gender/svg/2Contemporary Perspectives: Biology and Gender diagram 2Contemporary Perspectives: Biology and Gender - Introduction to Philosophy: Ethics - diagram 2https://www.getlykke.com/explore/public/western-civilization-i-fa5b625d-1434-48e1-adb1-266352f238572026-04-20T05:11:04.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background Layer --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="40" y="60" font-family="Arial, sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="-0.5">THE DAWN OF SYSTEMS</text> <text x="40" y="85" font-family="Arial, sans-serif" font-size="16" fill="#38bdf8" font-weight="600">PREHISTORY TO ANCIENT CIVILIZATIONS: THE GREAT STATE CHANGE</text> <line x1="40" y1="105" x2="860" y2="105" stroke="#ffffff20" stroke-width="1"/> <!-- Column 1: Paleolithic --> <rect x="40" y="130" width="260" height="380" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="60" y="165" font-family="Arial, sans-serif" font-weight="700" font-size="18" fill="#94a3b8">01. PALEOLITHIC</text> <text x="60" y="185" font-family="Arial, sans-serif" font-weight="400" font-size="12" fill="#64748b">The Biological Operating System</text> <!-- Icon: Spear/Fire --> <circle cx="170" cy="240" r="40" fill="#f59e0b20" stroke="#f59e0b" stroke-width="2"/> <path d="M 155 255 L 185 225 M 180 225 L 185 220 L 190 225" stroke="#f59e0b" stroke-width="3" fill="none"/> <path d="M 160 245 Q 170 210 180 245" stroke="#f59e0b" stroke-width="2" fill="none"/> <g font-family="Arial, sans-serif" font-size="13" fill="#f8fafc"> <text x="60" y="310">• Nomadic Hunter-Gatherers</text> <text x="60" y="335">• Small Egalitarian Bands</text> <text x="60" y="360">• Zero Surplus Economy</text> <text x="60" y="385">• Biological Evolution Driven</text> </g> <text x="60" y="480" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8" font-style="italic">"Survival via mobility and adaptation."</text> <!-- Transition Arrow 1 --> <path d="M 305 320 L 315 320" stroke="#38bdf8" stroke-width="2" marker-end="url(#arrowhead)"/> <!-- Column 2: Neolithic Revolution --> <rect x="320" y="130" width="260" height="380" rx="16" fill="#ffffff12" stroke="#38bdf840" stroke-width="2"/> <text x="340" y="165" font-family="Arial, sans-serif" font-weight="700" font-size="18" fill="#38bdf8">02. NEOLITHIC</text> <text x="340" y="185" font-family="Arial, sans-serif" font-weight="400" font-size="12" fill="#94a3b8">The Hardware Upgrade (c. 10k BCE)</text> <!-- Icon: Wheat/Grain --> <circle cx="450" cy="240" r="40" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <path d="M 450 270 L 450 215 M 440 230 L 450 220 L 460 230 M 440 250 L 450 240 L 460 250" stroke="#38bdf8" stroke-width="2" fill="none"/> <rect x="340" y="300" width="220" height="110" rx="8" fill="#00000040"/> <text x="350" y="325" font-family="Arial, sans-serif" font-weight="700" font-size="13" fill="#e879f9">THE SURPLUS ALGORITHM</text> <g font-family="Arial, sans-serif" font-size="12" fill="#cbd5e1"> <text x="350" y="350">1. Domestication (Input)</text> <text x="350" y="370">2. Intensification (Process)</text> <text x="350" y="390">3. 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text-anchor="middle" fill="#f8fafc" font-family="Arial, sans-serif" font-weight="800" font-size="34" letter-spacing="-0.5">THE MIDDLE AGES</text> <text x="450" y="85" text-anchor="middle" fill="#94a3b8" font-family="Arial, sans-serif" font-size="14" font-weight="500" letter-spacing="3">476 CE — 1450 CE • A TRANSFORMATIVE MILLENNIUM</text> <line x1="380" y1="100" x2="520" y2="100" stroke="#f59e0b" stroke-width="2" stroke-linecap="round"/> <!-- Left Card: Feudalism --> <rect x="40" y="125" width="400" height="290" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="65" y="155" fill="#f59e0b" font-family="Arial, sans-serif" font-weight="700" font-size="18">FEUDALISM</text> <text x="65" y="175" fill="#94a3b8" font-family="Arial, sans-serif" font-size="12">The Political &amp; Military Architecture</text> <!-- Hierarchy Diagram --> <g transform="translate(65, 195)"> <!-- Monarch --> <rect x="110" y="0" width="130" height="35" rx="6" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1"/> 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font-weight="bold">1450 CE</text> <text x="800" y="515" text-anchor="middle" fill="#94a3b8">Renaissance Dawn</text> </g> <!-- Decorative elements --> <circle cx="860" cy="40" r="20" fill="none" stroke="#f59e0b" stroke-width="1" stroke-dasharray="2 2"/> <path d="M 850 40 L 870 40 M 860 30 L 860 50" stroke="#f59e0b" stroke-width="1"/> <rect x="30" y="30" width="10" height="10" fill="#38bdf8" opacity="0.5"/> </svg>The Middle Ages image 1The Middle Ages - Western Civilization I - image 1https://www.getlykke.com/explore/public/western-civilization-i-fa5b625d-1434-48e1-adb1-266352f23857/media/the-middle-ages/svg/1The Middle Ages diagram 1The Middle Ages - Western Civilization I - diagram 1https://www.getlykke.com/explore/public/western-civilization-i-fa5b625d-1434-48e1-adb1-266352f23857/media/the-middle-ages/svg/2The Middle Ages diagram 2The Middle Ages - Western Civilization I - diagram 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sans-serif" font-weight="800" font-size="32" letter-spacing="2">RENAISSANCE &amp; REFORMATION</text> <text x="450" y="85" text-anchor="middle" fill="#94a3b8" font-family="Arial, sans-serif" font-size="14" font-weight="400">THE GREAT RE-ARCHITECTING OF WESTERN CIVILIZATION (14th - 17th C.)</text> <line x1="350" y1="105" x2="550" y2="105" stroke="#f59e0b" stroke-width="2" opacity="0.6"/> <!-- Section 1: Humanism (The Software) --> <rect x="40" y="130" width="260" height="340" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <circle cx="170" cy="180" r="35" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <path d="M 155 195 Q 170 160 185 195" fill="none" stroke="#38bdf8" stroke-width="2"/> <circle cx="170" cy="175" r="10" fill="none" stroke="#38bdf8" stroke-width="2"/> <text x="170" y="240" text-anchor="middle" fill="#38bdf8" font-family="Arial, sans-serif" font-weight="bold" font-size="18">HUMANISM</text> <text x="170" y="260" text-anchor="middle" fill="#94a3b8" font-family="Arial, sans-serif" font-size="12" font-style="italic">"The Software Upgrade"</text> <text x="60" y="295" fill="#f8fafc" font-family="Arial, sans-serif" font-weight="bold" font-size="14">AD FONTES</text> <text x="60" y="315" fill="#94a3b8" font-family="Arial, sans-serif" font-size="12">Return to original sources.</text> <text x="60" y="345" fill="#f8fafc" font-family="Arial, sans-serif" font-weight="bold" font-size="14">STUDIA HUMANITATIS</text> <text x="60" y="365" fill="#94a3b8" font-family="Arial, sans-serif" font-size="12">Grammar, Rhetoric, History,</text> <text x="60" y="380" fill="#94a3b8" font-family="Arial, sans-serif" font-size="12">Poetry, and Moral Philosophy.</text> <rect x="60" y="405" width="220" height="45" rx="8" fill="#38bdf815"/> <text x="170" y="425" text-anchor="middle" fill="#38bdf8" font-family="Arial, sans-serif" font-weight="bold" font-size="11">SHIFT: SCHOLASTICISM</text> <path d="M 140 435 L 200 435" stroke="#38bdf8" stroke-width="1" marker-end="url(#arrow)"/> <text x="170" y="445" text-anchor="middle" fill="#38bdf8" font-family="Arial, sans-serif" font-weight="bold" font-size="11">TO INDIVIDUAL AGENCY</text> <!-- Section 2: Printing Press (The Hardware) --> <rect x="320" y="130" width="260" height="340" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <g transform="translate(415, 150)"> <rect x="0" y="0" width="20" height="20" fill="#f59e0b" rx="2"/> <rect x="25" y="0" width="20" height="20" fill="#f59e0b" rx="2" opacity="0.7"/> <rect x="50" y="0" width="20" height="20" fill="#f59e0b" rx="2" opacity="0.4"/> <rect x="0" y="25" width="20" height="20" fill="#f59e0b" rx="2" opacity="0.7"/> <rect x="25" y="25" width="20" height="20" fill="#f59e0b" rx="2"/> <rect x="50" y="25" width="20" height="20" fill="#f59e0b" rx="2" opacity="0.7"/> <rect x="0" y="50" width="20" height="20" fill="#f59e0b" rx="2" opacity="0.4"/> <rect x="25" y="50" width="20" height="20" fill="#f59e0b" rx="2" opacity="0.7"/> <rect x="50" y="50" width="20" height="20" fill="#f59e0b" rx="2"/> </g> <text x="450" y="240" text-anchor="middle" fill="#f59e0b" font-family="Arial, sans-serif" font-weight="bold" font-size="18">PRINTING PRESS</text> <text x="450" y="260" text-anchor="middle" fill="#94a3b8" font-family="Arial, sans-serif" font-size="12" font-style="italic">"The Hardware Revolution"</text> <text x="340" y="295" fill="#f8fafc" font-family="Arial, sans-serif" font-weight="bold" font-size="14">MOVABLE TYPE</text> <text x="340" y="315" fill="#94a3b8" font-family="Arial, sans-serif" font-size="12">Lead-Antimony-Tin alloy slugs.</text> <text x="340" y="345" fill="#f8fafc" font-family="Arial, sans-serif" font-weight="bold" font-size="14">DATA DEMOCRACY</text> <text x="340" y="365" fill="#94a3b8" font-family="Arial, sans-serif" font-size="12">Production cost reduced by 3000%.</text> <text x="340" y="380" fill="#94a3b8" font-family="Arial, sans-serif" font-size="12">Information bypasses censorship.</text> <rect x="340" y="405" width="220" height="45" rx="8" fill="#f59e0b15"/> <text x="450" y="432" text-anchor="middle" fill="#f59e0b" font-family="Arial, sans-serif" font-weight="bold" font-size="16">HIGH BANDWIDTH</text> <!-- Section 3: Reformation (The Fork) --> <rect x="600" y="130" width="260" height="340" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <path d="M 730 150 L 730 180 L 690 210 M 730 180 L 770 210" fill="none" stroke="#e879f9" stroke-width="3" stroke-linecap="round"/> <circle cx="730" cy="150" r="5" fill="#e879f9"/> <circle cx="690" cy="210" r="5" fill="#e879f9"/> <circle cx="770" cy="210" r="5" fill="#e879f9"/> <text x="730" y="240" text-anchor="middle" fill="#e879f9" font-family="Arial, sans-serif" font-weight="bold" font-size="18">REFORMATION</text> <text x="730" y="260" text-anchor="middle" fill="#94a3b8" font-family="Arial, sans-serif" font-size="12" font-style="italic">"The System Fork"</text> <text x="620" y="295" fill="#f8fafc" font-family="Arial, sans-serif" font-weight="bold" font-size="14">SOLA FIDE</text> <text x="620" y="315" fill="#94a3b8" font-family="Arial, sans-serif" font-size="12">Justification by Faith alone.</text> <text x="620" y="345" fill="#f8fafc" font-family="Arial, sans-serif" font-weight="bold" font-size="14">SYSTEM FORK</text> <text x="620" y="365" fill="#94a3b8" font-family="Arial, sans-serif" font-size="12">95 Theses as a "Bug Report."</text> <text x="620" y="380" fill="#94a3b8" font-family="Arial, sans-serif" font-size="12">Fragmentation of the Hegemony.</text> <rect x="620" y="405" width="220" height="45" rx="8" fill="#e879f915"/> <text x="730" y="425" text-anchor="middle" fill="#e879f9" font-family="Arial, sans-serif" font-weight="bold" font-size="11">CATHOLIC MODEL: FAITH + WORKS</text> <text x="730" y="445" text-anchor="middle" fill="#e879f9" font-family="Arial, sans-serif" font-weight="bold" font-size="11">LUTHERAN MODEL: FAITH ALONE</text> <!-- Bottom Timeline/Comparison Footer --> <rect x="40" y="490" width="820" height="40" rx="20" fill="#ffffff05" stroke="#ffffff10"/> <text x="60" y="515" fill="#94a3b8" font-family="Arial, sans-serif" font-weight="bold" font-size="12">MIDDLE AGES</text> <line x1="150" y1="510" x2="750" y2="510" stroke="#94a3b8" stroke-width="1" stroke-dasharray="4 4"/> <text x="760" y="515" fill="#f59e0b" font-family="Arial, sans-serif" font-weight="bold" font-size="12">EARLY MODERN ERA</text> <!-- Decorative Elements --> <circle cx="40" cy="40" r="3" fill="#f59e0b" opacity="0.5"/> <circle cx="860" cy="40" r="3" fill="#38bdf8" opacity="0.5"/> <circle cx="40" cy="520" r="3" fill="#e879f9" opacity="0.5"/> <circle cx="860" cy="520" r="3" fill="#f59e0b" opacity="0.5"/> </svg>Renaissance and Reformation image 1Renaissance and Reformation - Western Civilization I - image 1<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg-grad" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg-grad)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="450" y="55" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="32" font-weight="800" letter-spacing="1">RE-ARCHITECTING WESTERN CIVILIZATION</text> <text x="450" y="85" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="16" font-weight="400" letter-spacing="2">THE GREAT SYSTEM UPGRADE: 1400 — 1650</text> <rect x="400" y="100" width="100" height="4" fill="#38bdf8" rx="2"/> <!-- Panel 1: Humanism (Software) --> <rect x="40" y="130" width="260" height="360" rx="16" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <circle cx="75" cy="165" r="18" fill="#38bdf822" stroke="#38bdf8" stroke-width="2"/> <path d="M 68 165 L 82 165 M 75 158 L 75 172" stroke="#38bdf8" stroke-width="2"/> <text x="105" y="170" fill="#38bdf8" font-family="sans-serif" font-size="18" font-weight="700">THE SOFTWARE</text> <text x="60" y="205" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="700">Humanism (Ad Fontes)</text> <text x="60" y="225" fill="#94a3b8" font-family="sans-serif" font-size="12" line-height="1.4"> <tspan x="60" dy="1.2em">Shift from divine predestination</tspan> <tspan x="60" dy="1.2em">to individual agency. 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Information</tspan> <tspan x="340" dy="1.2em">democratization at scale.</tspan> </text> <g transform="translate(340, 385)"> <rect width="45" height="45" rx="4" fill="#ffffff11" stroke="#f59e0b" stroke-width="1"/> <text x="22.5" y="30" text-anchor="middle" fill="#f8fafc" font-family="serif" font-size="24" font-weight="bold">A</text> <rect x="55" width="45" height="45" rx="4" fill="#ffffff11" stroke="#f59e0b" stroke-width="1"/> <text x="77.5" y="30" text-anchor="middle" fill="#f8fafc" font-family="serif" font-size="24" font-weight="bold">g</text> <rect x="110" width="45" height="45" rx="4" fill="#ffffff11" stroke="#f59e0b" stroke-width="1"/> <text x="132.5" y="30" text-anchor="middle" fill="#f8fafc" font-family="serif" font-size="24" font-weight="bold">Ω</text> <text x="0" y="65" fill="#94a3b8" font-family="sans-serif" font-size="10" letter-spacing="1">REUSABLE TYPE SLUGS</text> </g> <!-- Panel 3: Reformation (The Fork) --> <rect x="600" y="130" width="260" height="360" rx="16" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <circle cx="635" cy="165" r="18" fill="#e879f922" stroke="#e879f9" stroke-width="2"/> <path d="M 628 172 L 635 165 L 642 172 M 635 165 L 635 158" fill="none" stroke="#e879f9" stroke-width="2"/> <text x="665" y="170" fill="#e879f9" font-family="sans-serif" font-size="18" font-weight="700">THE FORK</text> <text x="620" y="205" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="700">Protestant Reformation</text> <g transform="translate(620, 230)"> <path d="M 0 40 Q 50 40 100 10 M 0 40 Q 50 40 100 70" fill="none" stroke="#e879f9" stroke-width="2" stroke-dasharray="4 2"/> <circle cx="0" cy="40" r="4" fill="#e879f9"/> <text x="110" y="15" fill="#f8fafc" font-family="sans-serif" font-size="11">Sola Fide</text> <text x="110" y="75" fill="#94a3b8" font-family="sans-serif" font-size="11">Tradition</text> </g> <text x="620" y="330" fill="#94a3b8" font-family="sans-serif" font-size="12"> <tspan x="620" dy="1.2em">A fundamental "bug report"</tspan> <tspan x="620" dy="1.2em">on Church hegemony leading</tspan> <tspan x="620" dy="1.2em">to a permanent system fork</tspan> <tspan x="620" dy="1.2em">and institutional competition.</tspan> </text> <g transform="translate(620, 410)"> <rect width="220" height="50" rx="8" fill="#e879f911" stroke="#e879f933"/> <text x="110" y="22" text-anchor="middle" fill="#e879f9" font-family="sans-serif" font-size="11" font-weight="bold">JUSTIFICATION LOGIC</text> <text x="110" y="40" text-anchor="middle" fill="#f8fafc" font-family="monospace" font-size="10">Faith + Works → Faith Alone</text> </g> <!-- Footer Timeline --> <line x1="40" y1="520" x2="860" y2="520" stroke="#ffffff22" stroke-width="2"/> <circle cx="40" cy="520" r="4" fill="#38bdf8"/> <text x="40" y="540" fill="#38bdf8" font-family="sans-serif" font-size="10" font-weight="bold">1350: PETRARCH</text> <circle cx="320" cy="520" r="4" fill="#f59e0b"/> <text x="320" y="540" fill="#f59e0b" font-family="sans-serif" font-size="10" 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1https://www.getlykke.com/explore/public/western-civilization-i-fa5b625d-1434-48e1-adb1-266352f23857/media/renaissance-and-reformation/svg/2Renaissance and Reformation diagram 2Renaissance and Reformation - Western Civilization I - diagram 2https://www.getlykke.com/explore/public/criminology-and-criminal-justice-f6d79bda-1ca6-42f1-9940-643cb1edfe952026-04-20T05:10:35.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="450" y="55" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="32" font-weight="800" letter-spacing="1">FOUNDATIONS OF CRIME &amp; CRIMINOLOGY</text> <rect x="350" y="70" width="200" height="4" rx="2" fill="#38bdf8"/> <!-- SECTION 1: DEVIANCE VS CRIME --> <rect x="40" y="100" width="400" height="180" rx="16" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <text x="65" y="135" fill="#38bdf8" font-family="sans-serif" font-size="18" font-weight="bold">THE SPECTRUM OF CONTROL</text> <!-- Comparison Icons/Shapes --> <circle cx="100" cy="190" r="35" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <text x="100" y="195" text-anchor="middle" fill="#38bdf8" font-family="sans-serif" font-size="10" font-weight="bold">DEVIANCE</text> <circle cx="150" cy="190" r="25" fill="#e879f920" stroke="#e879f9" stroke-width="2"/> <text x="150" y="195" text-anchor="middle" fill="#e879f9" font-family="sans-serif" font-size="10" font-weight="bold">CRIME</text> <g font-family="sans-serif" font-size="12"> <text x="210" y="170" fill="#f8fafc" font-weight="bold">DEVIANCE:</text> <text x="210" y="185" fill="#94a3b8">Violation of social norms.</text> <text x="210" y="200" fill="#94a3b8">Sanction: Social stigma.</text> <text x="210" y="230" fill="#f8fafc" font-weight="bold">CRIME:</text> <text x="210" y="245" fill="#94a3b8">Violation of codified law.</text> <text x="210" y="260" fill="#94a3b8">Sanction: State punishment.</text> </g> <!-- SECTION 2: CONSENSUS VS CONFLICT --> <rect x="40" y="300" width="400" height="220" rx="16" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <text x="65" y="335" fill="#e879f9" font-family="sans-serif" font-size="18" font-weight="bold">ORIGINS OF LAW</text> <!-- Consensus Side --> <rect x="65" y="355" width="165" height="140" rx="8" fill="#ffffff05"/> <text x="147" y="375" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="bold">CONSENSUS</text> <text x="147" y="395" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="11">Law as "Social Glue"</text> <path d="M 120 440 Q 147 410 174 440" stroke="#38bdf8" fill="none" stroke-width="2"/> <text x="147" y="460" text-anchor="middle" fill="#38bdf8" font-family="sans-serif" font-size="10" font-weight="bold">MALA IN SE</text> <text x="147" y="475" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10">Inherently Evil</text> <!-- Conflict Side --> <rect x="245" y="355" width="165" height="140" rx="8" fill="#ffffff05"/> <text x="327" y="375" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="bold">CONFLICT</text> <text x="327" y="395" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="11">Law as "Power Tool"</text> <path d="M 300 440 L 354 440 L 327 410 Z" fill="#e879f930" stroke="#e879f9" stroke-width="1"/> <text x="327" y="460" text-anchor="middle" fill="#e879f9" font-family="sans-serif" font-size="10" font-weight="bold">MALA PROHIBITA</text> <text x="327" y="475" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10">Wrong by Statute</text> <!-- SECTION 3: WEDDING CAKE MODEL --> <rect x="460" y="100" width="400" height="420" rx="16" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <text x="485" y="135" fill="#f59e0b" font-family="sans-serif" font-size="18" font-weight="bold">THE WEDDING CAKE MODEL</text> <text x="485" y="155" fill="#94a3b8" font-family="sans-serif" font-size="12">Systemic prioritization of justice resources.</text> <!-- Cake Layers --> <!-- Layer 1: Celebrated Cases --> <rect x="610" y="180" width="100" height="35" rx="4" fill="#f59e0b" filter="url(#glow)"/> <text x="720" y="202" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="bold">I. CELEBRATED CASES</text> <text x="720" y="215" fill="#94a3b8" font-family="sans-serif" font-size="10">Media frenzy, full trials.</text> <!-- Layer 2: Serious Felonies --> <rect x="570" y="225" width="180" height="50" rx="4" fill="#fbbf24"/> <text x="575" y="255" fill="#0f172a" font-family="sans-serif" font-size="13" font-weight="bold">II. SERIOUS FELONIES</text> <!-- Layer 3: Less Serious Felonies --> <rect x="530" y="285" width="260" height="65" rx="4" fill="#fcd34d"/> <text x="535" y="325" fill="#0f172a" font-family="sans-serif" font-size="13" font-weight="bold">III. LESS SERIOUS FELONIES</text> <!-- Layer 4: Misdemeanors --> <rect x="490" y="360" width="340" height="100" rx="4" fill="#fef3c7"/> <text x="495" y="415" fill="#0f172a" font-family="sans-serif" font-size="14" font-weight="900">IV. MISDEMEANORS</text> <text x="495" y="435" fill="#78350f" font-family="sans-serif" font-size="11" font-weight="bold">The vast majority of the system's workload.</text> <!-- Conditions of Deviance (Bottom Bar) --> <rect x="460" y="475" width="400" height="45" rx="8" fill="#38bdf815"/> <text x="475" y="493" fill="#38bdf8" font-family="sans-serif" font-size="10" font-weight="bold">GOODE'S 4 CONDITIONS OF DEVIANCE:</text> <text x="475" y="510" fill="#f8fafc" font-family="sans-serif" font-size="10">1. Norm Exists • 2. Violation • 3. Audience • 4. Negative Reaction</text> <!-- Decorative Elements --> <circle cx="40" cy="40" r="10" fill="#38bdf8" opacity="0.2"/> <circle cx="860" cy="520" r="20" fill="#e879f9" opacity="0.1"/> <path d="M 850 50 L 880 80" stroke="#f59e0b" stroke-width="2" opacity="0.3"/> </svg>Foundations of Crime and Criminology image 1Foundations of Crime and Criminology - Criminology and Criminal Justice - image 1https://www.getlykke.com/explore/public/criminology-and-criminal-justice-f6d79bda-1ca6-42f1-9940-643cb1edfe95/media/foundations-of-crime-and-criminology/svg/1Foundations of Crime and Criminology diagram 1Foundations of Crime and Criminology - Criminology and Criminal Justice - diagram 1https://www.getlykke.com/explore/public/criminology-and-criminal-justice-f6d79bda-1ca6-42f1-9940-643cb1edfe95/media/foundations-of-crime-and-criminology/svg/2Foundations of Crime and Criminology diagram 2Foundations of Crime and Criminology - Criminology and Criminal Justice - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background and Grid --> <rect width="900" height="560" fill="url(#bg)"/> <g stroke="#ffffff08" stroke-width="1"> <path d="M0 40h900M0 80h900M0 120h900M0 160h900M0 200h900M0 240h900M0 280h900M0 320h900M0 360h900M0 400h900M0 440h900M0 480h900M0 520h900"/> <path d="M40 0v560M80 0v560M120 0v560M160 0v560M200 0v560M240 0v560M280 0v560M320 0v560M360 0v560M400 0v560M440 0v560M480 0v560M520 0v560M560 0v560M600 0v560M640 0v560M680 0v560M720 0v560M760 0v560M800 0v560M840 0v560"/> </g> <!-- Header Section --> <text x="450" y="50" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" text-anchor="middle" letter-spacing="1">CRIMINAL LAW &amp; POLICY</text> <text x="450" y="75" font-family="sans-serif" font-size="14" fill="#94a3b8" text-anchor="middle" font-style="italic">The Dual-Engine System of Social Control</text> <rect x="350" y="85" width="200" height="2" fill="url(#accentGrad)"/> <!-- Left Panel: Criminal Law (The Static Framework) --> <rect x="40" y="110" width="390" height="300" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="145" font-family="sans-serif" font-weight="700" font-size="20" fill="#38bdf8">CRIMINAL LAW</text> <text x="60" y="165" font-family="sans-serif" font-size="12" fill="#94a3b8">The Static Framework: Rules &amp; Definitions</text> <!-- Actus Reus / Mens Rea --> <g transform="translate(60, 190)"> <rect width="165" height="60" rx="8" fill="#38bdf815" stroke="#38bdf844"/> <text x="10" y="25" font-family="sans-serif" font-weight="700" font-size="14" fill="#38bdf8">ACTUS REUS</text> <text x="10" y="45" font-family="sans-serif" font-size="11" fill="#f8fafc">The Physical Component</text> <text x="10" y="55" font-family="sans-serif" font-size="9" fill="#94a3b8">Voluntary act or omission</text> <rect x="185" width="165" height="60" rx="8" fill="#f59e0b15" stroke="#f59e0b44"/> <text x="195" y="25" font-family="sans-serif" font-weight="700" font-size="14" fill="#f59e0b">MENS REA</text> <text x="195" y="45" font-family="sans-serif" font-size="11" fill="#f8fafc">The Mental Component</text> <text x="195" y="55" font-family="sans-serif" font-size="9" fill="#94a3b8">Culpability &amp; Intent</text> </g> <!-- MPC Hierarchy --> <g transform="translate(60, 270)"> <text x="0" y="15" font-family="sans-serif" font-weight="700" font-size="12" fill="#f8fafc">MPC CULPABILITY LEVELS</text> <rect x="0" y="25" width="350" height="18" rx="4" fill="#f59e0b"/> 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fill="#ffffff0a" stroke="#ffffff15"/> <text x="490" y="145" font-family="sans-serif" font-weight="700" font-size="20" fill="#e879f9">CRIMINAL POLICY</text> <text x="490" y="165" font-family="sans-serif" font-size="12" fill="#94a3b8">The Dynamic Application: Strategy &amp; Data</text> <g transform="translate(490, 190)"> <!-- Policy Drivers --> <circle cx="20" cy="20" r="15" fill="#e879f922" stroke="#e879f9" stroke-width="2"/> <path d="M15 20l10 0M20 15l0 10" stroke="#e879f9" stroke-width="2"/> <text x="45" y="18" font-family="sans-serif" font-weight="600" font-size="13" fill="#f8fafc">Political Pressure</text> <text x="45" y="30" font-family="sans-serif" font-size="10" fill="#94a3b8">Legislative agendas and public outcry</text> <circle cx="20" cy="70" r="15" fill="#e879f922" stroke="#e879f9" stroke-width="2"/> <path d="M15 75l10-10M15 65l10 10" stroke="#e879f9" stroke-width="2"/> <text x="45" y="68" font-family="sans-serif" font-weight="600" font-size="13" fill="#f8fafc">Empirical Data</text> <text x="45" y="80" font-family="sans-serif" font-size="10" fill="#94a3b8">Crime rates, recidivism, and fiscal cost</text> <circle cx="20" cy="120" r="15" fill="#e879f922" stroke="#e879f9" stroke-width="2"/> <path d="M12 120h16M20 112v16" stroke="#e879f9" stroke-width="2" transform="rotate(45 20 120)"/> <text x="45" y="118" font-family="sans-serif" font-weight="600" font-size="13" fill="#f8fafc">Sociological Shifts</text> <text x="45" y="130" font-family="sans-serif" font-size="10" fill="#94a3b8">Changing definitions of morality/deviance</text> <!-- Resource Management Box --> <rect y="160" width="350" height="50" rx="8" fill="#ffffff05" stroke="#ffffff10"/> <text x="175" y="182" font-family="sans-serif" font-weight="700" font-size="12" fill="#e879f9" text-anchor="middle">RESOURCE PRIORITIZATION</text> <text x="175" y="198" font-family="sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">Determining where police and prosecutorial budgets flow</text> </g> <!-- Bottom Section: Classifications --> <g transform="translate(40, 430)"> <rect width="820" height="100" rx="16" fill="#ffffff05" stroke="#ffffff15"/> <!-- Mala in se --> <g transform="translate(30, 25)"> <rect width="360" height="50" rx="8" fill="#ef444415" stroke="#ef444444"/> <text x="15" y="22" font-family="sans-serif" font-weight="700" font-size="14" fill="#ef4444">MALA IN SE</text> <text x="15" y="40" font-family="sans-serif" font-size="11" fill="#f8fafc">"Evil in themselves" — Murder, Theft, Rape</text> <text x="345" y="30" font-family="sans-serif" font-weight="800" font-size="24" fill="#ef444422" text-anchor="end">MORAL</text> </g> <!-- Mala prohibita --> <g transform="translate(430, 25)"> <rect width="360" height="50" rx="8" fill="#10b98115" stroke="#10b98144"/> <text x="15" y="22" font-family="sans-serif" font-weight="700" font-size="14" fill="#10b981">MALA PROHIBITA</text> <text x="15" y="40" font-family="sans-serif" font-size="11" fill="#f8fafc">"Wrong because prohibited" — Traffic, Licensing</text> <text x="345" y="30" font-family="sans-serif" font-weight="800" font-size="24" fill="#10b98122" text-anchor="end">LEGAL</text> </g> <text x="410" y="90" font-family="sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">Categorization of Offenses based on Inherent Wrongfulness</text> </g> <!-- Decorative Icons --> <g opacity="0.2" transform="translate(820, 30)"> <path d="M0 0 L20 0 L10 20 Z" fill="#38bdf8"/> <circle cx="30" cy="10" r="5" fill="#e879f9"/> </g> <g opacity="0.2" transform="translate(30, 520)"> <rect width="15" height="15" fill="#f59e0b"/> <circle cx="30" cy="7" r="7" fill="#38bdf8"/> </g> </svg>Criminal Law and Policy image 1Criminal Law and Policy - Criminology and Criminal Justice - image 1https://www.getlykke.com/explore/public/criminology-and-criminal-justice-f6d79bda-1ca6-42f1-9940-643cb1edfe95/media/criminal-law-and-policy/svg/1Criminal Law and Policy diagram 1Criminal Law and Policy - Criminology and Criminal Justice - diagram 1<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="450" y="50" font-family="sans-serif" font-size="32" font-weight="800" fill="#f8fafc" text-anchor="middle" letter-spacing="1">CRIMINOLOGICAL THEORY</text> <text x="450" y="75" font-family="sans-serif" font-size="14" font-weight="400" fill="#94a3b8" text-anchor="middle" letter-spacing="3">ANALYTICAL FRAMEWORKS OF DEVIANCE &amp; SOCIAL ORDER</text> <line x1="350" y1="85" x2="550" y2="85" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 2"/> <!-- Column 1: Foundations --> <rect x="30" y="110" width="260" height="380" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="160" y="140" font-family="sans-serif" font-size="18" font-weight="700" fill="#38bdf8" text-anchor="middle">FOUNDATIONS</text> <!-- Social Contract Icon --> <circle cx="160" y="185" r="25" fill="#38bdf820" stroke="#38bdf8" stroke-width="1.5"/> <path d="M 145 185 Q 160 170 175 185 Q 160 200 145 185" fill="none" stroke="#38bdf8" stroke-width="2"/> <circle cx="160" y="185" r="5" fill="#38bdf8"/> <text x="160" y="230" font-family="sans-serif" font-size="14" font-weight="600" fill="#f8fafc" text-anchor="middle">The Social Contract</text> <text x="160" y="248" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">Liberty exchanged for protection</text> <rect x="45" y="270" width="230" height="100" rx="8" fill="#ffffff05"/> <text x="55" y="290" font-family="sans-serif" font-size="12" font-weight="700" fill="#f8fafc">Consensus vs. Conflict</text> <text x="55" y="310" font-family="sans-serif" font-size="11" fill="#94a3b8">Consensus: Shared values/norms</text> <text x="55" y="325" font-family="sans-serif" font-size="11" fill="#94a3b8">Conflict: Power &amp; exploitation</text> <text x="55" y="395" font-family="sans-serif" font-size="12" font-weight="700" fill="#f8fafc">Legal Classifications</text> <text x="55" y="415" font-family="sans-serif" font-size="11" fill="#38bdf8">Mala in se: <tspan fill="#94a3b8">Wrong in themselves</tspan></text> <text x="55" y="430" font-family="sans-serif" font-size="11" fill="#38bdf8">Mala prohibita: <tspan fill="#94a3b8">Wrong by law</tspan></text> <!-- Column 2: Classical School --> <rect x="320" y="110" width="260" height="380" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="450" y="140" font-family="sans-serif" font-size="18" font-weight="700" fill="#f59e0b" text-anchor="middle">CLASSICAL SCHOOL</text> <!-- Rational Choice Icon --> <rect x="430" y="165" width="40" height="40" rx="4" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1.5"/> <line x1="438" y1="175" x2="462" y2="175" stroke="#f59e0b" stroke-width="2"/> <line x1="438" y1="185" x2="462" y2="185" stroke="#f59e0b" stroke-width="2"/> <line x1="438" y1="195" x2="462" y2="195" stroke="#f59e0b" stroke-width="2"/> <text x="450" y="230" font-family="sans-serif" font-size="14" font-weight="600" fill="#f8fafc" text-anchor="middle">Rational Choice Theory</text> <text x="450" y="248" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">Cost-Benefit Analysis (Utility)</text> <rect x="335" y="270" width="230" height="135" rx="8" fill="#ffffff05"/> <text x="450" y="295" font-family="sans-serif" font-size="12" font-weight="700" fill="#f8fafc" text-anchor="middle">Deterrence Variables</text> <circle cx="370" y="325" r="15" fill="#f59e0b20" stroke="#f59e0b"/> <text x="370" y="330" font-family="sans-serif" font-size="10" font-weight="bold" fill="#f59e0b" text-anchor="middle">CER</text> <text x="415" y="322" font-family="sans-serif" font-size="11" font-weight="600" fill="#f8fafc">Certainty</text> <text x="415" y="334" font-family="sans-serif" font-size="10" fill="#94a3b8">Probability of arrest</text> <circle cx="370" y="365" r="15" fill="#f59e0b20" stroke="#f59e0b"/> <text x="370" y="370" font-family="sans-serif" font-size="10" font-weight="bold" fill="#f59e0b" text-anchor="middle">SEV</text> <text x="415" y="362" font-family="sans-serif" font-size="11" font-weight="600" fill="#f8fafc">Severity</text> <text x="415" y="374" font-family="sans-serif" font-size="10" fill="#94a3b8">Harshness of penalty</text> <text x="450" y="435" font-family="sans-serif" font-size="11" font-style="italic" fill="#94a3b8" text-anchor="middle">"Pain of punishment must exceed</text> <text x="450" y="450" font-family="sans-serif" font-size="11" font-style="italic" fill="#94a3b8" text-anchor="middle">the pleasure of the crime."</text> <!-- Column 3: Positivism --> <rect x="610" y="110" width="260" height="380" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="740" y="140" font-family="sans-serif" font-size="18" font-weight="700" fill="#e879f9" text-anchor="middle">POSITIVISM</text> <!-- DNA/Science Icon --> <path d="M 725 165 L 755 205 M 755 165 L 725 205" stroke="#e879f9" stroke-width="2" stroke-linecap="round"/> <circle cx="725" cy="165" r="3" fill="#e879f9"/> <circle cx="755" cy="165" r="3" fill="#e879f9"/> <circle cx="725" cy="205" r="3" fill="#e879f9"/> <circle cx="755" cy="205" r="3" fill="#e879f9"/> <line x1="732" y1="175" x2="748" y2="175" stroke="#e879f9" stroke-width="1"/> <line x1="736" y1="185" x2="744" y2="185" stroke="#e879f9" stroke-width="1"/> <line x1="732" y1="195" x2="748" y2="195" stroke="#e879f9" stroke-width="1"/> <text x="740" y="230" font-family="sans-serif" font-size="14" font-weight="600" fill="#f8fafc" text-anchor="middle">Determinism</text> <text x="740" y="248" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">Behavior is caused, not chosen</text> <rect x="625" y="270" width="230" height="100" rx="8" fill="#ffffff05"/> <text x="635" y="290" font-family="sans-serif" font-size="12" font-weight="700" fill="#f8fafc">Key Influences</text> <text x="635" y="310" font-family="sans-serif" font-size="11" fill="#94a3b8">• Biological (Genetics, Brain)</text> <text x="635" y="325" font-family="sans-serif" font-size="11" fill="#94a3b8">• Psychological (Personality)</text> <text x="635" y="340" font-family="sans-serif" font-size="11" fill="#94a3b8">• Sociological (Environment)</text> <text x="740" y="400" font-family="sans-serif" font-size="12" font-weight="700" fill="#f8fafc" text-anchor="middle">Scientific Method</text> <text x="740" y="420" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">Focus shifts from the <tspan fill="#e879f9">ACT</tspan></text> <text x="740" y="435" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">to the <tspan fill="#e879f9">OFFENDER</tspan></text> <!-- Footer Highlight --> <rect x="30" y="510" width="840" height="35" rx="8" fill="#00000040"/> <text x="450" y="532" font-family="sans-serif" font-size="13" font-weight="600" fill="#f8fafc" text-anchor="middle"> <tspan fill="#f59e0b">THE DARK FIGURE OF CRIME:</tspan> <tspan fill="#94a3b8" font-weight="400"> The vast volume of unrecorded and unknown criminal activity.</tspan> </text> <!-- Decorative elements --> <circle cx="850" cy="50" r="20" fill="#38bdf810" stroke="#38bdf820" stroke-width="1"/> <circle cx="50" cy="510" r="30" fill="#e879f905" stroke="#e879f910" stroke-width="1"/> </svg>Criminological Theory image 1Criminological Theory - Criminology and Criminal Justice - image 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in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dotPattern)"/> <!-- Header --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="2" filter="url(#glow)">POLICING &amp; LAW ENFORCEMENT</text> <line x1="300" y1="65" x2="600" y2="65" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 4"/> <!-- Section 1: Peelian Principles --> <rect x="40" y="90" width="400" height="230" rx="16" fill="#ffffff10" stroke="#ffffff20"/> <text x="60" y="120" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">The Peelian Revolution (1829)</text> <text x="60" y="140" font-family="sans-serif" font-size="12" fill="#94a3b8">"The police are the public and the public are the police."</text> <!-- Principle Grid --> <g transform="translate(60, 165)"> <circle cx="15" cy="15" r="15" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1"/> <text x="15" y="20" text-anchor="middle" fill="#f59e0b" font-size="14" font-weight="bold">1</text> <text x="40" y="12" font-family="sans-serif" font-weight="600" font-size="13" fill="#f8fafc">Prevention</text> <text x="40" y="26" font-family="sans-serif" font-size="11" fill="#94a3b8">Proactive over reactive force.</text> <g transform="translate(0, 50)"> <circle cx="15" cy="15" r="15" fill="#38bdf820" stroke="#38bdf8" stroke-width="1"/> <text x="15" y="20" text-anchor="middle" fill="#38bdf8" font-size="14" font-weight="bold">2</text> <text x="40" y="12" font-family="sans-serif" font-weight="600" font-size="13" fill="#f8fafc">Approval</text> <text x="40" y="26" font-family="sans-serif" font-size="11" fill="#94a3b8">Dependent on public consent.</text> </g> <g transform="translate(180, 0)"> <circle cx="15" cy="15" r="15" fill="#e879f920" stroke="#e879f9" stroke-width="1"/> <text x="15" y="20" text-anchor="middle" fill="#e879f9" font-size="14" font-weight="bold">3</text> <text x="40" y="12" font-family="sans-serif" font-weight="600" font-size="13" fill="#f8fafc">Cooperation</text> <text x="40" y="26" font-family="sans-serif" font-size="11" fill="#94a3b8">Securing willing assistance.</text> </g> <g transform="translate(180, 50)"> <circle cx="15" cy="15" r="15" fill="#10b98120" stroke="#10b981" stroke-width="1"/> <text x="15" y="20" text-anchor="middle" fill="#10b981" font-size="14" font-weight="bold">4</text> <text x="40" y="12" font-family="sans-serif" font-weight="600" font-size="13" fill="#f8fafc">Proportionality</text> <text x="40" y="26" font-family="sans-serif" font-size="11" fill="#94a3b8">Force as a last resort.</text> </g> </g> <!-- Section 2: Historical Lineage --> <rect x="460" y="90" width="400" height="230" rx="16" fill="#ffffff10" stroke="#ffffff20"/> <text x="480" y="120" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">Historical Lineage</text> <g transform="translate(480, 145)"> <rect width="360" height="60" rx="8" fill="#ffffff05"/> <path d="M15 15 L30 45 L45 15 Z" fill="none" stroke="#f59e0b" stroke-width="2"/> <text x="60" y="25" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Kin Policing</text> <text x="60" y="42" font-family="sans-serif" font-size="12" fill="#94a3b8">Decentralized, tribal enforcement. 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Radios</text> </g> <!-- Era 3 --> <g transform="translate(480, 460)"> <circle r="6" fill="#10b981"/> <text y="-75" font-family="sans-serif" font-weight="700" font-size="13" fill="#10b981">COMMUNITY</text> <text y="-60" font-family="sans-serif" font-size="11" fill="#f8fafc">1970s – 2001</text> <text y="-40" font-family="sans-serif" font-size="10" fill="#94a3b8">Problem Solving</text> <text y="-28" font-family="sans-serif" font-size="10" fill="#94a3b8">Public Partnerships</text> <text y="-16" font-family="sans-serif" font-size="10" fill="#94a3b8">Foot Patrols</text> </g> <!-- Era 4 --> <g transform="translate(680, 460)"> <circle r="6" fill="#e879f9"/> <text y="-75" font-family="sans-serif" font-weight="700" font-size="13" fill="#e879f9">HOMELAND</text> <text y="-60" font-family="sans-serif" font-size="11" fill="#f8fafc">2001 – Present</text> <text y="-40" font-family="sans-serif" font-size="10" fill="#94a3b8">Intelligence-Led</text> <text y="-28" font-family="sans-serif" font-size="10" fill="#94a3b8">Counter-Terrorism</text> <text y="-16" font-family="sans-serif" font-size="10" fill="#94a3b8">Militarization</text> </g> <!-- Discretion Badge --> <g transform="translate(720, 30)"> <rect width="140" height="40" rx="20" fill="#f59e0b" fill-opacity="0.2" stroke="#f59e0b"/> <text x="70" y="25" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="12" fill="#f59e0b">POLICE DISCRETION</text> <circle cx="10" cy="20" r="3" fill="#f59e0b"/> <circle cx="130" cy="20" r="3" fill="#f59e0b"/> </g> </svg>Policing and Law Enforcement image 1Policing and Law Enforcement - Criminology and Criminal Justice - image 1https://www.getlykke.com/explore/public/criminology-and-criminal-justice-f6d79bda-1ca6-42f1-9940-643cb1edfe95/media/policing-and-law-enforcement/svg/1Policing and Law Enforcement diagram 1Policing and Law Enforcement - Criminology and Criminal Justice - diagram 1https://www.getlykke.com/explore/public/criminology-and-criminal-justice-f6d79bda-1ca6-42f1-9940-643cb1edfe95/media/policing-and-law-enforcement/svg/2Policing and Law Enforcement diagram 2Policing and Law Enforcement - Criminology and Criminal Justice - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">THE JUDICIAL SYSTEM</text> <text x="450" y="75" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" font-style="italic">The Middle Pillar of the American Criminal Justice Apparatus</text> <rect x="400" y="85" width="100" height="3" fill="#f59e0b" rx="1.5"/> <!-- Main Comparison Columns --> <!-- State Column --> <rect x="40" y="110" width="395" height="320" rx="16" fill="#ffffff0a" stroke="#38bdf844" stroke-width="1"/> <text x="60" y="140" font-family="sans-serif" font-weight="700" font-size="20" fill="#38bdf8">STATE HIERARCHY</text> <text x="60" y="160" font-family="sans-serif" font-size="12" fill="#94a3b8">Handles 90-95% of all criminal cases</text> <!-- State Tiers --> <g transform="translate(60, 180)"> <rect width="355" height="45" rx="8" fill="#38bdf815"/> <text x="15" y="20" font-family="sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">1. State Supreme Court</text> <text x="15" y="36" font-family="sans-serif" font-size="11" fill="#94a3b8">Court of last resort for state law issues.</text> <rect y="55" width="355" height="45" rx="8" fill="#38bdf815"/> <text x="15" y="75" font-family="sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">2. Intermediate Appellate Courts</text> <text x="15" y="91" font-family="sans-serif" font-size="11" fill="#94a3b8">Reviews trial court decisions for procedural errors.</text> <rect y="110" width="355" height="45" rx="8" fill="#38bdf815"/> <text x="15" y="130" font-family="sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">3. Courts of General Jurisdiction</text> <text x="15" y="146" font-family="sans-serif" font-size="11" fill="#94a3b8">Trial courts for serious crimes (felonies).</text> <rect y="165" width="355" height="45" rx="8" fill="#38bdf815"/> <text x="15" y="185" font-family="sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">4. 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M 20 0 L 20 35 M 5 35 L 35 35" stroke="#38bdf8" stroke-width="2"/> <path d="M 0 10 L -5 25 A 10 10 0 0 0 5 25 Z" fill="#38bdf8" transform="translate(0,0)"/> <path d="M 40 10 L 35 25 A 10 10 0 0 0 45 25 Z" fill="#38bdf8" transform="translate(0,0)"/> </g> <!-- Dual Sovereignty Callout --> <g transform="translate(415, 415)"> <rect x="0" y="0" width="70" height="20" rx="10" fill="#1e1b4b" stroke="#e879f9" stroke-width="1"/> <text x="35" y="14" text-anchor="middle" font-family="sans-serif" font-size="9" font-weight="bold" fill="#e879f9">DUAL SOVEREIGNTY</text> </g> </svg>The Judicial System image 1The Judicial System - Criminology and Criminal Justice - image 1https://www.getlykke.com/explore/public/criminology-and-criminal-justice-f6d79bda-1ca6-42f1-9940-643cb1edfe95/media/the-judicial-system/svg/1The Judicial System diagram 1The Judicial System - Criminology and Criminal Justice - diagram 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<circle cx="12" cy="12" r="12" fill="#22c55e22" stroke="#22c55e" stroke-width="1"/> <path d="M12 17 V7 M9 10 L12 7 L15 10" fill="none" stroke="#22c55e" stroke-width="1.5"/> <text x="35" y="12" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="14">Rehabilitation</text> <text x="35" y="28" fill="#94a3b8" font-family="sans-serif" font-size="11">Addressing root causes of crime.</text> </g> <g transform="translate(45, 385)"> <circle cx="12" cy="12" r="12" fill="#f8fafc22" stroke="#f8fafc" stroke-width="1"/> <path d="M8 12 A4 4 0 1 1 16 12 A4 4 0 1 1 8 12" fill="none" stroke="#f8fafc" stroke-width="1.5"/> <text x="35" y="12" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="14">Restoration</text> <text x="35" y="28" fill="#94a3b8" font-family="sans-serif" font-size="11">Healing victim and community.</text> </g> <!-- Center Panel: Historical Evolution --> <rect x="310" y="110" width="280" height="360" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text 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fill="#ffffff05" stroke="#ffffff10"/> <text x="515" y="180" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="13">AUBURN</text> <text x="515" y="195" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10">"Congregate System"</text> <g transform="translate(495, 210)"> <rect x="0" y="0" width="10" height="20" fill="#38bdf855"/> <rect x="15" y="0" width="10" height="20" fill="#38bdf855"/> <rect x="30" y="0" width="10" height="20" fill="#38bdf855"/> </g> <text x="515" y="260" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10">Group Labor</text> <text x="515" y="275" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10">Economic Utility</text> <!-- Timeline Arrow --> <path d="M325 340 L565 340" stroke="#334155" stroke-width="2" marker-end="url(#arrowhead)"/> <circle cx="325" cy="340" r="4" fill="#38bdf8"/> <text x="325" y="360" text-anchor="middle" fill="#f8fafc" 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stroke="#38bdf8" stroke-width="2"/> <text x="105" y="170" fill="#38bdf8" font-family="sans-serif" font-size="18" font-weight="bold">Social Disorganization Theory</text> <text x="65" y="200" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="600">Primary Driver: Structural Decay</text> <text x="65" y="220" fill="#94a3b8" font-family="sans-serif" font-size="12" width="340"> <tspan x="65" dy="0">Focuses on how neighborhood ecological factors—poverty,</tspan> <tspan x="65" dy="16">residential mobility, and ethnic heterogeneity—weaken</tspan> <tspan x="65" dy="16">informal social controls and community cohesion.</tspan> </text> <rect x="65" y="265" width="340" height="45" rx="8" fill="#38bdf811"/> <text x="75" y="282" fill="#38bdf8" font-family="sans-serif" font-size="11" font-weight="bold">POLICY OUTCOME:</text> <text x="75" y="298" fill="#f8fafc" font-family="sans-serif" font-size="12">Urban renewal, community investment, and social programs.</text> <!-- Right Card: Broken Windows --> <rect x="470" y="130" width="390" height="200" rx="16" fill="#ffffff0a" stroke="#f59e0b44" stroke-width="1"/> <circle cx="505" cy="165" r="18" fill="#f59e0b22"/> <path d="M 498 158 L 512 172 M 512 158 L 498 172" fill="none" stroke="#f59e0b" stroke-width="2"/> <text x="535" y="170" fill="#f59e0b" font-family="sans-serif" font-size="18" font-weight="bold">Broken Windows Theory</text> <text x="495" y="200" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="600">Primary Driver: Visible Disorder</text> <text x="495" y="220" fill="#94a3b8" font-family="sans-serif" font-size="12"> <tspan x="495" dy="0">Suggests that minor signs of neglect (graffiti, litter)</tspan> <tspan x="495" dy="16">signal a lack of control, inviting more serious crime</tspan> <tspan x="495" dy="16">through a perceived absence of formal monitoring.</tspan> </text> <rect x="495" y="265" width="340" height="45" rx="8" fill="#f59e0b11"/> <text x="505" y="282" fill="#f59e0b" 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Disinvestment</text> <text x="285" y="445" fill="#94a3b8" font-family="sans-serif" font-size="11"> <tspan x="285" dy="0">Erosion of tax base,</tspan> <tspan x="285" dy="14">failing infrastructure,</tspan> <tspan x="285" dy="14">and school funding gaps.</tspan> </text> <!-- Step 3 --> <rect x="480" y="400" width="170" height="100" rx="12" fill="#ffffff08"/> <text x="495" y="425" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="bold">3. Disorganization</text> <text x="495" y="445" fill="#94a3b8" font-family="sans-serif" font-size="11"> <tspan x="495" dy="0">Weakening of informal</tspan> <tspan x="495" dy="14">social controls and</tspan> <tspan x="495" dy="14">community bonds.</tspan> </text> <!-- Step 4 --> <rect x="690" y="400" width="150" height="100" rx="12" fill="#e879f911" stroke="#e879f944"/> <text x="705" y="425" fill="#e879f9" font-family="sans-serif" font-size="13" font-weight="bold">4. Over-Policing</text> <text x="705" y="445" fill="#f8fafc" font-family="sans-serif" font-size="11"> <tspan x="705" dy="0">Concentrated police</tspan> <tspan x="705" dy="14">presence and higher</tspan> <tspan x="705" dy="14">incarceration rates.</tspan> </text> <!-- Connecting Lines --> <path d="M 230 450 L 270 450" stroke="#475569" stroke-width="2" marker-end="url(#arrowhead)"/> <path d="M 440 450 L 480 450" stroke="#475569" stroke-width="2" marker-end="url(#arrowhead)"/> <path d="M 650 450 L 690 450" stroke="#475569" stroke-width="2" marker-end="url(#arrowhead)"/> <!-- Marker Definition --> <defs> <marker id="arrowhead" markerWidth="10" markerHeight="7" refX="0" refY="3.5" orient="auto"> <polygon points="0 0, 10 3.5, 0 7" fill="#475569" /> </marker> </defs> <!-- Decorative Accents --> <circle cx="850" cy="50" r="30" fill="#38bdf808" /> <circle cx="850" cy="50" r="15" fill="#38bdf808" /> <circle cx="50" cy="510" r="20" fill="#f59e0b08" /> </svg>Urban Inequality and Social Disparities image 1Urban Inequality and Social Disparities - Criminology and Criminal Justice - image 1https://www.getlykke.com/explore/public/criminology-and-criminal-justice-f6d79bda-1ca6-42f1-9940-643cb1edfe95/media/urban-inequality-and-social-disparities/svg/1Urban Inequality and Social Disparities diagram 1Urban Inequality and Social Disparities - Criminology and Criminal Justice - diagram 1<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Header --> <text x="450" y="50" font-family="sans-serif" font-size="32" font-weight="bold" fill="#f8fafc" text-anchor="middle" letter-spacing="1">SOCIOLOGICAL IMAGINATION &amp; RESEARCH</text> <rect x="350" y="65" width="200" height="4" fill="url(#accentGrad)" rx="2"/> <text x="450" y="85" font-family="sans-serif" font-size="14" fill="#94a3b8" text-anchor="middle" font-style="italic">Decoding the Architecture of Crime and Social Structure</text> <!-- Left Panel: The Imagination --> <rect x="30" y="110" width="260" height="340" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="50" y="145" font-family="sans-serif" font-size="18" font-weight="bold" fill="#38bdf8">THE IMAGINATION</text> <text x="50" y="165" font-family="sans-serif" font-size="12" fill="#94a3b8">C. Wright Mills' Macro-Micro Interface</text> <!-- Icon: Micro vs Macro --> <circle cx="90" cy="220" r="25" fill="none" stroke="#f59e0b" stroke-width="2"/> <circle cx="90" cy="215" r="8" fill="#f59e0b"/> <text x="90" y="260" font-family="sans-serif" font-size="11" fill="#f8fafc" text-anchor="middle">PERSONAL TROUBLES</text> <path d="M140 220 L180 220" stroke="#ffffff30" stroke-width="2" stroke-dasharray="4"/> <rect x="200" y="195" width="50" height="50" fill="none" stroke="#38bdf8" stroke-width="2"/> <rect x="210" y="205" width="10" height="30" fill="#38bdf820" stroke="#38bdf8" stroke-width="1"/> <rect x="225" y="215" width="10" height="20" fill="#38bdf820" stroke="#38bdf8" stroke-width="1"/> <text x="225" y="260" font-family="sans-serif" font-size="11" fill="#f8fafc" text-anchor="middle">PUBLIC ISSUES</text> <text x="50" y="300" font-family="sans-serif" font-size="12" fill="#f8fafc" font-weight="bold">Social Status Variables:</text> <text x="50" y="320" font-family="sans-serif" font-size="11" fill="#94a3b8">• Race, Class, &amp; Gender</text> <text x="50" y="335" font-family="sans-serif" font-size="11" fill="#94a3b8">• Economic Shifts</text> <text x="50" y="350" font-family="sans-serif" font-size="11" fill="#94a3b8">• Institutional Biases</text> <!-- Center Panel: Competing Perspectives --> <rect x="310" y="110" width="280" height="340" rx="16" fill="#ffffff12" stroke="#ffffff20"/> <text x="450" y="145" font-family="sans-serif" font-size="18" font-weight="bold" fill="#e879f9" text-anchor="middle">THE LENS</text> <!-- Consensus vs Conflict Graphic --> <g transform="translate(330, 180)"> <rect width="115" height="100" rx="8" fill="#ffffff05" stroke="#38bdf8" stroke-width="1"/> <text x="57" y="25" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc" text-anchor="middle">CONSENSUS</text> <circle cx="57" cy="60" r="15" fill="none" stroke="#38bdf8" stroke-width="2"/> <circle cx="50" cy="60" r="10" fill="none" stroke="#38bdf8" stroke-width="1"/> <circle cx="64" cy="60" r="10" fill="none" stroke="#38bdf8" stroke-width="1"/> <text x="57" y="90" font-family="sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">Shared Social Values</text> </g> <g transform="translate(455, 180)"> <rect width="115" height="100" rx="8" fill="#ffffff05" stroke="#e879f9" stroke-width="1"/> <text x="57" y="25" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc" text-anchor="middle">CONFLICT</text> <path d="M40 70 L74 50 M40 50 L74 70" stroke="#e879f9" stroke-width="2"/> <text x="57" y="90" font-family="sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">Power &amp; Control</text> </g> <text x="450" y="320" font-family="sans-serif" font-size="12" fill="#f8fafc" text-anchor="middle" font-weight="bold">How is crime defined?</text> <path d="M340 340 L560 340" stroke="#ffffff20" stroke-width="1"/> <text x="450" y="365" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">Law as a codification of norms</text> <text x="450" y="380" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">vs.</text> <text x="450" y="395" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">Law as a tool of the ruling class</text> <!-- Right Panel: Data Collection --> <rect x="610" y="110" width="260" height="340" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="630" y="145" font-family="sans-serif" font-size="18" font-weight="bold" fill="#f59e0b">THE DATA STACK</text> <!-- Data Stack Graphic --> <g transform="translate(630, 170)"> <rect x="0" y="0" width="220" height="30" rx="4" fill="#38bdf830" stroke="#38bdf8"/> <text x="110" y="20" font-family="sans-serif" font-size="11" fill="#f8fafc" text-anchor="middle" font-weight="bold">UCR / NIBRS (Police Data)</text> <rect x="0" y="40" width="220" height="30" rx="4" fill="#e879f930" stroke="#e879f9"/> <text x="110" y="60" font-family="sans-serif" font-size="11" fill="#f8fafc" text-anchor="middle" font-weight="bold">NCVS (Victim Surveys)</text> <rect x="0" y="80" width="220" height="30" rx="4" fill="#f59e0b30" stroke="#f59e0b"/> <text x="110" y="100" font-family="sans-serif" font-size="11" fill="#f8fafc" text-anchor="middle" font-weight="bold">Self-Report (Offender Data)</text> </g> <!-- The Dark Figure --> <rect x="630" y="300" width="220" height="120" rx="8" fill="#00000040" stroke="#ffffff30" stroke-dasharray="4"/> <text x="740" y="325" font-family="sans-serif" font-size="14" font-weight="bold" fill="#94a3b8" text-anchor="middle">THE DARK FIGURE</text> <text x="740" y="345" font-family="sans-serif" font-size="10" fill="#64748b" text-anchor="middle">Unreported &amp; Hidden Crimes</text> <text x="740" y="380" font-family="serif" font-size="16" fill="#f8fafc" text-anchor="middle" filter="url(#glow)">C_total = C_reported + C_hidden</text> <text x="740" y="405" font-family="sans-serif" font-size="9" fill="#94a3b8" text-anchor="middle">Influenced by fear, stigma, &amp; discretion</text> <!-- Footer Info --> <rect x="30" y="470" width="840" height="60" rx="12" fill="#ffffff05"/> <circle cx="60" cy="500" r="15" fill="url(#accentGrad)" opacity="0.8"/> <text x="60" y="505" font-family="sans-serif" font-size="18" font-weight="bold" fill="#0f172a" text-anchor="middle">!</text> <text x="90" y="495" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">EMPIRICAL ANALYSIS</text> <text x="90" y="512" font-family="sans-serif" font-size="11" fill="#94a3b8">Criminologists use these tools to move beyond "common sense" to scientific evidence-based policy.</text> <!-- Decorative elements --> <path d="M850 50 L880 50 L880 80" fill="none" stroke="#38bdf8" stroke-width="2" opacity="0.5"/> <path d="M50 510 L20 510 L20 480" fill="none" stroke="#e879f9" stroke-width="2" opacity="0.5"/> </svg>Sociological Imagination and Research Methods image 1Sociological Imagination and Research Methods - Criminology and Criminal Justice - image 1https://www.getlykke.com/explore/public/criminology-and-criminal-justice-f6d79bda-1ca6-42f1-9940-643cb1edfe95/media/sociological-imagination-and-research/svg/1Sociological Imagination and Research Methods diagram 1Sociological Imagination and Research Methods - Criminology and Criminal Justice - diagram 1https://www.getlykke.com/explore/public/criminology-and-criminal-justice-f6d79bda-1ca6-42f1-9940-643cb1edfe95/media/sociological-imagination-and-research/svg/2Sociological Imagination and Research Methods diagram 2Sociological Imagination and Research Methods - Criminology and Criminal Justice - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="blueGrad" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#38bdf8" stop-opacity="0.2"/> <stop offset="100%" stop-color="#38bdf8" 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stroke-linecap="round"/> <!-- Left Column: War on Poverty --> <rect x="40" y="110" width="380" height="260" rx="16" fill="url(#blueGrad)" stroke="#38bdf844" stroke-width="1"/> <circle cx="75" cy="145" r="18" fill="#38bdf8"/> <path d="M 68 145 L 82 145 M 75 138 L 75 152" stroke="#0f172a" stroke-width="3" stroke-linecap="round"/> <text x="105" y="150" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">WAR ON POVERTY (1964)</text> <text x="65" y="190" font-family="sans-serif" font-size="13" font-weight="600" fill="#f8fafc">PRIMARY MECHANISM:</text> <text x="210" y="190" font-family="sans-serif" font-size="13" fill="#94a3b8">Social Welfare &amp; Integration</text> <text x="65" y="215" font-family="sans-serif" font-size="13" font-weight="600" fill="#f8fafc">CORE PHILOSOPHY:</text> <text x="210" y="215" font-family="sans-serif" font-size="13" fill="#f59e0b">Strain Theory</text> <text x="65" y="240" font-family="sans-serif" font-size="13" font-weight="600" fill="#f8fafc">KEY LEGISLATION:</text> <text x="65" y="258" font-family="sans-serif" font-size="12" fill="#94a3b8">Economic Opportunity Act (1964)</text> <text x="65" y="285" font-family="sans-serif" font-size="13" font-weight="600" fill="#f8fafc">SYSTEMIC OUTPUTS:</text> <g transform="translate(65, 305)"> <rect width="80" height="22" rx="4" fill="#38bdf822" stroke="#38bdf844"/> <text x="40" y="15" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#38bdf8">Job Corps</text> <rect x="90" width="80" height="22" rx="4" fill="#38bdf822" stroke="#38bdf844"/> <text x="130" y="15" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#38bdf8">Head Start</text> <rect x="180" width="110" height="22" rx="4" fill="#38bdf822" stroke="#38bdf844"/> <text x="235" y="15" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#38bdf8">Community Action</text> </g> <text x="65" y="350" font-family="sans-serif" font-size="11" fill="#94a3b8" font-style="italic">Focus: Addressing root causes of social deviance.</text> <!-- Right Column: War on Drugs --> <rect x="480" y="110" width="380" height="260" rx="16" fill="url(#roseGrad)" stroke="#f43f5e44" stroke-width="1"/> <circle cx="515" cy="145" r="18" fill="#f43f5e"/> <rect x="508" y="138" width="14" height="14" rx="2" fill="none" stroke="#0f172a" stroke-width="2.5"/> <path d="M 515 138 L 515 134 C 515 130 522 130 522 134 L 522 138" fill="none" stroke="#0f172a" stroke-width="2.5"/> <text x="545" y="150" font-family="sans-serif" font-weight="700" font-size="18" fill="#f43f5e">WAR ON DRUGS (1971/82)</text> <text x="505" y="190" font-family="sans-serif" font-size="13" font-weight="600" fill="#f8fafc">PRIMARY MECHANISM:</text> <text x="650" y="190" font-family="sans-serif" font-size="13" fill="#94a3b8">Criminal Justice / Punitive</text> <text x="505" y="215" font-family="sans-serif" font-size="13" font-weight="600" fill="#f8fafc">CORE PHILOSOPHY:</text> <text x="650" y="215" 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text-anchor="middle" font-family="sans-serif" font-size="10" fill="#f43f5e">Carceral State</text> </g> <text x="505" y="350" font-family="sans-serif" font-size="11" fill="#94a3b8" font-style="italic">Focus: Control of subordinate groups (Conflict View).</text> <!-- Central Pivot Arrow --> <path d="M 420 240 L 480 240" stroke="#f59e0b" stroke-width="3" stroke-dasharray="4 4"/> <path d="M 475 235 L 485 240 L 475 245 Z" fill="#f59e0b"/> <text x="450" y="230" text-anchor="middle" font-family="sans-serif" font-size="10" font-weight="bold" fill="#f59e0b">THE PIVOT</text> <!-- Bottom Section: Wedding Cake Model --> <rect x="40" y="390" width="820" height="150" rx="16" fill="#ffffff08" stroke="#ffffff11" stroke-width="1"/> <text x="60" y="420" font-family="sans-serif" font-weight="700" font-size="16" fill="#f8fafc">THE WEDDING CAKE MODEL OF JUSTICE</text> <text x="60" y="438" font-family="sans-serif" font-size="12" fill="#94a3b8">Visualizing the throughput of the War on Drugs</text> <!-- Cake Diagram --> <g transform="translate(450, 410)"> <!-- Layer 1 --> <rect x="-40" y="0" width="80" height="20" rx="2" fill="#f59e0b"/> <text x="50" y="14" font-family="sans-serif" font-size="10" fill="#f8fafc" font-weight="bold">LAYER 1: CELEBRATED CASES</text> <!-- Layer 2 --> <rect x="-80" y="25" width="160" height="20" rx="2" fill="#e879f9" opacity="0.8"/> <text x="90" y="39" font-family="sans-serif" font-size="10" fill="#f8fafc">LAYER 2: SERIOUS FELONIES</text> <!-- Layer 3 --> <rect x="-120" y="50" width="240" height="20" rx="2" fill="#38bdf8" opacity="0.6"/> <text x="130" y="64" font-family="sans-serif" font-size="10" fill="#f8fafc">LAYER 3: LESSER FELONIES</text> <!-- Layer 4 --> <rect x="-160" y="75" width="320" height="20" rx="2" fill="#94a3b8" opacity="0.4"/> <text x="170" y="89" font-family="sans-serif" font-size="10" fill="#f8fafc">LAYER 4: MISDEMEANORS (Mass Arrests)</text> <path d="M -180 105 L 180 105" stroke="#ffffff22" stroke-width="1"/> <text x="0" y="120" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#94a3b8">The "Assembly Line" effect: High-volume processing of Mala Prohibita offenses.</text> </g> <!-- Decorative Accents --> <circle cx="860" cy="40" r="30" fill="none" stroke="#38bdf8" stroke-width="0.5" opacity="0.3"/> <circle cx="860" cy="40" r="20" fill="none" stroke="#f43f5e" stroke-width="0.5" opacity="0.3"/> <rect x="20" y="20" width="10" height="10" fill="#f59e0b" opacity="0.5"/> </svg>Systemic Wars: Drugs and Poverty image 1Systemic Wars: Drugs and Poverty - Criminology and Criminal Justice - image 1https://www.getlykke.com/explore/public/criminology-and-criminal-justice-f6d79bda-1ca6-42f1-9940-643cb1edfe95/media/systemic-wars-drugs-and-poverty/svg/1Systemic Wars: Drugs and Poverty diagram 1Systemic Wars: Drugs and Poverty - Criminology and Criminal Justice - diagram 1https://www.getlykke.com/explore/public/criminology-and-criminal-justice-f6d79bda-1ca6-42f1-9940-643cb1edfe95/media/systemic-wars-drugs-and-poverty/svg/2Systemic Wars: Drugs and Poverty diagram 2Systemic Wars: Drugs and Poverty - Criminology and Criminal Justice - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">THE MIGRATION OF CARE</text> <text x="450" y="75" text-anchor="middle" font-family="sans-serif" font-weight="400" font-size="16" fill="#38bdf8" letter-spacing="2">MENTAL HEALTH IN THE JUSTICE SYSTEM</text> <line x1="350" y1="85" x2="550" y2="85" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 2"/> <!-- Left Column: The Great Decline --> <rect x="30" y="110" width="260" height="420" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="50" y="145" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">DEINSTITUTIONALIZATION</text> <text x="50" y="165" font-family="sans-serif" font-size="12" fill="#94a3b8">The 93% reduction in psychiatric beds</text> <!-- Stats Visual --> <circle cx="160" cy="260" r="70" fill="none" stroke="#ffffff10" stroke-width="8"/> <path d="M 160 190 A 70 70 0 0 1 228 275" fill="none" stroke="#e879f9" stroke-width="8" stroke-linecap="round"/> <text x="160" y="255" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="28" fill="#f8fafc">1955</text> <text x="160" y="275" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8">558,000 Beds</text> <rect x="50" y="360" width="220" height="40" rx="8" fill="#e879f920"/> <text x="160" y="385" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">TODAY: &lt; 38,000 BEDS</text> <text x="50" y="430" font-family="sans-serif" font-size="12" fill="#94a3b8"> <tspan x="50" dy="1.4em">• Pharmacological Advancements</tspan> <tspan x="50" dy="1.4em">• Legal Shifts (O'Connor v. Donaldson)</tspan> <tspan x="50" dy="1.4em">• Fiscal Policy (Medicaid/Medicare)</tspan> </text> <!-- Middle Column: Transinstitutionalization --> <rect x="310" y="110" width="280" height="420" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="330" y="145" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">THE REVOLVING DOOR</text> <text x="330" y="165" font-family="sans-serif" font-size="12" fill="#94a3b8">Criminalization of Mental Illness</text> <!-- Flow Diagram --> <g transform="translate(450, 300)"> <circle r="80" fill="none" stroke="#f59e0b30" stroke-width="2" stroke-dasharray="5 5"/> <path d="M 0 -80 A 80 80 0 0 1 80 0" fill="none" stroke="#f59e0b" stroke-width="3" marker-end="url(#arrow)"/> <circle cx="0" cy="-80" r="25" fill="#1e1b4b" stroke="#f59e0b" stroke-width="2"/> <text y="-76" text-anchor="middle" font-family="sans-serif" font-size="9" font-weight="bold" fill="#f8fafc">LACK OF</text> <text y="-66" text-anchor="middle" font-family="sans-serif" font-size="9" font-weight="bold" fill="#f8fafc">CARE</text> <circle cx="80" cy="0" r="25" fill="#1e1b4b" stroke="#f59e0b" stroke-width="2"/> <text x="80" y="4" text-anchor="middle" font-family="sans-serif" font-size="9" font-weight="bold" fill="#f8fafc">ARREST</text> <circle cx="0" cy="80" r="25" fill="#1e1b4b" stroke="#f59e0b" stroke-width="2"/> <text y="84" text-anchor="middle" font-family="sans-serif" font-size="9" font-weight="bold" fill="#f8fafc">JAIL</text> <circle cx="-80" cy="0" r="25" fill="#1e1b4b" stroke="#f59e0b" stroke-width="2"/> <text x="-80" y="4" text-anchor="middle" font-family="sans-serif" font-size="9" font-weight="bold" fill="#f8fafc">RELEASE</text> </g> <text x="450" y="430" text-anchor="middle" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">"THE NEW ASYLUMS"</text> <text x="335" y="455" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="start"> <tspan x="335" dy="1.2em">Jails are now the primary providers of</tspan> <tspan x="335" dy="1.2em">psychiatric intervention in the U.S.</tspan> <tspan x="335" dy="1.2em">Managing ~2M inmates with SMI.</tspan> </text> <!-- Right Column: Legal Standards --> <rect x="610" y="110" width="260" height="420" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="630" y="145" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">DUSKY STANDARD</text> <text x="630" y="165" font-family="sans-serif" font-size="12" fill="#94a3b8">Competency to Stand Trial (CST)</text> <!-- Icon: Scales --> <g transform="translate(740, 240)"> <line x1="-40" y1="0" x2="40" y2="0" stroke="#38bdf8" stroke-width="3"/> <line x1="0" y1="0" x2="0" y2="50" stroke="#38bdf8" stroke-width="3"/> <path d="M -40 0 L -55 30 L -25 30 Z" fill="#38bdf830" stroke="#38bdf8" stroke-width="1"/> <path d="M 40 0 L 55 30 L 25 30 Z" fill="#38bdf830" stroke="#38bdf8" stroke-width="1"/> </g> <rect x="630" y="310" width="220" height="190" rx="8" fill="#38bdf810"/> <text x="640" y="335" font-family="sans-serif" font-weight="bold" font-size="13" fill="#38bdf8">1. FACTUAL UNDERSTANDING</text> <text x="640" y="355" font-family="sans-serif" font-size="11" fill="#f8fafc"> <tspan x="640" dy="1.2em">Knowledge of charges, roles of</tspan> <tspan x="640" dy="1.2em">the judge, jury, and prosecutor.</tspan> </text> <text x="640" y="415" font-family="sans-serif" font-weight="bold" font-size="13" fill="#38bdf8">2. RATIONAL UNDERSTANDING</text> <text x="640" y="435" font-family="sans-serif" font-size="11" fill="#f8fafc"> <tspan x="640" dy="1.2em">Ability to consult with counsel</tspan> <tspan x="640" dy="1.2em">and assist in own defense without</tspan> <tspan x="640" dy="1.2em">delusional interference.</tspan> </text> <!-- Footer Info --> <rect x="30" y="540" width="840" height="1" fill="#ffffff20"/> <text x="30" y="555" font-family="sans-serif" font-size="10" fill="#94a3b8">Source: Wiki Educational Series | Mental Health &amp; Jurisprudence</text> <text x="870" y="555" text-anchor="end" font-family="sans-serif" font-size="10" fill="#94a3b8">Dusky v. United States (1960)</text> <!-- Decorative Accents --> <circle cx="30" cy="30" r="4" fill="#f59e0b"/> <circle cx="870" cy="30" r="4" fill="#e879f9"/> <circle cx="30" cy="530" r="4" fill="#38bdf8"/> <circle cx="870" cy="530" r="4" fill="#f59e0b"/> </svg>Mental Health in the Justice System image 1Mental Health in the Justice System - Criminology and Criminal Justice - image 1https://www.getlykke.com/explore/public/criminology-and-criminal-justice-f6d79bda-1ca6-42f1-9940-643cb1edfe95/media/mental-health-in-the-justice-system/svg/1Mental Health in the Justice System diagram 1Mental Health in the Justice System - Criminology and Criminal Justice - diagram 1https://www.getlykke.com/explore/public/criminology-and-criminal-justice-f6d79bda-1ca6-42f1-9940-643cb1edfe95/media/mental-health-in-the-justice-system/svg/2Mental Health in the Justice System diagram 2Mental Health in the Justice System - Criminology and Criminal Justice - diagram 2https://www.getlykke.com/explore/public/overview-of-social-science-and-professional-76e90f78-265a-4c20-a32c-7a65e795fc572026-04-20T05:06:42.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#f59e0b"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="3" result="blur"/> <feComposite in="SourceGraphic" in2="blur" operator="over"/> </filter> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10"/> </pattern> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Decorative Header Line --> <rect x="50" y="80" width="800" height="1" fill="url(#accentGrad)" opacity="0.5"/> <!-- Title Section --> <text x="50" y="55" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">LIBRETEXTS BOOKSHELVES</text> <text x="850" y="55" font-family="sans-serif" font-weight="400" font-size="14" fill="#38bdf8" text-anchor="end">ARCHITECTURE OF THE COMMONS</text> <!-- Left Column: The Three Tiers --> <g transform="translate(50, 110)"> <!-- Tier 1 --> <rect width="360" height="120" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <circle cx="40" cy="40" r="18" fill="#f59e0b20" stroke="#f59e0b" stroke-width="2"/> <path d="M34 40 L46 40 M40 34 L40 46" stroke="#f59e0b" stroke-width="2" stroke-linecap="round"/> <text x="75" y="38" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">1. CENTRAL BOOKSHELVES</text> <text x="75" y="58" font-family="sans-serif" font-size="12" fill="#94a3b8">The "Gold Standard" Global Repository</text> <text x="25" y="85" font-family="sans-serif" font-size="11" fill="#f8fafc" opacity="0.8"> <tspan x="75" dy="0">• Peer-reviewed &amp; Curated</tspan> <tspan x="75" dy="16">• Disciplinary Organization</tspan> <tspan x="75" dy="16">• Maintained by Core Team</tspan> </text> <!-- Tier 2 --> <rect y="140" width="360" height="120" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <circle cx="40" cy="180" r="18" fill="#e879f920" stroke="#e879f9" stroke-width="2"/> <rect x="34" y="174" width="12" height="12" fill="none" stroke="#e879f9" stroke-width="2"/> <text x="75" y="178" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">2. CAMPUS BOOKSHELVES</text> <text x="75" y="198" font-family="sans-serif" font-size="12" fill="#94a3b8">Institutional Identity Layer</text> <text x="25" y="225" font-family="sans-serif" font-size="11" fill="#f8fafc" opacity="0.8"> <tspan x="75" dy="0">• Localized Sub-libraries</tspan> <tspan x="75" dy="16">• Institutional Branding</tspan> <tspan x="75" dy="16">• Faculty-led Curation</tspan> </text> <!-- Tier 3 --> <rect y="280" width="360" height="120" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <circle cx="40" cy="320" r="18" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <path d="M34 324 L40 316 L46 324" fill="none" stroke="#38bdf8" stroke-width="2"/> <text x="75" y="318" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">3. COURSE SHELLS</text> <text x="75" y="338" font-family="sans-serif" font-size="12" fill="#94a3b8">Classroom Delivery Implementation</text> <text x="25" y="365" font-family="sans-serif" font-size="11" fill="#f8fafc" opacity="0.8"> <tspan x="75" dy="0">• Syllabus-specific Remixes</tspan> <tspan x="75" dy="16">• High Customization</tspan> <tspan x="75" dy="16">• Student-facing Interface</tspan> </text> </g> <!-- Right Column: Content Remixing & Transclusion --> <g transform="translate(450, 110)"> <rect width="400" height="400" rx="24" fill="#ffffff05" stroke="#ffffff10"/> <text x="200" y="40" font-family="sans-serif" font-weight="700" font-size="20" fill="#f8fafc" text-anchor="middle">THE REMIX ENGINE</text> <!-- Transclusion Visual --> <g transform="translate(40, 80)"> <!-- Source Node --> <rect width="100" height="40" rx="8" fill="#f59e0b20" stroke="#f59e0b"/> <text x="50" y="25" font-family="sans-serif" font-size="10" fill="#f59e0b" text-anchor="middle" font-weight="bold">SOURCE NODE</text> <!-- Connection Line --> <path d="M100 20 L220 180" stroke="#94a3b8" stroke-width="2" stroke-dasharray="4 4"/> <circle cx="160" cy="100" r="12" fill="#1e1b4b" stroke="#38bdf8" filter="url(#glow)"/> <text x="160" y="104" font-family="sans-serif" font-size="8" fill="#38bdf8" text-anchor="middle" font-weight="bold">LIVE</text> <!-- Remix Node --> <rect x="220" y="160" width="100" height="40" rx="8" fill="#38bdf820" stroke="#38bdf8"/> <text x="270" y="185" font-family="sans-serif" font-size="10" fill="#38bdf8" text-anchor="middle" font-weight="bold">REMIX NODE</text> </g> <!-- Definition Box --> <rect x="30" y="280" width="340" height="90" rx="12" fill="#00000040"/> <text x="50" y="305" font-family="sans-serif" font-weight="700" font-size="14" fill="#e879f9">TRANSCLUSION</text> <text x="50" y="325" font-family="sans-serif" font-size="12" fill="#f8fafc" opacity="0.9"> <tspan x="50" dy="0">Content is not "copied," but "linked."</tspan> <tspan x="50" dy="18">Updates to the Central Bookshelf flow</tspan> <tspan x="50" dy="18">automatically to all downstream Remixes.</tspan> </text> </g> <!-- Footer Info --> <g transform="translate(50, 530)"> <text font-family="sans-serif" font-size="10" fill="#94a3b8">LIBRETEXTS ECOSYSTEM • OPEN-ACCESS ARCHITECTURE • CC-BY-NC-SA</text> <rect x="750" y="-15" width="100" height="20" rx="10" fill="url(#accentGrad)"/> <text x="800" y="-1" font-family="sans-serif" font-weight="bold" font-size="10" fill="#1e1b4b" text-anchor="middle">LIVING LIBRARY</text> </g> </svg>Introduction to LibreTexts Bookshelves image 1Introduction to LibreTexts Bookshelves - Overview of Social Science and Professional Disciplines - image 1https://www.getlykke.com/explore/public/overview-of-social-science-and-professional-76e90f78-265a-4c20-a32c-7a65e795fc57/media/introduction-to-libretexts-bookshelves/svg/1Introduction to LibreTexts Bookshelves diagram 1Introduction to LibreTexts Bookshelves - Overview of Social Science and Professional Disciplines - diagram 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width="300">Tracking allele frequencies to observe</text> <text x="70" y="242" fill="#94a3b8" font-family="sans-serif" font-size="11">evolutionary forces in real-time.</text> <path d="M 280 240 L 300 220 L 320 235 L 340 210 L 360 225" fill="none" stroke="#38bdf8" stroke-width="2"/> <!-- Card 2: Cultural (Top Right) --> <rect x="490" y="115" width="370" height="165" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <circle cx="525" cy="145" r="15" fill="#e879f920" stroke="#e879f9" stroke-width="1.5"/> <circle cx="520" cy="145" r="6" fill="none" stroke="#e879f9" stroke-width="1"/> <circle cx="530" cy="145" r="6" fill="none" stroke="#e879f9" stroke-width="1"/> <text x="550" y="150" fill="#f8fafc" font-family="sans-serif" font-weight="bold" font-size="18">Cultural</text> <text x="520" y="185" fill="#94a3b8" font-family="sans-serif" font-size="12" font-style="italic">Social Systems &amp; Ethnography</text> <text x="520" y="210" fill="#f8fafc" font-family="sans-serif" font-size="13">Concept: 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font-size="16">The Architecture of Human Interaction &amp; Social Reality</text> <line x1="40" y1="135" x2="860" y2="135" stroke="url(#accentGrad)" stroke-width="2" stroke-opacity="0.5"/> <!-- Section 1: The Three Models (Comparison) --> <rect x="40" y="155" width="260" height="160" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="185" fill="#38bdf8" font-family="sans-serif" font-weight="bold" font-size="14">LINEAR MODEL</text> <text x="60" y="205" fill="#f8fafc" font-family="sans-serif" font-size="12">Transmission: S → R</text> <circle cx="80" cy="245" r="15" fill="none" stroke="#38bdf8" stroke-width="2"/> <line x1="100" y1="245" x2="200" y2="245" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 2"/> <polygon points="200,240 210,245 200,250" fill="#38bdf8"/> <circle cx="230" cy="245" r="15" fill="none" stroke="#94a3b8" stroke-width="2"/> <text x="60" y="285" fill="#94a3b8" font-family="sans-serif" font-size="11">One-way pipeline. 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Overview of Social Science and Professional Disciplines - image 1<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="40" y="60" font-family="Arial, sans-serif" font-weight="800" font-size="32" fill="#f8fafc">COMMUNICATION STUDIES</text> <text x="40" y="85" font-family="Arial, sans-serif" font-size="14" font-weight="600" fill="#38bdf8" letter-spacing="2">THE ARCHITECTURE OF HUMAN INTERACTION</text> <line x1="40" y1="105" x2="300" y2="105" stroke="#38bdf8" stroke-width="2" opacity="0.5"/> <!-- Left Panel: Proxemics (The Spatial Protocol) --> <rect x="40" y="130" width="380" height="390" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="160" font-family="Arial, sans-serif" font-size="18" font-weight="700" fill="#f59e0b">PROXEMICS: THE SPATIAL ZONES</text> <text x="60" y="180" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">Edward T. Hall’s Distance Framework</text> <!-- Concentric Circles for Proxemics --> <g transform="translate(230, 360)"> <circle r="140" fill="none" stroke="#38bdf8" stroke-width="1" stroke-dasharray="4 4" opacity="0.2"/> <circle r="100" fill="none" stroke="#38bdf8" stroke-width="1" stroke-dasharray="4 4" opacity="0.4"/> <circle r="60" fill="none" stroke="#38bdf8" stroke-width="1" stroke-dasharray="4 4" opacity="0.6"/> <circle r="25" fill="#e879f9" opacity="0.8" filter="url(#glow)"/> <!-- Labels for Zones --> <text y="-145" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">PUBLIC (12ft+)</text> <text y="-105" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">SOCIAL (4-12ft)</text> <text y="-65" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">PERSONAL (1.5-4ft)</text> <text y="5" font-family="Arial, sans-serif" font-size="10" font-weight="bold" fill="#ffffff" text-anchor="middle">INTIMATE</text> </g> <!-- Right Panel Top: The Models --> <rect x="440" y="130" width="420" height="220" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="460" y="160" font-family="Arial, sans-serif" font-size="18" font-weight="700" fill="#38bdf8">EVOLUTION OF MODELS</text> <!-- Linear Model --> <g transform="translate(460, 185)"> <rect width="110" height="50" rx="8" fill="#ffffff10"/> <text x="55" y="22" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#f8fafc" text-anchor="middle">LINEAR</text> <text x="55" y="38" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">Transmission</text> <path d="M 115 25 L 135 25" stroke="#38bdf8" stroke-width="2" marker-end="url(#arrow)"/> </g> <!-- Interactional Model --> <g transform="translate(460, 245)"> <rect width="110" height="50" rx="8" fill="#ffffff10"/> <text x="55" y="22" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#f8fafc" text-anchor="middle">INTERACTIONAL</text> <text x="55" y="38" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">Exchange</text> <path d="M 115 20 L 135 20 M 135 30 L 115 30" stroke="#e879f9" stroke-width="2"/> </g> <!-- Transactional Model --> <g transform="translate(460, 305)"> <rect width="110" height="30" rx="8" fill="#f59e0b" opacity="0.2"/> <text x="55" y="20" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#f59e0b" text-anchor="middle">TRANSACTIONAL</text> <text x="130" y="20" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Simultaneous Co-creation of Meaning</text> </g> <!-- Right Panel Bottom: The Nonverbal Substrate --> <rect x="440" y="370" width="420" height="150" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="460" y="400" font-family="Arial, sans-serif" font-size="18" font-weight="700" fill="#e879f9">THE NONVERBAL SUBSTRATE</text> <!-- Data Points --> <g transform="translate(460, 420)"> <circle cx="15" cy="15" r="5" fill="#e879f9"/> <text x="30" y="18" font-family="Arial, sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Kinesics</text> <text x="120" y="18" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">Body movement &amp; facial expressions.</text> <circle cx="15" cy="45" r="5" fill="#38bdf8"/> <text x="30" y="48" font-family="Arial, sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Haptics</text> <text x="120" y="48" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">The communicative function of touch.</text> <circle cx="15" cy="75" r="5" fill="#f59e0b"/> <text x="30" y="78" font-family="Arial, sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Chronemics</text> <text x="120" y="78" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">The use of time in social interaction.</text> </g> <!-- Bottom Accent / Quote --> <path d="M 40 540 L 860 540" stroke="#ffffff10" stroke-width="1"/> <text x="450" y="550" font-family="Arial, sans-serif" font-style="italic" font-size="11" fill="#64748b" text-anchor="middle">"One cannot not communicate." — Paul Watzlawick</text> <!-- Arrow Marker --> <defs> <marker id="arrow" markerWidth="10" markerHeight="10" refX="0" refY="3" orient="auto" markerUnits="strokeWidth"> <path d="M0,0 L0,6 L9,3 z" fill="#38bdf8" /> </marker> </defs> </svg>Communication Studies image 2Communication Studies - Overview of Social Science and Professional Disciplines - image 2https://www.getlykke.com/explore/public/overview-of-social-science-and-professional-76e90f78-265a-4c20-a32c-7a65e795fc57/media/communication-studies/svg/1Communication Studies diagram 1Communication Studies - Overview of Social Science and Professional Disciplines - diagram 1https://www.getlykke.com/explore/public/overview-of-social-science-and-professional-76e90f78-265a-4c20-a32c-7a65e795fc57/media/communication-studies/svg/2Communication Studies diagram 2Communication Studies - Overview of Social Science and Professional Disciplines - diagram 2https://www.getlykke.com/explore/public/overview-of-social-science-and-professional-76e90f78-265a-4c20-a32c-7a65e795fc57/media/communication-studies/svg/3Communication Studies diagram 3Communication Studies - Overview of Social Science and Professional Disciplines - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">COUNSELING &amp; 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Professional Disciplines - image 1https://www.getlykke.com/explore/public/overview-of-social-science-and-professional-76e90f78-265a-4c20-a32c-7a65e795fc57/media/criminology-and-criminal-justice/svg/1Criminology and Criminal Justice diagram 1Criminology and Criminal Justice - Overview of Social Science and Professional Disciplines - diagram 1https://www.getlykke.com/explore/public/overview-of-social-science-and-professional-76e90f78-265a-4c20-a32c-7a65e795fc57/media/criminology-and-criminal-justice/svg/2Criminology and Criminal Justice diagram 2Criminology and Criminal Justice - Overview of Social Science and Professional Disciplines - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <!-- Background and Definitions --> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="30" height="30" patternUnits="userSpaceOnUse"> <path d="M 30 0 L 0 0 0 30" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Base Layers --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="40" y="50" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">DISABILITY STUDIES</text> <text x="40" y="75" font-family="sans-serif" font-weight="400" font-size="16" fill="#38bdf8" letter-spacing="1">FRAMEWORKS, POWER DYNAMICS, &amp; SYSTEMS CHANGE</text> <line x1="40" y1="90" x2="860" y2="90" stroke="#334155" stroke-width="1"/> <!-- Main Comparison: Medical vs Social --> <rect x="40" y="110" width="400" height="200" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="60" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#f43f5e">The Medical Model</text> <text x="60" y="165" font-family="sans-serif" font-size="13" fill="#94a3b8">Locus: The Individual</text> <circle cx="70" cy="200" r="15" fill="none" stroke="#f43f5e" stroke-width="2"/> <path d="M 65 200 L 75 200 M 70 195 L 70 205" stroke="#f43f5e" stroke-width="2"/> <text x="100" y="195" font-family="sans-serif" font-size="12" fill="#f8fafc">Deficit-based approach</text> <text x="100" y="212" font-family="sans-serif" font-size="12" fill="#f8fafc">Goal: Cure, Fix, or Rehabilitate</text> <text x="60" y="250" font-family="sans-serif" font-size="12" fill="#94a3b8" font-style="italic">"The person is broken and needs to be made 'normal' to participate."</text> <rect x="460" y="110" width="400" height="200" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="480" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">The Social Model</text> <text x="480" y="165" font-family="sans-serif" font-size="13" fill="#94a3b8">Locus: The Environment</text> <rect x="485" y="185" width="20" height="20" rx="4" fill="none" stroke="#38bdf8" stroke-width="2"/> <path d="M 490 195 L 500 195" stroke="#38bdf8" stroke-width="2"/> <text x="520" y="195" font-family="sans-serif" font-size="12" fill="#f8fafc">Barrier-based approach</text> <text x="520" y="212" font-family="sans-serif" font-size="12" fill="#f8fafc">Goal: Systems Change &amp; Universal Design</text> <text x="480" y="250" font-family="sans-serif" font-size="12" fill="#94a3b8" font-style="italic">"The environment is broken and needs to be redesigned for diversity."</text> <!-- The Mathematical Insight --> <rect x="40" y="325" width="820" height="80" rx="16" fill="#f59e0b10" stroke="#f59e0b30"/> <text x="60" y="355" font-family="serif" font-size="24" fill="#f59e0b" filter="url(#glow)">D(S) = Σ Bᵢ · Iᵢ</text> <text x="240" y="353" font-family="sans-serif" font-size="13" fill="#f8fafc" font-weight="600">The Social Model Formula</text> <text x="240" y="372" font-family="sans-serif" font-size="12" fill="#94a3b8">Disability (D) is the sum of environmental Barriers (B) acting upon functional Impairments (I).</text> <text x="240" y="388" font-family="sans-serif" font-size="12" fill="#38bdf8" font-weight="bold">If B → 0 (Universal Design), then D → 0.</text> <!-- Critical Theory & Intersectionality --> <rect x="40" y="420" width="400" height="110" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="60" y="445" font-family="sans-serif" font-weight="700" font-size="16" fill="#e879f9">Critical Disability Theory</text> <circle cx="75" cy="485" r="25" fill="#e879f920" stroke="#e879f9" stroke-width="1"/> <circle cx="95" cy="485" r="25" fill="#38bdf820" stroke="#38bdf8" stroke-width="1"/> <text x="135" y="475" font-family="sans-serif" font-size="12" fill="#f8fafc" font-weight="bold">Intersectionality</text> <text x="135" y="492" font-family="sans-serif" font-size="11" fill="#94a3b8">Disability × Race × Class × Gender</text> <text x="135" y="505" font-family="sans-serif" font-size="11" fill="#94a3b8">Power dynamics define "Normalcy"</text> <!-- Technical Implementation: Accessibility Tree --> <rect x="460" y="420" width="400" height="110" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="480" y="445" font-family="sans-serif" font-weight="700" font-size="16" fill="#10b981">The Accessibility Tree</text> <!-- Tree Diagram --> <rect x="485" y="465" width="40" height="12" rx="2" fill="#10b98140" stroke="#10b981"/> <line x1="505" y1="477" x2="505" y2="490" stroke="#10b981" stroke-width="1"/> <line x1="505" y1="490" x2="490" y2="490" stroke="#10b981" stroke-width="1"/> <line x1="505" y1="490" x2="520" y2="490" stroke="#10b981" stroke-width="1"/> <rect x="480" y="490" width="20" height="8" rx="1" fill="#10b98140"/> <rect x="510" y="490" width="20" height="8" rx="1" fill="#10b98140"/> <text x="545" y="472" font-family="monospace" font-size="11" fill="#10b981">ROLE_BUTTON</text> <text x="545" y="488" font-family="monospace" font-size="11" fill="#94a3b8">aria-label: "Submit"</text> <text x="545" y="504" font-family="monospace" font-size="11" fill="#94a3b8">focusable: true</text> <text x="480" y="520" font-family="sans-serif" font-size="10" fill="#64748b">Semantic bridge between DOM and Assistive Tech</text> <!-- Decorative Accents --> <circle cx="850" cy="50" r="20" fill="#f59e0b20"/> <circle cx="850" cy="50" r="10" fill="#f59e0b40"/> <path d="M 820 40 L 880 40" stroke="#334155" stroke-width="1" stroke-dasharray="4 2"/> </svg>Disability Studies image 1Disability Studies - Overview of Social Science and Professional Disciplines - image 1https://www.getlykke.com/explore/public/overview-of-social-science-and-professional-76e90f78-265a-4c20-a32c-7a65e795fc57/media/disability-studies/svg/1Disability Studies diagram 1Disability Studies - Overview of Social Science and Professional Disciplines - diagram 1https://www.getlykke.com/explore/public/overview-of-social-science-and-professional-76e90f78-265a-4c20-a32c-7a65e795fc57/media/disability-studies/svg/2Disability Studies diagram 2Disability Studies - Overview of Social Science and Professional Disciplines - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10" /> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Header Section --> <text x="40" y="60" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">EARLY CHILDHOOD EDUCATION</text> <text x="40" y="85" font-family="sans-serif" font-weight="400" font-size="16" fill="#94a3b8" letter-spacing="1">THE ARCHITECTURE OF HUMAN POTENTIAL (BIRTH TO AGE 8)</text> <!-- Neuroplasticity Highlight --> <rect x="580" y="35" width="280" height="60" rx="12" fill="#38bdf820" stroke="#38bdf8" stroke-width="1"/> <text x="595" y="58" font-family="sans-serif" font-weight="700" font-size="14" fill="#38bdf8">NEUROPLASTICITY WINDOW</text> <text x="595" y="78" font-family="sans-serif" font-size="18" fill="#f8fafc">1M+ <tspan font-size="12" fill="#94a3b8">neural connections / sec</tspan></text> <!-- Section 1: The Four Domains --> <text x="40" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">I. HOLISTIC DEVELOPMENT DOMAINS</text> <!-- Domain Cards --> <g transform="translate(40, 160)"> <!-- Cognitive --> <rect width="200" height="110" rx="16" fill="#ffffff10" /> <circle cx="30" cy="30" r="12" fill="#38bdf8" /> <path d="M25 30 L35 30 M30 25 L30 35" stroke="white" stroke-width="2"/> <text x="50" y="35" font-family="sans-serif" font-weight="700" font-size="15" fill="#f8fafc">Cognitive</text> <text x="15" y="65" font-family="sans-serif" font-size="12" fill="#94a3b8">Executive Function</text> <text x="15" y="82" font-family="sans-serif" font-size="12" fill="#94a3b8">Symbolic Thought</text> <text x="15" y="98" font-family="sans-serif" font-weight="600" font-size="11" fill="#38bdf8">ANCHOR: PIAGET</text> <!-- Social --> <g transform="translate(220, 0)"> <rect width="200" height="110" rx="16" fill="#ffffff10" /> <circle cx="30" cy="30" r="12" fill="#4ade80" /> <circle cx="27" cy="30" r="4" fill="white" /> <circle cx="33" cy="30" r="4" fill="white" /> <text x="50" y="35" font-family="sans-serif" font-weight="700" font-size="15" fill="#f8fafc">Social</text> <text x="15" y="65" font-family="sans-serif" font-size="12" fill="#94a3b8">Theory of Mind</text> <text x="15" y="82" font-family="sans-serif" font-size="12" fill="#94a3b8">Conflict Resolution</text> <text x="15" y="98" font-family="sans-serif" font-weight="600" font-size="11" fill="#4ade80">ANCHOR: VYGOTSKY</text> </g> <!-- Emotional --> <g transform="translate(0, 130)"> <rect width="200" height="110" rx="16" fill="#ffffff10" /> <circle cx="30" cy="30" r="12" fill="#e879f9" /> <path d="M25 30 Q30 38 35 30" stroke="white" fill="none" stroke-width="2"/> <text x="50" y="35" font-family="sans-serif" font-weight="700" font-size="15" fill="#f8fafc">Emotional</text> <text x="15" y="65" font-family="sans-serif" font-size="12" fill="#94a3b8">Self-Regulation</text> <text x="15" y="82" font-family="sans-serif" font-size="12" fill="#94a3b8">Empathy Literacy</text> <text x="15" y="98" font-family="sans-serif" font-weight="600" font-size="11" fill="#e879f9">ANCHOR: ERIKSON</text> </g> <!-- Physical --> <g transform="translate(220, 130)"> <rect width="200" height="110" rx="16" fill="#ffffff10" /> <circle cx="30" cy="30" r="12" fill="#fb923c" /> <rect x="25" y="25" width="10" height="10" fill="white" rx="2"/> <text x="50" y="35" font-family="sans-serif" font-weight="700" font-size="15" fill="#f8fafc">Physical</text> <text x="15" y="65" font-family="sans-serif" font-size="12" fill="#94a3b8">Proprioception</text> <text x="15" y="82" font-family="sans-serif" font-size="12" fill="#94a3b8">Fine Motor Skills</text> <text x="15" y="98" font-family="sans-serif" font-weight="600" font-size="11" fill="#fb923c">ANCHOR: GESELL</text> </g> </g> <!-- Section 2: Scaffolding Algorithm --> <g transform="translate(500, 140)"> <text x="0" y="0" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">II. THE SCAFFOLDING LOGIC</text> <rect y="20" width="360" height="250" rx="16" fill="#ffffff08" stroke="#ffffff10" /> <!-- ZPD Diagram --> <circle cx="180" cy="145" r="85" fill="none" stroke="#94a3b8" stroke-dasharray="4 4" /> <circle cx="180" cy="145" r="55" fill="#38bdf830" stroke="#38bdf8" stroke-width="2" /> <circle cx="180" cy="145" r="25" fill="#ffffff20" stroke="#f8fafc" /> <text x="180" y="148" font-family="sans-serif" font-size="10" fill="#f8fafc" text-anchor="middle">KNOWN</text> <text x="180" y="105" font-family="sans-serif" font-weight="700" font-size="12" fill="#38bdf8" text-anchor="middle">ZPD (GROWTH)</text> <text x="180" y="50" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">FRUSTRATION ZONE</text> <!-- Code Snippet Visual --> <rect x="20" y="210" width="320" height="45" rx="8" fill="#00000040" /> <text x="35" y="230" font-family="monospace" font-size="10" fill="#4ade80">if task &lt;= child.skill: return "Boredom"</text> <text x="35" y="245" font-family="monospace" font-size="10" fill="#e879f9">elif task in ZPD: provide_scaffold()</text> </g> <!-- Section 3: Play Continuum --> <g transform="translate(40, 430)"> <text x="0" y="0" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">III. THE PLAY-LEARNING CONTINUUM</text> <line x1="0" y1="50" x2="820" y2="50" stroke="#94a3b8" stroke-width="2" /> <!-- Points on Continuum --> <g transform="translate(0, 50)"> <circle r="6" fill="#f8fafc" /> <text y="25" font-family="sans-serif" font-weight="700" font-size="13" fill="#f8fafc">Unstructured</text> <text y="42" font-family="sans-serif" font-size="11" fill="#94a3b8">Child-led, spontaneous</text> </g> <g transform="translate(273, 50)"> <circle r="6" fill="#38bdf8" /> <text y="25" font-family="sans-serif" font-weight="700" font-size="13" fill="#38bdf8" text-anchor="middle">Guided Play</text> <text y="42" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">Adult-scaffolded environment</text> </g> <g transform="translate(546, 50)"> <circle r="6" fill="#e879f9" /> <text y="25" font-family="sans-serif" font-weight="700" font-size="13" fill="#e879f9" text-anchor="middle">Co-operative</text> <text y="42" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">Group goals &amp; mediation</text> </g> <g transform="translate(820, 50)"> <circle r="6" fill="#94a3b8" /> <text y="25" font-family="sans-serif" font-weight="700" font-size="13" fill="#f8fafc" text-anchor="end">Direct Instruction</text> <text y="42" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="end">Adult-led, structured</text> </g> </g> <!-- Footer Decoration --> <path d="M0 560 L900 560 L900 555 Q450 545 0 555 Z" fill="#38bdf830" /> </svg>Early Childhood Education image 1Early Childhood Education - Overview of Social Science and Professional Disciplines - image 1https://www.getlykke.com/explore/public/overview-of-social-science-and-professional-76e90f78-265a-4c20-a32c-7a65e795fc57/media/early-childhood-education/svg/1Early Childhood Education diagram 1Early Childhood Education - Overview of Social Science and Professional Disciplines - diagram 1<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" 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font-family="sans-serif" font-size="14" font-weight="400" letter-spacing="1">THE STUDY OF SCARCITY, CHOICE, AND ALLOCATION</text> <rect x="350" y="95" width="200" height="2" fill="url(#accentGrad)"/> <!-- Central Concept: Scarcity --> <rect x="330" y="120" width="240" height="60" rx="12" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1"/> <text x="450" y="145" text-anchor="middle" fill="#f59e0b" font-family="sans-serif" font-weight="bold" font-size="18">CORE: SCARCITY</text> <text x="450" y="165" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="11">Unlimited Wants vs. Limited Resources</text> <!-- Left Column: Microeconomics --> <rect x="40" y="200" width="400" height="260" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <circle cx="75" cy="235" r="18" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <path d="M68 242l5-7 4 4 6-9" fill="none" stroke="#38bdf8" stroke-width="2"/> <text x="105" y="240" fill="#38bdf8" font-family="sans-serif" font-weight="bold" 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Perspective</text> <!-- Business Cycle Mini Chart --> <g transform="translate(490, 290)"> <path d="M0 0v80h80" fill="none" stroke="#94a3b8" stroke-width="1"/> <path d="M0 60 Q20 10, 40 40 T80 20" fill="none" stroke="#e879f9" stroke-width="2" filter="url(#glow)"/> <text x="85" y="75" fill="#94a3b8" font-family="sans-serif" font-size="10">Time</text> <text x="-15" y="10" fill="#94a3b8" font-family="sans-serif" font-size="10">GDP</text> </g> <g font-family="sans-serif" font-size="13" fill="#f8fafc"> <text x="590" y="305" font-weight="bold">Aggregate Indicators</text> <text x="590" y="325" fill="#94a3b8" font-size="12">• GDP (C + I + G + NX)</text> <text x="590" y="342" fill="#94a3b8" font-size="12">• Inflation (CPI)</text> <text x="590" y="359" fill="#94a3b8" font-size="12">• Unemployment Rate</text> <text x="490" y="405" font-weight="bold">Policy Tools</text> <g transform="translate(490, 415)"> <rect width="165" height="30" rx="6" fill="#e879f915"/> <text x="82" y="20" text-anchor="middle" fill="#f8fafc" font-size="11">FISCAL (Tax/Spend)</text> <rect x="175" width="165" height="30" rx="6" fill="#38bdf815"/> <text x="257" y="20" text-anchor="middle" fill="#f8fafc" font-size="11">MONETARY (Interest)</text> </g> </g> <!-- Bottom Bar: Factors of Production --> <rect x="40" y="480" width="820" height="60" rx="12" fill="#ffffff05" stroke="#ffffff10"/> <text x="60" y="515" fill="#94a3b8" font-family="sans-serif" font-weight="bold" font-size="14">FACTORS OF PRODUCTION:</text> <g transform="translate(260, 500)" font-family="sans-serif" font-size="12"> <rect x="0" y="0" width="130" height="24" rx="12" fill="#38bdf810" stroke="#38bdf840"/> <text x="65" y="16" text-anchor="middle" fill="#f8fafc">LAND (Natural)</text> <rect x="140" y="0" width="130" height="24" rx="12" fill="#38bdf810" stroke="#38bdf840"/> <text x="205" y="16" text-anchor="middle" fill="#f8fafc">LABOR (Human)</text> <rect x="280" y="0" width="130" height="24" rx="12" fill="#38bdf810" 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fill="#f8fafc">The Architecture of Learning</text> <text x="40" y="88" font-family="sans-serif" font-size="16" fill="#94a3b8" letter-spacing="1">EDUCATION &amp; PROFESSIONAL DEVELOPMENT ECOSYSTEM</text> <rect x="40" y="105" width="120" height="4" fill="url(#accentGrad)" rx="2"/> <!-- Column 1: Instructional Design (ADDIE) --> <rect x="40" y="130" width="260" height="390" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="60" y="165" font-family="sans-serif" font-weight="bold" font-size="18" fill="#38bdf8">Instructional Design</text> <text x="60" y="185" font-family="sans-serif" font-size="12" fill="#94a3b8">The ADDIE Framework (Iterative)</text> <!-- ADDIE Steps --> <g transform="translate(60, 210)"> <circle cx="15" cy="15" r="15" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <text x="15" y="20" font-family="sans-serif" font-weight="bold" font-size="14" fill="#38bdf8" text-anchor="middle">A</text> <text x="45" y="12" font-family="sans-serif" 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1https://www.getlykke.com/explore/public/overview-of-social-science-and-professional-76e90f78-265a-4c20-a32c-7a65e795fc57/media/education-and-professional-development/svg/1Education & Professional Development diagram 1Education & Professional Development - Overview of Social Science and Professional Disciplines - diagram 1https://www.getlykke.com/explore/public/overview-of-social-science-and-professional-76e90f78-265a-4c20-a32c-7a65e795fc57/media/education-and-professional-development/svg/2Education & Professional Development diagram 2Education & Professional Development - Overview of Social Science and Professional Disciplines - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dots" x="0" y="0" width="24" height="24" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" 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<text x="60" y="145" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">THE GENESIS: 1968–1969</text> <text x="60" y="170" font-family="sans-serif" font-size="13" fill="#cbd5e1"> <tspan x="60" dy="0">Born from the Third World Liberation Front (TWLF)</tspan> <tspan x="60" dy="18">strikes at SF State and UC Berkeley. A demand for</tspan> <tspan x="60" dy="18">curricula reflecting BIPOC histories and systemic</tspan> <tspan x="60" dy="18">critique of power structures.</tspan> </text> <!-- Strike Icon --> <circle cx="380" cy="150" r="25" fill="#f59e0b20"/> <path d="M370 160 L375 140 L385 140 L390 160 Z" fill="#f59e0b"/> <rect x="377" y="145" width="6" height="12" fill="#0f172a"/> <!-- Top Right: The Framework Shift --> <rect x="465" y="115" width="395" height="150" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="485" y="145" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">THE SHIFT: OBJECT TO SUBJECT</text> <!-- Comparison Table Mini --> <text x="485" y="175" font-family="sans-serif" font-size="11" font-weight="700" fill="#94a3b8">TRADITIONAL SOCIAL SCIENCE</text> <text x="485" y="192" font-family="sans-serif" font-size="12" fill="#f8fafc">Researcher as "Objective" Observer</text> <line x1="485" y1="205" x2="840" y2="205" stroke="#ffffff10"/> <text x="485" y="225" font-family="sans-serif" font-size="11" font-weight="700" fill="#38bdf8">ETHNIC STUDIES FRAMEWORK</text> <text x="485" y="242" font-family="sans-serif" font-size="12" fill="#f8fafc">Researcher as "Positioned" Participant</text> <!-- Center Divider / Pillars Title --> <text x="450" y="305" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="20" fill="#f8fafc">THE FOUR PILLARS</text> <path d="M40 300 L350 300 M550 300 L860 300" stroke="#ffffff20" stroke-width="1"/> <!-- Pillar 1: Africana --> <rect x="40" y="330" width="195" height="190" rx="12" fill="#f59e0b10" stroke="#f59e0b30"/> <text x="55" y="360" font-family="sans-serif" font-weight="700" font-size="15" fill="#f59e0b">AFRICANA</text> <text x="55" y="385" font-family="sans-serif" font-size="12" fill="#cbd5e1"> <tspan x="55" dy="0" font-weight="700" fill="#f8fafc">Double Consciousness</tspan> <tspan x="55" dy="18">The internal conflict of</tspan> <tspan x="55" dy="16">subordinated groups in</tspan> <tspan x="55" dy="16">oppressive societies.</tspan> <tspan x="55" dy="25" font-style="italic" fill="#94a3b8">Focus: African Diaspora,</tspan> <tspan x="55" dy="16" font-style="italic" fill="#94a3b8">Black Radical Tradition.</tspan> </text> <!-- Pillar 2: AAPI --> <rect x="245" y="330" width="195" height="190" rx="12" fill="#38bdf810" stroke="#38bdf830"/> <text x="260" y="360" font-family="sans-serif" font-weight="700" font-size="15" fill="#38bdf8">AAPI STUDIES</text> <text x="260" y="385" font-family="sans-serif" font-size="12" fill="#cbd5e1"> <tspan x="260" dy="0" font-weight="700" fill="#f8fafc">Pan-ethnicity</tspan> <tspan x="260" dy="18">Forging collective identity</tspan> <tspan x="260" dy="16">for political mobilization</tspan> <tspan x="260" dy="16">against Orientalism.</tspan> <tspan x="260" dy="25" font-style="italic" fill="#94a3b8">Focus: Labor history,</tspan> <tspan x="260" dy="16" font-style="italic" fill="#94a3b8">Model Minority Myth.</tspan> </text> <!-- Pillar 3: Chicanx/Latinx --> <rect x="450" y="330" width="195" height="190" rx="12" fill="#e879f910" stroke="#e879f930"/> <text x="465" y="360" font-family="sans-serif" font-weight="700" font-size="15" fill="#e879f9">CHICANX/LATINX</text> <text x="465" y="385" font-family="sans-serif" font-size="12" fill="#cbd5e1"> <tspan x="465" dy="0" font-weight="700" fill="#f8fafc">Borderlands</tspan> <tspan x="465" dy="18">Analyzing physical and</tspan> <tspan x="465" dy="16">psychological spaces of</tspan> <tspan x="465" dy="16">cultural mixing (Mestizaje).</tspan> <tspan x="465" dy="25" font-style="italic" fill="#94a3b8">Focus: Decolonial theory,</tspan> <tspan x="465" dy="16" font-style="italic" fill="#94a3b8">Migration &amp; Resistance.</tspan> </text> <!-- Pillar 4: Indigenous --> <rect x="655" y="330" width="195" height="190" rx="12" fill="#4ade8010" stroke="#4ade8030"/> <text x="670" y="360" font-family="sans-serif" font-weight="700" font-size="15" fill="#4ade80">INDIGENOUS</text> <text x="670" y="385" font-family="sans-serif" font-size="12" fill="#cbd5e1"> <tspan x="670" dy="0" font-weight="700" fill="#f8fafc">Sovereignty</tspan> <tspan x="670" dy="18">The inherent right to self-</tspan> <tspan x="670" dy="16">determination and land</tspan> <tspan x="670" dy="16">against Settler Colonialism.</tspan> <tspan x="670" dy="25" font-style="italic" fill="#94a3b8">Focus: Knowledge Systems,</tspan> <tspan x="670" dy="16" font-style="italic" fill="#94a3b8">Land Back, Decolonization.</tspan> </text> <!-- Footer / Concept Note --> <rect x="40" y="535" width="820" height="1" fill="#ffffff10"/> <text x="450" y="550" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#64748b" font-style="italic">Ethnic Studies is not just inclusion; it is a critique of Eurocentrism as the "default" state of knowledge.</text> <!-- Decorative geometric elements --> <circle cx="860" cy="40" r="30" fill="none" stroke="#e879f9" stroke-width="0.5" opacity="0.3"/> <circle cx="860" cy="40" r="20" fill="none" stroke="#38bdf8" stroke-width="0.5" opacity="0.3"/> <path d="M20 540 L40 520 M10 530 L30 510" stroke="#f59e0b" stroke-width="1" opacity="0.2"/> </svg>Ethnic Studies image 1Ethnic Studies - Overview of Social Science and Professional Disciplines - image 1https://www.getlykke.com/explore/public/overview-of-social-science-and-professional-76e90f78-265a-4c20-a32c-7a65e795fc57/media/ethnic-studies/svg/1Ethnic Studies diagram 1Ethnic Studies - Overview of Social Science and Professional Disciplines - diagram 1https://www.getlykke.com/explore/public/overview-of-social-science-and-professional-76e90f78-265a-4c20-a32c-7a65e795fc57/media/ethnic-studies/svg/2Ethnic Studies diagram 2Ethnic Studies - Overview of Social Science and Professional Disciplines - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="40" y="60" font-family="sans-serif" font-size="32" font-weight="bold" fill="#f8fafc" letter-spacing="1">GENDER STUDIES</text> <text x="40" y="85" font-family="sans-serif" font-size="14" fill="#94a3b8" font-style="italic">An Interdisciplinary Analysis of Identity, Power, and Performance</text> <line x1="40" y1="105" x2="860" y2="105" stroke="#334155" stroke-width="1"/> <!-- Left Column: Sex vs Gender --> <rect x="40" y="130" width="260" height="390" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="160" font-family="sans-serif" font-size="18" font-weight="bold" fill="#38bdf8">The Foundational Split</text> <circle cx="75" cy="200" r="15" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <path d="M 70 195 L 80 205 M 80 195 L 70 205" stroke="#38bdf8" stroke-width="2"/> <text x="100" y="195" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">SEX (Biological)</text> <text x="100" y="212" font-family="sans-serif" font-size="11" fill="#94a3b8">Chromosomes, Hormones, Anatomy</text> <rect x="60" y="235" width="220" height="1" fill="#334155"/> <circle cx="75" cy="270" r="15" fill="#e879f920" stroke="#e879f9" stroke-width="2"/> <path d="M 70 270 Q 75 260 80 270 Q 75 280 70 270" fill="none" stroke="#e879f9" stroke-width="2"/> <text x="100" y="265" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">GENDER (Social)</text> <text x="100" y="282" font-family="sans-serif" font-size="11" fill="#94a3b8">Cultural Meanings &amp; Expectations</text> <text x="60" y="325" font-family="sans-serif" font-size="12" fill="#cbd5e1" line-height="1.4"> <tspan x="60" dy="0">Gender is not an innate essence,</tspan> <tspan x="60" dy="18">but a product of human interaction</tspan> <tspan x="60" dy="18">and cultural history. It is a</tspan> <tspan x="60" dy="18">"Social Construction."</tspan> </text> <!-- Middle Column: Performativity --> <rect x="320" y="130" width="260" height="390" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="340" y="160" font-family="sans-serif" font-size="18" font-weight="bold" fill="#f59e0b">"Doing Gender"</text> <!-- Performativity Diagram --> <path d="M 450 200 A 40 40 0 1 1 449 200" fill="none" stroke="#f59e0b" stroke-width="2" stroke-dasharray="4 2"/> <path d="M 485 220 L 495 225 L 490 215" fill="#f59e0b"/> <text x="450" y="225" font-family="sans-serif" font-size="11" font-weight="bold" fill="#f59e0b" text-anchor="middle">REPETITION</text> <text x="340" y="285" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">Judith Butler's Theory</text> <text x="340" y="305" font-family="sans-serif" font-size="12" fill="#cbd5e1"> <tspan x="340" dy="0">Gender is performative: it is</tspan> <tspan x="340" dy="18">produced through the repetition</tspan> <tspan x="340" dy="18">of acts. There is no "core" self</tspan> <tspan x="340" dy="18">behind the expression.</tspan> </text> <rect x="340" y="390" width="220" height="100" rx="8" fill="#00000030"/> <text x="350" y="415" font-family="monospace" font-size="10" fill="#10b981">while behavior != norm:</text> <text x="365" y="430" font-family="monospace" font-size="10" fill="#94a3b8">receive_sanction()</text> <text x="350" y="445" font-family="monospace" font-size="10" fill="#10b981">if behavior == norm:</text> <text x="365" y="460" font-family="monospace" font-size="10" fill="#94a3b8">receive_reward()</text> <text x="340" y="505" font-family="sans-serif" font-size="10" fill="#64748b" font-style="italic">Socialization Feedback Loop</text> <!-- Right Column: Intersectionality --> <rect x="600" y="130" width="260" height="390" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="620" y="160" font-family="sans-serif" font-size="18" font-weight="bold" fill="#e879f9">Intersectionality</text> <!-- Venn Diagram --> <circle cx="700" cy="230" r="35" fill="#38bdf830" stroke="#38bdf8" stroke-width="1.5"/> <circle cx="760" cy="230" r="35" fill="#e879f930" stroke="#e879f9" stroke-width="1.5"/> <circle cx="730" cy="275" r="35" fill="#f59e0b30" stroke="#f59e0b" stroke-width="1.5"/> <text x="730" y="245" font-family="sans-serif" font-size="9" fill="#f8fafc" text-anchor="middle" font-weight="bold">POWER</text> <text x="620" y="335" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">The Matrix of Domination</text> <text x="620" y="355" font-family="sans-serif" font-size="12" fill="#cbd5e1"> <tspan x="620" dy="0">Kimberlé Crenshaw (1989):</tspan> <tspan x="620" dy="18">Identities (Race, Class, Gender)</tspan> <tspan x="620" dy="18">overlap to create unique modes</tspan> <tspan x="620" dy="18">of discrimination and privilege.</tspan> </text> <path d="M 620 440 L 840 440" stroke="#334155" stroke-width="1"/> <text x="620" y="465" font-family="serif" font-size="14" fill="#f8fafc" font-style="italic">E = Φ(R ⊗ G ⊗ C, P)</text> <text x="620" y="485" font-family="sans-serif" font-size="10" fill="#94a3b8">Experience is a non-linear function</text> <text x="620" y="498" font-family="sans-serif" font-size="10" fill="#94a3b8">of intersecting social tensors.</text> <!-- Footer Decorative --> <circle cx="860" cy="40" r="20" fill="#f59e0b20" filter="glow"/> <circle cx="860" cy="40" r="10" fill="#f59e0b"/> <text x="835" y="45" font-family="sans-serif" font-size="10" fill="#f8fafc" text-anchor="end">CRITICAL THEORY</text> </svg>Gender Studies image 1Gender Studies - Overview of Social Science and Professional Disciplines - image 1https://www.getlykke.com/explore/public/overview-of-social-science-and-professional-76e90f78-265a-4c20-a32c-7a65e795fc57/media/gender-studies/svg/1Gender Studies diagram 1Gender Studies - Overview of Social Science and Professional Disciplines - diagram 1https://www.getlykke.com/explore/public/overview-of-social-science-and-professional-76e90f78-265a-4c20-a32c-7a65e795fc57/media/gender-studies/svg/2Gender Studies diagram 2Gender Studies - Overview of Social Science and Professional Disciplines - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dotGrid" x="0" y="0" width="30" height="30" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10" /> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dotGrid)"/> <!-- Header --> <text x="40" y="60" font-family="sans-serif" font-size="32" font-weight="800" fill="#f8fafc" letter-spacing="-1">GEOGRAPHY <tspan fill="#38bdf8">(HUMAN)</tspan></text> <text x="40" y="85" font-family="sans-serif" font-size="14" font-weight="400" fill="#94a3b8">The analytical study of patterns and processes shaping human interaction with Earth.</text> <line x1="40" y1="105" x2="860" y2="105" stroke="#ffffff20" stroke-width="1"/> <!-- Main Concept: Space vs Place --> <rect x="40" y="130" width="400" height="160" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="160" font-family="sans-serif" font-size="18" font-weight="700" fill="#f59e0b">Space vs. Place</text> <!-- Space Icon & Text --> <g transform="translate(60, 180)"> <rect width="40" height="40" rx="4" fill="#38bdf820" stroke="#38bdf8" stroke-width="1"/> <path d="M5 20 H35 M20 5 V35" stroke="#38bdf8" stroke-width="1" opacity="0.5"/> <circle cx="20" cy="20" r="3" fill="#38bdf8"/> <text x="50" y="15" font-family="sans-serif" font-size="14" font-weight="600" fill="#f8fafc">Space (Abstract)</text> <text x="50" y="32" font-family="sans-serif" font-size="11" fill="#94a3b8">Coordinates, distance, and geometry.</text> </g> <!-- Place Icon & Text --> <g transform="translate(60, 235)"> <rect width="40" height="40" rx="4" fill="#e879f920" stroke="#e879f9" stroke-width="1"/> <path d="M20 8 L28 15 V32 H12 V15 Z" fill="#e879f9" opacity="0.6"/> <text x="50" y="15" font-family="sans-serif" font-size="14" font-weight="600" fill="#f8fafc">Place (Meaning)</text> <text x="50" y="32" font-family="sans-serif" font-size="11" fill="#94a3b8">Subjective, experiential, and emotional.</text> </g> <!-- Spatial Analysis Metrics --> <rect x="460" y="130" width="400" height="160" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="480" y="160" font-family="sans-serif" font-size="18" font-weight="700" fill="#38bdf8">Spatial Metrics</text> <!-- Density --> <g transform="translate(480, 180)"> <rect width="100" height="80" rx="8" fill="#ffffff05" stroke="#ffffff10"/> 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filter="glow"/> <text x="-10" y="50" transform="rotate(-90 -10 50)" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">Interaction</text> <text x="100" y="115" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">Distance</text> </g> <!-- Mathematical Formula Box --> <rect x="320" y="390" width="230" height="100" rx="8" fill="#00000030"/> <text x="340" y="415" font-family="serif" font-style="italic" font-size="16" fill="#38bdf8">I = f(1/d²)</text> <text x="340" y="440" font-family="sans-serif" font-size="11" fill="#f8fafc" font-weight="bold">Spatial Autocorrelation</text> <text x="340" y="458" font-family="sans-serif" font-size="11" fill="#94a3b8" width="180">The degree to which objects</text> <text x="340" y="472" font-family="sans-serif" font-size="11" fill="#94a3b8">are similar to their neighbors.</text> <!-- Human-Environment Interaction --> <rect x="600" y="310" width="260" height="210" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="620" y="345" font-family="sans-serif" font-size="18" font-weight="700" fill="#e879f9">HEI Pillars</text> <g transform="translate(620, 370)"> <circle cx="15" cy="15" r="15" fill="#38bdf820" stroke="#38bdf8"/> <text x="15" y="20" text-anchor="middle" font-family="sans-serif" font-size="12" font-weight="bold" fill="#38bdf8">1</text> <text x="40" y="12" font-family="sans-serif" font-size="13" font-weight="600" fill="#f8fafc">Adaptation</text> <text x="40" y="26" font-family="sans-serif" font-size="11" fill="#94a3b8">Changing behavior to fit.</text> </g> <g transform="translate(620, 420)"> <circle cx="15" cy="15" r="15" fill="#f59e0b20" stroke="#f59e0b"/> <text x="15" y="20" text-anchor="middle" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f59e0b">2</text> <text x="40" y="12" font-family="sans-serif" font-size="13" font-weight="600" fill="#f8fafc">Modification</text> <text x="40" y="26" font-family="sans-serif" font-size="11" fill="#94a3b8">Changing the 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diagram 1https://www.getlykke.com/explore/public/overview-of-social-science-and-professional-76e90f78-265a-4c20-a32c-7a65e795fc57/media/human-geography/svg/2Geography (Human) diagram 2Geography (Human) - Overview of Social Science and Professional Disciplines - diagram 2https://www.getlykke.com/explore/public/anthropology-a4bd31d3-9ba4-46c3-8304-912d8aac0a6c2026-04-20T05:06:22.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background and Texture --> <rect width="900" height="560" fill="url(#bg)"/> <pattern id="dotPattern" x="0" y="0" width="30" height="30" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" 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Sociolinguistics</text> <text x="555" y="470" fill="#94a3b8" font-family="sans-serif" font-size="11">• Discourse &amp; Cognitive Frames</text> <!-- Footer Quote --> <rect x="250" y="520" width="400" height="30" rx="15" fill="#ffffff05" /> <text x="450" y="540" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-style="italic" font-size="12">"What does it mean to be human?" — The fundamental anthropological inquiry.</text> </svg>Introduction to Anthropology and the Four-Field Approach image 1Introduction to Anthropology and the Four-Field Approach - Anthropology - image 1https://www.getlykke.com/explore/public/anthropology-a4bd31d3-9ba4-46c3-8304-912d8aac0a6c/media/intro-to-anthropology/svg/1Introduction to Anthropology and the Four-Field Approach diagram 1Introduction to Anthropology and the Four-Field Approach - Anthropology - diagram 1https://www.getlykke.com/explore/public/anthropology-a4bd31d3-9ba4-46c3-8304-912d8aac0a6c/media/intro-to-anthropology/svg/2Introduction to Anthropology and the Four-Field Approach diagram 2Introduction to Anthropology and the Four-Field Approach - Anthropology - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-size="32" font-weight="800" fill="#f8fafc" letter-spacing="1">RESEARCH METHODS</text> <text x="450" y="80" text-anchor="middle" font-family="sans-serif" font-size="16" font-weight="400" fill="#94a3b8" letter-spacing="3">CULTURAL &amp; ARCHAEOLOGICAL HOLISM</text> <rect x="400" y="95" width="100" height="4" rx="2" fill="#f59e0b"/> <!-- Central Lens: Emic vs Etic --> <rect x="250" y="120" width="400" height="80" rx="16" fill="#ffffff10" stroke="#ffffff20"/> <text x="450" y="145" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="700" fill="#e879f9">THE EPISTEMOLOGICAL LENS</text> <!-- Emic Side --> <circle cx="310" cy="165" r="12" fill="#f59e0b" fill-opacity="0.2" stroke="#f59e0b" stroke-width="2"/> <text x="330" y="170" font-family="sans-serif" font-size="13" font-weight="600" fill="#f8fafc">EMIC <tspan font-weight="300" fill="#94a3b8">(The Insider)</tspan></text> <!-- Etic Side --> <circle cx="510" cy="165" r="12" fill="#38bdf8" fill-opacity="0.2" stroke="#38bdf8" stroke-width="2"/> <text x="530" y="170" font-family="sans-serif" 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font-weight="600" fill="#f8fafc">Qualitative Field Notes</text> <text x="25" y="82" font-family="sans-serif" font-size="11" fill="#94a3b8">Thematic coding of interviews and sensory data.</text> <!-- Mixed Methods --> <circle cx="10" cy="110" r="4" fill="#f59e0b"/> <text x="25" y="115" font-family="sans-serif" font-size="14" font-weight="600" fill="#f8fafc">Mixed Methods (Python/Stats)</text> <text x="25" y="132" font-family="sans-serif" font-size="11" fill="#94a3b8">Quantitative density analysis of cultural nodes.</text> </g> <!-- Python Icon Decoration --> <rect x="340" y="440" width="80" height="60" rx="8" fill="#0f172a" stroke="#f59e0b40"/> <text x="350" y="465" font-family="monospace" font-size="10" fill="#f59e0b">def analyze():</text> <text x="360" y="480" font-family="monospace" font-size="10" fill="#94a3b8"> return nodes</text> <!-- Right Column: Archaeological (The Material Record) --> <rect x="460" y="220" width="400" height="300" rx="20" fill="#ffffff08" stroke="#ffffff10"/> <rect x="460" y="220" width="400" height="50" rx="20" fill="#38bdf820"/> <text x="480" y="252" font-family="sans-serif" font-size="18" font-weight="700" fill="#38bdf8">ARCHAEOLOGICAL: MATERIAL RECORD</text> <!-- Archaeological Methods List --> <g transform="translate(480, 290)"> <!-- Excavation --> <rect x="6" cy="6" width="8" height="8" fill="#38bdf8"/> <text x="25" y="15" font-family="sans-serif" font-size="14" font-weight="600" fill="#f8fafc">Systematic Excavation</text> <text x="25" y="32" font-family="sans-serif" font-size="11" fill="#94a3b8">Controlled recovery of physical remains.</text> <!-- Stratigraphy --> <rect x="6" cy="56" width="8" height="8" fill="#38bdf8"/> <text x="25" y="65" font-family="sans-serif" font-size="14" font-weight="600" fill="#f8fafc">Stratigraphic Analysis</text> <text x="25" y="82" font-family="sans-serif" font-size="11" fill="#94a3b8">Dating via soil layers (Law of Superposition).</text> <!-- Materiality --> <rect x="6" cy="106" width="8" height="8" fill="#38bdf8"/> <text x="25" y="115" font-family="sans-serif" font-size="14" font-weight="600" fill="#f8fafc">Artifact Seriation</text> <text x="25" y="132" font-family="sans-serif" font-size="11" fill="#94a3b8">Tracking stylistic changes over time.</text> </g> <!-- Artifact Icon Decoration --> <path d="M 780 440 L 820 440 L 810 490 L 790 490 Z" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <line x1="780" y1="455" x2="820" y2="455" stroke="#38bdf840" stroke-width="1"/> <line x1="785" y1="470" x2="815" y2="470" stroke="#38bdf840" stroke-width="1"/> <!-- Footer: Cultural Relativism --> <path d="M 40 535 L 860 535" stroke="#ffffff20" stroke-width="1" stroke-dasharray="4 4"/> <text x="450" y="550" text-anchor="middle" font-family="sans-serif" font-size="11" font-style="italic" fill="#94a3b8"> The Principle of Cultural Relativism: Suspending ethnocentrism for objective data collection. </text> <!-- Connecting Bridge --> <path d="M 440 370 Q 450 370 460 370" stroke="#e879f9" stroke-width="2" fill="none" marker-end="url(#arrowhead)"/> <circle cx="450" cy="370" r="20" fill="#1e1b4b" stroke="#e879f9" stroke-width="1"/> <text x="450" y="374" text-anchor="middle" font-family="sans-serif" font-size="10" font-weight="bold" fill="#e879f9">HOLISM</text> </svg>Research Methods: Cultural and Archaeological image 1Research Methods: Cultural and Archaeological - Anthropology - image 1https://www.getlykke.com/explore/public/anthropology-a4bd31d3-9ba4-46c3-8304-912d8aac0a6c/media/anthropological-methods/svg/1Research Methods: Cultural and Archaeological diagram 1Research Methods: Cultural and Archaeological - Anthropology - diagram 1https://www.getlykke.com/explore/public/anthropology-a4bd31d3-9ba4-46c3-8304-912d8aac0a6c/media/anthropological-methods/svg/2Research Methods: Cultural and Archaeological diagram 2Research Methods: Cultural and Archaeological - Anthropology - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="450" y="50" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="32" font-weight="800" letter-spacing="1">CULTURE CONCEPT &amp; THEORIES OF CHANGE</text> <path d="M 350 65 L 550 65" stroke="#38bdf8" stroke-width="2" stroke-linecap="round"/> <text x="450" y="85" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="14" font-weight="400" letter-spacing="2">THE ANTHROPOLOGICAL OPERATING SYSTEM</text> <!-- Left Column: The Three-Tiered Structure --> <rect x="40" y="120" width="280" height="340" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="150" fill="#f59e0b" font-family="sans-serif" font-size="18" font-weight="700">THE THREE-TIERED STRUCTURE</text> <!-- Superstructure --> <rect x="60" y="170" width="240" height="75" rx="8" fill="#f59e0b15" stroke="#f59e0b40"/> <text x="75" y="195" fill="#f59e0b" font-family="sans-serif" font-size="14" font-weight="700">SUPERSTRUCTURE</text> <text x="75" y="215" fill="#cbd5e1" font-family="sans-serif" font-size="11">Mental &amp; Ideological: Religion, values,</text> <text x="75" y="230" fill="#cbd5e1" font-family="sans-serif" font-size="11">worldviews, and symbolic meaning.</text> <!-- Structure --> <rect x="60" y="255" width="240" height="75" rx="8" fill="#e879f915" stroke="#e879f940"/> <text x="75" y="280" fill="#e879f9" font-family="sans-serif" font-size="14" font-weight="700">STRUCTURE</text> <text x="75" y="300" fill="#cbd5e1" font-family="sans-serif" font-size="11">Social Organization: Kinship, political</text> <text x="75" y="315" fill="#cbd5e1" font-family="sans-serif" font-size="11">systems, and institutional frameworks.</text> <!-- Infrastructure --> <rect x="60" y="340" width="240" height="75" rx="8" fill="#38bdf815" stroke="#38bdf840"/> <text x="75" y="365" fill="#38bdf8" font-family="sans-serif" font-size="14" font-weight="700">INFRASTRUCTURE</text> <text x="75" y="385" fill="#cbd5e1" font-family="sans-serif" font-size="11">Material Base: Technology, economy,</text> <text x="75" y="400" fill="#cbd5e1" font-family="sans-serif" font-size="11">environment, and production modes.</text> <!-- Right Side: Homeyness vs Winkiness --> <rect x="340" y="120" width="520" height="160" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <circle cx="380" cy="160" r="25" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <path d="M 370 165 Q 380 145 390 165" fill="none" stroke="#38bdf8" stroke-width="2"/> <path d="M 370 160 L 390 160" stroke="#38bdf8" stroke-width="1" opacity="0.5"/> <text x="420" y="155" fill="#38bdf8" font-family="sans-serif" font-size="18" font-weight="700">HOMEYNESS (The Unmarked State)</text> <text x="420" y="180" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="600">The "Water" in which the fish swims.</text> <text x="420" y="200" fill="#94a3b8" font-family="sans-serif" font-size="12">Linked to Bourdieu's Habitus. 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503)"> <circle cx="0" cy="0" r="12" fill="#38bdf820" stroke="#38bdf8"/> <path d="M -4 0 L 4 0 M 0 -4 L 0 4" stroke="#38bdf8" stroke-width="1.5"/> <text x="18" y="4" fill="#38bdf8" font-family="sans-serif" font-size="11" font-weight="700">VERTICAL (Parents)</text> <circle cx="130" cy="0" r="12" fill="#e879f920" stroke="#e879f9"/> <path d="M 126 0 L 134 0" stroke="#e879f9" stroke-width="1.5"/> <text x="148" y="4" fill="#e879f9" font-family="sans-serif" font-size="11" font-weight="700">HORIZONTAL (Peers)</text> <circle cx="260" cy="0" r="12" fill="#f59e0b20" stroke="#f59e0b"/> <path d="M 257 -3 L 263 3 M 263 -3 L 257 3" stroke="#f59e0b" stroke-width="1.5"/> <text x="278" y="4" fill="#f59e0b" font-family="sans-serif" font-size="11" font-weight="700">OBLIQUE (Institutions)</text> </g> <!-- Decorative accents --> <circle cx="860" cy="40" r="60" fill="#38bdf808"/> <circle cx="40" cy="520" r="40" fill="#e879f908"/> <path d="M 880 100 L 900 100 M 890 90 L 890 110" stroke="#ffffff20" stroke-width="1"/> </svg>Culture Concept and Theories of Change image 1Culture Concept and Theories of Change - Anthropology - image 1https://www.getlykke.com/explore/public/anthropology-a4bd31d3-9ba4-46c3-8304-912d8aac0a6c/media/culture-concept-theory/svg/1Culture Concept and Theories of Change diagram 1Culture Concept and Theories of Change - Anthropology - diagram 1https://www.getlykke.com/explore/public/anthropology-a4bd31d3-9ba4-46c3-8304-912d8aac0a6c/media/culture-concept-theory/svg/2Culture Concept and Theories of Change diagram 2Culture Concept and Theories of Change - Anthropology - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> 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font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">THE FOUR FORCES</text> <!-- Force 1: Mutation --> <g transform="translate(60, 175)"> <circle cx="20" cy="20" r="20" fill="#38bdf820" stroke="#38bdf8" stroke-width="1"/> <path d="M 12 12 L 28 28 M 28 12 L 12 28" stroke="#38bdf8" stroke-width="2"/> <text x="50" y="15" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">Mutation</text> <text x="50" y="32" font-family="sans-serif" font-size="11" fill="#94a3b8">The source of new alleles.</text> </g> <!-- Force 2: Selection --> <g transform="translate(60, 245)"> <circle cx="20" cy="20" r="20" fill="#e879f920" stroke="#e879f9" stroke-width="1"/> <circle cx="20" cy="20" r="8" fill="none" stroke="#e879f9" stroke-width="2"/> <path d="M 20 5 L 20 10 M 20 30 L 20 35 M 5 20 L 10 20 M 30 20 L 35 20" stroke="#e879f9" stroke-width="2"/> <text x="50" y="15" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">Natural Selection</text> <text x="50" y="32" font-family="sans-serif" font-size="11" fill="#94a3b8">Differential fitness success.</text> </g> <!-- Force 3: Drift --> <g transform="translate(60, 315)"> <circle cx="20" cy="20" r="20" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1"/> <circle cx="15" cy="15" r="2" fill="#f59e0b"/> <circle cx="25" cy="18" r="2" fill="#f59e0b"/> <circle cx="18" cy="26" r="2" fill="#f59e0b"/> <text x="50" y="15" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">Genetic Drift</text> <text x="50" y="32" font-family="sans-serif" font-size="11" fill="#94a3b8">Random allele fluctuations.</text> </g> <!-- Force 4: Flow --> <g transform="translate(60, 385)"> <circle cx="20" cy="20" r="20" fill="#10b98120" stroke="#10b981" stroke-width="1"/> <path d="M 10 20 H 30 M 25 15 L 30 20 L 25 25" fill="none" stroke="#10b981" stroke-width="2"/> <text x="50" y="15" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">Gene Flow</text> <text x="50" y="32" font-family="sans-serif" font-size="11" fill="#94a3b8">Migration between groups.</text> </g> <!-- Main Content: Timeline --> <rect x="320" y="120" width="540" height="290" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="340" y="150" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">HOMININ LINEAGE TIMELINE</text> <!-- Timeline Path --> <path d="M 360 320 Q 450 320 450 240 T 540 240 T 630 240 T 820 240" fill="none" stroke="#ffffff20" stroke-width="4" stroke-dasharray="8 4"/> <!-- Timeline Nodes --> <g transform="translate(360, 320)"> <circle r="6" fill="#f59e0b" filter="url(#glow)"/> <text y="25" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#f8fafc" font-weight="bold">Ardipithecus</text> <text y="40" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">~4.4 MYA</text> </g> <g transform="translate(480, 240)"> <circle r="6" fill="#f59e0b" filter="url(#glow)"/> <text y="-25" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#f8fafc" font-weight="bold">Australopithecus</text> <text y="-12" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">~3.5 MYA</text> </g> <g transform="translate(600, 240)"> <circle r="6" fill="#f59e0b" filter="url(#glow)"/> <text y="25" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#f8fafc" font-weight="bold">Homo erectus</text> <text y="40" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">~1.8 MYA</text> </g> <g transform="translate(800, 240)"> <circle r="8" fill="#38bdf8" filter="url(#glow)"/> <text y="-25" text-anchor="middle" font-family="sans-serif" font-size="12" fill="#f8fafc" font-weight="bold">Homo sapiens</text> <text y="-12" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#38bdf8">PRESENT</text> </g> <!-- Genetics Section --> <rect x="320" y="430" width="540" height="100" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="340" y="460" font-family="sans-serif" font-weight="700" font-size="16" fill="#e879f9">THE MOLECULAR BLUEPRINT</text> <!-- Hardy Weinberg --> <g transform="translate(340, 480)"> <rect width="220" height="35" rx="8" fill="#00000030"/> <text x="110" y="24" text-anchor="middle" font-family="serif" font-style="italic" font-size="18" fill="#f8fafc">p² + 2pq + q² = 1</text> <text x="240" y="15" font-family="sans-serif" font-size="11" fill="#94a3b8">Hardy-Weinberg Equilibrium:</text> <text x="240" y="30" font-family="sans-serif" font-size="11" fill="#94a3b8">The null model for evolution.</text> </g> <!-- Decorative Accents --> <circle cx="850" cy="50" r="30" fill="none" stroke="#ffffff10" stroke-width="2"/> <circle cx="850" cy="50" r="15" fill="none" stroke="#ffffff05" stroke-width="1"/> <path d="M 820 50 L 880 50 M 850 20 L 850 80" stroke="#ffffff08" stroke-width="1"/> <!-- Bottom Label --> <text x="860" y="545" text-anchor="end" font-family="sans-serif" font-size="10" fill="#ffffff30" letter-spacing="2">ANTHROPOLOGY SERIES // VOL 01</text> </svg>Biological Evolution and Early Human Evidence image 1Biological Evolution and Early Human Evidence - Anthropology - image 1https://www.getlykke.com/explore/public/anthropology-a4bd31d3-9ba4-46c3-8304-912d8aac0a6c/media/biological-evolution/svg/1Biological Evolution and Early Human Evidence diagram 1Biological Evolution and Early Human Evidence - Anthropology - diagram 1https://www.getlykke.com/explore/public/anthropology-a4bd31d3-9ba4-46c3-8304-912d8aac0a6c/media/biological-evolution/svg/2Biological Evolution and Early Human Evidence diagram 2Biological Evolution and Early Human Evidence - Anthropology - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" 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width="260" height="380" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="160" font-family="sans-serif" font-weight="700" font-size="18" fill="#f8fafc">CEREBRAL RUBICON</text> <text x="60" y="180" font-family="sans-serif" font-size="12" fill="#94a3b8">The threshold of brain encephalization.</text> <!-- Brain Size Comparison --> <circle cx="100" cy="240" r="22" fill="#334155" stroke="#94a3b8"/> <text x="135" y="235" font-family="sans-serif" font-size="11" fill="#f8fafc" font-weight="bold">A. afarensis</text> <text x="135" y="250" font-family="sans-serif" font-size="10" fill="#94a3b8">~450 cc</text> <circle cx="100" cy="300" r="28" fill="#1e293b" stroke="#38bdf8" stroke-width="2"/> <text x="145" y="295" font-family="sans-serif" font-size="11" fill="#f8fafc" font-weight="bold">H. habilis</text> <text x="145" y="310" font-family="sans-serif" font-size="10" fill="#38bdf8">~610 cc</text> <circle cx="100" cy="375" r="38" fill="#1e293b" stroke="#f59e0b" stroke-width="2"/> <text 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340 Q 500 380 470 390" fill="none" stroke="#94a3b8" stroke-width="2"/> <path d="M 420 390 Q 380 380 370 345" fill="none" stroke="#94a3b8" stroke-width="2"/> <path d="M 380 300 Q 400 270 430 255" fill="none" stroke="#94a3b8" stroke-width="2"/> <text x="340" y="450" font-family="sans-serif" font-size="12" fill="#94a3b8" width="220"> <tspan x="340" dy="1.2em">Cultural innovation drives biological</tspan> <tspan x="340" dy="1.2em">change, which in turn enables more</tspan> <tspan x="340" dy="1.2em">complex cultural adaptations.</tspan> </text> <!-- Right Panel: Expensive Tissue Hypothesis --> <rect x="600" y="130" width="260" height="380" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="620" y="160" font-family="sans-serif" font-weight="700" font-size="18" fill="#f8fafc">EXPENSIVE TISSUE</text> <!-- Scale Visual --> <line x1="650" y1="320" x2="810" y2="320" stroke="#94a3b8" stroke-width="2"/> <path d="M 730 320 L 710 350 L 750 350 Z" fill="#334155"/> <!-- Left Side of Scale (Brain) 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dy="1.2em">made possible by high-quality diet.</tspan> </text> <!-- Timeline Footer --> <rect x="40" y="525" width="820" height="4" rx="2" fill="#334155"/> <circle cx="40" cy="527" r="6" fill="#38bdf8"/> <text x="40" y="545" font-family="sans-serif" font-size="10" fill="#94a3b8">2.5 MYA</text> <circle cx="300" cy="527" r="6" fill="#f59e0b"/> <text x="300" y="545" font-family="sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">1.9 MYA (H. erectus)</text> <circle cx="860" cy="527" r="6" fill="#e879f9"/> <text x="860" y="545" font-family="sans-serif" font-size="10" fill="#94a3b8" text-anchor="end">PRESENT (H. sapiens)</text> <!-- Decorative Tool Icons --> <path d="M 830 50 L 850 80 L 820 85 Z" fill="none" stroke="#f59e0b" stroke-width="1.5" opacity="0.6"/> <path d="M 855 60 L 870 75 L 850 85 Z" fill="none" stroke="#38bdf8" stroke-width="1" opacity="0.4"/> </svg>The Genus Homo and the Emergence of Modern Humans image 1The Genus Homo and the Emergence of Modern Humans - 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<text x="70" y="435" font-family="sans-serif" font-weight="700" font-size="14" fill="#f59e0b">THE BOAS-SAPIR-WHORF LINEAGE</text> <!-- Lineage Points --> <g transform="translate(70, 460)"> <circle cx="0" cy="0" r="4" fill="#38bdf8"/> <text x="0" y="20" font-family="sans-serif" font-weight="700" font-size="12" fill="#f8fafc">Franz Boas</text> <text x="0" y="35" font-family="sans-serif" font-size="11" fill="#94a3b8">Cultural Categorization</text> </g> <line x1="180" y1="460" x2="300" y2="460" stroke="#ffffff20" stroke-width="1" stroke-dasharray="4 4"/> <g transform="translate(330, 460)"> <circle cx="0" cy="0" r="4" fill="#38bdf8"/> <text x="0" y="20" font-family="sans-serif" font-weight="700" font-size="12" fill="#f8fafc">Edward Sapir</text> <text x="0" y="35" font-family="sans-serif" font-size="11" fill="#94a3b8">Guide to Social Reality</text> </g> <line x1="450" y1="460" x2="570" y2="460" stroke="#ffffff20" stroke-width="1" stroke-dasharray="4 4"/> <g transform="translate(600, 460)"> <circle cx="0" cy="0" r="4" fill="#38bdf8"/> <text x="0" y="20" font-family="sans-serif" font-weight="700" font-size="12" fill="#f8fafc">Benjamin Lee Whorf</text> <text x="0" y="35" font-family="sans-serif" font-size="11" fill="#94a3b8">The Principle of Relativity</text> </g> <!-- Decorative Accents --> <circle cx="850" cy="50" r="80" fill="#e879f905"/> <circle cx="50" cy="510" r="60" fill="#38bdf805"/> <!-- Subtle UI elements --> <rect x="780" y="20" width="70" height="20" rx="10" fill="#ffffff10"/> <text x="815" y="34" text-anchor="middle" font-family="sans-serif" font-size="9" font-weight="bold" fill="#94a3b8">v1.0.4 CORE</text> </svg>Language and Communication image 1Language and Communication - Anthropology - image 1https://www.getlykke.com/explore/public/anthropology-a4bd31d3-9ba4-46c3-8304-912d8aac0a6c/media/language-communication/svg/1Language and Communication diagram 1Language and Communication - Anthropology - diagram 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Agriculture --> <rect x="665" y="230" width="185" height="260" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <circle cx="757" cy="270" r="25" fill="#22c55e20" /> <!-- Field Icon --> <rect x="742" y="260" width="30" height="20" fill="none" stroke="#22c55e" stroke-width="1.5"/> <line x1="752" y1="260" x2="752" y2="280" stroke="#22c55e" stroke-width="1"/> <line x1="762" y1="260" x2="762" y2="280" stroke="#22c55e" stroke-width="1"/> <text x="757" y="315" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-weight="bold" font-size="18">AGRICULTURE</text> <text x="757" y="340" text-anchor="middle" fill="#22c55e" font-family="sans-serif" font-size="12" font-weight="bold">"The Urban Revolution"</text> <text x="680" y="370" fill="#94a3b8" font-family="sans-serif" font-size="12"> <tspan x="680" dy="1.4em">• Intensive cultivation</tspan> <tspan x="680" dy="1.4em">• Massive food surplus</tspan> <tspan x="680" dy="1.4em">• State formation</tspan> <tspan x="680" dy="1.4em">• High stratification</tspan> </text> <!-- Bottom Scale/Arrow --> <defs> <marker id="arrowhead" markerWidth="10" markerHeight="7" refX="0" refY="3.5" orient="auto"> <polygon points="0 0, 10 3.5, 0 7" fill="#ffffff30" /> </marker> </defs> <line x1="50" y1="530" x2="840" y2="530" stroke="#ffffff30" stroke-width="2" marker-end="url(#arrowhead)"/> <text x="50" y="550" fill="#94a3b8" font-family="sans-serif" font-size="10" font-weight="bold">LOW SOCIAL STRATIFICATION</text> <text x="850" y="550" text-anchor="end" fill="#94a3b8" font-family="sans-serif" font-size="10" font-weight="bold">HIGH SOCIAL STRATIFICATION</text> <!-- Substantivist vs Formalist Label --> <rect x="300" y="505" width="300" height="24" rx="12" fill="#38bdf820" stroke="#38bdf840"/> <text x="450" y="521" text-anchor="middle" fill="#38bdf8" font-family="sans-serif" font-size="11" font-weight="bold">SUBSTANTIVIST (Social Logic) vs. FORMALIST (Market Logic)</text> </svg>Work, Life, and Value: Economic Anthropology image 1Work, Life, and Value: Economic Anthropology - Anthropology - image 1https://www.getlykke.com/explore/public/anthropology-a4bd31d3-9ba4-46c3-8304-912d8aac0a6c/media/economic-anthropology/svg/1Work, Life, and Value: Economic Anthropology diagram 1Work, Life, and Value: Economic Anthropology - Anthropology - diagram 1https://www.getlykke.com/explore/public/anthropology-a4bd31d3-9ba4-46c3-8304-912d8aac0a6c/media/economic-anthropology/svg/2Work, Life, and Value: Economic Anthropology diagram 2Work, Life, and Value: Economic Anthropology - Anthropology - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <pattern id="dotPattern" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10"/> </pattern> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dotPattern)"/> <!-- Header Section --> <text x="450" y="50" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="14" font-weight="600" letter-spacing="4">POLITICAL ANTHROPOLOGY</text> <text x="450" y="90" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="32" font-weight="800">Authority, Decisions, &amp; Power</text> <line x1="350" y1="110" x2="550" y2="110" stroke="url(#accentGrad)" stroke-width="3" stroke-linecap="round"/> <!-- Main Comparison Panels --> <!-- LEFT PANEL: ACEPHALOUS --> <rect x="40" y="140" width="400" height="380" rx="20" fill="#ffffff08" stroke="#ffffff15"/> <text x="65" y="180" fill="#38bdf8" font-family="sans-serif" font-size="22" font-weight="700">Acephalous Societies</text> <text x="65" y="205" fill="#94a3b8" font-family="sans-serif" font-size="14">"Headless" • Bands &amp; Tribes • Egalitarian</text> <!-- Icon: Consensus Circle --> <g transform="translate(340, 180)"> <circle cx="0" cy="0" r="30" fill="none" stroke="#38bdf8" stroke-dasharray="4 4"/> <circle cx="0" cy="-30" r="6" fill="#38bdf8"/> <circle cx="26" cy="-15" r="6" fill="#38bdf8"/> <circle cx="26" cy="15" r="6" fill="#38bdf8"/> <circle cx="0" cy="30" r="6" fill="#38bdf8"/> <circle cx="-26" cy="15" r="6" fill="#38bdf8"/> <circle cx="-26" cy="-15" r="6" fill="#38bdf8"/> </g> <!-- Leveling Mechanisms Card --> <rect x="60" y="240" width="360" height="130" rx="12" fill="#ffffff05" stroke="#38bdf830"/> <text x="75" y="265" fill="#f8fafc" font-family="sans-serif" font-size="15" font-weight="600">Social Leveling Mechanisms</text> <text x="75" y="290" fill="#94a3b8" font-family="sans-serif" font-size="13">• Gossip &amp; Shaming: Public criticism</text> <text x="75" y="310" fill="#94a3b8" font-family="sans-serif" font-size="13">• Meat-Sharing: Preventing food control</text> <text x="75" y="330" fill="#94a3b8" font-family="sans-serif" font-size="13">• Reverse Dominance: Collective control</text> <text x="75" y="350" fill="#f59e0b" font-family="sans-serif" font-size="12" font-style="italic">Example: !Kung San "Insulting the Meat"</text> <text x="65" y="410" fill="#f8fafc" font-family="sans-serif" font-size="16" font-weight="600">Influence vs. Authority</text> <text x="65" y="435" fill="#94a3b8" font-family="sans-serif" font-size="13" width="350"> <tspan x="65" dy="0">Power is diffused. Leaders have the ability to</tspan> <tspan x="65" dy="18">persuade (influence) but lack the recognized</tspan> <tspan x="65" dy="18">right to command (authority).</tspan> </text> <!-- RIGHT PANEL: CENTRALIZED --> <rect x="460" y="140" width="400" height="380" rx="20" fill="#ffffff08" stroke="#ffffff15"/> <text x="485" y="180" fill="#f59e0b" font-family="sans-serif" font-size="22" font-weight="700">Centralized Societies</text> <text x="485" y="205" fill="#94a3b8" font-family="sans-serif" font-size="14">States &amp; Chiefdoms • Stratified • Bureaucratic</text> <!-- Icon: Hierarchy Pyramid --> <g transform="translate(760, 180)"> <path d="M0 -35 L35 25 L-35 25 Z" fill="none" stroke="#f59e0b" stroke-width="2"/> <line x1="-20" y1="-10" x2="20" y2="-10" stroke="#f59e0b" stroke-width="1"/> <line x1="-28" y1="10" x2="28" y2="10" stroke="#f59e0b" stroke-width="1"/> <circle cx="0" cy="-20" r="4" fill="#f59e0b"/> </g> <!-- Structure Card --> <rect x="480" y="240" width="360" height="130" rx="12" fill="#ffffff05" stroke="#f59e0b30"/> <text x="495" y="265" fill="#f8fafc" font-family="sans-serif" font-size="15" font-weight="600">Institutionalized Power</text> <rect x="495" y="280" width="165" height="75" rx="8" fill="#ffffff05"/> <text x="505" y="300" fill="#f59e0b" font-family="sans-serif" font-size="13" font-weight="600">Chiefdoms</text> <text x="505" y="320" fill="#94a3b8" font-family="sans-serif" font-size="11">Hereditary Rank</text> <text x="505" y="335" fill="#94a3b8" font-family="sans-serif" font-size="11">Kinship-based</text> <rect x="665" y="280" width="165" height="75" rx="8" fill="#ffffff05"/> <text x="675" y="300" fill="#f59e0b" font-family="sans-serif" font-size="13" font-weight="600">States</text> <text x="675" y="320" fill="#94a3b8" font-family="sans-serif" font-size="11">Bureaucratic</text> <text x="675" y="335" fill="#94a3b8" font-family="sans-serif" font-size="11">Class-based</text> <text x="485" y="410" fill="#f8fafc" font-family="sans-serif" font-size="16" font-weight="600">Agency vs. Structure</text> <text x="485" y="435" fill="#94a3b8" font-family="sans-serif" font-size="13"> <tspan x="485" dy="0">The tension between individual capacity to act</tspan> <tspan x="485" dy="18">(agency) and the formal social arrangements</tspan> <tspan x="485" dy="18">that limit behavior (structure).</tspan> </text> <!-- Bottom Label --> <rect x="350" y="500" width="200" height="30" rx="15" fill="url(#accentGrad)" opacity="0.2"/> <text x="450" y="520" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="12" font-weight="bold">THE SPECTRUM OF POLITICAL ORGANIZATION</text> </svg>Authority, Decisions, and Power: Political Anthropology image 1Authority, Decisions, and Power: Political Anthropology - Anthropology - image 1https://www.getlykke.com/explore/public/anthropology-a4bd31d3-9ba4-46c3-8304-912d8aac0a6c/media/political-anthropology/svg/1Authority, Decisions, and Power: Political Anthropology diagram 1Authority, Decisions, and Power: Political Anthropology - Anthropology - diagram 1https://www.getlykke.com/explore/public/anthropology-a4bd31d3-9ba4-46c3-8304-912d8aac0a6c/media/political-anthropology/svg/2Authority, Decisions, and Power: Political Anthropology diagram 2Authority, Decisions, and Power: Political Anthropology - Anthropology - diagram 2https://www.getlykke.com/explore/public/anthropology-a4bd31d3-9ba4-46c3-8304-912d8aac0a6c/media/political-anthropology/svg/3Authority, Decisions, and Power: Political Anthropology diagram 3Authority, Decisions, and Power: Political Anthropology - Anthropology - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="blur"/> <feComposite in="SourceGraphic" in2="blur" operator="over"/> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Subtle Grid Lines --> <path d="M 0 100 L 900 100 M 0 460 L 900 460" stroke="#ffffff08" stroke-width="1"/> <path d="M 450 100 L 450 460" stroke="#ffffff08" stroke-width="1"/> <!-- Header --> <text x="450" y="60" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="32" font-weight="bold" letter-spacing="1">SOCIAL INEQUALITY &amp; GLOBAL MIGRATION</text> <text x="450" y="85" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="14" font-weight="300" letter-spacing="4">A SYSTEMIC FEEDBACK LOOP OF GLOBALIZATION</text> <!-- Left Panel: Push Factors (Inequality) --> <rect x="40" y="120" width="380" height="320" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="155" fill="#f59e0b" font-family="sans-serif" font-size="18" font-weight="bold">THE ARCHITECTURE OF INEQUALITY</text> <text x="60" y="175" fill="#94a3b8" font-family="sans-serif" font-size="12">Systemic drivers in the country of origin</text> <!-- Inequality Dimensions --> <g transform="translate(60, 200)"> <!-- Economic --> <circle cx="15" cy="15" r="15" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1.5"/> <path d="M 10 15 L 20 15 M 15 10 L 15 20" stroke="#f59e0b" stroke-width="2"/> <text x="40" y="12" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="bold">Economic Disparity</text> <text x="40" y="28" fill="#94a3b8" font-family="sans-serif" font-size="11">Wealth concentration &amp; Gini imbalance</text> <!-- Social --> <g transform="translate(0, 50)"> <circle cx="15" cy="15" r="15" fill="#38bdf820" stroke="#38bdf8" stroke-width="1.5"/> <rect x="10" y="10" width="10" height="10" fill="none" stroke="#38bdf8" stroke-width="2"/> <text x="40" y="12" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="bold">Social Access</text> <text x="40" y="28" fill="#94a3b8" font-family="sans-serif" font-size="11">Unequal education &amp; healthcare (HDI)</text> </g> <!-- Political --> <g transform="translate(0, 100)"> <circle cx="15" cy="15" r="15" fill="#e879f920" stroke="#e879f9" stroke-width="1.5"/> <path d="M 8 18 L 15 8 L 22 18 Z" fill="none" stroke="#e879f9" stroke-width="2"/> <text x="40" y="12" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="bold">Political Power</text> <text x="40" y="28" fill="#94a3b8" font-family="sans-serif" font-size="11">Differential access to legal protections</text> </g> </g> <!-- Right Panel: Pull Factors (Migration) --> <rect x="480" y="120" width="380" height="320" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="500" y="155" fill="#38bdf8" font-family="sans-serif" font-size="18" font-weight="bold">MECHANICS OF MIGRATION</text> <text x="500" y="175" fill="#94a3b8" font-family="sans-serif" font-size="12">Aspirational leaps and survival strategies</text> <!-- Pull Factors List --> <g transform="translate(500, 200)"> <rect width="340" height="40" rx="8" fill="#ffffff05"/> <text x="15" y="25" fill="#f8fafc" font-family="sans-serif" font-size="13">Labor Demand &amp; Global Markets</text> <circle cx="320" cy="20" r="4" fill="#38bdf8"/> <rect y="50" width="340" height="40" rx="8" fill="#ffffff05"/> <text x="15" y="75" fill="#f8fafc" font-family="sans-serif" font-size="13">Political Stability &amp; Civil Liberties</text> <circle cx="320" cy="70" r="4" fill="#38bdf8"/> <rect y="100" width="340" height="40" rx="8" fill="#ffffff05"/> <text x="15" y="125" fill="#f8fafc" font-family="sans-serif" font-size="13">Family Reunification &amp; Networks</text> <circle cx="320" cy="120" r="4" fill="#38bdf8"/> </g> <!-- Center Connection --> <path d="M 420 280 Q 450 280 480 280" stroke="#f8fafc30" stroke-width="2" stroke-dasharray="8 4"/> <path d="M 475 275 L 485 280 L 475 285 Z" fill="#f8fafc30"/> <text x="450" y="270" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="10" font-weight="bold">PUSH-PULL</text> <!-- Bottom Section: Gini Coefficient Visualization --> <rect x="40" y="460" width="820" height="80" rx="16" fill="#ffffff10"/> <!-- Mini Lorenz Curve Graph --> <g transform="translate(60, 475)"> <rect width="50" height="50" fill="none" stroke="#94a3b8" stroke-width="1"/> <line x1="0" y1="50" x2="50" y2="0" stroke="#94a3b8" stroke-width="1" stroke-dasharray="2 2"/> <path d="M 0 50 Q 40 50 50 0" fill="#f59e0b30" stroke="#f59e0b" stroke-width="2"/> <text x="65" y="20" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="bold">The Gini Coefficient (G)</text> <text x="65" y="40" fill="#94a3b8" font-family="sans-serif" font-size="12">G = A / (A + B) — Measuring the gap between equality and reality.</text> </g> <!-- Python Snippet Visual --> <g transform="translate(550, 475)"> <rect width="290" height="50" rx="4" fill="#00000040"/> <text x="10" y="20" fill="#38bdf8" font-family="monospace" font-size="10">def calculate_migration_pressure(df):</text> <text x="10" y="35" fill="#e879f9" font-family="monospace" font-size="10"> MPI = alpha * (Unemp) + beta * (1/Inc)</text> </g> <!-- Decorative Elements --> <circle cx="850" cy="50" r="30" fill="none" stroke="#e879f9" stroke-width="0.5" opacity="0.5"/> <circle cx="850" cy="50" r="20" fill="none" stroke="#e879f9" stroke-width="0.5" opacity="0.3"/> <circle cx="50" cy="510" r="40" fill="none" stroke="#38bdf8" stroke-width="0.5" opacity="0.2"/> </svg>Social Inequality and Global Migration image 1Social Inequality and Global Migration - Anthropology - image 1https://www.getlykke.com/explore/public/anthropology-a4bd31d3-9ba4-46c3-8304-912d8aac0a6c/media/inequality-and-migration/svg/1Social Inequality and Global Migration diagram 1Social Inequality and Global Migration - Anthropology - diagram 1https://www.getlykke.com/explore/public/anthropology-a4bd31d3-9ba4-46c3-8304-912d8aac0a6c/media/inequality-and-migration/svg/2Social Inequality and Global Migration diagram 2Social Inequality and Global Migration - Anthropology - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10"/> </pattern> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Decorative Header Line --> <rect x="40" y="85" width="820" height="1" fill="url(#accentGrad)" opacity="0.5"/> <!-- Title Section --> <text x="40" y="55" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">FORMING FAMILY</text> <text x="310" y="53" font-family="sans-serif" font-weight="400" font-size="16" fill="#94a3b8">Kinship, Gender, and Sexuality: The Social Operating System</text> <!-- Column 1: Kinship Foundations --> <rect x="40" y="110" width="260" height="410" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="145" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">I. KINSHIP TYPES</text> <text x="60" y="165" font-family="sans-serif" font-size="12" fill="#94a3b8">The logic of social connection</text> <!-- Consanguineal --> <circle cx="75" cy="210" r="15" fill="#f59e0b20" stroke="#f59e0b" stroke-width="2"/> <path d="M70 210 L80 210 M75 205 L75 215" stroke="#f59e0b" stroke-width="2"/> <text x="100" y="205" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Consanguineal</text> <text x="100" y="220" font-family="sans-serif" font-size="11" fill="#94a3b8">Related by "blood" or descent.</text> <!-- Affinal --> <circle cx="68" cy="270" r="12" fill="none" stroke="#38bdf8" stroke-width="2"/> <circle cx="82" cy="270" r="12" fill="none" stroke="#38bdf8" stroke-width="2"/> <text x="100" y="265" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Affinal</text> <text x="100" y="280" font-family="sans-serif" font-size="11" fill="#94a3b8">Related by marriage/contract.</text> <!-- Fictive --> <path d="M75 315 L85 335 L65 335 Z" fill="#e879f920" stroke="#e879f9" stroke-width="2"/> <text x="100" y="325" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Fictive</text> <text x="100" y="340" font-family="sans-serif" font-size="11" fill="#94a3b8">Chosen family &amp; ritual bonds.</text> <!-- Column 2: Descent Systems --> <rect x="320" y="110" width="260" height="410" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="340" y="145" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">II. DESCENT LOGIC</text> <!-- Patrilineal --> <g transform="translate(340, 180)"> <rect width="220" height="60" rx="8" fill="#ffffff05"/> <circle cx="25" cy="30" r="12" fill="#38bdf820" stroke="#38bdf8"/> <path d="M25 22 V38 M20 27 L25 22 L30 27" fill="none" stroke="#38bdf8" stroke-width="2"/> <text x="50" y="25" font-family="sans-serif" font-weight="600" font-size="13" fill="#f8fafc">Patrilineal</text> <text x="50" y="42" font-family="sans-serif" font-size="11" fill="#94a3b8">Traced through the male line.</text> </g> <!-- Matrilineal --> <g transform="translate(340, 255)"> <rect width="220" height="60" rx="8" fill="#ffffff05"/> <circle cx="25" cy="30" r="12" fill="#e879f920" stroke="#e879f9"/> <path d="M25 22 V38 M20 33 L25 38 L30 33" fill="none" stroke="#e879f9" stroke-width="2"/> <text x="50" y="25" font-family="sans-serif" font-weight="600" font-size="13" fill="#f8fafc">Matrilineal</text> <text x="50" y="42" font-family="sans-serif" font-size="11" fill="#94a3b8">Traced through the female line.</text> </g> <!-- Bilateral --> <g transform="translate(340, 330)"> <rect width="220" height="60" rx="8" fill="#ffffff05"/> <path d="M15 30 L25 20 L35 30 L25 40 Z" fill="#f59e0b20" stroke="#f59e0b"/> <text x="50" y="25" font-family="sans-serif" font-weight="600" font-size="13" fill="#f8fafc">Bilateral</text> <text x="50" y="42" font-family="sans-serif" font-size="11" fill="#94a3b8">Traced through both parents.</text> </g> <!-- Column 3: Alliance & Rules --> <rect x="600" y="110" width="260" height="410" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="620" y="145" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">III. ALLIANCE THEORY</text> <g transform="translate(620, 180)"> <text x="0" y="0" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Exogamy</text> <text x="0" y="18" font-family="sans-serif" font-size="12" fill="#94a3b8">Marrying outside the group.</text> <path d="M0 30 H220" stroke="#ffffff20" stroke-dasharray="4"/> <text x="0" y="60" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Endogamy</text> <text x="0" y="78" font-family="sans-serif" font-size="12" fill="#94a3b8">Marrying within the group.</text> <path d="M0 90 H220" stroke="#ffffff20" stroke-dasharray="4"/> <text x="0" y="120" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Incest Taboo</text> <text x="0" y="138" font-family="sans-serif" font-size="12" fill="#94a3b8" width="200">Universal cultural prohibition.</text> </g> <!-- Bottom Formula/Code Visual --> <rect x="620" y="360" width="220" height="130" rx="8" fill="#00000030"/> <text x="635" y="385" font-family="monospace" font-size="11" fill="#38bdf8"># Kinship Distance</text> <text x="635" y="405" font-family="monospace" font-size="11" fill="#f8fafc">def calculate_r(path):</text> <text x="635" y="420" font-family="monospace" font-size="11" fill="#f8fafc"> return sum(0.5 ** L)</text> <text x="635" y="450" font-family="serif" font-style="italic" font-size="14" fill="#94a3b8">r = Σ (0.5)^L</text> <text x="635" y="475" font-family="sans-serif" font-size="10" fill="#64748b">Coefficient of Relationship</text> <!-- Decorative Elements --> <circle cx="850" cy="50" r="30" fill="none" stroke="#ffffff05" stroke-width="8"/> <circle cx="850" cy="50" r="15" fill="none" stroke="#ffffff05" stroke-width="4"/> <path d="M40 540 H860" stroke="#ffffff10" stroke-width="2"/> <text x="450" y="545" font-family="sans-serif" font-size="10" fill="#475569" text-anchor="middle">ANTHROPOLOGICAL PERSPECTIVES ON SOCIAL STRUCTURE</text> </svg>Forming Family: Kinship, Gender, and Sexuality image 1Forming Family: Kinship, Gender, and Sexuality - Anthropology - image 1https://www.getlykke.com/explore/public/anthropology-a4bd31d3-9ba4-46c3-8304-912d8aac0a6c/media/kinship-gender-sexuality/svg/1Forming Family: Kinship, Gender, and Sexuality diagram 1Forming Family: Kinship, Gender, and Sexuality - Anthropology - diagram 1https://www.getlykke.com/explore/public/anthropology-a4bd31d3-9ba4-46c3-8304-912d8aac0a6c/media/kinship-gender-sexuality/svg/2Forming Family: Kinship, Gender, and Sexuality diagram 2Forming Family: Kinship, Gender, and Sexuality - Anthropology - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="3" result="blur"/> <feComposite in="SourceGraphic" in2="blur" operator="over"/> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Header Section --> <text x="40" y="60" font-family="sans-serif" font-size="32" font-weight="800" fill="#f8fafc" letter-spacing="-0.5">RELIGION, ART, &amp; EXPRESSIVE CULTURE</text> <text x="40" y="85" font-family="sans-serif" font-size="14" fill="#94a3b8" font-weight="400">The primary mechanisms through which human beings construct meaning and negotiate power.</text> <line x1="40" y1="105" x2="860" y2="105" stroke="#ffffff20" stroke-width="1"/> <!-- Left Column: The Architecture of Ritual --> <rect x="40" y="130" width="400" height="390" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="160" font-family="sans-serif" font-size="18" font-weight="700" fill="#38bdf8">THE ARCHITECTURE OF RITUAL</text> <text x="60" y="180" font-family="sans-serif" font-size="12" fill="#94a3b8">The Tripartite Structure (Van Gennep &amp; Turner)</text> <!-- Ritual Steps --> <!-- Step 1 --> <circle cx="80" cy="225" r="18" fill="#ffffff15" stroke="#f59e0b" stroke-width="2"/> <text x="76" y="230" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f59e0b">1</text> <text x="110" y="220" font-family="sans-serif" font-size="15" font-weight="600" fill="#f8fafc">Separation</text> <text x="110" y="235" font-family="sans-serif" font-size="11" fill="#94a3b8">Stripping of previous social identity.</text> <line x1="80" y1="243" x2="80" y2="277" stroke="#ffffff20" stroke-dasharray="4 2"/> <!-- Step 2 --> <circle cx="80" cy="300" r="18" fill="#ffffff15" stroke="#e879f9" stroke-width="2" filter="url(#glow)"/> <text x="76" y="305" font-family="sans-serif" font-size="14" font-weight="bold" fill="#e879f9">2</text> <text x="110" y="295" font-family="sans-serif" font-size="15" font-weight="600" fill="#f8fafc">Liminality</text> <text x="110" y="310" font-family="sans-serif" font-size="11" fill="#94a3b8">The "Betwixt and Between" phase. Status: None.</text> <line x1="80" y1="318" x2="80" y2="352" stroke="#ffffff20" stroke-dasharray="4 2"/> <!-- Step 3 --> <circle cx="80" cy="375" r="18" fill="#ffffff15" stroke="#38bdf8" stroke-width="2"/> <text x="76" y="380" font-family="sans-serif" font-size="14" font-weight="bold" fill="#38bdf8">3</text> <text x="110" y="370" font-family="sans-serif" font-size="15" font-weight="600" fill="#f8fafc">Incorporation</text> <text x="110" y="385" font-family="sans-serif" font-size="11" fill="#94a3b8">Re-entry into society with a new status.</text> <!-- Communitas Box --> <rect x="60" y="420" width="360" height="80" rx="12" fill="#e879f910" stroke="#e879f930"/> <text x="75" y="445" font-family="sans-serif" font-size="14" font-weight="bold" fill="#e879f9">COMMUNITAS</text> <text x="75" y="465" font-family="sans-serif" font-size="11" fill="#f8fafc">Intense togetherness and equality emerging</text> <text x="75" y="480" font-family="sans-serif" font-size="11" fill="#f8fafc">during the liminal phase, transcending hierarchy.</text> <!-- Right Column: Symbolism & Semiotics --> <rect x="460" y="130" width="400" height="240" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="480" y="160" font-family="sans-serif" font-size="18" font-weight="700" fill="#f59e0b">SYMBOLIC DENSITY</text> <!-- Formula Visualization --> <rect x="480" y="180" width="360" height="60" rx="8" fill="#00000030"/> <text x="500" y="215" font-family="serif" font-size="20" fill="#f8fafc" font-style="italic">Δs = ∫ (M · R) dC</text> <text x="680" y="205" font-family="sans-serif" font-size="10" fill="#94a3b8">M: Multivocality</text> <text x="680" y="220" font-family="sans-serif" font-size="10" fill="#94a3b8">R: Resonance</text> <text x="680" y="235" font-family="sans-serif" font-size="10" fill="#94a3b8">C: Cultural Field</text> <!-- Multivocality Diagram --> <circle cx="530" cy="310" r="25" fill="#f59e0b20" stroke="#f59e0b" stroke-width="2"/> <text x="515" y="315" font-family="sans-serif" font-size="10" font-weight="bold" fill="#f59e0b">SYMBOL</text> <!-- Radiating meanings --> <line x1="555" y1="310" x2="590" y2="290" stroke="#f59e0b" stroke-width="1"/> <text x="600" y="288" font-family="sans-serif" font-size="11" fill="#f8fafc">History</text> <line x1="555" y1="310" x2="590" y2="310" stroke="#f59e0b" stroke-width="1"/> <text x="600" y="315" font-family="sans-serif" font-size="11" fill="#f8fafc">Fertility</text> <line x1="555" y1="310" x2="590" y2="330" stroke="#f59e0b" stroke-width="1"/> <text x="600" y="340" font-family="sans-serif" font-size="11" fill="#f8fafc">Law</text> <text x="670" y="315" font-family="sans-serif" font-size="12" font-style="italic" fill="#94a3b8">"Multivocality: One form,</text> <text x="670" y="330" font-family="sans-serif" font-size="12" font-style="italic" fill="#94a3b8">many meanings."</text> <!-- Bottom Right: Semiotics Table --> <rect x="460" y="390" width="400" height="130" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="480" y="420" font-family="sans-serif" font-size="14" font-weight="700" fill="#38bdf8">SEMIOTIC LOGIC</text> <line x1="480" y1="435" x2="840" y2="435" stroke="#ffffff10"/> <text x="480" y="455" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f8fafc">SIGNIFIER</text> <text x="600" y="455" font-family="sans-serif" font-size="12" fill="#94a3b8">The physical form (e.g., a sound or image)</text> <text x="480" y="485" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f8fafc">SIGNIFIED</text> <text x="600" y="485" font-family="sans-serif" font-size="12" fill="#94a3b8">The mental concept or cultural meaning</text> <text x="480" y="505" font-family="sans-serif" font-size="10" font-style="italic" fill="#38bdf8">The link between them is arbitrary and culturally defined.</text> <!-- Decorative Corner Accents --> <path d="M860 40 L880 40 L880 60" fill="none" stroke="#f59e0b" stroke-width="2"/> <path d="M40 520 L20 520 L20 500" fill="none" stroke="#38bdf8" stroke-width="2"/> </svg>Religion, Art, and Expressive Culture image 1Religion, Art, and Expressive Culture - Anthropology - image 1https://www.getlykke.com/explore/public/anthropology-a4bd31d3-9ba4-46c3-8304-912d8aac0a6c/media/religion-and-expressive-culture/svg/1Religion, Art, and Expressive Culture diagram 1Religion, Art, and Expressive Culture - Anthropology - diagram 1https://www.getlykke.com/explore/public/anthropology-a4bd31d3-9ba4-46c3-8304-912d8aac0a6c/media/religion-and-expressive-culture/svg/2Religion, Art, and Expressive Culture diagram 2Religion, Art, and Expressive Culture - Anthropology - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="40" y="60" font-family="Arial, sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="-0.5">MEDICAL ANTHROPOLOGY</text> <text x="40" y="90" font-family="Arial, sans-serif" font-weight="400" font-size="18" fill="#38bdf8" letter-spacing="1">INDIGENOUS EXPERIENCES &amp; DECOLONIAL HEALTH</text> <line x1="40" y1="110" x2="860" y2="110" stroke="#ffffff20" stroke-width="1"/> <!-- Section 1: Biocultural Synthesis --> <rect x="40" y="135" width="260" height="220" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <circle cx="75" cy="170" r="18" fill="#f59e0b20" stroke="#f59e0b" stroke-width="2"/> <path d="M 68 170 L 82 170 M 75 163 L 75 177" stroke="#f59e0b" stroke-width="2"/> <text x="105" y="175" font-family="Arial, sans-serif" font-weight="700" font-size="18" fill="#f59e0b">BIOCULTURAL</text> <text x="60" y="210" font-family="Arial, sans-serif" font-size="13" fill="#f8fafc" font-weight="600">The Multi-Scalar System</text> <text x="60" y="235" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8"> <tspan x="60" dy="0">Rejects Cartesian dualism. Health</tspan> <tspan x="60" dy="18">is a feedback loop between</tspan> <tspan x="60" dy="18">biological plasticity and cultural</tspan> <tspan x="60" dy="18">adaptation. Pathogens meet</tspan> <tspan x="60" dy="18">socioeconomic reality.</tspan> </text> <path d="M 60 330 Q 170 310 280 330" fill="none" stroke="#f59e0b40" stroke-width="2" stroke-dasharray="4 2"/> <!-- Section 2: The Syndemic Model --> <rect x="320" y="135" width="260" height="220" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <path d="M 345 180 L 360 155 L 375 180 Z" fill="#e879f920" stroke="#e879f9" stroke-width="2"/> <text x="385" y="175" font-family="Arial, sans-serif" font-weight="700" font-size="18" fill="#e879f9">SYNDEMICS</text> <text x="340" y="210" font-family="Arial, sans-serif" font-size="13" fill="#f8fafc" font-weight="600">Biological Social Suffering</text> <rect x="340" y="225" width="220" height="100" rx="8" fill="#00000030"/> <text x="350" y="245" font-family="Arial, sans-serif" font-size="12" fill="#e879f9" font-weight="bold">Disease A + Disease B</text> <text x="350" y="265" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Interacting with:</text> <text x="350" y="285" font-family="Arial, sans-serif" font-size="12" fill="#f8fafc">Structural Inequality</text> <text x="350" y="305" font-family="Arial, sans-serif" font-size="12" fill="#f8fafc">Environmental Stress</text> <!-- Section 3: OCAP Principles --> <rect x="600" y="135" width="260" height="220" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <rect x="620" y="155" width="30" height="30" rx="4" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <text x="660" y="175" font-family="Arial, sans-serif" font-weight="700" font-size="18" fill="#38bdf8">OCAP DATA</text> <g font-family="Arial, sans-serif" font-size="12" font-weight="bold"> <rect x="620" y="200" width="105" height="25" rx="4" fill="#38bdf815"/> <text x="628" y="217" fill="#38bdf8">OWNERSHIP</text> <rect x="735" y="200" width="105" height="25" rx="4" fill="#38bdf815"/> <text x="743" y="217" fill="#38bdf8">CONTROL</text> <rect x="620" y="235" width="105" height="25" rx="4" fill="#38bdf815"/> <text x="628" y="252" fill="#38bdf8">ACCESS</text> <rect x="735" y="235" width="105" height="25" rx="4" fill="#38bdf815"/> <text x="743" y="252" fill="#38bdf8">POSSESSION</text> </g> <text x="620" y="285" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8"> <tspan x="620" dy="0">Dismantling "Helicopter</tspan> <tspan x="620" dy="18">Research" through Indigenous</tspan> <tspan x="620" dy="18">Data Sovereignty.</tspan> </text> <!-- Bottom Section: Structural Violence --> <rect x="40" y="375" width="820" height="150" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="70" y="410" font-family="Arial, sans-serif" font-weight="700" font-size="20" fill="#f8fafc">STRUCTURAL VIOLENCE &amp; WEATHERING</text> <!-- Visualizing the "Weathering" concept --> <path d="M 70 480 L 150 470 L 230 485 L 310 460 L 390 475 L 470 440 L 550 455 L 630 420" fill="none" stroke="#f59e0b" stroke-width="3" filter="url(#glow)"/> <circle cx="630" cy="420" r="5" fill="#f59e0b"/> <text x="450" y="410" font-family="Arial, sans-serif" font-size="13" fill="#94a3b8"> <tspan x="450" dy="25">Social arrangements that harm populations by preventing basic needs.</tspan> <tspan x="450" dy="20">"Weathering" is the premature biological aging caused by the cumulative</tspan> <tspan x="450" dy="20">impact of social, economic, and political adversity (Paul Farmer).</tspan> </text> <!-- Decorative Elements --> <circle cx="840" cy="60" r="20" fill="#e879f920"/> <circle cx="840" cy="60" r="10" fill="#e879f940"/> <g opacity="0.4"> <circle cx="800" cy="500" r="3" fill="#38bdf8"/> <circle cx="820" cy="500" r="3" fill="#38bdf8"/> <circle cx="840" cy="500" r="3" fill="#38bdf8"/> </g> <!-- Footer Label --> <rect x="720" y="520" width="140" height="24" rx="12" fill="#38bdf8"/> <text x="790" y="537" font-family="Arial, sans-serif" font-weight="bold" font-size="11" fill="#0f172a" text-anchor="middle">SOCIAL JUSTICE FOCUS</text> </svg>Medical Anthropology and Indigenous Experiences image 1Medical Anthropology and Indigenous Experiences - Anthropology - image 1https://www.getlykke.com/explore/public/anthropology-a4bd31d3-9ba4-46c3-8304-912d8aac0a6c/media/medical-and-indigenous-anthropology/svg/1Medical Anthropology and Indigenous Experiences diagram 1Medical Anthropology and Indigenous Experiences - Anthropology - diagram 1https://www.getlykke.com/explore/public/anthropology-a4bd31d3-9ba4-46c3-8304-912d8aac0a6c/media/medical-and-indigenous-anthropology/svg/2Medical Anthropology and Indigenous Experiences diagram 2Medical Anthropology and Indigenous Experiences - Anthropology - diagram 2https://www.getlykke.com/explore/public/principles-of-macroeconomics-0555c62a-12dd-4b40-b6fe-b39608198a3f2026-04-20T05:05:43.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="cardGrad" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#ffffff1a"/> <stop offset="100%" stop-color="#ffffff05"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background Layer --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="40" y="50" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="-0.025em">FOUNDATIONS OF MACROECONOMICS</text> <text x="40" y="75" font-family="sans-serif" font-size="14" fill="#94a3b8" font-weight="500" text-transform="uppercase" letter-spacing="0.1em">The Study of Choice Under Constraint</text> <line x1="40" y1="95" x2="860" y2="95" stroke="#334155" stroke-width="1"/> <!-- Left Column: The Economic Problem --> <rect x="40" y="115" width="260" height="200" rx="16" fill="url(#cardGrad)" stroke="#ffffff10" stroke-width="1"/> <text x="60" y="145" font-family="sans-serif" font-size="18" font-weight="700" fill="#38bdf8">The Axiom of Scarcity</text> <text x="60" y="170" font-family="sans-serif" font-size="12" fill="#cbd5e1" width="220"> <tspan x="60" dy="0">A permanent, structural gap between</tspan> <tspan x="60" dy="18">limitless human wants and the</tspan> <tspan x="60" dy="18">finite resources of our world.</tspan> </text> <!-- Scarcity Visual --> <circle cx="100" cy="260" r="30" fill="none" stroke="#f59e0b" stroke-width="2" stroke-dasharray="4 2"/> <text x="100" y="264" font-family="sans-serif" font-size="10" fill="#f59e0b" text-anchor="middle" font-weight="bold">RESOURCES</text> <path d="M 140 260 L 170 260" stroke="#94a3b8" stroke-width="2" marker-end="url(#arrow)"/> <circle cx="210" cy="260" r="45" fill="none" stroke="#e879f9" stroke-width="2"/> <text x="210" y="264" font-family="sans-serif" font-size="10" fill="#e879f9" text-anchor="middle" font-weight="bold">WANTS</text> <!-- Center: Factors of Production --> <text x="320" y="135" font-family="sans-serif" font-size="16" font-weight="700" fill="#f8fafc">Factors of Production</text> <!-- Land --> <rect x="320" y="150" width="120" height="75" rx="12" fill="#ffffff08" stroke="#10b98133" stroke-width="1"/> <text x="335" y="175" font-family="sans-serif" font-size="14" font-weight="700" fill="#10b981">LAND</text> <text x="335" y="195" font-family="sans-serif" font-size="11" fill="#94a3b8">Natural Resources</text> <text x="335" y="210" font-family="sans-serif" font-size="10" fill="#10b981" font-weight="bold">Return: Rent</text> <!-- Labor --> <rect x="450" y="150" width="120" height="75" rx="12" fill="#ffffff08" stroke="#38bdf833" stroke-width="1"/> <text x="465" y="175" font-family="sans-serif" font-size="14" font-weight="700" fill="#38bdf8">LABOR</text> <text 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fill="#f59e0b"/> <text x="67" y="-25" font-family="sans-serif" font-size="10" fill="#f59e0b">C (Inefficient)</text> <circle cx="180" cy="-100" r="4" fill="#e879f9"/> <text x="187" y="-105" font-family="sans-serif" font-size="10" fill="#e879f9">D (Unattainable)</text> </g> <!-- PPF Description --> <text x="400" y="370" font-family="sans-serif" font-size="18" font-weight="700" fill="#f8fafc">Production Possibilities Frontier (PPF)</text> <text x="400" y="395" font-family="sans-serif" font-size="12" fill="#cbd5e1"> <tspan x="400" dy="0">• Points on the curve represent maximum productive efficiency.</tspan> <tspan x="400" dy="22">• The concave shape illustrates the Law of Increasing Opportunity Costs.</tspan> <tspan x="400" dy="22">• Outward shifts represent economic growth via technology or resources.</tspan> <tspan x="400" dy="22">• Trade-offs: Moving from A to B increases consumer goods but reduces capital.</tspan> </text> <!-- Marginal Analysis Badge --> <rect x="680" y="465" width="160" height="40" rx="20" fill="#38bdf822" stroke="#38bdf8" stroke-width="1"/> <text x="760" y="490" font-family="sans-serif" font-size="12" font-weight="bold" fill="#38bdf8" text-anchor="middle">MARGINAL ANALYSIS: MB ≥ MC</text> <!-- Decorative elements --> <circle cx="850" cy="50" r="30" fill="#e879f9" fill-opacity="0.1"/> <circle cx="850" cy="50" r="15" fill="#e879f9" fill-opacity="0.2"/> </svg>Foundations of Macroeconomics and Choice image 1Foundations of Macroeconomics and Choice - Principles of Macroeconomics - image 1https://www.getlykke.com/explore/public/principles-of-macroeconomics-0555c62a-12dd-4b40-b6fe-b39608198a3f/media/foundations-of-macroeconomics/svg/1Foundations of Macroeconomics and Choice diagram 1Foundations of Macroeconomics and Choice - Principles of Macroeconomics - diagram 1https://www.getlykke.com/explore/public/principles-of-macroeconomics-0555c62a-12dd-4b40-b6fe-b39608198a3f/media/foundations-of-macroeconomics/svg/2Foundations of Macroeconomics and Choice diagram 2Foundations of Macroeconomics and Choice - Principles of Macroeconomics - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10" /> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Header Section --> <text x="450" y="60" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-weight="800" font-size="32" letter-spacing="1">MARKET MECHANICS &amp; MACROECONOMIC GOALS</text> <text x="450" y="85" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="14" font-weight="400" letter-spacing="2">THE INTEGRATED SYSTEM OF NATIONAL ECONOMIC HEALTH</text> <rect x="400" y="95" width="100" height="3" fill="#f59e0b" rx="1.5"/> <!-- Left Card: Micro Foundations --> <rect x="40" y="130" width="260" height="380" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="60" y="165" fill="#38bdf8" font-family="sans-serif" font-weight="700" font-size="18">01. MICRO-FOUNDATIONS</text> <text x="60" y="185" fill="#94a3b8" font-family="sans-serif" font-size="12">The Market Mechanism</text> <!-- Supply/Demand Mini Graph --> <g transform="translate(70, 210)"> <line x1="0" y1="100" x2="120" y2="100" stroke="#94a3b8" stroke-width="1"/> <line x1="0" y1="0" x2="0" y2="100" stroke="#94a3b8" stroke-width="1"/> <!-- Demand --> <path d="M 10 10 L 110 90" stroke="#38bdf8" stroke-width="3" fill="none"/> <text x="115" y="95" fill="#38bdf8" font-family="sans-serif" font-size="10" font-weight="bold">D</text> <!-- Supply --> <path d="M 10 90 L 110 10" stroke="#f59e0b" stroke-width="3" fill="none"/> <text x="115" y="15" fill="#f59e0b" font-family="sans-serif" font-size="10" font-weight="bold">S</text> <!-- Equilibrium --> <circle cx="60" cy="50" r="4" fill="#f8fafc" filter="url(#glow)"/> <line x1="60" y1="50" x2="60" y2="100" stroke="#f8fafc" stroke-dasharray="3,3" stroke-width="1"/> <line x1="0" y1="50" x2="60" y2="50" stroke="#f8fafc" stroke-dasharray="3,3" stroke-width="1"/> <text x="65" y="45" fill="#f8fafc" font-family="serif" font-style="italic" font-size="12">E*</text> </g> <text x="60" y="345" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="14">Equilibrium Price (P*)</text> <text x="60" y="365" fill="#94a3b8" font-family="sans-serif" font-size="12" width="220">The point where Quantity Supplied</text> <text x="60" y="380" fill="#94a3b8" font-family="sans-serif" font-size="12">equals Quantity Demanded.</text> <rect x="60" y="405" width="220" height="85" rx="8" fill="#38bdf810"/> <text x="75" y="430" fill="#38bdf8" font-family="serif" font-style="italic" font-size="14">Qd = α - βP</text> <text x="75" y="455" fill="#f59e0b" font-family="serif" font-style="italic" font-size="14">Qs = γ + δP</text> <text x="75" y="480" fill="#f8fafc" font-family="sans-serif" font-weight="bold" font-size="11">SOLVE: α - βP = γ + δP</text> <!-- Middle Card: GDP & Growth --> <rect x="320" y="130" width="260" height="380" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="340" y="165" fill="#4ade80" font-family="sans-serif" font-weight="700" font-size="18">02. ECONOMIC OUTPUT</text> <text x="340" y="185" fill="#94a3b8" font-family="sans-serif" font-size="12">Gross Domestic Product (GDP)</text> <!-- GDP Components Visual --> <g transform="translate(340, 210)"> <rect x="0" y="0" width="220" height="30" rx="4" fill="#4ade8020" stroke="#4ade80" stroke-width="1"/> <text x="110" y="20" text-anchor="middle" fill="#f8fafc" font-family="serif" font-weight="bold" font-size="16">GDP = C + I + G + NX</text> <g transform="translate(0, 50)"> <circle cx="15" cy="15" r="15" fill="#38bdf820" stroke="#38bdf8"/> <text x="15" y="20" text-anchor="middle" fill="#38bdf8" font-weight="bold" font-size="12">C</text> <text x="40" y="18" fill="#f8fafc" font-size="12" font-weight="600">Consumption</text> <circle cx="15" cy="55" r="15" fill="#e879f920" stroke="#e879f9"/> <text x="15" y="60" text-anchor="middle" fill="#e879f9" font-weight="bold" font-size="12">I</text> <text x="40" y="58" fill="#f8fafc" font-size="12" font-weight="600">Investment</text> <circle cx="15" cy="95" r="15" fill="#f59e0b20" stroke="#f59e0b"/> <text x="15" y="100" text-anchor="middle" fill="#f59e0b" font-weight="bold" font-size="12">G</text> <text x="40" y="98" fill="#f8fafc" font-size="12" font-weight="600">Government</text> <circle cx="15" cy="135" r="15" fill="#94a3b820" stroke="#94a3b8"/> <text x="15" y="140" text-anchor="middle" fill="#94a3b8" font-weight="bold" font-size="12">NX</text> <text x="40" y="138" fill="#f8fafc" font-size="12" font-weight="600">Net Exports</text> </g> </g> <rect x="340" y="405" width="220" height="85" rx="8" fill="#4ade8010"/> <text x="355" y="430" fill="#4ade80" font-family="sans-serif" font-weight="bold" font-size="13">REAL VS. NOMINAL</text> <text x="355" y="450" fill="#94a3b8" font-family="sans-serif" font-size="11">Nominal: Current Prices</text> <text x="355" y="465" fill="#94a3b8" font-family="sans-serif" font-size="11">Real: Base Year (Inflation Adjusted)</text> <text x="355" y="482" fill="#f8fafc" font-family="serif" font-size="11">Deflator = (Nominal / Real) × 100</text> <!-- Right Card: Human Capital --> <rect x="600" y="130" width="260" height="380" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="620" y="165" fill="#e879f9" font-family="sans-serif" font-weight="700" font-size="18">03. HUMAN CAPITAL</text> <text x="620" y="185" fill="#94a3b8" font-family="sans-serif" font-size="12">Unemployment &amp; Stability</text> <!-- Stability Gauge --> <g transform="translate(650, 210)"> <path d="M 0 80 A 60 60 0 0 1 120 80" fill="none" stroke="#ffffff15" stroke-width="12" stroke-linecap="round"/> <path d="M 0 80 A 60 60 0 0 1 40 25" fill="none" stroke="#e879f9" stroke-width="12" stroke-linecap="round" filter="url(#glow)"/> <text x="60" y="75" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-weight="800" font-size="20">4.2%</text> <text x="60" y="95" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10">UNEMPLOYMENT</text> </g> <g transform="translate(620, 320)"> <text x="0" y="20" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="14">The Three Pillars of Stability</text> <rect x="0" y="35" width="220" height="1" fill="#ffffff15"/> <circle cx="10" cy="55" r="4" fill="#e879f9"/> <text x="25" y="60" fill="#f8fafc" font-size="12">Frictional: Job searching</text> <circle cx="10" cy="80" r="4" fill="#e879f9"/> <text x="25" y="85" fill="#f8fafc" font-size="12">Structural: Skill mismatch</text> <circle cx="10" cy="105" r="4" fill="#e879f9"/> <text x="25" y="110" fill="#f8fafc" font-size="12">Cyclical: Economic downturns</text> </g> <rect x="620" y="445" width="220" height="45" rx="8" fill="#e879f910"/> <text x="635" y="465" fill="#e879f9" font-family="sans-serif" font-weight="bold" font-size="11">PRICE STABILITY</text> <text x="635" y="480" fill="#94a3b8" font-family="sans-serif" font-size="11">Target Inflation: ~2% per annum</text> <!-- Bottom Connector --> <path d="M 170 510 L 170 530 L 730 530 L 730 510" fill="none" stroke="#ffffff15" stroke-width="2"/> <circle cx="450" cy="530" r="20" fill="#1e1b4b" stroke="#ffffff15" stroke-width="2"/> <text x="450" y="535" text-anchor="middle" fill="#f59e0b" font-family="sans-serif" font-weight="bold" font-size="14">Σ</text> <!-- Footer --> <text x="860" y="545" text-anchor="end" fill="#ffffff20" font-family="sans-serif" font-size="10" font-weight="bold">WIKI.ECON.4.1 // SYSTEM OVERVIEW</text> </svg>Market Mechanics and Macroeconomic Goals image 1Market Mechanics and Macroeconomic Goals - Principles of Macroeconomics - image 1https://www.getlykke.com/explore/public/principles-of-macroeconomics-0555c62a-12dd-4b40-b6fe-b39608198a3f/media/market-mechanics-and-goals/svg/1Market Mechanics and Macroeconomic Goals diagram 1Market Mechanics and Macroeconomic Goals - Principles of Macroeconomics - diagram 1https://www.getlykke.com/explore/public/principles-of-macroeconomics-0555c62a-12dd-4b40-b6fe-b39608198a3f/media/market-mechanics-and-goals/svg/2Market Mechanics and Macroeconomic Goals diagram 2Market Mechanics and Macroeconomic Goals - Principles of Macroeconomics - diagram 2https://www.getlykke.com/explore/public/principles-of-macroeconomics-0555c62a-12dd-4b40-b6fe-b39608198a3f/media/market-mechanics-and-goals/svg/3Market Mechanics and Macroeconomic Goals diagram 3Market Mechanics and Macroeconomic Goals - Principles of Macroeconomics - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Header Section --> <text x="40" y="60" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">Macroeconomic Models &amp; Perspectives</text> <text x="40" y="85" font-family="sans-serif" font-size="14" fill="#94a3b8" letter-spacing="1">THE AGGREGATE DEMAND / AGGREGATE SUPPLY FRAMEWORK</text> <rect x="40" y="100" width="120" height="4" rx="2" fill="#38bdf8"/> <!-- Left Panel: Aggregate Demand --> <rect x="40" y="130" width="260" height="390" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="165" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">Aggregate Demand (AD)</text> <text x="60" y="185" font-family="sans-serif" font-size="12" fill="#94a3b8">Total spending on domestic goods</text> <text x="60" y="220" font-family="serif" font-style="italic" font-size="18" fill="#f8fafc">AD = C + I + G + (X - M)</text> <!-- AD Components --> <g transform="translate(60, 250)"> <circle cx="15" cy="15" r="15" fill="#38bdf820" stroke="#38bdf8" stroke-width="1"/> <text x="15" y="20" text-anchor="middle" font-family="sans-serif" font-size="12" fill="#38bdf8" font-weight="bold">C</text> <text x="45" y="12" font-family="sans-serif" font-size="13" fill="#f8fafc" font-weight="600">Consumption</text> <text x="45" y="26" font-family="sans-serif" font-size="11" fill="#94a3b8">Wealth effect &amp; 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Fiscal Policy - Principles of Macroeconomics - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="cardGrad" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#ffffff15"/> <stop offset="100%" stop-color="#ffffff05"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#334155" fill-opacity="0.5"/> </pattern> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Decorative Header Line --> <rect x="40" y="70" width="820" height="1" fill="#334155"/> <rect x="40" y="70" width="150" height="2" fill="#38bdf8"/> <!-- Title Section --> <text x="40" y="50" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">GLOBALIZATION <tspan fill="#38bdf8">&amp;</tspan> ECONOMIC EDUCATION</text> <text x="860" y="50" font-family="sans-serif" font-size="14" font-weight="600" fill="#94a3b8" text-anchor="end">THE DUAL-AXIS EVOLUTION</text> <!-- Left Panel: Physical Integration --> <rect x="40" y="90" width="400" height="360" rx="16" fill="url(#cardGrad)" stroke="#ffffff10"/> <text x="60" y="125" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">PHYSICAL INTEGRATION</text> <text x="60" y="145" font-family="sans-serif" font-size="12" fill="#94a3b8">The mechanics of international trade and capital.</text> <!-- Comparative Advantage Graphic --> <rect x="60" y="170" width="360" height="80" rx="8" fill="#00000030"/> <text x="75" y="195" font-family="sans-serif" font-weight="700" font-size="14" 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stroke-dasharray="5,5"/> <path d="M-50 0 L50 0 M0 -50 L0 50" stroke="#334155" stroke-width="1"/> </g> <!-- Floating Tags --> <g transform="translate(40, 420)"> <rect width="90" height="20" rx="10" fill="#38bdf820" stroke="#38bdf8" stroke-width="1"/> <text x="45" y="14" font-family="sans-serif" font-size="10" fill="#38bdf8" text-anchor="middle">LIBERALIZATION</text> </g> <g transform="translate(140, 420)"> <rect width="90" height="20" rx="10" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1"/> <text x="45" y="14" font-family="sans-serif" font-size="10" fill="#f59e0b" text-anchor="middle">CAPITAL FLOW</text> </g> <g transform="translate(670, 420)"> <rect width="90" height="20" rx="10" fill="#e879f920" stroke="#e879f9" stroke-width="1"/> <text x="45" y="14" font-family="sans-serif" font-size="10" fill="#e879f9" text-anchor="middle">KNOWLEDGE SPILL</text> </g> <g transform="translate(770, 420)"> <rect width="90" height="20" rx="10" fill="#38bdf820" stroke="#38bdf8" stroke-width="1"/> 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2https://www.getlykke.com/explore/public/principles-of-macroeconomics-0555c62a-12dd-4b40-b6fe-b39608198a3f/media/globalization-and-oer-integration/svg/3Globalization and the Future of Economic Education diagram 3Globalization and the Future of Economic Education - Principles of Macroeconomics - diagram 3https://www.getlykke.com/explore/public/psychology-as-science-97871b29-599c-4d8f-b94b-7ee51ee9041c2026-04-20T05:04:23.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> <pattern 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Full Representation</text> <text x="70" y="253" fill="#94a3b8" font-family="sans-serif" font-size="11">Understanding False Beliefs</text> <!-- Connecting Line --> <line x1="30" y1="55" x2="30" y2="75" stroke="#ffffff20" stroke-width="2"/> <line x1="30" y1="125" x2="30" y2="145" stroke="#ffffff20" stroke-width="2"/> <line x1="30" y1="195" x2="30" y2="215" stroke="#ffffff20" stroke-width="2"/> </g> <!-- Bottom Quote/Insight --> <rect x="40" y="525" width="820" height="25" rx="4" fill="#f59e0b10"/> <text x="450" y="542" text-anchor="middle" fill="#f59e0b" font-family="sans-serif" font-size="11" font-style="italic" font-weight="500">"Cognition is the software layer mediating between raw sensory input and complex social output."</text> <!-- Decorative Elements --> <circle cx="850" cy="50" r="40" fill="#38bdf805" /> <circle cx="50" cy="510" r="60" fill="#e879f905" /> </svg>Cognition and Language image 1Cognition and Language - Psychology as Science - image 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fill="#10b98120" stroke="#10b981" stroke-width="1"/> <text x="60" y="25" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="12" fill="#10b981">SECURE</text> <text x="60" y="45" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#f8fafc">Responsive care.</text> <text x="60" y="58" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#f8fafc">Trusting, social,</text> <text x="60" y="71" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#f8fafc">high self-esteem.</text> <!-- Avoidant --> <rect x="130" y="0" width="120" height="100" rx="8" fill="#38bdf820" stroke="#38bdf8" stroke-width="1"/> <text x="190" y="25" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="12" fill="#38bdf8">AVOIDANT</text> <text x="190" y="45" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#f8fafc">Distant care.</text> <text x="190" y="58" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#f8fafc">Self-reliant,</text> <text x="190" y="71" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#f8fafc">hides emotion.</text> <!-- Ambivalent --> <rect x="0" y="110" width="120" height="100" rx="8" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1"/> <text x="60" y="135" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="12" fill="#f59e0b">AMBIVALENT</text> <text x="60" y="155" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#f8fafc">Inconsistent care.</text> <text x="60" y="168" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#f8fafc">Anxious, clingy,</text> <text x="60" y="181" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#f8fafc">fear of rejection.</text> <!-- Disorganized --> <rect x="130" y="110" width="120" height="100" rx="8" fill="#ef444420" stroke="#ef4444" stroke-width="1"/> <text x="190" y="135" text-anchor="middle" font-family="sans-serif" font-weight="700" 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height="420" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="625" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">PIAGET'S STAGES</text> <!-- Staircase Graphic --> <g transform="translate(630, 160)"> <!-- Stage 4 --> <rect x="140" y="0" width="80" height="40" rx="4" fill="#e879f9" fill-opacity="0.9"/> <text x="145" y="55" font-family="sans-serif" font-weight="700" font-size="11" fill="#f8fafc">FORMAL</text> <text x="145" y="68" font-family="sans-serif" font-size="9" fill="#94a3b8">12+ Years</text> <text x="145" y="80" font-family="sans-serif" font-size="9" fill="#f8fafc">Abstract Logic</text> <!-- Stage 3 --> <rect x="100" y="90" width="80" height="40" rx="4" fill="#e879f9" fill-opacity="0.7"/> <text x="105" y="145" font-family="sans-serif" font-weight="700" font-size="11" fill="#f8fafc">CONCRETE</text> <text x="105" y="158" font-family="sans-serif" font-size="9" fill="#94a3b8">7-11 Years</text> <text x="105" y="170" font-family="sans-serif" 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</g> <!-- Bottom Lifespan Bar --> <rect x="30" y="540" width="840" height="4" rx="2" fill="#ffffff10"/> <circle cx="30" cy="542" r="4" fill="#38bdf8"/> <circle cx="900" cy="542" r="4" fill="#e879f9" transform="translate(-30,0)"/> <text x="30" y="530" font-family="sans-serif" font-size="10" fill="#94a3b8">Infancy</text> <text x="450" y="530" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">Adulthood</text> <text x="870" y="530" text-anchor="end" font-family="sans-serif" font-size="10" fill="#94a3b8">Late Adulthood</text> </svg>Developmental Psychology image 1Developmental Psychology - Psychology as Science - image 1https://www.getlykke.com/explore/public/psychology-as-science-97871b29-599c-4d8f-b94b-7ee51ee9041c/media/developmental-psychology/svg/1Developmental Psychology diagram 1Developmental Psychology - Psychology as Science - diagram 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x="60" y="165" font-family="sans-serif" font-size="12" fill="#94a3b8">Subcortical mammalian circuits (Jaak Panksepp)</text> <!-- System List --> <g transform="translate(60, 190)"> <!-- Seeking --> <circle cx="10" cy="5" r="6" fill="#f59e0b"/> <text x="25" y="10" font-family="sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">SEEKING</text> <text x="100" y="10" font-family="sans-serif" font-size="11" fill="#94a3b8">Exploration &amp; Anticipation (Dopamine)</text> <!-- Fear --> <circle cx="10" cy="35" r="6" fill="#38bdf8"/> <text x="25" y="40" font-family="sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">FEAR</text> <text x="100" y="40" font-family="sans-serif" font-size="11" fill="#94a3b8">Survival through escape (Amygdala)</text> <!-- Rage --> <circle cx="10" cy="65" r="6" fill="#ef4444"/> <text x="25" y="70" font-family="sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">RAGE</text> <text x="100" y="70" font-family="sans-serif" font-size="11" fill="#94a3b8">Defense of resources/territory</text> <!-- Lust --> <circle cx="10" cy="95" r="6" fill="#e879f9"/> <text x="25" y="100" font-family="sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">LUST</text> <text x="100" y="100" font-family="sans-serif" font-size="11" fill="#94a3b8">Reproduction &amp; Species propagation</text> <!-- Care --> <circle cx="10" cy="125" r="6" fill="#4ade80"/> <text x="25" y="130" font-family="sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">CARE</text> <text x="100" y="130" font-family="sans-serif" font-size="11" fill="#94a3b8">Nurturing &amp; Maternal bonding</text> <!-- Panic --> <circle cx="10" cy="155" r="6" fill="#818cf8"/> <text x="25" y="160" font-family="sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">PANIC/GRIEF</text> <text x="120" y="160" font-family="sans-serif" font-size="11" fill="#94a3b8">Social loss &amp; Separation distress</text> <!-- Play --> <circle cx="10" cy="185" r="6" fill="#fbbf24"/> <text x="25" y="190" font-family="sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">PLAY</text> <text x="100" y="190" font-family="sans-serif" font-size="11" fill="#94a3b8">Social joy &amp; Boundary learning</text> </g> <!-- Quote Box --> <rect x="60" y="420" width="340" height="80" rx="8" fill="#00000020" stroke="#ffffff10"/> <text x="75" y="445" font-family="sans-serif" font-style="italic" font-size="12" fill="#cbd5e1">"Emotions are evolved survival programs</text> <text x="75" y="462" font-family="sans-serif" font-style="italic" font-size="12" fill="#cbd5e1">that coordinate physiological and</text> <text x="75" y="479" font-family="sans-serif" font-style="italic" font-size="12" fill="#cbd5e1">behavioral responses."</text> <!-- Right Panel Top: Reward Circuit --> <rect x="440" y="115" width="420" height="195" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="460" y="145" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">THE REWARD CIRCUIT</text> <text x="460" y="165" font-family="sans-serif" font-size="12" fill="#94a3b8">Mesolimbic Dopamine Pathway: "Wanting" vs "Liking"</text> <!-- Reward Diagram --> <path d="M480 260 Q550 200 620 260 T760 260" fill="none" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 2"/> <circle cx="480" cy="260" r="4" fill="#38bdf8"/> <!-- VTA --> <circle cx="760" cy="260" r="4" fill="#38bdf8"/> <!-- Nucleus Accumbens --> <text x="465" y="280" font-family="sans-serif" font-size="10" fill="#94a3b8">VTA</text> <text x="730" y="280" font-family="sans-serif" font-size="10" fill="#94a3b8">Nuc. Accumbens</text> <rect x="540" y="185" width="220" height="45" rx="8" fill="#f59e0b20" stroke="#f59e0b40"/> <text x="550" y="205" font-family="sans-serif" font-weight="bold" font-size="12" fill="#f59e0b">INCENTIVE SALIENCE</text> <text x="550" y="222" font-family="sans-serif" font-size="11" fill="#f8fafc">Dopamine signals "Wanting" (pursuit),</text> <text x="550" y="235" font-family="sans-serif" font-size="11" fill="#f8fafc">not necessarily "Liking" (pleasure).</text> <!-- Right Panel Bottom: Drive States --> <rect x="440" y="325" width="420" height="195" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="460" y="355" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">HOMEOSTATIC DRIVE</text> <!-- Cycle Diagram --> <g transform="translate(520, 425)"> <circle cx="0" cy="0" r="50" fill="none" stroke="#ffffff10" stroke-width="1"/> <!-- Arrows --> <path d="M0 -50 A50 50 0 0 1 50 0" fill="none" stroke="#e879f9" stroke-width="2" marker-end="url(#arrow)"/> <path d="M50 0 A50 50 0 0 1 0 50" fill="none" stroke="#e879f9" stroke-width="2"/> <path d="M0 50 A50 50 0 0 1 -50 0" fill="none" stroke="#e879f9" stroke-width="2"/> <path d="M-50 0 A50 50 0 0 1 0 -50" fill="none" stroke="#e879f9" stroke-width="2"/> <text x="0" y="-60" text-anchor="middle" font-family="sans-serif" font-size="10" font-weight="bold" fill="#f8fafc">NEED</text> <text x="65" y="5" text-anchor="start" font-family="sans-serif" font-size="10" font-weight="bold" fill="#f8fafc">DRIVE</text> <text x="0" y="70" text-anchor="middle" font-family="sans-serif" font-size="10" font-weight="bold" fill="#f8fafc">ACTION</text> <text x="-65" y="5" text-anchor="end" font-family="sans-serif" font-size="10" font-weight="bold" fill="#f8fafc">SATIATION</text> <circle cx="0" cy="0" r="15" fill="#e879f920" stroke="#e879f9" stroke-width="1"/> <text x="0" y="4" text-anchor="middle" font-family="sans-serif" font-size="8" fill="#f8fafc">STABLE</text> </g> <!-- Narrowing of Attention --> <g transform="translate(660, 370)"> <text x="0" y="0" font-family="sans-serif" font-weight="bold" font-size="12" fill="#f8fafc">Narrowing of Attention</text> <path d="M0 15 L140 15 L100 65 L40 65 Z" fill="#ffffff10" stroke="#ffffff20"/> <text x="70" y="35" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">Future Goals</text> <text x="70" y="58" text-anchor="middle" font-family="sans-serif" font-size="10" font-weight="bold" fill="#f59e0b">PRESENT NEED</text> <text x="0" y="85" font-family="sans-serif" font-size="10" fill="#94a3b8" width="140">Drive states collapse the</text> <text x="0" y="98" font-family="sans-serif" font-size="10" fill="#94a3b8">temporal horizon.</text> </g> <!-- Decorative Elements --> <circle cx="850" cy="50" r="30" fill="none" stroke="#ffffff05" stroke-width="8"/> <circle cx="850" cy="50" r="15" fill="none" stroke="#ffffff05" stroke-width="4"/> </svg>Emotions and Motivation image 1Emotions and Motivation - Psychology as Science - image 1https://www.getlykke.com/explore/public/psychology-as-science-97871b29-599c-4d8f-b94b-7ee51ee9041c/media/emotions-and-motivation/svg/1Emotions and Motivation diagram 1Emotions and Motivation - Psychology as Science - diagram 1https://www.getlykke.com/explore/public/psychology-as-science-97871b29-599c-4d8f-b94b-7ee51ee9041c/media/emotions-and-motivation/svg/2Emotions and Motivation diagram 2Emotions and Motivation - Psychology as Science - diagram 2https://www.getlykke.com/explore/public/psychology-as-science-97871b29-599c-4d8f-b94b-7ee51ee9041c/media/emotions-and-motivation/svg/3Emotions and Motivation diagram 3Emotions and Motivation - Psychology as Science - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#f59e0b"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <pattern id="grid" x="0" y="0" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="40" y="60" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="-1">LEARNING &amp; MEMORY</text> <text x="40" y="85" font-family="sans-serif" font-size="14" fill="#94a3b8" font-weight="400">THE ARCHITECTURE OF COGNITIVE PLASTICITY</text> <rect x="40" y="100" width="120" height="4" rx="2" fill="url(#accentGrad)"/> <!-- SECTION 1: ASSOCIATIVE LEARNING --> <rect x="40" y="130" width="400" height="390" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="65" y="165" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">I. ASSOCIATIVE LEARNING</text> <!-- Classical Conditioning Sub-panel --> <rect x="60" y="185" width="360" height="110" rx="12" fill="#ffffff05"/> <circle cx="90" cy="215" r="15" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1.5"/> <path d="M 85 210 L 95 220 M 95 210 L 85 220" stroke="#f59e0b" stroke-width="2" opacity="0.5"/> <text x="115" y="210" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">Classical (Pavlovian)</text> <text x="115" y="228" font-family="sans-serif" font-size="11" fill="#94a3b8">Association of two stimuli (CS + US)</text> <text x="80" y="255" font-family="sans-serif" font-size="11" fill="#f8fafc" font-style="italic">"Predictive relationship between events"</text> <rect x="80" y="270" width="320" height="1" fill="#ffffff15"/> <text x="80" y="285" font-family="sans-serif" font-size="10" fill="#94a3b8">Key: US (Food) → UR (Salivation) | CS (Bell) → CR</text> <!-- Instrumental Conditioning Sub-panel --> <rect x="60" y="305" width="360" height="110" rx="12" fill="#ffffff05"/> <rect x="75" y="325" width="30" height="30" rx="6" fill="#38bdf820" stroke="#38bdf8" stroke-width="1.5"/> <path d="M 82 340 L 98 340 M 90 332 L 90 348" stroke="#38bdf8" stroke-width="2"/> <text x="115" y="330" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">Instrumental (Operant)</text> <text x="115" y="348" font-family="sans-serif" font-size="11" fill="#94a3b8">Behavior and its consequences</text> <text x="80" y="375" font-family="sans-serif" font-size="11" fill="#38bdf8">Reinforcement (+) vs. Punishment (-)</text> <text x="80" y="395" font-family="sans-serif" font-size="10" fill="#94a3b8">Organism operates on the environment to produce change.</text> <!-- Rescorla-Wagner Graphic --> <text x="65" y="445" font-family="sans-serif" font-weight="700" font-size="12" fill="#e879f9">RESCORLA-WAGNER MODEL</text> <path d="M 65 500 L 200 500 M 65 500 L 65 460" stroke="#94a3b8" stroke-width="1"/> <path d="M 65 500 Q 80 465 180 465" fill="none" stroke="#e879f9" stroke-width="2" filter="url(#glow)"/> <text x="210" y="475" font-family="sans-serif" font-size="10" fill="#94a3b8" font-style="italic">ΔV = αβ(λ - ΣV)</text> <text x="210" y="490" font-family="sans-serif" font-size="9" fill="#64748b">Learning depends on "surprise"</text> <!-- SECTION 2: THE MEMORY PIPELINE --> <rect x="460" y="130" width="400" height="390" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="485" y="165" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">II. 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Treatments diagram 2Psychological Disorders and Treatments - Psychology as Science - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="40" y="50" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">PSYCHOLOGY AS <tspan fill="#38bdf8">SCIENCE</tspan></text> <text x="40" y="75" font-family="sans-serif" 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font-weight="bold" font-size="14" fill="#e879f9">1920s: THE BOX</text> <text x="15" y="55" font-family="sans-serif" font-weight="bold" font-size="16" fill="#f8fafc">Behaviorism</text> <text x="15" y="75" font-family="sans-serif" font-size="12" fill="#94a3b8">Watson &amp; Skinner</text> <text x="15" y="100" font-family="sans-serif" font-size="11" fill="#cbd5e1">Focus: Observable actions.</text> <text x="15" y="115" font-family="sans-serif" font-size="11" fill="#cbd5e1">Rejection of the "unseen"</text> <text x="15" y="130" font-family="sans-serif" font-size="11" fill="#e879f9">Stimulus-Response.</text> <circle cx="90" cy="160" r="4" fill="#e879f9"/> </g> <!-- Era 3: 1960s --> <g transform="translate(466, 340)"> <rect width="180" height="180" rx="12" fill="#ffffff05" stroke="#ffffff10"/> <text x="15" y="30" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f59e0b">1960s: THE COMPUTER</text> <text x="15" y="55" font-family="sans-serif" font-weight="bold" font-size="16" fill="#f8fafc">Cognitive Rev.</text> <text x="15" y="75" font-family="sans-serif" font-size="12" fill="#94a3b8">Miller &amp; Neisser</text> <text x="15" y="100" font-family="sans-serif" font-size="11" fill="#cbd5e1">Focus: Information processing,</text> <text x="15" y="115" font-family="sans-serif" font-size="11" fill="#cbd5e1">memory, and decision-making</text> <text x="15" y="130" font-family="sans-serif" font-size="11" fill="#f59e0b">using objective models.</text> <circle cx="90" cy="160" r="4" fill="#f59e0b"/> </g> <!-- Era 4: 1990s+ --> <g transform="translate(680, 340)"> <rect width="180" height="180" rx="12" fill="#ffffff05" stroke="#ffffff10"/> <text x="15" y="30" font-family="sans-serif" font-weight="bold" font-size="14" fill="#22c55e">1990s+: THE BRAIN</text> <text x="15" y="55" font-family="sans-serif" font-weight="bold" font-size="16" fill="#f8fafc">Neuroscience</text> <text x="15" y="75" font-family="sans-serif" font-size="12" fill="#94a3b8">Damasio &amp; Gazzaniga</text> <text x="15" y="100" font-family="sans-serif" font-size="11" fill="#cbd5e1">Focus: Biological substrates.</text> <text x="15" y="115" font-family="sans-serif" font-size="11" fill="#cbd5e1">fMRI, EEG, and mapping</text> <text x="15" y="130" font-family="sans-serif" font-size="11" fill="#22c55e">neural circuitry.</text> <circle cx="90" cy="160" r="4" fill="#22c55e"/> </g> <!-- Hub Science Badge --> <g transform="translate(680, 30)"> <rect width="180" height="60" rx="30" fill="#38bdf815" stroke="#38bdf830"/> <circle cx="30" cy="30" r="15" fill="#38bdf8" opacity="0.8"/> <path d="M 25 30 L 35 30 M 30 25 L 30 35" stroke="#0f172a" stroke-width="2"/> <text x="55" y="28" font-family="sans-serif" font-weight="bold" font-size="12" fill="#f8fafc">HUB SCIENCE</text> <text x="55" y="42" font-family="sans-serif" font-size="10" fill="#94a3b8">Linking Bio, Social, &amp; Physical</text> </g> <!-- Falsifiability Callout --> <path d="M 450 270 L 450 300" stroke="#f59e0b" stroke-width="1" stroke-dasharray="2 2"/> <g transform="translate(350, 285)"> <rect width="200" height="30" rx="15" fill="#f59e0b" /> <text x="100" y="20" font-family="sans-serif" font-weight="bold" font-size="12" fill="#0f172a" text-anchor="middle">PRINCIPLE: FALSIFIABILITY</text> </g> </svg>Psychology as Science image 1Psychology as Science - Psychology as Science - image 1https://www.getlykke.com/explore/public/psychology-as-science-97871b29-599c-4d8f-b94b-7ee51ee9041c/media/psychology-as-science/svg/1Psychology as Science diagram 1Psychology as Science - Psychology as Science - diagram 1https://www.getlykke.com/explore/public/psychology-as-science-97871b29-599c-4d8f-b94b-7ee51ee9041c/media/psychology-as-science/svg/2Psychology as Science diagram 2Psychology as Science - Psychology as Science - diagram 2<svg viewBox="0 0 900 560" xmlns="http://www.w3.org/2000/svg"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" 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560"/> </g> <!-- Header --> <text x="40" y="60" fill="#f8fafc" font-family="sans-serif" font-size="32" font-weight="bold" letter-spacing="-0.5">SENSATION &amp; PERCEPTION</text> <text x="40" y="85" fill="#94a3b8" font-family="sans-serif" font-size="16">The Architecture of Subjective Reality</text> <rect x="40" y="100" width="120" height="4" fill="url(#accentGrad)" rx="2"/> <!-- Main Pipeline Section --> <g transform="translate(40, 130)"> <!-- Stage 1: Sensation --> <rect width="260" height="180" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <circle cx="50" cy="45" r="20" fill="#38bdf822" stroke="#38bdf8" stroke-width="2"/> <path d="M 40 45 Q 50 30 60 45 T 80 45" fill="none" stroke="#38bdf8" stroke-width="2" transform="translate(-15,0)"/> <text x="85" y="52" fill="#f8fafc" font-family="sans-serif" font-size="18" font-weight="bold">SENSATION</text> <text x="25" y="90" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="bold">Transduction</text> <text x="25" y="110" fill="#94a3b8" font-family="sans-serif" font-size="12">Conversion of physical energy</text> <text x="25" y="125" fill="#94a3b8" font-family="sans-serif" font-size="12">(photons, waves) into neural</text> <text x="25" y="140" fill="#94a3b8" font-family="sans-serif" font-size="12">impulses via receptors.</text> <rect x="25" y="155" width="80" height="18" rx="4" fill="#38bdf822"/> <text x="32" y="168" fill="#38bdf8" font-family="sans-serif" font-size="10" font-weight="bold">INPUT: ANALOG</text> <!-- Connector 1 --> <path d="M 260 90 L 280 90" stroke="#94a3b8" stroke-width="2" stroke-dasharray="4 4"/> <!-- Stage 2: Transmission --> <g transform="translate(280, 0)"> <rect width="260" height="180" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <circle cx="50" cy="45" r="20" fill="#e879f922" stroke="#e879f9" stroke-width="2"/> <path d="M 40 45 L 60 45 L 45 55 L 65 55" fill="none" stroke="#e879f9" stroke-width="2" transform="translate(-5,-5)"/> <text x="85" y="52" fill="#f8fafc" font-family="sans-serif" font-size="18" font-weight="bold">TRANSMISSION</text> <text x="25" y="90" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="bold">Propagation</text> <text x="25" y="110" fill="#94a3b8" font-family="sans-serif" font-size="12">Action potentials travel via</text> <text x="25" y="125" fill="#94a3b8" font-family="sans-serif" font-size="12">afferent pathways through the</text> <text x="25" y="140" fill="#94a3b8" font-family="sans-serif" font-size="12">thalamus to the cortex.</text> <rect x="25" y="155" width="95" height="18" rx="4" fill="#e879f922"/> <text x="32" y="168" fill="#e879f9" font-family="sans-serif" font-size="10" font-weight="bold">SIGNAL: BINARY</text> </g> <!-- Connector 2 --> <path d="M 540 90 L 560 90" stroke="#94a3b8" stroke-width="2" stroke-dasharray="4 4"/> <!-- Stage 3: Perception --> <g transform="translate(560, 0)"> <rect width="260" height="180" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <circle cx="50" cy="45" r="20" 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340)"> <rect width="410" height="190" rx="16" fill="#ffffff05" stroke="#ffffff10"/> <text x="20" y="35" fill="#f8fafc" font-family="sans-serif" font-size="18" font-weight="bold">The Bayesian Brain</text> <text x="20" y="55" fill="#94a3b8" font-family="sans-serif" font-size="12">Multi-modal integration via Maximum Likelihood Estimation.</text> <!-- Bayesian Graph Visualization --> <g transform="translate(20, 70)"> <!-- Visual Variance --> <path d="M 10 80 Q 60 10 110 80" fill="#38bdf822" stroke="#38bdf8" stroke-width="2"/> <text x="45" y="95" fill="#38bdf8" font-family="sans-serif" font-size="10">Visual (σ²)</text> <!-- Auditory Variance --> <path d="M 70 80 Q 140 30 210 80" fill="#e879f922" stroke="#e879f9" stroke-width="2"/> <text x="160" y="95" fill="#e879f9" font-family="sans-serif" font-size="10">Auditory (σ²)</text> <!-- Integrated Result --> <path d="M 55 80 Q 85 0 115 80" fill="#f59e0b44" stroke="#f59e0b" stroke-width="3" filter="url(#glow)"/> <text x="85" y="115" fill="#f59e0b" 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2https://www.getlykke.com/explore/public/organic-chemistry-structure-reactivity-and-the-dfe4d7d2-d20d-4121-89b2-9e0e18d262432026-04-20T05:02:58.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bgGradient" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff05" stroke-width="1"/> </pattern> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bgGradient)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="40" y="50" font-family="Arial, sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="-0.5">THE ARCHITECTURE OF OER</text> <text x="40" y="75" font-family="Arial, sans-serif" font-size="14" fill="#38bdf8" font-weight="bold" letter-spacing="2">OPENSTAX &amp; THE 5 Rs FRAMEWORK</text> <rect x="40" y="85" width="820" height="1" fill="#ffffff20"/> <!-- Left Column: The 5 Rs --> <text x="40" y="120" font-family="Arial, sans-serif" font-weight="bold" font-size="18" fill="#e879f9">THE 5 Rs PHILOSOPHY</text> <!-- R1: Retain --> <rect x="40" y="135" width="300" height="65" rx="12" fill="#ffffff08" stroke="#ffffff10"/> <circle cx="70" cy="167" r="18" fill="#38bdf820" stroke="#38bdf8" stroke-width="1.5"/> <path d="M 64 162 h 12 v 10 h -12 z M 64 162 l 6 -4 l 6 4" fill="none" stroke="#38bdf8" stroke-width="1.5"/> <text x="100" y="158" font-family="Arial, sans-serif" font-weight="bold" font-size="15" fill="#f8fafc">RETAIN</text> <text x="100" y="175" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">The right to make, own, and control copies.</text> <!-- R2: Reuse --> <rect x="40" 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fill="#94a3b8">Adapt, adjust, or alter the content.</text> <!-- R4: Remix --> <rect x="40" y="360" width="300" height="65" rx="12" fill="#ffffff08" stroke="#ffffff10"/> <circle cx="70" cy="392" r="18" fill="#e879f920" stroke="#e879f9" stroke-width="1.5"/> <path d="M 64 392 h 12 M 70 386 v 12" fill="none" stroke="#e879f9" stroke-width="1.5"/> <text x="100" y="383" font-family="Arial, sans-serif" font-weight="bold" font-size="15" fill="#f8fafc">REMIX</text> <text x="100" y="400" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Combine original with other materials.</text> <!-- R5: Redistribute --> <rect x="40" y="435" width="300" height="65" rx="12" fill="#ffffff08" stroke="#ffffff10"/> <circle cx="70" cy="467" r="18" fill="#38bdf820" stroke="#38bdf8" stroke-width="1.5"/> <path d="M 64 467 l 12 -6 M 64 467 l 12 6 M 76 461 a 2 2 0 1 1 0 0.1 M 76 473 a 2 2 0 1 1 0 0.1" fill="none" stroke="#38bdf8" stroke-width="1.5"/> <text x="100" y="458" font-family="Arial, sans-serif" font-weight="bold" font-size="15" fill="#f8fafc">REDISTRIBUTE</text> <text x="100" y="475" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Share copies or remixes with others.</text> <!-- Right Column: Production Pipeline --> <text x="380" y="120" font-family="Arial, sans-serif" font-weight="bold" font-size="18" fill="#38bdf8">THE OPENSTAX PIPELINE</text> <g transform="translate(380, 135)"> <!-- Step 1 --> <rect width="480" height="50" rx="8" fill="#ffffff05" stroke="#ffffff10"/> <text x="15" y="30" font-family="Arial, sans-serif" font-weight="bold" font-size="16" fill="#f59e0b">01</text> <text x="50" y="22" font-family="Arial, sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">Philanthropic Funding</text> <text x="50" y="38" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Grants from foundations (Gates, Hewlett) cover initial R&amp;D costs.</text> <!-- Step 2 --> <rect y="60" width="480" height="50" rx="8" fill="#ffffff05" stroke="#ffffff10"/> <text x="15" y="90" font-family="Arial, sans-serif" font-weight="bold" font-size="16" fill="#f59e0b">02</text> <text x="50" y="82" font-family="Arial, sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">Expert Recruitment</text> <text x="50" y="98" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Subject Matter Experts (SMEs) from top-tier research institutions.</text> <!-- Step 3 --> <rect y="120" width="480" height="50" rx="8" fill="#ffffff05" stroke="#ffffff10"/> <text x="15" y="150" font-family="Arial, sans-serif" font-weight="bold" font-size="16" fill="#f59e0b">03</text> <text x="50" y="142" font-family="Arial, sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">Double-Blind Peer Review</text> <text x="50" y="158" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Rigorous academic vetting to ensure "Big Three" publisher quality.</text> <!-- Step 4 --> <rect y="180" width="480" height="50" rx="8" fill="#ffffff05" stroke="#ffffff10"/> <text x="15" y="210" font-family="Arial, sans-serif" font-weight="bold" font-size="16" fill="#f59e0b">04</text> <text x="50" y="202" font-family="Arial, sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">Digital Transformation (CNXML)</text> <text x="50" y="218" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Encoding for multi-format rendering: PDF, HTML5, and mobile.</text> <!-- Step 5 --> <rect y="240" width="480" height="50" rx="8" fill="#ffffff05" stroke="#ffffff10"/> <text x="15" y="270" font-family="Arial, sans-serif" font-weight="bold" font-size="16" fill="#f59e0b">05</text> <text x="50" y="262" font-family="Arial, sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">Continuous Community Revision</text> <text x="50" y="278" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Real-time errata updates and modular content improvements.</text> </g> <!-- Success Highlight: McMurry --> <rect x="380" y="435" width="480" height="65" rx="12" fill="#f59e0b10" stroke="#f59e0b40"/> <text x="395" y="458" font-family="Arial, sans-serif" font-weight="bold" font-size="14" fill="#f59e0b">CASE STUDY: THE MCMURRY TRANSITION</text> <text x="395" y="475" font-family="Arial, sans-serif" font-size="12" fill="#f8fafc">John McMurry’s "Organic Chemistry" moved from a high-cost proprietary</text> <text x="395" y="488" font-family="Arial, sans-serif" font-size="12" fill="#f8fafc">model to OpenStax OER, setting a new prestige standard for open access.</text> <!-- Footer / Licensing --> <rect x="40" y="520" width="820" height="30" rx="8" fill="#ffffff05"/> <text x="55" y="540" font-family="Arial, sans-serif" font-size="11" font-weight="bold" fill="#94a3b8">LICENSING MODEL:</text> <text x="160" y="540" font-family="Arial, sans-serif" font-size="11" fill="#f8fafc">TRADITIONAL COPYRIGHT (©) = All Rights Reserved</text> <path d="M 420 530 l 10 10 m -10 0 l 10 -10" stroke="#f8fafc" stroke-width="1"/> <text x="450" y="540" font-family="Arial, sans-serif" font-size="11" font-weight="bold" fill="#10b981">CREATIVE COMMONS (CC BY) = Some Rights Reserved</text> <!-- Decorative elements --> <circle cx="850" cy="50" r="20" fill="none" stroke="#e879f9" stroke-width="0.5" opacity="0.5"/> <circle cx="850" cy="50" r="15" fill="none" stroke="#e879f9" stroke-width="0.5" opacity="0.3"/> </svg>Introduction to OpenStax and OER image 1Introduction to OpenStax and OER - Organic Chemistry: Structure, Reactivity, and the Functional Group Approach - image 1https://www.getlykke.com/explore/public/organic-chemistry-structure-reactivity-and-the-dfe4d7d2-d20d-4121-89b2-9e0e18d26243/media/intro-to-openstax-oer/svg/1Introduction to OpenStax and OER diagram 1Introduction to OpenStax and OER - Organic Chemistry: Structure, Reactivity, and the Functional Group Approach - diagram 1https://www.getlykke.com/explore/public/organic-chemistry-structure-reactivity-and-the-dfe4d7d2-d20d-4121-89b2-9e0e18d26243/media/intro-to-openstax-oer/svg/2Introduction to OpenStax and OER diagram 2Introduction to OpenStax and OER - Organic Chemistry: Structure, Reactivity, and the Functional Group Approach - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#f59e0b"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> </defs> <!-- Background Layer --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Decorative Background Circles --> <circle cx="850" cy="50" r="120" fill="#38bdf8" fill-opacity="0.05"/> <circle cx="50" cy="510" r="80" fill="#e879f9" fill-opacity="0.05"/> <!-- Header Section --> <text x="450" y="60" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">THE FUNCTIONAL GROUP APPROACH</text> <text x="450" y="85" text-anchor="middle" font-family="sans-serif" font-size="16" fill="#94a3b8" font-style="italic">The Pedagogical Shift from Memorization to Predictive Logic</text> <rect x="350" y="100" width="200" height="4" rx="2" fill="url(#accentGrad)"/> <!-- Left Panel: The Evolution --> <rect x="40" y="130" width="260" height="390" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="165" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">PEDAGOGICAL SHIFT</text> <g transform="translate(60, 190)"> <circle cx="10" cy="10" r="4" fill="#f59e0b"/> <text x="25" y="15" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">Pre-1970s: Taxonomy</text> <text x="25" y="35" font-family="sans-serif" font-size="12" fill="#94a3b8">Focus on "Compound Classes"</text> <text x="25" y="50" font-family="sans-serif" font-size="12" fill="#94a3b8">(e.g., Coal Tar, Dyes)</text> <line x1="10" y1="25" x2="10" y2="75" stroke="#ffffff20" stroke-dasharray="4"/> <circle cx="10" cy="90" r="4" fill="#e879f9"/> <text x="25" y="95" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">The McMurry Era</text> <text x="25" y="115" font-family="sans-serif" font-size="12" fill="#94a3b8">Focus on "Reactive Centers"</text> <text x="25" y="130" font-family="sans-serif" font-size="12" fill="#94a3b8">Universal reactivity rules</text> </g> <rect x="60" y="350" width="220" height="140" rx="12" fill="#00000030"/> <text x="75" y="375" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f59e0b">COGNITIVE LOAD REDUCTION</text> <text x="75" y="405" font-family="sans-serif" font-size="12" fill="#f8fafc">OLD: 10,000+ Reactions</text> <text x="75" y="425" font-family="sans-serif" font-size="12" 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Organic Chemistry: Structure, Reactivity, and the Functional Group Approach - diagram 2https://www.getlykke.com/explore/public/organic-chemistry-structure-reactivity-and-the-dfe4d7d2-d20d-4121-89b2-9e0e18d26243/media/functional-group-approach/svg/3The Functional Group Approach diagram 3The Functional Group Approach - Organic Chemistry: Structure, Reactivity, and the Functional Group Approach - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="cardGrad" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#ffffff15"/> <stop offset="100%" stop-color="#ffffff05"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <!-- Decorative Grid --> <path d="M0 40 H900 M0 80 H900 M0 120 H900 M0 160 H900 M0 200 H900 M0 240 H900 M0 280 H900 M0 320 H900 M0 360 H900 M0 400 H900 M0 440 H900 M0 480 H900 M0 520 H900" stroke="#ffffff05" stroke-width="1"/> <path d="M40 0 V560 M80 0 V560 M120 0 V560 M160 0 V560 M200 0 V560 M240 0 V560 M280 0 V560 M320 0 V560 M360 0 V560 M400 0 V560 M440 0 V560 M480 0 V560 M520 0 V560 M560 0 V560 M600 0 V560 M640 0 V560 M680 0 V560 M720 0 V560 M760 0 V560 M800 0 V560 M840 0 V560" stroke="#ffffff05" stroke-width="1"/> <!-- Title Section --> <text x="450" y="60" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">ORGANIC STRUCTURE &amp; REACTIVITY</text> <text x="450" y="85" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" letter-spacing="3">THE CAUSAL RELATIONSHIP OF MOLECULAR ARCHITECTURE</text> <rect x="400" y="95" width="100" height="3" 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Hybridization</text> <!-- sp3 --> <g transform="translate(70, 180)"> <circle cx="20" cy="20" r="18" fill="none" stroke="#f59e0b" stroke-width="2" stroke-dasharray="2 2"/> <path d="M20 20 L20 2 M20 20 L38 30 M20 20 L5 35 M20 20 L35 10" stroke="#f8fafc" stroke-width="2" stroke-linecap="round"/> <text x="55" y="15" font-family="sans-serif" font-weight="700" font-size="16" fill="#f8fafc">sp³</text> <text x="55" y="32" font-family="sans-serif" font-size="12" fill="#94a3b8">Tetrahedral | 109.5°</text> </g> <!-- sp2 --> <g transform="translate(70, 260)"> <circle cx="20" cy="20" r="18" fill="none" stroke="#e879f9" stroke-width="2" stroke-dasharray="2 2"/> <path d="M20 20 L20 2 M20 20 L38 30 M20 20 L2 30" stroke="#f8fafc" stroke-width="2" stroke-linecap="round"/> <text x="55" y="15" font-family="sans-serif" font-weight="700" font-size="16" fill="#f8fafc">sp²</text> <text x="55" y="32" font-family="sans-serif" font-size="12" fill="#94a3b8">Trigonal Planar | 120°</text> </g> <!-- sp --> <g transform="translate(70, 340)"> <circle cx="20" cy="20" r="18" fill="none" stroke="#38bdf8" stroke-width="2" stroke-dasharray="2 2"/> <path d="M2 20 L38 20" stroke="#f8fafc" stroke-width="2" stroke-linecap="round"/> <text x="55" y="15" font-family="sans-serif" font-weight="700" font-size="16" fill="#f8fafc">sp</text> <text x="55" y="32" font-family="sans-serif" font-size="12" fill="#94a3b8">Linear | 180°</text> </g> <!-- Center Panel: The Logic of Reactivity --> <rect x="320" y="120" width="540" height="220" rx="16" fill="url(#cardGrad)" stroke="#ffffff10"/> <text x="340" y="150" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">II. 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Reactivity image 1Organic Structure and Reactivity - Organic Chemistry: Structure, Reactivity, and the Functional Group Approach - image 1https://www.getlykke.com/explore/public/organic-chemistry-structure-reactivity-and-the-dfe4d7d2-d20d-4121-89b2-9e0e18d26243/media/organic-structure-and-reactivity/svg/1Organic Structure and Reactivity diagram 1Organic Structure and Reactivity - Organic Chemistry: Structure, Reactivity, and the Functional Group Approach - diagram 1https://www.getlykke.com/explore/public/organic-chemistry-structure-reactivity-and-the-dfe4d7d2-d20d-4121-89b2-9e0e18d26243/media/organic-structure-and-reactivity/svg/2Organic Structure and Reactivity diagram 2Organic Structure and Reactivity - Organic Chemistry: Structure, Reactivity, and the Functional Group Approach - diagram 2https://www.getlykke.com/explore/public/organic-chemistry-structure-reactivity-and-the-dfe4d7d2-d20d-4121-89b2-9e0e18d26243/media/organic-structure-and-reactivity/svg/3Organic Structure and 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Applications &amp; Modern Updates</text> <text x="40" y="75" font-family="sans-serif" font-size="14" font-weight="400" fill="#94a3b8">The Evolution of Organic Chemistry: From Static Textbooks to Dynamic OER</text> <line x1="40" y1="95" x2="860" y2="95" stroke="#334155" stroke-width="1"/> <!-- Left Column: OER Revolution Card --> <rect x="40" y="115" width="260" height="200" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="145" font-family="sans-serif" font-size="18" font-weight="700" fill="#38bdf8">The OER Revolution</text> <rect x="60" y="165" width="220" height="55" rx="8" fill="#ffffff08"/> <text x="70" y="185" font-family="sans-serif" font-size="11" font-weight="600" fill="#94a3b8">TRADITIONAL MODEL</text> <text x="70" y="205" font-family="sans-serif" font-size="14" font-weight="700" fill="#f1f5f9">$200–$400 | 5-Year Cycles</text> <rect x="60" y="230" width="220" height="65" rx="8" fill="#38bdf820" stroke="#38bdf840"/> <text x="70" y="250" font-family="sans-serif" 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--> <rect x="600" y="115" width="260" height="405" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="620" y="145" font-family="sans-serif" font-size="18" font-weight="700" fill="#e879f9">Modern Applications</text> <g transform="translate(620, 170)"> <rect width="220" height="70" rx="8" fill="#ffffff05"/> <path d="M15 20 L35 20 A10 10 0 0 1 35 40 L15 40 A10 10 0 0 1 15 20" fill="#e879f930" stroke="#e879f9"/> <text x="50" y="25" font-family="sans-serif" font-size="13" font-weight="600" fill="#f1f5f9">Drug Design</text> <text x="50" y="42" font-family="sans-serif" font-size="11" font-weight="400" fill="#94a3b8" width="150">SAR studies and lead compound modification.</text> </g> <g transform="translate(620, 255)"> <rect width="220" height="70" rx="8" fill="#ffffff05"/> <circle cx="20" cy="30" r="5" fill="#38bdf8"/> <circle cx="35" cy="30" r="5" fill="#38bdf8"/> <line x1="25" y1="30" x2="30" y2="30" stroke="#38bdf8"/> <text x="50" y="25" font-family="sans-serif" font-size="13" font-weight="600" fill="#f1f5f9">Polymer Science</text> <text x="50" y="42" font-family="sans-serif" font-size="11" font-weight="400" fill="#94a3b8">Biodegradable materials &amp; Nanotech.</text> </g> <g transform="translate(620, 340)"> <rect width="220" height="70" rx="8" fill="#ffffff05"/> <path d="M15 35 Q25 15 35 35" fill="none" stroke="#f59e0b" stroke-width="2"/> <path d="M15 25 Q25 45 35 25" fill="none" stroke="#f59e0b" stroke-width="2"/> <text x="50" y="25" font-family="sans-serif" font-size="13" font-weight="600" fill="#f1f5f9">Metabolic Pathways</text> <text x="50" y="42" font-family="sans-serif" font-size="11" font-weight="400" fill="#94a3b8">Enzymatic reactions &amp; Bio-organic chem.</text> </g> <text x="620" y="450" font-family="sans-serif" font-size="11" font-style="italic" fill="#94a3b8">"Democratization of knowledge ensures the next generation is limited by imagination, not finance."</text> <!-- Bottom Left: Framework Comparison --> <rect x="40" y="335" width="540" height="185" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="365" font-family="sans-serif" font-size="18" font-weight="700" fill="#10b981">Pedagogical Frameworks</text> <g transform="translate(60, 385)"> <rect width="225" height="110" rx="8" fill="#ffffff05"/> <text x="15" y="25" font-family="sans-serif" font-size="14" font-weight="700" fill="#f1f5f9">Functional Group</text> <text x="15" y="45" font-family="sans-serif" font-size="12" fill="#94a3b8">Organized by structural motifs.</text> <path d="M15 65 L30 55 L45 65 L45 80 L30 90 L15 80 Z" fill="none" stroke="#10b981" stroke-width="1.5"/> <text x="60" y="75" font-family="sans-serif" font-size="11" fill="#f1f5f9">Excellent for synthesis &amp; ID.</text> </g> <g transform="translate(300, 385)"> <rect width="225" height="110" rx="8" fill="#ffffff05"/> <text x="15" y="25" font-family="sans-serif" font-size="14" font-weight="700" fill="#f1f5f9">Mechanistic</text> <text x="15" y="45" font-family="sans-serif" font-size="12" fill="#94a3b8">Organized by electron movement.</text> <path d="M20 80 Q40 50 60 80" fill="none" stroke="#f59e0b" stroke-width="1.5" marker-end="url(#arrow)"/> <circle cx="20" cy="80" r="2" fill="#f59e0b"/> <text x="65" y="75" font-family="sans-serif" font-size="11" fill="#f1f5f9">Deep "Why" understanding.</text> </g> <text x="40" y="545" font-family="sans-serif" font-size="10" font-weight="500" fill="#475569">MCMURRY ORGANIC CHEMISTRY | 10TH EDITION | OPENSTAX EDUCATIONAL RESOURCE</text> </svg>Scientific Applications and Modern Updates image 1Scientific Applications and Modern Updates - Organic Chemistry: Structure, Reactivity, and the Functional Group Approach - image 1https://www.getlykke.com/explore/public/organic-chemistry-structure-reactivity-and-the-dfe4d7d2-d20d-4121-89b2-9e0e18d26243/media/scientific-applications-and-updates/svg/1Scientific Applications and Modern Updates diagram 1Scientific Applications and Modern Updates - Organic Chemistry: Structure, Reactivity, and the Functional Group Approach - diagram 1https://www.getlykke.com/explore/public/organic-chemistry-structure-reactivity-and-the-dfe4d7d2-d20d-4121-89b2-9e0e18d26243/media/scientific-applications-and-updates/svg/2Scientific Applications and Modern Updates diagram 2Scientific Applications and Modern Updates - Organic Chemistry: Structure, Reactivity, and the Functional Group Approach - diagram 2https://www.getlykke.com/explore/public/organic-chemistry-structure-reactivity-and-the-dfe4d7d2-d20d-4121-89b2-9e0e18d26243/media/scientific-applications-and-updates/svg/3Scientific Applications and Modern Updates diagram 3Scientific Applications and Modern Updates - Organic Chemistry: Structure, Reactivity, and the Functional Group Approach - diagram 3https://www.getlykke.com/explore/public/geology-6ae93dc4-518d-4048-acd3-523e6d6aff202026-04-20T05:02:34.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bgGradient" x1="0" y1="0" x2="0" y2="1"> <stop 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stroke-width="2" stroke-dasharray="4 2"/> <!-- Left Column: The Dual Pillars --> <g transform="translate(40, 110)"> <rect width="260" height="190" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="20" y="30" font-family="Arial, sans-serif" font-weight="bold" font-size="18" fill="#38bdf8">PHYSICAL GEOLOGY</text> <text x="20" y="52" font-family="Arial, sans-serif" font-size="13" fill="#94a3b8">The "Mechanics" of the Planet</text> <!-- Physical Icon --> <path d="M 200 25 L 230 75 L 170 75 Z" fill="none" stroke="#38bdf8" stroke-width="2"/> <circle cx="200" cy="65" r="8" fill="#38bdf8" fill-opacity="0.3"/> <text x="20" y="90" font-family="Arial, sans-serif" font-size="12" fill="#f8fafc">• Plate Tectonics &amp; Volcanism</text> <text x="20" y="110" font-family="Arial, sans-serif" font-size="12" fill="#f8fafc">• Mineralogy &amp; Petrology</text> <text x="20" y="130" font-family="Arial, sans-serif" font-size="12" fill="#f8fafc">• Rock Formation &amp; Erosion</text> <rect x="20" y="150" 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Paleontology (Fossils)</text> <text x="20" y="130" font-family="Arial, sans-serif" font-size="12" fill="#f8fafc">• Biological Evolution</text> <rect x="20" y="150" width="220" height="25" rx="4" fill="#f59e0b20"/> <text x="130" y="167" text-anchor="middle" font-family="Arial, sans-serif" font-size="11" font-style="italic" fill="#f59e0b">Focus: Origin &amp; Development</text> </g> <!-- Center Column: Scientific Method --> <g transform="translate(320, 110)"> <rect width="260" height="400" rx="16" fill="#ffffff05" stroke="#e879f9" stroke-dasharray="4 4"/> <text x="130" y="35" text-anchor="middle" font-family="Arial, sans-serif" font-weight="bold" font-size="18" fill="#e879f9">SCIENTIFIC METHOD</text> <!-- Workflow Steps --> <g transform="translate(30, 60)"> <circle cx="20" cy="20" r="15" fill="#e879f920" stroke="#e879f9" stroke-width="2"/> <text x="20" y="25" text-anchor="middle" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#f8fafc">1</text> <text x="45" y="18" font-family="Arial, sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">OBSERVATION</text> <text x="45" y="32" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Identify natural phenomena</text> <line x1="20" y1="35" x2="20" y2="65" stroke="#e879f9" stroke-width="1" stroke-dasharray="2 2"/> <g transform="translate(0, 70)"> <circle cx="20" cy="20" r="15" fill="#e879f920" stroke="#e879f9" stroke-width="2"/> <text x="20" y="25" text-anchor="middle" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#f8fafc">2</text> <text x="45" y="18" font-family="Arial, sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">HYPOTHESIS</text> <text x="45" y="32" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Tentative explanation</text> </g> <line x1="20" y1="105" x2="20" y2="135" stroke="#e879f9" stroke-width="1" stroke-dasharray="2 2"/> <g transform="translate(0, 140)"> <circle cx="20" cy="20" r="15" fill="#e879f920" stroke="#e879f9" 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height="60" rx="8" fill="#ffffff10"/> <text x="130" y="340" text-anchor="middle" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#e879f9">ABDUCTIVE REASONING</text> <text x="130" y="358" text-anchor="middle" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">"Inference to the best explanation"</text> <text x="130" y="372" text-anchor="middle" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">used for ancient events.</text> </g> <!-- Right Column: Earth System Science --> <g transform="translate(600, 110)"> <rect width="260" height="400" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="130" y="35" text-anchor="middle" font-family="Arial, sans-serif" font-weight="bold" font-size="18" fill="#4ade80">EARTH SYSTEM (ESS)</text> <!-- Sphere Grid --> <g transform="translate(30, 60)"> <!-- Geosphere --> <rect width="90" height="70" rx="8" fill="#38bdf815" stroke="#38bdf8" stroke-width="1"/> <text x="45" y="35" text-anchor="middle" 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fill="none" stroke="#4ade80" stroke-width="1" stroke-dasharray="2 2"/> <circle cx="130" cy="365" r="12" fill="#4ade80" fill-opacity="0.2"/> </g> <!-- Footer Banner --> <rect x="0" y="525" width="900" height="35" fill="#00000040"/> <text x="450" y="547" text-anchor="middle" font-family="Georgia, serif" font-style="italic" font-size="14" fill="#f59e0b">"The present is the key to the past." — Uniformitarianism</text> </svg>Introduction to Geology and the Scientific Method image 1Introduction to Geology and the Scientific Method - Geology - image 1https://www.getlykke.com/explore/public/geology-6ae93dc4-518d-4048-acd3-523e6d6aff20/media/introduction-to-geology/svg/1Introduction to Geology and the Scientific Method diagram 1Introduction to Geology and the Scientific Method - Geology - diagram 1https://www.getlykke.com/explore/public/geology-6ae93dc4-518d-4048-acd3-523e6d6aff20/media/introduction-to-geology/svg/2Introduction to Geology and the Scientific Method diagram 2Introduction to Geology and the Scientific Method - Geology - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="blur"/> <feComposite in="SourceGraphic" in2="blur" operator="over"/> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="450" y="60" text-anchor="middle" font-family="Arial, sans-serif" font-size="32" font-weight="bold" fill="#f8fafc" letter-spacing="1">MINERALS: THE BUILDING BLOCKS OF EARTH</text> <text x="450" y="85" text-anchor="middle" font-family="Arial, sans-serif" font-size="14" fill="#94a3b8" letter-spacing="2">A GEOLOGICAL OVERVIEW OF ATOMIC ARCHITECTURE</text> <line x1="300" y1="100" x2="600" y2="100" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 4"/> <!-- Left Panel: Chemical Bonding --> <rect x="40" y="130" width="260" height="390" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="165" font-family="Arial, sans-serif" font-size="18" font-weight="bold" fill="#38bdf8">I. CHEMICAL BONDING</text> <!-- Ionic --> <circle cx="75" cy="205" r="12" fill="#f59e0b" opacity="0.8"/> <circle cx="105" cy="205" r="15" fill="#38bdf8" opacity="0.8"/> <text x="130" y="202" font-family="Arial, sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">Ionic</text> <text x="130" y="216" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Electrostatic (Halite)</text> <!-- Covalent --> <circle cx="78" cy="265" r="14" fill="#e879f9" opacity="0.6"/> <circle cx="102" cy="265" r="14" fill="#e879f9" opacity="0.6"/> <text x="130" y="262" font-family="Arial, sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">Covalent</text> <text x="130" y="276" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Shared Electrons (Diamond)</text> <!-- Metallic --> <rect x="65" y="320" width="45" height="30" rx="4" fill="#94a3b8" opacity="0.3"/> <circle cx="75" cy="330" r="3" fill="#f8fafc"/> <circle cx="85" cy="340" r="3" fill="#f8fafc"/> <circle cx="95" cy="330" r="3" fill="#f8fafc"/> <text x="130" y="325" font-family="Arial, sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">Metallic</text> <text x="130" y="339" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Electron Sea (Gold)</text> <!-- Van der Waals --> <line x1="65" y1="385" x2="110" y2="385" stroke="#94a3b8" stroke-width="2"/> <line x1="65" y1="395" x2="110" y2="395" stroke="#94a3b8" stroke-width="2" stroke-dasharray="2 2"/> <line x1="65" y1="405" x2="110" y2="405" stroke="#94a3b8" stroke-width="2"/> <text x="130" y="392" font-family="Arial, sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">Van der Waals</text> <text x="130" y="406" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Weak Dipoles (Graphite)</text> <!-- Center Panel: Pauling's Rules --> <rect x="320" y="130" width="260" height="240" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="450" y="165" text-anchor="middle" font-family="Arial, sans-serif" font-size="18" font-weight="bold" fill="#f59e0b">II. RADIUS RATIO RULE</text> <!-- Formula --> <rect x="360" y="185" width="180" height="45" rx="8" fill="#00000030"/> <text x="450" y="213" text-anchor="middle" font-family="serif" font-size="20" fill="#f8fafc" font-style="italic">Rr = Rc / Ra</text> <!-- Coordination Graphic --> <circle cx="450" cy="300" r="35" fill="none" stroke="#38bdf8" stroke-width="1" stroke-dasharray="4 2"/> <circle cx="450" cy="300" r="8" fill="#f59e0b" filter="url(#glow)"/> <!-- Cation --> <circle cx="450" cy="265" r="12" fill="#38bdf8" opacity="0.6"/> <!-- Anions --> <circle cx="482" cy="315" r="12" fill="#38bdf8" opacity="0.6"/> <circle cx="418" cy="315" r="12" fill="#38bdf8" opacity="0.6"/> <text x="450" y="355" text-anchor="middle" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">Octahedral Coordination (CN=6)</text> <!-- Right Panel: Crystal Systems --> <rect x="600" y="130" width="260" height="390" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="620" y="165" font-family="Arial, sans-serif" font-size="18" font-weight="bold" fill="#e879f9">III. CRYSTAL SYSTEMS</text> <!-- Grid of Systems --> <!-- Cubic --> <rect x="625" y="190" width="30" height="30" fill="none" stroke="#f8fafc" stroke-width="1.5"/> <text x="670" y="202" font-family="Arial, sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Cubic</text> <text x="670" y="215" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">a=b=c | 90°</text> <!-- Hexagonal --> <polygon points="640,250 655,258 655,275 640,283 625,275 625,258" fill="none" stroke="#f8fafc" stroke-width="1.5"/> <text x="670" y="262" font-family="Arial, sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Hexagonal</text> <text x="670" y="275" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">a1=a2=a3≠c | 120°</text> <!-- Tetragonal --> <rect x="625" y="310" width="30" height="45" fill="none" stroke="#f8fafc" stroke-width="1.5"/> <text x="670" y="325" font-family="Arial, sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Tetragonal</text> <text x="670" y="338" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">a=b≠c | 90°</text> <!-- Orthorhombic --> <rect x="625" y="380" width="40" height="25" fill="none" stroke="#f8fafc" stroke-width="1.5"/> <text x="680" y="392" font-family="Arial, sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Orthorhombic</text> <text x="680" y="405" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">a≠b≠c | 90°</text> <!-- Monoclinic --> <polygon points="625,455 660,455 670,435 635,435" fill="none" stroke="#f8fafc" stroke-width="1.5"/> <text x="680" y="442" font-family="Arial, sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Monoclinic</text> <text x="680" y="455" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">a≠b≠c | β≠90°</text> <!-- Bottom Process Bar --> <rect x="320" y="390" width="260" height="130" rx="16" fill="#38bdf815" stroke="#38bdf830"/> <text x="450" y="415" text-anchor="middle" font-family="Arial, sans-serif" font-size="14" font-weight="bold" fill="#38bdf8">STRUCTURAL HIERARCHY</text> <g transform="translate(345, 440)"> <circle cx="0" cy="0" r="5" fill="#f8fafc"/> <text x="0" y="20" text-anchor="middle" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8">ATOM</text> <line x1="10" y1="0" x2="40" y2="0" stroke="#f8fafc" stroke-width="1"/> <circle cx="55" cy="0" r="8" fill="none" stroke="#f8fafc"/> <circle cx="55" cy="0" r="2" fill="#f8fafc"/> <text x="55" y="20" text-anchor="middle" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8">UNIT CELL</text> <line x1="70" y1="0" x2="100" y2="0" stroke="#f8fafc" stroke-width="1"/> <rect x="110" y="-8" width="16" height="16" fill="none" stroke="#f8fafc"/> <text x="118" y="20" text-anchor="middle" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8">LATTICE</text> <line x1="135" y1="0" x2="165" y2="0" stroke="#f8fafc" stroke-width="1"/> <path d="M 175,-10 L 195,-10 L 200,0 L 195,10 L 175,10 Z" fill="#f59e0b"/> <text x="188" y="25" text-anchor="middle" font-family="Arial, sans-serif" font-size="10" font-weight="bold" fill="#f8fafc">MINERAL</text> </g> <!-- Decorative corner elements --> <path d="M 20 20 L 60 20 M 20 20 L 20 60" stroke="#38bdf8" stroke-width="2" fill="none" opacity="0.5"/> <path d="M 880 540 L 840 540 M 880 540 L 880 500" stroke="#e879f9" stroke-width="2" fill="none" opacity="0.5"/> </svg>Minerals: The Building Blocks of Earth image 1Minerals: The Building Blocks of Earth - Geology - image 1https://www.getlykke.com/explore/public/geology-6ae93dc4-518d-4048-acd3-523e6d6aff20/media/minerals-and-gemology/svg/1Minerals: The Building Blocks of Earth diagram 1Minerals: The Building Blocks of Earth - Geology - diagram 1https://www.getlykke.com/explore/public/geology-6ae93dc4-518d-4048-acd3-523e6d6aff20/media/minerals-and-gemology/svg/2Minerals: The Building Blocks of Earth diagram 2Minerals: The Building Blocks of Earth - Geology - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="magmaGrad" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#f59e0b"/> <stop offset="100%" stop-color="#ef4444"/> </linearGradient> <linearGradient id="spectrumGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#fecaca"/> <!-- Felsic --> <stop offset="33%" stop-color="#94a3b8"/> <!-- Intermediate --> <stop offset="66%" stop-color="#475569"/> <!-- Mafic --> <stop offset="100%" stop-color="#0f172a"/> <!-- Ultramafic --> </linearGradient> <pattern id="dots" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10"/> </pattern> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Subtle Grid Lines --> <path d="M 50 0 L 50 560 M 850 0 L 850 560" stroke="#ffffff05" stroke-width="1"/> <path d="M 0 80 L 900 80" stroke="#ffffff10" stroke-width="2"/> <!-- Header Section --> <text x="450" y="45" text-anchor="middle" font-family="Arial, sans-serif" font-weight="800" font-size="32" fill="#f8fafc">IGNEOUS PROCESSES &amp; VOLCANISM</text> <text x="450" y="68" text-anchor="middle" font-family="Arial, sans-serif" font-size="13" fill="#38bdf8" letter-spacing="3" font-weight="bold">THE THERMAL ENGINE OF CRUSTAL EVOLUTION</text> <!-- LEFT CARD: Magma Components --> <rect x="40" y="105" width="260" height="180" rx="16" fill="#ffffff10" stroke="#ffffff10"/> <text x="60" y="135" font-family="Arial, sans-serif" font-weight="bold" font-size="18" fill="#f59e0b">01. MAGMA ANATOMY</text> <text x="60" y="155" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">The parent material of all igneous rocks.</text> <circle cx="75" cy="185" r="12" fill="#ef4444" fill-opacity="0.8"/> <text x="95" y="182" font-family="Arial, sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">MELT</text> <text x="95" y="195" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Mobile ions (Si, O, Al, Mg)</text> <rect x="63" y="210" width="24" height="24" rx="4" fill="#e879f9" fill-opacity="0.8"/> <text x="95" y="220" font-family="Arial, sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">SOLIDS</text> <text x="95" y="233" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Crystallized silicate minerals</text> <path d="M 75 245 Q 85 255 75 265 Q 65 255 75 245" fill="#38bdf8" fill-opacity="0.8"/> <text x="95" y="255" font-family="Arial, sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">VOLATILES</text> <text x="95" y="268" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Dissolved gases (H₂O, CO₂, SO₂)</text> <!-- CENTER CARD: Melting Triggers --> <rect x="320" y="105" width="260" height="180" rx="16" fill="#ffffff10" stroke="#ffffff10"/> <text x="340" y="135" font-family="Arial, sans-serif" font-weight="bold" font-size="18" fill="#f59e0b">02. MELTING TRIGGERS</text> <!-- Icon: Decompression --> <path d="M 340 170 L 360 150 L 380 170" fill="none" stroke="#38bdf8" stroke-width="2"/> <text x="390" y="165" font-family="Arial, sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">DECOMPRESSION</text> <text x="390" y="178" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Pressure drop (Mid-ocean ridges)</text> <!-- Icon: Flux --> <circle cx="360" cy="205" r="8" fill="none" stroke="#38bdf8" stroke-width="2"/> <path d="M 360 197 L 360 213 M 352 205 L 368 205" stroke="#38bdf8" stroke-width="2"/> <text x="390" y="205" font-family="Arial, sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">FLUX MELTING</text> <text x="390" y="218" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Volatile addition (Subduction)</text> <!-- Icon: Heat --> <circle cx="360" cy="245" r="10" fill="url(#magmaGrad)"/> <text x="390" y="245" font-family="Arial, sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">HEAT TRANSFER</text> <text x="390" y="258" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Rising plumes (Hotspots)</text> <!-- RIGHT CARD: Petrology --> <rect x="600" y="105" width="260" height="180" rx="16" fill="#ffffff10" stroke="#ffffff10"/> <text x="620" y="135" font-family="Arial, sans-serif" font-weight="bold" font-size="18" fill="#f59e0b">03. PETROLOGY</text> <rect x="620" y="155" width="100" height="40" rx="8" fill="#ffffff05" stroke="#ffffff20"/> <text x="670" y="175" text-anchor="middle" font-family="Arial, sans-serif" font-weight="bold" font-size="12" fill="#f8fafc">INTRUSIVE</text> <text x="670" y="188" text-anchor="middle" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8">Slow Cooling / Large Crystals</text> <rect x="730" y="155" width="100" height="40" rx="8" fill="#ffffff05" stroke="#ffffff20"/> <text x="780" y="175" text-anchor="middle" font-family="Arial, sans-serif" font-weight="bold" font-size="12" fill="#f8fafc">EXTRUSIVE</text> <text x="780" y="188" text-anchor="middle" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8">Fast Cooling / Fine Grained</text> <text x="620" y="220" font-family="Arial, sans-serif" font-weight="bold" font-size="12" fill="#e879f9">TEXTURES:</text> <text x="620" y="240" font-family="Arial, sans-serif" font-size="11" fill="#f8fafc">• Phaneritic (Visible)</text> <text x="620" y="255" font-family="Arial, sans-serif" font-size="11" fill="#f8fafc">• Aphanitic (Microscopic)</text> <text x="740" y="240" font-family="Arial, sans-serif" font-size="11" fill="#f8fafc">• Porphyritic</text> <text x="740" y="255" font-family="Arial, sans-serif" font-size="11" fill="#f8fafc">• Vitreous</text> <!-- BOTTOM CARD: Compositional Spectrum --> <rect x="40" y="305" width="820" height="220" rx="16" fill="#ffffff10" stroke="#ffffff10"/> <text x="60" y="335" font-family="Arial, sans-serif" font-weight="bold" font-size="20" fill="#f59e0b">THE COMPOSITIONAL SPECTRUM</text> <!-- Spectrum Bar --> <rect x="60" y="360" width="780" height="40" rx="20" fill="url(#spectrumGrad)"/> <!-- Spectrum Labels --> <g font-family="Arial, sans-serif" font-weight="bold" font-size="14"> <text x="157" y="420" text-anchor="middle" fill="#fecaca">FELSIC</text> <text x="352" y="420" text-anchor="middle" fill="#94a3b8">INTERMEDIATE</text> <text x="547" y="420" text-anchor="middle" fill="#64748b">MAFIC</text> <text x="742" y="420" text-anchor="middle" fill="#475569">ULTRAMAFIC</text> </g> <!-- Data Table Overlay --> <g font-family="Arial, sans-serif" font-size="11" fill="#f8fafc"> <text x="60" y="450" fill="#94a3b8" font-weight="bold">SILICA (SiO₂)</text> <text x="157" y="450" text-anchor="middle">&gt; 65%</text> <text x="352" y="450" text-anchor="middle">55 – 65%</text> <text x="547" y="450" text-anchor="middle">45 – 55%</text> <text x="742" y="450" text-anchor="middle">&lt; 45%</text> <text x="60" y="475" fill="#94a3b8" font-weight="bold">TEMP (°C)</text> <text x="157" y="475" text-anchor="middle">600 – 800</text> <text x="352" y="475" text-anchor="middle">800 – 1000</text> <text x="547" y="475" text-anchor="middle">1000 – 1200</text> <text x="742" y="475" text-anchor="middle">&gt; 1200</text> <text x="60" y="500" fill="#94a3b8" font-weight="bold">ROCK TYPE</text> <text x="157" y="500" text-anchor="middle">Rhyolite / Granite</text> <text x="352" y="500" text-anchor="middle">Andesite / Diorite</text> <text x="547" y="500" text-anchor="middle">Basalt / Gabbro</text> <text x="742" y="500" text-anchor="middle">Komatiite / Peridotite</text> </g> <!-- Bowen's Reaction Series Indicator --> <path d="M 60 535 L 840 535" stroke="#ffffff20" stroke-width="1" stroke-dasharray="4"/> <text x="450" y="550" text-anchor="middle" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8" letter-spacing="1">BOWEN'S REACTION SERIES: CRYSTALLIZATION SEQUENCE FROM RIGHT (HIGH T) TO LEFT (LOW T)</text> <!-- Decorative Accents --> <circle cx="860" cy="40" r="20" fill="#f59e0b" fill-opacity="0.1"/> <circle cx="860" cy="40" r="10" fill="#f59e0b" fill-opacity="0.2"/> <path d="M 30 30 L 50 30 M 40 20 L 40 40" stroke="#38bdf8" stroke-width="2" opacity="0.5"/> </svg>Igneous Processes and Volcanism image 1Igneous Processes and Volcanism - Geology - image 1https://www.getlykke.com/explore/public/geology-6ae93dc4-518d-4048-acd3-523e6d6aff20/media/igneous-rocks-and-volcanism/svg/1Igneous Processes and Volcanism diagram 1Igneous Processes and Volcanism - Geology - diagram 1https://www.getlykke.com/explore/public/geology-6ae93dc4-518d-4048-acd3-523e6d6aff20/media/igneous-rocks-and-volcanism/svg/2Igneous Processes and Volcanism diagram 2Igneous Processes and Volcanism - Geology - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <!-- Definitions for Gradients and Styles --> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <linearGradient id="soilGrad" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#4ade80" stop-opacity="0.2"/> <stop offset="100%" stop-color="#f59e0b" stop-opacity="0.1"/> </linearGradient> <pattern id="dotPattern" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10" /> </pattern> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dotPattern)"/> <!-- Header Section --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-size="32" font-weight="bold" fill="#f8fafc" letter-spacing="1">THE EARTH'S SURFACE ARCHIVE</text> <text x="450" y="75" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" font-style="italic">Weathering, Pedogenesis, and the Sedimentary Cycle</text> <rect x="350" y="85" width="200" height="2" fill="url(#accentGrad)" rx="1"/> <!-- Left Column: Weathering Engines --> <rect x="30" y="110" width="260" height="320" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="45" y="140" font-family="sans-serif" font-size="18" font-weight="bold" fill="#38bdf8">1. WEATHERING ENGINES</text> <!-- Mechanical Sub-section --> <g transform="translate(45, 160)"> <rect width="230" height="75" rx="8" fill="#ffffff05"/> <text x="10" y="20" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f59e0b">MECHANICAL (Physical)</text> <text x="10" y="38" font-family="sans-serif" font-size="11" fill="#cbd5e1">• Frost Wedging (Ice expansion)</text> <text x="10" y="53" font-family="sans-serif" font-size="11" fill="#cbd5e1">• Exfoliation (Pressure release)</text> <text x="10" y="68" font-family="sans-serif" font-size="11" fill="#cbd5e1">• Thermal Expansion (Arid heat)</text> <!-- Icon: Cracked Rock --> <path d="M180 20 L210 20 L220 50 L170 50 Z" fill="none" stroke="#f59e0b" stroke-width="1.5"/> <path d="M195 20 L190 35 L200 50" fill="none" stroke="#f59e0b" stroke-width="1.5"/> </g> <!-- Chemical Sub-section --> <g transform="translate(45, 245)"> <rect width="230" height="75" rx="8" fill="#ffffff05"/> <text x="10" y="20" font-family="sans-serif" font-size="13" font-weight="bold" fill="#e879f9">CHEMICAL (Decomposition)</text> <text x="10" y="38" font-family="sans-serif" font-size="11" fill="#cbd5e1">• Oxidation (Rusting / Fe2O3)</text> <text x="10" y="53" font-family="sans-serif" font-size="11" fill="#cbd5e1">• Hydrolysis (Silicate to Clay)</text> <text x="10" y="68" font-family="sans-serif" font-size="11" fill="#cbd5e1">• Carbonation (Acid dissolution)</text> <!-- Icon: Beaker --> <path d="M190 25 L190 55 A5 5 0 0 0 200 55 L200 25" fill="none" stroke="#e879f9" stroke-width="1.5"/> <circle cx="195" cy="45" r="2" fill="#e879f9"/> <circle cx="192" cy="38" r="1.5" fill="#e879f9"/> </g> <!-- Surface Area Logic --> <g transform="translate(45, 330)"> <text x="0" y="20" font-family="sans-serif" font-size="12" font-weight="bold" fill="#94a3b8">SURFACE AREA EFFECT</text> <rect x="0" y="30" width="30" height="30" fill="#38bdf833" stroke="#38bdf8"/> <text x="40" y="48" font-family="sans-serif" font-size="18" fill="#f8fafc">→</text> <g transform="translate(70, 30)"> <rect x="0" y="0" width="14" height="14" fill="#38bdf833" stroke="#38bdf8"/> <rect x="16" y="0" width="14" height="14" fill="#38bdf833" stroke="#38bdf8"/> <rect x="0" y="16" width="14" height="14" fill="#38bdf833" stroke="#38bdf8"/> <rect x="16" y="16" width="14" height="14" fill="#38bdf833" stroke="#38bdf8"/> </g> <text x="110" y="48" font-family="sans-serif" font-size="10" fill="#94a3b8">Fragmentation increases reaction sites</text> </g> <!-- Middle Column: Goldich Dissolution Series --> <rect x="310" y="110" width="280" height="320" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="325" y="140" font-family="sans-serif" font-size="18" font-weight="bold" fill="#38bdf8">2. GOLDICH SERIES</text> <text x="325" y="160" font-family="sans-serif" font-size="11" fill="#94a3b8">Mineral Stability at Surface Conditions</text> <!-- Stability Scale --> <g transform="translate(340, 180)"> <defs> <linearGradient id="stabilityGrad" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#fb7185"/> <stop offset="100%" stop-color="#38bdf8"/> </linearGradient> </defs> <rect x="0" y="0" width="12" height="220" rx="6" fill="url(#stabilityGrad)"/> <!-- Labels --> <g font-family="sans-serif" font-size="11" font-weight="bold"> <text x="25" y="15" fill="#fb7185">OLIVINE (Least Stable)</text> <text x="25" y="55" fill="#f8fafc">Pyroxene</text> <text x="25" y="95" fill="#f8fafc">Amphibole</text> <text x="25" y="135" fill="#f8fafc">Biotite / Feldspar</text> <text x="25" y="175" fill="#f8fafc">Muscovite</text> <text x="25" y="215" fill="#38bdf8">QUARTZ (Most Stable)</text> </g> <!-- Arrow heads --> <path d="M-5 10 L6 -5 L17 10" fill="none" stroke="#fb7185" stroke-width="2"/> <path d="M-5 210 L6 225 L17 210" fill="none" stroke="#38bdf8" stroke-width="2"/> </g> <!-- Right Column: Pedogenesis (Soil) --> <rect x="610" y="110" width="260" height="320" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="625" y="140" font-family="sans-serif" font-size="18" font-weight="bold" fill="#38bdf8">3. SOIL HORIZONS</text> <!-- Soil Profile --> <g transform="translate(625, 160)"> <!-- O --> <rect x="0" y="0" width="60" height="15" fill="#1a2e05" stroke="#ffffff20"/> <text x="70" y="12" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f8fafc">O: Organic</text> <!-- A --> <rect x="0" y="15" width="60" height="30" fill="#422006" stroke="#ffffff20"/> <text x="70" y="35" font-family="sans-serif" font-size="12" fill="#cbd5e1">A: Topsoil</text> <!-- E --> <rect x="0" y="45" width="60" height="25" fill="#94a3b8" stroke="#ffffff20"/> <text x="70" y="62" font-family="sans-serif" font-size="12" fill="#cbd5e1">E: Eluviated</text> <!-- B --> <rect x="0" y="70" width="60" height="45" fill="#92400e" stroke="#ffffff20"/> <text x="70" y="97" font-family="sans-serif" font-size="12" fill="#cbd5e1">B: Subsoil</text> <!-- C --> <rect x="0" y="115" width="60" height="40" fill="#78350f" stroke="#ffffff20" fill-opacity="0.6"/> <text x="70" y="140" font-family="sans-serif" font-size="12" fill="#cbd5e1">C: Regolith</text> <!-- R --> <rect x="0" y="155" width="60" height="40" fill="#334155" stroke="#ffffff20"/> <text x="70" y="180" font-family="sans-serif" font-size="12" fill="#cbd5e1">R: Bedrock</text> <!-- Grass on top --> <path d="M2 0 L5 -8 M10 0 L12 -6 M20 0 L18 -10 M30 0 L32 -7 M45 0 L43 -9 M55 0 L58 -6" stroke="#4ade80" stroke-width="1.5"/> </g> <!-- CLORPT Equation --> <g transform="translate(625, 375)"> <text x="0" y="0" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f59e0b">CLORPT EQUATION</text> <text x="0" y="25" font-family="sans-serif" font-size="16" fill="#f8fafc">S = f(Cl, O, R, P, T)</text> <text x="0" y="45" font-family="sans-serif" font-size="10" fill="#94a3b8">Climate, Organisms, Relief, Parent, Time</text> </g> <!-- Footer / Process Flow --> <rect x="30" y="450" width="840" height="80" rx="16" fill="#ffffff10" stroke="#ffffff20"/> <g transform="translate(60, 495)"> <circle cx="0" cy="0" r="15" fill="#38bdf8"/> <text x="0" y="5" text-anchor="middle" font-family="sans-serif" font-size="12" font-weight="bold" fill="#0f172a">1</text> <text x="25" y="5" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">WEATHERING</text> <line x1="130" y1="0" x2="180" y2="0" stroke="#94a3b8" stroke-dasharray="4"/> <circle cx="210" cy="0" r="15" fill="#38bdf8"/> <text x="210" y="5" text-anchor="middle" font-family="sans-serif" font-size="12" font-weight="bold" fill="#0f172a">2</text> <text x="235" y="5" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">EROSION</text> <line x1="310" y1="0" x2="360" y2="0" stroke="#94a3b8" stroke-dasharray="4"/> <circle cx="390" cy="0" r="15" fill="#38bdf8"/> <text x="390" y="5" text-anchor="middle" font-family="sans-serif" font-size="12" font-weight="bold" fill="#0f172a">3</text> <text x="415" y="5" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">TRANSPORT</text> <line x1="510" y1="0" x2="560" y2="0" stroke="#94a3b8" stroke-dasharray="4"/> <circle cx="590" cy="0" r="15" fill="#38bdf8"/> <text x="590" y="5" text-anchor="middle" font-family="sans-serif" font-size="12" font-weight="bold" fill="#0f172a">4</text> <text x="615" y="5" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">DEPOSITION</text> <line x1="710" y1="0" x2="740" y2="0" stroke="#94a3b8" stroke-dasharray="4"/> <text x="755" y="5" font-family="sans-serif" font-size="14" font-weight="bold" fill="#e879f9">LITHIFICATION</text> </g> <!-- Decorative corner elements --> <path d="M880 20 L880 50 M850 20 L880 20" fill="none" stroke="#38bdf8" stroke-width="2"/> <path d="M20 540 L20 510 M20 540 L50 540" fill="none" stroke="#38bdf8" stroke-width="2"/> </svg>Weathering, Sediments, and Sedimentary Rocks image 1Weathering, Sediments, and Sedimentary Rocks - Geology - image 1https://www.getlykke.com/explore/public/geology-6ae93dc4-518d-4048-acd3-523e6d6aff20/media/weathering-and-sedimentary-rocks/svg/1Weathering, Sediments, and Sedimentary Rocks diagram 1Weathering, Sediments, and Sedimentary Rocks - Geology - diagram 1https://www.getlykke.com/explore/public/geology-6ae93dc4-518d-4048-acd3-523e6d6aff20/media/weathering-and-sedimentary-rocks/svg/2Weathering, Sediments, and Sedimentary Rocks diagram 2Weathering, Sediments, and Sedimentary Rocks - Geology - diagram 2https://www.getlykke.com/explore/public/geology-6ae93dc4-518d-4048-acd3-523e6d6aff20/media/weathering-and-sedimentary-rocks/svg/3Weathering, Sediments, and Sedimentary Rocks diagram 3Weathering, Sediments, and Sedimentary Rocks - Geology - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg-grad" x1="0%" y1="0%" x2="0%" y2="100%"> <stop offset="0%" style="stop-color:#0f172a;stop-opacity:1" /> <stop offset="100%" style="stop-color:#1e1b4b;stop-opacity:1" /> </linearGradient> <linearGradient id="card-grad" x1="0%" y1="0%" x2="100%" y2="100%"> <stop offset="0%" style="stop-color:#ffffff15;stop-opacity:1" /> <stop offset="100%" style="stop-color:#ffffff05;stop-opacity:1" /> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg-grad)" /> <rect width="900" height="560" fill="url(#grid)" /> <!-- Header Section --> <text x="450" y="50" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-weight="800" font-size="32" letter-spacing="1">METAMORPHISM &amp; THE ROCK CYCLE</text> <text x="450" y="75" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="14" font-weight="400" letter-spacing="2">A THERMODYNAMIC NETWORK OF CRUSTAL TRANSFORMATION</text> <line x1="350" y1="85" x2="550" y2="85" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 2" /> <!-- Main Central Network --> <!-- Igneous Node --> <rect x="360" y="120" width="180" height="70" rx="12" fill="url(#card-grad)" stroke="#f43f5e" stroke-width="2" /> <text x="450" y="150" text-anchor="middle" fill="#f43f5e" font-family="sans-serif" font-weight="700" font-size="18">IGNEOUS</text> <text x="450" y="170" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="11">Crystallized Magma</text> <!-- Sedimentary Node --> <rect x="120" y="320" width="180" height="70" rx="12" fill="url(#card-grad)" stroke="#fbbf24" stroke-width="2" /> <text x="210" y="350" text-anchor="middle" fill="#fbbf24" font-family="sans-serif" font-weight="700" font-size="18">SEDIMENTARY</text> <text x="210" y="370" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="11">Lithified Sediments</text> <!-- Metamorphic Node --> <rect x="600" y="320" width="180" height="70" rx="12" fill="url(#card-grad)" stroke="#a855f7" 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<text x="400" y="359" text-anchor="middle" fill="#38bdf8" font-family="sans-serif" font-size="10" font-weight="bold">BURIAL</text> <!-- Left Sidebar: Drivers --> <rect x="30" y="120" width="220" height="160" rx="16" fill="#ffffff10" /> <text x="45" y="145" fill="#f59e0b" font-family="sans-serif" font-weight="700" font-size="16">DRIVERS OF CHANGE</text> <!-- Driver 1: Heat --> <circle cx="55" cy="175" r="8" fill="#f43f5e" /> <text x="75" y="179" fill="#f8fafc" font-family="sans-serif" font-size="12" font-weight="bold">Temperature (T)</text> <text x="75" y="192" fill="#94a3b8" font-family="sans-serif" font-size="10">Activation energy for reactions.</text> <!-- Driver 2: Pressure --> <rect x="47" y="210" width="16" height="16" rx="2" fill="#38bdf8" /> <text x="75" y="222" fill="#f8fafc" font-family="sans-serif" font-size="12" font-weight="bold">Pressure (P)</text> <text x="75" y="235" fill="#94a3b8" font-family="sans-serif" font-size="10">Lithostatic &amp; Differential stress.</text> <!-- 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x="665" y="240" fill="#94a3b8" font-family="sans-serif" font-size="11">Result → Igneous Realm</text> <text x="665" y="265" fill="#f8fafc" font-family="sans-serif" font-size="12" font-weight="bold">P = ρ · g · h</text> <!-- Bottom Quote Panel --> <rect x="150" y="450" width="600" height="70" rx="35" fill="#ffffff08" stroke="#38bdf8" stroke-width="1" stroke-opacity="0.3" /> <text x="450" y="480" text-anchor="middle" fill="#f8fafc" font-family="serif" font-style="italic" font-size="15">"The Earth is a heat engine, and the rock cycle is the physical manifestation"</text> <text x="450" y="500" text-anchor="middle" fill="#f8fafc" font-family="serif" font-style="italic" font-size="15">"of the planet's attempt to reach thermodynamic equilibrium."</text> <!-- Decorative Elements --> <circle cx="850" cy="50" r="30" fill="#f59e0b" fill-opacity="0.1" /> <circle cx="850" cy="50" r="15" fill="#f59e0b" fill-opacity="0.2" /> <circle cx="50" cy="510" r="20" fill="#38bdf8" fill-opacity="0.1" /> <!-- Markov Chain Dots (Subtle) --> <g opacity="0.4"> <circle cx="450" cy="220" r="3" fill="#f8fafc" /> <circle cx="470" cy="230" r="3" fill="#f8fafc" /> <circle cx="430" cy="230" r="3" fill="#f8fafc" /> <path d="M 430 230 L 450 220 L 470 230" stroke="#f8fafc" stroke-width="0.5" fill="none" /> </g> </svg>Metamorphism and the Rock Cycle image 1Metamorphism and the Rock Cycle - Geology - image 1https://www.getlykke.com/explore/public/geology-6ae93dc4-518d-4048-acd3-523e6d6aff20/media/metamorphism-and-rock-cycle/svg/1Metamorphism and the Rock Cycle diagram 1Metamorphism and the Rock Cycle - Geology - diagram 1https://www.getlykke.com/explore/public/geology-6ae93dc4-518d-4048-acd3-523e6d6aff20/media/metamorphism-and-rock-cycle/svg/2Metamorphism and the Rock Cycle diagram 2Metamorphism and the Rock Cycle - Geology - diagram 2https://www.getlykke.com/explore/public/geology-6ae93dc4-518d-4048-acd3-523e6d6aff20/media/geologic-time-and-history/svg/1Measuring Geologic Time and Earth History diagram 1Measuring Geologic Time and Earth History - Geology - diagram 1https://www.getlykke.com/explore/public/geology-6ae93dc4-518d-4048-acd3-523e6d6aff20/media/geologic-time-and-history/svg/2Measuring Geologic Time and Earth History diagram 2Measuring Geologic Time and Earth History - Geology - diagram 2https://www.getlykke.com/explore/public/geology-6ae93dc4-518d-4048-acd3-523e6d6aff20/media/geologic-time-and-history/svg/3Measuring Geologic Time and Earth History diagram 3Measuring Geologic Time and Earth History - Geology - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="coreGrad" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#fbbf24"/> <stop offset="100%" stop-color="#f59e0b"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background and Grid --> <rect width="900" height="560" fill="url(#bg)"/> <g stroke="#ffffff08" stroke-width="1"> <line x1="0" y1="100" x2="900" y2="100"/> <line x1="0" y1="200" x2="900" y2="200"/> <line x1="0" y1="300" x2="900" y2="300"/> <line x1="0" y1="400" x2="900" y2="400"/> <line x1="0" y1="500" x2="900" y2="500"/> <line x1="100" y1="0" x2="100" y2="560"/> <line x1="300" y1="0" x2="300" y2="560"/> <line x1="500" y1="0" x2="500" y2="560"/> <line x1="700" y1="0" x2="700" y2="560"/> </g> <!-- Header --> <text x="40" y="55" font-family="sans-serif" font-size="32" font-weight="800" fill="#f8fafc" letter-spacing="-1">EARTH'S INTERIOR &amp; TECTONICS</text> <text x="40" y="80" font-family="sans-serif" font-size="14" font-weight="400" fill="#94a3b8" text-transform="uppercase" letter-spacing="2">The Grand Unified Theory of Geology</text> <rect x="40" y="95" width="820" height="2" fill="#38bdf8" fill-opacity="0.3"/> <!-- Main Earth Slice Panel --> <rect x="40" y="120" width="440" height="400" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="150" font-family="sans-serif" font-size="18" font-weight="700" fill="#38bdf8">I. STRATIFIED STRUCTURE</text> <!-- Earth Slice Illustration --> <g transform="translate(420, 340)"> <!-- Inner Core --> <circle r="40" fill="url(#coreGrad)" filter="url(#glow)"/> <!-- Outer Core --> <path d="M -80 0 A 80 80 0 0 1 80 0" fill="none" stroke="#f97316" stroke-width="30" stroke-opacity="0.6"/> <!-- Mantle --> <path d="M -150 0 A 150 150 0 0 1 150 0" fill="none" stroke="#ea580c" stroke-width="80" stroke-opacity="0.4"/> <!-- Crust --> <path d="M -195 0 A 195 195 0 0 1 195 0" fill="none" stroke="#38bdf8" stroke-width="8"/> <!-- Labels for Slice --> <g font-family="sans-serif" font-size="11" font-weight="600"> <text x="0" y="5" text-anchor="middle" fill="#0f172a">INNER CORE</text> <text x="0" y="-65" text-anchor="middle" fill="#f8fafc">OUTER CORE (LIQUID)</text> <text x="0" y="-130" text-anchor="middle" fill="#f8fafc">MANTLE (SOLID/DUCTILE)</text> <text x="0" y="-205" text-anchor="middle" fill="#38bdf8">LITHOSPHERE (RIGID)</text> </g> </g> <!-- Compositional vs Rheological Legend --> <g transform="translate(60, 410)" font-family="sans-serif"> <text y="0" font-size="13" font-weight="700" fill="#f8fafc">COMPOSITIONAL</text> <text y="18" font-size="11" fill="#94a3b8">Crust (Silicates) • Mantle (Peridotite) • Core (Fe-Ni)</text> <text y="50" font-size="13" font-weight="700" fill="#f8fafc">RHEOLOGICAL</text> <text y="68" font-size="11" fill="#94a3b8">Lithosphere (Brittle) • Asthenosphere (Plastic)</text> </g> <!-- Isostasy Panel --> <rect x="500" y="120" width="360" height="190" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="520" y="150" font-family="sans-serif" font-size="18" font-weight="700" fill="#f59e0b">II. ISOSTASY</text> <!-- Isostasy Diagram --> <g transform="translate(520, 170)"> <rect x="0" y="60" width="320" height="40" fill="#ea580c" fill-opacity="0.2"/> <!-- Mantle --> <text x="5" y="90" font-family="sans-serif" font-size="10" fill="#ea580c">ASTHENOSPHERE (DENSE)</text> <!-- Oceanic Crust --> <rect x="20" y="55" width="80" height="10" fill="#38bdf8" rx="2"/> <text x="20" y="50" font-family="sans-serif" font-size="10" fill="#38bdf8">OCEANIC</text> <!-- Continental Crust + Root --> <path d="M 140 60 L 280 60 L 280 100 L 210 115 L 140 100 Z" fill="#94a3b8" fill-opacity="0.8"/> <rect x="140" y="30" width="140" height="30" fill="#94a3b8"/> <text x="145" y="25" font-family="sans-serif" font-size="10" fill="#f8fafc">CONTINENTAL (MTN)</text> <path d="M 210 65 L 210 110" stroke="#f59e0b" stroke-width="1" stroke-dasharray="2,2"/> <text x="215" y="95" font-family="sans-serif" font-size="10" fill="#f59e0b">ROOT (r)</text> </g> <!-- Convection Panel --> <rect x="500" y="330" width="360" height="190" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="520" y="360" font-family="sans-serif" font-size="18" font-weight="700" fill="#e879f9">III. THE ENGINE</text> <!-- Convection Diagram --> <g transform="translate(680, 440)"> <!-- Heat Source --> <circle r="15" fill="#f97316" filter="url(#glow)"/> <text x="0" y="5" text-anchor="middle" font-family="sans-serif" font-size="8" font-weight="bold" fill="#f8fafc">HEAT</text> <!-- Convection Loops --> <g fill="none" stroke-width="3" stroke-linecap="round"> <!-- Left Loop --> <path d="M -25 -10 Q -60 -60 -100 -10 Q -60 40 -25 10" stroke="#f97316" stroke-opacity="0.6"> <animate attributeName="stroke-dashoffset" from="100" to="0" dur="3s" repeatCount="indefinite" /> </path> <!-- Right Loop --> <path d="M 25 -10 Q 60 -60 100 -10 Q 60 40 25 10" stroke="#f97316" stroke-opacity="0.6"/> </g> <text x="0" y="-65" text-anchor="middle" font-family="sans-serif" font-size="12" font-weight="600" fill="#f8fafc">MANTLE CONVECTION</text> <text x="0" y="-50" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">Driving Plate Motion</text> <!-- Arrows --> <path d="M -80 -40 L -100 -50 L -120 -40" fill="none" stroke="#38bdf8" stroke-width="2"/> <text x="-100" y="-60" text-anchor="middle" font-family="sans-serif" font-size="9" fill="#38bdf8">SLAB PULL</text> </g> <!-- Footer Info --> <text x="860" y="540" text-anchor="end" font-family="sans-serif" font-size="10" fill="#475569">GEOLOGY SERIES • VOL 01 • PLATE TECTONICS</text> </svg>Earth's Interior and Plate Tectonics image 1Earth's Interior and Plate Tectonics - Geology - image 1https://www.getlykke.com/explore/public/geology-6ae93dc4-518d-4048-acd3-523e6d6aff20/media/plate-tectonics-and-interior/svg/1Earth's Interior and Plate Tectonics diagram 1Earth's Interior and Plate Tectonics - Geology - diagram 1https://www.getlykke.com/explore/public/geology-6ae93dc4-518d-4048-acd3-523e6d6aff20/media/plate-tectonics-and-interior/svg/2Earth's Interior and Plate Tectonics diagram 2Earth's Interior and Plate Tectonics - Geology - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#f59e0b"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="40" y="60" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="-1">EARTHQUAKES &amp; GEOLOGICAL STRUCTURES</text> <text x="40" y="85" font-family="sans-serif" font-size="16" fill="#94a3b8" font-weight="400">The Mechanics of Crustal Deformation and Seismic Failure</text> <rect x="40" y="105" width="120" height="4" rx="2" fill="url(#accentGrad)"/> <!-- Left Column: The Physics of Failure --> <rect x="40" y="130" width="260" height="390" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="165" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">MECHANICS</text> <!-- Stress/Strain --> <g transform="translate(60, 190)"> <circle cx="15" cy="15" r="15" fill="#38bdf820" stroke="#38bdf8" stroke-width="1.5"/> <text x="11" y="21" font-family="serif" font-style="italic" font-size="16" fill="#38bdf8">σ</text> <text x="45" y="12" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Stress</text> <text x="45" y="28" font-family="sans-serif" font-size="11" fill="#94a3b8">Force applied per unit area.</text> </g> <g transform="translate(60, 240)"> <circle cx="15" cy="15" r="15" fill="#e879f920" stroke="#e879f9" stroke-width="1.5"/> <text x="11" y="21" font-family="serif" font-style="italic" font-size="16" fill="#e879f9">ε</text> <text x="45" y="12" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Strain</text> <text x="45" y="28" font-family="sans-serif" font-size="11" fill="#94a3b8">Resulting physical change.</text> </g> <!-- Mohr's Circle Mini-Graphic --> <g transform="translate(60, 310)"> <path d="M 0 60 L 180 60 M 20 0 L 20 70" stroke="#94a3b8" stroke-width="1"/> <circle cx="90" cy="60" r="30" fill="none" stroke="#38bdf8" stroke-width="2"/> <line x1="20" y1="50" x2="180" y2="10" stroke="#f43f5e" stroke-dasharray="4"/> <text x="125" y="15" font-family="sans-serif" font-size="9" fill="#f43f5e">FAILURE ENVELOPE</text> <text x="10" y="85" font-family="sans-serif" font-size="10" fill="#94a3b8" font-weight="600">MOHR-COULOMB CRITERION</text> </g> <!-- Middle Section: Deformation Stages --> <text x="330" y="155" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">DEFORMATION STAGES</text> <g transform="translate(330, 175)"> <!-- Stage 1 --> <rect width="530" height="60" rx="12" fill="#ffffff08"/> <circle cx="30" cy="30" r="15" fill="#10b981" /> <text x="26" y="35" font-family="sans-serif" font-weight="bold" font-size="14" fill="#fff">1</text> <text x="60" y="25" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Elastic Deformation</text> <text x="60" y="42" font-family="sans-serif" font-size="12" fill="#94a3b8">Temporary bending. Stores energy like a spring. Reversible.</text> <!-- Stage 2 --> <rect y="75" width="530" height="60" rx="12" fill="#ffffff08"/> <circle cx="30" cy="105" r="15" fill="#f59e0b" /> <text x="26" y="110" font-family="sans-serif" font-weight="bold" font-size="14" fill="#fff">2</text> <text x="60" y="100" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Ductile (Plastic) Flow</text> <text x="60" y="117" font-family="sans-serif" font-size="12" fill="#94a3b8">Permanent bending. Occurs at depth (high T/P). Forms Folds.</text> <!-- Stage 3 --> <rect y="150" width="530" height="60" rx="12" fill="#ffffff08"/> <circle cx="30" cy="180" r="15" fill="#f43f5e" /> <text x="26" y="185" font-family="sans-serif" font-weight="bold" font-size="14" fill="#fff">3</text> <text x="60" y="175" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Brittle Failure</text> <text x="60" y="192" font-family="sans-serif" font-size="12" fill="#94a3b8">Fracturing and displacement. Occurs near surface. Forms Faults.</text> </g> <!-- Bottom Section: Tectonic Regimes --> <g transform="translate(330, 410)"> <text y="-10" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">TECTONIC ENVIRONMENTS</text> <!-- Compression --> <g transform="translate(0, 10)"> <rect width="165" height="100" rx="12" fill="#f59e0b15" stroke="#f59e0b40"/> <text x="15" y="25" font-family="sans-serif" font-weight="bold" font-size="13" fill="#f59e0b">COMPRESSION</text> <path d="M 40 55 L 20 55 M 30 45 L 40 55 L 30 65" stroke="#f59e0b" fill="none" stroke-width="2"/> <path d="M 125 55 L 145 55 M 135 45 L 125 55 L 135 65" stroke="#f59e0b" fill="none" stroke-width="2"/> <text x="15" y="75" font-family="sans-serif" font-size="11" fill="#f8fafc">Convergent Boundary</text> <text x="15" y="88" font-family="sans-serif" font-size="11" fill="#94a3b8" font-weight="600">Folds / Reverse Faults</text> </g> <!-- Tension --> <g transform="translate(182, 10)"> <rect width="165" height="100" rx="12" fill="#38bdf815" stroke="#38bdf840"/> <text x="15" y="25" font-family="sans-serif" font-weight="bold" font-size="13" fill="#38bdf8">TENSION</text> <path d="M 20 55 L 40 55 M 30 45 L 20 55 L 30 65" stroke="#38bdf8" fill="none" stroke-width="2"/> <path d="M 145 55 L 125 55 M 135 45 L 145 55 L 135 65" stroke="#38bdf8" fill="none" stroke-width="2"/> <text x="15" y="75" font-family="sans-serif" font-size="11" fill="#f8fafc">Divergent Boundary</text> <text x="15" y="88" font-family="sans-serif" font-size="11" fill="#94a3b8" font-weight="600">Normal Faults</text> </g> <!-- Shear --> <g transform="translate(365, 10)"> <rect width="165" height="100" rx="12" fill="#e879f915" stroke="#e879f940"/> <text x="15" y="25" font-family="sans-serif" font-weight="bold" font-size="13" fill="#e879f9">SHEAR</text> <path d="M 40 45 L 125 45 M 115 35 L 125 45 L 115 55" stroke="#e879f9" fill="none" stroke-width="2"/> <path d="M 125 65 L 40 65 M 50 55 L 40 65 L 50 75" stroke="#e879f9" fill="none" stroke-width="2"/> <text x="15" y="75" font-family="sans-serif" font-size="11" fill="#f8fafc">Transform Boundary</text> <text x="15" y="88" font-family="sans-serif" font-size="11" fill="#94a3b8" font-weight="600">Strike-Slip Faults</text> </g> </g> <!-- Decorative Element --> <path d="M 800 50 Q 850 100 800 150 T 800 250" fill="none" stroke="url(#accentGrad)" stroke-width="2" opacity="0.3"/> <circle cx="850" cy="480" r="60" fill="#ffffff05" stroke="#ffffff10"/> <circle cx="850" cy="480" r="40" fill="#ffffff05" stroke="#ffffff10"/> </svg>Earthquakes and Geological Structures image 1Earthquakes and Geological Structures - Geology - image 1https://www.getlykke.com/explore/public/geology-6ae93dc4-518d-4048-acd3-523e6d6aff20/media/earthquakes-and-structures/svg/1Earthquakes and Geological Structures diagram 1Earthquakes and Geological Structures - Geology - diagram 1https://www.getlykke.com/explore/public/geology-6ae93dc4-518d-4048-acd3-523e6d6aff20/media/earthquakes-and-structures/svg/2Earthquakes and Geological Structures diagram 2Earthquakes and Geological Structures - Geology - diagram 2https://www.getlykke.com/explore/public/geology-6ae93dc4-518d-4048-acd3-523e6d6aff20/media/earthquakes-and-structures/svg/3Earthquakes and Geological Structures diagram 3Earthquakes and Geological Structures - Geology - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="waterGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8" stop-opacity="0.8"/> <stop offset="100%" stop-color="#818cf8" stop-opacity="0.8"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="40" y="50" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">HYDROLOGY</text> <text x="245" y="50" font-family="sans-serif" font-weight="300" font-size="32" fill="#38bdf8">THE DYNAMICS OF WATER</text> <rect x="40" y="65" width="120" height="4" fill="#f59e0b" rx="2"/> <text x="40" y="85" font-family="sans-serif" font-size="14" fill="#94a3b8" letter-spacing="1">STREAMS • FLOODS • GROUNDWATER</text> <!-- Left Panel: Surface Systems --> <rect x="40" y="110" width="400" height="280" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="60" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#f8fafc">SURFACE DYNAMICS</text> <!-- Stream Profile Graphic --> <path d="M 70 280 Q 150 280, 200 220 T 380 180" fill="none" stroke="#38bdf8" stroke-width="3" stroke-dasharray="4 2"/> <circle cx="75" cy="180" r="4" fill="#f59e0b"/> <text x="85" y="185" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f8fafc">HEADWATERS</text> <text x="85" y="200" font-family="sans-serif" font-size="11" fill="#94a3b8">Erosional Dominance (V-Valleys)</text> <circle cx="210" cy="230" r="4" fill="#f59e0b"/> <text x="220" y="235" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f8fafc">TRUNK STREAM</text> <text x="220" y="250" font-family="sans-serif" font-size="11" fill="#94a3b8">Transport Dominance (Meandering)</text> <circle cx="340" cy="280" r="4" fill="#f59e0b"/> <text x="240" y="310" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f8fafc" text-anchor="end">MOUTH / DELTA</text> <text x="240" y="325" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="end">Depositional Dominance</text> <!-- Manning's Snippet --> <rect x="60" y="340" width="360" height="35" rx="8" fill="#00000040"/> <text x="75" y="362" font-family="monospace" font-size="12" fill="#e879f9">v = (1/n) * R^(2/3) * S^(1/2)</text> <text x="310" y="362" font-family="sans-serif" font-size="10" fill="#94a3b8">MANNING'S EQUATION</text> <!-- Right Panel: Groundwater --> <rect x="460" y="110" width="400" height="280" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="480" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#f8fafc">THE HIDDEN RESERVOIR</text> <!-- Porosity/Permeability Visual --> <g transform="translate(480, 160)"> <!-- Porous Material --> <rect width="180" height="100" rx="8" fill="#1e293b" stroke="#38bdf820"/> <text x="10" y="-10" font-family="sans-serif" font-size="12" fill="#38bdf8">HIGH POROSITY</text> <circle cx="30" cy="30" r="12" fill="#94a3b830" stroke="#94a3b8"/> <circle cx="60" cy="30" r="12" fill="#94a3b830" stroke="#94a3b8"/> <circle cx="90" cy="30" r="12" fill="#94a3b830" stroke="#94a3b8"/> <circle cx="30" cy="70" r="12" fill="#94a3b830" stroke="#94a3b8"/> <circle cx="60" cy="70" r="12" fill="#94a3b830" stroke="#94a3b8"/> <circle cx="90" cy="70" r="12" fill="#94a3b830" stroke="#94a3b8"/> <path d="M 42 30 H 48 M 72 30 H 78 M 42 70 H 48" stroke="#f59e0b" stroke-width="2"/> <text x="115" y="55" font-family="sans-serif" font-size="10" fill="#94a3b8">Interconnected pores</text> <text x="115" y="70" font-family="sans-serif" font-size="10" fill="#94a3b8">allow fluid flow.</text> </g> <g transform="translate(480, 285)"> <text x="0" y="0" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">AQUIFER TYPES</text> <rect y="10" width="360" height="1" fill="#ffffff20"/> <text x="0" y="30" font-family="sans-serif" font-size="11" fill="#94a3b8">GRAVEL: 25-40% Porosity (Excellent)</text> <text x="0" y="50" font-family="sans-serif" font-size="11" fill="#94a3b8">SANDSTONE: 5-30% Porosity (Common)</text> <text x="0" y="70" font-family="sans-serif" font-size="11" fill="#94a3b8">CLAY: 40-70% Porosity (Aquitard - Low Permeability)</text> </g> <!-- Bottom Panel: The Water Table --> <rect x="40" y="410" width="820" height="120" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="60" y="440" font-family="sans-serif" font-weight="700" font-size="16" fill="#f8fafc">CROSS-SECTION: THE WATER TABLE</text> <!-- Stylized Cross Section --> <path d="M 60 500 Q 200 460, 400 490 T 840 470" fill="none" stroke="#94a3b8" stroke-width="1"/> <path d="M 60 510 Q 200 475, 400 500 T 840 485" fill="none" stroke="#38bdf8" stroke-width="2" stroke-dasharray="8 4"/> <text x="150" y="475" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">VADOSE ZONE (Unsaturated)</text> <text x="150" y="515" font-family="sans-serif" font-size="11" fill="#38bdf8" text-anchor="middle">PHREATIC ZONE (Saturated)</text> <rect x="450" y="445" width="380" height="70" rx="8" fill="#ffffff05"/> <text x="465" y="465" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f59e0b">KEY FACT:</text> <text x="465" y="485" font-family="sans-serif" font-size="12" fill="#f8fafc">Groundwater represents 98% of Earth's liquid freshwater.</text> <text x="465" y="502" font-family="sans-serif" font-size="12" fill="#f8fafc">It moves through pores and fractures, not underground rivers.</text> <!-- Decorative elements --> <circle cx="850" cy="50" r="20" fill="none" stroke="#38bdf8" stroke-width="1" stroke-opacity="0.3"/> <circle cx="850" cy="50" r="12" fill="none" stroke="#f59e0b" stroke-width="1" stroke-opacity="0.3"/> <path d="M 840 50 H 860 M 850 40 V 60" stroke="#f8fafc" stroke-width="1" stroke-opacity="0.5"/> </svg>Hydrology: Streams, Floods, and Groundwater image 1Hydrology: Streams, Floods, and Groundwater - Geology - image 1https://www.getlykke.com/explore/public/geology-6ae93dc4-518d-4048-acd3-523e6d6aff20/media/hydrology-streams-and-groundwater/svg/1Hydrology: Streams, Floods, and Groundwater diagram 1Hydrology: Streams, Floods, and Groundwater - Geology - diagram 1https://www.getlykke.com/explore/public/geology-6ae93dc4-518d-4048-acd3-523e6d6aff20/media/hydrology-streams-and-groundwater/svg/2Hydrology: Streams, Floods, and Groundwater diagram 2Hydrology: Streams, Floods, and Groundwater - Geology - diagram 2https://www.getlykke.com/explore/public/geology-6ae93dc4-518d-4048-acd3-523e6d6aff20/media/hydrology-streams-and-groundwater/svg/3Hydrology: Streams, Floods, and Groundwater diagram 3Hydrology: Streams, Floods, and Groundwater - Geology - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="cardGrad" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#ffffff1a"/> <stop offset="100%" stop-color="#ffffff05"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <!-- Decorative Grid --> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="450" y="50" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-weight="800" font-size="32" letter-spacing="2">EARTH IN MOTION</text> <text x="450" y="75" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="14" font-weight="400">MECHANICS OF MASS WASTING &amp; GLACIATION</text> <rect x="400" y="85" width="100" height="3" fill="#f59e0b" rx="1.5"/> <!-- Left Panel: Mass Wasting --> <rect x="40" y="110" width="400" height="280" rx="16" fill="url(#cardGrad)" stroke="#ffffff10" stroke-width="1"/> <text x="60" y="145" fill="#f59e0b" font-family="sans-serif" font-weight="700" font-size="20">MASS WASTING</text> <text x="60" y="165" fill="#94a3b8" font-family="sans-serif" font-size="12">Gravity-driven transport of lithospheric material.</text> <!-- Slope Diagram --> <path d="M 80 340 L 320 340 L 320 200 Z" fill="#334155" stroke="#475569" stroke-width="2"/> <path d="M 120 340 L 320 220" stroke="#f59e0b" stroke-width="3" stroke-dasharray="4 2" opacity="0.6"/> <circle cx="220" cy="280" r="25" fill="#475569" stroke="#f8fafc" stroke-width="2"/> <!-- Forces --> <path d="M 220 280 L 220 320" stroke="#f8fafc" stroke-width="2" marker-end="url(#arrow)"/> <!-- Gravity --> <path d="M 220 280 L 260 255" stroke="#e879f9" stroke-width="2"/> <!-- Shear --> <text x="230" y="325" fill="#f8fafc" font-family="sans-serif" font-size="10">G</text> <text x="265" y="250" fill="#e879f9" font-family="sans-serif" font-size="10">Shear Stress</text> <!-- Right Panel: Glaciation --> <rect x="460" y="110" width="400" height="280" rx="16" fill="url(#cardGrad)" stroke="#ffffff10" stroke-width="1"/> <text x="480" y="145" fill="#38bdf8" font-family="sans-serif" font-weight="700" font-size="20">GLACIATION</text> <text x="480" y="165" fill="#94a3b8" font-family="sans-serif" font-size="12">Plastic flow of crystalline H₂O under pressure.</text> <!-- Glacier Diagram --> <path d="M 500 220 Q 650 200 820 340 L 500 340 Z" fill="#0ea5e9" opacity="0.3"/> <path d="M 500 220 Q 650 200 820 340" stroke="#38bdf8" stroke-width="3" fill="none"/> <!-- Flow Arrows --> <path d="M 550 250 Q 600 260 650 280" stroke="#f8fafc" stroke-width="2" fill="none" opacity="0.8"/> <path d="M 560 280 Q 610 290 660 310" stroke="#f8fafc" stroke-width="2" fill="none" opacity="0.8"/> <circle cx="750" cy="320" r="15" fill="#f8fafc20" stroke="#38bdf8" stroke-dasharray="2 1"/> <text x="710" y="355" fill="#38bdf8" font-family="sans-serif" font-size="10" font-weight="bold">PLASTIC DEFORMATION</text> <!-- Bottom Panel: Physics --> <rect x="40" y="410" width="820" height="120" rx="16" fill="#ffffff08" stroke="#ffffff10" stroke-width="1"/> <!-- Formula Section --> <text x="70" y="445" fill="#f8fafc" font-family="sans-serif" font-weight="700" font-size="16">THE FACTOR OF SAFETY (Fs)</text> <rect x="70" y="460" width="280" height="50" rx="8" fill="#00000030"/> <text x="85" y="492" fill="#f8fafc" font-family="serif" font-style="italic" font-size="22">Fs = Σ Resisting / Σ Driving</text> <!-- Status Indicators --> <g transform="translate(400, 440)"> <circle cx="20" cy="20" r="12" fill="#22c55e" opacity="0.2"/> <circle cx="20" cy="20" r="5" fill="#22c55e"/> <text x="45" y="25" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="bold">Fs &gt; 1.0 : STABLE</text> <circle cx="20" cy="55" r="12" fill="#ef4444" opacity="0.2"/> <circle cx="20" cy="55" r="5" fill="#ef4444"/> <text x="45" y="60" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="bold">Fs ≤ 1.0 : FAILURE</text> </g> <!-- Parameters --> <g transform="translate(620, 435)"> <text x="0" y="15" fill="#94a3b8" font-family="sans-serif" font-size="11" font-weight="bold">KEY VARIABLES</text> <text x="0" y="35" fill="#f8fafc" font-family="sans-serif" font-size="12">• Slope Angle (α)</text> <text x="0" y="55" fill="#f8fafc" font-family="sans-serif" font-size="12">• Pore Pressure (u)</text> <text x="0" y="75" fill="#f8fafc" font-family="sans-serif" font-size="12">• Cohesion (c)</text> <text x="130" y="35" fill="#f8fafc" font-family="sans-serif" font-size="12">• Friction (φ)</text> <text x="130" y="55" fill="#f8fafc" font-family="sans-serif" font-size="12">• Vegetation</text> <text x="130" y="75" fill="#f8fafc" font-family="sans-serif" font-size="12">• Seismicity</text> </g> <!-- Markers --> <defs> <marker id="arrow" markerWidth="10" markerHeight="10" refX="9" refY="3" orient="auto" markerUnits="strokeWidth"> <path d="M0,0 L0,6 L9,3 z" fill="#f8fafc" /> </marker> </defs> </svg>Mass Wasting and Glaciation image 1Mass Wasting and Glaciation - Geology - image 1https://www.getlykke.com/explore/public/geology-6ae93dc4-518d-4048-acd3-523e6d6aff20/media/mass-wasting-and-glaciation/svg/1Mass Wasting and Glaciation diagram 1Mass Wasting and Glaciation - Geology - diagram 1https://www.getlykke.com/explore/public/geology-6ae93dc4-518d-4048-acd3-523e6d6aff20/media/mass-wasting-and-glaciation/svg/2Mass Wasting and Glaciation diagram 2Mass Wasting and Glaciation - Geology - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="oceanGrad" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#38bdf8" stop-opacity="0.2"/> <stop offset="100%" stop-color="#38bdf8" stop-opacity="0.05"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> 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fill="#94a3b8" text-anchor="middle">SURFACE SUBMERGED</text> <!-- Comparison Panels --> <!-- Active Margin --> <rect x="40" y="110" width="400" height="160" rx="16" fill="#ffffff08" stroke="#e879f933"/> <circle cx="70" cy="140" r="12" fill="#e879f9"/> <path d="M65 140l10 0M70 135l0 10" stroke="white" stroke-width="2"/> <text x="95" y="145" font-family="sans-serif" font-weight="bold" font-size="18" fill="#f8fafc">ACTIVE MARGINS</text> <text x="70" y="175" font-family="sans-serif" font-size="13" fill="#cbd5e1">• High Tectonic Activity (Subduction)</text> <text x="70" y="195" font-family="sans-serif" font-size="13" fill="#cbd5e1">• Narrow Continental Shelves</text> <text x="70" y="215" font-family="sans-serif" font-size="13" fill="#cbd5e1">• Deep-Ocean Trenches present</text> <text x="70" y="245" font-family="sans-serif" font-weight="bold" font-size="11" fill="#e879f9" letter-spacing="1">EXAMPLE: WEST COAST, SOUTH AMERICA</text> <!-- Passive Margin --> <rect x="460" y="110" width="400" 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font-size="9">PELAGIC SEDIMENT SINK</text> <!-- Mid-Ocean Ridge --> <text x="530" y="390" fill="#f59e0b" text-anchor="middle">MID-OCEAN RIDGE</text> <path d="M530 400 l0 20" stroke="#f59e0b" stroke-width="1"/> <text x="530" y="375" fill="#94a3b8" text-anchor="middle" font-weight="normal" font-size="9">SEAFLOOR SPREADING</text> <!-- Active Side --> <text x="815" y="550" fill="#e879f9" text-anchor="middle">TRENCH</text> <path d="M815 535 l0 -15" stroke="#e879f9" stroke-width="1"/> <text x="815" y="340" fill="#94a3b8" text-anchor="middle">ACTIVE MARGIN</text> </g> <!-- Depth Scale --> <g stroke="#94a3b8" stroke-width="1" opacity="0.5"> <line x1="55" y1="350" x2="65" y2="350"/> <line x1="55" y1="410" x2="65" y2="410"/> <line x1="55" y1="475" x2="65" y2="475"/> <line x1="55" y1="530" x2="65" y2="530"/> </g> <g font-family="sans-serif" font-size="9" fill="#94a3b8"> <text x="70" y="353">0m</text> <text x="70" y="413">2,000m</text> <text x="70" y="478">5,000m</text> <text x="70" y="533">11,000m</text> </g> <!-- Crust Composition Labels --> <rect x="280" y="305" width="340" height="35" rx="8" fill="#ffffff05" stroke="#ffffff10"/> <text x="300" y="327" font-family="sans-serif" font-size="12" fill="#f8fafc"> <tspan font-weight="bold" fill="#f59e0b">CRUST:</tspan> <tspan fill="#cbd5e1" dx="10">Continental (Granitic / Thick)</tspan> <tspan fill="#38bdf8" dx="20">Oceanic (Basaltic / Thin)</tspan> </text> <!-- Decorative Elements --> <circle cx="850" cy="50" r="30" fill="none" stroke="#ffffff05" stroke-width="8"/> <circle cx="850" cy="50" r="15" fill="none" stroke="#ffffff05" stroke-width="4"/> </svg>Geology of the Oceans and Shorelines image 1Geology of the Oceans and Shorelines - Geology - image 1https://www.getlykke.com/explore/public/geology-6ae93dc4-518d-4048-acd3-523e6d6aff20/media/oceans-and-shorelines/svg/1Geology of the Oceans and Shorelines diagram 1Geology of the Oceans and Shorelines - Geology - diagram 1https://www.getlykke.com/explore/public/geology-6ae93dc4-518d-4048-acd3-523e6d6aff20/media/oceans-and-shorelines/svg/2Geology of the Oceans and Shorelines diagram 2Geology of the Oceans and Shorelines - Geology - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff08" /> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background and Texture --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Subtle Grid Lines --> <g stroke="#ffffff0a" stroke-width="1"> <line x1="0" y1="100" x2="900" y2="100" /> <line x1="0" y1="200" x2="900" y2="200" /> <line x1="0" y1="300" x2="900" y2="300" /> <line x1="0" y1="400" x2="900" y2="400" /> <line x1="0" y1="500" x2="900" y2="500" /> </g> <!-- Header Section --> <text x="40" y="55" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="-0.5">CLIMATE CHANGE &amp; ENVIRONMENTAL GEOLOGY</text> <text x="40" y="80" font-family="sans-serif" font-weight="400" font-size="14" fill="#94a3b8" text-transform="uppercase" letter-spacing="2">Earth System Science (ESS) &amp; Radiative Dynamics</text> <rect x="40" y="95" width="120" height="4" rx="2" fill="#f59e0b" /> <!-- Column 1: The Earth System (Spheres) --> <rect x="40" y="120" width="260" height="410" rx="16" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <text x="60" y="150" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">THE EARTH SYSTEM</text> <!-- Sphere: Atmosphere --> <g transform="translate(60, 170)"> <circle cx="15" cy="15" r="15" fill="#38bdf820" stroke="#38bdf8" stroke-width="1.5"/> <path d="M8 12 Q15 8 22 12 M8 18 Q15 14 22 18" stroke="#38bdf8" fill="none" stroke-linecap="round"/> <text x="40" y="12" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">Atmosphere</text> <text x="40" y="26" font-family="sans-serif" font-size="11" fill="#94a3b8">Heat transport &amp; insulation</text> </g> <!-- Sphere: Hydrosphere --> <g transform="translate(60, 225)"> <circle cx="15" cy="15" r="15" fill="#38bdf820" stroke="#38bdf8" stroke-width="1.5"/> <path d="M8 18 Q11 12 15 18 T22 18" stroke="#38bdf8" fill="none" stroke-linecap="round"/> <text x="40" y="12" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">Hydrosphere</text> <text x="40" y="26" font-family="sans-serif" font-size="11" fill="#94a3b8">Thermal inertia &amp; CO2 sink</text> </g> <!-- Sphere: Cryosphere --> <g transform="translate(60, 280)"> <circle cx="15" cy="15" r="15" fill="#38bdf820" stroke="#38bdf8" stroke-width="1.5"/> <path d="M15 8 L15 22 M8 15 L22 15 M10 10 L20 20 M10 20 L20 10" stroke="#38bdf8" fill="none" stroke-linecap="round"/> <text x="40" y="12" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">Cryosphere</text> <text x="40" y="26" font-family="sans-serif" font-size="11" fill="#94a3b8">Albedo &amp; sea-level storage</text> </g> <!-- Sphere: Geosphere --> <g transform="translate(60, 335)"> <circle cx="15" cy="15" r="15" fill="#38bdf820" stroke="#38bdf8" stroke-width="1.5"/> <path d="M8 22 L15 8 L22 22 Z" stroke="#38bdf8" fill="none" stroke-linecap="round"/> <text x="40" y="12" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">Geosphere</text> <text x="40" y="26" font-family="sans-serif" font-size="11" fill="#94a3b8">Long-term carbon storage</text> </g> <!-- Sphere: Biosphere --> <g transform="translate(60, 390)"> <circle cx="15" cy="15" r="15" fill="#38bdf820" stroke="#38bdf8" stroke-width="1.5"/> <path d="M15 22 C15 22 22 15 22 10 C22 5 15 5 15 5 C15 5 8 5 8 10 C8 15 15 22 15 22" stroke="#38bdf8" fill="none" stroke-linecap="round"/> <text x="40" y="12" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">Biosphere</text> <text x="40" y="26" font-family="sans-serif" font-size="11" fill="#94a3b8">Rapid carbon cycling</text> </g> <!-- Column 2: Radiative Balance (Greenhouse Effect) --> <rect x="320" y="120" width="260" height="410" rx="16" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <text x="340" y="150" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">RADIATIVE BALANCE</text> <!-- Greenhouse Diagram --> <g transform="translate(340, 180)"> <!-- Sun --> <circle cx="30" cy="30" r="15" fill="#f59e0b" filter="glow"/> <g stroke="#f59e0b" stroke-width="2"> <line x1="30" y1="5" x2="30" y2="10"/> <line x1="30" y1="50" x2="30" y2="55"/> <line x1="5" y1="30" x2="10" y2="30"/> <line x1="50" y1="30" x2="55" y2="30"/> </g> <!-- Earth Surface --> <path d="M20 180 Q110 160 200 180" stroke="#94a3b8" stroke-width="4" fill="none"/> <path d="M20 150 Q110 130 200 150" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 4" fill="none" opacity="0.5"/> <text x="100" y="145" font-family="sans-serif" font-size="10" fill="#38bdf8" text-anchor="middle">Atmosphere Layer</text> <!-- Incoming Solar --> <path d="M45 45 L100 165" stroke="#f59e0b" stroke-width="3" marker-end="url(#arrow-gold)"/> <text x="55" y="100" font-family="sans-serif" font-size="10" fill="#f59e0b" transform="rotate(65 55 100)">Shortwave (UV/Vis)</text> <!-- Outgoing Terrestrial --> <path d="M110 165 L130 145 Q150 120 130 100" stroke="#e879f9" stroke-width="3" fill="none"/> <path d="M130 145 L160 165" stroke="#e879f9" stroke-width="3" fill="none"/> <text x="140" y="90" font-family="sans-serif" font-size="10" fill="#e879f9">Longwave (IR) Trapped</text> </g> <!-- Stefan-Boltzmann Formula --> <rect x="340" y="400" width="220" height="100" rx="8" fill="#00000030"/> <text x="355" y="425" font-family="serif" font-style="italic" font-size="16" fill="#f8fafc">P = σ A T⁴</text> <text x="355" y="445" font-family="sans-serif" font-size="11" fill="#94a3b8">σ = 5.67 × 10⁻⁸ W m⁻² K⁻⁴</text> <text x="355" y="465" font-family="sans-serif" font-size="11" fill="#f8fafc">Natural GHE: +33°C</text> <text x="355" y="480" font-family="sans-serif" font-size="10" fill="#94a3b8">Keeps Earth habitable (15°C avg)</text> <!-- Column 3: Feedback & Proxies --> <rect x="600" y="120" width="260" height="410" rx="16" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <text x="620" y="150" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">FEEDBACK LOOPS</text> <!-- Positive Feedback --> <g transform="translate(620, 170)"> <rect width="220" height="70" rx="8" fill="#f43f5e15" stroke="#f43f5e" stroke-width="1"/> <text x="10" y="20" font-family="sans-serif" font-weight="700" font-size="12" fill="#f43f5e">POSITIVE (Amplifying)</text> <text x="10" y="40" font-family="sans-serif" font-size="11" fill="#f8fafc">Ice-Albedo: Temp ↑ → Ice ↓</text> <text x="10" y="55" font-family="sans-serif" font-size="11" fill="#f8fafc">→ Albedo ↓ → Absorption ↑</text> <path d="M190 20 L210 20 L210 50 L190 50" stroke="#f43f5e" fill="none" stroke-width="2"/> <path d="M190 50 L195 45 M190 50 L195 55" stroke="#f43f5e" fill="none" stroke-width="2"/> </g> <!-- Negative Feedback --> <g transform="translate(620, 255)"> <rect width="220" height="70" rx="8" fill="#10b98115" stroke="#10b981" stroke-width="1"/> <text x="10" y="20" font-family="sans-serif" font-weight="700" font-size="12" fill="#10b981">NEGATIVE (Stabilizing)</text> <text x="10" y="40" font-family="sans-serif" font-size="11" fill="#f8fafc">CO2 Greening: CO2 ↑ → Plant ↑</text> <text x="10" y="55" font-family="sans-serif" font-size="11" fill="#f8fafc">→ Photosynthesis ↑ → CO2 ↓</text> <path d="M210 20 L190 20 L190 50 L210 50" stroke="#10b981" fill="none" stroke-width="2"/> <path d="M210 50 L205 45 M210 50 L205 55" stroke="#10b981" fill="none" stroke-width="2"/> </g> <!-- Paleoclimate Proxies --> <text x="620" y="360" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">GEOLOGIC PROXIES</text> <g transform="translate(620, 380)"> <rect width="220" height="120" rx="8" fill="#ffffff05" stroke="#ffffff10" stroke-width="1"/> <text x="10" y="25" font-family="sans-serif" font-weight="700" font-size="13" fill="#f8fafc">δ¹⁸O Isotope Ratios</text> <text x="10" y="45" font-family="sans-serif" font-size="11" fill="#94a3b8">Heavy oxygen (¹⁸O) enrichment</text> <text x="10" y="60" font-family="sans-serif" font-size="11" fill="#94a3b8">in oceans indicates glacial growth.</text> <line x1="10" y1="80" x2="210" y2="80" stroke="#ffffff20" stroke-width="1"/> <text x="10" y="100" font-family="sans-serif" font-weight="700" font-size="13" fill="#f8fafc">Ice Cores</text> <text x="10" y="112" font-family="sans-serif" font-size="11" fill="#94a3b8">Trapped gas bubbles (CO2, CH4)</text> </g> <!-- Markers --> <defs> <marker id="arrow-gold" markerWidth="10" markerHeight="10" refX="9" refY="3" orient="auto" markerUnits="strokeWidth"> <path d="M0,0 L0,6 L9,3 z" fill="#f59e0b" /> </marker> </defs> </svg>Climate Change and Environmental Geology image 1Climate Change and Environmental Geology - Geology - image 1https://www.getlykke.com/explore/public/geology-6ae93dc4-518d-4048-acd3-523e6d6aff20/media/climate-change-and-environmental-geology/svg/1Climate Change and Environmental Geology diagram 1Climate Change and Environmental Geology - Geology - diagram 1https://www.getlykke.com/explore/public/geology-6ae93dc4-518d-4048-acd3-523e6d6aff20/media/climate-change-and-environmental-geology/svg/2Climate Change and Environmental Geology diagram 2Climate Change and Environmental Geology - Geology - diagram 2https://www.getlykke.com/explore/public/geology-6ae93dc4-518d-4048-acd3-523e6d6aff20/media/climate-change-and-environmental-geology/svg/3Climate Change and Environmental Geology diagram 3Climate Change and Environmental Geology - Geology - diagram 3https://www.getlykke.com/explore/public/environmental-science-ha-and-schleiger-a29b7243-7e25-487c-82eb-885dbc3d06692026-04-20T05:02:13.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dots" width="25" height="25" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff0a"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Header --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-size="32" font-weight="bold" fill="#f8fafc" letter-spacing="1">FOUNDATIONS &amp; THE SCIENTIFIC METHOD</text> <rect x="350" y="65" width="200" height="3" fill="#38bdf8" rx="1.5"/> <text x="450" y="85" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" font-style="italic">The Systematic Study of Our Environment and Proper Place Within It</text> <!-- Left Panel: The Scientific Method (Iterative Process) --> <rect x="30" y="110" width="410" height="420" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="50" y="140" font-family="sans-serif" font-size="18" font-weight="bold" fill="#f59e0b">THE SCIENTIFIC METHOD</text> <text x="50" y="160" font-family="sans-serif" font-size="12" fill="#94a3b8">An iterative framework to minimize bias and maximize reliability.</text> <!-- Process Flow --> <g transform="translate(60, 180)"> <!-- Step 1 --> <circle cx="30" cy="30" r="22" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <text x="30" y="35" text-anchor="middle" font-family="sans-serif" font-size="16" font-weight="bold" fill="#38bdf8">1</text> <text x="65" y="25" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">Observation</text> <text x="65" y="40" font-family="sans-serif" font-size="11" fill="#94a3b8">Identifying patterns in the natural world.</text> <!-- Step 2 --> <circle cx="30" cy="85" r="22" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <text x="30" y="90" text-anchor="middle" font-family="sans-serif" font-size="16" font-weight="bold" fill="#38bdf8">2</text> <text x="65" y="80" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">Question &amp; Hypothesis</text> <text x="65" y="95" font-family="sans-serif" font-size="11" fill="#94a3b8">Formulating falsifiable, testable queries.</text> <!-- Step 3 --> <circle cx="30" cy="140" r="22" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <text x="30" y="145" text-anchor="middle" font-family="sans-serif" font-size="16" font-weight="bold" fill="#38bdf8">3</text> <text x="65" y="135" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">Experimentation</text> <text x="65" y="150" font-family="sans-serif" font-size="11" fill="#94a3b8">Controlled tests: Independent vs. Dependent variables.</text> <!-- Step 4 --> <circle cx="30" cy="195" r="22" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <text x="30" y="200" text-anchor="middle" font-family="sans-serif" font-size="16" font-weight="bold" fill="#38bdf8">4</text> <text x="65" y="190" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">Data Analysis</text> <text x="65" y="205" font-family="sans-serif" font-size="11" fill="#94a3b8">Statistical tools to reject the Null Hypothesis (H₀).</text> <!-- Step 5 --> <circle cx="30" cy="250" r="22" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <text x="30" y="255" text-anchor="middle" font-family="sans-serif" font-size="16" font-weight="bold" fill="#38bdf8">5</text> <text x="65" y="245" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">Peer Review</text> <text x="65" y="260" font-family="sans-serif" font-size="11" fill="#94a3b8">Critique and replication by the global community.</text> <!-- Connectors --> <line x1="30" y1="52" x2="30" y2="63" stroke="#38bdf840" stroke-width="2"/> <line x1="30" y1="107" x2="30" y2="118" stroke="#38bdf840" stroke-width="2"/> <line x1="30" y1="162" x2="30" y2="173" stroke="#38bdf840" stroke-width="2"/> <line x1="30" y1="217" x2="30" y2="228" stroke="#38bdf840" stroke-width="2"/> <!-- Loop back arrow --> <path d="M 30 272 L 30 300 L -15 300 L -15 30 L 8 30" fill="none" stroke="#f59e0b" stroke-width="2" stroke-dasharray="4 2"/> <polygon points="8,25 15,30 8,35" fill="#f59e0b"/> <text x="0" y="315" font-family="sans-serif" font-size="10" fill="#f59e0b" font-weight="bold">ITERATIVE REFINEMENT</text> </g> <!-- Right Top: Reasoning Paradigms --> <rect x="460" y="110" width="410" height="160" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="480" y="140" font-family="sans-serif" font-size="18" font-weight="bold" fill="#e879f9">REASONING PARADIGMS</text> <!-- Inductive --> <rect x="480" y="155" width="180" height="95" rx="8" fill="#ffffff05"/> <text x="490" y="175" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Inductive (Bottom-Up)</text> <text x="490" y="192" font-family="sans-serif" font-size="11" fill="#94a3b8">Specific obs. → General rule</text> <path d="M 570 235 L 570 205" stroke="#e879f9" stroke-width="2" marker-end="url(#arrowhead)"/> <circle cx="570" cy="235" r="3" fill="#e879f9"/> <!-- Deductive --> <rect x="675" y="155" width="180" height="95" rx="8" fill="#ffffff05"/> <text x="685" y="175" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Deductive (Top-Down)</text> <text x="685" y="192" font-family="sans-serif" font-size="11" fill="#94a3b8">General principle → Prediction</text> <path d="M 765 205 L 765 235" stroke="#e879f9" stroke-width="2"/> <circle cx="765" cy="205" r="3" fill="#e879f9"/> <polygon points="760,230 765,238 770,230" fill="#e879f9"/> <!-- Right Bottom: Meta-Discipline & IPAT --> <rect x="460" y="285" width="410" height="245" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="480" y="315" font-family="sans-serif" font-size="18" font-weight="bold" fill="#10b981">THE INTERDISCIPLINARY NEXUS</text> <!-- Venn Diagram Concept --> <g transform="translate(520, 330)"> <circle cx="60" cy="60" r="50" fill="#38bdf820" stroke="#38bdf880" stroke-width="1"/> <circle cx="100" cy="60" r="50" fill="#e879f920" stroke="#e879f980" stroke-width="1"/> <circle cx="80" cy="95" r="50" fill="#f59e0b20" stroke="#f59e0b80" stroke-width="1"/> <text x="80" y="75" text-anchor="middle" font-family="sans-serif" font-size="10" font-weight="bold" fill="#f8fafc">ENV. SCIENCE</text> <text x="35" y="50" text-anchor="middle" font-family="sans-serif" font-size="9" fill="#94a3b8">Biology</text> <text x="125" y="50" text-anchor="middle" font-family="sans-serif" font-size="9" fill="#94a3b8">Chemistry</text> <text x="80" y="130" text-anchor="middle" font-family="sans-serif" font-size="9" fill="#94a3b8">Social/Ethics</text> </g> <!-- IPAT Box --> <rect x="680" y="340" width="170" height="110" rx="12" fill="#10b98115" stroke="#10b98140"/> <text x="765" y="365" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="bold" fill="#10b981">IPAT Equation</text> <text x="765" y="390" text-anchor="middle" font-family="sans-serif" font-size="20" font-weight="bold" fill="#f8fafc">I = P × A × T</text> <text x="765" y="410" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">Impact = Population ×</text> <text x="765" y="422" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">Affluence × Technology</text> <!-- Footer Stats/Labels --> <g transform="translate(480, 475)"> <rect width="370" height="40" rx="8" fill="#ffffff05"/> <circle cx="20" cy="20" r="5" fill="#f59e0b"/> <text x="35" y="24" font-family="sans-serif" font-size="12" fill="#f8fafc" font-weight="bold">Empiricism:</text> <text x="110" y="24" font-family="sans-serif" font-size="12" fill="#94a3b8">Knowledge based on real, tangible phenomena.</text> </g> <!-- Decorative grid lines --> <line x1="30" y1="545" x2="870" y2="545" stroke="#ffffff10" stroke-width="1"/> <line x1="450" y1="110" x2="450" y2="530" stroke="#ffffff05" stroke-width="1" stroke-dasharray="5 5"/> </svg>Foundations and the Scientific Method image 1Foundations and the Scientific Method - Environmental Science (Ha and Schleiger) - image 1https://www.getlykke.com/explore/public/environmental-science-ha-and-schleiger-a29b7243-7e25-487c-82eb-885dbc3d0669/media/foundations-scientific-method/svg/1Foundations and the Scientific Method diagram 1Foundations and the Scientific Method - Environmental Science (Ha and Schleiger) - diagram 1https://www.getlykke.com/explore/public/environmental-science-ha-and-schleiger-a29b7243-7e25-487c-82eb-885dbc3d0669/media/foundations-scientific-method/svg/2Foundations and the Scientific Method diagram 2Foundations and the Scientific Method - Environmental Science (Ha and Schleiger) - diagram 2https://www.getlykke.com/explore/public/environmental-science-ha-and-schleiger-a29b7243-7e25-487c-82eb-885dbc3d0669/media/foundations-scientific-method/svg/3Foundations and the Scientific Method diagram 3Foundations and the Scientific Method - Environmental Science (Ha and Schleiger) - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="450" y="50" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-weight="800" font-size="32" letter-spacing="1">ECOLOGY &amp; CONSERVATION BIOLOGY</text> <rect x="350" y="62" width="200" height="2" fill="#38bdf8"/> <text x="450" y="82" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="14" letter-spacing="2">THE SCIENCE OF INTERACTION &amp; PRESERVATION</text> <!-- Left Card: Hierarchy of Life --> <rect x="25" y="110" width="260" height="425" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="45" y="140" fill="#38bdf8" font-family="sans-serif" font-weight="700" font-size="18">Biological Hierarchy</text> <g transform="translate(45, 165)"> <!-- Biosphere --> <circle cx="20" cy="10" r="12" fill="#e879f9" fill-opacity="0.8"/> <text x="45" y="15" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="14">Biosphere</text> <text x="45" y="30" fill="#94a3b8" font-family="sans-serif" font-size="11">The global sum of all ecosystems</text> <!-- Ecosystem --> <circle cx="20" cy="70" r="10" fill="#38bdf8" fill-opacity="0.8"/> <text x="45" y="75" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="14">Ecosystem</text> <text x="45" y="90" fill="#94a3b8" font-family="sans-serif" font-size="11">Biotic &amp; Abiotic interactions</text> <!-- Community --> <circle cx="20" cy="130" r="8" fill="#4ade80" fill-opacity="0.8"/> <text x="45" y="135" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="14">Community</text> <text x="45" y="150" fill="#94a3b8" font-family="sans-serif" font-size="11">Interacting species in one area</text> <!-- Population --> <circle cx="20" cy="190" r="6" fill="#f59e0b" fill-opacity="0.8"/> <text x="45" y="195" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="14">Population</text> <text x="45" y="210" fill="#94a3b8" font-family="sans-serif" font-size="11">Group of the same species</text> <!-- Organism --> <circle cx="20" cy="250" r="4" fill="#f43f5e" fill-opacity="0.8"/> <text x="45" y="255" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="14">Organism</text> <text x="45" y="270" fill="#94a3b8" font-family="sans-serif" font-size="11">Individual survival adaptations</text> <!-- Connecting Line --> <line x1="20" y1="22" x2="20" y2="240" stroke="#ffffff20" stroke-width="2" stroke-dasharray="4 4"/> </g> <!-- Center Top: Trophic Dynamics --> <rect x="305" y="110" width="290" height="240" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="450" y="140" text-anchor="middle" fill="#f59e0b" font-family="sans-serif" font-weight="700" font-size="18">Trophic Energy Flow</text> <!-- Pyramid --> <path d="M 350 320 L 550 320 L 450 160 Z" fill="#ffffff05" stroke="#ffffff20"/> <!-- Base: Producers --> <path d="M 350 320 L 550 320 L 525 280 L 375 280 Z" fill="#10b981" fill-opacity="0.6"/> <text x="450" y="305" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="11" font-weight="bold">PRODUCERS (100%)</text> <!-- Mid: Consumers --> <path d="M 375 280 L 525 280 L 500 240 L 400 240 Z" fill="#f59e0b" fill-opacity="0.6"/> <text x="450" y="265" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="11" font-weight="bold">HERBIVORES (10%)</text> <!-- Top: Predators --> <path d="M 400 240 L 500 240 L 450 160 Z" fill="#f43f5e" fill-opacity="0.6"/> <text x="450" y="215" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="11" font-weight="bold">APEX (1%)</text> <text x="450" y="340" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10" font-style="italic">The 10% Rule: Energy loss at every level</text> <!-- Center Bottom: Population Growth --> <rect x="305" y="365" width="290" height="170" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="325" y="395" fill="#4ade80" font-family="sans-serif" font-weight="700" font-size="16">Logistic Growth</text> <!-- Graph --> <line x1="330" y1="510" x2="560" y2="510" stroke="#94a3b8" stroke-width="1"/> <!-- X axis --> <line x1="330" y1="510" x2="330" y2="410" stroke="#94a3b8" stroke-width="1"/> <!-- Y axis --> <line x1="330" y1="425" x2="560" y2="425" stroke="#f43f5e" stroke-width="1" stroke-dasharray="4 2"/> <!-- K line --> <text x="565" y="428" fill="#f43f5e" font-family="sans-serif" font-size="10" font-weight="bold">K</text> <!-- S-Curve --> <path d="M 330 505 C 400 505, 420 425, 560 425" fill="none" stroke="#4ade80" stroke-width="3" filter="url(#glow)"/> <text x="340" y="415" fill="#94a3b8" font-family="sans-serif" font-size="9">Population (N)</text> <text x="520" y="525" fill="#94a3b8" font-family="sans-serif" font-size="9">Time (t)</text> <text x="445" y="395" fill="#f8fafc" font-family="serif" font-size="12" font-style="italic">dN/dt = rN(1 - N/K)</text> <!-- Right Card: Conservation & Biodiversity --> <rect x="615" y="110" width="260" height="425" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="635" y="140" fill="#e879f9" font-family="sans-serif" font-weight="700" font-size="18">Conservation Biology</text> <!-- Sixth Extinction Callout --> <rect x="630" y="160" width="230" height="60" rx="8" fill="#f43f5e20" stroke="#f43f5e40"/> <text x="640" y="180" fill="#f43f5e" font-family="sans-serif" font-weight="800" font-size="13">THE SIXTH EXTINCTION</text> <text x="640" y="198" fill="#f8fafc" font-family="sans-serif" font-size="11">Anthropogenic drivers are causing</text> <text x="640" y="212" fill="#f8fafc" font-family="sans-serif" font-size="11">unprecedented biodiversity loss.</text> <!-- Biodiversity Metrics --> <text x="635" y="255" fill="#38bdf8" font-family="sans-serif" font-weight="700" font-size="15">Measuring Diversity</text> <text x="635" y="275" fill="#f8fafc" font-family="sans-serif" font-size="12" font-weight="bold">Shannon-Wiener Index (H')</text> <rect x="635" y="285" width="220" height="40" rx="4" fill="#00000030"/> <text x="745" y="310" text-anchor="middle" fill="#4ade80" font-family="serif" font-size="16" font-weight="bold">H' = -Σ pi ln(pi)</text> <g transform="translate(635, 345)"> <circle cx="5" cy="5" r="3" fill="#38bdf8"/> <text x="15" y="9" fill="#94a3b8" font-family="sans-serif" font-size="11"><tspan fill="#f8fafc" font-weight="bold">Richness:</tspan> Total species count</text> <circle cx="5" cy="25" r="3" fill="#38bdf8"/> <text x="15" y="29" fill="#94a3b8" font-family="sans-serif" font-size="11"><tspan fill="#f8fafc" font-weight="bold">Evenness:</tspan> Relative abundance</text> </g> <!-- Ecosystem Services --> <text x="635" y="405" fill="#f59e0b" font-family="sans-serif" font-weight="700" font-size="15">Ecosystem Services</text> <g transform="translate(635, 425)"> <rect width="105" height="40" rx="4" fill="#ffffff08"/> <text x="52" y="18" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="10" font-weight="bold">PROVISIONING</text> <text x="52" y="32" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="9">Food, Water, Fuel</text> <rect x="115" width="105" height="40" rx="4" fill="#ffffff08"/> <text x="167" y="18" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="10" font-weight="bold">REGULATING</text> <text x="167" y="32" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="9">Climate, Disease</text> <rect y="50" width="105" height="40" rx="4" fill="#ffffff08"/> <text x="52" y="68" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="10" font-weight="bold">SUPPORTING</text> <text x="52" y="82" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="9">Nutrient Cycling</text> <rect x="115" y="50" width="105" height="40" rx="4" fill="#ffffff08"/> <text x="167" y="68" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="10" font-weight="bold">CULTURAL</text> <text x="167" y="82" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="9">Aesthetic, Spiritual</text> </g> <!-- Decorative elements --> <circle cx="850" cy="50" r="30" fill="none" stroke="#ffffff05" stroke-width="8"/> <circle cx="50" cy="510" r="20" fill="none" stroke="#ffffff05" stroke-width="4"/> </svg>Ecology and Conservation Biology image 1Ecology and Conservation Biology - Environmental Science (Ha and Schleiger) - image 1https://www.getlykke.com/explore/public/environmental-science-ha-and-schleiger-a29b7243-7e25-487c-82eb-885dbc3d0669/media/ecology-conservation/svg/1Ecology and Conservation Biology diagram 1Ecology and Conservation Biology - Environmental Science (Ha and Schleiger) - diagram 1https://www.getlykke.com/explore/public/environmental-science-ha-and-schleiger-a29b7243-7e25-487c-82eb-885dbc3d0669/media/ecology-conservation/svg/2Ecology and Conservation Biology diagram 2Ecology and Conservation Biology - Environmental Science (Ha and Schleiger) - diagram 2https://www.getlykke.com/explore/public/environmental-science-ha-and-schleiger-a29b7243-7e25-487c-82eb-885dbc3d0669/media/ecology-conservation/svg/3Ecology and Conservation Biology diagram 3Ecology and Conservation Biology - Environmental Science (Ha and Schleiger) - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bgGradient" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bgGradient)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-size="32" font-weight="800" fill="#f8fafc" letter-spacing="1">THE ANTHROPOCENE</text> <text x="450" y="75" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="500" fill="#38bdf8" letter-spacing="4">HUMAN IMPACTS &amp; ENVIRONMENTAL HEALTH</text> <line x1="350" y1="85" x2="550" y2="85" stroke="#38bdf8" stroke-width="1" stroke-dasharray="4 4"/> <!-- Left Panel: The IPAT Equation --> <rect x="40" y="110" width="395" height="210" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="140" font-family="sans-serif" font-size="18" font-weight="700" fill="#f59e0b">THE IPAT EQUATION</text> <text x="60" y="160" font-family="sans-serif" font-size="12" fill="#94a3b8">Quantifying Environmental Degradation</text> <!-- IPAT Visual --> <g transform="translate(60, 185)"> <text x="0" y="40" font-family="serif" font-size="48" font-weight="bold" fill="#f8fafc">I = P × A × T</text> <g transform="translate(0, 65)"> <circle cx="10" cy="10" r="8" fill="#38bdf8"/> <text x="25" y="15" font-family="sans-serif" font-size="11" fill="#f8fafc"><tspan font-weight="bold">P</tspan>opulation: Total headcount</text> <circle cx="10" cy="35" r="8" fill="#f59e0b"/> <text x="25" y="40" font-family="sans-serif" font-size="11" fill="#f8fafc"><tspan font-weight="bold">A</tspan>ffluence: Consumption per capita</text> <circle cx="10" cy="60" r="8" fill="#e879f9"/> <text x="25" y="65" font-family="sans-serif" font-size="11" fill="#f8fafc"><tspan font-weight="bold">T</tspan>echnology: Impact per unit of consumption</text> </g> </g> <!-- Right Panel: Demographic Transition --> <rect x="465" y="110" width="395" height="210" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="485" y="140" font-family="sans-serif" font-size="18" font-weight="700" fill="#38bdf8">DEMOGRAPHIC TRANSITION</text> <!-- DTM Sparkline/Icons --> <g transform="translate(485, 160)"> <!-- Stage markers --> <line x1="0" y1="100" x2="350" y2="100" stroke="#94a3b8" stroke-width="1"/> <path d="M 0 20 Q 80 20 120 50 T 240 80 T 350 85" fill="none" stroke="#f59e0b" stroke-width="3" filter="url(#glow)"/> <!-- Birth Rate --> <path d="M 0 25 Q 40 25 80 80 T 200 85 T 350 85" fill="none" stroke="#e879f9" stroke-width="3" filter="url(#glow)"/> <!-- Death Rate --> <text x="0" y="115" font-family="sans-serif" font-size="9" fill="#94a3b8">STAGE 1</text> <text x="85" y="115" font-family="sans-serif" font-size="9" fill="#94a3b8">STAGE 2</text> <text x="170" y="115" font-family="sans-serif" font-size="9" fill="#94a3b8">STAGE 3</text> <text x="255" y="115" font-family="sans-serif" font-size="9" fill="#94a3b8">STAGE 4</text> <text x="320" y="115" font-family="sans-serif" font-size="9" fill="#94a3b8">S5</text> <text x="355" y="82" font-family="sans-serif" font-size="10" fill="#f59e0b">Birth</text> <text x="355" y="95" font-family="sans-serif" font-size="10" fill="#e879f9">Death</text> </g> <!-- Bottom Panel: Carrying Capacity & Verhulst Model --> <rect x="40" y="340" width="820" height="180" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <g transform="translate(70, 370)"> <text x="0" y="10" font-family="sans-serif" font-size="18" font-weight="700" fill="#e879f9">CARRYING CAPACITY (K)</text> <text x="0" y="30" font-family="sans-serif" font-size="12" fill="#94a3b8">The Logistic Growth Model: dP/dt = rP(1 - P/K)</text> <!-- Graph --> <g transform="translate(0, 50)"> <!-- Axes --> <line x1="0" y1="80" x2="400" y2="80" stroke="#94a3b8" stroke-width="1"/> <line x1="0" y1="0" x2="0" y2="80" stroke="#94a3b8" stroke-width="1"/> <!-- K Line --> <line x1="0" y1="20" x2="400" y2="20" stroke="#f8fafc" stroke-width="1" stroke-dasharray="5 5"/> <text x="410" y="23" font-family="sans-serif" font-size="10" fill="#f8fafc">K (Limit)</text> <!-- Growth Curve --> <path d="M 0 75 Q 100 75 150 45 T 300 20 L 400 20" fill="none" stroke="#38bdf8" stroke-width="3" filter="url(#glow)"/> <!-- Degradation Zone --> <path d="M 300 20 L 400 35" stroke="#ef4444" stroke-width="2" stroke-dasharray="3 3"/> <text x="320" y="55" font-family="sans-serif" font-size="10" fill="#ef4444" font-weight="bold">RESOURCE DEGRADATION</text> </g> <!-- Info Text --> <g transform="translate(500, 10)"> <rect width="280" height="110" rx="8" fill="#ffffff05"/> <text x="15" y="25" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Ecosystem Services at Risk:</text> <text x="15" y="50" font-family="sans-serif" font-size="11" fill="#94a3b8">• Water Purification (Chemical Integrity)</text> <text x="15" y="70" font-family="sans-serif" font-size="11" fill="#94a3b8">• Climate Regulation (Anthropogenic CO2)</text> <text x="15" y="90" font-family="sans-serif" font-size="11" fill="#94a3b8">• Disease Regulation (Epidemiology)</text> </g> </g> <!-- Decorative Corner Elements --> <g opacity="0.4"> <circle cx="40" cy="40" r="3" fill="#38bdf8"/> <circle cx="860" cy="40" r="3" fill="#38bdf8"/> <circle cx="40" cy="520" r="3" fill="#38bdf8"/> <circle cx="860" cy="520" r="3" fill="#38bdf8"/> </g> <text x="850" y="545" text-anchor="end" font-family="monospace" font-size="10" fill="#475569">SYS_REF: ANTHRO_01 // SCALE: GLOBAL</text> </svg>Human Impacts and Environmental Health image 1Human Impacts and Environmental Health - Environmental Science (Ha and Schleiger) - image 1https://www.getlykke.com/explore/public/environmental-science-ha-and-schleiger-a29b7243-7e25-487c-82eb-885dbc3d0669/media/human-impacts-environmental-health/svg/1Human Impacts and Environmental Health diagram 1Human Impacts and Environmental Health - Environmental Science (Ha and Schleiger) - diagram 1https://www.getlykke.com/explore/public/environmental-science-ha-and-schleiger-a29b7243-7e25-487c-82eb-885dbc3d0669/media/human-impacts-environmental-health/svg/2Human Impacts and Environmental Health diagram 2Human Impacts and Environmental Health - Environmental Science (Ha and Schleiger) - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <linearGradient id="accent-grad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> </defs> <!-- Background and Decoration --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <circle cx="850" cy="50" r="150" fill="#38bdf8" fill-opacity="0.05"/> <circle cx="50" cy="510" r="100" fill="#f59e0b" fill-opacity="0.05"/> <!-- Header --> <text x="450" y="60" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">ENERGY RESOURCES &amp; SUSTAINABLE FUTURES</text> <rect x="350" y="75" width="200" height="4" rx="2" fill="url(#accent-grad)"/> <text x="450" y="100" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" letter-spacing="1">A SYSTEMIC TRANSITION FROM EXTRACTION TO REGENERATION</text> <!-- Left Panel: The Hydrocarbon Era --> <rect x="40" y="130" width="260" height="260" rx="16" fill="#ffffff0a" stroke="#ffffff10"/> <text x="60" y="165" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">THE EXTRACTIVE ERA</text> <text x="60" y="185" font-family="sans-serif" font-size="12" fill="#94a3b8">Non-renewable &amp; High Carbon</text> <!-- Fossil Icon --> <path d="M 70 230 L 110 230 L 90 200 Z" fill="#64748b"/> <rect x="75" y="230" width="30" height="15" fill="#475569"/> <circle cx="90" cy="215" r="4" fill="#0f172a"/> <text x="60" y="270" font-family="sans-serif" font-size="13" fill="#f8fafc" font-weight="600">Fossil Fuels (Ancient Sunlight)</text> <text x="60" y="290" font-family="sans-serif" font-size="12" fill="#cbd5e1"> <tspan x="60" dy="0">• Coal: High carbon intensity</tspan> <tspan x="60" dy="18">• Petroleum: Global logistics hub</tspan> <tspan x="60" dy="18">• Natural Gas: Methane leakage risk</tspan> </text> <text x="60" y="360" font-family="sans-serif" font-size="11" font-style="italic" fill="#94a3b8">Linear "Take-Make-Waste" model</text> <!-- Middle Panel: Thermodynamics --> <rect x="320" y="130" width="260" height="260" rx="16" fill="#ffffff15" stroke="#38bdf844"/> <text x="450" y="165" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">THERMODYNAMIC PIVOT</text> <!-- EROI Graphic --> <circle cx="450" cy="225" r="35" fill="none" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 2"/> <text x="450" y="220" text-anchor="middle" font-family="serif" font-size="18" font-weight="bold" fill="#f8fafc">EROI</text> <path d="M 425 230 L 475 230" stroke="#f8fafc" stroke-width="1"/> <text x="450" y="245" text-anchor="middle" font-family="serif" font-size="12" fill="#f8fafc">E_in / E_out</text> <text x="340" y="290" font-family="sans-serif" font-size="13" fill="#f8fafc" font-weight="600">The Entropy Constraint</text> <text x="340" y="310" font-family="sans-serif" font-size="12" fill="#cbd5e1"> <tspan x="340" dy="0">Energy is never created, only</tspan> <tspan x="340" dy="18">transformed. Efficiency is limited</tspan> <tspan x="340" dy="18">by the Second Law (Entropy).</tspan> </text> <rect x="340" y="365" width="220" height="1" fill="#38bdf833"/> <!-- Right Panel: Sustainable Future --> <rect x="600" y="130" width="260" height="260" rx="16" fill="#ffffff0a" stroke="#ffffff10"/> <text x="620" y="165" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">REGENERATIVE FUTURE</text> <text x="620" y="185" font-family="sans-serif" font-size="12" fill="#94a3b8">Renewable &amp; Carbon Neutral</text> <!-- Sun/Wind Icon --> <circle cx="650" cy="220" r="12" fill="#f59e0b"/> <path d="M 650 200 L 650 205 M 650 235 L 650 240 M 630 220 L 635 220 M 665 220 L 670 220" stroke="#f59e0b" stroke-width="2"/> <path d="M 690 240 L 690 200 M 690 210 L 710 205 M 690 210 L 675 200" stroke="#38bdf8" stroke-width="2" fill="none"/> <text x="620" y="270" font-family="sans-serif" font-size="13" fill="#f8fafc" font-weight="600">The Harvesting Paradigm</text> <text x="620" y="290" font-family="sans-serif" font-size="12" fill="#cbd5e1"> <tspan x="620" dy="0">• Solar/Wind: Low carbon intensity</tspan> <tspan x="620" dy="18">• Nuclear: High density baseload</tspan> <tspan x="620" dy="18">• Storage: Solving intermittency</tspan> </text> <text x="620" y="360" font-family="sans-serif" font-size="11" font-style="italic" fill="#94a3b8">Circular "Harvest-Store-Use" model</text> <!-- Bottom Comparison Table --> <rect x="40" y="415" width="820" height="110" rx="16" fill="#00000044" stroke="#ffffff10"/> <text x="60" y="440" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc" letter-spacing="0.5">RESOURCE COMPARISON METRICS</text> <!-- Table Headers --> <text x="60" y="465" font-family="sans-serif" font-size="11" font-weight="bold" fill="#94a3b8">FUEL SOURCE</text> <text x="250" y="465" font-family="sans-serif" font-size="11" font-weight="bold" fill="#94a3b8">ENERGY DENSITY (MJ/kg)</text> <text x="500" y="465" font-family="sans-serif" font-size="11" font-weight="bold" fill="#94a3b8">CARBON INTENSITY (g CO2/kWh)</text> <text x="750" y="465" font-family="sans-serif" font-size="11" font-weight="bold" fill="#94a3b8">PRIMARY USE</text> <!-- Table Row 1 --> <text x="60" y="485" font-family="sans-serif" font-size="12" fill="#cbd5e1">Coal (Anthracite)</text> <text x="250" y="485" font-family="sans-serif" font-size="12" fill="#cbd5e1">24 – 35</text> <rect x="500" y="477" width="100" height="8" rx="2" fill="#ef4444"/> <text x="610" y="485" font-family="sans-serif" font-size="11" fill="#94a3b8">820–1000</text> <text x="750" y="485" font-family="sans-serif" font-size="11" fill="#cbd5e1">Electricity</text> <!-- Table Row 2 --> <text x="60" y="505" font-family="sans-serif" font-size="12" fill="#cbd5e1">Uranium-235</text> <text x="250" y="505" font-family="sans-serif" font-size="12" fill="#e879f9" font-weight="bold">3,900,000</text> <rect x="500" y="497" width="12" height="8" rx="2" fill="#22c55e"/> <text x="520" y="505" font-family="sans-serif" font-size="11" fill="#94a3b8">12–110</text> <text x="750" y="505" font-family="sans-serif" font-size="11" fill="#cbd5e1">Baseload</text> <!-- Transition Arrow --> <path d="M 280 115 Q 450 85 620 115" fill="none" stroke="url(#accent-grad)" stroke-width="2" stroke-dasharray="5 5"/> <polygon points="625,115 615,110 615,120" fill="#e879f9"/> </svg>Energy Resources and Sustainable Futures image 1Energy Resources and Sustainable Futures - Environmental Science (Ha and Schleiger) - image 1https://www.getlykke.com/explore/public/environmental-science-ha-and-schleiger-a29b7243-7e25-487c-82eb-885dbc3d0669/media/energy-sustainability-future/svg/1Energy Resources and Sustainable Futures diagram 1Energy Resources and Sustainable Futures - Environmental Science (Ha and Schleiger) - diagram 1https://www.getlykke.com/explore/public/environmental-science-ha-and-schleiger-a29b7243-7e25-487c-82eb-885dbc3d0669/media/energy-sustainability-future/svg/2Energy Resources and Sustainable Futures diagram 2Energy Resources and Sustainable Futures - Environmental Science (Ha and Schleiger) - diagram 2https://www.getlykke.com/explore/public/environmental-science-ha-and-schleiger-a29b7243-7e25-487c-82eb-885dbc3d0669/media/energy-sustainability-future/svg/3Energy Resources and Sustainable Futures diagram 3Energy Resources and Sustainable Futures - Environmental Science (Ha and Schleiger) - diagram 3https://www.getlykke.com/explore/public/high-school-physics-060065c2-a6bb-4d4e-a0a1-42b95ab5e1eb2026-04-20T05:01:52.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bgGradient" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentBlue" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#818cf8"/> </linearGradient> <pattern id="dotPattern" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff08" /> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bgGradient)"/> <rect width="900" height="560" fill="url(#dotPattern)"/> <!-- Header Section --> <text x="40" y="60" font-family="Arial, sans-serif" font-weight="800" font-size="32" fill="#f8fafc">FUNDAMENTALS OF 1D MOTION</text> <text x="40" y="85" font-family="Arial, sans-serif" font-size="14" fill="#94a3b8" letter-spacing="1">KINEMATICS: THE GEOMETRY OF PURE MOTION</text> <rect x="40" y="100" width="120" height="4" fill="#f59e0b" rx="2"/> <!-- Main Axis Visualization (Center) --> <g transform="translate(450, 280)"> <!-- The 1D Track --> <line x1="-380" y1="0" x2="380" y2="0" stroke="#ffffff20" stroke-width="2" stroke-dasharray="8 4"/> <circle cx="-350" cy="0" r="4" fill="#38bdf8"/> <circle cx="350" cy="0" r="4" fill="#38bdf8"/> <text x="-350" y="25" font-family="monospace" font-size="12" fill="#94a3b8" text-anchor="middle">-x (Left)</text> <text x="350" y="25" font-family="monospace" font-size="12" fill="#94a3b8" text-anchor="middle">+x (Right)</text> <text x="0" y="25" font-family="monospace" font-size="12" fill="#f59e0b" text-anchor="middle">Origin (0)</text> <circle cx="0" cy="0" r="6" fill="#f59e0b" filter="url(#glow)"/> <!-- Motion Path Illustration --> <path d="M -200, -40 Q -100, -80 0, -40 T 150, -40" fill="none" stroke="#e879f9" stroke-width="3" stroke-linecap="round" opacity="0.6"/> <circle cx="-200" cy="-40" r="4" fill="#e879f9"/> <circle cx="150" cy="-40" r="4" fill="#e879f9"/> <text x="-200" y="-55" font-family="Arial" font-size="11" fill="#e879f9" text-anchor="middle">Start (xi)</text> <text x="150" y="-55" font-family="Arial" font-size="11" fill="#e879f9" text-anchor="middle">End (xf)</text> </g> <!-- Panel 1: Distance vs Displacement --> <rect x="40" y="130" width="260" height="180" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="60" y="160" font-family="Arial" font-weight="bold" font-size="18" fill="#38bdf8">Path Metrics</text> <g transform="translate(60, 185)"> <circle cx="8" cy="8" r="6" fill="#f59e0b"/> <text x="25" y="13" font-family="Arial" font-size="14" font-weight="bold" fill="#f8fafc">Distance (d)</text> <text x="25" y="30" font-family="Arial" font-size="12" fill="#94a3b8">Scalar: Total path length covered.</text> <text x="25" y="45" font-family="Arial" font-size="12" fill="#94a3b8">Always positive. Path-dependent.</text> </g> <g transform="translate(60, 245)"> <path d="M 0,8 L 16,8 M 10,2 L 16,8 L 10,14" fill="none" stroke="#e879f9" stroke-width="2"/> <text x="25" y="13" font-family="Arial" font-size="14" font-weight="bold" fill="#f8fafc">Displacement (Δx)</text> <text x="25" y="30" font-family="Arial" font-size="12" fill="#94a3b8">Vector: Net change in position.</text> <text x="25" y="45" font-family="Arial" font-size="12" font-weight="bold" fill="#e879f9">Δx = xf - xi</text> </g> <!-- Panel 2: Velocity --> <rect x="600" y="130" width="260" height="180" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="620" y="160" font-family="Arial" font-weight="bold" font-size="18" fill="#38bdf8">Velocity (v)</text> <text x="620" y="190" font-family="Arial" font-size="13" fill="#f8fafc" font-weight="bold">Average Velocity</text> <text x="620" y="208" font-family="Arial" font-size="12" fill="#94a3b8">Rate of displacement over time.</text> <text x="620" y="225" font-family="serif" font-size="16" fill="#38bdf8" font-style="italic">v_avg = Δx / Δt</text> <line x1="620" y1="240" x2="840" y2="240" stroke="#ffffff10" stroke-width="1"/> <text x="620" y="265" font-family="Arial" font-size="13" fill="#f8fafc" font-weight="bold">Instantaneous Velocity</text> <text x="620" y="283" font-family="Arial" font-size="12" fill="#94a3b8">The derivative of position.</text> <text x="620" y="300" font-family="serif" font-size="16" fill="#38bdf8" font-style="italic">v(t) = dx / dt</text> <!-- Panel 3: Acceleration (Bottom Wide) --> <rect x="40" y="380" width="820" height="140" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <g transform="translate(70, 410)"> <text x="0" y="20" font-family="Arial" font-weight="bold" font-size="22" fill="#f59e0b">Acceleration (a)</text> <text x="0" y="45" font-family="Arial" font-size="14" fill="#94a3b8">The rate at which velocity changes over time.</text> <!-- Formula Box --> <rect x="0" y="65" width="180" height="45" rx="8" fill="#00000030"/> <text x="90" y="95" font-family="serif" font-size="20" fill="#f8fafc" text-anchor="middle" font-style="italic">a = dv / dt = d²x / dt²</text> <!-- Infographic elements --> <g transform="translate(350, 10)"> <text x="0" y="10" font-family="Arial" font-size="13" font-weight="bold" fill="#38bdf8">POSITIVE ACCEL (a &gt; 0)</text> <path d="M 0,30 L 100,30" stroke="#38bdf8" stroke-width="2" stroke-dasharray="2 2"/> <circle cx="10" cy="30" r="3" fill="#38bdf8"/> <circle cx="40" cy="30" r="4" fill="#38bdf8"/> <circle cx="85" cy="30" r="6" fill="#38bdf8"/> <text x="0" y="50" font-family="Arial" font-size="11" fill="#94a3b8">Object speeds up in + direction</text> </g> <g transform="translate(550, 10)"> <text x="0" y="10" font-family="Arial" font-size="13" font-weight="bold" fill="#e879f9">NEGATIVE ACCEL (a &lt; 0)</text> <path d="M 0,30 L 100,30" stroke="#e879f9" stroke-width="2" stroke-dasharray="2 2"/> <circle cx="10" cy="30" r="6" fill="#e879f9"/> <circle cx="55" cy="30" r="4" fill="#e879f9"/> <circle cx="85" cy="30" r="3" fill="#e879f9"/> <text x="0" y="50" font-family="Arial" font-size="11" fill="#94a3b8">Object slows down (Deceleration)</text> </g> </g> <!-- Decorative Corner Element --> <path d="M 850 50 L 880 50 L 880 80" fill="none" stroke="#38bdf8" stroke-width="2" opacity="0.5"/> <circle cx="880" cy="50" r="3" fill="#38bdf8"/> <!-- Footer Label --> <text x="450" y="545" font-family="Arial" font-size="10" fill="#ffffff30" text-anchor="middle" letter-spacing="2">PHYSICS CORE SERIES // MODULE 01: KINEMATICS</text> </svg>Fundamentals of One-Dimensional Motion image 1Fundamentals of One-Dimensional Motion - High School Physics - image 1https://www.getlykke.com/explore/public/high-school-physics-060065c2-a6bb-4d4e-a0a1-42b95ab5e1eb/media/kinematics-1d-fundamentals/svg/1Fundamentals of One-Dimensional Motion diagram 1Fundamentals of One-Dimensional Motion - High School Physics - diagram 1https://www.getlykke.com/explore/public/high-school-physics-060065c2-a6bb-4d4e-a0a1-42b95ab5e1eb/media/kinematics-1d-fundamentals/svg/2Fundamentals of One-Dimensional Motion diagram 2Fundamentals of One-Dimensional Motion - High School Physics - diagram 2https://www.getlykke.com/explore/public/high-school-physics-060065c2-a6bb-4d4e-a0a1-42b95ab5e1eb/media/kinematics-1d-fundamentals/svg/3Fundamentals of One-Dimensional Motion diagram 3Fundamentals of One-Dimensional Motion - High School Physics - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background and Grid --> <rect width="900" height="560" fill="url(#bg)"/> <g stroke="#ffffff08" stroke-width="1"> <path d="M0 40h900M0 80h900M0 120h900M0 160h900M0 200h900M0 240h900M0 280h900M0 320h900M0 360h900M0 400h900M0 440h900M0 480h900M0 520h900"/> <path d="M40 0v560M80 0v560M120 0v560M160 0v560M200 0v560M240 0v560M280 0v560M320 0v560M360 0v560M400 0v560M440 0v560M480 0v560M520 0v560M560 0v560M600 0v560M640 0v560M680 0v560M720 0v560M760 0v560M800 0v560M840 0v560"/> </g> <!-- Header --> <text x="40" y="60" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">GRAPHICAL ANALYSIS OF MOTION</text> <text x="40" y="85" font-family="sans-serif" font-size="14" fill="#94a3b8" letter-spacing="1">KINEMATIC HIERARCHY • CALCULUS BY SIGHT</text> <rect x="40" y="100" width="120" height="4" fill="url(#accentGrad)" rx="2"/> <!-- Main Hierarchy Panel --> <rect x="40" y="130" width="380" height="390" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="160" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">THE KINEMATIC HIERARCHY</text> <!-- Hierarchy Nodes --> <g transform="translate(60, 180)"> <!-- Position --> <rect width="340" height="60" rx="8" fill="#ffffff05" stroke="#ffffff10"/> <text x="15" y="35" font-family="serif" font-style="italic" font-size="24" fill="#f8fafc">x(t)</text> <text x="60" y="28" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">POSITION</text> <text x="60" y="45" font-family="sans-serif" font-size="11" fill="#94a3b8">The object's location over time.</text> <!-- Velocity --> <g transform="translate(0, 100)"> <rect width="340" height="60" rx="8" fill="#ffffff05" stroke="#ffffff10"/> <text x="15" y="35" font-family="serif" font-style="italic" font-size="24" fill="#f59e0b">v(t)</text> <text x="60" y="28" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">VELOCITY</text> 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font-weight="bold">SLOPE (d/dt)</text> <!-- Connecting Arrows (Up: Area) --> <path d="M305 195 L305 165" stroke="#f59e0b" stroke-width="2" marker-end="url(#arrow-orange)"/> <text x="210" y="185" font-family="sans-serif" font-size="10" fill="#f59e0b" font-weight="bold" text-anchor="end">AREA (∫ dt)</text> <path d="M305 95 L305 65" stroke="#f59e0b" stroke-width="2" marker-end="url(#arrow-orange)"/> <text x="210" y="85" font-family="sans-serif" font-size="10" fill="#f59e0b" font-weight="bold" text-anchor="end">AREA (∫ dt)</text> </g> <!-- Right Panel: Visual Interpretation --> <rect x="440" y="130" width="420" height="185" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="460" y="160" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">THE SLOPE RULE</text> <!-- Slope Visuals --> <g transform="translate(460, 180)"> <path d="M0 80 L100 80 M10 90 L10 10" stroke="#94a3b8" stroke-width="1" fill="none"/> <path d="M10 80 Q 40 75, 90 20" stroke="#38bdf8" stroke-width="2" fill="none"/> <line x1="40" y1="75" x2="80" y2="35" stroke="#f8fafc" stroke-width="1" stroke-dasharray="2"/> <text x="105" y="30" font-family="sans-serif" font-size="12" fill="#f8fafc" font-weight="bold">Steeper Slope = Higher Velocity</text> <text x="105" y="48" font-family="sans-serif" font-size="11" fill="#94a3b8">On an x vs t graph, the gradient</text> <text x="105" y="62" font-family="sans-serif" font-size="11" fill="#94a3b8">at any point is the instantaneous v.</text> <circle cx="60" cy="55" r="3" fill="#e879f9" filter="glow"/> </g> <!-- Bottom Right Panel: Area Interpretation --> <rect x="440" y="335" width="420" height="185" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="460" y="365" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">THE AREA RULE</text> <!-- Area Visuals --> <g transform="translate(460, 385)"> <path d="M0 80 L100 80 M10 90 L10 10" stroke="#94a3b8" stroke-width="1" fill="none"/> <path d="M10 60 L40 60 L80 20 L90 20" stroke="#f59e0b" stroke-width="2" fill="none"/> <path d="M10 80 L10 60 L40 60 L80 20 L80 80 Z" fill="#f59e0b30"/> <text x="105" y="30" font-family="sans-serif" font-size="12" fill="#f8fafc" font-weight="bold">Area = Displacement (Δx)</text> <text x="105" y="48" font-family="sans-serif" font-size="11" fill="#94a3b8">The integral of velocity over time</text> <text x="105" y="62" font-family="sans-serif" font-size="11" fill="#94a3b8">gives the total change in position.</text> <text x="30" y="75" font-family="sans-serif" font-size="9" fill="#f59e0b" font-weight="bold">RECT</text> <text x="55" y="75" font-family="sans-serif" font-size="9" fill="#f59e0b" font-weight="bold">TRAP</text> </g> <!-- Markers --> <defs> <marker id="arrow-blue" markerWidth="10" markerHeight="10" refX="5" refY="5" orient="auto"> <path d="M0,0 L10,5 L0,10 Z" fill="#38bdf8" /> </marker> <marker id="arrow-orange" markerWidth="10" markerHeight="10" refX="5" refY="5" orient="auto"> <path d="M0,0 L10,5 L0,10 Z" fill="#f59e0b" /> </marker> </defs> <!-- Footer / Legend --> <text x="450" y="545" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#475569">PHYSICS KINEMATICS SERIES • MODULE 04: GRAPHICAL ANALYSIS</text> <!-- Decorative Elements --> <circle cx="850" cy="50" r="20" fill="#38bdf810" stroke="#38bdf840" stroke-width="1"/> <path d="M840 50 L860 50 M850 40 L850 60" stroke="#38bdf8" stroke-width="1"/> </svg>Graphical Analysis of Motion image 1Graphical Analysis of Motion - High School Physics - image 1https://www.getlykke.com/explore/public/high-school-physics-060065c2-a6bb-4d4e-a0a1-42b95ab5e1eb/media/graphical-analysis-motion/svg/1Graphical Analysis of Motion diagram 1Graphical Analysis of Motion - High School Physics - diagram 1https://www.getlykke.com/explore/public/high-school-physics-060065c2-a6bb-4d4e-a0a1-42b95ab5e1eb/media/graphical-analysis-motion/svg/2Graphical Analysis of Motion diagram 2Graphical Analysis of Motion - High School Physics - diagram 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y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">TWO-DIMENSIONAL MOTION &amp; VECTORS</text> <text x="450" y="75" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" font-style="italic">The Mechanics of Objects Moving Through a Plane</text> <line x1="350" y1="90" x2="550" y2="90" stroke="url(#accentGrad)" stroke-width="2" stroke-linecap="round"/> <!-- Left Panel: Vector Analysis --> <rect x="30" y="110" width="260" height="340" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="50" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">VECTOR ANALYSIS</text> <text x="50" y="160" font-family="sans-serif" font-size="12" fill="#94a3b8">The Language of 2D Space</text> <!-- Vector Diagram --> <g transform="translate(60, 260)"> <!-- Axes --> <line x1="0" y1="0" x2="150" y2="0" stroke="#ffffff30" stroke-width="1" stroke-dasharray="4"/> <line x1="0" y1="0" x2="0" y2="-120" stroke="#ffffff30" stroke-width="1" stroke-dasharray="4"/> <!-- Components --> <line x1="0" y1="0" x2="110" y2="0" stroke="#38bdf8" stroke-width="3" marker-end="url(#arrowBlue)"/> <line x1="0" y1="0" x2="0" y2="-70" stroke="#f59e0b" stroke-width="3" marker-end="url(#arrowAmber)"/> <!-- Resultant --> <line x1="0" y1="0" x2="110" y2="-70" stroke="#e879f9" stroke-width="4" filter="url(#glow)"/> <!-- Angle --> <path d="M 30 0 A 30 30 0 0 0 23 -18" fill="none" stroke="#f8fafc" stroke-width="1"/> <text x="35" y="-10" font-family="sans-serif" font-size="12" fill="#f8fafc">θ</text> <!-- Labels --> <text x="115" y="-75" font-family="sans-serif" font-weight="bold" font-size="14" fill="#e879f9">V</text> <text x="50" y="18" font-family="sans-serif" font-size="11" fill="#38bdf8">Vx = V cos(θ)</text> <text x="-55" y="-35" font-family="sans-serif" font-size="11" fill="#f59e0b" transform="rotate(-90 -55 -35)">Vy = V sin(θ)</text> </g> <text x="50" y="410" font-family="sans-serif" font-size="11" fill="#94a3b8" width="220"> <tspan x="50" dy="0">Vectors are decomposed into</tspan> <tspan x="50" dy="16">independent orthonormal</tspan> <tspan x="50" dy="16">components (x and y).</tspan> </text> <!-- Center Visual: Projectile Arc --> <g transform="translate(320, 110)"> <rect width="260" height="340" rx="16" fill="#ffffff05" stroke="#ffffff10"/> <text x="130" y="30" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="18" fill="#f8fafc">THE PARABOLIC PATH</text> <!-- Ground --> <line x1="30" y1="280" x2="230" y2="280" stroke="#ffffff20" stroke-width="2"/> <!-- Trajectory --> <path d="M 40 280 Q 130 50 220 280" fill="none" stroke="#e879f9" stroke-width="2" stroke-dasharray="6 4" opacity="0.6"/> <!-- Ball Positions & Velocity Vectors --> <!-- Start --> <circle cx="40" cy="280" r="5" fill="#f8fafc"/> <line x1="40" y1="280" x2="70" y2="220" stroke="#e879f9" stroke-width="2"/> <!-- Peak --> <circle cx="130" cy="165" r="5" fill="#f8fafc"/> <line x1="130" y1="165" x2="165" y2="165" stroke="#38bdf8" stroke-width="2"/> <text x="130" y="150" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#38bdf8">Vy = 0 at peak</text> <!-- End --> <circle cx="220" cy="280" r="5" fill="#f8fafc"/> <line x1="220" y1="280" x2="250" y2="340" stroke="#e879f9" stroke-width="2" opacity="0.4"/> <!-- Gravity Icon --> <g transform="translate(200, 50)"> <line x1="0" y1="0" x2="0" y2="30" stroke="#f59e0b" stroke-width="2" marker-end="url(#arrowAmberSmall)"/> <text x="10" y="20" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f59e0b">g</text> </g> </g> <!-- Right Panel: Kinematics Comparison --> <rect x="610" y="110" width="260" height="340" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="630" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">DYNAMICS</text> <!-- Horizontal Card --> <rect x="625" y="160" width="230" height="85" rx="8" fill="#38bdf815"/> <text x="635" y="180" font-family="sans-serif" font-weight="bold" font-size="13" fill="#38bdf8">HORIZONTAL (X)</text> <text x="635" y="200" font-family="monospace" font-size="12" fill="#f8fafc">ax = 0</text> <text x="635" y="218" font-family="monospace" font-size="12" fill="#f8fafc">vx = v0 * cos(θ)</text> <text x="635" y="236" font-family="monospace" font-size="12" fill="#f8fafc">Δx = vx * t</text> <!-- Vertical Card --> <rect x="625" y="260" width="230" height="105" rx="8" fill="#f59e0b15"/> <text x="635" y="280" font-family="sans-serif" font-weight="bold" font-size="13" fill="#f59e0b">VERTICAL (Y)</text> <text x="635" y="300" font-family="monospace" font-size="12" fill="#f8fafc">ay = -g (-9.81 m/s²)</text> <text x="635" y="318" font-family="monospace" font-size="12" fill="#f8fafc">vy = v0y - gt</text> <text x="635" y="336" font-family="monospace" font-size="12" fill="#f8fafc">Δy = v0y*t - 0.5gt²</text> <!-- Bridge: Time --> <g transform="translate(625, 380)"> <rect width="230" height="50" rx="8" fill="#e879f915" stroke="#e879f930"/> <text x="115" y="22" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="14" fill="#e879f9">SCALAR LINK: TIME (t)</text> <text x="115" y="40" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">The only variable shared by both axes.</text> </g> <!-- Footer: Principle of Superposition --> <rect x="30" y="470" width="840" height="70" rx="16" fill="#ffffff05" stroke="#ffffff10"/> <text x="450" y="495" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="16" fill="#f8fafc">THE PRINCIPLE OF SUPERPOSITION</text> <text x="450" y="518" text-anchor="middle" font-family="sans-serif" font-size="13" fill="#94a3b8">Horizontal and vertical motions are independent. The net response is the vector sum of individual components.</text> <!-- Markers --> <marker id="arrowBlue" markerWidth="10" markerHeight="10" refX="9" refY="3" orient="auto" markerUnits="strokeWidth"> <path d="M0,0 L0,6 L9,3 z" fill="#38bdf8" /> </marker> <marker id="arrowAmber" markerWidth="10" markerHeight="10" refX="9" refY="3" orient="auto" markerUnits="strokeWidth"> <path d="M0,0 L0,6 L9,3 z" fill="#f59e0b" /> </marker> <marker id="arrowAmberSmall" markerWidth="6" markerHeight="6" refX="5" refY="3" orient="auto"> <path d="M0,0 L0,6 L6,3 z" fill="#f59e0b" /> </marker> <!-- Decorative Elements --> <circle cx="850" cy="50" r="30" fill="url(#accentGrad)" opacity="0.1"/> <circle cx="50" cy="510" r="20" fill="#38bdf8" opacity="0.1"/> </svg>Two-Dimensional Motion and Vectors image 1Two-Dimensional Motion and Vectors - High School Physics - image 1https://www.getlykke.com/explore/public/high-school-physics-060065c2-a6bb-4d4e-a0a1-42b95ab5e1eb/media/2d-motion-vectors/svg/1Two-Dimensional Motion and Vectors diagram 1Two-Dimensional Motion and Vectors - High School Physics - diagram 1https://www.getlykke.com/explore/public/high-school-physics-060065c2-a6bb-4d4e-a0a1-42b95ab5e1eb/media/2d-motion-vectors/svg/2Two-Dimensional Motion and Vectors diagram 2Two-Dimensional Motion and Vectors - High School Physics - diagram 2https://www.getlykke.com/explore/public/high-school-physics-060065c2-a6bb-4d4e-a0a1-42b95ab5e1eb/media/2d-motion-vectors/svg/3Two-Dimensional Motion and Vectors diagram 3Two-Dimensional Motion and Vectors - High School Physics - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg-grad" x1="0%" y1="0%" x2="0%" y2="100%"> <stop offset="0%" style="stop-color:#0f172a;stop-opacity:1" /> <stop offset="100%" style="stop-color:#1e1b4b;stop-opacity:1" /> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff" stroke-width="0.5" stroke-opacity="0.05"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> <linearGradient id="accent-amber" x1="0%" y1="0%" x2="100%" y2="0%"> <stop offset="0%" style="stop-color:#f59e0b;stop-opacity:1" /> <stop offset="100%" style="stop-color:#fbbf24;stop-opacity:1" /> </linearGradient> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg-grad)" /> <rect width="900" height="560" fill="url(#grid)" /> <!-- Header --> <text x="40" y="60" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="-0.025em"> WORK, ENERGY &amp; POWER </text> <text x="40" y="85" font-family="sans-serif" font-size="14" fill="#94a3b8"> The Scalar Accounting System of Classical Mechanics </text> <rect x="40" y="105" width="120" height="4" fill="#38bdf8" rx="2" /> <!-- Main Conceptual Map: Work --> <rect x="40" y="130" width="260" height="380" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1" /> <text x="60" y="165" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">I. WORK (W)</text> <text x="60" y="185" font-family="sans-serif" font-size="12" fill="#94a3b8">Energy transfer via force</text> <!-- Work Diagram --> <g transform="translate(60, 210)"> <line x1="0" y1="60" x2="180" y2="60" stroke="#475569" stroke-dasharray="4 4" /> <rect x="40" y="30" width="40" height="30" fill="#334155" stroke="#94a3b8" /> <!-- Force Vector --> <line x1="60" y1="45" x2="130" y2="15" stroke="#f59e0b" stroke-width="3" marker-end="url(#arrow-amber)" /> <path d="M 90 45 A 30 30 0 0 0 85 35" fill="none" stroke="#f59e0b" stroke-width="1" /> <text x="95" y="38" font-family="serif" font-style="italic" font-size="12" fill="#f59e0b">θ</text> <text x="135" y="15" font-family="serif" font-weight="bold" font-size="14" fill="#f59e0b">F</text> <!-- Displacement Vector --> <line x1="85" y1="75" x2="160" y2="75" stroke="#38bdf8" stroke-width="3" /> <text x="165" y="80" font-family="serif" font-weight="bold" font-size="14" fill="#38bdf8">d</text> </g> <text x="60" y="330" font-family="serif" font-size="18" fill="#f8fafc">W = Fd cos θ</text> <g font-family="sans-serif" font-size="11" fill="#cbd5e1"> <text x="60" y="360" font-weight="bold" fill="#fbbf24">θ = 0°</text> <text x="120" y="360">Max Positive Work</text> <text x="60" y="385" font-weight="bold" fill="#94a3b8">θ = 90°</text> <text x="120" y="385">Zero Work (Normal)</text> <text x="60" y="410" font-weight="bold" fill="#ef4444">θ = 180°</text> <text x="120" y="410">Negative Work (Friction)</text> </g> <!-- Main Conceptual Map: Energy --> <rect x="320" y="130" width="260" height="380" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1" /> <text x="340" y="165" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">II. ENERGY (K)</text> <text x="340" y="185" font-family="sans-serif" font-size="12" fill="#94a3b8">The capacity to do work</text> <!-- Kinetic Energy Visual --> <g transform="translate(340, 210)"> <circle cx="40" cy="45" r="20" fill="#1e293b" stroke="#38bdf8" stroke-width="2" /> <path d="M 70 35 L 100 35 M 70 45 L 115 45 M 70 55 L 100 55" stroke="#38bdf8" stroke-width="2" stroke-linecap="round" opacity="0.6" /> <text x="35" y="50" font-family="serif" font-size="12" fill="#38bdf8">m</text> <text x="120" y="50" font-family="serif" font-weight="bold" font-size="16" fill="#38bdf8">v</text> </g> <text x="340" y="330" font-family="serif" font-size="18" fill="#f8fafc">K = ½mv²</text> <rect x="340" y="350" width="220" height="130" rx="8" fill="#38bdf810" /> <text x="350" y="375" font-family="sans-serif" font-weight="bold" font-size="12" fill="#38bdf8">THE WORK-ENERGY THEOREM</text> <text x="350" y="395" font-family="sans-serif" font-size="11" fill="#cbd5e1">The net work done on an object</text> <text x="350" y="410" font-family="sans-serif" font-size="11" fill="#cbd5e1">equals its change in kinetic energy.</text> <text x="350" y="450" font-family="serif" font-size="20" fill="#f8fafc" filter="url(#glow)">W<tspan baseline-shift="sub" font-size="12">net</tspan> = ΔK</text> <!-- Main Conceptual Map: Power --> <rect x="600" y="130" width="260" height="380" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1" /> <text x="620" y="165" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">III. POWER (P)</text> <text x="620" y="185" font-family="sans-serif" font-size="12" fill="#94a3b8">The time-rate of doing work</text> <!-- Power Visual: Clock/Speed --> <g transform="translate(620, 210)"> <circle cx="45" cy="45" r="35" fill="none" stroke="#e879f9" stroke-width="2" stroke-dasharray="2 2" /> <line x1="45" y1="45" x2="45" y2="20" stroke="#e879f9" stroke-width="3" stroke-linecap="round" /> <line x1="45" y1="45" x2="65" y2="45" stroke="#e879f9" stroke-width="2" stroke-linecap="round" /> <path d="M 100 20 L 140 20 L 130 70 L 90 70 Z" fill="#e879f920" stroke="#e879f9" stroke-width="1" /> <text x="105" y="50" font-family="sans-serif" font-weight="bold" font-size="10" fill="#e879f9">JOULES</text> <text x="108" y="62" font-family="sans-serif" font-size="8" fill="#e879f9">per sec</text> </g> <text x="620" y="330" font-family="serif" font-size="18" fill="#f8fafc">P = dW / dt</text> <text x="620" y="360" font-family="serif" font-size="18" fill="#f8fafc">P = F · v</text> <g font-family="sans-serif" font-size="11" fill="#cbd5e1"> <text x="620" y="400" font-weight="bold" fill="#e879f9">Unit: Watt (W)</text> <text x="620" y="420">1 Watt = 1 Joule / second</text> <text x="620" y="445" font-style="italic">"How fast the energy</text> <text x="620" y="460" font-style="italic">accounting changes."</text> </g> <!-- Footer / Decor --> <text x="450" y="540" font-family="sans-serif" font-size="10" fill="#475569" text-anchor="middle" letter-spacing="0.1em"> SCALAR QUANTITIES • JOULES (J) • WATTS (W) • CONSERVATION OF ENERGY </text> <!-- Markers --> <marker id="arrow-amber" markerWidth="10" markerHeight="10" refX="9" refY="3" orient="auto" markerUnits="strokeWidth"> <path d="M0,0 L0,6 L9,3 z" fill="#f59e0b" /> </marker> </svg>Work, Energy, and Power image 1Work, Energy, and Power - High School Physics - image 1https://www.getlykke.com/explore/public/high-school-physics-060065c2-a6bb-4d4e-a0a1-42b95ab5e1eb/media/work-energy-power/svg/1Work, Energy, and Power diagram 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<!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="450" y="50" text-anchor="middle" font-family="Arial, sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="2">MECHANICAL WAVES &amp; PROPERTIES</text> <text x="450" y="75" text-anchor="middle" font-family="Arial, sans-serif" font-size="14" fill="#94a3b8" letter-spacing="1">ENERGY PROPAGATION THROUGH ELASTIC MEDIA</text> <line x1="350" y1="85" x2="550" y2="85" stroke="#38bdf8" stroke-width="2" stroke-linecap="round"/> <!-- Left Card: Transverse --> <rect x="40" y="110" width="400" height="240" rx="16" fill="url(#cardGrad)" stroke="#ffffff10" stroke-width="1"/> <text x="60" y="145" font-family="Arial, sans-serif" font-weight="bold" font-size="20" fill="#38bdf8">TRANSVERSE WAVES</text> <text x="60" y="165" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">Particle motion is perpendicular to propagation</text> <!-- Transverse Illustration --> <path d="M 70 240 Q 100 170 130 240 T 190 240 T 250 240 T 310 240 T 370 240" fill="none" stroke="#38bdf8" stroke-width="3" stroke-linecap="round"/> <circle cx="130" cy="175" r="4" fill="#f59e0b"/> <!-- Crest --> <text x="130" y="165" text-anchor="middle" font-family="Arial, sans-serif" font-size="11" fill="#f59e0b" font-weight="bold">CREST</text> <circle cx="190" cy="305" r="4" fill="#f59e0b"/> <!-- Trough --> <text x="190" y="320" text-anchor="middle" font-family="Arial, sans-serif" font-size="11" fill="#f59e0b" font-weight="bold">TROUGH</text> <!-- Transverse Motion Arrows --> <path d="M 80 210 L 80 270" stroke="#f8fafc" stroke-width="2" marker-start="url(#arrow)" marker-end="url(#arrow)"/> <text x="85" y="245" font-family="Arial, sans-serif" font-size="10" fill="#f8fafc" transform="rotate(-90 85 245)">OSCILLATION</text> <path d="M 340 240 L 400 240" stroke="#e879f9" stroke-width="2" stroke-dasharray="4"/> <text x="340" y="230" font-family="Arial, sans-serif" font-size="10" fill="#e879f9">PROPAGATION</text> <!-- Right Card: Longitudinal --> <rect x="460" y="110" width="400" height="240" rx="16" fill="url(#cardGrad)" stroke="#ffffff10" stroke-width="1"/> <text x="480" y="145" font-family="Arial, sans-serif" font-weight="bold" font-size="20" fill="#fbbf24">LONGITUDINAL WAVES</text> <text x="480" y="165" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">Particle motion is parallel to propagation</text> <!-- Longitudinal Illustration --> <g transform="translate(480, 220)"> <!-- Compressions --> <rect x="10" y="0" width="5" height="60" fill="#fbbf24" opacity="0.8"/> <rect x="18" y="0" width="5" height="60" fill="#fbbf24" opacity="0.8"/> <rect x="26" y="0" width="5" height="60" fill="#fbbf24" opacity="0.8"/> <text x="18" y="-10" text-anchor="middle" font-family="Arial, sans-serif" font-size="10" fill="#fbbf24">COMPRESSION</text> <!-- Rarefactions --> <rect x="70" y="0" width="2" height="60" fill="#94a3b8" opacity="0.4"/> <rect x="110" y="0" width="2" height="60" fill="#94a3b8" opacity="0.4"/> <text x="90" y="-10" text-anchor="middle" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8">RAREFACTION</text> <!-- More Compressions --> <rect x="150" y="0" width="5" height="60" fill="#fbbf24" opacity="0.8"/> <rect x="158" y="0" width="5" height="60" fill="#fbbf24" opacity="0.8"/> <rect x="166" y="0" width="5" height="60" fill="#fbbf24" opacity="0.8"/> <!-- Motion Arrows --> <path d="M 250 30 L 310 30" stroke="#f8fafc" stroke-width="2"/> <path d="M 280 20 L 280 40" stroke="#f8fafc" stroke-width="2"/> <text x="280" y="55" text-anchor="middle" font-family="Arial, sans-serif" font-size="10" fill="#f8fafc">PARALLEL MOTION</text> </g> <!-- Bottom Card: Wave Equation --> <rect x="40" y="370" width="820" height="160" rx="16" fill="#ffffff15" stroke="#38bdf8" stroke-width="1" stroke-dasharray="4 4"/> <g transform="translate(80, 410)"> <text x="0" y="30" font-family="Arial, sans-serif" font-weight="bold" font-size="18" fill="#f8fafc">THE WAVE SPEED EQUATION</text> <text x="0" y="55" font-family="Arial, sans-serif" font-size="13" fill="#94a3b8" font-style="italic">Determined by the properties of the medium</text> <!-- Large Formula --> <g transform="translate(400, 60)"> <text x="0" y="0" font-family="Georgia, serif" font-size="64" fill="#f8fafc" text-anchor="middle"> <tspan fill="#38bdf8">v</tspan> = <tspan fill="#e879f9">f</tspan> <tspan fill="#fbbf24">λ</tspan> </text> <!-- Labels --> <g font-family="Arial, sans-serif" font-size="12" text-anchor="middle"> <text x="-80" y="40" fill="#38bdf8">VELOCITY (m/s)</text> <text x="0" y="40" fill="#e879f9">FREQUENCY (Hz)</text> <text x="85" y="40" fill="#fbbf24">WAVELENGTH (m)</text> </g> </g> <!-- Key Fact Box --> <g transform="translate(620, 10)"> <rect width="140" height="100" rx="8" fill="#00000030"/> <text x="70" y="30" text-anchor="middle" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8" font-weight="bold">QUICK FACT</text> <text x="15" y="55" font-family="Arial, sans-serif" font-size="11" fill="#f8fafc"> <tspan x="15" dy="0">Mechanical waves</tspan> <tspan x="15" dy="15">CANNOT travel</tspan> <tspan x="15" dy="15">through a vacuum.</tspan> </text> </g> </g> <!-- Decorative Corner Elements --> <circle cx="40" cy="40" r="20" fill="none" stroke="#38bdf8" stroke-width="1" opacity="0.3"/> <circle cx="40" cy="40" r="10" fill="#38bdf8" opacity="0.2"/> <circle cx="860" cy="520" r="30" fill="none" stroke="#e879f9" stroke-width="1" opacity="0.3"/> </svg>Mechanical Waves and Properties image 1Mechanical Waves and Properties - High School Physics - image 1https://www.getlykke.com/explore/public/high-school-physics-060065c2-a6bb-4d4e-a0a1-42b95ab5e1eb/media/mechanical-waves/svg/1Mechanical Waves and Properties diagram 1Mechanical Waves and Properties - High School Physics - diagram 1https://www.getlykke.com/explore/public/high-school-physics-060065c2-a6bb-4d4e-a0a1-42b95ab5e1eb/media/mechanical-waves/svg/2Mechanical Waves and Properties diagram 2Mechanical Waves and Properties - High School Physics - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <!-- Subtle Grid Pattern --> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <rect width="900" height="560" fill="url(#grid)"/> <!-- Decorative Circles --> <circle cx="850" cy="50" r="100" fill="#38bdf8" fill-opacity="0.05"/> <circle cx="50" cy="510" r="80" fill="#e879f9" fill-opacity="0.05"/> <!-- Header Section --> <text x="40" y="60" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" filter="url(#glow)">THE PHYSICS OF SOUND</text> <rect x="40" y="75" width="320" height="4" fill="url(#accentGrad)" rx="2"/> <text x="40" y="95" font-family="sans-serif" font-size="14" fill="#94a3b8" letter-spacing="1">MECHANICAL WAVES &amp; ACOUSTIC RESONANCE</text> <!-- Panel 1: Wave Propagation --> <rect x="40" y="120" width="260" height="400" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="150" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">01. PROPAGATION</text> <text x="60" y="170" font-family="sans-serif" font-size="12" fill="#94a3b8">Longitudinal Pressure Waves</text> <!-- Wave Animation/Diagram --> <g transform="translate(60, 200)"> <!-- Rarefaction/Compression visual --> <rect width="220" height="60" fill="#00000033" rx="8"/> <g stroke="#38bdf8" stroke-width="2" stroke-linecap="round"> <!-- Compression --> <line x1="20" y1="10" x2="20" y2="50" opacity="0.8"/> <line x1="23" y1="10" x2="23" y2="50" opacity="0.8"/> <line x1="26" y1="10" x2="26" y2="50" opacity="0.8"/> <!-- Rarefaction --> <line x1="50" y1="10" x2="50" y2="50" opacity="0.3"/> <line x1="80" y1="10" x2="80" y2="50" opacity="0.3"/> <!-- Compression --> <line x1="110" y1="10" x2="110" y2="50" opacity="0.8"/> <line x1="113" y1="10" x2="113" y2="50" opacity="0.8"/> <line x1="116" y1="10" x2="116" y2="50" opacity="0.8"/> <!-- Rarefaction --> <line x1="140" y1="10" x2="140" y2="50" opacity="0.3"/> <line x1="170" y1="10" x2="170" y2="50" opacity="0.3"/> <!-- Compression --> <line x1="200" y1="10" x2="200" y2="50" opacity="0.8"/> <line x1="203" y1="10" x2="203" y2="50" opacity="0.8"/> </g> <text x="15" y="75" font-family="sans-serif" font-size="10" fill="#f59e0b" font-weight="bold">COMPRESSION</text> <text x="135" y="75" font-family="sans-serif" font-size="10" fill="#38bdf8" font-weight="bold">RAREFACTION</text> </g> <text x="60" y="310" font-family="sans-serif" font-size="13" fill="#f8fafc" width="220"> <tspan x="60" dy="1.4em">Sound travels via the periodic</tspan> <tspan x="60" dy="1.4em">displacement of molecules.</tspan> <tspan x="60" dy="1.4em">Unlike light, it requires a</tspan> <tspan x="60" dy="1.4em">physical medium to exist.</tspan> </text> <!-- Panel 2: Speed of Sound --> <rect x="320" y="120" width="260" height="400" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="340" y="150" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">02. VELOCITY</text> <!-- Formula Box --> <rect x="340" y="170" width="220" height="80" rx="12" fill="#00000044"/> <text x="450" y="210" font-family="serif" font-style="italic" font-size="24" fill="#f8fafc" text-anchor="middle"> v = √ (B / ρ) </text> <text x="450" y="235" font-family="sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">BULK MODULUS / DENSITY</text> <!-- Speed Comparison --> <g transform="translate(340, 270)"> <text x="0" y="20" font-family="sans-serif" font-size="12" fill="#94a3b8">MEDIUM VARIANCE (m/s)</text> <rect x="0" y="35" width="220" height="8" rx="4" fill="#ffffff11"/> <rect x="0" y="35" width="40" height="8" rx="4" fill="#38bdf8"/> <text x="0" y="58" font-family="sans-serif" font-size="11" fill="#f8fafc">AIR (20°C) ~343</text> <rect x="0" y="75" width="220" height="8" rx="4" fill="#ffffff11"/> <rect x="0" y="75" width="120" height="8" rx="4" fill="#e879f9"/> <text x="0" y="98" font-family="sans-serif" font-size="11" fill="#f8fafc">WATER ~1,480</text> <rect x="0" y="115" width="220" height="8" rx="4" fill="#ffffff11"/> <rect x="0" y="115" width="200" height="8" rx="4" fill="#f59e0b"/> <text x="0" y="138" font-family="sans-serif" font-size="11" fill="#f8fafc">STEEL ~5,960</text> </g> <text x="340" y="450" font-family="sans-serif" font-size="13" fill="#f8fafc"> <tspan x="340" dy="1.4em">Speed increases with stiffness</tspan> <tspan x="340" dy="1.4em">(Bulk Modulus) and decreases</tspan> <tspan x="340" dy="1.4em">with density.</tspan> </text> <!-- Panel 3: Standing Waves --> <rect x="600" y="120" width="260" height="400" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="620" y="150" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">03. 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PHYSICS DEPT</text> </svg>The Physics of Sound image 1The Physics of Sound - High School Physics - image 1https://www.getlykke.com/explore/public/high-school-physics-060065c2-a6bb-4d4e-a0a1-42b95ab5e1eb/media/physics-of-sound/svg/1The Physics of Sound diagram 1The Physics of Sound - High School Physics - diagram 1https://www.getlykke.com/explore/public/high-school-physics-060065c2-a6bb-4d4e-a0a1-42b95ab5e1eb/media/physics-of-sound/svg/2The Physics of Sound diagram 2The Physics of Sound - High School Physics - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <!-- Background and Decorative Elements --> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="30" height="30" patternUnits="userSpaceOnUse"> <path d="M 30 0 L 0 0 0 30" fill="none" stroke="#ffffff0a" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur 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fill="#f59e0b" filter="url(#glow)"/> <text x="80" y="195" text-anchor="middle" fill="#000" font-family="sans-serif" font-weight="bold" font-size="14">+</text> <text x="105" y="188" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="14">Proton</text> <text x="105" y="202" fill="#94a3b8" font-family="sans-serif" font-size="11">Charge: +1.602 × 10⁻¹⁹ C</text> <!-- Electron --> <circle cx="80" cy="240" r="12" fill="#38bdf8" filter="url(#glow)"/> <text x="80" y="244" text-anchor="middle" fill="#000" font-family="sans-serif" font-weight="bold" font-size="16">-</text> <text x="105" y="238" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="14">Electron</text> <text x="105" y="252" fill="#94a3b8" font-family="sans-serif" font-size="11">Charge: -1.602 × 10⁻¹⁹ C</text> <!-- Neutron --> <circle cx="80" cy="290" r="12" fill="#64748b"/> <text x="80" y="295" text-anchor="middle" fill="#000" font-family="sans-serif" font-weight="bold" font-size="12">0</text> <text 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marker-end="url(#arrow)"/> <path d="M 485 220 L 455 220" stroke="#e879f9" stroke-width="2" marker-end="url(#arrow)"/> <defs> <marker id="arrow" markerWidth="10" markerHeight="10" refX="9" refY="5" orientation="auto"> <path d="M0,0 L10,5 L0,10 Z" fill="#e879f9" /> </marker> </defs> <text x="450" y="280" text-anchor="middle" fill="#f8fafc" font-family="serif" font-style="italic" font-size="22">F = k · |q₁q₂| / r²</text> <text x="450" y="310" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="12">Force is proportional to charge</text> <text x="450" y="325" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="12">and inverse to distance squared.</text> <!-- Right Column: Material Behavior --> <rect x="600" y="120" width="260" height="260" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="620" y="150" fill="#38bdf8" font-family="sans-serif" font-weight="bold" font-size="18">CONDUCTIVITY</text> <!-- Conductor Box --> <rect x="620" y="170" 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Charge is transferred,</tspan> <tspan x="0" dy="18">never created or destroyed.</tspan> </text> </g> <!-- Decorative corner accents --> <path d="M 20 20 L 60 20 M 20 20 L 20 60" stroke="#38bdf8" stroke-width="2" fill="none" opacity="0.5"/> <path d="M 880 540 L 840 540 M 880 540 L 880 500" stroke="#f59e0b" stroke-width="2" fill="none" opacity="0.5"/> </svg>Static Electricity and Electric Force image 1Static Electricity and Electric Force - High School Physics - image 1https://www.getlykke.com/explore/public/high-school-physics-060065c2-a6bb-4d4e-a0a1-42b95ab5e1eb/media/static-electricity/svg/1Static Electricity and Electric Force diagram 1Static Electricity and Electric Force - High School Physics - diagram 1https://www.getlykke.com/explore/public/high-school-physics-060065c2-a6bb-4d4e-a0a1-42b95ab5e1eb/media/static-electricity/svg/2Static Electricity and Electric Force diagram 2Static Electricity and Electric Force - High School Physics - diagram 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terminal phase of the pedagogical lifecycle: From modular instruction to global synthesis.</text> <line x1="40" y1="105" x2="860" y2="105" stroke="#ffffff20" stroke-width="1"/> <!-- Left Column: Mastery Tiers --> <rect x="40" y="130" width="260" height="390" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="160" font-family="Inter, sans-serif" font-size="18" font-weight="700" fill="#38bdf8">Mastery Tier Hierarchy</text> <!-- Tier L3 --> <rect x="55" y="180" width="230" height="65" rx="12" fill="#e879f920" stroke="#e879f9" stroke-width="1"/> <text x="70" y="205" font-family="Inter, sans-serif" font-size="14" font-weight="bold" fill="#e879f9">L3: MASTERED (100%)</text> <text x="70" y="225" font-family="Inter, sans-serif" font-size="11" fill="#f8fafc">Synthesis &amp; long-term retention.</text> <!-- Tier L2 --> <rect x="55" y="255" width="230" height="65" rx="12" fill="#38bdf815" stroke="#38bdf8" stroke-width="1"/> <text x="70" y="280" font-family="Inter, sans-serif" 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<circle cx="450" cy="280" r="80" fill="#ffffff05" stroke="url(#accentGrad)" stroke-width="2" stroke-dasharray="8 4"/> <circle cx="450" cy="280" r="60" fill="url(#accentGrad)" opacity="0.1" filter="url(#glow)"/> <text x="450" y="275" font-family="Inter, sans-serif" font-size="16" font-weight="800" fill="#f8fafc" text-anchor="middle">COURSE</text> <text x="450" y="295" font-family="Inter, sans-serif" font-size="16" font-weight="800" fill="#f8fafc" text-anchor="middle">CHALLENGE</text> <text x="450" y="315" font-family="Inter, sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">THE GATEKEEPER</text> <!-- Right Column: Learning Mechanics --> <rect x="600" y="130" width="260" height="185" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="620" y="160" font-family="Inter, sans-serif" font-size="18" font-weight="700" fill="#f59e0b">Interleaving Effect</text> <!-- Blocked vs Interleaved Visual --> <text x="620" y="185" font-family="Inter, sans-serif" font-size="11" 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memory.</text> <!-- Bottom Right: Synthesis Pipeline --> <rect x="600" y="335" width="260" height="185" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="620" y="365" font-family="Inter, sans-serif" font-size="18" font-weight="700" fill="#e879f9">Synthesis Pipeline</text> <g transform="translate(620, 385)"> <circle cx="10" cy="10" r="8" fill="#e879f9" opacity="0.2"/> <text x="10" y="14" font-family="Inter, sans-serif" font-size="10" font-weight="bold" fill="#e879f9" text-anchor="middle">1</text> <text x="25" y="14" font-family="Inter, sans-serif" font-size="12" fill="#f8fafc">Deconstruction</text> <circle cx="10" cy="35" r="8" fill="#e879f9" opacity="0.2"/> <text x="10" y="39" font-family="Inter, sans-serif" font-size="10" font-weight="bold" fill="#e879f9" text-anchor="middle">2</text> <text x="25" y="39" font-family="Inter, sans-serif" font-size="12" fill="#f8fafc">Domain Mapping</text> <circle cx="10" cy="60" r="8" fill="#e879f9" opacity="0.2"/> <text x="10" y="64" 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font-weight="bold" font-size="14" fill="#0f172a" text-anchor="middle">+</text> <text x="100" y="188" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Proton (p⁺)</text> <text x="100" y="202" font-family="sans-serif" font-size="11" fill="#94a3b8">Mass: 1 amu | Charge: +1</text> <!-- Neutron --> <circle cx="75" cy="240" r="12" fill="#64748b"/> <text x="75" y="245" font-family="sans-serif" font-weight="bold" font-size="14" fill="#0f172a" text-anchor="middle">0</text> <text x="100" y="238" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Neutron (n⁰)</text> <text x="100" y="252" font-family="sans-serif" font-size="11" fill="#94a3b8">Mass: 1 amu | Charge: 0</text> <!-- Electron --> <circle cx="75" cy="290" r="8" fill="#38bdf8" filter="url(#glow)"/> <text x="75" y="294" font-family="sans-serif" font-weight="bold" font-size="12" fill="#0f172a" text-anchor="middle">-</text> <text x="100" y="288" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Electron (e⁻)</text> <text x="100" y="302" font-family="sans-serif" font-size="11" fill="#94a3b8">Mass: ~0 amu | Charge: -1</text> <text x="60" y="340" font-family="sans-serif" font-size="12" fill="#94a3b8" font-style="italic">"The nucleus holds the mass,"</text> <text x="60" y="358" font-family="sans-serif" font-size="12" fill="#94a3b8" font-style="italic">"the cloud holds the volume."</text> <!-- Panel 2: Central Visualization --> <g transform="translate(450, 280)"> <!-- Orbitals --> <ellipse cx="0" cy="0" rx="140" ry="60" fill="none" stroke="#38bdf833" stroke-width="1.5" transform="rotate(0)"/> <ellipse cx="0" cy="0" rx="140" ry="60" fill="none" stroke="#38bdf833" stroke-width="1.5" transform="rotate(60)"/> <ellipse cx="0" cy="0" rx="140" ry="60" fill="none" stroke="#38bdf833" stroke-width="1.5" transform="rotate(120)"/> <!-- Electrons on paths --> <circle cx="140" cy="0" r="5" fill="#38bdf8" filter="url(#softGlow)"/> <circle cx="-70" cy="52" r="5" 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fill="#f59e0b" text-anchor="middle">THE IDENTITY PRINCIPLE</text> <text x="450" y="515" font-family="sans-serif" font-size="14" fill="#f8fafc" text-anchor="middle">The number of <tspan fill="#f59e0b" font-weight="bold">Protons (Z)</tspan> uniquely defines the element. 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2https://www.getlykke.com/explore/public/high-school-chemistry-2111ef9c-c824-4e8d-a812-01ff5c4bea79/media/atoms-isotopes-ions/svg/3Fundamental Building Blocks: Atoms, Isotopes, and Ions diagram 3Fundamental Building Blocks: Atoms, Isotopes, and Ions - High School Chemistry - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="bohr-grad" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#1d4ed8"/> </linearGradient> <radialGradient id="cloud-grad" cx="50%" cy="50%" r="50%"> <stop offset="0%" stop-color="#e879f9" stop-opacity="0.8"/> <stop offset="60%" stop-color="#e879f9" stop-opacity="0.2"/> <stop offset="100%" stop-color="#e879f9" stop-opacity="0"/> </radialGradient> <pattern id="grid" width="40" height="40" 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stroke-width="2" marker-end="url(#arrowhead)"/> <circle cx="130" cy="-10" r="8" fill="#38bdf8" opacity="0.5"/> <circle cx="190" cy="-10" r="10" fill="#94a3b8" opacity="0.5"/> <circle cx="145" cy="-25" r="3" fill="#f59e0b"/> </g> <g font-family="sans-serif" font-size="12" fill="#f8fafc"> <text x="60" y="330">• Complete electron transfer</text> <text x="60" y="350">• Non-directional Coulombic forces</text> <text x="60" y="370">• High melting points &amp; brittleness</text> <text x="60" y="390">• Lattice Energy (Born-Landé Eq.)</text> </g> <!-- Right Panel: Covalent --> <rect x="480" y="110" width="380" height="300" rx="16" fill="url(#covalentGrad)" stroke="#e879f933" stroke-width="1"/> <text x="500" y="145" fill="#e879f9" font-family="sans-serif" font-weight="700" font-size="20">COVALENT BONDING</text> <text x="500" y="165" fill="#94a3b8" font-family="sans-serif" font-size="12">Shared Electron Model &amp; Directional Orbitals</text> <!-- Covalent Illustration --> <g transform="translate(600, 230)"> <circle cx="0" cy="20" r="35" fill="none" stroke="#e879f9" stroke-width="2" stroke-dasharray="4 2"/> <circle cx="50" cy="20" r="35" fill="none" stroke="#e879f9" stroke-width="2" stroke-dasharray="4 2"/> <circle cx="25" cy="12" r="4" fill="#f59e0b" filter="url(#glow)"/> <circle cx="25" cy="28" r="4" fill="#f59e0b" filter="url(#glow)"/> <circle cx="0" cy="20" r="6" fill="#f8fafc"/> <circle cx="50" cy="20" r="6" fill="#f8fafc"/> <text x="25" y="70" text-anchor="middle" fill="#e879f9" font-family="sans-serif" font-size="11" font-style="italic">Orbital Overlap</text> </g> <g font-family="sans-serif" font-size="12" fill="#f8fafc"> <text x="500" y="330">• Electron pair sharing</text> <text x="500" y="350">• Directional &amp; discrete molecules</text> <text x="500" y="370">• Valence Bond &amp; MO Theory</text> <text x="500" y="390">• Octet Rule stability</text> </g> <!-- Bottom Section: Morse Potential --> <rect x="40" y="430" width="820" height="100" rx="16" fill="#ffffff05" stroke="#ffffff11" stroke-width="1"/> <text x="60" y="460" fill="#f59e0b" font-family="sans-serif" font-weight="700" font-size="16">THE THERMODYNAMIC DRIVE</text> <text x="60" y="485" fill="#94a3b8" font-family="sans-serif" font-size="12" width="400"> Bonding occurs when the system reaches a lower potential energy state (ΔG &lt; 0). </text> <!-- Morse Curve Mini-Graph --> <g transform="translate(550, 445)"> <path d="M0,10 Q20,10 40,60 T80,75 T150,20 T250,20" fill="none" stroke="#f59e0b" stroke-width="2" opacity="0.8"/> <line x1="0" y1="20" x2="250" y2="20" stroke="#94a3b8" stroke-width="1" stroke-dasharray="2 2"/> <circle cx="80" cy="75" r="4" fill="#f59e0b"/> <text x="85" y="90" fill="#f59e0b" font-family="sans-serif" font-size="10" font-weight="bold">Stable Bond Length (r₀)</text> <text x="200" y="15" fill="#94a3b8" font-family="sans-serif" font-size="9">Energy (E)</text> </g> <!-- Decorative Accents --> <circle cx="850" cy="50" r="30" fill="#38bdf8" opacity="0.05"/> 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2https://www.getlykke.com/explore/public/high-school-chemistry-2111ef9c-c824-4e8d-a812-01ff5c4bea79/media/chemical-bonding/svg/3Chemical Bonding and Molecular Structure diagram 3Chemical Bonding and Molecular Structure - High School Chemistry - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dotPattern" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10" /> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dotPattern)"/> <!-- Header --> <text x="40" y="60" font-family="Arial, sans-serif" font-weight="800" font-size="32" fill="#f8fafc">IONIC NOMENCLATURE</text> <text x="40" y="85" font-family="Arial, sans-serif" font-size="14" fill="#38bdf8" letter-spacing="1">THE STANDARDIZED PROTOCOL FOR CHEMICAL INFORMATICS</text> <line x1="40" y1="105" x2="860" y2="105" stroke="#ffffff20" stroke-width="1"/> <!-- Panel 1: Charge Neutrality (The Unit Test) --> <rect x="40" y="130" width="260" height="180" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="160" font-family="Arial, sans-serif" font-weight="bold" font-size="18" fill="#f59e0b">The Principle of Neutrality</text> <text x="60" y="185" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">The "Unit Test" for chemical viability.</text> <!-- Balance Visual --> <circle cx="110" cy="240" r="25" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <text x="110" y="245" text-anchor="middle" font-family="Arial, sans-serif" font-weight="bold" font-size="14" fill="#38bdf8">Cation</text> <circle cx="230" cy="240" r="25" fill="#e879f920" stroke="#e879f9" stroke-width="2"/> <text x="230" y="245" text-anchor="middle" font-family="Arial, sans-serif" font-weight="bold" font-size="14" fill="#e879f9">Anion</text> <path d="M140 240 L200 240" stroke="#f8fafc" stroke-width="2" stroke-dasharray="4"/> <text x="170" y="230" text-anchor="middle" font-family="Arial, sans-serif" font-size="10" fill="#f8fafc">Σ Charge = 0</text> <!-- Panel 2: Binary Logic (Fixed vs Variable) --> <rect x="320" y="130" width="540" height="180" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="340" y="160" font-family="Arial, sans-serif" font-weight="bold" font-size="18" fill="#f8fafc">Binary Compounds: The Pipeline</text> <!-- Type I --> <rect x="340" y="180" width="240" height="100" rx="8" fill="#ffffff05"/> <text x="350" y="200" font-family="Arial, sans-serif" font-weight="bold" font-size="14" fill="#38bdf8">TYPE I: Fixed Charge</text> <text x="350" y="220" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Groups 1, 2, &amp; Aluminum</text> <text x="350" y="245" font-family="Arial, sans-serif" font-size="13" fill="#f8fafc">NaCl → Sodium Chloride</text> <text x="350" y="265" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Charge is implied by position.</text> <!-- Type II --> <rect x="600" y="180" width="240" height="100" rx="8" fill="#ffffff05"/> <text x="610" y="200" font-family="Arial, sans-serif" font-weight="bold" font-size="14" fill="#e879f9">TYPE II: Variable Charge</text> <text x="610" y="220" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Transition Metals (Stock System)</text> <text x="610" y="245" font-family="Arial, sans-serif" font-size="13" fill="#f8fafc">FeCl₃ → Iron(III) Chloride</text> <text x="610" y="265" font-family="Arial, sans-serif" font-size="11" fill="#f59e0b">Numeral = Charge, not subscript.</text> <!-- Panel 3: Oxyanion Hierarchy (The Ladder) --> <rect x="40" y="330" width="420" height="200" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="360" font-family="Arial, sans-serif" font-weight="bold" font-size="18" fill="#f8fafc">The Oxyanion Series</text> <!-- Ladder --> <g transform="translate(60, 380)"> <line x1="10" y1="0" x2="10" y2="120" stroke="#ffffff20" stroke-width="2"/> <circle cx="10" cy="10" r="4" fill="#f59e0b"/> <text x="25" y="14" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#f59e0b">per-___-ate</text> <text x="140" y="14" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Highest Oxygen (ClO₄⁻)</text> <circle cx="10" cy="40" r="4" fill="#f8fafc"/> <text x="25" y="44" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#f8fafc">___-ate</text> <text x="140" y="44" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Standard Form (ClO₃⁻)</text> <circle cx="10" cy="70" r="4" fill="#f8fafc"/> <text x="25" y="74" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#f8fafc">___-ite</text> <text x="140" y="74" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">One Less Oxygen (ClO₂⁻)</text> <circle cx="10" cy="100" r="4" fill="#38bdf8"/> <text x="25" y="104" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#38bdf8">hypo-___-ite</text> <text x="140" y="104" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Lowest Oxygen (ClO⁻)</text> </g> <!-- Panel 4: Polyatomic "Structs" --> <rect x="480" y="330" width="380" height="200" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="500" y="360" font-family="Arial, sans-serif" font-weight="bold" font-size="18" fill="#f8fafc">Essential Polyatomic Library</text> <g transform="translate(500, 380)"> <rect x="0" y="0" width="170" height="35" rx="6" fill="#ffffff05"/> <text x="10" y="22" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#38bdf8">Ammonium</text> <text x="110" y="22" font-family="Arial, sans-serif" font-size="12" fill="#f8fafc">NH₄⁺</text> <rect x="180" 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fill="#f59e0b">Carbonate</text> <text x="110" y="112" font-family="Arial, sans-serif" font-size="12" fill="#f8fafc">CO₃²⁻</text> <rect x="180" y="90" width="170" height="35" rx="6" fill="#ffffff05"/> <text x="190" y="112" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#f59e0b">Phosphate</text> <text x="300" y="112" font-family="Arial, sans-serif" font-size="12" fill="#f8fafc">PO₄³⁻</text> </g> <!-- Decorative Elements --> <circle cx="840" cy="60" r="20" fill="none" stroke="#f59e0b" stroke-width="2" opacity="0.5"/> <circle cx="840" cy="60" r="12" fill="#f59e0b" opacity="0.2"/> <path d="M830 60 L850 60 M840 50 L840 70" stroke="#f59e0b" stroke-width="2"/> <!-- Footer Label --> <text x="450" y="550" text-anchor="middle" font-family="Arial, sans-serif" font-size="10" fill="#475569" letter-spacing="2">IUPAC STANDARD PROTOCOL // CHEMISTRY CORE v1.0</text> </svg>Ionic Nomenclature and Polyatomic Ions image 1Ionic Nomenclature and Polyatomic Ions - High School Chemistry - image 1https://www.getlykke.com/explore/public/high-school-chemistry-2111ef9c-c824-4e8d-a812-01ff5c4bea79/media/nomenclature-polyatomic-ions/svg/1Ionic Nomenclature and Polyatomic Ions diagram 1Ionic Nomenclature and Polyatomic Ions - High School Chemistry - diagram 1https://www.getlykke.com/explore/public/high-school-chemistry-2111ef9c-c824-4e8d-a812-01ff5c4bea79/media/nomenclature-polyatomic-ions/svg/2Ionic Nomenclature and Polyatomic Ions diagram 2Ionic Nomenclature and Polyatomic Ions - High School Chemistry - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10" /> </pattern> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Header Section --> <text x="450" y="60" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">STOICHIOMETRY &amp; THE MOLE</text> <text x="450" y="85" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" letter-spacing="3">THE QUANTITATIVE ENGINE OF CHEMISTRY</text> <rect x="350" y="95" width="200" height="2" fill="url(#accentGrad)" rx="1"/> <!-- The Bridge Concept (Main Visual) --> <!-- Left Side: Microscopic --> <rect x="40" y="140" width="260" height="220" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="170" y="175" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">MICROSCOPIC</text> <text x="170" y="195" 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text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">MACROSCOPIC</text> <text x="730" y="195" text-anchor="middle" font-family="sans-serif" font-size="12" fill="#94a3b8">Measurable Quantities</text> <!-- Beaker/Scale Icon --> <g transform="translate(705, 230)"> <path d="M0,50 L50,50 L50,10 L40,10 L40,40 L10,40 L10,10 L0,10 Z" fill="#f59e0b" fill-opacity="0.3"/> <rect x="5" y="35" width="40" height="10" fill="#f59e0b" fill-opacity="0.6"/> <path d="M15,0 L35,0 M25,0 L25,30" stroke="#f59e0b" stroke-width="2"/> </g> <text x="730" y="320" text-anchor="middle" font-family="sans-serif" font-size="13" fill="#f8fafc">Grams, Liters, &amp; Moles</text> <text x="730" y="340" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#94a3b8">Laboratory Scale Measurements</text> <!-- The Bridge (Center) --> <path d="M300,250 Q450,180 600,250" fill="none" stroke="url(#accentGrad)" stroke-width="4" stroke-dasharray="8,4"/> <path d="M300,270 Q450,340 600,270" fill="none" stroke="url(#accentGrad)" stroke-width="4" stroke-dasharray="8,4"/> <rect x="360" y="225" width="180" height="70" rx="12" fill="#1e293b" stroke="#e879f9" stroke-width="2"/> <text x="450" y="250" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="20" fill="#f8fafc">THE MOLE</text> <text x="450" y="275" text-anchor="middle" font-family="sans-serif" font-weight="600" font-size="14" fill="#e879f9">6.022 × 10²³</text> <!-- Bottom Info Cards --> <!-- Card 1: Molar Mass --> <rect x="40" y="400" width="260" height="120" rx="12" fill="#ffffff05" stroke="#ffffff10"/> <circle cx="70" cy="430" r="15" fill="#38bdf8" fill-opacity="0.2"/> <text x="70" y="435" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="14" fill="#38bdf8">M</text> <text x="100" y="432" font-family="sans-serif" font-weight="bold" font-size="16" fill="#f8fafc">Molar Mass</text> <text x="65" y="465" font-family="sans-serif" font-size="12" fill="#94a3b8">The mass of 1 mole of a</text> <text x="65" y="482" font-family="sans-serif" font-size="12" fill="#94a3b8">substance in grams (g/mol).</text> <text x="65" y="505" font-family="sans-serif" font-weight="bold" font-size="12" fill="#38bdf8">Σ (Atomic Masses)</text> <!-- Card 2: Molar Volume --> <rect x="320" y="400" width="260" height="120" rx="12" fill="#ffffff05" stroke="#ffffff10"/> <circle cx="350" cy="430" r="15" fill="#e879f9" fill-opacity="0.2"/> <text x="350" y="435" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="14" fill="#e879f9">V</text> <text x="380" y="432" font-family="sans-serif" font-weight="bold" font-size="16" fill="#f8fafc">Molar Volume</text> <text x="345" y="465" font-family="sans-serif" font-size="12" fill="#94a3b8">Volume of 1 mole of ideal</text> <text x="345" y="482" font-family="sans-serif" font-size="12" fill="#94a3b8">gas at STP (0°C, 1 atm).</text> <text x="345" y="505" font-family="sans-serif" font-weight="bold" font-size="13" fill="#e879f9">22.414 L/mol</text> <!-- Card 3: Conservation --> <rect x="600" y="400" width="260" height="120" rx="12" fill="#ffffff05" stroke="#ffffff10"/> <circle cx="630" cy="430" r="15" fill="#f59e0b" fill-opacity="0.2"/> <text x="630" y="435" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f59e0b">=</text> <text x="660" y="432" font-family="sans-serif" font-weight="bold" font-size="16" fill="#f8fafc">Conservation</text> <text x="625" y="465" font-family="sans-serif" font-size="12" fill="#94a3b8">Mass is neither created nor</text> <text x="625" y="482" font-family="sans-serif" font-size="12" fill="#94a3b8">destroyed in a reaction.</text> <text x="625" y="505" font-family="sans-serif" font-weight="bold" font-size="12" fill="#f59e0b">Reactants = Products</text> <!-- Decorative elements --> <circle cx="850" cy="50" r="30" fill="none" stroke="#ffffff05" stroke-width="8"/> <circle cx="50" cy="510" r="20" fill="none" stroke="#ffffff05" stroke-width="4"/> </svg>Stoichiometry and the Mole image 1Stoichiometry and the Mole - High School Chemistry - image 1https://www.getlykke.com/explore/public/high-school-chemistry-2111ef9c-c824-4e8d-a812-01ff5c4bea79/media/stoichiometry-mole/svg/1Stoichiometry and the Mole diagram 1Stoichiometry and the Mole - High School Chemistry - diagram 1https://www.getlykke.com/explore/public/high-school-chemistry-2111ef9c-c824-4e8d-a812-01ff5c4bea79/media/stoichiometry-mole/svg/2Stoichiometry and the Mole diagram 2Stoichiometry and the Mole - High School Chemistry - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg-grad" x1="0%" y1="0%" x2="0%" y2="100%"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dot-pattern" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff08"/> </pattern> <filter id="glow"> <feGaussianBlur 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font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">Kinetic Molecular Theory (KMT)</text> <text x="60" y="185" font-family="sans-serif" font-size="12" fill="#94a3b8">The mechanics of particle motion</text> <g transform="translate(60, 205)"> <!-- Postulate 1 --> <circle cx="10" cy="10" r="3" fill="#38bdf8"/> <text x="25" y="14" font-family="sans-serif" font-size="13" fill="#f8fafc">Negligible Volume: <tspan fill="#94a3b8">Particles as point masses</tspan></text> <!-- Postulate 2 --> <circle cx="10" cy="35" r="3" fill="#38bdf8"/> <text x="25" y="39" font-family="sans-serif" font-size="13" fill="#f8fafc">Random Motion: <tspan fill="#94a3b8">Straight lines until collision</tspan></text> <!-- Postulate 3 --> <circle cx="10" cy="60" r="3" fill="#38bdf8"/> <text x="25" y="64" font-family="sans-serif" font-size="13" fill="#f8fafc">Elastic Collisions: <tspan fill="#94a3b8">Total KE is conserved</tspan></text> <!-- Postulate 4 --> <circle cx="10" cy="85" r="3" fill="#38bdf8"/> <text x="25" y="89" font-family="sans-serif" font-size="13" fill="#f8fafc">KE ∝ Temperature: <tspan fill="#94a3b8">KE = 3/2 RT</tspan></text> </g> <!-- KMT Simulation Graphic --> <rect x="60" y="310" width="340" height="45" rx="8" fill="#00000030"/> <circle cx="85" cy="332" r="4" fill="#38bdf8"/> <path d="M 89 332 L 115 332" stroke="#38bdf8" stroke-width="2" stroke-dasharray="2,2"/> <circle cx="150" cy="325" r="4" fill="#38bdf8"/> <path d="M 150 325 L 170 345" stroke="#38bdf8" stroke-width="2" stroke-dasharray="2,2"/> <text x="190" y="337" font-family="monospace" font-size="11" fill="#38bdf8">v_rms = sqrt(3RT/M)</text> <!-- Right Panel: IMF --> <rect x="440" y="130" width="420" height="240" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="460" y="165" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">Intermolecular Forces (IMF)</text> <text x="460" y="185" font-family="sans-serif" font-size="12" fill="#94a3b8">The electrostatic "glue" between molecules</text> <!-- IMF Hierarchy --> <g transform="translate(460, 210)"> <!-- LDF --> <rect x="0" y="0" width="380" height="35" rx="6" fill="#ffffff05"/> <text x="10" y="22" font-family="sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">London Dispersion (LDF)</text> <text x="160" y="22" font-family="sans-serif" font-size="11" fill="#94a3b8">Temporary dipoles • Universal</text> <text x="340" y="22" font-family="sans-serif" font-size="11" fill="#f59e0b" text-anchor="end">Weakest</text> <!-- Dipole-Dipole --> <rect x="0" y="45" width="380" height="35" rx="6" fill="#ffffff05"/> <text x="10" y="67" font-family="sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">Dipole-Dipole</text> <text x="160" y="67" font-family="sans-serif" font-size="11" fill="#94a3b8">Permanent dipoles • Polar molecules</text> <!-- H-Bonding --> <rect x="0" y="90" width="380" height="35" rx="6" fill="#ffffff05"/> <text x="10" y="112" font-family="sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">Hydrogen Bonding</text> <text x="160" y="112" font-family="sans-serif" font-size="11" fill="#94a3b8">H + (N, O, or F) • High BP/MP</text> <text x="340" y="112" font-family="sans-serif" font-size="11" fill="#e879f9" text-anchor="end">Strongest</text> </g> <!-- Bottom Section: Phase Continuum --> <rect x="40" y="390" width="820" height="140" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <!-- Solid --> <g transform="translate(80, 415)"> <text x="45" y="15" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f8fafc" text-anchor="middle">SOLID</text> <g fill="#e879f9"> <circle cx="20" cy="40" r="6"/> <circle cx="45" cy="40" r="6"/> <circle cx="70" cy="40" r="6"/> <circle cx="20" cy="65" r="6"/> <circle cx="45" cy="65" r="6"/> <circle cx="70" cy="65" r="6"/> <circle cx="20" cy="90" r="6"/> <circle cx="45" cy="90" r="6"/> <circle cx="70" cy="90" r="6"/> </g> <text x="45" y="115" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">IMF &gt;&gt; KE</text> </g> <!-- Arrow --> <path d="M 200 470 L 300 470" stroke="#ffffff20" stroke-width="2" marker-end="url(#arrowhead)"/> <!-- Liquid --> <g transform="translate(360, 415)"> <text x="45" y="15" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f8fafc" text-anchor="middle">LIQUID</text> <g fill="#f59e0b"> <circle cx="25" cy="45" r="6"/> <circle cx="50" cy="38" r="6"/> <circle cx="72" cy="50" r="6"/> <circle cx="30" cy="70" r="6"/> <circle cx="55" cy="68" r="6"/> <circle cx="18" cy="92" r="6"/> <circle cx="45" cy="95" r="6"/> <circle cx="75" cy="85" r="6"/> <circle cx="65" cy="100" r="6"/> </g> <text x="45" y="115" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">IMF ≈ KE</text> </g> <!-- Arrow --> <path d="M 480 470 L 580 470" stroke="#ffffff20" stroke-width="2"/> <!-- Gas --> <g transform="translate(640, 415)"> <text x="45" y="15" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f8fafc" text-anchor="middle">GAS</text> <g fill="#38bdf8"> <circle cx="15" cy="40" r="6"/> <circle cx="80" cy="55" r="6"/> <circle cx="40" cy="85" r="6"/> <circle cx="85" cy="100" r="6"/> <!-- Velocity vectors --> <line x1="15" y1="40" x2="30" y2="30" stroke="#38bdf8" stroke-width="1.5"/> <line x1="80" y1="55" x2="60" y2="45" stroke="#38bdf8" stroke-width="1.5"/> <line x1="40" y1="85" x2="55" y2="105" stroke="#38bdf8" stroke-width="1.5"/> </g> <text x="45" y="115" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">KE &gt;&gt; IMF</text> </g> <!-- Temperature Gradient Bar --> <rect x="200" y="525" width="500" height="6" rx="3" fill="url(#temp-grad)"/> <linearGradient id="temp-grad" x1="0%" y1="0%" x2="100%" y2="0%"> <stop offset="0%" stop-color="#e879f9"/> <stop offset="50%" stop-color="#f59e0b"/> <stop offset="100%" stop-color="#38bdf8"/> </linearGradient> <text x="450" y="545" font-family="sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle" letter-spacing="2">INCREASING TEMPERATURE / KINETIC ENERGY</text> <!-- Decorative Corner Elements --> <circle cx="870" cy="30" r="40" fill="#ffffff05"/> <circle cx="870" cy="30" r="25" fill="#ffffff05"/> <path d="M 840 530 L 870 530 M 870 500 L 870 530" stroke="#ffffff20" stroke-width="2"/> </svg>States of Matter and Intermolecular Forces image 1States of Matter and Intermolecular Forces - High School Chemistry - image 1https://www.getlykke.com/explore/public/high-school-chemistry-2111ef9c-c824-4e8d-a812-01ff5c4bea79/media/states-of-matter-imf/svg/1States of Matter and Intermolecular Forces diagram 1States of Matter and Intermolecular Forces - High School Chemistry - diagram 1https://www.getlykke.com/explore/public/high-school-chemistry-2111ef9c-c824-4e8d-a812-01ff5c4bea79/media/states-of-matter-imf/svg/2States of Matter and Intermolecular Forces diagram 2States of Matter and Intermolecular Forces - High School Chemistry - diagram 2https://www.getlykke.com/explore/public/high-school-chemistry-2111ef9c-c824-4e8d-a812-01ff5c4bea79/media/states-of-matter-imf/svg/3States of Matter and Intermolecular Forces diagram 3States of Matter and Intermolecular Forces - High School Chemistry - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <linearGradient id="accent-blue" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#818cf8"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="450" y="50" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-weight="800" font-size="32" letter-spacing="1">CHEMICAL REACTIONS &amp; PREDICTING PRODUCTS</text> <path d="M 300 65 L 600 65" stroke="url(#accent-blue)" stroke-width="2" stroke-linecap="round" opacity="0.6"/> <text x="450" y="85" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="14" font-weight="500">A COMPREHENSIVE GUIDE TO THE REARRANGEMENT OF MATTER</text> <!-- Card 1: Conservation of Mass --> <rect x="30" y="110" width="260" height="420" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <circle cx="160" cy="150" r="25" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <path d="M 145 155 Q 160 140 175 155" fill="none" stroke="#38bdf8" stroke-width="2"/> <rect x="140" y="160" width="40" height="5" fill="#38bdf8"/> <text x="160" y="200" 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</g> <text x="50" y="440" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="600">Key Principle:</text> <text x="50" y="460" fill="#94a3b8" font-family="sans-serif" font-size="12">Number of atoms of each element</text> <text x="50" y="475" fill="#94a3b8" font-family="sans-serif" font-size="12">must remain constant.</text> <!-- Card 2: Synthesis & Decomposition --> <rect x="320" y="110" width="260" height="420" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="450" y="145" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-weight="700" font-size="18">Binary Logic</text> <text x="450" y="165" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="12">SYNTHESIS &amp; DECOMPOSITION</text> <!-- Synthesis Visual --> <g transform="translate(340, 190)"> <rect width="220" height="100" rx="12" fill="#38bdf810" stroke="#38bdf830"/> <text x="10" y="25" fill="#38bdf8" font-family="sans-serif" font-weight="700" font-size="14">SYNTHESIS</text> <circle cx="40" cy="65" r="12" fill="#38bdf8"/> <text x="65" y="70" fill="#f8fafc" font-size="18">+</text> <circle cx="95" cy="65" r="12" fill="#e879f9"/> <path d="M 120 65 L 145 65" stroke="#f8fafc" stroke-width="2" marker-end="url(#arrow)"/> <rect x="160" y="53" width="45" height="24" rx="12" fill="url(#accent-blue)"/> <text x="10" y="90" fill="#94a3b8" font-size="11">A + B → AB (Exothermic)</text> </g> <!-- Decomposition Visual --> <g transform="translate(340, 310)"> <rect width="220" height="100" rx="12" fill="#e879f910" stroke="#e879f930"/> <text x="10" y="25" fill="#e879f9" font-family="sans-serif" font-weight="700" font-size="14">DECOMPOSITION</text> <rect x="25" y="53" width="45" height="24" rx="12" fill="#e879f9"/> <path d="M 85 65 L 110 65" stroke="#f8fafc" stroke-width="2"/> <circle cx="140" cy="65" r="12" fill="#38bdf8"/> <text x="165" y="70" fill="#f8fafc" font-size="18">+</text> <circle cx="195" cy="65" r="12" fill="#e879f9"/> <text x="10" y="90" fill="#94a3b8" 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font-size="14">ACTIVITY SERIES</text> <rect x="0" y="15" width="220" height="180" rx="8" fill="#00000030"/> <!-- Reactivity Ladder --> <rect x="180" y="30" width="10" height="150" rx="5" fill="url(#reactivity-grad)"/> <linearGradient id="reactivity-grad" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#f59e0b"/> <stop offset="100%" stop-color="#3b82f6"/> </linearGradient> <text x="15" y="45" fill="#f8fafc" font-size="12" font-weight="bold">Li, K, Ca</text> <text x="110" y="45" fill="#94a3b8" font-size="10">High Reactivity</text> <text x="15" y="85" fill="#f8fafc" font-size="12" font-weight="bold">Mg, Al, Zn, Fe</text> <text x="110" y="85" fill="#94a3b8" font-size="10">Moderate</text> <text x="15" y="125" fill="#f8fafc" font-size="12" font-weight="bold">H (Reference)</text> <text x="15" y="165" fill="#f8fafc" font-size="12" font-weight="bold">Cu, Ag, Au</text> <text x="110" y="165" fill="#94a3b8" font-size="10">Noble / Low</text> <path d="M 170 30 L 170 180" 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letter-spacing="1">THERMODYNAMICS &amp; ENERGY</text> <text x="40" y="80" font-family="sans-serif" font-size="14" fill="#94a3b8" font-style="italic">The rigorous framework of chemical currency and heat exchange</text> <line x1="40" y1="95" x2="860" y2="95" stroke="#ffffff20" stroke-width="1"/> <!-- Left Column: Enthalpy (The Concept) --> <rect x="40" y="115" width="260" height="410" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="145" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">ENTHALPY (H)</text> <text x="60" y="165" font-family="sans-serif" font-size="12" fill="#94a3b8">The "Bookkeeping" Function</text> <!-- Enthalpy Formula Box --> <rect x="60" y="185" width="220" height="60" rx="8" fill="#00000030" stroke="#e879f940"/> <text x="170" y="222" font-family="serif" font-size="24" fill="#f8fafc" text-anchor="middle">H = U + PV</text> <!-- Piston Illustration --> <g transform="translate(100, 270)"> <rect x="0" y="0" width="80" height="100" 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font-size="12" fill="#f8fafc">c <tspan fill="#94a3b8" font-size="10">= Specific Heat Capacity</tspan></text> <circle cx="10" cy="70" r="4" fill="#f59e0b"/> <text x="25" y="74" font-family="sans-serif" font-size="12" fill="#f8fafc">ΔT <tspan fill="#94a3b8" font-size="10">= Temp Change (K or °C)</tspan></text> </g> <!-- Thermometer Icon --> <g transform="translate(700, 380)"> <path d="M10 0 L10 60 A10 10 0 1 0 30 60 L30 0 Z" fill="none" stroke="#94a3b8" stroke-width="2"/> <rect x="15" y="10" width="10" height="50" fill="#38bdf8" opacity="0.3"/> <circle cx="20" cy="65" r="8" fill="#38bdf8"/> <rect x="18" y="30" width="4" height="35" fill="#38bdf8"/> <!-- Heat waves --> <path d="M45 50 Q50 40 45 30" stroke="#f59e0b" fill="none" stroke-width="2"/> <path d="M55 55 Q60 45 55 35" stroke="#f59e0b" fill="none" stroke-width="2"/> </g> <text x="620" y="500" font-family="sans-serif" font-size="11" fill="#94a3b8" font-style="italic">Water has a high specific heat</text> <text x="620" y="515" font-family="sans-serif" font-size="11" fill="#94a3b8" font-style="italic">(4.184 J/g°C), resisting temp change.</text> <!-- Footer Decor --> <rect x="40" y="540" width="820" height="4" rx="2" fill="#ffffff05"/> <text x="860" y="552" font-family="sans-serif" font-size="9" fill="#475569" text-anchor="end">WIKI EDUCATIONAL RESOURCE • THERMODYNAMICS SERIES • VOL 01</text> </svg>Thermodynamics and Energy image 1Thermodynamics and Energy - High School Chemistry - image 1https://www.getlykke.com/explore/public/high-school-chemistry-2111ef9c-c824-4e8d-a812-01ff5c4bea79/media/thermodynamics/svg/1Thermodynamics and Energy diagram 1Thermodynamics and Energy - High School Chemistry - diagram 1https://www.getlykke.com/explore/public/high-school-chemistry-2111ef9c-c824-4e8d-a812-01ff5c4bea79/media/thermodynamics/svg/2Thermodynamics and Energy diagram 2Thermodynamics and Energy - High School Chemistry - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="40" y="60" font-family="Arial, sans-serif" font-weight="800" font-size="36" fill="#f8fafc">NUCLEAR CHEMISTRY</text> <text x="40" y="85" font-family="Arial, sans-serif" font-size="14" fill="#38bdf8" letter-spacing="3" font-weight="bold">TRANSFORMATIONS OF THE ATOMIC NUCLEUS</text> <rect x="40" y="100" width="120" height="4" fill="url(#accentGrad)" rx="2"/> <!-- Top Section: The Forces --> <rect x="40" y="130" width="400" height="120" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="155" font-family="Arial, sans-serif" font-size="16" font-weight="bold" fill="#f59e0b">THE FUNDAMENTAL BALANCE</text> <!-- Strong Force Icon --> <circle cx="80" cy="195" r="18" fill="#38bdf833" stroke="#38bdf8" stroke-width="2"/> <text x="80" y="200" text-anchor="middle" font-family="Arial, sans-serif" font-size="10" font-weight="bold" fill="#38bdf8">SF</text> <text x="110" y="185" font-family="Arial, sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Strong Nuclear Force</text> <text x="110" y="200" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Attracts nucleons. Short range (&lt;10⁻¹⁵m).</text> <!-- EM Force Icon --> <circle cx="260" cy="195" r="18" fill="#f43f5e33" stroke="#f43f5e" stroke-width="2"/> <text x="260" y="200" text-anchor="middle" font-family="Arial, sans-serif" font-size="10" font-weight="bold" fill="#f43f5e">EM</text> <text x="290" y="185" font-family="Arial, sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Electrostatic Force</text> <text x="290" y="200" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Repels protons. Long range.</text> <!-- Scale Comparison --> <rect x="460" y="130" width="400" height="120" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="480" y="155" font-family="Arial, sans-serif" font-size="16" font-weight="bold" fill="#e879f9">ENERGY SCALE</text> <text x="480" y="185" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">Chemical (Valence e⁻)</text> <text x="480" y="210" font-family="Arial, sans-serif" font-size="22" font-weight="bold" fill="#f8fafc">~1 eV</text> <path d="M 600 180 L 640 180" stroke="#ffffff20" stroke-width="2" marker-end="url(#arrow)"/> <text x="680" y="185" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">Nuclear (Nucleons)</text> <text x="680" y="210" font-family="Arial, sans-serif" font-size="22" font-weight="bold" fill="#38bdf8">~10⁶ eV (MeV)</text> <!-- Middle Section: Decay Modes --> <text x="40" y="290" font-family="Arial, sans-serif" font-size="18" font-weight="bold" fill="#f8fafc">MODES OF RADIOACTIVE DECAY</text> <!-- Alpha Card --> <rect x="40" y="310" width="265" height="100" rx="12" fill="#ffffff08" stroke="#f59e0b44"/> <circle cx="75" cy="345" r="8" fill="#f59e0b"/> <circle cx="87" cy="345" r="8" fill="#f59e0b"/> <circle cx="81" cy="355" r="8" fill="#f59e0b"/> <circle cx="81" cy="335" r="8" fill="#f59e0b"/> <text x="110" y="345" font-family="Arial, sans-serif" font-size="16" font-weight="bold" fill="#f59e0b">Alpha (α)</text> <text x="110" y="365" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">Helium Nucleus (⁴₂He)</text> <text x="110" y="382" font-family="Arial, sans-serif" font-size="11" fill="#f8fafc">ΔZ: -2 | ΔA: -4 | Low Penetration</text> <!-- Beta Card --> <rect x="317" y="310" width="265" height="100" rx="12" fill="#ffffff08" stroke="#e879f944"/> <circle cx="350" cy="360" r="6" fill="#e879f9"/> <path d="M 350 360 L 380 340" stroke="#e879f9" stroke-width="2" stroke-dasharray="4"/> <text x="390" y="345" font-family="Arial, sans-serif" font-size="16" font-weight="bold" fill="#e879f9">Beta (β⁻/β⁺)</text> <text x="390" y="365" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">Electron or Positron</text> <text x="390" y="382" font-family="Arial, sans-serif" font-size="11" fill="#f8fafc">ΔZ: +1 or -1 | Moderate Penetration</text> <!-- Gamma Card --> <rect x="595" y="310" width="265" height="100" rx="12" fill="#ffffff08" stroke="#38bdf844"/> <path d="M 615 360 Q 625 340 635 360 T 655 360" fill="none" stroke="#38bdf8" stroke-width="2"/> <text x="670" y="345" font-family="Arial, sans-serif" font-size="16" font-weight="bold" fill="#38bdf8">Gamma (γ)</text> <text x="670" y="365" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">High-energy Photon</text> <text x="670" y="382" font-family="Arial, sans-serif" font-size="11" fill="#f8fafc">ΔZ: 0 | ΔA: 0 | High Penetration</text> <!-- Bottom Left: Binding Energy Curve --> <rect x="40" y="430" width="400" height="100" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="455" font-family="Arial, sans-serif" font-size="14" font-weight="bold" fill="#94a3b8">BINDING ENERGY PER NUCLEON</text> <!-- Graph --> <path d="M 80 510 Q 100 465 140 465 L 380 490" fill="none" stroke="#38bdf8" stroke-width="3"/> <circle cx="140" cy="465" r="4" fill="#f43f5e"/> <text x="145" y="460" font-family="Arial, sans-serif" font-size="10" fill="#f8fafc">⁵⁶Fe (Peak Stability)</text> <text x="90" y="495" font-family="Arial, sans-serif" font-size="9" fill="#38bdf8" font-weight="bold">FUSION</text> <text x="300" y="485" font-family="Arial, sans-serif" font-size="9" fill="#e879f9" font-weight="bold">FISSION</text> <path d="M 80 515 L 380 515" stroke="#ffffff44" stroke-width="1"/> <text x="385" y="518" font-family="Arial, sans-serif" font-size="9" fill="#94a3b8">Mass Number (A)</text> <!-- Bottom Right: Kinetics --> <rect x="460" y="430" width="400" height="100" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="480" y="455" font-family="Arial, sans-serif" font-size="14" font-weight="bold" fill="#94a3b8">KINETICS: HALF-LIFE (t½)</text> <!-- Decay Visual --> <circle cx="500" cy="490" r="12" fill="#38bdf8"/> <path d="M 520 490 L 540 490" stroke="#ffffff44" stroke-width="2"/> <circle cx="560" cy="490" r="12" fill="#38bdf8" fill-opacity="0.5"/> <path d="M 580 490 L 600 490" stroke="#ffffff44" stroke-width="2"/> <circle cx="620" cy="490" r="12" fill="#38bdf8" fill-opacity="0.25"/> <text x="660" y="480" font-family="Arial, sans-serif" font-size="16" font-weight="bold" fill="#f8fafc">N(t) = N₀e⁻λᵗ</text> <text x="660" y="500" font-family="Arial, sans-serif" font-size="12" fill="#38bdf8">t½ = 0.693 / λ</text> <!-- Footer decoration --> <rect x="0" y="550" width="900" height="10" fill="url(#accentGrad)" opacity="0.5"/> </svg>Nuclear Chemistry image 1Nuclear Chemistry - High School Chemistry - image 1https://www.getlykke.com/explore/public/high-school-chemistry-2111ef9c-c824-4e8d-a812-01ff5c4bea79/media/nuclear-chemistry/svg/1Nuclear Chemistry diagram 1Nuclear Chemistry - High School Chemistry - diagram 1https://www.getlykke.com/explore/public/high-school-chemistry-2111ef9c-c824-4e8d-a812-01ff5c4bea79/media/nuclear-chemistry/svg/2Nuclear Chemistry diagram 2Nuclear Chemistry - High School Chemistry - diagram 2https://www.getlykke.com/explore/public/apcollege-calculus-bc-f0911bf9-0b0e-4390-9916-edee07cb90492026-04-20T05:00:44.000Zhttps://www.getlykke.com/explore/public/apcollege-calculus-bc-f0911bf9-0b0e-4390-9916-edee07cb9049/media/limits-and-continuity/svg/1Limits and Continuity diagram 1Limits and Continuity - AP/College Calculus BC - diagram 1https://www.getlykke.com/explore/public/apcollege-calculus-bc-f0911bf9-0b0e-4390-9916-edee07cb9049/media/limits-and-continuity/svg/2Limits and Continuity diagram 2Limits and Continuity - AP/College Calculus BC - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <!-- Background and Definitions --> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff08" /> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Base Layers --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Subtle Grid Lines --> <g stroke="#ffffff05" stroke-width="1"> <line x1="0" y1="280" x2="900" y2="280" /> <line x1="450" y1="0" x2="450" y2="560" /> </g> <!-- Header Section --> <text x="450" y="60" text-anchor="middle" font-family="sans-serif" font-size="32" font-weight="800" fill="#f8fafc" letter-spacing="1">DIFFERENTIATION: FUNDAMENTALS</text> <text x="450" y="85" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="400" fill="#94a3b8" letter-spacing="2">THE MATHEMATICAL STUDY OF INSTANTANEOUS CHANGE</text> <rect x="400" y="95" width="100" height="3" fill="#38bdf8" rx="1.5"/> <!-- Left Column: Physics Chain --> <rect x="30" y="120" width="220" height="410" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="50" y="150" font-family="sans-serif" font-size="18" font-weight="bold" fill="#38bdf8">PHYSICS OF MOTION</text> <g transform="translate(50, 180)"> <!-- Position --> <circle cx="20" cy="20" r="15" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <text x="17" y="25" fill="#38bdf8" font-family="serif" font-weight="bold">s</text> <text x="50" y="18" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">Position</text> <text x="50" y="34" font-family="sans-serif" font-size="11" fill="#94a3b8">Location over time f(t)</text> <!-- Arrow --> <path d="M20 45 L20 75" stroke="#94a3b8" stroke-width="2" marker-end="url(#arrowhead)" stroke-dasharray="4 2"/> <!-- Velocity --> <g transform="translate(0, 80)"> <circle cx="20" cy="20" r="15" fill="#e879f920" stroke="#e879f9" stroke-width="2"/> <text x="17" y="25" fill="#e879f9" font-family="serif" font-weight="bold">v</text> <text x="50" y="18" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">Velocity</text> <text x="50" y="34" font-family="sans-serif" font-size="11" fill="#94a3b8">Rate of change s'(t)</text> </g> <!-- Arrow --> <path d="M20 125 L20 155" stroke="#94a3b8" stroke-width="2" stroke-dasharray="4 2"/> <!-- Acceleration --> <g transform="translate(0, 160)"> <circle cx="20" cy="20" r="15" fill="#f59e0b20" stroke="#f59e0b" stroke-width="2"/> <text x="17" y="25" fill="#f59e0b" font-family="serif" font-weight="bold">a</text> <text x="50" y="18" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">Acceleration</text> <text x="50" y="34" font-family="sans-serif" font-size="11" fill="#94a3b8">Rate of change v'(t)</text> </g> </g> <text x="50" y="480" font-family="sans-serif" font-size="12" fill="#94a3b8" font-style="italic">"The derivative of position</text> <text x="50" y="496" font-family="sans-serif" font-size="12" fill="#94a3b8" font-style="italic">is velocity; the derivative of</text> <text x="50" y="512" font-family="sans-serif" font-size="12" fill="#94a3b8" font-style="italic">velocity is acceleration."</text> <!-- Center Column: The Limit Definition --> <rect x="270" y="120" width="360" height="260" rx="16" fill="#ffffff12" stroke="#ffffff20"/> <text x="450" y="150" text-anchor="middle" font-family="sans-serif" font-size="18" font-weight="bold" fill="#f59e0b">THE FORMAL DEFINITION</text> <!-- Graph Visualization --> <g transform="translate(320, 170)"> <!-- Axes --> <line x1="0" y1="100" x2="180" y2="100" stroke="#94a3b8" stroke-width="1"/> <line x1="20" y1="120" x2="20" y2="10" stroke="#94a3b8" stroke-width="1"/> <!-- Curve --> <path d="M30 90 Q 80 85, 160 20" stroke="#38bdf8" stroke-width="3" fill="none"/> <!-- Tangent Line --> <line x1="50" y1="95" x2="170" y2="15" stroke="#f59e0b" stroke-width="2" filter="url(#glow)"/> <!-- Points --> <circle cx="107" cy="58" r="4" fill="#f8fafc"/> <text x="115" y="65" font-family="serif" font-size="12" fill="#f8fafc">P</text> <!-- Zoom Circle Label --> <circle cx="107" cy="58" r="25" stroke="#ffffff30" stroke-width="1" fill="none" stroke-dasharray="2 2"/> <text x="140" y="85" font-family="sans-serif" font-size="10" fill="#94a3b8">Slope at a point</text> </g> <!-- Formula Box --> <rect x="300" y="295" width="300" height="60" rx="8" fill="#00000040"/> <text x="450" y="330" text-anchor="middle" font-family="serif" font-size="18" fill="#f8fafc"> f'(x) = lim <tspan baseline-shift="sub" font-size="10">h→0</tspan> [ f(x+h) - f(x) ] / h </text> <!-- Right Column: The Rules --> <rect x="650" y="120" width="220" height="410" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="670" y="150" font-family="sans-serif" font-size="18" font-weight="bold" fill="#e879f9">THE TOOLKIT</text> <g transform="translate(670, 180)"> <!-- Power Rule --> <rect width="180" height="80" rx="8" fill="#ffffff05" stroke="#e879f930"/> <text x="10" y="25" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Power Rule</text> <text x="10" y="55" font-family="serif" font-size="16" fill="#38bdf8">d/dx [xⁿ] = nxⁿ⁻¹</text> <!-- Product Rule --> <g transform="translate(0, 100)"> <rect width="180" height="80" rx="8" fill="#ffffff05" stroke="#e879f930"/> <text x="10" y="25" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Product Rule</text> <text x="10" y="55" font-family="serif" font-size="15" fill="#38bdf8">(uv)' = u'v + uv'</text> </g> <!-- Quotient Rule --> <g transform="translate(0, 200)"> <rect width="180" height="80" rx="8" fill="#ffffff05" stroke="#e879f930"/> <text x="10" y="25" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Chain Rule</text> <text x="10" y="55" font-family="serif" font-size="15" fill="#38bdf8">dy/dx = dy/du · du/dx</text> </g> </g> <!-- Bottom Center: Differentiability --> <rect x="270" y="400" width="360" height="130" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="290" y="430" font-family="sans-serif" font-size="16" font-weight="bold" fill="#f8fafc">Differentiability vs. Continuity</text> <g transform="translate(290, 450)"> <!-- Smooth Curve --> <path d="M10 40 Q 30 10, 50 40 T 90 40" stroke="#38bdf8" stroke-width="2" fill="none"/> <text x="10" y="65" font-family="sans-serif" font-size="10" fill="#94a3b8">Smooth (Diff.)</text> <!-- Cusp --> <path d="M120 40 L 145 10 L 170 40" stroke="#f43f5e" stroke-width="2" fill="none"/> <text x="120" y="65" font-family="sans-serif" font-size="10" fill="#94a3b8">Sharp Turn (Not Diff.)</text> <!-- Vertical --> <path d="M220 50 C 240 50, 240 0, 260 0" stroke="#f43f5e" stroke-width="2" fill="none"/> <text x="210" y="65" font-family="sans-serif" font-size="10" fill="#94a3b8">Vertical (Not Diff.)</text> </g> <text x="450" y="515" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#94a3b8" font-style="italic">Differentiability implies continuity, but continuity does not imply differentiability.</text> <!-- Decorative Accents --> <circle cx="850" cy="50" r="40" fill="#38bdf808" stroke="#38bdf810" stroke-width="1"/> <circle cx="850" cy="50" r="25" fill="#38bdf808" stroke="#38bdf810" stroke-width="1"/> <path d="M30 30 L 60 30 M 30 30 L 30 60" stroke="#f59e0b" stroke-width="2" opacity="0.5"/> </svg>Differentiation: Fundamentals image 1Differentiation: Fundamentals - AP/College Calculus BC - image 1https://www.getlykke.com/explore/public/apcollege-calculus-bc-f0911bf9-0b0e-4390-9916-edee07cb9049/media/differentiation-fundamentals/svg/1Differentiation: Fundamentals diagram 1Differentiation: Fundamentals - AP/College Calculus BC - diagram 1https://www.getlykke.com/explore/public/apcollege-calculus-bc-f0911bf9-0b0e-4390-9916-edee07cb9049/media/differentiation-fundamentals/svg/2Differentiation: Fundamentals diagram 2Differentiation: Fundamentals - AP/College Calculus BC - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bgGradient" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bgGradient)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="40" y="60" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">ADVANCED DIFFERENTIATION</text> <text x="40" y="85" font-family="sans-serif" font-size="14" fill="#94a3b8" letter-spacing="1">DECONSTRUCTING THE MACHINERY OF CHANGE</text> <line x1="40" y1="105" x2="860" y2="105" stroke="#334155" stroke-width="1"/> <!-- Left Column: THE CHAIN RULE --> <rect x="40" y="130" width="400" height="240" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <circle cx="75" cy="165" r="15" fill="#f59e0b" fill-opacity="0.2"/> <path d="M 70 165 L 80 165 M 75 160 L 75 170" stroke="#f59e0b" stroke-width="2" fill="none"/> <text x="100" y="170" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">THE CHAIN RULE</text> <text x="65" y="205" font-family="serif" font-style="italic" font-size="22" fill="#f8fafc">dy/dx = (dy/du) · (du/dx)</text> <text x="65" y="235" font-family="sans-serif" font-size="13" fill="#cbd5e1">The "Inside-Outside" engine for composite functions.</text> <!-- Visual Representation of Chain Rule (Nested Circles) --> <circle cx="100" cy="300" r="30" fill="none" stroke="#f59e0b" stroke-width="2" stroke-dasharray="4 2"/> <circle cx="100" cy="300" r="15" fill="#f59e0b" fill-opacity="0.4"/> <path d="M 140 300 L 170 300" stroke="#94a3b8" stroke-width="1" marker-end="url(#arrowhead)"/> <rect x="200" y="270" width="210" height="80" rx="8" fill="#00000030"/> <text x="210" y="290" font-family="monospace" font-size="11" fill="#38bdf8"># Neural Network Context</text> <text x="210" y="310" font-family="monospace" font-size="11" fill="#94a3b8">def backprop(error, weight):</text> <text x="210" y="330" font-family="monospace" font-size="11" fill="#94a3b8"> return error * weight.grad</text> <!-- Right Column: IMPLICIT DIFFERENTIATION --> <rect x="460" y="130" width="400" height="240" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <circle cx="495" cy="165" r="15" fill="#38bdf8" fill-opacity="0.2"/> <path d="M 490 160 Q 495 175 500 160" stroke="#38bdf8" stroke-width="2" fill="none"/> <text x="520" y="170" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">IMPLICIT RELATIONS</text> <text x="485" y="205" font-family="serif" font-style="italic" font-size="22" fill="#f8fafc">x² + y² = r² → y' = -x/y</text> <text x="485" y="235" font-family="sans-serif" font-size="13" fill="#cbd5e1">Differentiating intertwined variables where y = f(x) is hidden.</text> <!-- Visual Representation: Implicit Circle --> <circle cx="540" cy="305" r="35" fill="none" stroke="#334155" stroke-width="1"/> <line x1="500" y1="270" x2="580" y2="340" stroke="#38bdf8" stroke-width="2" filter="url(#glow)"/> <text x="590" y="295" font-family="sans-serif" font-size="11" fill="#94a3b8">Tangent at (x,y)</text> <text x="590" y="315" font-family="sans-serif" font-size="11" fill="#94a3b8">requires dy/dx isolation</text> <!-- Bottom Section: HIGHER ORDER DERIVATIVES --> <rect x="40" y="390" width="820" height="130" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="100" y="425" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">HIGHER-ORDER LAYERS</text> <!-- Step 1 --> <rect x="70" y="445" width="230" height="50" rx="8" fill="#e879f910" stroke="#e879f930"/> <text x="85" y="465" font-family="sans-serif" font-weight="bold" font-size="12" fill="#e879f9">f'(x)</text> <text x="85" y="482" font-family="sans-serif" font-size="11" fill="#94a3b8">VELOCITY / SLOPE</text> <!-- Arrow --> <path d="M 310 470 L 340 470" stroke="#475569" stroke-width="2" fill="none"/> <!-- Step 2 --> <rect x="350" y="445" width="230" height="50" rx="8" fill="#e879f920" stroke="#e879f950"/> <text x="365" y="465" font-family="sans-serif" font-weight="bold" font-size="12" fill="#e879f9">f''(x)</text> <text x="365" y="482" font-family="sans-serif" font-size="11" fill="#94a3b8">ACCELERATION / CONCAVITY</text> <!-- Arrow --> <path d="M 590 470 L 620 470" stroke="#475569" stroke-width="2" fill="none"/> <!-- Step 3 --> <rect x="630" y="445" width="190" height="50" rx="8" fill="#e879f930" stroke="#e879f9"/> <text x="645" y="465" font-family="sans-serif" font-weight="bold" font-size="12" fill="#f8fafc">f'''(x)</text> <text x="645" y="482" font-family="sans-serif" font-size="11" fill="#f8fafc">JERK / RATE OF CURVATURE</text> <!-- Footer Decor --> <text x="860" y="540" font-family="monospace" font-size="10" fill="#334155" text-anchor="end">CALCULUS_SERIES_VOL_04 // ADV_DIFF_TECHNIQUES</text> <!-- Abstract Shapes --> <circle cx="830" cy="60" r="20" fill="none" stroke="#334155" stroke-width="1"/> <circle cx="830" cy="60" r="10" fill="#e879f9" fill-opacity="0.3"/> <rect x="780" y="50" width="15" height="15" fill="none" stroke="#334155" stroke-width="1" transform="rotate(45 787.5 57.5)"/> </svg>Advanced Differentiation Techniques image 1Advanced Differentiation Techniques - AP/College Calculus BC - image 1https://www.getlykke.com/explore/public/apcollege-calculus-bc-f0911bf9-0b0e-4390-9916-edee07cb9049/media/advanced-differentiation/svg/1Advanced Differentiation Techniques diagram 1Advanced Differentiation Techniques - AP/College Calculus BC - diagram 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Differentiation diagram 3Contextual Applications of Differentiation - AP/College Calculus BC - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <!-- Definitions: Gradients, Filters, and Patterns --> <defs> <linearGradient id="bg-grad" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dot-pattern" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff08"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="3" result="blur"/> <feComposite in="SourceGraphic" in2="blur" operator="over"/> </filter> <linearGradient id="accent-amber" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#f59e0b"/> <stop offset="100%" stop-color="#d97706"/> </linearGradient> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg-grad)"/> <rect width="900" height="560" fill="url(#dot-pattern)"/> <!-- Header Section --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">ANALYTICAL APPLICATIONS OF DIFFERENTIATION</text> <text x="450" y="75" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" font-style="italic">Bridging Pure Calculation and Applied Reality</text> <line x1="300" y1="90" x2="600" y2="90" stroke="#334155" stroke-width="1"/> <!-- Left Panel: EVT --> <rect x="40" y="110" width="390" height="240" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">I. Extreme Value Theorem (EVT)</text> <text x="60" y="160" font-family="sans-serif" font-size="12" fill="#94a3b8">Guarantees existence of Absolute Extrema on [a, b].</text> <!-- EVT Mini-Graph --> <path d="M 80 300 Q 150 180 220 250 T 380 220" fill="none" stroke="#475569" stroke-width="2" stroke-dasharray="4"/> <path d="M 100 300 Q 150 180 220 250 T 340 235" fill="none" stroke="#f59e0b" stroke-width="3"/> <!-- Endpoints --> <circle cx="100" cy="275" r="4" fill="#f59e0b"/> <circle cx="340" cy="235" r="4" fill="#f59e0b"/> <text x="100" y="295" font-family="sans-serif" font-size="10" fill="#f59e0b" text-anchor="middle">a</text> <text x="340" y="255" font-family="sans-serif" font-size="10" fill="#f59e0b" text-anchor="middle">b</text> <!-- Absolute Max --> <circle cx="155" cy="208" r="5" fill="#e879f9" filter="url(#glow)"/> <text x="155" y="195" font-family="sans-serif" font-size="10" fill="#e879f9" text-anchor="middle" font-weight="bold">ABS MAX</text> <!-- Right Panel: MVT --> <rect x="470" y="110" width="390" height="240" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="490" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">II. Mean Value Theorem (MVT)</text> <text x="490" y="160" font-family="sans-serif" font-size="12" fill="#94a3b8">Instantaneous rate equals Average rate at point c.</text> <!-- MVT Mini-Graph --> <path d="M 520 300 Q 650 150 820 280" fill="none" stroke="#38bdf8" stroke-width="3"/> <!-- Secant Line --> <line x1="540" y1="275" x2="800" y2="265" stroke="#94a3b8" stroke-width="1" stroke-dasharray="5"/> <text x="670" y="285" font-family="sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">Secant (Avg Rate)</text> <!-- Tangent Line --> <line x1="600" y1="195" x2="740" y2="190" stroke="#38bdf8" stroke-width="2"/> <circle cx="670" cy="192" r="4" fill="#38bdf8" filter="url(#glow)"/> <text x="670" y="180" font-family="sans-serif" font-size="10" fill="#38bdf8" text-anchor="middle" font-weight="bold">f'(c)</text> <!-- Bottom Panel: Candidates Test --> <rect x="40" y="370" width="820" height="160" rx="16" fill="#ffffff05" stroke="#ffffff10"/> <text x="60" y="400" font-family="sans-serif" font-weight="700" font-size="18" fill="#f8fafc">The Candidates Test</text> <!-- Table-like Structure --> <g transform="translate(60, 420)"> <!-- Column 1 --> <rect width="240" height="80" rx="8" fill="#ffffff08"/> <text x="120" y="30" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="bold" fill="#e879f9">Stationary Points</text> <text x="120" y="55" text-anchor="middle" font-family="sans-serif" font-size="12" fill="#94a3b8">f'(x) = 0</text> <text x="120" y="70" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#64748b">Horizontal Tangents</text> <!-- Column 2 --> <rect x="260" width="240" height="80" rx="8" fill="#ffffff08"/> <text x="380" y="30" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="bold" fill="#e879f9">Singular Points</text> <text x="380" y="55" text-anchor="middle" font-family="sans-serif" font-size="12" fill="#94a3b8">f'(x) is Undefined</text> <text x="380" y="70" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#64748b">Cusps, Corners, Verticals</text> <!-- Column 3 --> <rect x="520" width="240" height="80" rx="8" fill="#ffffff08"/> <text x="640" y="30" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="bold" fill="#e879f9">Boundary Points</text> <text x="640" y="55" text-anchor="middle" font-family="sans-serif" font-size="12" fill="#94a3b8">x = a, x = b</text> <text x="640" y="70" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#64748b">Interval Endpoints</text> </g> <!-- Decorative Icons / Symbols --> <g opacity="0.2" transform="translate(820, 40)"> <circle cx="0" cy="0" r="30" fill="none" stroke="#38bdf8" stroke-width="1"/> <path d="M -15 0 L 15 0 M 0 -15 L 0 15" stroke="#38bdf8" stroke-width="1"/> </g> <!-- Footer Note --> <text x="450" y="545" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#475569">Calculus Section 4.1: Analytical Applications &amp; Optimization Theory</text> </svg>Analytical Applications of Differentiation image 1Analytical Applications of Differentiation - AP/College Calculus BC - image 1https://www.getlykke.com/explore/public/apcollege-calculus-bc-f0911bf9-0b0e-4390-9916-edee07cb9049/media/analytical-applications-differentiation/svg/1Analytical Applications of Differentiation diagram 1Analytical Applications of Differentiation - AP/College Calculus BC - diagram 1https://www.getlykke.com/explore/public/apcollege-calculus-bc-f0911bf9-0b0e-4390-9916-edee07cb9049/media/analytical-applications-differentiation/svg/2Analytical Applications of Differentiation diagram 2Analytical Applications of Differentiation - AP/College Calculus BC - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path 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stroke="#f8fafc" stroke-width="1"/> </g> <text x="130" y="210" text-anchor="middle" font-family="serif" font-size="20" fill="#f8fafc">Σ f(xᵢ*) Δx</text> <text x="20" y="245" font-family="sans-serif" font-size="13" fill="#94a3b8"> <tspan x="20" dy="18">• Approximation via rectangles</tspan> <tspan x="20" dy="18">• Limit as n approaches infinity</tspan> <tspan x="20" dy="18">• Area under the curve</tspan> <tspan x="20" dy="18">• Error depends on sample points</tspan> </text> <rect x="30" y="335" width="200" height="30" rx="8" fill="#38bdf820"/> <text x="130" y="355" text-anchor="middle" font-family="sans-serif" font-weight="600" font-size="12" fill="#38bdf8">THE RIEMANN SUM</text> </g> <!-- Column 2: FTC (The Great Unification) --> <g transform="translate(320, 130)"> <rect width="260" height="380" rx="16" fill="url(#cardGrad)" stroke="#ffffff10" stroke-width="1"/> <text x="130" y="40" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">THE UNIFICATION</text> <!-- FTC Visual: The Bridge --> <g transform="translate(50, 70)"> <path d="M 10 80 L 150 80" stroke="#e879f9" stroke-width="4" stroke-linecap="round"/> <path d="M 30 80 L 30 40 M 130 80 L 130 40" stroke="#e879f9" stroke-width="2"/> <circle cx="80" cy="40" r="25" fill="none" stroke="#e879f9" stroke-width="2" stroke-dasharray="2 2"/> <text x="80" y="45" text-anchor="middle" font-family="serif" font-size="18" fill="#f8fafc">FTC</text> </g> <text x="130" y="210" text-anchor="middle" font-family="serif" font-size="18" fill="#f8fafc">d/dx ∫ f(t) dt = f(x)</text> <text x="20" y="245" font-family="sans-serif" font-size="13" fill="#94a3b8"> <tspan x="20" dy="18">• Links derivatives &amp; integrals</tspan> <tspan x="20" dy="18">• Part 1: Accumulation rate</tspan> <tspan x="20" dy="18">• Part 2: Evaluation theorem</tspan> <tspan x="20" dy="18">• Inverse operations</tspan> </text> <rect x="30" y="335" width="200" height="30" rx="8" fill="#e879f920"/> <text x="130" y="355" 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font-family="sans-serif" font-size="11" fill="#64748b">CALCULUS BC: UNIT 6</text> <text x="860" y="545" text-anchor="end" font-family="sans-serif" font-size="11" fill="#64748b">INTEGRATION AND ACCUMULATION OF CHANGE</text> </svg>Integration and Accumulation of Change image 1Integration and Accumulation of Change - AP/College Calculus BC - image 1https://www.getlykke.com/explore/public/apcollege-calculus-bc-f0911bf9-0b0e-4390-9916-edee07cb9049/media/integration-and-accumulation/svg/1Integration and Accumulation of Change diagram 1Integration and Accumulation of Change - AP/College Calculus BC - diagram 1https://www.getlykke.com/explore/public/apcollege-calculus-bc-f0911bf9-0b0e-4390-9916-edee07cb9049/media/differential-equations/svg/1Differential Equations diagram 1Differential Equations - AP/College Calculus BC - diagram 1https://www.getlykke.com/explore/public/apcollege-calculus-bc-f0911bf9-0b0e-4390-9916-edee07cb9049/media/applications-of-integration/svg/1Applications of Integration diagram 1Applications of Integration - AP/College Calculus BC - diagram 1https://www.getlykke.com/explore/public/apcollege-calculus-bc-f0911bf9-0b0e-4390-9916-edee07cb9049/media/applications-of-integration/svg/2Applications of Integration diagram 2Applications of Integration - AP/College Calculus BC - diagram 2https://www.getlykke.com/explore/public/apcollege-calculus-bc-f0911bf9-0b0e-4390-9916-edee07cb9049/media/applications-of-integration/svg/3Applications of Integration diagram 3Applications of Integration - AP/College Calculus BC - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dotGrid" x="0" y="0" width="30" height="30" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10" /> </pattern> <marker id="arrowhead" markerWidth="10" markerHeight="7" refX="0" refY="3.5" 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text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="20" fill="#38bdf8">PARAMETRIC</text> <text x="160" y="165" text-anchor="middle" font-family="sans-serif" font-size="12" fill="#94a3b8">Decoupling the Path</text> <!-- Parametric Illustration: Spiral/Lissajous --> <path d="M 100 250 Q 160 180 220 250 T 100 320 T 160 390" fill="none" stroke="#38bdf8" stroke-width="3" filter="url(#glow)"/> <circle cx="160" cy="390" r="4" fill="#f8fafc"/> <text x="165" y="405" font-family="serif" font-style="italic" font-size="12" fill="#f8fafc">t</text> <g transform="translate(50, 430)"> <text x="0" y="0" font-family="serif" font-size="14" fill="#f8fafc">x = f(t)</text> <text x="0" y="20" font-family="serif" font-size="14" fill="#f8fafc">y = g(t)</text> <rect x="0" y="40" width="220" height="60" rx="8" fill="#38bdf815"/> <text x="10" y="60" font-family="sans-serif" font-size="11" font-weight="bold" fill="#38bdf8">SECOND DERIVATIVE CAUTION:</text> <text x="10" y="80" font-family="serif" font-size="13" fill="#f8fafc">d²y/dx² = [ (d/dt)(dy/dx) ] / (dx/dt)</text> </g> <!-- Panel 2: Vector (Center) --> <rect x="320" y="110" width="260" height="420" rx="16" fill="#ffffff12" stroke="#ffffff20" stroke-width="1"/> <text x="450" y="145" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="20" fill="#e879f9">VECTOR-VALUED</text> <text x="450" y="165" text-anchor="middle" font-family="sans-serif" font-size="12" fill="#94a3b8">Kinematics &amp; Physics</text> <!-- Vector Illustration: Projectile with Vectors --> <path d="M 360 380 Q 450 180 540 380" fill="none" stroke="#e879f9" stroke-width="2" stroke-dasharray="5 3"/> <!-- Velocity Vector --> <line x1="450" y1="230" x2="510" y2="230" stroke="#f59e0b" stroke-width="3" marker-end="url(#arrowhead)" context-fill="#f59e0b"/> <text x="515" y="225" font-family="serif" font-weight="bold" font-size="14" fill="#f59e0b">v(t)</text> <!-- Acceleration Vector --> <line x1="450" y1="230" x2="450" y2="280" stroke="#38bdf8" stroke-width="3" marker-end="url(#arrowhead)" context-fill="#38bdf8"/> <text x="455" y="295" font-family="serif" font-weight="bold" font-size="14" fill="#38bdf8">a(t)</text> <g transform="translate(340, 430)"> <text x="0" y="0" font-family="serif" font-size="14" fill="#f8fafc">r(t) = ⟨x(t), y(t)⟩</text> <text x="0" y="25" font-family="sans-serif" font-size="12" fill="#94a3b8">Total Distance Traveled:</text> <text x="0" y="45" font-family="serif" font-size="16" fill="#f8fafc">∫ |v(t)| dt</text> <text x="0" y="75" font-family="sans-serif" font-size="11" fill="#e879f9" font-style="italic">Modeling SpaceX Falcon 9 Trajectories</text> </g> <!-- Panel 3: Polar (Right) --> <rect x="610" y="110" width="260" height="420" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="740" y="145" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="20" fill="#f59e0b">POLAR</text> <text x="740" y="165" text-anchor="middle" font-family="sans-serif" font-size="12" fill="#94a3b8">Angular Perspectives</text> <!-- Polar Illustration: Rose Curve --> <g transform="translate(740, 280)"> <circle r="80" fill="none" stroke="#ffffff10" stroke-width="1"/> <circle r="50" fill="none" stroke="#ffffff10" stroke-width="1"/> <line x1="-90" y1="0" x2="90" y2="0" stroke="#ffffff10"/> <line x1="0" y1="-90" x2="0" y2="90" stroke="#ffffff10"/> <!-- Rose Curve: r = cos(2theta) --> <path d="M 70 0 C 70 -50 20 -70 0 0 C -20 -70 -70 -50 -70 0 C -70 50 -20 70 0 0 C 20 70 70 50 70 0" fill="#f59e0b20" stroke="#f59e0b" stroke-width="2" filter="url(#glow)"/> </g> <g transform="translate(630, 430)"> <text x="0" y="0" font-family="serif" font-size="14" fill="#f8fafc">r = f(θ)</text> <text x="0" y="25" font-family="sans-serif" font-size="12" fill="#94a3b8">Area in Polar:</text> <text x="0" y="45" font-family="serif" font-size="16" fill="#f8fafc">A = ½ ∫ [r(θ)]² dθ</text> <text x="0" y="75" font-family="sans-serif" font-size="11" fill="#f59e0b" font-style="italic">Electromagnetic Dipole Patterns</text> </g> <!-- Comparison Footer --> <rect x="30" y="540" width="840" height="20" rx="4" fill="#38bdf820"/> <text x="450" y="554" text-anchor="middle" font-family="sans-serif" font-size="10" font-weight="bold" fill="#38bdf8" letter-spacing="1">TRANSITIONING FROM CARTESIAN: BEYOND THE VERTICAL LINE TEST</text> </svg>Parametric, Polar, and Vector Functions image 1Parametric, Polar, and Vector Functions - AP/College Calculus BC - image 1https://www.getlykke.com/explore/public/apcollege-calculus-bc-f0911bf9-0b0e-4390-9916-edee07cb9049/media/parametric-polar-vector/svg/1Parametric, Polar, and Vector Functions diagram 1Parametric, Polar, and Vector Functions - AP/College Calculus BC - diagram 1https://www.getlykke.com/explore/public/apcollege-calculus-bc-f0911bf9-0b0e-4390-9916-edee07cb9049/media/parametric-polar-vector/svg/2Parametric, Polar, and Vector Functions diagram 2Parametric, Polar, and Vector Functions - AP/College Calculus BC - diagram 2https://www.getlykke.com/explore/public/apcollege-calculus-bc-f0911bf9-0b0e-4390-9916-edee07cb9049/media/infinite-sequences-and-series/svg/1Infinite Sequences and Series diagram 1Infinite Sequences and Series - AP/College Calculus BC - diagram 1https://www.getlykke.com/explore/public/apcollege-calculus-bc-f0911bf9-0b0e-4390-9916-edee07cb9049/media/infinite-sequences-and-series/svg/2Infinite Sequences and Series diagram 2Infinite Sequences and Series - AP/College Calculus BC - diagram 2https://www.getlykke.com/explore/public/apcollege-calculus-bc-f0911bf9-0b0e-4390-9916-edee07cb9049/media/infinite-sequences-and-series/svg/3Infinite Sequences and Series diagram 3Infinite Sequences and Series - AP/College Calculus BC - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10" /> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Header Section --> <text x="450" y="50" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-weight="800" font-size="32" letter-spacing="1">AP CALCULUS BC: FRQ BLUEPRINT</text> <rect x="380" y="65" width="140" height="4" fill="#38bdf8" rx="2"/> <text x="450" y="85" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="14" font-weight="500">THE ULTIMATE CRUCIBLE OF MATHEMATICAL MASTERY</text> <!-- Section 1: The Anatomy (Comparison) --> <g transform="translate(40, 110)"> <rect width="400" height="180" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="20" y="30" fill="#38bdf8" font-family="sans-serif" font-weight="700" font-size="18">SECTION STRUCTURE</text> <!-- Part A --> <rect x="20" y="50" width="170" height="110" rx="12" fill="#38bdf815" stroke="#38bdf840"/> <text x="105" y="75" text-anchor="middle" fill="#38bdf8" font-family="sans-serif" font-weight="700" font-size="16">PART A</text> <text x="105" y="95" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="12">2 Questions | 30 Mins</text> <rect x="55" y="105" width="100" height="20" rx="10" fill="#38bdf8"/> <text x="105" y="119" text-anchor="middle" fill="#0f172a" font-family="sans-serif" font-weight="800" font-size="10">CALC REQUIRED</text> <text x="105" y="140" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10">Modeling &amp; Data Analysis</text> <!-- Part B --> <rect x="210" y="50" width="170" height="110" rx="12" fill="#f59e0b15" stroke="#f59e0b40"/> <text x="295" y="75" text-anchor="middle" fill="#f59e0b" font-family="sans-serif" font-weight="700" font-size="16">PART B</text> <text x="295" y="95" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="12">4 Questions | 60 Mins</text> <rect x="245" y="105" width="100" height="20" rx="10" fill="#f59e0b"/> <text x="295" y="119" text-anchor="middle" fill="#0f172a" font-family="sans-serif" font-weight="800" font-size="10">CALC PROHIBITED</text> <text x="295" y="140" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10">Proofs &amp; Taylor Series</text> </g> <!-- Section 2: The 9-Point Rubric (Process) --> <g transform="translate(460, 110)"> <rect width="400" height="180" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="20" y="30" fill="#e879f9" font-family="sans-serif" font-weight="700" font-size="18">SCORING HEURISTICS</text> <!-- Rubric Steps --> <g transform="translate(20, 50)"> <circle cx="15" cy="10" r="12" fill="#e879f920" stroke="#e879f9" stroke-width="2"/> <text x="15" y="14" text-anchor="middle" fill="#e879f9" font-family="sans-serif" font-weight="800" font-size="12">1</text> <text x="40" y="10" fill="#f8fafc" font-family="sans-serif" font-weight="700" font-size="13">THE SETUP</text> <text x="40" y="25" fill="#94a3b8" font-family="sans-serif" font-size="11">Correct integral or derivative expression.</text> <circle cx="15" cy="50" r="12" fill="#e879f920" stroke="#e879f9" stroke-width="2"/> <text x="15" y="54" text-anchor="middle" fill="#e879f9" font-family="sans-serif" font-weight="800" font-size="12">2</text> <text x="40" y="50" fill="#f8fafc" font-family="sans-serif" font-weight="700" font-size="13">INTERMEDIATE STEPS</text> <text x="40" y="65" fill="#94a3b8" font-family="sans-serif" font-size="11">Application of theorems (MVT, IVT, etc.)</text> <circle cx="15" cy="90" r="12" fill="#e879f920" stroke="#e879f9" stroke-width="2"/> <text x="15" y="94" text-anchor="middle" fill="#e879f9" font-family="sans-serif" font-weight="800" font-size="12">3</text> <text x="40" y="90" fill="#f8fafc" font-family="sans-serif" font-weight="700" font-size="13">THE ANSWER &amp; JUSTIFICATION</text> <text x="40" y="105" fill="#94a3b8" font-family="sans-serif" font-size="11">Numerical value (3 decimals) + Sentence.</text> </g> </g> <!-- The Golden Rule Banner --> <g transform="translate(40, 310)"> <rect width="820" height="40" rx="8" fill="#ef444420" stroke="#ef4444" stroke-width="1"/> <path d="M20 20 L35 20" stroke="#ef4444" stroke-width="3" stroke-linecap="round"/> <text x="410" y="26" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-weight="700" font-size="14"> <tspan fill="#ef4444">THE GOLDEN RULE:</tspan> NO "BALD ANSWERS". NO WORK = NO POINTS. </text> </g> <!-- Section 3: Problem Archetypes (Conceptual Map) --> <g transform="translate(40, 370)"> <text x="0" y="-10" fill="#f8fafc" font-family="sans-serif" font-weight="700" font-size="18">STRATEGIC ARCHETYPES</text> <!-- Rate In/Out --> <rect x="0" y="10" width="195" height="140" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <circle cx="35" cy="45" r="15" fill="#38bdf820" stroke="#38bdf8" stroke-width="1.5"/> <path d="M30 45 L40 45 M35 40 L35 50" stroke="#38bdf8" stroke-width="2"/> <text x="60" y="50" fill="#38bdf8" font-family="sans-serif" font-weight="700" font-size="14">Rate In / Out</text> <text x="20" y="80" fill="#f8fafc" font-family="sans-serif" font-size="11" font-weight="600">Accumulation Formula:</text> <text x="20" y="100" fill="#94a3b8" font-family="serif" font-style="italic" font-size="13">A(t) = A(0) + ∫[R(s)-E(s)]ds</text> <text x="20" y="125" fill="#94a3b8" font-family="sans-serif" font-size="10">Commonly Question 1 or 2.</text> <!-- Particle Motion --> <rect x="208" y="10" width="195" height="140" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <circle cx="243" cy="45" r="15" fill="#e879f920" stroke="#e879f9" stroke-width="1.5"/> <path d="M238 45 L248 45 L245 42 M248 45 L245 48" fill="none" stroke="#e879f9" stroke-width="2"/> <text x="268" y="50" fill="#e879f9" font-family="sans-serif" font-weight="700" font-size="14">Particle Motion</text> <text x="228" y="80" fill="#f8fafc" font-family="sans-serif" font-size="11" font-weight="600">Vector-Valued (BC):</text> <text x="228" y="100" fill="#94a3b8" font-family="serif" font-style="italic" font-size="13">Speed = √[x'(t)² + y'(t)²]</text> <text x="228" y="125" fill="#94a3b8" font-family="sans-serif" font-size="10">Focus on Total Distance.</text> <!-- Area & Volume --> <rect x="416" y="10" width="195" height="140" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <circle cx="451" cy="45" r="15" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1.5"/> <path d="M443 52 Q451 30 459 52" fill="none" stroke="#f59e0b" stroke-width="2"/> <text x="476" y="50" fill="#f59e0b" font-family="sans-serif" font-weight="700" font-size="14">Area &amp; Volume</text> <text x="436" y="80" fill="#f8fafc" font-family="sans-serif" font-size="11" font-weight="600">Polar &amp; Rotational:</text> <text x="436" y="100" fill="#94a3b8" font-family="serif" font-style="italic" font-size="13">Area = ½ ∫ [r(θ)]² dθ</text> <text x="436" y="125" fill="#94a3b8" font-family="sans-serif" font-size="10">Washers vs. Cross-sections.</text> <!-- Taylor Series --> <rect x="625" y="10" width="195" height="140" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <circle cx="660" cy="45" r="15" fill="#10b98120" stroke="#10b981" stroke-width="1.5"/> <text x="655" y="50" fill="#10b981" font-family="serif" font-weight="800" font-size="18">Σ</text> <text x="685" y="50" fill="#10b981" font-family="sans-serif" font-weight="700" font-size="14">Taylor Series</text> <text x="645" y="80" fill="#f8fafc" font-family="sans-serif" font-size="11" font-weight="600">The "Question 6":</text> <text x="645" y="100" fill="#94a3b8" font-family="serif" font-style="italic" font-size="13">fⁿ(c)/n! · (x-c)ⁿ</text> <text x="645" y="125" fill="#94a3b8" font-family="sans-serif" font-size="10">Lagrange Error Bound.</text> </g> <!-- Footer Branding --> <rect x="0" y="535" width="900" height="25" fill="#00000030"/> <text x="450" y="552" text-anchor="middle" fill="#475569" font-family="sans-serif" font-size="10" font-weight="600" letter-spacing="2">AP CALCULUS BC • FREE RESPONSE QUESTION STRATEGY GUIDE • COLLEGE BOARD STANDARDS</text> </svg>AP Exam Preparation (FRQs) image 1AP Exam Preparation (FRQs) - AP/College Calculus BC - image 1https://www.getlykke.com/explore/public/apcollege-calculus-bc-f0911bf9-0b0e-4390-9916-edee07cb9049/media/ap-exam-preparation/svg/1AP Exam Preparation (FRQs) diagram 1AP Exam Preparation (FRQs) - AP/College Calculus BC - diagram 1https://www.getlykke.com/explore/public/apcollege-calculus-bc-f0911bf9-0b0e-4390-9916-edee07cb9049/media/ap-exam-preparation/svg/2AP Exam Preparation (FRQs) diagram 2AP Exam Preparation (FRQs) - AP/College Calculus BC - diagram 2https://www.getlykke.com/explore/public/apcollege-calculus-bc-f0911bf9-0b0e-4390-9916-edee07cb9049/media/ap-exam-preparation/svg/3AP Exam Preparation (FRQs) diagram 3AP Exam Preparation (FRQs) - AP/College Calculus BC - diagram 3https://www.getlykke.com/explore/public/apcollege-calculus-ab-32566f4a-f483-4cb5-98bd-98e5a44b121c2026-04-20T04:58:34.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#818cf8"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <!-- Subtle Grid Pattern --> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">LIMITS &amp; CONTINUITY FOUNDATIONS</text> <path d="M 350 65 L 550 65" stroke="url(#accentGrad)" stroke-width="3" stroke-linecap="round"/> <text x="450" y="85" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" font-style="italic">The transition from static algebra to dynamic calculus</text> <!-- Left Column: The Limit Concept --> <rect x="40" y="110" width="400" height="200" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">1. THE DYNAMIC APPROACH</text> <text x="60" y="165" font-family="sans-serif" font-size="13" fill="#f8fafc">Algebra asks: "What is the value at x?"</text> <text x="60" y="182" font-family="sans-serif" font-size="13" fill="#f8fafc">Calculus asks: "What happens as we get close?"</text> <!-- Limit Visualization --> <g transform="translate(60, 210)"> <path d="M 0 60 L 150 60 M 10 0 L 10 70" stroke="#94a3b8" stroke-width="1" fill="none"/> <path d="M 10 50 Q 60 45, 140 10" stroke="#f59e0b" stroke-width="2" fill="none"/> <circle cx="80" cy="38" r="4" fill="none" stroke="#f59e0b" stroke-width="2"/> <!-- Hole --> <text x="160" y="20" font-family="sans-serif" font-size="12" fill="#f8fafc" font-weight="bold">lim f(x) = L</text> <text x="160" y="35" font-family="sans-serif" font-size="11" fill="#94a3b8">x → c</text> <!-- Arrows --> <path d="M 50 65 L 75 65" stroke="#38bdf8" stroke-width="2" marker-end="url(#arrow)"/> <path d="M 110 65 L 85 65" stroke="#38bdf8" stroke-width="2" marker-end="url(#arrow)"/> <text x="75" y="80" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#38bdf8">x approaches c</text> </g> <!-- Right Column: Continuity Checklist --> <rect x="460" y="110" width="400" height="200" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="480" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">2. CONTINUITY CHECKLIST</text> <g transform="translate(480, 165)"> <circle cx="10" cy="5" r="8" fill="#e879f920" stroke="#e879f9" stroke-width="1"/> <text x="25" y="10" font-family="sans-serif" font-size="13" fill="#f8fafc" font-weight="600">f(c) is Defined</text> <text x="25" y="25" font-family="sans-serif" font-size="11" fill="#94a3b8">The point exists in the domain.</text> <circle cx="10" cy="50" r="8" fill="#e879f920" stroke="#e879f9" stroke-width="1"/> <text x="25" y="55" font-family="sans-serif" font-size="13" fill="#f8fafc" font-weight="600">Limit Exists</text> <text x="25" y="70" font-family="sans-serif" font-size="11" fill="#94a3b8">Left-hand limit = Right-hand limit.</text> <circle cx="10" cy="95" r="8" fill="#e879f920" stroke="#e879f9" stroke-width="1"/> <text x="25" y="100" font-family="sans-serif" font-size="13" fill="#f8fafc" font-weight="600">Limit = Value</text> <text x="25" y="115" font-family="sans-serif" font-size="11" fill="#94a3b8">The "hole" is filled by the actual point.</text> </g> <!-- Bottom Section: Discontinuity Types --> <rect x="40" y="330" width="820" height="190" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="360" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">3. TYPES OF DISCONTINUITY</text> <!-- Discontinuity 1: Removable --> <g transform="translate(80, 380)"> <path d="M 0 80 L 120 80 M 10 10 L 10 90" stroke="#ffffff30" stroke-width="1"/> <path d="M 20 70 Q 60 65, 110 30" stroke="#38bdf8" stroke-width="2" fill="none"/> <circle cx="65" cy="61" r="4" fill="#1e1b4b" stroke="#38bdf8" stroke-width="2"/> <circle cx="65" cy="30" r="3" fill="#38bdf8"/> <text x="60" y="105" text-anchor="middle" font-family="sans-serif" font-size="12" fill="#f8fafc" font-weight="bold">REMOVABLE</text> <text x="60" y="120" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">"The Hole"</text> </g> <!-- Discontinuity 2: Jump --> <g transform="translate(350, 380)"> <path d="M 0 80 L 120 80 M 10 10 L 10 90" stroke="#ffffff30" stroke-width="1"/> <path d="M 20 70 L 60 50" stroke="#e879f9" stroke-width="2" fill="none"/> <path d="M 60 20 L 110 10" stroke="#e879f9" stroke-width="2" fill="none"/> <circle cx="60" cy="50" r="3" fill="#e879f9"/> <circle cx="60" cy="20" r="3" fill="none" stroke="#e879f9" stroke-width="2"/> <text x="60" y="105" text-anchor="middle" font-family="sans-serif" font-size="12" fill="#f8fafc" font-weight="bold">JUMP</text> <text x="60" y="120" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">Piecewise Breaks</text> </g> <!-- Discontinuity 3: Infinite --> <g transform="translate(620, 380)"> <path d="M 0 80 L 120 80 M 10 10 L 10 90" stroke="#ffffff30" stroke-width="1"/> <path d="M 60 10 L 60 90" stroke="#ffffff40" stroke-dasharray="4" stroke-width="1"/> <path d="M 20 75 Q 50 70, 55 10" stroke="#f59e0b" stroke-width="2" fill="none"/> <path d="M 65 90 Q 70 30, 110 25" stroke="#f59e0b" stroke-width="2" fill="none"/> <text x="60" y="105" text-anchor="middle" font-family="sans-serif" font-size="12" fill="#f8fafc" font-weight="bold">INFINITE</text> <text x="60" y="120" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">Vertical Asymptotes</text> </g> <!-- Formal Definition Box (Small Overlay) --> <rect x="600" y="235" width="240" height="60" rx="8" fill="#38bdf815" stroke="#38bdf840"/> <text x="610" y="255" font-family="serif" font-style="italic" font-size="12" fill="#38bdf8">ε-δ Definition</text> <text x="610" y="275" font-family="serif" font-size="11" fill="#f8fafc">|x - c| &lt; δ ⇒ |f(x) - L| &lt; ε</text> <!-- Decorative elements --> <circle cx="850" cy="50" r="30" fill="url(#accentGrad)" opacity="0.1"/> <circle cx="50" cy="510" r="20" fill="#e879f9" opacity="0.1"/> <!-- Marker for arrows --> <defs> <marker id="arrow" markerWidth="10" markerHeight="10" refX="9" refY="3" orientation="auto" markerUnits="strokeWidth"> <path d="M0,0 L0,6 L9,3 z" fill="#38bdf8" /> </marker> </defs> </svg>Limits and Continuity Foundations image 1Limits and Continuity Foundations - AP/College Calculus AB - image 1https://www.getlykke.com/explore/public/apcollege-calculus-ab-32566f4a-f483-4cb5-98bd-98e5a44b121c/media/limits-and-continuity-foundations/svg/1Limits and Continuity Foundations diagram 1Limits and Continuity Foundations - AP/College Calculus AB - diagram 1https://www.getlykke.com/explore/public/apcollege-calculus-ab-32566f4a-f483-4cb5-98bd-98e5a44b121c/media/limits-and-continuity-foundations/svg/2Limits and Continuity Foundations diagram 2Limits and Continuity Foundations - AP/College Calculus AB - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <filter id="shadow" x="-20%" y="-20%" width="140%" height="140%"> <feDropShadow dx="0" dy="4" stdDeviation="8" flood-opacity="0.5"/> </filter> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="450" y="60" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">ESTIMATING LIMITS</text> <text x="450" y="85" text-anchor="middle" font-family="sans-serif" font-weight="400" font-size="16" fill="#94a3b8" letter-spacing="2">NUMERICAL &amp; GRAPHICAL ANALYSIS</text> <rect x="400" y="95" width="100" height="3" rx="1.5" fill="#f59e0b"/> <!-- Left Card: The Concept --> <g transform="translate(40, 120)" filter="url(#shadow)"> <rect width="260" height="400" rx="16" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <circle cx="40" cy="40" r="18" fill="#f59e0b20"/> <path d="M 35 40 L 45 40 M 40 35 L 40 45" stroke="#f59e0b" stroke-width="2" fill="none"/> <text x="70" y="45" font-family="sans-serif" font-weight="700" font-size="18" fill="#f8fafc">THE CONCEPT</text> <text x="25" y="90" font-family="sans-serif" font-size="13" fill="#94a3b8" font-style="italic">"The Journey, Not the Destination"</text> <rect x="25" y="115" width="210" height="80" rx="8" fill="#00000030"/> <text x="130" y="150" text-anchor="middle" font-family="serif" font-size="24" fill="#f8fafc">lim</text> <text x="130" y="165" text-anchor="middle" font-family="serif" font-size="12" fill="#f8fafc">x → a</text> <text x="175" y="155" text-anchor="middle" font-family="serif" font-size="24" fill="#f8fafc">f(x) = L</text> <text x="25" y="225" font-family="sans-serif" font-size="13" fill="#cbd5e1" line-height="1.5"> <tspan x="25" dy="0">• Focuses on the neighborhood</tspan> <tspan x="25" dy="22">• f(a) need not be defined</tspan> <tspan x="25" dy="22">• Approaches from both sides</tspan> <tspan x="25" dy="22">• Describes local behavior</tspan> </text> <path d="M 40 340 Q 130 310 220 340" stroke="#f59e0b" stroke-width="2" fill="none" stroke-dasharray="4 2"/> <circle cx="130" cy="325" r="5" stroke="#f59e0b" stroke-width="2" fill="none"/> <text x="130" y="360" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#94a3b8">Target Value (L)</text> </g> <!-- Middle Card: Numerical --> <g transform="translate(320, 120)" filter="url(#shadow)"> <rect width="260" height="400" rx="16" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <circle cx="40" cy="40" r="18" fill="#38bdf820"/> <rect x="34" y="34" width="12" height="12" stroke="#38bdf8" stroke-width="2" fill="none"/> <text x="70" y="45" font-family="sans-serif" font-weight="700" font-size="18" fill="#f8fafc">NUMERICAL</text> <text x="25" y="85" font-family="sans-serif" font-size="13" fill="#94a3b8">The "Delta-Stepping" Table</text> <!-- Table Mockup --> <g transform="translate(25, 110)"> <rect width="210" height="180" rx="8" fill="#00000030"/> <line x1="105" y1="10" x2="105" y2="170" stroke="#ffffff20" stroke-width="1"/> <line x1="10" y1="40" x2="200" y2="40" stroke="#ffffff20" stroke-width="1"/> <text x="52" y="28" text-anchor="middle" font-family="sans-serif" font-size="12" font-weight="bold" fill="#38bdf8">x</text> <text x="157" y="28" text-anchor="middle" font-family="sans-serif" font-size="12" font-weight="bold" fill="#38bdf8">f(x)</text> <text x="52" y="65" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#f8fafc">0.9</text> <text x="157" y="65" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#f8fafc">1.9000</text> <text x="52" y="90" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#f8fafc">0.99</text> <text x="157" y="90" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#f8fafc">1.9900</text> <text x="52" y="115" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#e879f9" font-weight="bold">1.0</text> <text x="157" y="115" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#e879f9" font-weight="bold">???</text> <text x="52" y="140" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#f8fafc">1.01</text> <text x="157" y="140" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#f8fafc">2.0100</text> <text x="52" y="165" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#f8fafc">1.1</text> <text x="157" y="165" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#f8fafc">2.1000</text> </g> <text x="25" y="320" font-family="sans-serif" font-size="12" fill="#cbd5e1" line-height="1.4"> <tspan x="25" dy="0">Step 1: Choose values closer to 'a'</tspan> <tspan x="25" dy="20">Step 2: Evaluate from Left &amp; Right</tspan> <tspan x="25" dy="20">Step 3: Check if values converge</tspan> </text> <path d="M 110 375 L 150 375" stroke="#38bdf8" stroke-width="2" fill="none" marker-end="url(#arrow)"/> <text x="130" y="392" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#38bdf8">CONVERGENCE</text> </g> <!-- Right Card: Graphical --> <g transform="translate(600, 120)" filter="url(#shadow)"> <rect width="260" height="400" rx="16" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <circle cx="40" cy="40" r="18" fill="#e879f920"/> <path d="M 32 45 L 40 35 L 48 45" stroke="#e879f9" stroke-width="2" fill="none"/> <text x="70" y="45" font-family="sans-serif" font-weight="700" font-size="18" fill="#f8fafc">GRAPHICAL</text> <text x="25" y="85" font-family="sans-serif" font-size="13" fill="#94a3b8">Visualizing Discontinuities</text> <!-- Graph Mockup --> <g transform="translate(30, 110)"> <rect width="200" height="150" rx="4" fill="#00000030"/> <!-- Axes --> <line x1="20" y1="130" x2="180" y2="130" stroke="#ffffff40" stroke-width="1"/> <line x1="30" y1="20" x2="30" y2="140" stroke="#ffffff40" stroke-width="1"/> <!-- Function Curve --> <path d="M 40 110 Q 100 80 160 30" stroke="#e879f9" stroke-width="3" fill="none"/> <!-- Hole --> <circle cx="100" cy="80" r="5" fill="#1e1b4b" stroke="#e879f9" stroke-width="2"/> <!-- Approach Arrows --> <path d="M 70 100 L 90 88" stroke="#38bdf8" stroke-width="2" fill="none" marker-end="url(#arrowhead)"/> <path d="M 130 60 L 110 72" stroke="#38bdf8" stroke-width="2" fill="none" marker-end="url(#arrowhead)"/> <text x="100" y="145" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">x = a</text> <text x="15" y="80" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8" transform="rotate(-90, 15, 80)">L</text> </g> <g transform="translate(25, 280)"> <rect x="0" y="0" width="10" height="10" rx="2" fill="#e879f9"/> <text x="20" y="10" font-family="sans-serif" font-size="12" fill="#cbd5e1">Holes (Removable)</text> <rect x="0" y="25" width="10" height="10" rx="2" fill="#f59e0b"/> <text x="20" y="35" font-family="sans-serif" font-size="12" fill="#cbd5e1">Jumps (DNE)</text> <rect x="0" y="50" width="10" height="10" rx="2" fill="#38bdf8"/> <text x="20" y="60" font-family="sans-serif" font-size="12" fill="#cbd5e1">Asymptotes (Infinite)</text> </g> <text x="25" y="375" font-family="sans-serif" font-size="11" fill="#94a3b8" font-style="italic"> "Trace the path from both sides. If they meet at the same height, the limit exists." </text> </g> <!-- Markers --> <defs> <marker id="arrowhead" markerWidth="10" markerHeight="7" refX="0" refY="3.5" orient="auto"> <polygon points="0 0, 10 3.5, 0 7" fill="#38bdf8" /> </marker> </defs> <!-- Footer Info --> <rect x="40" y="535" width="820" height="1" fill="#ffffff15"/> <text x="450" y="552" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#64748b" letter-spacing="1">CALCULUS FUNDAMENTALS • SECTION 1.2 • WIKI ILLUSTRATED SERIES</text> </svg>Estimating Limits Numerically and Graphically image 1Estimating Limits Numerically and Graphically - AP/College Calculus AB - image 1https://www.getlykke.com/explore/public/apcollege-calculus-ab-32566f4a-f483-4cb5-98bd-98e5a44b121c/media/estimating-limits/svg/1Estimating Limits Numerically and Graphically diagram 1Estimating Limits Numerically and Graphically - AP/College Calculus AB - diagram 1https://www.getlykke.com/explore/public/apcollege-calculus-ab-32566f4a-f483-4cb5-98bd-98e5a44b121c/media/estimating-limits/svg/2Estimating Limits Numerically and Graphically diagram 2Estimating Limits Numerically and Graphically - AP/College Calculus AB - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="cardGrad" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#ffffff15"/> <stop offset="100%" stop-color="#ffffff05"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Subtle Grid Lines --> <path d="M 0 100 L 900 100 M 0 480 L 900 480" stroke="#ffffff10" stroke-width="1"/> <!-- Header Section --> <text x="450" y="55" text-anchor="middle" fill="#f8fafc" font-family="system-ui, sans-serif" font-size="34" font-weight="800" letter-spacing="1">DIFFERENTIATION</text> <text x="450" y="82" text-anchor="middle" fill="#38bdf8" font-family="system-ui, sans-serif" font-size="16" font-weight="500" letter-spacing="3">DEFINITION &amp; FUNDAMENTAL RULES</text> <!-- Card 1: The Limit Definition --> <rect x="40" y="120" width="260" height="340" rx="16" fill="url(#cardGrad)" stroke="#ffffff20"/> <text x="60" y="150" fill="#f59e0b" font-family="system-ui, sans-serif" font-size="14" font-weight="bold">01. THE FORMAL LIMIT</text> <!-- Graph Illustration --> <path d="M 70 260 Q 130 180 250 220" fill="none" stroke="#94a3b8" stroke-width="2" stroke-dasharray="4"/> <circle cx="110" cy="215" r="4" fill="#e879f9"/> <circle cx="180" cy="205" r="4" fill="#38bdf8"/> <line x1="80" y1="220" x2="230" y2="200" stroke="#f8fafc" stroke-width="1.5" filter="url(#glow)"/> <text x="110" y="280" fill="#94a3b8" font-family="serif" font-size="12" font-style="italic">h → 0</text> <text x="60" y="330" fill="#f8fafc" font-family="serif" font-size="18">f'(x) = lim [f(x+h) - f(x)] / h</text> <text x="60" y="360" fill="#94a3b8" font-family="system-ui, sans-serif" font-size="12" width="220"> <tspan x="60" dy="1.2em">The derivative captures the</tspan> <tspan x="60" dy="1.2em">instantaneous rate of change</tspan> <tspan x="60" dy="1.2em">as the interval h vanishes.</tspan> </text> <!-- Card 2: Physical Interpretation --> <rect x="320" y="120" width="260" height="340" rx="16" fill="url(#cardGrad)" stroke="#ffffff20"/> <text x="340" y="150" fill="#38bdf8" font-family="system-ui, sans-serif" font-size="14" font-weight="bold">02. DYNAMICS &amp; MOTION</text> <!-- Motion Icons --> <g transform="translate(340, 180)"> <rect width="220" height="40" rx="8" fill="#ffffff10"/> <text x="10" y="25" fill="#f8fafc" font-family="system-ui, sans-serif" font-size="12">Position: s(t)</text> <path d="M 180 20 L 200 20" stroke="#38bdf8" stroke-width="2" marker-end="url(#arrow)"/> <rect y="50" width="220" height="40" rx="8" fill="#ffffff10"/> <text x="10" y="75" fill="#f8fafc" font-family="system-ui, sans-serif" font-size="12">Velocity: v(t) = s'(t)</text> <rect y="100" width="220" height="40" rx="8" fill="#ffffff10"/> <text x="10" y="125" fill="#f8fafc" font-family="system-ui, sans-serif" font-size="12">Accel: a(t) = v'(t)</text> </g> <text x="340" y="360" fill="#94a3b8" font-family="system-ui, sans-serif" font-size="12"> <tspan x="340" dy="1.2em">Calculus bridges the gap</tspan> <tspan x="340" dy="1.2em">between static algebra and</tspan> <tspan x="340" dy="1.2em">the physics of moving bodies.</tspan> </text> <!-- Card 3: The Power Rule --> <rect x="600" y="120" width="260" height="340" rx="16" fill="url(#cardGrad)" stroke="#ffffff20"/> <text x="620" y="150" fill="#e879f9" font-family="system-ui, sans-serif" font-size="14" font-weight="bold">03. THE POWER RULE</text> <g transform="translate(620, 180)"> <rect width="220" height="80" rx="12" fill="#e879f920" stroke="#e879f940"/> <text x="110" y="48" text-anchor="middle" fill="#f8fafc" font-family="serif" font-size="24" font-weight="bold">d/dx [xⁿ] = nxⁿ⁻¹</text> </g> <g transform="translate(620, 280)" font-family="monospace" font-size="13"> <text x="0" y="20" fill="#38bdf8">f(x) = x³</text> <text x="120" y="20" fill="#94a3b8">→ 3x²</text> <text x="0" y="45" fill="#38bdf8">f(x) = √x</text> <text x="120" y="45" fill="#94a3b8">→ ½x⁻½</text> <text x="0" y="70" fill="#38bdf8">f(x) = 1/x</text> <text x="120" y="70" fill="#94a3b8">→ -x⁻²</text> </g> <!-- Footer / Continuity Note --> <rect x="40" y="485" width="820" height="50" rx="12" fill="#ffffff05"/> <circle cx="65" cy="510" r="6" fill="#ef4444"/> <text x="85" y="515" fill="#94a3b8" font-family="system-ui, sans-serif" font-size="13"> <tspan fill="#f8fafc" font-weight="bold">CRITICAL NOTE:</tspan> Differentiability requires continuity, but continuity does not guarantee differentiability (e.g., sharp corners). </text> <!-- Decorative Accents --> <circle cx="850" cy="50" r="30" fill="none" stroke="#38bdf8" stroke-width="0.5" stroke-dasharray="2 2"/> <path d="M 40 40 L 60 40 M 40 40 L 40 60" stroke="#f59e0b" stroke-width="2"/> </svg>Differentiation: Definition and Fundamental Rules image 1Differentiation: Definition and Fundamental Rules - AP/College Calculus AB - image 1https://www.getlykke.com/explore/public/apcollege-calculus-ab-32566f4a-f483-4cb5-98bd-98e5a44b121c/media/differentiation-foundations/svg/1Differentiation: Definition and Fundamental Rules diagram 1Differentiation: Definition and Fundamental Rules - AP/College Calculus AB - diagram 1https://www.getlykke.com/explore/public/apcollege-calculus-ab-32566f4a-f483-4cb5-98bd-98e5a44b121c/media/differentiation-foundations/svg/2Differentiation: Definition and Fundamental Rules diagram 2Differentiation: Definition and Fundamental Rules - AP/College Calculus AB - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Decorative Elements --> <circle cx="850" cy="50" r="100" fill="#38bdf8" fill-opacity="0.05"/> <circle cx="50" cy="510" r="80" fill="#e879f9" fill-opacity="0.05"/> <!-- Header Section --> <text x="450" y="60" text-anchor="middle" font-family="sans-serif" font-size="32" font-weight="bold" fill="#f8fafc" letter-spacing="1">ADVANCED DIFFERENTIATION</text> <text x="450" y="85" text-anchor="middle" font-family="sans-serif" font-size="16" fill="#94a3b8" font-weight="300">NAVIGATING NESTED SYSTEMS &amp; INTERTWINED VARIABLES</text> <rect x="400" y="100" width="100" height="3" rx="1.5" fill="#f59e0b"/> <!-- Left Panel: Chain Rule --> <rect x="40" y="130" width="400" height="310" rx="16" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <text x="70" y="170" font-family="sans-serif" font-size="20" font-weight="bold" fill="#38bdf8">The Chain Rule</text> <text x="70" y="192" font-family="sans-serif" font-size="13" fill="#94a3b8">The Calculus of Nested Systems</text> <!-- Chain Rule Visual: Nested Circles --> <circle cx="110" cy="260" r="35" fill="none" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 2"/> <circle cx="110" cy="260" r="20" fill="#38bdf8" fill-opacity="0.2" stroke="#38bdf8" stroke-width="2"/> <text x="160" y="255" font-family="serif" font-style="italic" font-size="18" fill="#f8fafc">f ( g ( x ) )</text> <path d="M 160 265 L 240 265" stroke="#94a3b8" stroke-width="1" marker-end="url(#arrow)"/> <!-- Notation Cards --> <rect x="70" y="315" width="340" height="45" rx="8" fill="#00000030"/> <text x="85" y="343" font-family="serif" font-size="15" fill="#f8fafc">Lagrange: h'(x) = f'(g(x)) · g'(x)</text> <rect x="70" y="370" width="340" height="45" rx="8" fill="#00000030"/> <text x="85" y="398" font-family="serif" font-size="15" fill="#f8fafc">Leibniz: dy/dx = (dy/du) · (du/dx)</text> <!-- Right Panel: Implicit Differentiation --> <rect x="460" y="130" width="400" height="310" rx="16" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <text x="490" y="170" font-family="sans-serif" font-size="20" font-weight="bold" fill="#f59e0b">Implicit Differentiation</text> <text x="490" y="192" font-family="sans-serif" font-size="13" fill="#94a3b8">The Calculus of Intertwined Relations</text> <!-- Implicit Visual: Interlocking Rings --> <circle cx="530" cy="260" r="25" fill="none" stroke="#f59e0b" stroke-width="3"/> <circle cx="555" cy="260" r="25" fill="none" stroke="#e879f9" stroke-width="3"/> <text x="600" y="255" font-family="serif" font-style="italic" font-size="18" fill="#f8fafc">x² + y² = r²</text> <text x="600" y="275" font-family="sans-serif" font-size="11" fill="#94a3b8">y is hidden within the structure</text> <!-- Process Steps --> <g font-family="sans-serif" font-size="12" fill="#f8fafc"> <circle cx="500" cy="330" r="10" fill="#f59e0b"/> <text x="497" y="334" font-size="10" font-weight="bold">1</text> <text x="520" y="335">Differentiate both sides w.r.t. x</text> <circle cx="500" cy="360" r="10" fill="#f59e0b"/> <text x="497" y="364" font-size="10" font-weight="bold">2</text> <text x="520" y="365">Apply Chain Rule to all 'y' terms</text> <circle cx="500" cy="390" r="10" fill="#f59e0b"/> <text x="497" y="394" font-size="10" font-weight="bold">3</text> <text x="520" y="395">Isolate dy/dx algebraically</text> </g> <!-- Bottom Section: Applications --> <rect x="40" y="460" width="820" height="70" rx="16" fill="#ffffff05" stroke="#ffffff10" stroke-width="1"/> <text x="60" y="485" font-family="sans-serif" font-size="14" font-weight="bold" fill="#94a3b8" text-transform="uppercase">Real-World Applications</text> <g transform="translate(60, 505)"> <rect width="240" height="12" rx="6" fill="#38bdf820"/> <circle cx="6" cy="6" r="4" fill="#38bdf8"/> <text x="20" y="10" font-family="sans-serif" font-size="11" fill="#f8fafc">Neural Networks (Backpropagation)</text> <rect x="260" width="240" height="12" rx="6" fill="#e879f920"/> <circle cx="266" cy="6" r="4" fill="#e879f9"/> <text x="280" y="10" font-family="sans-serif" font-size="11" fill="#f8fafc">Orbital Mechanics &amp; Aerospace</text> <rect x="520" width="240" height="12" rx="6" fill="#f59e0b20"/> <circle cx="526" cy="6" r="4" fill="#f59e0b"/> <text x="540" y="10" font-family="sans-serif" font-size="11" fill="#f8fafc">Sensitivity in Financial Derivatives</text> </g> <!-- Decorative Accents --> <path d="M 450 130 L 450 440" stroke="#ffffff10" stroke-width="1" stroke-dasharray="5 5"/> <circle cx="450" cy="285" r="4" fill="#f59e0b" filter="glow"/> </svg>Advanced Differentiation: Chain Rule and Implicit Differentiation image 1Advanced Differentiation: Chain Rule and Implicit Differentiation - AP/College Calculus AB - image 1https://www.getlykke.com/explore/public/apcollege-calculus-ab-32566f4a-f483-4cb5-98bd-98e5a44b121c/media/advanced-differentiation/svg/1Advanced Differentiation: Chain Rule and Implicit Differentiation diagram 1Advanced Differentiation: Chain Rule and Implicit Differentiation - AP/College Calculus AB - diagram 1https://www.getlykke.com/explore/public/apcollege-calculus-ab-32566f4a-f483-4cb5-98bd-98e5a44b121c/media/advanced-differentiation/svg/2Advanced Differentiation: Chain Rule and Implicit Differentiation diagram 2Advanced Differentiation: Chain Rule and Implicit Differentiation - AP/College Calculus AB - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="450" y="60" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-weight="800" font-size="32" letter-spacing="1">CONTEXTUAL APPLICATIONS OF DIFFERENTIATION</text> <text x="450" y="85" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="16" font-weight="300">The Bridge from Theoretical Mechanics to Dynamic Reality</text> <line x1="300" y1="105" x2="600" y2="105" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 4" opacity="0.5"/> <!-- Card 1: Kinematics --> <rect x="40" y="130" width="400" height="185" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="160" fill="#38bdf8" font-family="sans-serif" font-weight="700" font-size="18">1. STRAIGHT-LINE MOTION</text> <text x="60" y="180" fill="#94a3b8" font-family="sans-serif" font-size="12">The Kinematic Hierarchy (Rectilinear Motion)</text> <!-- Kinematics Illustration --> <line x1="70" y1="230" x2="380" y2="230" stroke="#475569" stroke-width="2"/> <circle cx="220" cy="230" r="6" fill="#38bdf8" filter="url(#glow)"/> <path d="M 226 230 L 300 230" stroke="#38bdf8" stroke-width="3" marker-end="url(#arrow-blue)"/> <text x="70" y="220" fill="#f8fafc" font-family="monospace" font-size="11">s(t)</text> <text x="250" y="220" fill="#38bdf8" font-family="monospace" font-size="11">v(t) = s'(t)</text> <text x="250" y="250" fill="#e879f9" font-family="monospace" font-size="11">a(t) = v'(t)</text> <text x="60" y="285" fill="#f8fafc" font-family="sans-serif" font-size="11" opacity="0.8"> <tspan x="60" dy="0">• v(t) &gt; 0: Moving Right</tspan> <tspan x="200" dy="0">• v(t) &amp; a(t) same sign: Speeding Up</tspan> </text> <!-- Card 2: Related Rates --> <rect x="460" y="130" width="400" height="185" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="480" y="160" fill="#f59e0b" font-family="sans-serif" font-weight="700" font-size="18">2. 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Applications of Differentiation - AP/College Calculus AB - diagram 1https://www.getlykke.com/explore/public/apcollege-calculus-ab-32566f4a-f483-4cb5-98bd-98e5a44b121c/media/contextual-applications-differentiation/svg/2Contextual Applications of Differentiation diagram 2Contextual Applications of Differentiation - AP/College Calculus AB - diagram 2https://www.getlykke.com/explore/public/apcollege-calculus-ab-32566f4a-f483-4cb5-98bd-98e5a44b121c/media/analytical-applications-differentiation/svg/1Analytical Applications of Differentiation diagram 1Analytical Applications of Differentiation - AP/College Calculus AB - diagram 1https://www.getlykke.com/explore/public/apcollege-calculus-ab-32566f4a-f483-4cb5-98bd-98e5a44b121c/media/analytical-applications-differentiation/svg/2Analytical Applications of Differentiation diagram 2Analytical Applications of Differentiation - AP/College Calculus AB - diagram 2https://www.getlykke.com/explore/public/apcollege-calculus-ab-32566f4a-f483-4cb5-98bd-98e5a44b121c/media/analytical-applications-differentiation/svg/3Analytical Applications of Differentiation diagram 3Analytical Applications of Differentiation - AP/College Calculus AB - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bgGradient" x1="0%" y1="0%" x2="0%" y2="100%"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> <pattern id="dotPattern" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10" /> </pattern> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bgGradient)"/> <rect width="900" height="560" fill="url(#dotPattern)"/> <!-- Header Section --> <text x="450" y="50" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-weight="800" font-size="32" letter-spacing="1">INTEGRATION &amp; ACCUMULATION</text> <text x="450" y="75" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="14" font-weight="400">THE MATHEMATICAL ENGINE OF GLOBAL CHANGE</text> <line x1="350" y1="85" x2="550" y2="85" stroke="#38bdf8" stroke-width="2" stroke-linecap="round" opacity="0.6"/> <!-- Left Card: The Concept --> <rect x="40" y="110" width="260" height="220" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="140" fill="#38bdf8" font-family="sans-serif" font-weight="700" font-size="18">THE PERSPECTIVE</text> <text x="60" y="165" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="600">Local vs. Global</text> <!-- Mini Diagram: Derivative vs Integral --> <path d="M 70 260 Q 120 180 200 250" fill="none" stroke="#94a3b8" stroke-width="2"/> <!-- Shaded Area --> <path d="M 100 220 Q 120 180 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stroke="#e879f9"/> <text x="110" y="25" fill="#f8fafc" font-family="sans-serif" font-size="12" font-weight="600">MIDPOINT</text> <text x="110" y="40" fill="#94a3b8" font-family="sans-serif" font-size="10">Center Sample</text> </g> <text x="450" y="500" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="11" font-style="italic">As n → ∞, Sum → Integral</text> <!-- Right Card: Physics & Definition --> <rect x="600" y="110" width="260" height="220" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="620" y="140" fill="#e879f9" font-family="sans-serif" font-weight="700" font-size="18">PHYSICS BRIDGE</text> <!-- Velocity Graph --> <g transform="translate(630, 160)"> <line x1="0" y1="80" x2="100" y2="80" stroke="#94a3b8" stroke-width="1"/> <line x1="0" y1="0" x2="0" y2="80" stroke="#94a3b8" stroke-width="1"/> <path d="M 0 60 C 20 20, 60 10, 100 40" fill="none" stroke="#e879f9" stroke-width="2"/> <path d="M 20 45 C 40 20, 60 15, 80 30 L 80 80 L 20 80 Z" fill="#e879f930"/> <text x="105" y="85" fill="#94a3b8" font-family="sans-serif" font-size="10">t</text> <text x="-15" y="10" fill="#94a3b8" font-family="sans-serif" font-size="10">v(t)</text> <text x="50" y="65" fill="#f8fafc" font-family="sans-serif" font-size="12" font-weight="700" text-anchor="middle">Δ Displacement</text> </g> <text x="620" y="270" fill="#94a3b8" font-family="sans-serif" font-size="11"> <tspan x="620" dy="1.2em">The area under a velocity-time</tspan> <tspan x="620" dy="1.2em">graph represents the total change</tspan> <tspan x="620" dy="1.2em">in position (displacement).</tspan> </text> <!-- Bottom Formula Card --> <rect x="40" y="350" width="260" height="170" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="385" fill="#4ade80" font-family="sans-serif" font-weight="700" font-size="18">THE DEFINITION</text> <!-- Integral Symbol Graphic --> <text x="60" y="440" fill="#f8fafc" font-family="serif" font-size="40" font-style="italic">∫</text> <text x="75" y="415" fill="#f8fafc" font-family="serif" font-size="14">b</text> <text x="70" y="455" fill="#f8fafc" font-family="serif" font-size="14">a</text> <text x="95" y="440" fill="#f8fafc" font-family="serif" font-size="24">f(x) dx</text> <text x="60" y="485" fill="#94a3b8" font-family="sans-serif" font-size="11"> <tspan x="60" dy="1.2em">The limit of the Riemann sum</tspan> <tspan x="60" dy="1.2em">as the width of subintervals</tspan> <tspan x="60" dy="1.2em">approaches zero.</tspan> </text> <!-- Decorative Accents --> <circle cx="850" cy="50" r="30" fill="#38bdf8" opacity="0.1"/> <circle cx="50" cy="510" r="40" fill="#f59e0b" opacity="0.05"/> <path d="M 800 450 L 840 490 M 840 450 L 800 490" stroke="#ffffff10" stroke-width="4"/> <!-- Properties Box (Bottom Right) --> <rect x="600" y="350" width="260" height="170" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="620" y="380" fill="#94a3b8" font-family="sans-serif" font-weight="700" font-size="14">KEY PROPERTIES</text> <g font-family="sans-serif" font-size="11" fill="#f8fafc"> <text x="620" y="410">Additivity: ∫[a,b] + ∫[b,c] = ∫[a,c]</text> <text x="620" y="435">Linearity: ∫(kf + g) = k∫f + ∫g</text> <text x="620" y="460">Reversal: ∫[a,b] = -∫[b,a]</text> <text x="620" y="485">Zero Width: ∫[a,a] = 0</text> </g> </svg>Integration and Accumulation of Change image 1Integration and Accumulation of Change - AP/College Calculus AB - image 1https://www.getlykke.com/explore/public/apcollege-calculus-ab-32566f4a-f483-4cb5-98bd-98e5a44b121c/media/integration-accumulation/svg/1Integration and Accumulation of Change diagram 1Integration and Accumulation of Change - AP/College Calculus AB - diagram 1https://www.getlykke.com/explore/public/apcollege-calculus-ab-32566f4a-f483-4cb5-98bd-98e5a44b121c/media/integration-accumulation/svg/2Integration and Accumulation of Change diagram 2Integration and Accumulation of Change - AP/College Calculus AB - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> <pattern id="dotPattern" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10" /> </pattern> </defs> <!-- Background and Texture --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dotPattern)"/> <!-- Subtle Grid Lines --> <g stroke="#ffffff08" stroke-width="1"> <line x1="0" y1="80" x2="900" y2="80" /> <line x1="0" y1="480" x2="900" y2="480" /> </g> <!-- Header Section --> <text x="40" y="50" font-family="Arial, sans-serif" font-weight="800" font-size="32" fill="#f8fafc">DIFFERENTIAL EQUATIONS &amp; MODELING</text> <text x="40" y="72" font-family="Arial, sans-serif" font-size="14" fill="#94a3b8" letter-spacing="1">MAPPING THE MATHEMATICS OF CHANGE</text> <rect x="740" y="35" width="120" height="24" rx="12" fill="#38bdf820" stroke="#38bdf8" stroke-width="1"/> <text x="800" y="51" font-family="Arial, sans-serif" font-size="11" font-weight="bold" fill="#38bdf8" text-anchor="middle">CALCULUS II / III</text> <!-- Left Panel: Slope Fields (Visual Analysis) --> <rect x="40" y="110" width="260" height="340" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="140" font-family="Arial, sans-serif" font-size="18" font-weight="bold" fill="#38bdf8">Visualizing the Flow</text> <text x="60" y="160" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">Slope Fields: dy/dx = f(x,y)</text> <!-- Slope Field Illustration --> <g transform="translate(70, 180)"> <rect width="200" height="150" fill="#00000030" rx="8"/> <!-- Grid of slope segments --> <g stroke="#38bdf8" stroke-width="2" stroke-linecap="round"> <!-- Row 1 --> <line x1="20" 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sans-serif" font-size="12" fill="#f8fafc" width="220"> <tspan x="60" dy="1.2em">Qualitative analysis allows us to</tspan> <tspan x="60" dy="1.2em">see solution behavior without</tspan> <tspan x="60" dy="1.2em">solving the equation algebraically.</tspan> </text> <!-- Center Panel: The Anatomy (Definitions) --> <rect x="320" y="110" width="260" height="340" rx="16" fill="#ffffff10" stroke="#ffffff20"/> <text x="340" y="140" font-family="Arial, sans-serif" font-size="18" font-weight="bold" fill="#f59e0b">The Anatomy</text> <g transform="translate(340, 165)"> <rect width="220" height="60" rx="8" fill="#f59e0b15"/> <text x="10" y="25" font-family="Arial, sans-serif" font-size="13" font-weight="bold" fill="#f59e0b">General Solution</text> <text x="10" y="45" font-family="serif" font-size="14" fill="#f8fafc">y = f(x) + C</text> <text x="210" y="45" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8" text-anchor="end">Family of Curves</text> </g> <g transform="translate(340, 235)"> <rect width="220" height="60" rx="8" fill="#e879f915"/> <text x="10" y="25" font-family="Arial, sans-serif" font-size="13" font-weight="bold" fill="#e879f9">Initial Condition</text> <text x="10" y="45" font-family="serif" font-size="14" fill="#f8fafc">y(x₀) = y₀</text> <text x="210" y="45" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8" text-anchor="end">Specific Point</text> </g> <g transform="translate(340, 305)"> <rect width="220" height="60" rx="8" fill="#38bdf815"/> <text x="10" y="25" font-family="Arial, sans-serif" font-size="13" font-weight="bold" fill="#38bdf8">Particular Solution</text> <text x="10" y="45" font-family="serif" font-size="14" fill="#f8fafc">y = f(x) + 5</text> <text x="210" y="45" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8" text-anchor="end">Unique Curve</text> </g> <text x="450" y="410" font-family="Arial, sans-serif" font-size="11" font-style="italic" fill="#94a3b8" text-anchor="middle">"Nature is written in the language of</text> <text x="450" y="425" font-family="Arial, sans-serif" font-size="11" font-style="italic" fill="#94a3b8" text-anchor="middle">Differential Equations."</text> <!-- Right Panel: Separation of Variables (Process) --> <rect x="600" y="110" width="260" height="340" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="620" y="140" font-family="Arial, sans-serif" font-size="18" font-weight="bold" fill="#e879f9">Analytical Engine</text> <text x="620" y="160" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">Method: Separation of Variables</text> <g transform="translate(620, 185)"> <circle cx="12" cy="12" r="12" fill="#e879f9"/> <text x="12" y="16" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#0f172a" text-anchor="middle">1</text> <text x="35" y="16" font-family="Arial, sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">SEPARATE</text> <text x="35" y="32" font-family="serif" font-size="12" fill="#94a3b8">g(y) dy = h(x) dx</text> <g transform="translate(0, 50)"> <circle cx="12" cy="12" r="12" fill="#e879f9"/> <text x="12" y="16" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#0f172a" text-anchor="middle">2</text> <text x="35" y="16" font-family="Arial, sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">INTEGRATE</text> <text x="35" y="32" font-family="serif" font-size="12" fill="#94a3b8">∫ g(y) dy = ∫ h(x) dx</text> </g> <g transform="translate(0, 100)"> <circle cx="12" cy="12" r="12" fill="#e879f9"/> <text x="12" y="16" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#0f172a" text-anchor="middle">3</text> <text x="35" y="16" font-family="Arial, sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">SOLVE FOR Y</text> <text x="35" y="32" font-family="serif" font-size="12" fill="#94a3b8">Isolate the dependent variable</text> </g> <g transform="translate(0, 150)"> <circle cx="12" cy="12" r="12" fill="#e879f9"/> <text x="12" y="16" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#0f172a" text-anchor="middle">4</text> <text x="35" y="16" font-family="Arial, sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">APPLY C</text> <text x="35" y="32" font-family="serif" font-size="12" fill="#94a3b8">Use initial condition for C</text> </g> </g> <!-- Bottom Comparison: General vs Particular Curves --> <g transform="translate(40, 470)"> <text x="0" y="20" font-family="Arial, sans-serif" font-size="16" font-weight="bold" fill="#f8fafc">The Solution Spectrum</text> <line x1="0" y1="30" x2="820" y2="30" stroke="#ffffff15" stroke-width="1"/> <!-- Family of curves visualization --> <g transform="translate(600, -10)"> <path d="M 0,40 Q 50,0 100,40" fill="none" stroke="#94a3b8" stroke-width="1" opacity="0.3"/> <path d="M 0,50 Q 50,10 100,50" fill="none" stroke="#94a3b8" stroke-width="1" opacity="0.3"/> <path d="M 0,60 Q 50,20 100,60" fill="none" stroke="#f59e0b" stroke-width="3" filter="url(#glow)"/> <path d="M 0,70 Q 50,30 100,70" fill="none" stroke="#94a3b8" stroke-width="1" opacity="0.3"/> <circle cx="50" cy="20" r="4" fill="#f59e0b"/> <text x="110" y="45" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8">General (Family)</text> <text x="110" y="25" font-family="Arial, sans-serif" font-size="10" fill="#f59e0b" font-weight="bold">Particular (Unique)</text> </g> <text x="0" y="55" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8"> The Existence and Uniqueness Theorem guarantees a single path through any given point in a continuous field. </text> </g> <!-- Decorative Corner Elements --> <path d="M 860 520 L 880 520 L 880 540" fill="none" stroke="#38bdf8" stroke-width="2"/> <path d="M 40 520 L 20 520 L 20 540" fill="none" stroke="#38bdf8" stroke-width="2"/> </svg>Differential Equations and Modeling image 1Differential Equations and Modeling - AP/College Calculus AB - image 1https://www.getlykke.com/explore/public/apcollege-calculus-ab-32566f4a-f483-4cb5-98bd-98e5a44b121c/media/differential-equations/svg/1Differential Equations and Modeling diagram 1Differential Equations and Modeling - AP/College Calculus AB - diagram 1https://www.getlykke.com/explore/public/apcollege-calculus-ab-32566f4a-f483-4cb5-98bd-98e5a44b121c/media/differential-equations/svg/2Differential Equations and Modeling diagram 2Differential Equations and Modeling - AP/College Calculus AB - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <!-- Decorative Grid --> <g stroke="#ffffff08" stroke-width="1"> <path d="M 0 40 H 900 M 0 80 H 900 M 0 120 H 900 M 0 160 H 900 M 0 200 H 900 M 0 240 H 900 M 0 280 H 900 M 0 320 H 900 M 0 360 H 900 M 0 400 H 900 M 0 440 H 900 M 0 480 H 900 M 0 520 H 900"/> <path d="M 40 0 V 560 M 80 0 V 560 M 120 0 V 560 M 160 0 V 560 M 200 0 V 560 M 240 0 V 560 M 280 0 V 560 M 320 0 V 560 M 360 0 V 560 M 400 0 V 560 M 440 0 V 560 M 480 0 V 560 M 520 0 V 560 M 560 0 V 560 M 600 0 V 560 M 640 0 V 560 M 680 0 V 560 M 720 0 V 560 M 760 0 V 560 M 800 0 V 560 M 840 0 V 560"/> </g> <!-- Header Section --> <text x="40" y="50" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="-1">APPLICATIONS OF INTEGRATION</text> <text x="40" y="72" font-family="sans-serif" font-size="14" fill="#94a3b8" font-weight="400">THE CALCULUS OF ACCUMULATION: FROM 1D RATES TO 3D VOLUMES</text> <rect x="520" y="35" width="340" height="2" fill="url(#accentGrad)"/> <!-- Card 1: Net Change --> <rect x="40" y="100" width="400" height="200" rx="16" fill="#ffffff0d" stroke="#ffffff1a"/> <text x="60" y="130" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">01. Net Change &amp; Physics</text> <text x="60" y="150" font-family="sans-serif" font-size="12" fill="#94a3b8">Integrating rates of change to find total accumulation.</text> <!-- Net Change Illustration --> <g transform="translate(60, 170)"> <path d="M 0 80 H 180" stroke="#ffffff40" stroke-width="1"/> <path d="M 0 80 Q 45 10, 90 80 T 180 80" fill="none" stroke="#e879f9" stroke-width="2"/> <path d="M 0 80 Q 45 10, 90 80 L 0 80 Z" fill="#38bdf833"/> <path d="M 90 80 Q 135 150, 180 80 L 90 80 Z" fill="#f43f5e33"/> <text x="200" y="20" font-family="serif" font-style="italic" font-size="14" fill="#f8fafc">∫ v(t) dt = s(b) - s(a)</text> <text x="200" y="45" font-family="sans-serif" font-size="11" fill="#94a3b8">Displacement: Net area</text> <text x="200" y="65" font-family="sans-serif" font-size="11" fill="#94a3b8">Total Distance: ∫ |v(t)| dt</text> </g> <!-- Card 2: Average Value --> <rect x="40" y="320" width="400" height="200" rx="16" fill="#ffffff0d" stroke="#ffffff1a"/> <text x="60" y="350" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">02. Average Value</text> <text x="60" y="370" font-family="sans-serif" font-size="12" fill="#94a3b8">The height of a rectangle with equivalent area.</text> <!-- Average Value Illustration --> <g transform="translate(60, 390)"> <path d="M 0 90 Q 40 20, 100 60 T 180 30" fill="none" stroke="#f59e0b" stroke-width="2"/> <rect x="0" y="55" width="180" height="35" fill="#f59e0b22" stroke="#f59e0b" stroke-dasharray="4"/> <text x="200" y="30" font-family="serif" font-style="italic" font-size="14" fill="#f8fafc">f_avg = [1/(b-a)] ∫ f(x) dx</text> <text x="200" y="55" font-family="sans-serif" font-size="11" fill="#94a3b8">Mean Value Theorem:</text> <text x="200" y="70" font-family="sans-serif" font-size="11" fill="#94a3b8">Guarantees f(c) = f_avg</text> </g> <!-- Card 3: Area Between Curves --> <rect x="460" y="100" width="400" height="240" rx="16" fill="#ffffff0d" stroke="#ffffff1a"/> <text x="480" y="130" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">03. Area Between Curves</text> <!-- Slicing Comparison --> <g transform="translate(480, 150)"> <!-- Vertical Slice --> <path d="M 0 100 Q 50 10, 100 100" fill="none" stroke="#38bdf8" stroke-width="2"/> <path d="M 0 100 Q 50 150, 100 100" fill="none" stroke="#e879f9" stroke-width="2"/> <rect x="45" y="45" width="10" height="85" fill="#ffffff33" stroke="#ffffff"/> <text x="10" y="140" font-family="sans-serif" font-size="11" fill="#f8fafc">Vertical (dx)</text> <text x="10" y="155" font-family="sans-serif" font-size="10" fill="#94a3b8">Top - Bottom</text> <!-- Horizontal Slice --> <g transform="translate(150, 0)"> <path d="M 20 10 Q 110 50, 20 100" fill="none" stroke="#38bdf8" stroke-width="2"/> <path d="M 60 10 Q -30 50, 60 100" fill="none" stroke="#e879f9" stroke-width="2"/> <rect x="25" y="45" width="55" height="10" fill="#ffffff33" stroke="#ffffff"/> <text x="10" y="140" font-family="sans-serif" font-size="11" fill="#f8fafc">Horizontal (dy)</text> <text x="10" y="155" font-family="sans-serif" font-size="10" fill="#94a3b8">Right - Left</text> </g> <text x="0" y="175" font-family="serif" font-style="italic" font-size="13" fill="#f8fafc">A = ∫ [f(x) - g(x)] dx</text> </g> <!-- Card 4: Volume Concept --> <rect x="460" y="360" width="400" height="160" rx="16" fill="#ffffff0d" stroke="#ffffff1a"/> <text x="480" y="390" font-family="sans-serif" font-weight="700" font-size="18" fill="#22d3ee">04. Volume by Slicing</text> <g transform="translate(480, 410)"> <!-- 3D Slices --> <ellipse cx="40" cy="60" rx="30" ry="10" fill="none" stroke="#94a3b8" stroke-dasharray="2"/> <ellipse cx="60" cy="55" rx="35" ry="12" fill="none" stroke="#94a3b8" stroke-dasharray="2"/> <ellipse cx="85" cy="50" rx="40" ry="15" fill="#38bdf844" stroke="#38bdf8" stroke-width="2"/> <ellipse cx="115" cy="45" rx="45" ry="18" fill="none" stroke="#94a3b8" stroke-dasharray="2"/> <text x="180" y="40" font-family="serif" font-style="italic" font-size="16" fill="#f8fafc">V = ∫ A(x) dx</text> <text x="180" y="65" font-family="sans-serif" font-size="11" fill="#94a3b8">Summing infinitesimal</text> <text x="180" y="80" font-family="sans-serif" font-size="11" fill="#94a3b8">cross-sectional areas.</text> </g> <!-- Bottom Label --> <text x="450" y="545" font-family="sans-serif" font-size="10" fill="#475569" text-anchor="middle" letter-spacing="2">CALCULUS II • APPLICATIONS OF THE DEFINITE INTEGRAL • WIKI EDUCATIONAL SERIES</text> <!-- Decorative Elements --> <circle cx="860" cy="40" r="4" fill="#f59e0b"/> <circle cx="840" cy="40" r="4" fill="#e879f9"/> <circle cx="820" cy="40" r="4" fill="#38bdf8"/> </svg>Applications of Integration: Area and Volume image 1Applications of Integration: Area and Volume - AP/College Calculus AB - image 1https://www.getlykke.com/explore/public/apcollege-calculus-ab-32566f4a-f483-4cb5-98bd-98e5a44b121c/media/applications-of-integration/svg/1Applications of Integration: Area and Volume diagram 1Applications of Integration: Area and Volume - AP/College Calculus AB - diagram 1https://www.getlykke.com/explore/public/apcollege-calculus-ab-32566f4a-f483-4cb5-98bd-98e5a44b121c/media/applications-of-integration/svg/2Applications of Integration: Area and Volume diagram 2Applications of Integration: Area and Volume - AP/College Calculus AB - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Header --> <text x="40" y="60" font-family="sans-serif" font-size="32" font-weight="bold" fill="#f8fafc">AP Calculus AB Exam Mastery</text> <text x="40" y="85" font-family="sans-serif" font-size="16" fill="#94a3b8">A Comprehensive Guide to Conceptual Synthesis &amp; Problem Solving</text> <line x1="40" y1="105" x2="860" y2="105" stroke="#38bdf8" stroke-width="2" opacity="0.5"/> <!-- Left Column: The Big Four --> <rect x="40" y="130" width="260" height="390" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="60" y="165" font-family="sans-serif" font-size="18" font-weight="bold" fill="#f59e0b">The Core Pillars</text> <!-- Pillar 1 --> <circle cx="80" cy="210" r="20" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <path d="M 75 210 L 85 210 M 80 205 L 80 215" stroke="#38bdf8" stroke-width="2"/> <text x="110" y="205" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">Limits &amp; Continuity</text> <text x="110" y="222" font-family="sans-serif" font-size="11" fill="#94a3b8">The foundation of local behavior.</text> <!-- Pillar 2 --> <circle cx="80" cy="280" r="20" fill="#e879f920" stroke="#e879f9" stroke-width="2"/> <line x1="70" y1="290" x2="90" y2="270" stroke="#e879f9" stroke-width="2"/> <text x="110" y="275" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">Differentiation</text> <text x="110" y="292" font-family="sans-serif" font-size="11" fill="#94a3b8">Rates of change &amp; tangent slopes.</text> <!-- Pillar 3 --> <circle cx="80" cy="350" r="20" fill="#f59e0b20" stroke="#f59e0b" stroke-width="2"/> <path d="M 75 360 Q 80 350 85 340" stroke="#f59e0b" stroke-width="2" fill="none"/> <text x="110" y="345" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">Integration</text> <text x="110" y="362" font-family="sans-serif" font-size="11" fill="#94a3b8">Accumulation &amp; area under curves.</text> <!-- Pillar 4 --> <circle cx="80" cy="420" r="20" fill="#10b98120" stroke="#10b981" stroke-width="2"/> <path d="M 72 420 L 88 420 M 80 412 L 80 428" stroke="#10b981" stroke-width="1" fill="none" transform="rotate(45 80 420)"/> <text x="110" y="415" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">Differential Eq.</text> <text x="110" y="432" font-family="sans-serif" font-size="11" fill="#94a3b8">Modeling growth and separation.</text> <!-- Right Top: FRQ Architecture --> <rect x="320" y="130" width="540" height="160" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="340" y="165" font-family="sans-serif" font-size="18" font-weight="bold" fill="#38bdf8">FRQ Architecture (50% of Score)</text> <!-- Part A --> <rect x="340" y="185" width="240" height="80" rx="12" fill="#38bdf810"/> <text x="355" y="210" font-family="sans-serif" font-size="14" font-weight="bold" fill="#38bdf8">Part A: Questions 1–2</text> <text x="355" y="230" font-family="sans-serif" font-size="12" fill="#f8fafc">Graphing Calculator Required</text> <text x="355" y="248" font-family="sans-serif" font-size="11" fill="#94a3b8">Focus: Complex functions, Rate In/Out</text> <!-- Part B --> <rect x="600" y="185" width="240" height="80" rx="12" fill="#e879f910"/> <text x="615" y="210" font-family="sans-serif" font-size="14" font-weight="bold" fill="#e879f9">Part B: Questions 3–6</text> <text x="615" y="230" font-family="sans-serif" font-size="12" fill="#f8fafc">No Calculator Permitted</text> <text x="615" y="248" font-family="sans-serif" font-size="11" fill="#94a3b8">Focus: Theorems, Graphs, Tables</text> <!-- Right Bottom: Scoring Rubric Path --> <rect x="320" y="310" width="540" height="210" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="340" y="345" font-family="sans-serif" font-size="18" font-weight="bold" fill="#e879f9">The "Point-Stacking" Rubric</text> <!-- Step 1 --> <rect x="340" y="365" width="110" height="130" rx="8" fill="#ffffff05" stroke="#ffffff10"/> <text x="395" y="390" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc" text-anchor="middle">1. SETUP</text> <text x="395" y="415" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">Write the integral</text> <text x="395" y="430" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">or derivative.</text> <text x="395" y="460" font-family="sans-serif" font-size="10" fill="#38bdf8" text-anchor="middle" font-style="italic">Don't forget dx!</text> <!-- Step 2 --> <rect x="465" y="365" width="110" height="130" rx="8" fill="#ffffff05" stroke="#ffffff10"/> <text x="520" y="390" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc" text-anchor="middle">2. CALC</text> <text x="520" y="415" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">Apply rules:</text> <text x="520" y="430" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">Chain, Power, FTC.</text> <text x="520" y="460" font-family="sans-serif" font-size="10" fill="#38bdf8" text-anchor="middle" font-style="italic">Show your steps.</text> <!-- Step 3 --> <rect x="590" y="365" width="110" height="130" rx="8" fill="#ffffff05" stroke="#ffffff10"/> <text x="645" y="390" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc" text-anchor="middle">3. JUSTIFY</text> <text x="645" y="415" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">Name the theorem:</text> <text x="645" y="430" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">MVT, IVT, EVT.</text> <text x="645" y="460" font-family="sans-serif" font-size="10" fill="#38bdf8" text-anchor="middle" font-style="italic">Avoid using "it".</text> <!-- Step 4 --> <rect x="715" y="365" width="110" height="130" rx="8" fill="#ffffff05" stroke="#ffffff10"/> <text x="770" y="390" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc" text-anchor="middle">4. UNITS</text> <text x="770" y="415" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">Final answer with</text> <text x="770" y="430" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">correct units.</text> <text x="770" y="460" font-family="sans-serif" font-size="10" fill="#38bdf8" text-anchor="middle" font-style="italic">e.g. ft/sec²</text> <!-- Connectors --> <path d="M 450 430 L 465 430" stroke="#ffffff20" stroke-width="2" marker-end="url(#arrow)"/> <path d="M 575 430 L 590 430" stroke="#ffffff20" stroke-width="2"/> <path d="M 700 430 L 715 430" stroke="#ffffff20" stroke-width="2"/> <!-- Decorative FTC Formula --> <g opacity="0.4" transform="translate(680, 40)"> <rect x="0" y="0" width="180" height="45" rx="8" fill="#38bdf810" stroke="#38bdf8" stroke-dasharray="4"/> <text x="90" y="28" font-family="serif" font-size="14" fill="#38bdf8" text-anchor="middle" font-style="italic">∫ f'(x) dx = f(b) - f(a)</text> </g> </svg>AP Calculus AB Exam Preparation image 1AP Calculus AB Exam Preparation - AP/College Calculus AB - image 1https://www.getlykke.com/explore/public/apcollege-calculus-ab-32566f4a-f483-4cb5-98bd-98e5a44b121c/media/ap-exam-prep/svg/1AP Calculus AB Exam Preparation diagram 1AP Calculus AB Exam Preparation - AP/College Calculus AB - diagram 1https://www.getlykke.com/explore/public/apcollege-calculus-ab-32566f4a-f483-4cb5-98bd-98e5a44b121c/media/ap-exam-prep/svg/2AP Calculus AB Exam Preparation diagram 2AP Calculus AB Exam Preparation - AP/College Calculus AB - diagram 2https://www.getlykke.com/explore/public/apcollege-calculus-ab-32566f4a-f483-4cb5-98bd-98e5a44b121c/media/ap-exam-prep/svg/3AP Calculus AB Exam Preparation diagram 3AP Calculus AB Exam Preparation - AP/College Calculus AB - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="3" result="blur"/> <feComposite in="SourceGraphic" in2="blur" operator="over"/> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">COURSE CHALLENGE &amp; MASTERY</text> <text x="450" y="75" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" font-style="italic">The Terminal Phase of the AP Calculus AB Pedagogical Lifecycle</text> <line x1="350" y1="90" x2="550" y2="90" stroke="url(#accentGrad)" stroke-width="2" stroke-linecap="round"/> <!-- Left Column: Mastery Progression --> <rect x="40" y="110" width="260" height="280" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">The Mastery Ladder</text> <!-- Progression Steps --> <g transform="translate(60, 170)"> <!-- Mastered --> <circle cx="15" cy="0" r="12" fill="#f59e0b" filter="url(#glow)"/> <text x="40" y="5" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">MASTERED</text> <text x="40" y="20" font-family="sans-serif" font-size="11" fill="#94a3b8">Course Challenge Success</text> <line x1="15" y1="12" x2="15" y2="38" stroke="#94a3b8" stroke-width="2" stroke-dasharray="4 2"/> <!-- Proficient --> <circle cx="15" cy="50" r="10" fill="#e879f9"/> <text x="40" y="55" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Proficient</text> <text x="40" y="70" font-family="sans-serif" font-size="11" fill="#94a3b8">Unit Test Consistency</text> <line x1="15" y1="60" x2="15" y2="88" stroke="#94a3b8" stroke-width="2" stroke-dasharray="4 2"/> <!-- Familiar --> <circle cx="15" cy="100" r="10" fill="#38bdf8"/> <text x="40" y="105" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Familiar</text> <text x="40" y="120" font-family="sans-serif" font-size="11" fill="#94a3b8">Quiz Performance</text> <line x1="15" y1="110" x2="15" y2="138" stroke="#94a3b8" stroke-width="2" stroke-dasharray="4 2"/> <!-- Attempted --> <circle cx="15" cy="150" r="10" fill="#64748b"/> <text x="40" y="155" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Attempted</text> <text x="40" y="170" font-family="sans-serif" font-size="11" fill="#94a3b8">Initial Engagement</text> </g> <!-- Center: The 30-Question Gauntlet --> <rect x="320" y="110" width="540" height="280" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="340" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">The 30-Question Gauntlet</text> <!-- Gauntlet Visualization --> <g transform="translate(430, 250)"> <!-- Central Core --> <circle r="45" fill="none" stroke="url(#accentGrad)" stroke-width="2" stroke-dasharray="5 3"/> <text text-anchor="middle" y="5" font-family="sans-serif" font-weight="800" font-size="12" fill="#f8fafc">CUMULATIVE</text> <!-- Radiating Skill Nodes --> <path d="M 0,-45 L 0,-80" stroke="#38bdf8" stroke-width="2"/> <path d="M 39,-22 L 70,-40" stroke="#38bdf8" stroke-width="2"/> <path d="M 39,22 L 70,40" stroke="#38bdf8" stroke-width="2"/> <path d="M 0,45 L 0,80" stroke="#38bdf8" stroke-width="2"/> <path d="M -39,22 L -70,40" stroke="#38bdf8" stroke-width="2"/> <path d="M -39,-22 L -70,-40" stroke="#38bdf8" stroke-width="2"/> <!-- Small Question Dots --> <circle cx="0" cy="-85" r="4" fill="#f59e0b"/> <circle cx="75" cy="-45" r="4" fill="#f59e0b"/> <circle cx="75" cy="45" r="4" fill="#f59e0b"/> <circle cx="0" cy="85" r="4" fill="#f59e0b"/> <circle cx="-75" cy="45" r="4" fill="#f59e0b"/> <circle cx="-75" cy="-45" r="4" fill="#f59e0b"/> </g> <!-- Mastery Coefficient Formula Box --> <g transform="translate(580, 160)"> <rect width="250" height="100" rx="12" fill="#00000030" stroke="#ffffff10"/> <text x="125" y="30" text-anchor="middle" font-family="serif" font-size="16" fill="#f8fafc" font-style="italic">The Mastery Coefficient (ℳ)</text> <text x="125" y="65" text-anchor="middle" font-family="serif" font-size="20" fill="#f59e0b">ℳ = ∫₀ᵀ [a(t)·d(t) / e⁻λᵗ] dt</text> <text x="125" y="85" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">Accuracy × Difficulty / Forgetting Curve</text> </g> <!-- Bottom: Comparison Tiers --> <text x="40" y="425" font-family="sans-serif" font-weight="700" font-size="18" fill="#f8fafc">Assessment Tier Comparison</text> <!-- Tier 1: Quiz --> <rect x="40" y="440" width="260" height="90" rx="12" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="465" font-family="sans-serif" font-weight="700" font-size="14" fill="#38bdf8">QUIZ</text> <text x="60" y="485" font-family="sans-serif" font-size="12" fill="#f8fafc">Scope: 2-3 Skills</text> <text x="60" y="505" font-family="sans-serif" font-size="12" fill="#94a3b8">Context Switching: Low</text> <text x="60" y="520" font-family="sans-serif" font-size="11" fill="#38bdf8">Ceiling: Proficient</text> <!-- Tier 2: Unit Test --> <rect x="320" y="440" width="260" height="90" rx="12" fill="#ffffff0a" stroke="#ffffff15"/> <text x="340" y="465" font-family="sans-serif" font-weight="700" font-size="14" fill="#e879f9">UNIT TEST</text> <text x="340" y="485" font-family="sans-serif" font-size="12" fill="#f8fafc">Scope: Single Unit (U1-10)</text> <text x="340" y="505" font-family="sans-serif" font-size="12" fill="#94a3b8">Context Switching: Moderate</text> <text x="340" y="520" font-family="sans-serif" font-size="11" fill="#e879f9">Ceiling: Proficient</text> <!-- Tier 3: Course Challenge --> <rect x="600" y="440" width="260" height="90" rx="12" fill="#f59e0b15" stroke="#f59e0b40"/> <text x="620" y="465" font-family="sans-serif" font-weight="700" font-size="14" fill="#f59e0b">COURSE CHALLENGE</text> <text x="620" y="485" font-family="sans-serif" font-size="12" fill="#f8fafc">Scope: Entire Curriculum</text> <text x="620" y="505" font-family="sans-serif" font-size="12" fill="#94a3b8">Context Switching: Extreme</text> <text x="620" y="520" font-family="sans-serif" font-weight="700" font-size="11" fill="#f59e0b">Ceiling: MASTERED</text> <!-- Decorative Corner Elements --> <circle cx="880" cy="20" r="40" fill="#38bdf808"/> <circle cx="20" cy="540" r="60" fill="#e879f908"/> </svg>Course Challenge and Mastery image 1Course Challenge and Mastery - AP/College Calculus AB - image 1https://www.getlykke.com/explore/public/apcollege-calculus-ab-32566f4a-f483-4cb5-98bd-98e5a44b121c/media/course-challenge/svg/1Course Challenge and Mastery diagram 1Course Challenge and Mastery - AP/College Calculus AB - diagram 1https://www.getlykke.com/explore/public/apcollege-calculus-ab-32566f4a-f483-4cb5-98bd-98e5a44b121c/media/course-challenge/svg/2Course Challenge and Mastery diagram 2Course Challenge and Mastery - AP/College Calculus AB - diagram 2https://www.getlykke.com/explore/public/precalculus-2e-197c9158-ecc9-47fe-9183-c80854bf2e262026-04-20T04:57:55.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="30" height="30" patternUnits="userSpaceOnUse"> <circle cx="1" cy="1" r="1" fill="#ffffff10" /> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">FUNCTIONS &amp; LINEAR MODELING</text> <text x="450" y="75" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" letter-spacing="2">THE ARCHITECTURE OF MATHEMATICAL RELATIONSHIPS</text> <line x1="350" y1="85" x2="550" y2="85" stroke="#38bdf8" stroke-width="2" stroke-linecap="round"/> <!-- Card 1: The Mapping Paradigm --> <rect x="40" y="110" width="260" height="200" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">THE MAPPING PARADIGM</text> <text x="60" y="165" font-family="sans-serif" font-size="12" fill="#94a3b8">A function is a rule where every</text> <text x="60" y="180" font-family="sans-serif" font-size="12" fill="#94a3b8">input has exactly ONE output.</text> <!-- Mapping Visual --> <circle cx="85" cy="235" r="25" fill="#38bdf820" stroke="#38bdf8" stroke-width="1.5"/> <text x="85" y="240" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="bold" fill="#38bdf8">D</text> <circle cx="215" cy="235" r="25" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1.5"/> <text x="215" y="240" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f59e0b">R</text> <path d="M115 235 L185 235" stroke="#f8fafc" stroke-width="2" marker-end="url(#arrowhead)"/> <path d="M115 220 Q150 200 185 220" stroke="#f8fafc" stroke-width="1" stroke-dasharray="4"/> <path d="M115 250 Q150 270 185 250" stroke="#f8fafc" stroke-width="1" stroke-dasharray="4"/> <text x="150" y="215" text-anchor="middle" font-family="serif" font-style="italic" font-size="16" fill="#e879f9">f</text> <!-- Card 2: The Function Machine --> <rect x="320" y="110" width="260" height="200" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="340" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">FUNCTION NOTATION</text> <!-- Machine Visual --> <rect x="390" y="180" width="120" height="80" rx="8" fill="#e879f920" stroke="#e879f9" stroke-width="2"/> <text x="450" y="225" text-anchor="middle" font-family="serif" font-size="24" font-weight="bold" fill="#e879f9">f(x)</text> <path d="M340 220 L390 220" stroke="#38bdf8" stroke-width="3" marker-end="url(#arrowhead)"/> <text x="355" y="210" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#38bdf8">INPUT</text> <path d="M510 220 L560 220" stroke="#f59e0b" stroke-width="3" marker-end="url(#arrowhead)"/> <text x="545" y="210" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#f59e0b">OUTPUT</text> <text x="450" y="285" text-anchor="middle" font-family="sans-serif" font-size="12" fill="#94a3b8">"Value of f at input x"</text> <!-- Card 3: Domain & Range --> <rect x="600" y="110" width="260" height="200" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="620" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">CONSTRAINTS</text> <text x="620" y="170" font-family="sans-serif" font-size="13" font-weight="bold" fill="#38bdf8">DOMAIN (Inputs)</text> <text x="620" y="188" font-family="sans-serif" font-size="11" fill="#94a3b8">• No division by zero</text> <text x="620" y="204" font-family="sans-serif" font-size="11" fill="#94a3b8">• No even roots of negatives</text> <text x="620" y="235" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f59e0b">RANGE (Outputs)</text> <text x="620" y="253" font-family="sans-serif" font-size="11" fill="#94a3b8">• The set of all resulting values</text> <text x="620" y="269" font-family="sans-serif" font-size="11" fill="#94a3b8">• Interval Notation: [min, max]</text> <!-- Bottom Card: Visual Analysis & Linear Modeling --> <rect x="40" y="330" width="820" height="200" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <!-- VLT 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FUNCTION.</text> </g> <!-- Linear Modeling Section --> <line x1="410" y1="350" x2="410" y2="510" stroke="#ffffff15" stroke-width="1"/> <text x="440" y="365" font-family="sans-serif" font-weight="700" font-size="18" fill="#f8fafc">LINEAR MODELING</text> <text x="440" y="390" font-family="serif" font-size="22" fill="#38bdf8" font-weight="bold">f(x) = mx + b</text> <g transform="translate(440, 410)"> <rect width="380" height="90" rx="8" fill="#ffffff05"/> <text x="15" y="25" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f59e0b">m = Slope (Rate of Change)</text> <text x="15" y="42" font-family="sans-serif" font-size="11" fill="#94a3b8">The constant propagation of change: Δy / Δx</text> <text x="15" y="65" font-family="sans-serif" font-size="13" font-weight="bold" fill="#e879f9">b = y-intercept (Initial Value)</text> <text x="15" y="82" font-family="sans-serif" font-size="11" fill="#94a3b8">The starting state of the system where x = 0</text> <!-- Slope Triangle Visual --> <g transform="translate(280, 10)"> <line x1="0" y1="60" x2="60" y2="10" stroke="#38bdf8" stroke-width="2"/> <path d="M20 43 L50 43 L50 18" fill="none" stroke="#f59e0b" stroke-width="1" stroke-dasharray="2"/> <text x="55" y="35" font-family="sans-serif" font-size="9" fill="#f59e0b">Δy</text> <text x="30" y="55" font-family="sans-serif" font-size="9" fill="#f59e0b">Δx</text> </g> </g> <!-- Markers --> <defs> <marker id="arrowhead" markerWidth="10" markerHeight="7" refX="0" refY="3.5" orient="auto"> <polygon points="0 0, 10 3.5, 0 7" fill="#f8fafc" /> </marker> </defs> </svg>Functions and Linear Modeling image 1Functions and Linear Modeling - Precalculus 2e - image 1https://www.getlykke.com/explore/public/precalculus-2e-197c9158-ecc9-47fe-9183-c80854bf2e26/media/functions-and-linear-modeling/svg/1Functions and Linear Modeling diagram 1Functions and Linear Modeling - Precalculus 2e - diagram 1<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" 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stroke="url(#accentGrad)" stroke-width="2" stroke-linecap="round" opacity="0.6"/> <text x="450" y="95" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" font-weight="300">From Smooth Curvature to Asymptotic Boundaries</text> <!-- Left Card: Polynomials --> <rect x="40" y="130" width="400" height="260" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <circle cx="75" cy="165" r="18" fill="#38bdf820"/> <path d="M 65 170 Q 75 150 85 170" fill="none" stroke="#38bdf8" stroke-width="2.5"/> <text x="105" y="170" font-family="sans-serif" font-weight="700" font-size="18" fill="#f8fafc">Polynomial Functions</text> <!-- Mini Graph: Parabola --> <g transform="translate(70, 200)"> <line x1="0" y1="60" x2="120" y2="60" stroke="#94a3b8" stroke-width="1" opacity="0.5"/> <line x1="60" y1="0" x2="60" y2="100" stroke="#94a3b8" stroke-width="1" opacity="0.5"/> <path d="M 20 10 Q 60 110 100 10" fill="none" stroke="#f59e0b" stroke-width="3" filter="url(#glow)"/> <circle cx="60" cy="60" r="4" fill="#f8fafc"/> <text x="65" y="55" font-family="sans-serif" font-size="10" fill="#f8fafc">Vertex (h, k)</text> </g> <g transform="translate(210, 210)"> <text x="0" y="0" font-family="sans-serif" font-size="13" font-weight="600" fill="#38bdf8">QUADRATIC OPTIMIZATION</text> <text x="0" y="20" font-family="sans-serif" font-size="11" fill="#94a3b8">f(x) = a(x - h)² + k</text> <text x="0" y="45" font-family="sans-serif" font-size="11" fill="#cbd5e1" width="180"> <tspan x="0" dy="0">• Vertex is the absolute extreme</tspan> <tspan x="0" dy="18">• h = -b / 2a (Standard Form)</tspan> <tspan x="0" dy="18">• Models acceleration &amp; range</tspan> </text> </g> <!-- Right Card: Rational --> <rect x="460" y="130" width="400" height="260" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <circle cx="495" cy="165" r="18" fill="#e879f920"/> <path d="M 485 175 L 505 155 M 485 155 L 505 175" fill="none" stroke="#e879f9" stroke-width="2.5"/> <text x="525" y="170" font-family="sans-serif" font-weight="700" font-size="18" fill="#f8fafc">Rational Functions</text> <!-- Mini Graph: Rational --> <g transform="translate(490, 200)"> <line x1="0" y1="50" x2="120" y2="50" stroke="#94a3b8" stroke-width="1" opacity="0.5"/> <line x1="60" y1="0" x2="60" y2="100" stroke="#94a3b8" stroke-width="1" opacity="0.5"/> <!-- Asymptote --> <line x1="60" y1="0" x2="60" y2="100" stroke="#e879f9" stroke-width="1" stroke-dasharray="4 2"/> <path d="M 10 45 Q 50 45 55 5 M 65 95 Q 70 55 110 55" fill="none" stroke="#38bdf8" stroke-width="3" filter="url(#glow)"/> <text x="65" y="15" font-family="sans-serif" font-size="10" fill="#e879f9">Asymptote</text> </g> <g transform="translate(630, 210)"> <text x="0" y="0" font-family="sans-serif" font-size="13" font-weight="600" fill="#e879f9">LIMIT BEHAVIOR</text> <text x="0" y="20" font-family="sans-serif" font-size="11" fill="#94a3b8">f(x) = P(x) / Q(x)</text> <text x="0" y="45" font-family="sans-serif" font-size="11" fill="#cbd5e1"> <tspan x="0" dy="0">• 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font-family="monospace" font-size="14" fill="#f8fafc">c | aₙ aₙ₋₁ ... a₀</text> <path d="M -5 22 L 130 22" stroke="#38bdf8" stroke-width="1"/> <text x="15" y="40" font-family="monospace" font-size="14" fill="#94a3b8">qₙ₋₁ qₙ₋₂ ... r</text> </g> </g> <line x1="580" y1="430" x2="580" y2="510" stroke="#ffffff10" stroke-width="1"/> <g transform="translate(610, 445)"> <text x="0" y="0" font-family="sans-serif" font-weight="700" font-size="14" fill="#e879f9">FACTOR THEOREM</text> <text x="0" y="22" font-family="sans-serif" font-size="12" fill="#94a3b8">(x - c) is a factor if and</text> <text x="0" y="40" font-family="sans-serif" font-size="12" fill="#f8fafc" font-weight="600">only if f(c) = 0.</text> </g> <!-- Decorative elements --> <circle cx="850" cy="50" r="30" fill="url(#accentGrad)" opacity="0.1"/> <circle cx="50" cy="510" r="20" fill="#f59e0b" opacity="0.1"/> </svg>Polynomial and Rational Functions image 1Polynomial and Rational Functions - Precalculus 2e - image 1https://www.getlykke.com/explore/public/precalculus-2e-197c9158-ecc9-47fe-9183-c80854bf2e26/media/polynomial-and-rational-functions/svg/1Polynomial and Rational Functions diagram 1Polynomial and Rational Functions - Precalculus 2e - diagram 1https://www.getlykke.com/explore/public/precalculus-2e-197c9158-ecc9-47fe-9183-c80854bf2e26/media/polynomial-and-rational-functions/svg/2Polynomial and Rational Functions diagram 2Polynomial and Rational Functions - Precalculus 2e - diagram 2https://www.getlykke.com/explore/public/precalculus-2e-197c9158-ecc9-47fe-9183-c80854bf2e26/media/polynomial-and-rational-functions/svg/3Polynomial and Rational Functions diagram 3Polynomial and Rational Functions - Precalculus 2e - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" 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text-transform="uppercase" letter-spacing="0.1em">The Mathematics of Multiplicative Change</text> <!-- Left Panel: Exponential Growth --> <rect x="40" y="130" width="260" height="320" rx="20" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="65" y="165" font-family="system-ui, sans-serif" font-weight="700" font-size="18" fill="#f59e0b">Exponential Growth</text> <text x="65" y="190" font-family="serif" font-style="italic" font-size="16" fill="#f8fafc">f(x) = a · bˣ</text> <path d="M 70 340 Q 180 340 260 220" fill="none" stroke="#f59e0b" stroke-width="3" filter="url(#glow)"/> <circle cx="70" cy="340" r="4" fill="#f59e0b"/> <text x="65" y="370" font-family="system-ui, sans-serif" font-size="12" fill="#94a3b8">Constant Ratio Property:</text> <text x="65" y="388" font-family="system-ui, sans-serif" font-size="12" fill="#f8fafc">Outputs grow by a factor of 'b'</text> <text x="65" y="405" font-family="system-ui, sans-serif" font-size="12" fill="#f8fafc">for every unit increase in 'x'.</text> <!-- Right Panel: Logarithmic Functions --> <rect x="600" y="130" width="260" height="320" rx="20" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="625" y="165" font-family="system-ui, sans-serif" font-weight="700" font-size="18" fill="#38bdf8">Logarithmic Scale</text> <text x="625" y="190" font-family="serif" font-style="italic" font-size="16" fill="#f8fafc">f(x) = log_b(x)</text> <path d="M 630 220 Q 630 340 780 340" fill="none" stroke="#38bdf8" stroke-width="3" filter="url(#glow)"/> <circle cx="780" cy="340" r="4" fill="#38bdf8"/> <text x="625" y="370" font-family="system-ui, sans-serif" font-size="12" fill="#94a3b8">The Inverse Operation:</text> <text x="625" y="388" font-family="system-ui, sans-serif" font-size="12" fill="#f8fafc">Logs answer: "To what power</text> <text x="625" y="405" font-family="system-ui, sans-serif" font-size="12" fill="#f8fafc">must we raise b to get x?"</text> <!-- Center Hub: The Natural Base e --> <circle cx="450" y="280" r="85" fill="#1e1b4b" stroke="#e879f9" stroke-width="2" stroke-dasharray="8 4"/> <text x="450" y="285" text-anchor="middle" font-family="serif" font-style="italic" font-weight="800" font-size="72" fill="#e879f9" filter="url(#glow)">e</text> <text x="450" y="320" text-anchor="middle" font-family="system-ui, sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">≈ 2.71828</text> <text x="450" y="180" text-anchor="middle" font-family="system-ui, sans-serif" font-size="13" fill="#94a3b8">The Natural Base</text> <!-- Connecting Arrows (Inverse Relationship) --> <path d="M 320 280 L 355 280" stroke="#e879f9" stroke-width="2" marker-end="url(#arrow)"/> <path d="M 545 280 L 580 280" stroke="#e879f9" stroke-width="2" marker-start="url(#arrow)"/> <!-- Application Icons (Bottom Row) --> <g transform="translate(150, 480)"> <circle cx="0" cy="0" r="25" fill="#ffffff10"/> <text x="0" y="5" text-anchor="middle" font-size="20" fill="#f59e0b">$</text> <text x="0" y="45" text-anchor="middle" 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y="45" text-anchor="middle" font-family="system-ui, sans-serif" font-size="11" fill="#94a3b8">Information</text> </g> <!-- Definitions for Markers --> <defs> <marker id="arrow" viewBox="0 0 10 10" refX="5" refY="5" markerWidth="4" markerHeight="4" orient="auto-start-reverse"> <path d="M 0 0 L 10 5 L 0 10 z" fill="#e879f9" /> </marker> </defs> <!-- Decorative labels --> <text x="450" y="400" text-anchor="middle" font-family="system-ui, sans-serif" font-size="12" fill="#94a3b8" font-style="italic">"The bridge between addition and multiplication"</text> </svg>Exponential and Logarithmic Functions image 1Exponential and Logarithmic Functions - Precalculus 2e - image 1https://www.getlykke.com/explore/public/precalculus-2e-197c9158-ecc9-47fe-9183-c80854bf2e26/media/exponential-and-logarithmic-functions/svg/1Exponential and Logarithmic Functions diagram 1Exponential and Logarithmic Functions - Precalculus 2e - diagram 1<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">TRIGONOMETRY &amp; PERIODIC FUNCTIONS</text> <text x="450" y="75" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" font-style="italic">Bridging Static Geometry and Dynamic Oscillations</text> <!-- Left Panel: The Unit Circle --> <rect x="40" y="100" width="380" height="320" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="135" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">The Unit Circle (r = 1)</text> <!-- Circle Diagram --> <circle cx="210" cy="260" r="80" fill="none" stroke="#94a3b8" stroke-width="1" stroke-dasharray="4 2"/> <line x1="110" y1="260" x2="310" y2="260" stroke="#ffffff33" stroke-width="1"/> <line x1="210" y1="160" x2="210" y2="360" stroke="#ffffff33" stroke-width="1"/> <!-- Angle and Point --> <path d="M 210 260 L 266.5 203.5" stroke="#f59e0b" stroke-width="3" filter="url(#glow)"/> <circle cx="266.5" cy="203.5" r="4" fill="#f59e0b"/> <text x="275" y="195" font-family="sans-serif" font-size="12" fill="#f8fafc">P(x, y)</text> <!-- Trig Labels --> <line x1="266.5" y1="260" x2="266.5" y2="203.5" stroke="#e879f9" stroke-width="2" stroke-dasharray="2 2"/> <text x="272" y="240" font-family="sans-serif" font-size="11" fill="#e879f9">sin(θ) = y</text> <line x1="210" y1="260" x2="266.5" y2="260" stroke="#38bdf8" stroke-width="2"/> <text x="220" y="275" font-family="sans-serif" font-size="11" fill="#38bdf8">cos(θ) = x</text> <!-- Radians/Degrees Box --> <rect x="60" y="350" width="340" height="50" rx="8" fill="#00000033"/> <text x="75" y="372" font-family="sans-serif" font-size="11" font-weight="bold" fill="#94a3b8">CONVERSION</text> <text x="75" y="388" font-family="sans-serif" font-size="13" fill="#f8fafc">180° = π rad</text> <text x="200" y="388" font-family="sans-serif" font-size="13" fill="#f8fafc">1 rad ≈ 57.3°</text> <text x="310" y="388" font-family="sans-serif" font-size="13" fill="#f8fafc">360° = 2π</text> <!-- Right Panel: Periodic Wave --> <rect x="440" y="100" width="420" height="320" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="460" y="135" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">Periodic Behavior</text> <!-- Wave Graph --> <path d="M 460 260 L 840 260" stroke="#ffffff33" stroke-width="1"/> <path d="M 460 180 L 840 180" stroke="#ffffff11" stroke-width="1" stroke-dasharray="4 4"/> <path d="M 460 340 L 840 340" stroke="#ffffff11" stroke-width="1" stroke-dasharray="4 4"/> <!-- Sine Wave Path --> <path d="M 460 260 C 500 100, 540 100, 580 260 C 620 420, 660 420, 700 260 C 740 100, 780 100, 820 260" fill="none" stroke="#38bdf8" stroke-width="3" filter="url(#glow)"/> <!-- Wave Annotations --> <path d="M 540 260 L 540 180" stroke="#f59e0b" stroke-width="2" marker-end="url(#arrow)"/> <text x="545" y="220" font-family="sans-serif" font-size="11" fill="#f59e0b">Amplitude (A)</text> <path d="M 460 360 L 700 360" stroke="#38bdf8" stroke-width="1"/> <line x1="460" y1="355" x2="460" y2="365" stroke="#38bdf8" stroke-width="1"/> <line x1="700" y1="355" x2="700" y2="365" stroke="#38bdf8" stroke-width="1"/> <text x="540" y="380" font-family="sans-serif" font-size="11" fill="#38bdf8" text-anchor="middle">Period (P = 2π/|B|)</text> <!-- Formula Card --> <rect x="460" y="145" width="380" height="30" rx="6" fill="#ffffff08"/> <text x="650" y="165" text-anchor="middle" font-family="serif" font-size="16" fill="#f8fafc" font-style="italic">f(x) = A sin(B(x - C)) + D</text> <!-- Bottom Section: Applications & Implementation --> <rect x="40" y="440" width="820" height="90" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <!-- App Icons --> <g transform="translate(70, 465)"> <circle cx="20" cy="20" r="15" fill="#38bdf822" stroke="#38bdf8" stroke-width="1"/> <path d="M 12 20 Q 16 10 20 20 T 28 20" fill="none" stroke="#38bdf8" stroke-width="2"/> <text x="45" y="18" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Sound Waves</text> <text x="45" y="32" font-family="sans-serif" font-size="11" fill="#94a3b8">Acoustics &amp; Music</text> </g> <g transform="translate(240, 465)"> <circle cx="20" cy="20" r="15" fill="#e879f922" stroke="#e879f9" stroke-width="1"/> <circle cx="20" cy="20" r="4" fill="#e879f9"/> <circle cx="32" cy="12" r="3" fill="#f8fafc"/> <text x="45" y="18" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Orbital Mechanics</text> <text x="45" y="32" font-family="sans-serif" font-size="11" fill="#94a3b8">Celestial Cycles</text> </g> <g transform="translate(450, 465)"> <rect x="0" y="5" width="340" height="60" rx="8" fill="#00000044"/> <text x="10" y="22" font-family="monospace" font-size="10" fill="#38bdf8">sin(x) = x - x³/3! + x⁵/5! - ...</text> <text x="10" y="40" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f8fafc">Taylor Series Expansion</text> <text x="10" y="54" font-family="sans-serif" font-size="11" fill="#94a3b8">Low-level computational approximation</text> </g> <!-- Connecting Visual --> <path d="M 266.5 203.5 Q 350 150, 460 260" fill="none" stroke="#ffffff22" stroke-width="2" stroke-dasharray="5 5"/> <!-- Decorative Dots --> <circle cx="860" cy="40" r="3" fill="#f59e0b"/> <circle cx="840" cy="40" r="3" fill="#e879f9"/> <circle cx="820" cy="40" r="3" fill="#38bdf8"/> </svg>Trigonometry and Periodic Functions image 1Trigonometry and Periodic Functions - Precalculus 2e - image 1https://www.getlykke.com/explore/public/precalculus-2e-197c9158-ecc9-47fe-9183-c80854bf2e26/media/trigonometry-and-periodic-functions/svg/1Trigonometry and Periodic Functions diagram 1Trigonometry and Periodic Functions - Precalculus 2e - diagram 1https://www.getlykke.com/explore/public/precalculus-2e-197c9158-ecc9-47fe-9183-c80854bf2e26/media/trigonometry-and-periodic-functions/svg/2Trigonometry and Periodic Functions diagram 2Trigonometry and Periodic Functions - Precalculus 2e - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="450" y="60" text-anchor="middle" font-family="Arial, sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">ANALYTIC GEOMETRY &amp; THE CALCULUS BRIDGE</text> <text x="450" y="85" text-anchor="middle" font-family="Arial, sans-serif" font-size="16" fill="#94a3b8" font-style="italic">The Transition from Static Relationships to Dynamic Motion</text> <line x1="300" y1="100" x2="600" y2="100" stroke="#38bdf8" stroke-width="2" stroke-dasharray="8 4" opacity="0.5"/> <!-- Left Column: Conic Sections --> <rect x="30" y="120" width="265" height="400" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="50" y="155" font-family="Arial, sans-serif" font-weight="bold" font-size="18" fill="#38bdf8">CONIC SECTIONS</text> <text x="50" y="175" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">The Geometry of Quadratic Loci</text> <!-- Cone Illustration --> <path d="M 160 200 L 100 300 L 220 300 Z" fill="none" stroke="#ffffff30" stroke-width="1.5"/> <path d="M 160 400 L 100 300 L 220 300 Z" fill="none" stroke="#ffffff30" stroke-width="1.5"/> <ellipse cx="160" cy="230" rx="25" ry="8" fill="none" stroke="#f59e0b" stroke-width="2" filter="url(#glow)"/> <!-- Circle --> <path d="M 130 250 Q 160 265 190 250" fill="none" stroke="#e879f9" stroke-width="2"/> <!-- Ellipse slice --> <path d="M 115 340 Q 160 310 205 340" fill="none" stroke="#38bdf8" stroke-width="2"/> <!-- Parabola slice --> <text x="50" y="420" font-family="Arial, sans-serif" font-size="11" fill="#f8fafc" font-weight="bold">GENERAL EQUATION:</text> <text x="50" y="438" font-family="serif" font-size="13" fill="#f8fafc">Ax² + Bxy + Cy² + Dx + Ey + F = 0</text> <g font-family="Arial, sans-serif" font-size="11"> <circle cx="55" cy="465" r="4" fill="#f59e0b"/> <text x="68" y="469" fill="#94a3b8">Circle (e = 0)</text> <circle cx="55" cy="482" r="4" fill="#e879f9"/> <text x="68" y="486" fill="#94a3b8">Ellipse (0 ≤ e &lt; 1)</text> <circle cx="165" cy="465" r="4" fill="#38bdf8"/> <text x="178" y="469" fill="#94a3b8">Parabola (e = 1)</text> <circle cx="165" cy="482" r="4" fill="#fb7185"/> <text x="178" y="486" fill="#94a3b8">Hyperbola (e &gt; 1)</text> </g> <!-- Center Column: The Limit --> <rect x="315" y="120" width="270" height="400" rx="16" fill="#ffffff12" stroke="#38bdf840" stroke-width="2"/> <text x="450" y="155" text-anchor="middle" font-family="Arial, sans-serif" font-weight="bold" font-size="20" fill="#f59e0b">THE LIMIT CONCEPT</text> <text x="450" y="175" text-anchor="middle" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">Gateway to the Infinitesimal</text> <!-- Limit Visual --> <path d="M 350 350 Q 450 350 550 220" fill="none" stroke="#ffffff20" stroke-width="3"/> <circle cx="480" cy="305" r="5" fill="#f59e0b" filter="url(#glow)"/> <line x1="430" y1="335" x2="530" y2="275" stroke="#38bdf8" stroke-width="2"/> <!-- Tangent --> <text x="450" y="380" text-anchor="middle" font-family="serif" font-size="22" fill="#f8fafc">lim f(x) = L</text> <text x="450" y="400" text-anchor="middle" font-family="serif" font-size="12" fill="#94a3b8">x → c</text> <rect x="340" y="425" width="220" height="75" rx="8" fill="#00000030"/> <text x="355" y="445" font-family="Arial, sans-serif" font-size="11" font-weight="bold" fill="#f59e0b">THE FORMAL DEFINITION</text> <text x="355" y="465" font-family="serif" font-size="12" fill="#cbd5e1">For every ε &gt; 0, there exists a δ &gt; 0</text> <text x="355" y="482" font-family="serif" font-size="12" fill="#cbd5e1">such that |f(x) - L| &lt; ε whenever</text> <text x="355" y="495" font-family="serif" font-size="12" fill="#cbd5e1">0 &lt; |x - c| &lt; δ.</text> <!-- Right Column: Sequences & Series --> <rect x="605" y="120" width="265" height="400" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="625" y="155" font-family="Arial, sans-serif" font-weight="bold" font-size="18" fill="#e879f9">SEQUENCES &amp; SERIES</text> <text x="625" y="175" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">Discrete Foundations of Sums</text> <!-- Series Visual --> <g transform="translate(640, 220)"> <rect x="0" y="80" width="20" height="20" fill="#e879f9" opacity="1"/> <rect x="25" y="90" width="20" height="10" fill="#e879f9" opacity="0.8"/> <rect x="50" y="95" width="20" height="5" fill="#e879f9" opacity="0.6"/> <rect x="75" y="97" width="20" height="3" fill="#e879f9" opacity="0.4"/> <rect x="100" y="98" width="20" height="2" fill="#e879f9" opacity="0.2"/> <text x="0" y="120" font-family="serif" font-size="14" fill="#f8fafc">Σ arⁿ⁻¹</text> </g> <path d="M 625 340 L 850 340" stroke="#ffffff15" stroke-width="1"/> <text x="625" y="370" font-family="Arial, sans-serif" font-size="11" font-weight="bold" fill="#e879f9">CONVERGENCE CONDITION</text> <text x="625" y="390" font-family="serif" font-size="14" fill="#f8fafc">| r | &lt; 1</text> <text x="625" y="410" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">If met, the infinite sum is:</text> <text x="625" y="435" font-family="serif" font-size="18" fill="#f8fafc">S = a₁ / (1 - r)</text> <rect x="625" y="455" width="225" height="45" rx="6" fill="#e879f915"/> <text x="635" y="473" font-family="Arial, sans-serif" font-size="11" font-weight="bold" fill="#f8fafc">THE BINOMIAL THEOREM</text> <text x="635" y="488" font-family="serif" font-size="11" fill="#cbd5e1">(x + y)ⁿ = Σ (ⁿₖ) xⁿ⁻ᵏ yᵏ</text> <!-- Footer Branding --> <text x="450" y="545" text-anchor="middle" font-family="Arial, sans-serif" font-size="10" fill="#475569" letter-spacing="2">WIKI MATHEMATICA • ANALYTIC GEOMETRY SERIES • MODULE 04</text> </svg>Analytic Geometry and Intro to Calculus image 1Analytic Geometry and Intro to Calculus - Precalculus 2e - image 1https://www.getlykke.com/explore/public/precalculus-2e-197c9158-ecc9-47fe-9183-c80854bf2e26/media/analytic-geometry-and-intro-to-calculus/svg/1Analytic Geometry and Intro to Calculus diagram 1Analytic Geometry and Intro to Calculus - Precalculus 2e - diagram 1https://www.getlykke.com/explore/public/precalculus-2e-197c9158-ecc9-47fe-9183-c80854bf2e26/media/analytic-geometry-and-intro-to-calculus/svg/2Analytic Geometry and Intro to Calculus diagram 2Analytic Geometry and Intro to Calculus - Precalculus 2e - diagram 2https://www.getlykke.com/explore/public/precalculus-2e-197c9158-ecc9-47fe-9183-c80854bf2e26/media/analytic-geometry-and-intro-to-calculus/svg/3Analytic Geometry and Intro to Calculus diagram 3Analytic Geometry and Intro to Calculus - Precalculus 2e - diagram 3https://www.getlykke.com/explore/public/precalculus-760426f2-c765-4f63-848e-73deae621c372026-04-20T04:56:53.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="450" y="50" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-weight="800" font-size="32" letter-spacing="2">COMPOSITE &amp; INVERSE FUNCTIONS</text> <path d="M 300 65 L 600 65" stroke="#38bdf8" stroke-width="2" stroke-linecap="round" opacity="0.6"/> <!-- LEFT PANEL: Composition --> <rect x="40" y="100" width="400" height="240" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="135" fill="#38bdf8" font-family="sans-serif" font-weight="700" font-size="18">FUNCTION COMPOSITION</text> <text x="60" y="155" fill="#94a3b8" font-family="sans-serif" font-size="12">The "Pipeline" of Mathematics: f(g(x))</text> <!-- Pipeline Graphic --> <g transform="translate(60, 180)"> <!-- Input --> <circle cx="20" cy="40" r="15" fill="#38bdf822" stroke="#38bdf8" stroke-width="2"/> <text x="20" y="44" text-anchor="middle" fill="#f8fafc" font-family="serif" font-style="italic" font-size="14">x</text> <!-- Arrow 1 --> <path d="M 35 40 L 75 40" stroke="#94a3b8" stroke-width="2" marker-end="url(#arrow)"/> <polygon points="75,40 68,36 68,44" fill="#94a3b8"/> <!-- Function g --> <rect x="80" y="20" width="50" height="40" rx="4" fill="#38bdf8" filter="url(#glow)"/> <text x="105" y="45" text-anchor="middle" fill="#0f172a" font-family="serif" font-weight="bold" font-size="18">g</text> <!-- Arrow 2 --> <path d="M 130 40 L 170 40" stroke="#94a3b8" stroke-width="2"/> <polygon points="170,40 163,36 163,44" fill="#94a3b8"/> <!-- Intermediate --> <text x="205" y="45" text-anchor="middle" fill="#f8fafc" font-family="serif" font-style="italic" font-size="14">g(x)</text> <!-- Arrow 3 --> <path d="M 240 40 L 280 40" stroke="#94a3b8" stroke-width="2"/> <polygon points="280,40 273,36 273,44" fill="#94a3b8"/> <!-- Function f --> <rect x="285" y="20" width="50" height="40" rx="4" fill="#e879f9" filter="url(#glow)"/> <text x="310" y="45" text-anchor="middle" fill="#0f172a" font-family="serif" font-weight="bold" font-size="18">f</text> <!-- Final Output --> <text x="310" y="85" text-anchor="middle" fill="#f8fafc" font-family="serif" font-style="italic" font-size="16" font-weight="bold">f(g(x))</text> </g> <!-- Note on Commutativity --> <rect x="60" y="285" width="360" height="40" rx="8" fill="#ef444415"/> <text x="240" y="310" text-anchor="middle" fill="#fca5a5" font-family="sans-serif" font-size="13" font-weight="600">Order Matters! f(g(x)) ≠ g(f(x))</text> <!-- RIGHT PANEL: Inverses --> <rect x="460" y="100" width="400" height="240" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="480" y="135" fill="#f59e0b" font-family="sans-serif" font-weight="700" font-size="18">INVERSE FUNCTIONS</text> <text x="480" y="155" fill="#94a3b8" font-family="sans-serif" font-size="12">The "Mirror" Property: Reflection across y = x</text> <!-- Graph Graphic --> <g transform="translate(640, 240)"> <!-- Axes --> <line x1="-80" y1="0" x2="80" y2="0" stroke="#94a3b8" stroke-width="1"/> <line x1="0" y1="-80" x2="0" y2="80" stroke="#94a3b8" stroke-width="1"/> <!-- y = x line --> <line x1="-70" y1="70" x2="70" y2="-70" stroke="#f8fafc" stroke-width="1" stroke-dasharray="4"/> <text x="55" y="-60" fill="#f8fafc" font-family="serif" font-size="10">y=x</text> <!-- f(x) = x^3 style curve --> <path d="M -60 60 Q -20 50 0 0 Q 20 -50 60 -60" fill="none" stroke="#38bdf8" stroke-width="3" filter="url(#glow)"/> <text x="-75" y="45" fill="#38bdf8" font-family="serif" font-size="12" font-weight="bold">f(x)</text> <!-- f-1(x) reflection --> <path d="M 60 -60 Q 50 -20 0 0 Q -50 20 -60 60" fill="none" stroke="#f59e0b" stroke-width="3" filter="url(#glow)"/> <text x="65" y="-35" fill="#f59e0b" font-family="serif" font-size="12" font-weight="bold">f⁻¹(x)</text> </g> <text x="480" y="320" fill="#94a3b8" font-family="sans-serif" font-size="11">Swap x and y to find the inverse algebraically.</text> <!-- BOTTOM PANEL: Rules & Logic --> <rect x="40" y="360" width="820" height="160" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <!-- Horizontal Line Test --> <g transform="translate(70, 390)"> <text x="0" y="20" fill="#f8fafc" font-family="sans-serif" font-weight="700" font-size="16">1. ONE-TO-ONE CHECK</text> <text x="0" y="40" fill="#94a3b8" font-family="sans-serif" font-size="12">Must pass the Horizontal Line Test (HLT).</text> <!-- Mini Graph Fail --> <g transform="translate(0, 55)"> <rect width="100" height="60" rx="4" fill="#00000033"/> <path d="M 10 50 Q 50 -20 90 50" fill="none" stroke="#38bdf8" stroke-width="2"/> <line x1="5" y1="25" x2="95" y2="25" stroke="#ef4444" stroke-width="1.5"/> <circle cx="28" cy="25" r="3" fill="#ef4444"/> <circle cx="72" cy="25" r="3" fill="#ef4444"/> <text x="50" y="55" text-anchor="middle" fill="#ef4444" font-family="sans-serif" font-size="9" font-weight="bold">FAIL (Not Invertible)</text> </g> <!-- Mini Graph Pass --> <g transform="translate(120, 55)"> <rect width="100" height="60" rx="4" fill="#00000033"/> <line x1="10" y1="50" x2="90" y2="10" stroke="#38bdf8" stroke-width="2"/> <line x1="5" y1="30" x2="95" y2="30" stroke="#22c55e" stroke-width="1.5"/> <circle cx="50" cy="30" r="3" fill="#22c55e"/> <text x="50" y="55" text-anchor="middle" fill="#22c55e" font-family="sans-serif" font-size="9" font-weight="bold">PASS (One-to-One)</text> </g> </g> <!-- Identity Property --> <g transform="translate(380, 390)"> <text x="0" y="20" fill="#f8fafc" font-family="sans-serif" font-weight="700" font-size="16">2. THE IDENTITY LOOP</text> <text x="0" y="40" fill="#94a3b8" font-family="sans-serif" font-size="12">Inverses "undo" each other perfectly.</text> <rect x="0" y="55" width="220" height="60" rx="8" fill="#e879f911" stroke="#e879f944"/> <text x="110" y="90" text-anchor="middle" fill="#f8fafc" font-family="serif" font-size="20" font-weight="bold">f(f⁻¹(x)) = x</text> <path d="M 190 75 A 15 15 0 1 1 190 95" fill="none" stroke="#e879f9" stroke-width="2" marker-end="url(#arrow)"/> </g> <!-- Domain/Range Swap --> <g transform="translate(650, 390)"> <text x="0" y="20" fill="#f8fafc" font-family="sans-serif" font-weight="700" font-size="16">3. DOMAIN SWAP</text> <text x="0" y="45" fill="#38bdf8" font-family="sans-serif" font-size="12">Domain of f</text> <text x="100" y="45" fill="#f59e0b" font-family="sans-serif" font-size="12">Range of f⁻¹</text> <path d="M 75 42 L 95 42" stroke="#f8fafc" stroke-width="1"/> <text x="0" y="75" fill="#38bdf8" font-family="sans-serif" font-size="12">Range of f</text> <text x="100" y="75" fill="#f59e0b" font-family="sans-serif" font-size="12">Domain of f⁻¹</text> <path d="M 75 72 L 95 72" stroke="#f8fafc" stroke-width="1"/> <path d="M 0 55 L 160 55" stroke="#ffffff22" stroke-width="1"/> </g> <!-- Decorative elements --> <circle cx="40" cy="40" r="3" fill="#38bdf8"/> <circle cx="860" cy="40" r="3" fill="#f59e0b"/> <circle cx="40" cy="520" r="3" fill="#e879f9"/> <circle cx="860" cy="520" r="3" fill="#22c55e"/> </svg>Composite and Inverse Functions image 1Composite and Inverse Functions - Precalculus - image 1https://www.getlykke.com/explore/public/precalculus-760426f2-c765-4f63-848e-73deae621c37/media/composite-and-inverse-functions/svg/1Composite and Inverse Functions diagram 1Composite and Inverse Functions - Precalculus - diagram 1https://www.getlykke.com/explore/public/precalculus-760426f2-c765-4f63-848e-73deae621c37/media/composite-and-inverse-functions/svg/2Composite and Inverse Functions diagram 2Composite and Inverse Functions - Precalculus - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="30" height="30" patternUnits="userSpaceOnUse"> <circle cx="1" cy="1" r="1" fill="#334155" fill-opacity="0.5"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="40" y="50" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">TRIGONOMETRY &amp; SINUSOIDAL MODELS</text> <text x="40" y="75" font-family="sans-serif" font-size="14" fill="#94a3b8" letter-spacing="1">FROM GEOMETRIC RATIOS TO PERIODIC PHENOMENA</text> <line x1="40" y1="90" x2="860" y2="90" stroke="#334155" stroke-width="1"/> <!-- Panel 1: The Unit Circle (Foundation) --> <rect x="40" y="110" width="260" height="410" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">01. THE UNIT CIRCLE</text> <text x="60" y="160" font-family="sans-serif" font-size="12" fill="#94a3b8">The bridge between geometry &amp; algebra.</text> <!-- Circle Graphic --> <circle cx="170" cy="260" r="70" fill="none" stroke="#334155" stroke-width="2" stroke-dasharray="4 2"/> <line x1="100" y1="260" x2="240" y2="260" stroke="#475569" stroke-width="1"/> <line x1="170" y1="190" x2="170" y2="330" stroke="#475569" stroke-width="1"/> <!-- Triangle inside circle --> <path d="M 170,260 L 220,210 L 220,260 Z" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <circle cx="220" cy="210" r="4" fill="#e879f9" filter="url(#glow)"/> <text x="228" y="205" font-family="serif" font-style="italic" font-size="12" fill="#f8fafc">P(x, y)</text> <text x="185" y="252" font-family="serif" font-size="14" fill="#f59e0b">θ</text> <!-- Identities --> <rect x="60" y="360" width="220" height="140" rx="8" fill="#00000030"/> <text x="75" y="385" font-family="serif" font-size="14" fill="#f8fafc">x = cos(θ)</text> <text x="75" y="405" font-family="serif" font-size="14" fill="#f8fafc">y = sin(θ)</text> <text x="75" y="435" font-family="sans-serif" font-weight="700" font-size="13" fill="#e879f9">Pythagorean Identity:</text> <text x="75" y="455" font-family="serif" font-size="16" fill="#f8fafc">sin²θ + cos²θ = 1</text> <text x="75" y="485" font-family="sans-serif" font-size="11" fill="#94a3b8">Valid for all real numbers θ.</text> <!-- Panel 2: Sinusoidal Evolution --> <rect x="320" y="110" width="260" height="410" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="340" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">02. PERIODICITY</text> <text x="340" y="160" font-family="sans-serif" font-size="12" fill="#94a3b8">Rotation over time yields a wave.</text> <!-- Waveform Graphic --> <path d="M 340,280 L 560,280" stroke="#475569" stroke-width="1"/> <path d="M 340,220 L 340,340" stroke="#475569" stroke-width="1"/> <path d="M 340,280 Q 367.5,180 395,280 T 450,280 T 505,280 T 560,280" fill="none" stroke="#f59e0b" stroke-width="3" filter="url(#glow)"/> <text x="350" y="210" font-family="sans-serif" font-size="11" fill="#f59e0b" font-weight="bold">AMPLITUDE</text> <line x1="395" y1="280" x2="505" y2="280" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 2"/> <text x="415" y="300" font-family="sans-serif" font-size="11" fill="#38bdf8" font-weight="bold">PERIOD (2π)</text> <text x="340" y="380" font-family="sans-serif" font-weight="700" font-size="13" fill="#f8fafc">The Standard Model:</text> <text x="340" y="405" font-family="serif" font-size="18" fill="#f59e0b">y = A sin(B(x - C)) + D</text> <g font-family="sans-serif" font-size="11" fill="#94a3b8"> <text x="340" y="435">• A: Amplitude (Stretch)</text> <text x="340" y="455">• B: Frequency (Period = 2π/B)</text> <text x="340" y="475">• C: Phase Shift (Horizontal)</text> <text x="340" y="495">• D: Vertical Shift (Midline)</text> </g> <!-- Panel 3: Inverse & General (Top) --> <rect x="600" y="110" width="260" height="195" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="620" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">03. INVERSE FUNCTIONS</text> <text x="620" y="160" font-family="sans-serif" font-size="12" fill="#94a3b8">Restricting domain for uniqueness.</text> <rect x="620" y="180" width="220" height="100" rx="8" fill="#00000030"/> <g font-family="sans-serif" font-size="11" fill="#f8fafc"> <text x="635" y="205" font-weight="bold" fill="#e879f9">Function</text> <text x="730" y="205" font-weight="bold" fill="#e879f9">Principal Range</text> <text x="635" y="230">sin⁻¹(x)</text> <text x="730" y="230">[-π/2, π/2]</text> <text x="635" y="250">cos⁻¹(x)</text> <text x="730" y="250">[0, π]</text> <text x="635" y="270">tan⁻¹(x)</text> <text x="730" y="270">(-π/2, π/2)</text> </g> <!-- Panel 4: General Triangles (Bottom) --> <rect x="600" y="325" width="260" height="195" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="620" y="355" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">04. OBLIQUE LAWS</text> <path d="M 630,430 L 710,430 L 670,390 Z" fill="none" stroke="#38bdf8" stroke-width="2"/> <text x="665" y="385" font-family="serif" font-size="10" fill="#94a3b8">C</text> <text x="620" y="435" font-family="serif" font-size="10" fill="#94a3b8">A</text> <text x="715" y="435" font-family="serif" font-size="10" fill="#94a3b8">B</text> <text x="620" y="460" font-family="sans-serif" font-weight="700" font-size="12" fill="#f8fafc">Law of Sines:</text> <text x="620" y="478" font-family="serif" font-size="14" fill="#38bdf8">a/sinA = b/sinB = c/sinC</text> <text x="620" y="500" font-family="sans-serif" font-weight="700" font-size="12" fill="#f8fafc">Law of Cosines:</text> <text x="620" y="515" font-family="serif" font-size="13" fill="#38bdf8">c² = a² + b² - 2ab cosC</text> <!-- Decorative elements --> <circle cx="850" cy="50" r="20" fill="none" stroke="#f59e0b" stroke-width="1" stroke-dasharray="2 2"/> <path d="M 840,50 L 860,50 M 850,40 L 850,60" stroke="#f59e0b" stroke-width="1"/> </svg>Trigonometry and Sinusoidal Models image 1Trigonometry and Sinusoidal Models - Precalculus - image 1https://www.getlykke.com/explore/public/precalculus-760426f2-c765-4f63-848e-73deae621c37/media/trigonometry-and-sinusoidal-models/svg/1Trigonometry and Sinusoidal Models diagram 1Trigonometry and Sinusoidal Models - Precalculus - diagram 1https://www.getlykke.com/explore/public/precalculus-760426f2-c765-4f63-848e-73deae621c37/media/trigonometry-and-sinusoidal-models/svg/2Trigonometry and Sinusoidal Models diagram 2Trigonometry and Sinusoidal Models - Precalculus - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dotPattern" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff08" /> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="3" result="blur" /> <feComposite in="SourceGraphic" in2="blur" operator="over" /> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dotPattern)"/> <!-- Header --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="32" fill="#f8fafc">COMPLEX NUMBERS &amp; POLAR FORM</text> <text x="450" y="75" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" letter-spacing="1">TRANSITIONING FROM ALGEBRAIC GRID TO GEOMETRIC ROTATION</text> <!-- Left Panel: Rectangular Form --> <rect x="40" y="110" width="260" height="240" rx="16" fill="#ffffff10" stroke="#ffffff20" stroke-width="1"/> <text x="60" y="140" font-family="sans-serif" font-weight="bold" font-size="18" fill="#e879f9">Rectangular Form</text> <text x="60" y="165" font-family="serif" font-style="italic" font-size="22" fill="#f8fafc">z = a + bi</text> <g transform="translate(70, 190)"> <line x1="0" y1="100" x2="100" y2="100" stroke="#94a3b8" stroke-width="1" stroke-dasharray="4"/> <line x1="0" y1="100" x2="0" y2="0" stroke="#94a3b8" stroke-width="1" stroke-dasharray="4"/> <rect x="0" y="30" width="70" height="70" fill="#e879f920" stroke="#e879f9" stroke-width="2"/> <text x="35" y="115" text-anchor="middle" font-family="sans-serif" font-size="12" fill="#94a3b8">Real (a)</text> <text x="-10" y="65" text-anchor="end" font-family="sans-serif" font-size="12" fill="#94a3b8" transform="rotate(-90, -10, 65)">Imaginary (b)</text> <circle cx="70" cy="30" r="4" fill="#f8fafc"/> </g> <text x="60" y="325" font-family="sans-serif" font-size="12" fill="#94a3b8" width="220"> <tspan x="60" dy="0">Best for addition and subtraction.</tspan> <tspan x="60" dy="16">Visualized as a point on a grid.</tspan> </text> <!-- Center: The Bridge (Main Diagram) --> <g transform="translate(450, 240)"> <!-- Axes --> <line x1="-120" y1="0" x2="120" y2="0" stroke="#475569" stroke-width="1"/> <line x1="0" y1="-120" x2="0" y2="120" stroke="#475569" stroke-width="1"/> <text x="125" y="5" font-family="sans-serif" font-size="12" fill="#475569">Re</text> <text x="5" y="-125" font-family="sans-serif" font-size="12" fill="#475569">Im</text> <!-- Unit Circle Reference --> <circle cx="0" cy="0" r="100" fill="none" stroke="#ffffff08" stroke-width="1"/> <!-- Vector z --> <line x1="0" y1="0" x2="86.6" y2="-50" stroke="#f59e0b" stroke-width="3" filter="url(#glow)"/> <circle cx="86.6" cy="-50" r="5" fill="#f59e0b"/> <!-- Angle Arc --> <path d="M 30 0 A 30 30 0 0 0 25.98 -15" fill="none" stroke="#38bdf8" stroke-width="2"/> <!-- Labels --> <text x="45" y="-35" font-family="serif" font-style="italic" font-size="18" fill="#f59e0b">r</text> <text x="35" y="-8" font-family="serif" font-style="italic" font-size="18" fill="#38bdf8">θ</text> <text x="95" y="-60" font-family="serif" font-weight="bold" font-size="20" fill="#f8fafc">z</text> </g> <!-- Right Panel: Polar Form --> <rect x="600" y="110" width="260" height="240" rx="16" fill="#ffffff10" stroke="#ffffff20" stroke-width="1"/> <text x="620" y="140" font-family="sans-serif" font-weight="bold" font-size="18" fill="#38bdf8">Polar Form</text> <text x="620" y="165" font-family="serif" font-style="italic" font-size="22" fill="#f8fafc">z = r(cos θ + i sin θ)</text> <g transform="translate(630, 190)"> <circle cx="50" cy="50" r="45" fill="none" stroke="#38bdf840" stroke-width="1" stroke-dasharray="4"/> <line x1="50" y1="50" x2="85" y2="20" stroke="#f59e0b" stroke-width="2"/> <path d="M 70 50 A 20 20 0 0 0 65 35" fill="none" stroke="#38bdf8" stroke-width="2"/> <text x="90" y="20" font-family="sans-serif" font-size="11" fill="#94a3b8">Magnitude &amp; Phase</text> </g> <text x="620" y="325" font-family="sans-serif" font-size="12" fill="#94a3b8"> <tspan x="620" dy="0">Best for multiplication and powers.</tspan> <tspan x="620" dy="16">Visualized as rotation and scaling.</tspan> </text> <!-- Bottom Section: Euler's Formula & Operations --> <rect x="40" y="370" width="820" height="160" rx="16" fill="#ffffff05" stroke="#ffffff10" stroke-width="1"/> <!-- Euler's Formula --> <g transform="translate(60, 400)"> <text x="0" y="20" font-family="sans-serif" font-weight="bold" font-size="16" fill="#f59e0b">EULER'S FORMULA</text> <rect x="0" y="35" width="240" height="60" rx="8" fill="#f59e0b10" stroke="#f59e0b40"/> <text x="120" y="75" text-anchor="middle" font-family="serif" font-size="24" fill="#f8fafc">e<tspan baseline-shift="super" font-size="16">iθ</tspan> = cos θ + i sin θ</text> <text x="0" y="115" font-family="sans-serif" font-size="12" fill="#94a3b8">The exponential bridge to rotation.</text> </g> <!-- Arithmetic Rules --> <g transform="translate(360, 400)"> <text x="0" y="20" font-family="sans-serif" font-weight="bold" font-size="16" fill="#38bdf8">MULTIPLICATION RULE</text> <text x="0" y="55" font-family="serif" font-size="18" fill="#f8fafc">z<tspan baseline-shift="sub" font-size="12">1</tspan>z<tspan baseline-shift="sub" font-size="12">2</tspan> = r<tspan baseline-shift="sub" font-size="12">1</tspan>r<tspan baseline-shift="sub" font-size="12">2</tspan> e<tspan baseline-shift="super" font-size="12">i(θ₁+θ₂)</tspan></text> <path d="M 0 75 L 200 75" stroke="#ffffff20" stroke-width="1"/> <text x="0" y="100" font-family="sans-serif" font-size="13" fill="#f8fafc">Multiply Moduli | <tspan fill="#38bdf8">Add Arguments</tspan></text> <text x="0" y="118" font-family="sans-serif" font-size="12" fill="#94a3b8">Multiplication becomes a geometric spin.</text> </g> <!-- Conversion Formulas --> <g transform="translate(650, 400)"> <text x="0" y="20" font-family="sans-serif" font-weight="bold" font-size="16" fill="#94a3b8">CONVERSION</text> <text x="0" y="50" font-family="serif" font-size="14" fill="#f8fafc">r = √(a² + b²)</text> <text x="0" y="75" font-family="serif" font-size="14" fill="#f8fafc">θ = atan2(b, a)</text> <text x="0" y="100" font-family="serif" font-size="14" fill="#f8fafc">a = r cos θ</text> <text x="0" y="125" font-family="serif" font-size="14" fill="#f8fafc">b = r sin θ</text> </g> <!-- Decorative elements --> <circle cx="850" cy="50" r="30" fill="none" stroke="#e879f920" stroke-width="2"/> <circle cx="850" cy="50" r="15" fill="none" stroke="#e879f940" stroke-width="1"/> <path d="M 40 50 L 150 50" stroke="#f59e0b" stroke-width="2" stroke-linecap="round"/> </svg>Complex Numbers and Polar Form image 1Complex Numbers and Polar Form - Precalculus - image 1https://www.getlykke.com/explore/public/precalculus-760426f2-c765-4f63-848e-73deae621c37/media/complex-numbers-and-polar-form/svg/1Complex Numbers and Polar Form diagram 1Complex Numbers and Polar Form - Precalculus - diagram 1https://www.getlykke.com/explore/public/precalculus-760426f2-c765-4f63-848e-73deae621c37/media/complex-numbers-and-polar-form/svg/2Complex Numbers and Polar Form diagram 2Complex Numbers and Polar Form - Precalculus - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dotPattern" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10" /> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> <filter id="cardShadow"> <feDropShadow dx="0" dy="4" stdDeviation="8" flood-opacity="0.3"/> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dotPattern)"/> <!-- Decorative Geometry --> <circle cx="850" cy="50" r="100" fill="#38bdf808" /> <path d="M-50 400 L150 600 L-50 600 Z" fill="#e879f905" /> <!-- Header --> <text x="450" y="60" text-anchor="middle" font-family="sans-serif" font-size="32" font-weight="800" fill="#f8fafc" letter-spacing="-0.5">RATIONAL FUNCTIONS</text> <text x="450" y="85" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="400" fill="#94a3b8" text-transform="uppercase" letter-spacing="2">The Architecture of Singularities &amp; Asymptotes</text> <!-- Left Card: Definition & Arithmetic --> <rect x="40" y="120" width="250" height="400" rx="16" fill="#ffffff08" stroke="#ffffff15" filter="url(#cardShadow)"/> <text x="60" y="155" font-family="sans-serif" font-size="18" font-weight="700" fill="#38bdf8">The Foundation</text> <text x="60" y="185" font-family="serif" font-size="20" font-style="italic" fill="#f8fafc">R(x) = P(x) / Q(x)</text> <text x="60" y="210" font-family="sans-serif" font-size="12" fill="#94a3b8" width="210"> <tspan x="60" dy="0">A ratio of two polynomials where</tspan> <tspan x="60" dy="16">the denominator Q(x) ≠ 0.</tspan> </text> <line x1="60" y1="245" x2="270" y2="245" stroke="#ffffff15" /> <text x="60" y="275" font-family="sans-serif" font-size="16" font-weight="700" fill="#f8fafc">Arithmetic Bridge</text> <!-- Arithmetic Icons/Steps --> <g transform="translate(60, 295)"> <rect width="24" height="24" rx="6" fill="#38bdf820" /> <text x="12" y="17" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="bold" fill="#38bdf8">×</text> <text x="35" y="16" font-family="sans-serif" font-size="13" font-weight="600" fill="#f8fafc">Multiply</text> <text x="35" y="30" font-family="sans-serif" font-size="11" fill="#94a3b8">Factor first, then cancel.</text> </g> <g transform="translate(60, 345)"> <rect width="24" height="24" rx="6" fill="#e879f920" /> <text x="12" y="17" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="bold" fill="#e879f9">÷</text> <text x="35" y="16" font-family="sans-serif" font-size="13" font-weight="600" fill="#f8fafc">Divide</text> <text x="35" y="30" font-family="sans-serif" font-size="11" fill="#94a3b8">Multiply by the reciprocal.</text> </g> <g transform="translate(60, 395)"> <rect width="24" height="24" rx="6" fill="#f59e0b20" /> <text x="12" y="17" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f59e0b">+</text> <text x="35" y="16" font-family="sans-serif" font-size="13" font-weight="600" fill="#f8fafc">Add/Sub</text> <text x="35" y="30" font-family="sans-serif" font-size="11" fill="#94a3b8">Find the LCM denominator.</text> </g> <!-- Center Card: Visual Graph --> <rect x="310" y="120" width="280" height="400" rx="16" fill="#ffffff12" stroke="#38bdf830" filter="url(#cardShadow)"/> <!-- Coordinate System --> <g transform="translate(450, 340)"> <!-- Grid --> <line x1="-120" y1="0" x2="120" y2="0" stroke="#94a3b840" stroke-width="1" /> <line x1="0" y1="-150" x2="0" y2="80" stroke="#94a3b840" stroke-width="1" /> <!-- Vertical Asymptote --> <line x1="-40" y1="-150" x2="-40" y2="80" stroke="#e879f9" stroke-width="2" stroke-dasharray="6,4" /> <text x="-45" y="95" text-anchor="end" font-family="sans-serif" font-size="10" fill="#e879f9" font-weight="bold">V.A. x = c</text> <!-- Curve Part 1 --> <path d="M -120 -10 Q -60 -15 -45 -150" fill="none" stroke="#38bdf8" stroke-width="3" filter="url(#glow)"/> <!-- Curve Part 2 with Hole --> <path d="M -35 80 Q -20 10 40 10 L 120 10" fill="none" stroke="#38bdf8" stroke-width="3" filter="url(#glow)"/> <!-- Hole --> <circle cx="60" cy="10" r="5" fill="#1e1b4b" stroke="#f59e0b" stroke-width="2" /> <text x="65" y="-5" font-family="sans-serif" font-size="10" fill="#f59e0b" font-weight="bold">HOLE (Removable)</text> <text x="0" y="-170" text-anchor="middle" font-family="sans-serif" font-size="16" font-weight="700" fill="#f8fafc">Visual Anatomy</text> </g> <!-- Right Card: Discontinuities --> <rect x="610" y="120" width="250" height="400" rx="16" fill="#ffffff08" stroke="#ffffff15" filter="url(#cardShadow)"/> <text x="630" y="155" font-family="sans-serif" font-size="18" font-weight="700" fill="#e879f9">The Breaks</text> <!-- Hole Section --> <g transform="translate(630, 180)"> <text x="0" y="0" font-family="sans-serif" font-size="14" font-weight="700" fill="#f59e0b">Removable (Holes)</text> <rect y="10" width="210" height="75" rx="8" fill="#f59e0b10" /> <text x="10" y="30" font-family="sans-serif" font-size="11" fill="#f8fafc"> <tspan x="10" dy="0">Occurs when a factor (x - c)</tspan> <tspan x="10" dy="15">exists in both P(x) and Q(x).</tspan> <tspan x="10" dy="20" fill="#94a3b8" font-style="italic">The limit exists, but the</tspan> <tspan x="10" dy="15" fill="#94a3b8" font-style="italic">point is missing.</tspan> </text> </g> <!-- Asymptote Section --> <g transform="translate(630, 285)"> <text x="0" y="0" font-family="sans-serif" font-size="14" font-weight="700" fill="#e879f9">Non-Removable (V.A.)</text> <rect y="10" width="210" height="75" rx="8" fill="#e879f910" /> <text x="10" y="30" font-family="sans-serif" font-size="11" fill="#f8fafc"> <tspan x="10" dy="0">Occurs when (x - c) remains</tspan> <tspan x="10" dy="15">in the denominator after</tspan> <tspan x="10" dy="20" fill="#94a3b8" font-style="italic">simplification. The function</tspan> <tspan x="10" dy="15" fill="#94a3b8" font-style="italic">shoots to ± Infinity.</tspan> </text> </g> <!-- End Behavior --> <g transform="translate(630, 390)"> <text x="0" y="0" font-family="sans-serif" font-size="14" font-weight="700" fill="#38bdf8">End Behavior</text> <text x="0" y="25" font-family="sans-serif" font-size="11" fill="#f8fafc">Determined by degrees (n, m):</text> <g transform="translate(0, 40)"> <text x="0" y="0" font-family="sans-serif" font-size="10" fill="#94a3b8">n &lt; m : y = 0 (H.A.)</text> <text x="0" y="15" font-family="sans-serif" font-size="10" fill="#94a3b8">n = m : y = leading coeff ratio</text> <text x="0" y="30" font-family="sans-serif" font-size="10" fill="#94a3b8">n &gt; m : Slant Asymptote</text> </g> </g> <!-- Footer / Domain Note --> <rect x="310" y="475" width="280" height="45" rx="12" fill="#38bdf815" stroke="#38bdf840" /> <text x="450" y="493" text-anchor="middle" font-family="sans-serif" font-size="11" font-weight="bold" fill="#38bdf8">DOMAIN PRESERVATION</text> <text x="450" y="508" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#f8fafc">Always track original restrictions, even after canceling factors!</text> </svg>Rational Functions image 1Rational Functions - Precalculus - image 1https://www.getlykke.com/explore/public/precalculus-760426f2-c765-4f63-848e-73deae621c37/media/rational-functions/svg/1Rational Functions diagram 1Rational Functions - Precalculus - diagram 1https://www.getlykke.com/explore/public/precalculus-760426f2-c765-4f63-848e-73deae621c37/media/rational-functions/svg/2Rational Functions diagram 2Rational Functions - Precalculus - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="cardGrad" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#ffffff15"/> <stop offset="100%" stop-color="#ffffff05"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background and Grid --> <rect width="900" height="560" fill="url(#bg)"/> <g stroke="#ffffff08" stroke-width="1"> <path d="M0 40h900M0 80h900M0 120h900M0 160h900M0 200h900M0 240h900M0 280h900M0 320h900M0 360h900M0 400h900M0 440h900M0 480h900M0 520h900"/> <path d="M40 0v560M80 0v560M120 0v560M160 0v560M200 0v560M240 0v560M280 0v560M320 0v560M360 0v560M400 0v560M440 0v560M480 0v560M520 0v560M560 0v560M600 0v560M640 0v560M680 0v560M720 0v560M760 0v560M800 0v560M840 0v560M880 0v560"/> </g> <!-- Header Section --> <text x="40" y="60" font-family="Arial, sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="-1">CONIC SECTIONS</text> <text x="40" y="85" font-family="Arial, sans-serif" font-size="14" fill="#94a3b8" font-weight="400">The Geometric Language of the Physical Universe</text> <rect x="40" y="100" width="180" height="4" fill="#38bdf8" rx="2"/> <!-- Central Illustration: The Double Cone --> <g transform="translate(450, 280)"> <!-- Cones --> <path d="M-80,-150 L80,-150 L0,0 Z" fill="#ffffff10" stroke="#94a3b8" stroke-width="1" stroke-dasharray="4 2"/> <path d="M-80,150 L80,150 L0,0 Z" fill="#ffffff10" stroke="#94a3b8" stroke-width="1" stroke-dasharray="4 2"/> <!-- Slicing Planes (Stylized) --> <path d="M-100,-110 L100,-110 L120,-90 L-80,-90 Z" fill="#38bdf830" stroke="#38bdf8" stroke-width="1.5"/> <!-- Circle Plane --> <path d="M-100,20 L100,70 L120,90 L-80,40 Z" fill="#e879f930" stroke="#e879f9" stroke-width="1.5"/> <!-- Ellipse Plane --> <!-- Labels for Cone --> <text x="90" y="-100" font-family="Arial, sans-serif" font-size="11" fill="#38bdf8" font-weight="bold">CIRCLE (θ = 90°)</text> <text x="110" y="60" font-family="Arial, sans-serif" font-size="11" fill="#e879f9" font-weight="bold">ELLIPSE (θ &gt; α)</text> <text x="-160" y="120" font-family="Arial, sans-serif" font-size="11" fill="#f59e0b" font-weight="bold">PARABOLA (θ = α)</text> <text x="-160" y="-40" font-family="Arial, sans-serif" font-size="11" fill="#f43f5e" font-weight="bold">HYPERBOLA (θ &lt; α)</text> </g> <!-- Info Cards --> <!-- Circle Card --> <rect x="40" y="140" width="180" height="110" rx="16" fill="url(#cardGrad)" stroke="#ffffff10"/> <circle cx="70" cy="175" r="20" fill="none" stroke="#38bdf8" stroke-width="2" filter="url(#glow)"/> <text x="100" y="175" font-family="Arial, sans-serif" font-size="16" font-weight="bold" fill="#f8fafc">Circle</text> <text x="60" y="210" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">Eccentricity: e = 0</text> <text x="60" y="228" font-family="Arial, sans-serif" font-size="11" fill="#38bdf8">x² + y² = r²</text> <!-- Ellipse Card --> <rect x="40" y="265" width="180" height="110" rx="16" fill="url(#cardGrad)" stroke="#ffffff10"/> <ellipse cx="70" cy="300" rx="25" ry="15" fill="none" stroke="#e879f9" stroke-width="2" filter="url(#glow)"/> <text x="105" y="300" font-family="Arial, sans-serif" font-size="16" font-weight="bold" fill="#f8fafc">Ellipse</text> <text x="60" y="335" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">0 &lt; e &lt; 1</text> <text x="60" y="353" font-family="Arial, sans-serif" font-size="11" fill="#e879f9">d₁ + d₂ = 2a</text> <!-- Parabola Card --> <rect x="680" y="140" width="180" height="110" rx="16" fill="url(#cardGrad)" stroke="#ffffff10"/> <path d="M695,185 Q710,155 725,185" fill="none" stroke="#f59e0b" stroke-width="2" filter="url(#glow)"/> <text x="735" y="175" font-family="Arial, sans-serif" font-size="16" font-weight="bold" fill="#f8fafc">Parabola</text> <text x="700" y="210" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">Eccentricity: e = 1</text> <text x="700" y="228" font-family="Arial, sans-serif" font-size="11" fill="#f59e0b">y² = 4ax</text> <!-- Hyperbola Card --> <rect x="680" y="265" width="180" height="110" rx="16" fill="url(#cardGrad)" stroke="#ffffff10"/> <path d="M695,285 Q710,300 695,315 M725,285 Q710,300 725,315" fill="none" stroke="#f43f5e" stroke-width="2" filter="url(#glow)"/> <text x="735" y="300" font-family="Arial, sans-serif" font-size="16" font-weight="bold" fill="#f8fafc">Hyperbola</text> <text x="700" y="335" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">Eccentricity: e &gt; 1</text> <text x="700" y="353" font-family="Arial, sans-serif" font-size="11" fill="#f43f5e">|d₁ - d₂| = 2a</text> <!-- Bottom Panel: General Equation --> <rect x="40" y="420" width="820" height="100" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="70" y="455" font-family="Arial, sans-serif" font-size="14" font-weight="bold" fill="#38bdf8" text-transform="uppercase">The General Second-Degree Equation</text> <text x="70" y="485" font-family="serif" font-size="24" fill="#f8fafc" font-style="italic">Ax² + Bxy + Cy² + Dx + Ey + F = 0</text> <!-- Discriminant Key --> <line x1="450" y1="435" x2="450" y2="505" stroke="#ffffff20" stroke-width="1"/> <text x="475" y="455" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#94a3b8">DISCRIMINANT: Δ = B² - 4AC</text> <g font-family="Arial, sans-serif" font-size="11"> <text x="475" y="475" fill="#f8fafc">Δ &lt; 0 : Ellipse / Circle</text> <text x="475" y="495" fill="#f8fafc">Δ = 0 : Parabola</text> <text x="620" y="475" fill="#f8fafc">Δ &gt; 0 : Hyperbola</text> <text x="620" y="495" fill="#f8fafc">B = 0, A = C : Circle</text> </g> <!-- Decorative Elements --> <circle cx="840" cy="60" r="15" fill="none" stroke="#ffffff20" stroke-width="1"/> <circle cx="840" cy="60" r="8" fill="#f59e0b" opacity="0.6"/> <path d="M820,40 L860,80" stroke="#ffffff10" stroke-width="1"/> </svg>Conic Sections image 1Conic Sections - Precalculus - image 1https://www.getlykke.com/explore/public/precalculus-760426f2-c765-4f63-848e-73deae621c37/media/conic-sections/svg/1Conic Sections diagram 1Conic Sections - Precalculus - diagram 1https://www.getlykke.com/explore/public/precalculus-760426f2-c765-4f63-848e-73deae621c37/media/conic-sections/svg/2Conic Sections diagram 2Conic Sections - Precalculus - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <!-- Background Gradient --> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <!-- Card Gradient --> <linearGradient id="cardGrad" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#ffffff15"/> <stop offset="100%" stop-color="#ffffff05"/> </linearGradient> <!-- Arrow Markers --> <marker id="arrowhead-blue" markerWidth="10" markerHeight="7" refX="9" refY="3.5" orient="auto"> <polygon points="0 0, 10 3.5, 0 7" fill="#38bdf8" /> </marker> <marker 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stroke-width="2" stroke-linecap="round"/> <!-- Left Column: Comparison --> <rect x="40" y="120" width="260" height="400" rx="16" fill="url(#cardGrad)" stroke="#ffffff10" stroke-width="1"/> <text x="60" y="155" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">Scalar vs. Vector</text> <!-- Scalar Section --> <circle cx="75" cy="200" r="15" fill="#94a3b833" stroke="#94a3b8" stroke-width="1"/> <text x="105" y="195" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">Scalar</text> <text x="105" y="212" font-family="sans-serif" font-size="12" fill="#94a3b8">Magnitude only (e.g., Mass, Temp)</text> <!-- Vector Section --> <line x1="60" y1="260" x2="90" y2="240" stroke="#f59e0b" stroke-width="3" marker-end="url(#arrowhead-gold)"/> <text x="105" y="250" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">Vector</text> <text x="105" y="267" font-family="sans-serif" font-size="12" fill="#94a3b8">Magnitude + Direction (Force, Velocity)</text> <rect x="55" y="300" width="230" height="1" fill="#ffffff10"/> <!-- Comparison Table --> <text x="60" y="330" font-family="sans-serif" font-size="11" font-weight="700" fill="#38bdf8">PROPERTY</text> <text x="150" y="330" font-family="sans-serif" font-size="11" font-weight="700" fill="#38bdf8">SCALAR</text> <text x="230" y="330" font-family="sans-serif" font-size="11" font-weight="700" fill="#38bdf8">VECTOR</text> <text x="60" y="355" font-family="sans-serif" font-size="11" fill="#f8fafc">Notation</text> <text x="150" y="355" font-family="sans-serif" font-size="11" fill="#94a3b8" font-style="italic">s</text> <text x="230" y="355" font-family="sans-serif" font-size="11" fill="#94a3b8" font-weight="bold">v</text> <text x="60" y="380" font-family="sans-serif" font-size="11" fill="#f8fafc">Tensor Rank</text> <text x="150" y="380" font-family="sans-serif" font-size="11" fill="#94a3b8">0</text> <text x="230" y="380" font-family="sans-serif" font-size="11" fill="#94a3b8">1</text> <!-- Middle Column: Geometric Ops --> <rect x="320" y="120" width="260" height="400" rx="16" fill="url(#cardGrad)" stroke="#ffffff10" stroke-width="1"/> <text x="340" y="155" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">Vector Addition</text> <!-- Tip-to-Tail Diagram --> <g transform="translate(360, 280)"> <!-- Grid lines --> <line x1="0" y1="0" x2="180" y2="0" stroke="#ffffff10" stroke-width="1"/> <line x1="0" y1="0" x2="0" y2="-120" stroke="#ffffff10" stroke-width="1"/> <!-- Vector U --> <line x1="0" y1="0" x2="80" y2="-30" stroke="#38bdf8" stroke-width="3" marker-end="url(#arrowhead-blue)"/> <text x="35" y="-25" font-family="sans-serif" font-size="12" fill="#38bdf8" font-weight="bold">u</text> <!-- Vector V --> <line x1="80" y1="-30" x2="140" y2="-100" stroke="#e879f9" stroke-width="3" marker-end="url(#arrowhead-pink)"/> <text x="115" y="-75" font-family="sans-serif" font-size="12" fill="#e879f9" font-weight="bold">v</text> <!-- Resultant --> <line x1="0" y1="0" x2="135" y2="-95" stroke="#f59e0b" stroke-width="3" stroke-dasharray="4" marker-end="url(#arrowhead-gold)"/> <text x="50" y="-65" font-family="sans-serif" font-size="13" fill="#f59e0b" font-weight="bold">u + v</text> </g> <text x="340" y="440" font-family="sans-serif" font-size="13" fill="#f8fafc" font-weight="600">Tip-to-Tail Method</text> <text x="340" y="460" font-family="sans-serif" font-size="12" fill="#94a3b8" width="220"> Place the tail of v at the tip of u. </text> <text x="340" y="476" font-family="sans-serif" font-size="12" fill="#94a3b8"> The resultant connects the start to end. </text> <!-- Right Column: Algebra --> <rect x="600" y="120" width="260" height="400" rx="16" fill="url(#cardGrad)" stroke="#ffffff10" stroke-width="1"/> <text x="620" y="155" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">Components</text> <!-- Component Diagram --> <g transform="translate(640, 300)"> <path d="M 0 0 L 120 0 L 120 -80 Z" fill="#38bdf810" stroke="#38bdf8" stroke-width="1" stroke-dasharray="2"/> <line x1="0" y1="0" x2="115" y2="-77" stroke="#f8fafc" stroke-width="3" marker-end="url(#arrowhead-gold)"/> <text x="50" y="15" font-family="serif" font-size="14" fill="#38bdf8" font-style="italic">vₓ</text> <text x="130" y="-35" font-family="serif" font-size="14" fill="#38bdf8" font-style="italic">vᵧ</text> <text x="40" y="-50" font-family="serif" font-size="14" fill="#f8fafc" font-weight="bold">||v||</text> </g> <!-- Formulas --> <rect x="620" y="340" width="220" height="140" rx="8" fill="#00000020"/> <text x="635" y="365" font-family="serif" font-size="14" fill="#f8fafc">Magnitude:</text> <text x="635" y="385" font-family="serif" font-size="16" fill="#f59e0b">||v|| = √(vₓ² + vᵧ²)</text> <text x="635" y="420" font-family="serif" font-size="14" fill="#f8fafc">Unit Vector:</text> <text x="635" y="440" font-family="serif" font-size="16" fill="#38bdf8">û = v / ||v||</text> <text x="635" y="470" font-family="serif" font-size="12" fill="#94a3b8">Scaling: k·v = ⟨kx, ky⟩</text> <!-- Decorative Footer --> <circle cx="450" cy="540" r="3" fill="#38bdf8"/> <circle cx="470" cy="540" r="3" fill="#e879f9"/> <circle cx="430" cy="540" r="3" fill="#f59e0b"/> </svg>Vectors image 1Vectors - Precalculus - image 1https://www.getlykke.com/explore/public/precalculus-760426f2-c765-4f63-848e-73deae621c37/media/vectors/svg/1Vectors diagram 1Vectors - Precalculus - diagram 1https://www.getlykke.com/explore/public/precalculus-760426f2-c765-4f63-848e-73deae621c37/media/vectors/svg/2Vectors diagram 2Vectors - Precalculus - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg-grad" x1="0%" y1="0%" x2="0%" y2="100%"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="30" height="30" patternUnits="userSpaceOnUse"> <path d="M 30 0 L 0 0 0 30" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg-grad)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="40" y="50" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">MATRICES</text> <text x="40" y="75" font-family="sans-serif" font-weight="400" font-size="14" fill="#38bdf8" letter-spacing="3">THE ENGINES OF LINEAR ALGEBRA</text> <line x1="40" y1="90" x2="320" y2="90" stroke="#38bdf8" stroke-width="2" opacity="0.5"/> <!-- Left Panel: The Mechanics --> <rect x="40" y="115" width="260" height="240" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="145" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">01. THE MECHANICS</text> <text x="60" y="165" font-family="sans-serif" font-size="12" fill="#94a3b8">Composition via Dot Product</text> <!-- Matrix Multiplication Visual --> <g transform="translate(65, 190)"> <!-- Matrix A --> <rect x="0" y="0" width="40" height="60" rx="4" fill="#ffffff10" stroke="#94a3b8"/> <rect x="2" y="10" width="36" height="12" fill="#38bdf830" stroke="#38bdf8" stroke-width="1"/> <text x="20" y="-10" text-anchor="middle" font-family="monospace" font-size="10" fill="#94a3b8">Row i</text> <text x="50" y="35" font-family="sans-serif" font-size="16" fill="#f8fafc">×</text> <!-- Matrix B --> <rect x="70" y="0" width="60" height="60" rx="4" fill="#ffffff10" stroke="#94a3b8"/> <rect x="100" y="2" width="12" height="56" fill="#e879f930" stroke="#e879f9" stroke-width="1"/> <text x="106" y="-10" text-anchor="middle" font-family="monospace" font-size="10" fill="#94a3b8">Col j</text> <text x="145" y="35" font-family="sans-serif" font-size="16" fill="#f8fafc">=</text> <!-- Result C --> <rect x="170" y="0" width="40" height="60" rx="4" fill="#ffffff10" stroke="#94a3b8"/> <circle cx="190" cy="16" r="4" fill="#f59e0b" filter="url(#glow)"/> <text x="190" y="-10" text-anchor="middle" font-family="monospace" font-size="10" fill="#94a3b8">c[i,j]</text> </g> <text x="60" y="300" font-family="monospace" font-size="11" fill="#f8fafc">c_ij = Σ (a_ik * b_kj)</text> <text x="60" y="325" font-family="sans-serif" font-size="11" fill="#94a3b8" font-style="italic">Order matters: AB ≠ BA</text> <!-- Center Panel: The Geometry --> <rect x="320" y="115" width="540" height="320" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="340" y="145" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">02. GEOMETRIC MAPPING</text> <text x="340" y="165" font-family="sans-serif" font-size="12" fill="#94a3b8">Matrices as Linear Transformations</text> <!-- Coordinate System --> <g transform="translate(450, 310)"> <!-- Grid lines --> <path d="M -100 0 L 100 0 M 0 -100 L 0 100" stroke="#94a3b8" stroke-width="1" stroke-dasharray="4"/> <!-- Transformed Shape (Shear) --> <path d="M 0 0 L 60 0 L 90 -60 L 30 -60 Z" fill="#38bdf820" stroke="#38bdf8" stroke-width="2" filter="url(#glow)"/> <!-- Original Unit Square --> <rect x="0" y="-60" width="60" height="60" fill="none" stroke="#ffffff30" stroke-width="1" stroke-dasharray="2"/> <!-- Basis Vectors --> <line x1="0" y1="0" x2="60" y2="0" stroke="#fb7185" stroke-width="3" marker-end="url(#arrow-red)"/> <line x1="0" y1="0" x2="30" y2="-60" stroke="#fbbf24" stroke-width="3" marker-end="url(#arrow-gold)"/> <text x="65" y="15" font-family="monospace" font-size="12" font-weight="bold" fill="#fb7185">i-hat [1,0]</text> <text x="10" y="-75" font-family="monospace" font-size="12" font-weight="bold" fill="#fbbf24">j-hat [k,1]</text> </g> <!-- Transformation Matrix Label --> <g transform="translate(680, 200)"> <text x="0" y="0" font-family="serif" font-size="24" fill="#f8fafc">[</text> <text x="45" y="0" font-family="serif" font-size="24" fill="#f8fafc">]</text> <text x="12" y="-12" font-family="monospace" font-size="14" fill="#fb7185">1</text> <text x="12" y="8" font-family="monospace" font-size="14" fill="#fb7185">0</text> <text x="32" y="-12" font-family="monospace" font-size="14" fill="#fbbf24">k</text> <text x="32" y="8" font-family="monospace" font-size="14" fill="#fbbf24">1</text> <text x="-70" y="0" font-family="sans-serif" font-size="12" fill="#94a3b8">Shear Matrix:</text> </g> <!-- Bottom Panel: Applications --> <rect x="40" y="375" width="260" height="150" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="405" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">03. APPLICATIONS</text> <g transform="translate(60, 425)"> <circle cx="15" cy="15" r="12" fill="#38bdf820" stroke="#38bdf8"/> <path d="M 10 20 L 15 10 L 20 20 Z" fill="#38bdf8"/> <text x="40" y="18" font-family="sans-serif" font-size="12" fill="#f8fafc">Computer Graphics</text> <circle cx="15" cy="45" r="12" fill="#e879f920" stroke="#e879f9"/> <circle cx="12" cy="42" r="2" fill="#e879f9"/> <circle cx="18" cy="42" r="2" fill="#e879f9"/> <circle cx="15" cy="48" r="2" fill="#e879f9"/> <text x="40" y="48" font-family="sans-serif" font-size="12" fill="#f8fafc">Neural Networks</text> <circle cx="15" cy="75" r="12" fill="#f59e0b20" stroke="#f59e0b"/> <path d="M 10 75 H 20 M 15 70 V 80" stroke="#f59e0b" stroke-width="2"/> <text x="40" y="78" font-family="sans-serif" font-size="12" fill="#f8fafc">Quantum Computing</text> </g> <!-- Key Properties Table (Bottom Right) --> <g transform="translate(340, 455)"> <text x="0" y="0" font-family="sans-serif" font-weight="700" font-size="14" fill="#94a3b8">CORE PROPERTIES</text> <rect y="10" width="500" height="1" fill="#ffffff15"/> <text x="0" y="35" font-family="monospace" font-size="12" fill="#f8fafc">A(BC) = (AB)C</text> <text x="140" y="35" font-family="sans-serif" font-size="11" fill="#94a3b8">Associative</text> <text x="250" y="35" font-family="monospace" font-size="12" fill="#f8fafc">AI = IA = A</text> <text x="390" y="35" font-family="sans-serif" font-size="11" fill="#94a3b8">Identity</text> <text x="0" y="60" font-family="monospace" font-size="12" fill="#f8fafc">det(AB) = det(A)det(B)</text> <text x="140" y="60" font-family="sans-serif" font-size="11" fill="#94a3b8">Determinant Product</text> </g> <!-- Decorative elements --> <circle cx="850" cy="50" r="30" fill="none" stroke="#38bdf8" stroke-width="0.5" opacity="0.3"/> <circle cx="850" cy="50" r="20" fill="none" stroke="#38bdf8" stroke-width="0.5" opacity="0.5"/> <circle cx="850" cy="50" r="5" fill="#38bdf8" opacity="0.8"/> <!-- Markers --> <defs> <marker 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0v560M520 0v560M560 0v560M600 0v560M640 0v560M680 0v560M720 0v560M760 0v560M800 0v560M840 0v560"/> </g> <!-- Header Section --> <text x="450" y="60" text-anchor="middle" font-family="system-ui, sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">PROBABILITY &amp; COMBINATORICS</text> <text x="450" y="85" text-anchor="middle" font-family="system-ui, sans-serif" font-size="14" fill="#94a3b8" font-style="italic">The Mathematical Science of Uncertainty and Arrangement</text> <rect x="350" y="95" width="200" height="2" fill="url(#accent-orange)" rx="1"/> <!-- Main Panels --> <!-- Left Side: Combinatorics --> <rect x="40" y="120" width="400" height="400" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="65" y="155" font-family="system-ui, sans-serif" font-weight="700" font-size="20" fill="#f59e0b">Combinatorics</text> <text x="65" y="175" font-family="system-ui, sans-serif" font-size="12" fill="#94a3b8">The Art of Counting without Counting</text> <!-- Permutation Sub-card --> <rect x="60" y="200" width="360" height="135" rx="12" fill="#ffffff05"/> <text x="80" y="225" font-family="system-ui, sans-serif" font-weight="600" font-size="15" fill="#f8fafc">Permutations (Order Matters)</text> <text x="80" y="245" font-family="system-ui, sans-serif" font-size="12" fill="#cbd5e1">Arranging items in a specific sequence.</text> <text x="80" y="275" font-family="serif" font-size="18" fill="#e879f9" font-weight="bold">P(n, r) = n! / (n - r)!</text> <!-- Permutation Icon --> <g transform="translate(340, 240)"> <circle cx="0" cy="0" r="8" fill="#e879f9"/> <circle cx="25" cy="0" r="8" fill="#38bdf8"/> <circle cx="50" cy="0" r="8" fill="#f59e0b"/> <path d="M0 15 L50 15" stroke="#ffffff30" stroke-width="1" marker-end="url(#arrow)"/> <text x="25" y="35" text-anchor="middle" font-size="10" fill="#94a3b8" font-family="system-ui">Sequence</text> </g> <!-- Combination Sub-card --> <rect x="60" y="350" width="360" height="135" rx="12" fill="#ffffff05"/> <text x="80" y="375" font-family="system-ui, sans-serif" font-weight="600" font-size="15" fill="#f8fafc">Combinations (Order Doesn't Matter)</text> <text x="80" y="395" font-family="system-ui, sans-serif" font-size="12" fill="#cbd5e1">Selecting a group where sequence is irrelevant.</text> <text x="80" y="425" font-family="serif" font-size="18" fill="#38bdf8" font-weight="bold">C(n, r) = n! / [r!(n - r)!]</text> <!-- Combination Icon --> <g transform="translate(340, 390)"> <circle cx="10" cy="5" r="8" fill="#e879f9" opacity="0.8"/> <circle cx="35" cy="15" r="8" fill="#38bdf8" opacity="0.8"/> <circle cx="20" cy="30" r="8" fill="#f59e0b" opacity="0.8"/> <circle cx="22" cy="17" r="25" fill="none" stroke="#ffffff40" stroke-dasharray="2 2"/> <text x="22" y="55" text-anchor="middle" font-size="10" fill="#94a3b8" font-family="system-ui">Set/Group</text> </g> <!-- Right Side: Probability --> <rect x="460" y="120" width="400" height="400" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="485" y="155" font-family="system-ui, sans-serif" font-weight="700" font-size="20" fill="#38bdf8">Probability</text> <text x="485" y="175" font-family="system-ui, sans-serif" font-size="12" fill="#94a3b8">The Measure of Likelihood</text> <!-- Probability Rule 1 --> <rect x="480" y="200" width="360" height="135" rx="12" fill="#ffffff05"/> <text x="500" y="225" font-family="system-ui, sans-serif" font-weight="600" font-size="15" fill="#f8fafc">Addition Rule (OR Logic)</text> <text x="500" y="245" font-family="system-ui, sans-serif" font-size="12" fill="#cbd5e1">Probability of A or B occurring.</text> <text x="500" y="275" font-family="serif" font-size="16" fill="#f59e0b" font-weight="bold">P(A ∪ B) = P(A) + P(B) - P(A ∩ B)</text> <!-- Venn Icon --> <g transform="translate(760, 240)"> <circle cx="0" cy="0" r="20" fill="#f59e0b" opacity="0.4"/> <circle cx="25" cy="0" r="20" fill="#38bdf8" opacity="0.4"/> <text x="12" y="35" text-anchor="middle" font-size="10" fill="#94a3b8" font-family="system-ui">Inclusion-Exclusion</text> </g> <!-- Probability Rule 2 --> <rect x="480" y="350" width="360" height="135" rx="12" fill="#ffffff05"/> <text x="500" y="375" font-family="system-ui, sans-serif" font-weight="600" font-size="15" fill="#f8fafc">Multiplication Rule (AND Logic)</text> <text x="500" y="395" font-family="system-ui, sans-serif" font-size="12" fill="#cbd5e1">Probability of A and B occurring together.</text> <text x="500" y="425" font-family="serif" font-size="16" fill="#e879f9" font-weight="bold">P(A ∩ B) = P(A) × P(B|A)</text> <!-- Tree Icon --> <g transform="translate(760, 385)"> <line x1="0" y1="20" x2="20" y2="0" stroke="#ffffff40" stroke-width="2"/> <line x1="0" y1="20" x2="20" y2="40" stroke="#ffffff40" stroke-width="2"/> <circle cx="20" cy="0" r="5" fill="#e879f9"/> <circle cx="20" cy="40" r="5" fill="#38bdf8"/> <text x="10" y="55" text-anchor="middle" font-size="10" fill="#94a3b8" font-family="system-ui">Branching Events</text> </g> <!-- Central Connection --> <circle cx="450" cy="320" r="25" fill="#1e1b4b" stroke="#ffffff20" stroke-width="2"/> <path d="M440 310 L460 330 M460 310 L440 330" stroke="#f59e0b" stroke-width="3" stroke-linecap="round"/> <!-- Bottom Fact Bar --> <rect x="40" y="530" width="820" height="20" rx="4" fill="#ffffff05"/> <text x="450" y="544" text-anchor="middle" font-family="system-ui, sans-serif" font-size="10" fill="#64748b" text-transform="uppercase" letter-spacing="2">Fundamental Principle: If task A has n ways and B has m ways, then A then B has n × m ways.</text> <!-- Decorative Corner Elements --> <circle cx="20" cy="20" r="3" fill="#f59e0b" opacity="0.5"/> <circle cx="880" cy="20" r="3" fill="#38bdf8" opacity="0.5"/> <circle cx="20" cy="540" r="3" fill="#e879f9" opacity="0.5"/> <circle cx="880" cy="540" r="3" fill="#f59e0b" opacity="0.5"/> </svg>Probability and Combinatorics image 1Probability and Combinatorics - Precalculus - image 1https://www.getlykke.com/explore/public/precalculus-760426f2-c765-4f63-848e-73deae621c37/media/probability-and-combinatorics/svg/1Probability and Combinatorics diagram 1Probability and Combinatorics - Precalculus - diagram 1https://www.getlykke.com/explore/public/precalculus-760426f2-c765-4f63-848e-73deae621c37/media/probability-and-combinatorics/svg/2Probability and Combinatorics diagram 2Probability and Combinatorics - Precalculus - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <!-- Background and Definitions --> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" x="0" y="0" width="30" height="30" patternUnits="userSpaceOnUse"> <path d="M 30 0 L 0 0 0 30" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Base Layers --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="450" y="50" text-anchor="middle" font-family="system-ui, sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1px">SERIES &amp; THE BINOMIAL THEOREM</text> <path d="M 350 65 L 550 65" stroke="#38bdf8" stroke-width="2" stroke-linecap="round" opacity="0.6"/> <text x="450" y="85" text-anchor="middle" font-family="system-ui, sans-serif" font-size="14" fill="#94a3b8" font-style="italic">The Bridge Between Discrete Steps and Infinite Sums</text> <!-- Section 1: Sigma Notation (Top Left) --> <rect x="40" y="110" width="260" height="150" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="140" font-family="system-ui, sans-serif" font-weight="bold" font-size="18" fill="#38bdf8">Σ Notation</text> <!-- Sigma Graphic --> <g transform="translate(140, 160)"> <path d="M 0 0 L 40 0 L 15 25 L 40 50 L 0 50" fill="none" stroke="#f8fafc" stroke-width="4" stroke-linejoin="round"/> <text x="20" y="-10" text-anchor="middle" font-family="serif" font-size="14" fill="#f59e0b">n</text> <text x="20" y="65" text-anchor="middle" font-family="serif" font-size="14" fill="#f59e0b">i = k</text> <text x="50" y="32" font-family="serif" font-size="20" fill="#f8fafc">aᵢ</text> <!-- Labels --> <text x="-70" y="30" font-family="system-ui, sans-serif" font-size="10" fill="#94a3b8">SUMMATION</text> <line x1="-5" y1="-15" x2="10" y2="-15" stroke="#94a3b8" stroke-width="1"/> <text x="-70" y="-12" font-family="system-ui, sans-serif" font-size="10" fill="#94a3b8">UPPER LIMIT</text> </g> <!-- Section 2: Binomial Theorem (Top Right) --> <rect x="320" y="110" width="540" height="150" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="340" y="140" font-family="system-ui, sans-serif" font-weight="bold" font-size="18" fill="#f59e0b">The Binomial Theorem</text> <text x="340" y="170" font-family="serif" font-size="22" fill="#f8fafc">(a + b)ⁿ = Σ <tspan fill="#f59e0b">ⁿCₖ</tspan> aⁿ⁻ᵏ bᵏ</text> <!-- Pascal's Triangle Visual --> <g transform="translate(680, 135)" opacity="0.8"> <text x="0" y="0" text-anchor="middle" font-family="serif" font-size="12" fill="#94a3b8">1</text> <text x="-15" y="20" text-anchor="middle" font-family="serif" font-size="12" fill="#94a3b8">1</text> <text x="15" y="20" text-anchor="middle" font-family="serif" font-size="12" fill="#94a3b8">1</text> <text x="-30" y="40" text-anchor="middle" font-family="serif" font-size="12" fill="#94a3b8">1</text> <text x="0" y="40" text-anchor="middle" font-family="serif" font-size="12" fill="#f59e0b" font-weight="bold">2</text> <text x="30" y="40" text-anchor="middle" font-family="serif" font-size="12" fill="#94a3b8">1</text> <text x="-45" y="60" text-anchor="middle" font-family="serif" font-size="12" fill="#94a3b8">1</text> <text x="-15" y="60" text-anchor="middle" font-family="serif" font-size="12" fill="#f59e0b" font-weight="bold">3</text> <text x="15" y="60" text-anchor="middle" font-family="serif" font-size="12" fill="#f59e0b" font-weight="bold">3</text> <text x="45" y="60" text-anchor="middle" font-family="serif" font-size="12" fill="#94a3b8">1</text> <text x="0" y="85" text-anchor="middle" font-family="system-ui, sans-serif" font-size="10" fill="#f59e0b">PASCAL'S TRIANGLE</text> </g> <!-- Section 3: Arithmetic Series (Bottom Left) --> <rect x="40" y="280" width="400" height="240" rx="16" fill="#ffffff0a" stroke="#38bdf844"/> <text x="60" y="315" font-family="system-ui, sans-serif" font-weight="bold" font-size="20" fill="#38bdf8">Arithmetic Series</text> <text x="60" y="335" font-family="system-ui, sans-serif" font-size="12" fill="#94a3b8">Constant difference (d) | Linear Growth</text> <!-- Formula --> <rect x="60" y="350" width="180" height="45" rx="8" fill="#38bdf815"/> <text x="75" y="380" font-family="serif" font-size="18" fill="#f8fafc">Sₙ = ⁿ/₂ (a₁ + aₙ)</text> <!-- Gauss Visualization --> <g transform="translate(60, 420)"> <rect x="0" y="40" width="20" height="20" fill="#38bdf8" opacity="0.4"/> <rect x="25" y="30" width="20" height="30" fill="#38bdf8" opacity="0.5"/> <rect x="50" y="20" width="20" height="40" fill="#38bdf8" opacity="0.7"/> <rect x="75" y="10" width="20" height="50" fill="#38bdf8" opacity="0.9"/> <rect x="100" y="0" width="20" height="60" fill="#38bdf8"/> <text x="0" y="80" font-family="system-ui, sans-serif" font-size="11" fill="#94a3b8">Gauss's Trick: Pairing terms</text> </g> <!-- Section 4: Geometric Series (Bottom Right) --> <rect x="460" y="280" width="400" height="240" rx="16" fill="#ffffff0a" stroke="#e879f944"/> <text x="480" y="315" font-family="system-ui, sans-serif" font-weight="bold" font-size="20" fill="#e879f9">Geometric Series</text> <text x="480" y="335" font-family="system-ui, sans-serif" font-size="12" fill="#94a3b8">Common ratio (r) | Exponential Growth</text> <!-- Formula --> <rect x="480" y="350" width="180" height="45" rx="8" fill="#e879f915"/> <text x="495" y="380" font-family="serif" font-size="18" fill="#f8fafc">S = a₁ / (1 - r)</text> <text x="670" y="378" font-family="system-ui, sans-serif" font-size="11" fill="#e879f9" font-weight="bold">IF |r| &lt; 1</text> <!-- Convergence Visualization --> <g transform="translate(480, 420)"> <rect x="0" y="0" width="60" height="60" fill="#e879f9" opacity="0.8"/> <rect x="60" y="0" width="30" height="60" fill="#e879f9" opacity="0.6"/> <rect x="90" y="0" width="15" height="60" fill="#e879f9" opacity="0.4"/> <rect x="105" y="0" width="7.5" height="60" fill="#e879f9" opacity="0.2"/> <path d="M 0 65 L 120 65" stroke="#94a3b8" stroke-dasharray="4 2"/> <text x="0" y="80" font-family="system-ui, sans-serif" font-size="11" fill="#94a3b8">Convergence: Approaching a limit</text> </g> <!-- Applications Footer --> <g transform="translate(40, 535)"> <text x="0" y="0" font-family="system-ui, sans-serif" font-size="10" font-weight="bold" fill="#38bdf8" letter-spacing="1px">APPLICATIONS:</text> <text x="100" y="0" font-family="system-ui, sans-serif" font-size="10" fill="#94a3b8">FINANCE (Annuities)</text> <circle cx="210" cy="-3" r="2" fill="#ffffff33"/> <text x="225" y="0" font-family="system-ui, sans-serif" font-size="10" fill="#94a3b8">PHYSICS (Wave Harmonics)</text> <circle cx="370" cy="-3" r="2" fill="#ffffff33"/> <text x="385" y="0" font-family="system-ui, sans-serif" font-size="10" fill="#94a3b8">COMP. SCI (Complexity Analysis)</text> </g> </svg>Series and Binomial Theorem image 1Series and Binomial Theorem - Precalculus - image 1https://www.getlykke.com/explore/public/precalculus-760426f2-c765-4f63-848e-73deae621c37/media/series-and-binomial-theorem/svg/1Series and Binomial Theorem diagram 1Series and Binomial Theorem - Precalculus - diagram 1https://www.getlykke.com/explore/public/precalculus-760426f2-c765-4f63-848e-73deae621c37/media/series-and-binomial-theorem/svg/2Series and Binomial Theorem diagram 2Series and Binomial Theorem - Precalculus - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <!-- Background and Definitions --> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="30" height="30" patternUnits="userSpaceOnUse"> <circle cx="1" cy="1" r="1" fill="#ffffff10"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Base Layer --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="40" y="60" font-family="system-ui, sans-serif" font-weight="800" font-size="32" fill="#f8fafc">LIMITS &amp; CONTINUITY</text> <text x="40" y="85" font-family="system-ui, sans-serif" font-size="16" fill="#94a3b8">The rigorous foundation of modern Calculus</text> <rect x="40" y="105" width="120" height="4" rx="2" fill="#38bdf8"/> <!-- Left Column: The Limit Concept --> <rect x="40" y="130" width="260" height="390" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="165" font-family="system-ui, sans-serif" font-weight="700" font-size="18" fill="#38bdf8">I. THE LIMIT</text> <text x="60" y="185" font-family="system-ui, sans-serif" font-size="13" fill="#cbd5e1">Behavior near a point, not at it.</text> <!-- Limit Diagram --> <g transform="translate(60, 210)"> <path d="M 0 100 Q 50 80 100 20 T 200 0" fill="none" stroke="#38bdf8" stroke-width="3"/> <circle cx="100" cy="20" r="5" fill="none" stroke="#38bdf8" stroke-width="2"/> <path d="M 80 20 L 92 20" stroke="#f59e0b" stroke-width="2" marker-end="url(#arrow)"/> <path d="M 120 20 L 108 20" stroke="#f59e0b" stroke-width="2"/> <text x="105" y="45" font-family="serif" font-style="italic" font-size="14" fill="#f8fafc">L</text> <text x="95" y="115" font-family="serif" font-style="italic" font-size="14" fill="#f8fafc">c</text> <line x1="0" y1="100" x2="220" y2="100" stroke="#94a3b8" stroke-dasharray="4"/> </g> <text x="60" y="345" font-family="system-ui, sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Formal Definition (ε-δ)</text> <rect x="60" y="355" width="220" height="145" rx="8" fill="#ffffff05"/> <text x="70" y="380" font-family="serif" font-size="13" fill="#94a3b8">For every ε &gt; 0, there exists</text> <text x="70" y="398" font-family="serif" font-size="13" fill="#94a3b8">a δ &gt; 0 such that:</text> <text x="70" y="425" font-family="serif" font-weight="bold" font-size="15" fill="#f59e0b">0 &lt; |x - c| &lt; δ</text> <text x="70" y="445" font-family="serif" font-size="13" fill="#94a3b8">implies</text> <text x="70" y="472" font-family="serif" font-weight="bold" font-size="15" fill="#e879f9">|f(x) - L| &lt; ε</text> <!-- Middle Column: Continuity --> <rect x="320" y="130" width="260" height="390" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="340" y="165" font-family="system-ui, sans-serif" font-weight="700" font-size="18" fill="#e879f9">II. CONTINUITY</text> <text x="340" y="185" font-family="system-ui, sans-serif" font-size="13" fill="#cbd5e1">The "Unbroken Path" test.</text> <!-- Continuity Checklist --> <g transform="translate(340, 220)"> <rect width="220" height="40" rx="8" fill="#38bdf820"/> <circle cx="20" cy="20" r="8" fill="#38bdf8"/> <text x="16" y="24" font-family="sans-serif" font-size="10" font-weight="bold" fill="#0f172a">1</text> <text x="40" y="25" font-family="serif" font-size="14" fill="#f8fafc">f(c) is defined</text> <rect y="55" width="220" height="40" rx="8" fill="#f59e0b20"/> <circle cx="20" cy="75" r="8" fill="#f59e0b"/> <text x="16" y="79" font-family="sans-serif" font-size="10" font-weight="bold" fill="#0f172a">2</text> <text x="40" y="80" font-family="serif" font-size="14" fill="#f8fafc">lim f(x) exists</text> <rect y="110" width="220" height="40" rx="8" fill="#e879f920"/> <circle cx="20" cy="130" r="8" fill="#e879f9"/> <text x="16" y="134" font-family="sans-serif" font-size="10" font-weight="bold" fill="#0f172a">3</text> <text x="40" y="135" font-family="serif" font-size="14" fill="#f8fafc">lim f(x) = f(c)</text> </g> <text x="340" y="400" font-family="system-ui, sans-serif" font-size="12" fill="#94a3b8" width="220"> <tspan x="340" dy="1.4em">A function is continuous on an</tspan> <tspan x="340" dy="1.4em">interval if it is continuous at</tspan> <tspan x="340" dy="1.4em">every point in that interval.</tspan> </text> <path d="M 340 470 Q 450 440 540 500" fill="none" stroke="#e879f9" stroke-width="4" stroke-linecap="round" filter="url(#glow)"/> <!-- Right Column: Discontinuities --> <rect x="600" y="130" width="260" height="390" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="620" y="165" font-family="system-ui, sans-serif" font-weight="700" font-size="18" fill="#f59e0b">III. DISCONTINUITIES</text> <!-- Discontinuity Type 1 --> <g transform="translate(620, 200)"> <text x="0" y="0" font-family="system-ui, sans-serif" font-weight="bold" font-size="12" fill="#f8fafc">REMOVABLE (HOLE)</text> <path d="M 0 40 Q 40 20 80 40" fill="none" stroke="#94a3b8" stroke-width="2"/> <circle cx="40" cy="30" r="4" fill="#0f172a" stroke="#f59e0b" stroke-width="2"/> <text x="90" y="35" font-family="system-ui, sans-serif" font-size="11" fill="#94a3b8">Limit exists,</text> <text x="90" y="48" font-family="system-ui, sans-serif" font-size="11" fill="#94a3b8">point is missing.</text> </g> <!-- Discontinuity Type 2 --> <g transform="translate(620, 290)"> <text x="0" y="0" font-family="system-ui, sans-serif" font-weight="bold" font-size="12" fill="#f8fafc">JUMP</text> <path d="M 0 40 L 40 40" fill="none" stroke="#94a3b8" stroke-width="2"/> <path d="M 40 20 L 80 20" fill="none" stroke="#94a3b8" stroke-width="2"/> <circle cx="40" cy="40" r="3" fill="#f59e0b"/> <circle cx="40" cy="20" r="3" fill="none" stroke="#f59e0b" stroke-width="1.5"/> <text x="90" y="25" font-family="system-ui, sans-serif" font-size="11" fill="#94a3b8">Left limit ≠</text> <text x="90" y="38" font-family="system-ui, sans-serif" font-size="11" fill="#94a3b8">Right limit.</text> </g> <!-- Discontinuity Type 3 --> <g transform="translate(620, 380)"> <text x="0" y="0" font-family="system-ui, sans-serif" font-weight="bold" font-size="12" fill="#f8fafc">INFINITE (ASYMPTOTE)</text> <line x1="40" y1="10" x2="40" y2="70" stroke="#f59e0b" stroke-dasharray="3"/> <path d="M 10 70 Q 15 20 35 15" fill="none" stroke="#94a3b8" stroke-width="2"/> <path d="M 70 70 Q 65 20 45 15" fill="none" stroke="#94a3b8" stroke-width="2"/> <text x="90" y="35" font-family="system-ui, sans-serif" font-size="11" fill="#94a3b8">Approaches</text> <text x="90" y="48" font-family="system-ui, sans-serif" font-size="11" fill="#94a3b8">± Infinity.</text> </g> <!-- Footer Stats/Facts --> <rect x="620" y="475" width="220" height="30" rx="15" fill="#38bdf815"/> <text x="730" y="495" text-anchor="middle" font-family="system-ui, sans-serif" font-weight="bold" font-size="12" fill="#38bdf8">SQUEEZE THEOREM: g(x) ≤ f(x) ≤ h(x)</text> <!-- Decorative Elements --> <circle cx="850" cy="50" r="30" fill="#e879f910"/> <circle cx="850" cy="50" r="15" fill="#e879f920"/> <path d="M 830 50 L 870 50 M 850 30 L 850 70" stroke="#e879f940" stroke-width="1"/> </svg>Limits and Continuity image 1Limits and Continuity - Precalculus - image 1https://www.getlykke.com/explore/public/precalculus-760426f2-c765-4f63-848e-73deae621c37/media/limits-and-continuity/svg/1Limits and Continuity diagram 1Limits and Continuity - Precalculus - diagram 1https://www.getlykke.com/explore/public/precalculus-760426f2-c765-4f63-848e-73deae621c37/media/limits-and-continuity/svg/2Limits and Continuity diagram 2Limits and Continuity - Precalculus - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="3" result="blur"/> <feComposite in="SourceGraphic" in2="blur" operator="over"/> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Decorative Background Elements --> <circle cx="850" cy="50" r="120" fill="#38bdf805"/> <circle cx="50" cy="510" r="80" fill="#e879f905"/> <!-- Header Section --> <text x="450" y="60" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="2">PRECALCULUS COURSE CHALLENGE</text> <text x="450" y="85" text-anchor="middle" font-family="sans-serif" font-weight="400" font-size="14" fill="#94a3b8" letter-spacing="1">A RIGOROUS SYNTHESIS OF ALGEBRAIC &amp; 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Vectors &amp; Matrices</text> <path d="M 0 30 L 40 10 M 35 10 L 40 10 L 40 15" stroke="#e879f9" stroke-width="2" fill="none"/> <text x="60" y="20" font-family="sans-serif" font-size="11" fill="#94a3b8">Linear Transformations</text> </g> <!-- Footer --> <text x="450" y="545" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#475569" letter-spacing="1">PRECALCULUS CURRICULUM • DIAGNOSTIC ENGINE v2.4 • MASTERY-BASED ASSESSMENT</text> </svg>Precalculus Course Challenge image 1Precalculus Course Challenge - Precalculus - image 1https://www.getlykke.com/explore/public/precalculus-760426f2-c765-4f63-848e-73deae621c37/media/course-challenge/svg/1Precalculus Course Challenge diagram 1Precalculus Course Challenge - Precalculus - diagram 1https://www.getlykke.com/explore/public/precalculus-760426f2-c765-4f63-848e-73deae621c37/media/course-challenge/svg/2Precalculus Course Challenge diagram 2Precalculus Course Challenge - Precalculus - diagram 2https://www.getlykke.com/explore/public/precalculus-760426f2-c765-4f63-848e-73deae621c37/media/course-challenge/svg/3Precalculus Course Challenge diagram 3Precalculus Course Challenge - Precalculus - diagram 3https://www.getlykke.com/explore/public/the-word-on-college-reading-and-4b06efe6-170a-4931-9a6e-efb6fa22f14d2026-04-20T04:56:52.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="3" result="blur"/> <feComposite in="SourceGraphic" in2="blur" operator="over"/> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Header Section --> <text x="450" y="55" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-weight="800" font-size="32" letter-spacing="1">THE ARCHITECTURE OF COLLEGE LITERACY</text> <text x="450" y="80" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="14" font-weight="400">Transitioning from Passive Consumption to Strategic Interrogation</text> <line x1="300" y1="95" x2="600" y2="95" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 4"/> <!-- Left Panel: The Spectrum of Text --> <rect x="40" y="120" width="260" height="300" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="150" fill="#f59e0b" font-family="sans-serif" font-weight="700" font-size="18">THE SPECTRUM OF "TEXT"</text> <text x="60" y="170" fill="#94a3b8" font-family="sans-serif" font-size="11">Any artifact conveying meaning</text> <!-- Text Type 1 --> <circle cx="75" cy="205" r="15" fill="#38bdf820" stroke="#38bdf8" stroke-width="1"/> <rect x="68" y="200" width="14" height="10" fill="none" stroke="#38bdf8" stroke-width="1.5"/> <text x="100" y="202" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="13">Traditional</text> <text x="100" y="215" fill="#94a3b8" font-family="sans-serif" font-size="11">Journals, Monographs, Essays</text> <!-- Text Type 2 --> <circle cx="75" cy="255" r="15" fill="#e879f920" stroke="#e879f9" stroke-width="1"/> <circle cx="75" cy="255" r="5" fill="none" stroke="#e879f9" stroke-width="1.5"/> <text x="100" y="252" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="13">Visual &amp; 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Subhead Analysis</text> <text x="620" y="215" fill="#38bdf8" font-weight="bold">02</text> <text x="645" y="215" fill="#f8fafc">Author Credentialing</text> <text x="620" y="245" fill="#38bdf8" font-weight="bold">03</text> <text x="645" y="245" fill="#f8fafc">Abstract &amp; Conclusion Scan</text> <text x="620" y="275" fill="#38bdf8" font-weight="bold">04</text> <text x="645" y="275" fill="#f8fafc">Visual &amp; Caption Review</text> <text x="620" y="305" fill="#38bdf8" font-weight="bold">05</text> <text x="645" y="305" fill="#f8fafc">Topic Sentence Mapping</text> </g> <rect x="620" y="335" width="220" height="60" rx="8" fill="#38bdf810" stroke="#38bdf830"/> <text x="630" y="355" fill="#38bdf8" font-family="sans-serif" font-weight="bold" font-size="11">GOAL:</text> <text x="630" y="372" fill="#94a3b8" font-family="sans-serif" font-size="11">Reduce cognitive load by building</text> <text x="630" y="385" fill="#94a3b8" font-family="sans-serif" font-size="11">a mental schema before deep reading.</text> <!-- Bottom Panel: Layers of Meaning --> <rect x="40" y="440" width="820" height="90" rx="16" fill="#ffffff15" stroke="#ffffff20"/> <text x="60" y="465" fill="#f8fafc" font-family="sans-serif" font-weight="700" font-size="16">LAYERS OF SEMANTIC DENSITY</text> <g transform="translate(60, 485)"> <rect width="230" height="30" rx="4" fill="#0f172a"/> <text x="115" y="20" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="12">1. SURFACE (Literal)</text> <path d="M240 15 L260 15" stroke="#94a3b8" stroke-width="2" marker-end="url(#arrow)"/> <rect x="270" width="230" height="30" rx="4" fill="#0f172a"/> <text x="385" y="20" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="12">2. SUBTEXTUAL (Implicit)</text> <path d="M510 15 L530 15" stroke="#94a3b8" stroke-width="2"/> <rect x="540" width="230" height="30" rx="4" fill="#0f172a"/> <text x="655" y="20" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="12">3. CONTEXTUAL (Extrinsic)</text> </g> <!-- Decorative Accents --> <circle cx="850" cy="50" r="30" fill="none" stroke="#f59e0b" stroke-width="0.5" opacity="0.3"/> <circle cx="850" cy="50" r="20" fill="none" stroke="#f59e0b" stroke-width="0.5" opacity="0.5"/> <rect x="20" y="20" width="40" height="40" fill="none" stroke="#38bdf8" stroke-width="0.5" opacity="0.3" transform="rotate(45 40 40)"/> </svg>Introduction to College Literacy image 1Introduction to College Literacy - The Word on College Reading and Writing - image 1https://www.getlykke.com/explore/public/the-word-on-college-reading-and-4b06efe6-170a-4931-9a6e-efb6fa22f14d/media/intro-to-college-literacy/svg/1Introduction to College Literacy diagram 1Introduction to College Literacy - The Word on College Reading and Writing - diagram 1https://www.getlykke.com/explore/public/the-word-on-college-reading-and-4b06efe6-170a-4931-9a6e-efb6fa22f14d/media/intro-to-college-literacy/svg/2Introduction to College Literacy diagram 2Introduction to College Literacy - The Word on College Reading and Writing - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10"/> </pattern> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#f59e0b"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Subtle Grid Lines --> <path d="M 0 100 H 900 M 0 200 H 900 M 0 300 H 900 M 0 400 H 900 M 0 500 H 900" stroke="#ffffff05" stroke-width="1"/> <path d="M 100 0 V 560 M 200 0 V 560 M 300 0 V 560 M 400 0 V 560 M 500 0 V 560 M 600 0 V 560 M 700 0 V 560 M 800 0 V 560" stroke="#ffffff05" stroke-width="1"/> <!-- Header --> <text x="450" y="50" font-family="Arial, sans-serif" font-weight="800" font-size="32" fill="#f8fafc" text-anchor="middle" letter-spacing="1">FOUNDATIONS OF READING HABITS</text> <text x="450" y="75" font-family="Arial, sans-serif" font-size="14" fill="#94a3b8" text-anchor="middle" letter-spacing="2">PHYSIOLOGICAL &amp; ENVIRONMENTAL INFRASTRUCTURE</text> <rect x="350" y="85" width="200" height="2" fill="url(#accentGrad)"/> <!-- Left Panel: Chronobiology --> <rect x="40" y="110" width="400" height="410" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="140" font-family="Arial, sans-serif" font-weight="bold" font-size="18" fill="#38bdf8">I. DIURNAL OPTIMIZATION</text> <!-- The Wave Visualization --> <path d="M 70 280 Q 120 180 170 250 T 270 320 T 370 200" fill="none" stroke="#f59e0b" stroke-width="3" stroke-linecap="round"/> <circle cx="120" cy="195" r="5" fill="#f59e0b"/> <!-- Peak --> <circle cx="270" cy="320" r="5" fill="#38bdf8"/> <!-- Trough --> <text x="120" y="180" font-family="Arial, sans-serif" font-size="11" fill="#f59e0b" text-anchor="middle">PEAK (Deep Work)</text> <text x="270" y="340" font-family="Arial, sans-serif" font-size="11" fill="#38bdf8" text-anchor="middle">TROUGH (Admin)</text> <!-- Chronotype Table --> <g transform="translate(60, 370)"> <rect width="360" height="130" rx="8" fill="#00000020"/> <text x="10" y="25" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#f8fafc">CHRONOTYPE</text> <text x="130" y="25" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#f8fafc">PEAK WINDOW</text> <text x="250" y="25" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#f8fafc">TASK TYPE</text> <line x1="10" y1="35" x2="350" y2="35" stroke="#ffffff20"/> <text x="10" y="55" font-family="Arial, sans-serif" font-size="12" fill="#f59e0b">Lark</text> <text x="130" y="55" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">07:00 – 11:00</text> <text x="250" y="55" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">Theory / Jargon</text> <text x="10" y="80" font-family="Arial, sans-serif" font-size="12" fill="#38bdf8">Third Bird</text> <text x="130" y="80" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">09:00 – 12:00</text> <text x="250" y="80" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">Critical Analysis</text> <text x="10" y="105" font-family="Arial, sans-serif" font-size="12" fill="#e879f9">Owl</text> <text x="130" y="105" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">18:00 – 23:00</text> <text x="250" y="105" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">Research / Synthesis</text> </g> <!-- Right Panel: Sensory Architecture --> <rect x="460" y="110" width="400" height="410" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="480" y="140" font-family="Arial, sans-serif" font-weight="bold" font-size="18" fill="#e879f9">II. SENSORY ARCHITECTURE</text> <!-- Pillar 1: Acoustic --> <g transform="translate(480, 165)"> <rect width="360" height="70" rx="12" fill="#ffffff05"/> <circle cx="30" cy="35" r="18" fill="#e879f920" stroke="#e879f9" stroke-width="1"/> <!-- Ear Icon --> <path d="M 25 30 Q 35 20 40 35 Q 40 45 30 45" fill="none" stroke="#e879f9" stroke-width="2"/> <text x="60" y="30" font-family="Arial, sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">Acoustic Control</text> <text x="60" y="48" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Utilize Pink Noise to bypass the Irrelevant Sound Effect.</text> </g> <!-- Pillar 2: Environment --> <g transform="translate(480, 250)"> <rect width="360" height="70" rx="12" fill="#ffffff05"/> <circle cx="30" cy="35" r="18" fill="#38bdf820" stroke="#38bdf8" stroke-width="1"/> <!-- Lamp Icon --> <path d="M 30 22 L 22 38 L 38 38 Z" fill="none" stroke="#38bdf8" stroke-width="2"/> <text x="60" y="30" font-family="Arial, sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">Context-Dependent Memory</text> <text x="60" y="48" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Dedicate specific zones for reading to trigger focus cues.</text> </g> <!-- Pillar 3: Cognitive Load --> <g transform="translate(480, 335)"> <rect width="360" height="70" rx="12" fill="#ffffff05"/> <circle cx="30" cy="35" r="18" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1"/> <!-- Brain Icon --> <circle cx="27" cy="32" r="4" fill="none" stroke="#f59e0b" stroke-width="1.5"/> <circle cx="33" cy="32" r="4" fill="none" stroke="#f59e0b" stroke-width="1.5"/> <circle cx="30" cy="38" r="4" fill="none" stroke="#f59e0b" stroke-width="1.5"/> <text x="60" y="30" font-family="Arial, sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">Cognitive Leakage</text> <text x="60" y="48" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Eliminate digital friction to preserve working memory.</text> </g> <!-- Footer Tip --> <rect x="480" y="425" width="360" height="75" rx="12" fill="#f59e0b10" stroke="#f59e0b30"/> <text x="495" y="445" font-family="Arial, sans-serif" font-weight="bold" font-size="13" fill="#f59e0b">PRO TIP: THE ADENOSINE TRAP</text> <text x="495" y="465" font-family="Arial, sans-serif" font-size="11" fill="#f8fafc">Avoid "Heroic All-Nighters." 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y="80" font-family="Arial, sans-serif" font-size="13" fill="#f8fafc">Outcome: Structural Recall</text> <path d="M0 100 L 20 85 L 40 110 L 60 90 L 80 115 L 100 80 L 120 105 L 140 70" stroke="#f59e0b" stroke-width="2" fill="none"/> </g> <!-- Right Card: Annotation Legend --> <rect x="460" y="120" width="400" height="210" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="480" y="150" font-family="Arial, sans-serif" font-weight="bold" font-size="18" fill="#e879f9">The Taxonomy of Marks</text> <g transform="translate(480, 175)"> <!-- Legend Items --> <rect x="0" y="0" width="30" height="20" rx="4" fill="#f59e0b20" stroke="#f59e0b"/> <text x="7" y="15" font-family="monospace" font-size="14" font-weight="bold" fill="#f59e0b">[T]</text> <text x="45" y="15" font-family="Arial, sans-serif" font-size="13" fill="#f8fafc">Thesis / Central Claim</text> <rect x="0" y="35" width="30" height="20" rx="4" fill="#38bdf820" stroke="#38bdf8"/> <text x="7" y="50" font-family="monospace" font-size="14" 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font-size="20" fill="#f8fafc">Dialectic Note-Taking System</text> <line x1="450" y1="400" x2="450" y2="510" stroke="#ffffff20" stroke-width="1" stroke-dasharray="5 5"/> <!-- Left Column --> <g transform="translate(60, 405)"> <text x="185" y="20" text-anchor="middle" font-family="Arial, sans-serif" font-size="14" font-weight="bold" fill="#38bdf8">LEFT: TEXTUAL EVIDENCE</text> <text x="185" y="40" text-anchor="middle" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">"What the author says"</text> <rect x="20" y="55" width="330" height="50" rx="8" fill="#ffffff05" stroke="#38bdf840"/> <text x="35" y="75" font-family="Arial, sans-serif" font-size="12" fill="#cbd5e1" font-style="italic">"The black-box nature of neural networks..."</text> <text x="35" y="92" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Direct quotes, data, and page numbers.</text> </g> <!-- Right Column --> <g transform="translate(460, 405)"> <text x="185" y="20" text-anchor="middle" font-family="Arial, sans-serif" font-size="14" font-weight="bold" fill="#e879f9">RIGHT: PERSONAL RESPONSE</text> <text x="185" y="40" text-anchor="middle" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">"What I think about it"</text> <rect x="20" y="55" width="330" height="50" rx="8" fill="#ffffff05" stroke="#e879f940"/> <text x="35" y="75" font-family="Arial, sans-serif" font-size="12" fill="#cbd5e1">Can we assign legal liability to code?</text> <text x="35" y="92" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Critiques, connections, and questions.</text> </g> <!-- Decorative Elements --> <circle cx="450" cy="340" r="25" fill="#1e1b4b" stroke="#38bdf8" stroke-width="2"/> <path d="M440 335 L 450 345 L 460 335" fill="none" stroke="#38bdf8" stroke-width="2"/> <g opacity="0.3"> <circle cx="850" cy="50" r="40" fill="none" stroke="#f59e0b" stroke-width="1"/> <circle cx="850" cy="50" r="30" fill="none" stroke="#f59e0b" stroke-width="0.5"/> <circle cx="50" 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stroke="#ffffff15"/> <text x="60" y="140" font-family="sans-serif" font-size="18" font-weight="bold" fill="#38bdf8">I. THE ARCHITECTURE OF MEANING</text> <!-- Iceberg Graphic --> <path d="M240 180 L200 230 L280 230 Z" fill="#f8fafc20" stroke="#f8fafc" stroke-width="1.5"/> <!-- Above --> <path d="M200 235 L170 330 L310 330 L280 235 Z" fill="#38bdf830" stroke="#38bdf8" stroke-width="1.5"/> <!-- Below --> <line x1="160" y1="232" x2="320" y2="232" stroke="#f59e0b" stroke-width="2" stroke-dasharray="4 2"/> <text x="330" y="210" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">SURFACE LAYER</text> <text x="330" y="225" font-family="sans-serif" font-size="11" fill="#94a3b8">Literal facts, "The What"</text> <text x="330" y="280" font-family="sans-serif" font-size="13" font-weight="bold" fill="#38bdf8">DEEP LAYER</text> <text x="330" y="295" font-family="sans-serif" font-size="11" fill="#94a3b8">Themes, Symbols, "The Why"</text> <!-- Panel 2: The Reader-Text Conversation --> <rect x="460" y="110" width="400" height="260" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="480" y="140" font-family="sans-serif" font-size="18" font-weight="bold" fill="#e879f9">II. 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rx="8" fill="#ffffff05"/> <text x="10" y="20" font-family="sans-serif" font-size="12" font-weight="bold" fill="#e879f9">TONE</text> <text x="10" y="40" font-family="sans-serif" font-size="11" fill="#94a3b8">The author's attitude</text> <text x="10" y="55" font-family="sans-serif" font-size="11" fill="#94a3b8">toward the subject.</text> </g> <g transform="translate(640, 435)"> <rect width="160" height="70" rx="8" fill="#ffffff05"/> <text x="10" y="20" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f59e0b">AUDIENCE</text> <text x="10" y="40" font-family="sans-serif" font-size="11" fill="#94a3b8">Assumptions made</text> <text x="10" y="55" font-family="sans-serif" font-size="11" fill="#94a3b8">about the reader.</text> </g> <!-- Decorative Elements --> <circle cx="850" cy="50" r="30" fill="none" stroke="#ffffff10" stroke-width="8"/> <circle cx="50" cy="510" r="20" fill="none" stroke="#38bdf820" stroke-width="4"/> <path d="M800 380 L840 420" stroke="#ffffff05" 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Card 1: Reading to Write (Top Left) --> <rect x="50" y="130" width="260" height="140" rx="16" fill="#ffffff10"/> <circle cx="80" cy="160" r="15" fill="#f59e0b" opacity="0.2"/> <path d="M72 160 L80 168 L88 152" fill="none" stroke="#f59e0b" stroke-width="2.5"/> <text x="105" y="165" font-family="sans-serif" font-weight="700" font-size="18" fill="#f8fafc">Reading to Write</text> <text x="70" y="195" font-family="sans-serif" font-size="12" fill="#94a3b8"> <tspan x="70" dy="0">• Analyze existing structures</tspan> <tspan x="70" dy="18">• Build a mental Schema</tspan> <tspan x="70" dy="18">• Identify Author's Purpose</tspan> <tspan x="70" dy="18">• Active Annotation</tspan> </text> <!-- Card 2: Rhetorical Framework (Top Right) --> <rect x="590" y="130" width="260" height="140" rx="16" fill="#ffffff10"/> <circle cx="620" cy="160" r="15" fill="#e879f9" opacity="0.2"/> <path d="M612 165 L620 150 L628 165 Z" fill="none" stroke="#e879f9" stroke-width="2"/> <text x="645" y="165" 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<tspan x="610" dy="18">• Information Literacy</tspan> <tspan x="610" dy="18">• Mapping connections</tspan> <tspan x="610" dy="18">• Moving beyond "one-and-done"</tspan> </text> <!-- Card 4: Iteration (Bottom Left) --> <rect x="50" y="330" width="260" height="140" rx="16" fill="#ffffff10"/> <circle cx="80" cy="360" r="15" fill="#10b981" opacity="0.2"/> <path d="M72 360 A8 8 0 1 1 88 360 A8 8 0 1 1 72 360" fill="none" stroke="#10b981" stroke-width="2"/> <text x="105" y="365" font-family="sans-serif" font-weight="700" font-size="18" fill="#f8fafc">Iterative Refinement</text> <text x="70" y="395" font-family="sans-serif" font-size="12" fill="#94a3b8"> <tspan x="70" dy="0">• Synthesis of evidence</tspan> <tspan x="70" dy="18">• Multiple layers of labor</tspan> <tspan x="70" dy="18">• Critical self-reflection</tspan> <tspan x="70" dy="18">• Final intellectual transformation</tspan> </text> <!-- Central Text --> <g filter="url(#glow)"> <text x="450" y="290" font-family="sans-serif" font-weight="800" font-size="22" fill="#f8fafc" text-anchor="middle">RECURSION</text> <text x="450" y="310" font-family="sans-serif" font-size="11" fill="#38bdf8" text-anchor="middle" letter-spacing="1">NON-LINEAR PROGRESSION</text> </g> <!-- Connecting Arrows --> <g stroke="#38bdf8" stroke-width="2" fill="none" opacity="0.4"> <path d="M310,200 L590,200" marker-end="url(#arrow)"/> <path d="M720,270 L720,330" marker-end="url(#arrow)"/> <path d="M590,400 L310,400" marker-end="url(#arrow)"/> <path d="M180,330 L180,270" marker-end="url(#arrow)"/> </g> <!-- Arrow Marker --> <defs> <marker id="arrow" markerWidth="10" markerHeight="10" refX="9" refY="5" orientation="auto"> <path d="M0,0 L10,5 L0,10 Z" fill="#38bdf8"/> </marker> </defs> <!-- Bottom Label --> <rect x="350" y="510" width="200" height="30" rx="15" fill="#f59e0b" opacity="0.1"/> <text x="450" y="530" font-family="sans-serif" font-weight="600" font-size="12" fill="#f59e0b" text-anchor="middle">ACADEMIC CONTEXT: CRITICAL THINKING</text> </svg>The Writing Process image 1The Writing Process - The Word on College Reading and Writing - image 1https://www.getlykke.com/explore/public/the-word-on-college-reading-and-4b06efe6-170a-4931-9a6e-efb6fa22f14d/media/the-writing-process/svg/1The Writing Process diagram 1The Writing Process - The Word on College Reading and Writing - diagram 1https://www.getlykke.com/explore/public/the-word-on-college-reading-and-4b06efe6-170a-4931-9a6e-efb6fa22f14d/media/the-writing-process/svg/2The Writing Process diagram 2The Writing Process - The Word on College Reading and Writing - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter 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and pacing of text.</text> <!-- Rhythm Visualization --> <g transform="translate(60, 210)"> <rect x="0" y="30" width="20" height="4" rx="2" fill="#f59e0b"/> <text x="30" y="35" font-family="sans-serif" font-size="11" fill="#f8fafc">Staccato (Urgency)</text> <rect x="0" y="55" width="60" height="4" rx="2" fill="#f59e0b" opacity="0.7"/> <text x="70" y="60" font-family="sans-serif" font-size="11" fill="#f8fafc">Telegraphic (Clarity)</text> <rect x="0" y="80" width="120" height="4" rx="2" fill="#f59e0b" opacity="0.5"/> <text x="130" y="85" font-family="sans-serif" font-size="11" fill="#f8fafc">Medium</text> <rect x="0" y="105" width="180" height="4" rx="2" fill="#f59e0b" opacity="0.3"/> <text x="60" y="125" font-family="sans-serif" font-size="11" fill="#f8fafc">Periodic (Complexity/Nuance)</text> </g> <text x="60" y="380" font-family="sans-serif" font-size="12" fill="#94a3b8" font-style="italic">"A sudden short sentence creates</text> <text x="60" y="395" font-family="sans-serif" font-size="12" fill="#94a3b8" font-style="italic">a rhetorical stop."</text> <!-- Middle Column: Functional Architecture --> <rect x="320" y="130" width="260" height="300" rx="16" fill="#ffffff12" stroke="#38bdf840"/> <text x="340" y="160" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">Technical Levers</text> <!-- Blueprint Icon --> <g transform="translate(390, 190)" stroke="#38bdf8" stroke-width="1.5" fill="none"> <path d="M 0 60 L 60 60 L 60 0 L 0 0 Z"/> <path d="M 0 60 L 30 30 L 60 60"/> <path d="M 30 30 L 30 0" stroke-dasharray="4 2"/> <circle cx="30" cy="30" r="3" fill="#38bdf8"/> </g> <g font-family="sans-serif" font-size="13" fill="#f8fafc"> <text x="340" y="285" font-weight="bold">ETHOS</text> <text x="400" y="285" fill="#94a3b8">Establishing Credibility</text> <text x="340" y="315" font-weight="bold">DICTION</text> <text x="400" y="315" fill="#94a3b8">Strategic Word Choice</text> <text x="340" y="345" font-weight="bold">SYNTAX</text> <text x="400" y="345" fill="#94a3b8">Structural Arrangement</text> <text x="340" y="375" font-weight="bold">PACING</text> <text x="400" y="375" fill="#94a3b8">Cognitive Load Control</text> </g> <!-- Right Column: PoV Spectrum --> <rect x="600" y="130" width="260" height="300" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="620" y="160" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">Narrative Distance</text> <!-- PoV Spectrum Visual --> <g transform="translate(630, 200)"> <line x1="0" y1="100" x2="200" y2="100" stroke="#94a3b8" stroke-width="2"/> <circle cx="20" cy="100" r="6" fill="#e879f9" filter="url(#glow)"/> <text x="0" y="85" font-family="sans-serif" font-size="11" fill="#f8fafc" font-weight="bold">1st Person</text> <text x="0" y="120" font-family="sans-serif" font-size="10" fill="#94a3b8">Eyewitness / Personal</text> <circle cx="100" cy="100" r="4" fill="#ffffff40"/> <text x="80" y="85" font-family="sans-serif" font-size="11" fill="#f8fafc" font-weight="bold">2nd Person</text> <text x="80" y="135" font-family="sans-serif" font-size="10" fill="#94a3b8">Instructional / Direct</text> <circle cx="180" cy="100" r="4" fill="#ffffff40"/> <text x="150" y="85" font-family="sans-serif" font-size="11" fill="#f8fafc" font-weight="bold">3rd Person</text> <text x="140" y="120" font-family="sans-serif" font-size="10" fill="#94a3b8">Academic / Objective</text> </g> <!-- Bottom Bar: Stylistic Fingerprint --> <rect x="40" y="450" width="820" height="80" rx="12" fill="#00000040" stroke="#ffffff05"/> <text x="65" y="480" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">THE STYLISTIC FINGERPRINT</text> <text x="65" y="500" font-family="sans-serif" font-size="12" fill="#94a3b8">Quantitative analysis of lexical diversity and syntactic density.</text> <!-- Mini Graph --> <g transform="translate(650, 470)"> <path d="M 0 40 Q 20 10 40 30 T 80 20 T 120 35 T 160 10" fill="none" stroke="#38bdf8" stroke-width="2" opacity="0.6"/> <circle cx="160" cy="10" r="3" fill="#38bdf8"/> <text x="0" y="55" font-family="monospace" font-size="10" fill="#38bdf8">analyze_style_metrics()</text> </g> <!-- Decorative Elements --> <circle cx="850" cy="50" r="20" fill="#f59e0b" opacity="0.1"/> <circle cx="840" cy="60" r="10" fill="#e879f9" opacity="0.1"/> </svg>Style and Voice image 1Style and Voice - The Word on College Reading and Writing - image 1https://www.getlykke.com/explore/public/the-word-on-college-reading-and-4b06efe6-170a-4931-9a6e-efb6fa22f14d/media/style-and-voice/svg/1Style and Voice diagram 1Style and Voice - The Word on College Reading and Writing - diagram 1<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accent-gold" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#f59e0b"/> <stop offset="100%" stop-color="#d97706"/> </linearGradient> <filter id="glow" x="-20%" y="-20%" width="140%" height="140%"> <feGaussianBlur stdDeviation="4" result="blur" /> <feComposite in="SourceGraphic" in2="blur" operator="over" /> </filter> </defs> <!-- Background and Decorative Grid --> <rect width="900" height="560" fill="url(#bg)"/> <g stroke="#ffffff08" stroke-width="1"> <path d="M0 40h900M0 80h900M0 120h900M0 160h900M0 200h900M0 240h900M0 280h900M0 320h900M0 360h900M0 400h900M0 440h900M0 480h900M0 520h900"/> <path d="M40 0v560M80 0v560M120 0v560M160 0v560M200 0v560M240 0v560M280 0v560M320 0v560M360 0v560M400 0v560M440 0v560M480 0v560M520 0v560M560 0v560M600 0v560M640 0v560M680 0v560M720 0v560M760 0v560M800 0v560M840 0v560M880 0v560"/> </g> <!-- Header Section --> <text x="40" y="60" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="-0.5">THE ARCHITECTURE OF ACADEMIC ENGAGEMENT</text> <text x="40" y="85" font-family="sans-serif" font-size="16" fill="#94a3b8" font-weight="400">A Tripartite Framework for Interacting with Meaningful Artifacts</text> <rect x="40" y="105" width="120" height="4" fill="#f59e0b" rx="2"/> <!-- Foundation: The Sleuth Methodology --> <rect x="40" y="140" width="820" height="100" rx="16" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <circle cx="80" cy="190" r="25" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <path d="M75 185 a8 8 0 1 1 10 10 l8 8" stroke="#38bdf8" stroke-width="3" fill="none" stroke-linecap="round"/> <text x="125" y="175" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">PHASE 0: SCHEMA BUILDING (THE SLEUTH)</text> <text x="125" y="195" font-family="sans-serif" font-size="13" fill="#cbd5e1">Before deep-diving, gather structural clues: Author Ethos, Thesis Maps, and Data Peaks.</text> <text x="125" y="215" font-family="sans-serif" font-size="11" fill="#94a3b8" font-style="italic">Tools: Abstract Analysis • Topic Sentence Skimming • Visual Anchors</text> <!-- The Three Pillars --> <!-- Pillar 1: Summarizing --> <rect x="40" y="260" width="260" height="260" rx="16" fill="#ffffff08" stroke="#f59e0b40" stroke-width="1"/> <path d="M170 285 l-20 40 h40 z" fill="none" stroke="#f59e0b" stroke-width="2"/> <rect x="160" y="325" width="20" height="10" fill="#f59e0b"/> <text x="170" y="360" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b" text-anchor="middle">1. SUMMARIZING</text> <text x="170" y="385" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc" text-anchor="middle">Objective Condensation</text> <text x="65" y="415" font-family="sans-serif" font-size="12" fill="#cbd5e1"> <tspan x="170" dy="0" text-anchor="middle">Distilling the "What" and "Why"</tspan> <tspan x="170" dy="18" text-anchor="middle">into a high-fidelity, low-res</tspan> <tspan x="170" dy="18" text-anchor="middle">version. Strict neutrality is</tspan> <tspan x="170" dy="18" text-anchor="middle">the primary currency here.</tspan> </text> <rect x="80" y="480" width="180" height="24" rx="12" fill="#f59e0b15"/> <text x="170" y="496" font-family="sans-serif" font-size="11" font-weight="700" fill="#f59e0b" text-anchor="middle">GOAL: FIDELITY</text> <!-- Pillar 2: Analyzing --> <rect x="320" y="260" width="260" height="260" rx="16" fill="#ffffff08" stroke="#38bdf840" stroke-width="1"/> <path d="M450 285 l-25 40 h50 z" fill="none" stroke="#38bdf8" stroke-width="2"/> <circle cx="450" cy="308" r="4" fill="#38bdf8"/> <text x="450" y="360" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8" text-anchor="middle">2. 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CRITIQUING</text> <text x="730" y="385" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc" text-anchor="middle">Intellectual Evaluation</text> <text x="625" y="415" font-family="sans-serif" font-size="12" fill="#cbd5e1"> <tspan x="730" dy="0" text-anchor="middle">Judging validity and impact.</tspan> <tspan x="730" dy="18" text-anchor="middle">Placing the text within a</tspan> <tspan x="730" dy="18" text-anchor="middle">broader cultural, historical,</tspan> <tspan x="730" dy="18" text-anchor="middle">and intellectual conversation.</tspan> </text> <rect x="640" y="480" width="180" height="24" rx="12" fill="#e879f915"/> <text x="730" y="496" font-family="sans-serif" font-size="11" font-weight="700" fill="#e879f9" text-anchor="middle">GOAL: VALIDITY</text> <!-- Connectors --> <path d="M300 390 L320 390" stroke="#ffffff20" stroke-width="2" stroke-dasharray="4 4"/> <path d="M580 390 L600 390" stroke="#ffffff20" stroke-width="2" stroke-dasharray="4 4"/> <!-- Footer Note --> <text x="450" y="545" font-family="sans-serif" font-size="10" fill="#64748b" text-anchor="middle" letter-spacing="1">ACADEMIC LITERACY SERIES • SECTION 1.2 • SUMMARIZING AND CRITIQUING</text> </svg>Summarizing and Critiquing image 1Summarizing and Critiquing - The Word on College Reading and Writing - image 1https://www.getlykke.com/explore/public/the-word-on-college-reading-and-4b06efe6-170a-4931-9a6e-efb6fa22f14d/media/summarizing-and-critiquing/svg/1Summarizing and Critiquing diagram 1Summarizing and Critiquing - The Word on College Reading and Writing - diagram 1https://www.getlykke.com/explore/public/the-word-on-college-reading-and-4b06efe6-170a-4931-9a6e-efb6fa22f14d/media/summarizing-and-critiquing/svg/2Summarizing and Critiquing diagram 2Summarizing and Critiquing - The Word on College Reading and Writing - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="450" y="55" text-anchor="middle" font-family="sans-serif" font-size="32" font-weight="800" fill="#f8fafc" letter-spacing="1">INFORMATION LITERACY &amp; MLA STYLE</text> <text x="450" y="80" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="400" fill="#94a3b8" letter-spacing="2">A FOUNDATIONAL META-COMPETENCY FOR THE DIGITAL AGE</text> <line x1="350" y1="95" x2="550" y2="95" stroke="#38bdf8" stroke-width="2" stroke-linecap="round"/> <!-- Left Column: The Pipeline --> <rect x="30" y="120" width="260" height="410" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="50" y="155" font-family="sans-serif" font-size="18" font-weight="700" fill="#f59e0b">THE RESEARCH PIPELINE</text> <!-- Sleuth Icon --> <circle cx="65" cy="195" r="12" fill="none" stroke="#f59e0b" stroke-width="2"/> <line x1="74" y1="204" x2="82" y2="212" stroke="#f59e0b" stroke-width="3" stroke-linecap="round"/> <text x="95" y="190" font-family="sans-serif" font-size="14" font-weight="600" fill="#f8fafc">The "Sleuth" Phase</text> <text x="95" y="205" font-family="sans-serif" font-size="11" fill="#94a3b8">Building Schema &amp; Pre-reading</text> <!-- Pipeline Steps --> <g transform="translate(50, 240)"> <rect width="220" height="45" rx="8" fill="#ffffff08"/> <text x="40" y="27" font-family="sans-serif" font-size="13" font-weight="600" fill="#f8fafc">1. 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Synthesis</text> <circle cx="20" cy="187" r="6" fill="#f59e0b" opacity="0.4"/> <path d="M 20 35 L 20 70 M 20 90 L 20 125 M 20 145 L 20 180" stroke="#f59e0b" stroke-width="1" stroke-dasharray="4 2"/> </g> <text x="50" y="505" font-family="sans-serif" font-size="11" fill="#94a3b8" font-style="italic">"Strong writing is linked to diverse reading."</text> <!-- Middle Column: Rhetoric --> <rect x="320" y="120" width="260" height="410" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="450" y="155" text-anchor="middle" font-family="sans-serif" font-size="18" font-weight="700" fill="#38bdf8">RHETORICAL FRAMEWORK</text> <!-- Rhetorical Triangle --> <path d="M 450 190 L 510 300 L 390 300 Z" fill="none" stroke="#38bdf8" stroke-width="2" filter="url(#glow)"/> <circle cx="450" cy="190" r="4" fill="#f8fafc"/> <circle cx="510" cy="300" r="4" fill="#f8fafc"/> <circle cx="390" cy="300" r="4" fill="#f8fafc"/> <text x="450" y="180" text-anchor="middle" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f8fafc">ETHOS</text> <text x="535" y="315" text-anchor="middle" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f8fafc">PATHOS</text> <text x="365" y="315" text-anchor="middle" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f8fafc">LOGOS</text> <!-- Rhetoric Details --> <g transform="translate(340, 350)"> <text y="0" font-family="sans-serif" font-size="13" font-weight="bold" fill="#38bdf8">KAIROS</text> <text y="18" font-family="sans-serif" font-size="11" fill="#94a3b8">The timeliness of the argument.</text> <text y="50" font-family="sans-serif" font-size="13" font-weight="bold" fill="#38bdf8">AUDIENCE AWARENESS</text> <text y="68" font-family="sans-serif" font-size="11" fill="#94a3b8">Calibrating jargon for the reader.</text> <text y="100" font-family="sans-serif" font-size="13" font-weight="bold" fill="#38bdf8">PURPOSE vs. POINT</text> <text y="118" font-family="sans-serif" font-size="11" fill="#94a3b8">The "Why" vs. the "What" (Thesis).</text> </g> <!-- Right Column: MLA Containers --> <rect x="610" y="120" width="260" height="410" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="630" y="155" font-family="sans-serif" font-size="18" font-weight="700" fill="#e879f9">MLA: LOGIC OF CONTAINERS</text> <!-- Container Visual --> <g transform="translate(640, 180)"> <!-- Container 2 --> <rect x="0" y="0" width="200" height="120" rx="8" fill="none" stroke="#e879f9" stroke-width="1" stroke-dasharray="4 2"/> <text x="10" y="18" font-family="sans-serif" font-size="10" fill="#e879f9" font-weight="bold">CONTAINER 2 (e.g. Database)</text> <!-- Container 1 --> <rect x="15" y="30" width="170" height="75" rx="6" fill="#e879f920" stroke="#e879f9" stroke-width="1.5"/> <text x="25" y="48" font-family="sans-serif" font-size="10" fill="#f8fafc" font-weight="bold">CONTAINER 1 (e.g. Journal)</text> <!-- Source --> <rect x="30" y="60" width="140" height="30" rx="4" fill="#e879f9" /> <text x="100" y="80" text-anchor="middle" font-family="sans-serif" font-size="11" font-weight="bold" fill="#1e1b4b">SOURCE (e.g. Article)</text> </g> <!-- Core Elements List --> <g transform="translate(630, 330)"> <text x="0" y="0" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">The 9 Core Elements</text> <g font-family="sans-serif" font-size="11" fill="#94a3b8"> <text x="0" y="25">1. Author.</text> <text x="0" y="42">2. Title of Source.</text> <text x="0" y="59">3. Title of Container,</text> <text x="0" y="76">4. Other Contributors,</text> <text x="0" y="93">5. Version,</text> <text x="110" y="25">6. Number,</text> <text x="110" y="42">7. Publisher,</text> <text x="110" y="59">8. Publication Date,</text> <text x="110" y="76">9. Location.</text> </g> <rect x="0" y="115" width="220" height="40" rx="8" fill="#ffffff08"/> <text x="110" y="140" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#e879f9" font-weight="bold">UNIVERSAL FRAMEWORK (8th/9th Ed.)</text> </g> <!-- Footer Accents --> <circle cx="30" cy="30" r="15" fill="#38bdf8" opacity="0.2"/> <circle cx="870" cy="530" r="20" fill="#e879f9" opacity="0.2"/> <path d="M 850 30 L 880 60 M 860 30 L 880 50" stroke="#ffffff10" stroke-width="2"/> </svg>Information Literacy and MLA image 1Information Literacy and MLA - The Word on College Reading and Writing - image 1https://www.getlykke.com/explore/public/the-word-on-college-reading-and-4b06efe6-170a-4931-9a6e-efb6fa22f14d/media/information-literacy-and-mla/svg/1Information Literacy and MLA diagram 1Information Literacy and MLA - The Word on College Reading and Writing - diagram 1https://www.getlykke.com/explore/public/the-word-on-college-reading-and-4b06efe6-170a-4931-9a6e-efb6fa22f14d/media/information-literacy-and-mla/svg/2Information Literacy and MLA diagram 2Information Literacy and MLA - The Word on College Reading and Writing - diagram 2https://www.getlykke.com/explore/public/tpw-technical-professional-writing-eeaeb115-8bf5-4fb1-8e48-7e86fd3684692026-04-20T04:53:27.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Decorative Shapes --> <circle cx="850" cy="50" r="80" fill="#38bdf8" fill-opacity="0.05"/> <rect x="-20" y="400" width="150" height="150" rx="30" fill="#e879f9" fill-opacity="0.05" transform="rotate(15 -20 400)"/> <!-- Header Section --> <text x="40" y="65" font-family="sans-serif" font-weight="800" font-size="34" fill="#f8fafc" filter="url(#glow)">Technical Communication</text> <rect x="40" y="85" width="480" height="4" rx="2" fill="url(#accentGrad)"/> <text x="40" y="110" font-family="sans-serif" font-size="16" font-weight="400" fill="#94a3b8">The Bridge Between Complex Knowledge and Human Action</text> <!-- Left Column: The 3 Pillars (STC Framework) --> <text x="40" y="160" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">THE THREE PILLARS (STC)</text> <!-- Pillar 1 --> <rect x="40" y="175" width="380" height="90" rx="16" fill="#ffffff10" stroke="#ffffff10"/> <circle cx="75" cy="220" r="20" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <path d="M 68 215 L 82 215 M 68 220 L 82 220 M 68 225 L 75 225" stroke="#38bdf8" stroke-width="2" fill="none"/> <text x="110" y="205" font-family="sans-serif" font-weight="700" font-size="15" fill="#f8fafc">Specialized Information</text> <text x="110" y="225" font-family="sans-serif" font-size="12" fill="#94a3b8">Accuracy in niche domains like medicine,</text> <text x="110" y="240" font-family="sans-serif" font-size="12" fill="#94a3b8">law, or high-level engineering.</text> <!-- Pillar 2 --> <rect x="40" y="275" width="380" height="90" rx="16" fill="#ffffff10" stroke="#ffffff10"/> <circle cx="75" cy="320" r="20" fill="#e879f920" stroke="#e879f9" stroke-width="2"/> <rect x="68" y="313" width="14" height="14" rx="2" stroke="#e879f9" stroke-width="2" fill="none"/> <text x="110" y="305" font-family="sans-serif" font-weight="700" font-size="15" fill="#f8fafc">Technological Delivery</text> <text x="110" y="325" font-family="sans-serif" font-size="12" fill="#94a3b8">The medium as a tool: APIs, wikis, help</text> <text x="110" y="340" font-family="sans-serif" font-size="12" fill="#94a3b8">files, and interactive interfaces.</text> <!-- Pillar 3 --> <rect x="40" y="375" width="380" height="90" rx="16" fill="#ffffff10" stroke="#ffffff10"/> <circle cx="75" cy="420" r="20" fill="#f59e0b20" stroke="#f59e0b" stroke-width="2"/> <path d="M 68 412 L 82 420 L 68 428 Z" fill="#f59e0b"/> <text x="110" y="405" font-family="sans-serif" font-weight="700" font-size="15" fill="#f8fafc">Instructional Design</text> <text x="110" y="425" font-family="sans-serif" font-size="12" fill="#94a3b8">Enabling the "How-To": Assembly guides,</text> <text x="110" y="440" font-family="sans-serif" font-size="12" fill="#94a3b8">SOPs, and troubleshooting workflows.</text> <!-- Right Column: Paradigm Shift --> <text x="460" y="160" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">THE PARADIGM SHIFT</text> <!-- Academic Card --> <rect x="460" y="175" width="400" height="140" rx="16" fill="#ffffff05" stroke="#ffffff10" stroke-dasharray="4 4"/> <text x="480" y="205" font-family="sans-serif" font-weight="700" font-size="14" fill="#94a3b8">ACADEMIC WRITING</text> <text x="480" y="230" font-family="sans-serif" font-weight="600" font-size="18" fill="#f8fafc">Knowledge Demonstration</text> <circle cx="490" cy="255" r="3" fill="#e879f9"/> <text x="505" y="259" font-family="sans-serif" font-size="13" fill="#94a3b8">Audience: Specialized (Professors)</text> <circle cx="490" cy="275" r="3" fill="#e879f9"/> <text x="505" y="279" font-family="sans-serif" font-size="13" fill="#94a3b8">Goal: Persuade and show mastery</text> <circle cx="490" cy="295" r="3" fill="#e879f9"/> <text x="505" y="299" font-family="sans-serif" font-size="13" fill="#94a3b8">Structure: Linear &amp; Discursive</text> <!-- VS Divider --> <circle cx="660" cy="325" r="20" fill="#1e1b4b" stroke="url(#accentGrad)" stroke-width="2"/> <text x="660" y="331" font-family="sans-serif" font-weight="800" font-size="14" fill="#f8fafc" text-anchor="middle">VS</text> <!-- Technical Card --> <rect x="460" y="335" width="400" height="140" rx="16" fill="#38bdf810" stroke="#38bdf840"/> <text x="480" y="365" font-family="sans-serif" font-weight="700" font-size="14" fill="#38bdf8">TECHNICAL WRITING</text> <text x="480" y="390" font-family="sans-serif" font-weight="600" font-size="18" fill="#f8fafc">Knowledge Application</text> <circle cx="490" cy="415" r="3" fill="#38bdf8"/> <text x="505" y="419" font-family="sans-serif" font-size="13" fill="#94a3b8">Audience: Diverse (Users/Stakeholders)</text> <circle cx="490" cy="435" r="3" fill="#38bdf8"/> <text x="505" y="439" font-family="sans-serif" font-size="13" fill="#94a3b8">Goal: Inform and enable action</text> <circle cx="490" cy="455" r="3" fill="#38bdf8"/> <text x="505" y="459" font-family="sans-serif" font-size="13" fill="#94a3b8">Structure: Modular &amp; Task-Oriented</text> <!-- Bottom Key Insight --> <rect x="40" y="490" width="820" height="45" rx="12" fill="url(#accentGrad)" fill-opacity="0.15"/> <text x="60" y="518" font-family="sans-serif" font-weight="800" font-size="13" fill="#f59e0b">KEY INSIGHT:</text> <text x="155" y="518" font-family="sans-serif" font-size="13" fill="#f8fafc">Modern technical communication focuses on the <tspan font-weight="bold" fill="#38bdf8">utility</tspan> of information over the complexity of the subject matter.</text> <!-- Decorative Bridge Line --> <path d="M 430 110 Q 450 110 450 130 L 450 470 Q 450 490 430 490" stroke="#ffffff20" stroke-width="2" fill="none" stroke-dasharray="5 5"/> </svg>Introduction to Technical Communication image 1Introduction to Technical Communication - TPW: Technical & Professional Writing - image 1https://www.getlykke.com/explore/public/tpw-technical-professional-writing-eeaeb115-8bf5-4fb1-8e48-7e86fd368469/media/introduction-to-technical-communication/svg/1Introduction to Technical Communication diagram 1Introduction to Technical Communication - TPW: Technical & Professional Writing - diagram 1https://www.getlykke.com/explore/public/tpw-technical-professional-writing-eeaeb115-8bf5-4fb1-8e48-7e86fd368469/media/introduction-to-technical-communication/svg/2Introduction to Technical Communication diagram 2Introduction to Technical Communication - TPW: Technical & Professional Writing - diagram 2https://www.getlykke.com/explore/public/tpw-technical-professional-writing-eeaeb115-8bf5-4fb1-8e48-7e86fd368469/media/introduction-to-technical-communication/svg/3Introduction to Technical Communication diagram 3Introduction to Technical Communication - TPW: Technical & Professional Writing - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient 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stroke-width="2" stroke-opacity="0.5"/> <!-- Left Column: Comparison Card --> <rect x="40" y="130" width="380" height="390" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="60" y="165" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">THE ACADEMIC-TO-PROFESSIONAL PIVOT</text> <!-- Comparison Table Headers --> <rect x="60" y="185" width="165" height="30" rx="4" fill="#ffffff10"/> <text x="70" y="205" font-family="sans-serif" font-weight="600" font-size="12" fill="#94a3b8">ACADEMIC HABITS</text> <rect x="235" y="185" width="165" height="30" rx="4" fill="#38bdf820"/> <text x="245" y="205" font-family="sans-serif" font-weight="600" font-size="12" fill="#38bdf8">PROFESSIONAL UTILITY</text> <!-- Comparison Rows --> <g font-family="sans-serif" font-size="13"> <text x="60" y="240" fill="#f8fafc" font-weight="600">Goal:</text> <text x="60" y="258" fill="#94a3b8">Demonstrate Knowledge</text> <text x="235" y="258" fill="#f8fafc">Enable Action / Solution</text> <text 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y="165" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">THE T-SHAPED COMPETENCY MATRIX</text> <!-- T-Shape Graphic --> <rect x="500" y="190" width="300" height="35" rx="4" fill="#e879f9" fill-opacity="0.8"/> <text x="510" y="212" font-family="sans-serif" font-weight="700" font-size="14" fill="#0f172a">BROAD COMMUNICATION &amp; COLLABORATION</text> <rect x="630" y="225" width="40" height="100" rx="4" fill="#38bdf8" fill-opacity="0.8"/> <text x="638" y="285" font-family="sans-serif" font-weight="700" font-size="14" fill="#0f172a" transform="rotate(90 638,285)">TECHNICAL DEPTH</text> <g font-family="sans-serif" font-size="11" fill="#94a3b8"> <text x="460" y="245">• Information Architecture</text> <text x="460" y="265">• Data Integrity (Ethics)</text> <text x="460" y="285">• Version Control (Git)</text> <text x="685" y="245">• Active Listening</text> <text x="685" y="265">• Collaborative Writing</text> <text x="685" y="285">• Problem Solving</text> </g> <!-- Bottom 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font-weight="bold">VALIDATION</text> <path d="M 760 430 Q 635 390 510 430" fill="none" stroke="#94a3b8" stroke-width="1" stroke-dasharray="5 5"/> <text x="460" y="505" font-family="sans-serif" font-size="12" fill="#94a3b8">High Self-Efficacy: The bridge between raw competence and impact.</text> <!-- Decorative Elements --> <circle cx="840" cy="60" r="15" fill="#f59e0b" fill-opacity="0.2"/> <circle cx="840" cy="60" r="8" fill="#f59e0b" fill-opacity="0.5"/> <g opacity="0.2"> <rect x="800" y="500" width="10" height="10" fill="#38bdf8"/> <rect x="815" y="500" width="10" height="10" fill="#e879f9"/> <rect x="830" y="500" width="10" height="10" fill="#f59e0b"/> </g> </svg>Professionalism and Workplace Success image 1Professionalism and Workplace Success - TPW: Technical & Professional Writing - image 1https://www.getlykke.com/explore/public/tpw-technical-professional-writing-eeaeb115-8bf5-4fb1-8e48-7e86fd368469/media/professionalism-and-employability/svg/1Professionalism and Workplace Success diagram 1Professionalism and Workplace Success - TPW: Technical & Professional Writing - diagram 1https://www.getlykke.com/explore/public/tpw-technical-professional-writing-eeaeb115-8bf5-4fb1-8e48-7e86fd368469/media/professionalism-and-employability/svg/2Professionalism and Workplace Success diagram 2Professionalism and Workplace Success - TPW: Technical & Professional Writing - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10" /> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Header Section --> <text x="450" y="60" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">ETHICS &amp; LEGAL OBLIGATIONS</text> <text x="450" y="85" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" font-style="italic">The Professional Social Contract in Technical Communication</text> <line x1="350" y1="100" x2="550" y2="100" stroke="#38bdf8" stroke-width="2" stroke-linecap="round" opacity="0.6"/> <!-- Left Column: Ethical Frameworks --> <rect x="40" y="120" width="260" height="400" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="60" y="155" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">Ethical Frameworks</text> <!-- Utilitarianism --> <circle cx="70" cy="195" r="12" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1.5"/> <path d="M65 195 L75 195 M70 190 L70 200" 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Deviance Warning --> <rect x="55" y="370" width="230" height="130" rx="12" fill="#ef444410" stroke="#ef444440" stroke-width="1"/> <text x="70" y="395" font-family="sans-serif" font-weight="700" font-size="13" fill="#ef4444">Normalization of Deviance</text> <text x="70" y="415" font-family="sans-serif" font-size="11" fill="#f8fafc" opacity="0.9">When small unethical shortcuts</text> <text x="70" y="430" font-family="sans-serif" font-size="11" fill="#f8fafc" opacity="0.9">become standard practice until</text> <text x="70" y="445" font-family="sans-serif" font-size="11" fill="#f8fafc" opacity="0.9">a catastrophe occurs.</text> <path d="M70 470 L270 470" stroke="#ef4444" stroke-width="1" stroke-dasharray="4 2"/> <!-- Center Column: The Social Contract --> <rect x="320" y="120" width="260" height="260" rx="130" fill="#38bdf808" stroke="#38bdf830" stroke-width="1"/> <circle cx="450" cy="250" r="90" fill="#ffffff05" stroke="#38bdf8" stroke-width="2" filter="url(#glow)"/> <text x="450" y="240" 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Criteria</text> <text x="345" y="455" font-family="sans-serif" font-weight="700" font-size="12" fill="#f8fafc">P</text><text x="360" y="455" font-family="sans-serif" font-size="11" fill="#94a3b8">urpose</text> <text x="415" y="455" font-family="sans-serif" font-weight="700" font-size="12" fill="#f8fafc">A</text><text x="430" y="455" font-family="sans-serif" font-size="11" fill="#94a3b8">udience</text> <text x="490" y="455" font-family="sans-serif" font-weight="700" font-size="12" fill="#f8fafc">L</text><text x="505" y="455" font-family="sans-serif" font-size="11" fill="#94a3b8">anguage</text> <text x="380" y="485" font-family="sans-serif" font-weight="700" font-size="12" fill="#f8fafc">E</text><text x="395" y="485" font-family="sans-serif" font-size="11" fill="#94a3b8">vidence</text> <text x="460" y="485" font-family="sans-serif" font-weight="700" font-size="12" fill="#f8fafc">S</text><text x="475" y="485" font-family="sans-serif" font-size="11" fill="#94a3b8">tructure</text> <!-- 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Technical & Professional Writing - image 1https://www.getlykke.com/explore/public/tpw-technical-professional-writing-eeaeb115-8bf5-4fb1-8e48-7e86fd368469/media/ethics-in-technical-communication/svg/1Ethics and Legal Obligations diagram 1Ethics and Legal Obligations - TPW: Technical & Professional Writing - diagram 1https://www.getlykke.com/explore/public/tpw-technical-professional-writing-eeaeb115-8bf5-4fb1-8e48-7e86fd368469/media/ethics-in-technical-communication/svg/2Ethics and Legal Obligations diagram 2Ethics and Legal Obligations - TPW: Technical & Professional Writing - diagram 2https://www.getlykke.com/explore/public/tpw-technical-professional-writing-eeaeb115-8bf5-4fb1-8e48-7e86fd368469/media/ethics-in-technical-communication/svg/3Ethics and Legal Obligations diagram 3Ethics and Legal Obligations - TPW: Technical & Professional Writing - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop 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text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-weight="800" font-size="32" letter-spacing="-0.5">THE HIGH COST OF SILENCE</text> <text x="450" y="85" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="16" font-weight="500">Technical Communication as a Safety-Critical Engineering Component</text> <rect x="350" y="100" width="200" height="4" fill="url(#accentGrad)" rx="2"/> <!-- Case Study 1: Challenger --> <rect x="40" y="130" width="395" height="340" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="65" y="165" fill="#f59e0b" font-family="sans-serif" font-weight="bold" font-size="20">Space Shuttle Challenger (1986)</text> <text x="65" y="185" fill="#94a3b8" font-family="sans-serif" font-size="14" font-style="italic">Failure of Interpretation &amp; Visualization</text> <!-- Challenger Icon: O-Ring --> <circle cx="100" cy="240" r="25" fill="none" stroke="#f59e0b" stroke-width="6" stroke-dasharray="120 40"/> <path d="M115 225 L140 200" 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rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="490" y="165" fill="#38bdf8" font-family="sans-serif" font-weight="bold" font-size="20">Boeing 737 MAX (2018)</text> <text x="490" y="185" fill="#94a3b8" font-family="sans-serif" font-size="14" font-style="italic">Failure of Omission &amp; Audience Analysis</text> <!-- Boeing Icon: MCAS --> <path d="M500 250 L560 230 L560 240 L500 260 Z" fill="#38bdf8"/> <path d="M530 240 L530 280" stroke="#ef4444" stroke-width="3" fill="none" marker-end="url(#arrowhead)"/> <text x="540" y="275" fill="#ef4444" font-family="sans-serif" font-size="12" font-weight="bold">MCAS Nose-Down</text> <!-- Boeing Points --> <g font-family="sans-serif" font-size="13"> <text x="490" y="300" fill="#f8fafc" font-weight="bold">Audience Analysis Failure</text> <text x="490" y="318" fill="#94a3b8">Intentional omission of MCAS from manuals</text> <text x="490" y="333" fill="#94a3b8">to avoid costly pilot simulator training.</text> <text x="490" y="370" fill="#f8fafc" 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text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="600"> LESSON: <tspan fill="#e879f9">CLARITY</tspan> and <tspan fill="#e879f9">ETHICAL REPORTING</tspan> are as vital as hardware redundancy. </text> <!-- Arrowhead Def --> <defs> <marker id="arrowhead" markerWidth="10" markerHeight="7" refX="0" refY="3.5" orient="auto"> <polygon points="0 0, 10 3.5, 0 7" fill="#ef4444" /> </marker> </defs> </svg>Case Studies: Lion Air and Space Shuttle Challenger image 1Case Studies: Lion Air and Space Shuttle Challenger - TPW: Technical & Professional Writing - image 1https://www.getlykke.com/explore/public/tpw-technical-professional-writing-eeaeb115-8bf5-4fb1-8e48-7e86fd368469/media/case-studies-in-communication-failure/svg/1Case Studies: Lion Air and Space Shuttle Challenger diagram 1Case Studies: Lion Air and Space Shuttle Challenger - TPW: Technical & Professional Writing - diagram 1https://www.getlykke.com/explore/public/tpw-technical-professional-writing-eeaeb115-8bf5-4fb1-8e48-7e86fd368469/media/case-studies-in-communication-failure/svg/2Case Studies: Lion Air and Space Shuttle Challenger diagram 2Case Studies: Lion Air and Space Shuttle Challenger - TPW: Technical & Professional Writing - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <!-- Decorative Grid --> <path d="M0 40 H900 M0 80 H900 M0 120 H900 M0 160 H900 M0 200 H900 M0 240 H900 M0 280 H900 M0 320 H900 M0 360 H900 M0 400 H900 M0 440 H900 M0 480 H900 M0 520 H900" stroke="#ffffff05" stroke-width="1"/> <path d="M40 0 V560 M80 0 V560 M120 0 V560 M160 0 V560 M200 0 V560 M240 0 V560 M280 0 V560 M320 0 V560 M360 0 V560 M400 0 V560 M440 0 V560 M480 0 V560 M520 0 V560 M560 0 V560 M600 0 V560 M640 0 V560 M680 0 V560 M720 0 V560 M760 0 V560 M800 0 V560 M840 0 V560" stroke="#ffffff05" stroke-width="1"/> <!-- Header Section --> <text x="40" y="55" font-family="sans-serif" font-size="32" font-weight="bold" fill="#f8fafc" filter="url(#glow)">DIGITAL COMMUNICATION &amp; NETIQUETTE</text> <text x="40" y="80" font-family="sans-serif" font-size="14" fill="#94a3b8" letter-spacing="1">PROFESSIONAL RHETORIC IN THE TECHNICAL LANDSCAPE</text> <rect x="40" y="95" width="820" height="2" fill="url(#accentGrad)" opacity="0.6"/> <!-- Left Column: Netiquette Pillars --> <rect x="40" y="120" width="260" height="280" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="150" font-family="sans-serif" font-size="18" font-weight="bold" fill="#38bdf8">CORE PILLARS</text> <!-- Pillar 1 --> <circle cx="70" cy="185" r="12" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1.5"/> <path d="M66 185 Q70 178 74 185" fill="none" stroke="#f59e0b" stroke-width="1.5"/> <text x="90" y="182" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">Human-Centricity</text> <text x="90" y="196" font-family="sans-serif" font-size="11" fill="#94a3b8">Bridging the empathy gap.</text> <!-- Pillar 2 --> <circle cx="70" cy="245" r="12" fill="#38bdf820" stroke="#38bdf8" stroke-width="1.5"/> <path d="M65 245 H75 M70 240 V245" fill="none" stroke="#38bdf8" stroke-width="1.5"/> <text x="90" y="242" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">Efficiency (P.A.L.E.S.)</text> <text x="90" y="256" font-family="sans-serif" font-size="11" fill="#94a3b8">Respecting cognitive load.</text> <!-- Pillar 3 --> <circle cx="70" cy="305" r="12" fill="#e879f920" stroke="#e879f9" stroke-width="1.5"/> <circle cx="70" cy="305" r="5" fill="none" stroke="#e879f9" stroke-width="1"/> <text x="90" y="302" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">Contextual Awareness</text> <text x="90" y="316" font-family="sans-serif" font-size="11" fill="#94a3b8">Global &amp; cultural synergy.</text> <!-- Center: The Communication Packet (Technical Layer) --> <rect x="320" y="120" width="260" height="280" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="340" y="150" font-family="sans-serif" font-size="18" font-weight="bold" fill="#e879f9">DATA STRUCTURE</text> <rect x="340" y="170" width="220" height="40" rx="4" fill="#00000040" stroke="#38bdf8" stroke-dasharray="4"/> <text x="350" y="195" font-family="monospace" font-size="12" fill="#38bdf8">METADATA (Context)</text> <rect x="340" y="215" width="220" height="120" rx="4" fill="#00000040" stroke="#f8fafc30"/> <text x="350" y="235" font-family="monospace" font-size="11" fill="#94a3b8">struct DigitalMessage {</text> <text x="360" y="255" font-family="monospace" font-size="11" fill="#f8fafc"> sender_uid;</text> <text x="360" y="270" font-family="monospace" font-size="11" fill="#f8fafc"> priority_level;</text> <text x="360" y="285" font-family="monospace" font-size="11" fill="#f8fafc"> subject_line;</text> <text x="360" y="300" font-family="monospace" font-size="11" fill="#f59e0b"> payload_content;</text> <text x="350" y="320" font-family="monospace" font-size="11" fill="#94a3b8">};</text> <text x="340" y="360" font-family="sans-serif" font-size="11" fill="#94a3b8" font-style="italic">"Netiquette is the validation logic for professional metadata."</text> <!-- Right Column: Tone Comparison --> <rect x="600" y="120" width="260" height="280" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="620" y="150" font-family="sans-serif" font-size="18" font-weight="bold" fill="#f59e0b">TONE SHIFT</text> <text x="620" y="180" font-family="sans-serif" font-size="12" font-weight="bold" fill="#38bdf8">ACADEMIC</text> <text x="620" y="195" font-family="sans-serif" font-size="11" fill="#f8fafc">• Goal: Demonstrate Knowledge</text> <text x="620" y="210" font-family="sans-serif" font-size="11" fill="#f8fafc">• Format: Narrative/APA</text> <text x="620" y="225" font-family="sans-serif" font-size="11" fill="#f8fafc">• Speed: Days (Flexible)</text> <line x1="620" y1="245" x2="840" y2="245" stroke="#ffffff15" stroke-width="1"/> <text x="620" y="275" font-family="sans-serif" font-size="12" font-weight="bold" fill="#e879f9">PROFESSIONAL</text> <text x="620" y="290" font-family="sans-serif" font-size="11" fill="#f8fafc">• Goal: Facilitate Action</text> <text x="620" y="305" font-family="sans-serif" font-size="11" fill="#f8fafc">• Format: Scannable/Bullets</text> <text x="620" y="320" font-family="sans-serif" font-size="11" fill="#f8fafc">• Speed: Hours (Expected)</text> <!-- Bottom Section: Digital Permanence --> <rect x="40" y="420" width="820" height="110" rx="16" fill="#f59e0b10" stroke="#f59e0b40"/> <text x="60" y="450" font-family="sans-serif" font-size="18" font-weight="bold" fill="#f59e0b">DIGITAL PERMANENCE: THE "LONG TAIL"</text> <!-- The Curve --> <path d="M600 500 Q700 500 820 440" fill="none" stroke="#f59e0b" stroke-width="2" stroke-dasharray="4"/> <circle cx="600" cy="500" r="4" fill="#f59e0b"/> <text x="600" y="515" font-family="sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">Creation</text> <text x="820" y="430" font-family="sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">Infinite Persistence</text> <text x="60" y="475" font-family="sans-serif" font-size="13" fill="#f8fafc">1. Redundancy: Data is replicated across geographic regions.</text> <text x="60" y="495" font-family="sans-serif" font-size="13" fill="#f8fafc">2. Caching: Snapshots exist even after source deletion.</text> <text x="60" y="515" font-family="sans-serif" font-size="13" fill="#f8fafc">3. Indexing: Search engines create permanent searchable trails.</text> <!-- Decorative Elements --> <circle cx="850" cy="40" r="20" fill="none" stroke="#ffffff10" stroke-width="4"/> <circle cx="850" cy="40" r="10" fill="none" stroke="#38bdf8" stroke-width="2"/> </svg>Digital Communication and Netiquette image 1Digital Communication and Netiquette - TPW: Technical & Professional Writing - image 1https://www.getlykke.com/explore/public/tpw-technical-professional-writing-eeaeb115-8bf5-4fb1-8e48-7e86fd368469/media/digital-communication-and-netiquette/svg/1Digital Communication and Netiquette diagram 1Digital Communication and Netiquette - TPW: Technical & Professional Writing - diagram 1<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background and Grid --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Decorative Geometric Accents --> <circle cx="850" cy="50" r="100" fill="#e879f9" fill-opacity="0.05"/> <circle cx="50" cy="510" r="80" fill="#38bdf8" fill-opacity="0.05"/> <!-- Main Title Header --> <text x="450" y="60" text-anchor="middle" font-family="Inter, sans-serif" font-weight="800" font-size="32" fill="#f8fafc">THE RHETORICAL SITUATION</text> <text x="450" y="85" text-anchor="middle" font-family="Inter, sans-serif" font-size="14" fill="#94a3b8" letter-spacing="2">THE ECOSYSTEM OF TECHNICAL COMMUNICATION</text> <rect x="400" y="95" width="100" height="2" fill="#f59e0b"/> <!-- LEFT PANEL: EXIGENCE --> <rect x="40" y="120" width="390" height="400" rx="16" fill="#ffffff0a" stroke="#ffffff20"/> <text x="65" y="155" font-family="Inter, sans-serif" font-weight="700" font-size="20" fill="#f59e0b">01. EXIGENCE</text> <text x="65" y="175" font-family="Inter, sans-serif" font-size="12" fill="#94a3b8">The "Why Now?" — The catalyst for the message.</text> <!-- Exigence Categories --> <g transform="translate(65, 200)"> <!-- Functional --> <rect width="340" height="65" rx="8" fill="#ffffff05"/> <circle cx="25" cy="32" r="15" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1"/> <path d="M 20 32 L 30 32 M 25 27 L 25 37" stroke="#f59e0b" stroke-width="2"/> <text x="50" y="28" font-family="Inter, sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Functional</text> <text x="50" y="45" font-family="Inter, sans-serif" font-size="11" fill="#94a3b8">System gaps, failures, or technical updates.</text> <!-- Legal --> <g transform="translate(0, 75)"> <rect width="340" height="65" rx="8" fill="#ffffff05"/> <circle cx="25" cy="32" r="15" fill="#e879f920" stroke="#e879f9" stroke-width="1"/> <rect x="20" y="27" width="10" height="10" stroke="#e879f9" fill="none" stroke-width="1.5"/> <text x="50" y="28" font-family="Inter, sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Legal &amp; Compliance</text> <text x="50" y="45" font-family="Inter, sans-serif" font-size="11" fill="#94a3b8">Regulatory mandates (GDPR, CCPA, ISO).</text> </g> <!-- Social --> <g transform="translate(0, 150)"> <rect width="340" height="65" rx="8" fill="#ffffff05"/> <circle cx="25" cy="32" r="15" fill="#38bdf820" stroke="#38bdf8" stroke-width="1"/> <circle cx="22" cy="30" r="3" fill="#38bdf8"/> <circle cx="28" cy="30" r="3" fill="#38bdf8"/> <text x="50" y="28" font-family="Inter, sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Social &amp; Organizational</text> <text x="50" y="45" font-family="Inter, sans-serif" font-size="11" fill="#94a3b8">Culture shifts, team onboarding, workflow changes.</text> </g> <!-- Educational --> <g transform="translate(0, 225)"> <rect width="340" height="65" rx="8" fill="#ffffff05"/> <circle cx="25" cy="32" r="15" fill="#10b98120" stroke="#10b981" stroke-width="1"/> <path d="M 20 28 L 30 28 M 20 32 L 30 32 M 20 36 L 26 36" stroke="#10b981" stroke-width="2"/> <text x="50" y="28" font-family="Inter, sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Educational</text> <text x="50" y="45" font-family="Inter, sans-serif" font-size="11" fill="#94a3b8">Knowledge gaps and troubleshooting needs.</text> </g> </g> <!-- RIGHT PANEL: AUDIENCE --> <rect x="470" y="120" width="390" height="400" rx="16" fill="#ffffff0a" stroke="#ffffff20"/> <text x="495" y="155" font-family="Inter, sans-serif" font-weight="700" font-size="20" fill="#38bdf8">02. AUDIENCE</text> <text x="495" y="175" font-family="Inter, sans-serif" font-size="12" fill="#94a3b8">The Target — Minimizing cognitive load for the reader.</text> <!-- Audience Hierarchy Visualization --> <g transform="translate(495, 200)"> <!-- Primary --> <path d="M 0 0 L 340 0 L 320 50 L 20 50 Z" fill="#38bdf820" stroke="#38bdf8" stroke-width="1"/> <text x="170" y="32" text-anchor="middle" font-family="Inter, sans-serif" font-weight="700" font-size="14" fill="#f8fafc">PRIMARY: Direct Users</text> <!-- Secondary --> <g transform="translate(0, 60)"> <path d="M 20 0 L 320 0 L 300 50 L 40 50 Z" fill="#ffffff08" stroke="#ffffff20" stroke-width="1"/> <text x="170" y="32" text-anchor="middle" font-family="Inter, sans-serif" font-weight="600" font-size="13" fill="#94a3b8">SECONDARY: Advisors &amp; Implementers</text> </g> <!-- Tertiary --> <g transform="translate(0, 120)"> <path d="M 40 0 L 300 0 L 280 50 L 60 50 Z" fill="#ffffff08" stroke="#ffffff20" stroke-width="1"/> <text x="170" y="32" text-anchor="middle" font-family="Inter, sans-serif" font-weight="600" font-size="13" fill="#94a3b8">TERTIARY: Auditors &amp; Historians</text> </g> <!-- Gatekeepers --> <g transform="translate(0, 180)"> <path d="M 60 0 L 280 0 L 260 50 L 80 50 Z" fill="#e879f915" stroke="#e879f9" stroke-width="1"/> <text x="170" y="32" text-anchor="middle" font-family="Inter, sans-serif" font-weight="700" font-size="13" fill="#f8fafc">GATEKEEPERS: Managers &amp; Editors</text> </g> <!-- Audience Insight Box --> <g transform="translate(0, 250)"> <rect width="340" height="60" rx="8" fill="#00000030" stroke="#38bdf840" stroke-dasharray="4 2"/> <text x="170" y="25" text-anchor="middle" font-family="Inter, sans-serif" font-style="italic" font-size="12" fill="#38bdf8">"The goal is to minimize cognitive load."</text> <text x="170" y="42" text-anchor="middle" font-family="Inter, sans-serif" font-size="11" fill="#94a3b8">— Audience-Centered Design</text> </g> </g> <!-- Central Connector: Signal vs Noise --> <g transform="translate(430, 300)"> <path d="M 0 -150 Q 20 -75 0 0 Q -20 75 0 150" fill="none" stroke="#f59e0b" stroke-width="2" stroke-dasharray="5 5" opacity="0.3"/> <circle r="20" fill="#1e1b4b" stroke="#f59e0b" stroke-width="2" filter="url(#glow)"/> <path d="M -8 0 L 8 0 M 0 -8 L 0 8" stroke="#f59e0b" stroke-width="2" transform="rotate(45)"/> </g> <!-- Footer Info --> <text x="40" y="545" font-family="Inter, sans-serif" font-size="10" fill="#475569" font-weight="600">TPW WIKI // SECTION 1.2</text> <text x="860" y="545" text-anchor="end" font-family="Inter, sans-serif" font-size="10" fill="#475569" font-weight="600">CORE ENGINEERING REQUIREMENT</text> </svg>The Rhetorical Situation: Purpose and Audience image 1The Rhetorical Situation: Purpose and Audience - TPW: Technical & Professional Writing - image 1https://www.getlykke.com/explore/public/tpw-technical-professional-writing-eeaeb115-8bf5-4fb1-8e48-7e86fd368469/media/the-rhetorical-situation/svg/1The Rhetorical Situation: Purpose and Audience diagram 1The Rhetorical Situation: Purpose and Audience - TPW: Technical & Professional Writing - diagram 1https://www.getlykke.com/explore/public/tpw-technical-professional-writing-eeaeb115-8bf5-4fb1-8e48-7e86fd368469/media/the-rhetorical-situation/svg/2The Rhetorical Situation: Purpose and Audience diagram 2The Rhetorical Situation: Purpose and Audience - TPW: Technical & Professional Writing - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#f59e0b"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <pattern id="grid" width="30" height="30" patternUnits="userSpaceOnUse"> <path d="M 30 0 L 0 0 0 30" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="3" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="40" y="60" font-family="Inter, system-ui, sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="-0.02em">ADVANCED AUDIENCE ANALYSIS</text> <rect x="40" y="75" width="120" height="4" rx="2" fill="url(#accentGrad)"/> <text x="175" y="78" font-family="Inter, sans-serif" font-size="14" fill="#94a3b8" font-weight="500">TECHNICAL COMMUNICATION FRAMEWORK v2.0</text> <!-- Main Panel: The APS --> <rect x="40" y="110" width="280" height="410" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="145" font-family="Inter, sans-serif" font-weight="700" font-size="18" fill="#38bdf8">The Audience Profile Sheet</text> <text x="60" y="165" font-family="Inter, sans-serif" font-size="12" fill="#94a3b8">Diagnostic Instrument for Stakeholders</text> <!-- APS Dimensions --> <g transform="translate(60, 195)"> <!-- Technical --> <circle cx="12" cy="12" r="12" fill="#38bdf820" stroke="#38bdf8" stroke-width="1"/> <path d="M8 12l3 3 5-5" stroke="#38bdf8" fill="none" stroke-width="2"/> <text x="35" y="12" font-family="Inter, sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Technical Depth</text> <text x="35" y="28" font-family="Inter, sans-serif" font-size="11" fill="#94a3b8">Expert • Informed • Layperson</text> <!-- Operational --> <g transform="translate(0, 55)"> <circle cx="12" cy="12" r="12" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1"/> <rect x="8" y="8" width="8" height="8" fill="none" stroke="#f59e0b" stroke-width="1.5"/> <text x="35" y="12" font-family="Inter, sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Operational Context</text> <text x="35" y="28" font-family="Inter, sans-serif" font-size="11" fill="#94a3b8">Field • Office • High-Stress</text> </g> <!-- Attitudinal --> <g transform="translate(0, 110)"> <circle cx="12" cy="12" r="12" fill="#e879f920" stroke="#e879f9" stroke-width="1"/> <path d="M7 12h10M12 7v10" stroke="#e879f9" stroke-width="1.5" transform="rotate(45, 12, 12)"/> <text x="35" y="12" font-family="Inter, sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Attitudinal State</text> <text x="35" y="28" font-family="Inter, sans-serif" font-size="11" fill="#94a3b8">Skeptical • Neutral • Hostile</text> </g> <!-- Demographics --> <g transform="translate(0, 165)"> <circle cx="12" cy="12" r="12" fill="#94a3b820" stroke="#94a3b8" stroke-width="1"/> <circle cx="12" cy="10" r="3" fill="none" stroke="#94a3b8" stroke-width="1.5"/> <path d="M7 17c0-2 2-3 5-3s5 1 5 3" fill="none" stroke="#94a3b8" stroke-width="1.5"/> <text x="35" y="12" font-family="Inter, sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Demographics</text> <text x="35" y="28" font-family="Inter, sans-serif" font-size="11" fill="#94a3b8">Culture • Language • Education</text> </g> </g> <!-- Center Panel: The Formula --> <rect x="340" y="110" width="520" height="240" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="370" y="145" font-family="Inter, sans-serif" font-weight="700" font-size="18" fill="#f59e0b">Needs Assessment Logic</text> <!-- Formula Visualization --> <g transform="translate(370, 180)"> <rect width="460" height="140" rx="12" fill="#00000030"/> <text x="230" y="65" font-family="Courier New, monospace" font-weight="700" font-size="36" fill="#f8fafc" text-anchor="middle" filter="url(#glow)"> N = (K<tspan baseline-shift="sub" font-size="20">r</tspan> - K<tspan baseline-shift="sub" font-size="20">c</tspan>) × U </text> <g transform="translate(40, 95)" font-family="Inter, sans-serif" font-size="11" fill="#94a3b8"> <text x="0" y="0">N: Total Need</text> <text x="110" y="0">Kr: Required Knowledge</text> <text x="260" y="0">Kc: Current Knowledge</text> <text x="390" y="0">U: Urgency</text> </g> <path d="M165 75 L165 85 M245 75 L245 85" stroke="#ffffff20" stroke-width="1"/> </g> <!-- Bottom Right: The Curse of Knowledge --> <rect x="340" y="370" width="520" height="150" rx="16" fill="#e11d4815" stroke="#e11d4830"/> <g transform="translate(370, 405)"> <path d="M0 0 L24 0 L12 -20 Z" fill="#e11d48" transform="translate(0, 15)"/> <text x="8" y="12" font-family="Inter, sans-serif" font-weight="900" font-size="14" fill="#f8fafc">!</text> <text x="40" y="5" font-family="Inter, sans-serif" font-weight="700" font-size="18" fill="#f8fafc">The Curse of Knowledge</text> <text x="40" y="30" font-family="Inter, sans-serif" font-size="13" fill="#cbd5e1" width="400"> The cognitive bias where the writer assumes the reader has the same </text> <text x="40" y="48" font-family="Inter, sans-serif" font-size="13" fill="#cbd5e1"> background context. This leads to jargon-heavy, opaque documentation. </text> <!-- Visual Gap --> <g transform="translate(40, 75)"> <rect width="120" height="8" rx="4" fill="#38bdf8"/> <text x="0" y="-8" font-family="Inter, sans-serif" font-size="10" fill="#38bdf8" font-weight="700">WRITER CONTEXT</text> <rect x="200" width="120" height="8" rx="4" fill="#f59e0b"/> <text x="200" y="-8" font-family="Inter, sans-serif" font-size="10" fill="#f59e0b" font-weight="700">READER CONTEXT</text> <path d="M125 4 Q160 20 195 4" stroke="#e11d48" fill="none" stroke-width="2" stroke-dasharray="4 2"/> <text x="160" y="35" font-family="Inter, sans-serif" font-size="10" fill="#e11d48" text-anchor="middle" font-weight="700">COGNITIVE GAP</text> </g> </g> <!-- Decorative Elements --> <circle cx="850" cy="50" r="30" fill="none" stroke="#ffffff08" stroke-width="8"/> <circle cx="870" cy="70" r="15" fill="none" stroke="#38bdf820" stroke-width="4"/> <path d="M300 560 L340 520" stroke="#ffffff05" stroke-width="20"/> </svg>Advanced Audience Analysis image 1Advanced Audience Analysis - TPW: Technical & Professional Writing - image 1https://www.getlykke.com/explore/public/tpw-technical-professional-writing-eeaeb115-8bf5-4fb1-8e48-7e86fd368469/media/audience-analysis-tools/svg/1Advanced Audience Analysis diagram 1Advanced Audience Analysis - TPW: Technical & Professional Writing - diagram 1https://www.getlykke.com/explore/public/tpw-technical-professional-writing-eeaeb115-8bf5-4fb1-8e48-7e86fd368469/media/audience-analysis-tools/svg/2Advanced Audience Analysis diagram 2Advanced Audience Analysis - TPW: Technical & Professional Writing - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#f59e0b"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="3" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="450" y="60" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="32" font-weight="bold" letter-spacing="1">INTERCULTURAL COMMUNICATION &amp; SENSITIVITY</text> <text x="450" y="85" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="14" font-weight="300" letter-spacing="2">FROM MONOLITHIC AUDIENCES TO GLOBAL MEDIATION</text> <!-- Comparison Panels --> <!-- Ethnocentrism Card --> <rect x="40" y="120" width="400" height="220" rx="16" fill="#ffffff0a" stroke="#f59e0b44" stroke-width="1"/> <rect x="40" y="120" width="6" height="220" rx="3" fill="#f59e0b"/> <text x="65" y="155" fill="#f59e0b" font-family="sans-serif" font-size="20" font-weight="bold">Ethnocentrism</text> <text x="65" y="175" fill="#94a3b8" font-family="sans-serif" font-size="12" font-style="italic">"My culture is the default standard."</text> <circle cx="80" cy="210" r="4" fill="#f59e0b"/> <text x="95" y="214" fill="#f8fafc" font-family="sans-serif" font-size="13">Localized metaphors (e.g., "Home run")</text> <circle cx="80" cy="240" r="4" fill="#f59e0b"/> <text x="95" y="244" fill="#f8fafc" font-family="sans-serif" font-size="13">Assumed universal reading directions</text> <circle cx="80" cy="270" r="4" fill="#f59e0b"/> <text x="95" y="274" fill="#f8fafc" font-family="sans-serif" font-size="13">Western-centric naming conventions</text> <rect x="65" y="300" width="350" height="1" fill="#ffffff15"/> <text x="65" y="320" fill="#94a3b8" font-family="sans-serif" font-size="11" font-weight="bold">GOAL: LOCAL EFFICIENCY</text> <!-- Ethnorelativism Card --> <rect x="460" y="120" width="400" height="220" rx="16" fill="#ffffff0a" stroke="#38bdf844" stroke-width="1"/> <rect x="854" y="120" width="6" height="220" rx="3" fill="#38bdf8"/> <text x="485" y="155" fill="#38bdf8" font-family="sans-serif" font-size="20" font-weight="bold">Ethnorelativism</text> <text x="485" y="175" fill="#94a3b8" font-family="sans-serif" font-size="12" font-style="italic">"My culture is one of many valid systems."</text> <circle cx="500" cy="210" r="4" fill="#38bdf8"/> <text x="515" y="214" fill="#f8fafc" font-family="sans-serif" font-size="13">Context-aware clarity (BLUF vs. High-Context)</text> <circle cx="500" cy="240" r="4" fill="#38bdf8"/> <text x="515" y="244" fill="#f8fafc" font-family="sans-serif" font-size="13">Localization &amp; 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Denial --> <circle cx="80" cy="460" r="12" fill="#0f172a" stroke="#f59e0b" stroke-width="3"/> <text x="80" y="490" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="12" font-weight="bold">Denial</text> <text x="80" y="505" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10">Simplistic views</text> <!-- 2. Defense --> <circle cx="220" cy="460" r="12" fill="#0f172a" stroke="#f59e0b" stroke-width="3"/> <text x="220" y="490" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="12" font-weight="bold">Defense</text> <text x="220" y="505" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10">Us vs. Them</text> <!-- 3. 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Integration --> <circle cx="820" cy="460" r="12" fill="#0f172a" stroke="#38bdf8" stroke-width="3"/> <text x="820" y="490" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="12" font-weight="bold">Integration</text> <text x="820" y="505" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10">Multicultural frame</text> <!-- Key Insight Box --> <rect x="620" y="20" width="240" height="40" rx="8" fill="#e879f922" stroke="#e879f9" stroke-width="1"/> <text x="740" y="45" text-anchor="middle" fill="#e879f9" font-family="sans-serif" font-size="11" font-weight="bold">KEY: MOVE BEYOND MINIMIZATION</text> <!-- Decorative Logic Icon --> <g transform="translate(40, 30)"> <rect width="24" height="24" rx="4" fill="#38bdf822" stroke="#38bdf8" stroke-width="1.5"/> <path d="M 6 12 L 10 16 L 18 8" stroke="#38bdf8" stroke-width="2" fill="none"/> </g> </svg>Intercultural Communication and Sensitivity image 1Intercultural Communication and Sensitivity - TPW: Technical & Professional Writing - image 1https://www.getlykke.com/explore/public/tpw-technical-professional-writing-eeaeb115-8bf5-4fb1-8e48-7e86fd368469/media/intercultural-communication/svg/1Intercultural Communication and Sensitivity diagram 1Intercultural Communication and Sensitivity - TPW: Technical & Professional Writing - diagram 1https://www.getlykke.com/explore/public/tpw-technical-professional-writing-eeaeb115-8bf5-4fb1-8e48-7e86fd368469/media/intercultural-communication/svg/2Intercultural Communication and Sensitivity diagram 2Intercultural Communication and Sensitivity - TPW: Technical & Professional Writing - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="3" result="blur"/> <feComposite in="SourceGraphic" in2="blur" operator="over"/> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Header Section --> <text x="450" y="60" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-weight="800" font-size="32" letter-spacing="1">DOCUMENT DESIGN &amp; ACCESSIBILITY</text> <text x="450" y="85" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="14" font-weight="400" letter-spacing="2">THE FUNCTIONAL INTERFACE OF TECHNICAL WRITING</text> <rect x="400" y="95" width="100" height="3" fill="#f59e0b" rx="1.5"/> <!-- Left Column: P.A.L.E.S. Criteria --> <rect x="40" y="130" width="260" height="390" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="60" y="165" fill="#f59e0b" font-family="sans-serif" font-weight="700" font-size="18">P.A.L.E.S. CRITERIA</text> <g transform="translate(60, 190)"> <circle cx="12" cy="12" r="12" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1"/> <text x="12" y="17" text-anchor="middle" fill="#f59e0b" font-family="sans-serif" font-weight="bold" font-size="12">P</text> <text x="35" y="10" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="14">Purpose</text> <text x="35" y="24" fill="#94a3b8" font-family="sans-serif" font-size="11">Does the design facilitate the goal?</text> </g> <g transform="translate(60, 245)"> <circle cx="12" cy="12" r="12" fill="#38bdf820" stroke="#38bdf8" stroke-width="1"/> <text x="12" y="17" text-anchor="middle" fill="#38bdf8" font-family="sans-serif" font-weight="bold" font-size="12">A</text> <text x="35" y="10" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="14">Audience</text> <text x="35" y="24" fill="#94a3b8" font-family="sans-serif" font-size="11">Appropriate visual complexity?</text> </g> <g transform="translate(60, 300)"> <circle cx="12" cy="12" r="12" fill="#e879f920" stroke="#e879f9" stroke-width="1"/> <text x="12" y="17" text-anchor="middle" fill="#e879f9" font-family="sans-serif" font-weight="bold" font-size="12">L</text> <text x="35" y="10" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="14">Language</text> <text x="35" y="24" fill="#94a3b8" font-family="sans-serif" font-size="11">Layout supports linguistic register.</text> </g> <g transform="translate(60, 355)"> <circle cx="12" cy="12" r="12" fill="#38bdf820" stroke="#38bdf8" stroke-width="1"/> <text x="12" y="17" text-anchor="middle" fill="#38bdf8" font-family="sans-serif" font-weight="bold" font-size="12">E</text> <text x="35" y="10" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="14">Evidence</text> <text x="35" y="24" fill="#94a3b8" font-family="sans-serif" font-size="11">Logical data visualization integration.</text> </g> <g transform="translate(60, 410)"> <circle cx="12" cy="12" r="12" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1"/> <text x="12" y="17" text-anchor="middle" fill="#f59e0b" font-family="sans-serif" font-weight="bold" font-size="12">S</text> <text x="35" y="10" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="14">Structure</text> <text x="35" y="24" fill="#94a3b8" font-family="sans-serif" font-size="11">Intuitive and navigable hierarchy.</text> </g> <!-- Center Column: Information Scaffolding --> <rect x="320" y="130" width="260" height="390" rx="16" fill="#ffffff12" stroke="#ffffff20" stroke-width="1"/> <text x="450" y="165" text-anchor="middle" fill="#38bdf8" font-family="sans-serif" font-weight="700" font-size="18">THE MENTAL MAP</text> <!-- Document Mockup --> <g transform="translate(350, 190)"> <rect width="200" height="260" rx="4" fill="#0f172a" stroke="#38bdf8" stroke-width="1"/> <!-- H1 --> <rect x="20" y="25" width="120" height="12" rx="2" fill="#f59e0b"/> <text x="145" y="35" fill="#94a3b8" font-family="sans-serif" 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Remove</tspan> <tspan x="620" dy="1.4em">redundant labels. 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DATA FOUNDATIONS</text> <g transform="translate(60, 185)"> <rect width="220" height="65" rx="8" fill="#ffffff05"/> <text x="10" y="20" font-family="sans-serif" font-weight="600" font-size="13" fill="#f59e0b">CATEGORICAL (Qualitative)</text> <text x="10" y="38" font-family="sans-serif" font-size="11" fill="#94a3b8">• NOMINAL: Unordered labels</text> <text x="10" y="52" font-family="sans-serif" font-size="11" fill="#94a3b8">• ORDINAL: Logical sequences</text> <rect y="80" width="220" height="65" rx="8" fill="#ffffff05"/> <text x="10" y="100" font-family="sans-serif" font-weight="600" font-size="13" fill="#e879f9">NUMERICAL (Quantitative)</text> <text x="10" y="118" font-family="sans-serif" font-size="11" fill="#94a3b8">• DISCRETE: Countable values</text> <text x="10" y="132" font-family="sans-serif" font-size="11" fill="#94a3b8">• CONTINUOUS: Measurable ranges</text> </g> <text x="60" y="365" font-family="sans-serif" font-weight="600" font-size="12" fill="#f8fafc">THE MAPPING PRINCIPLE</text> <text x="60" y="385" font-family="sans-serif" font-size="11" fill="#94a3b8" width="220"> <tspan x="60" dy="0">Effectiveness depends on how math</tspan> <tspan x="60" dy="14">properties map to visual properties</tspan> <tspan x="60" dy="14">(length, position, color, area).</tspan> </text> <!-- Panel 2: Table Anatomy --> <rect x="320" y="130" width="260" height="340" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="340" y="160" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">2. 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GRAPH MECHANICS</text> <g transform="translate(640, 190)"> <!-- Mini Graph --> <line x1="0" y1="0" x2="0" y2="100" stroke="#94a3b8" stroke-width="2"/> <line x1="0" y1="100" x2="150" y2="100" stroke="#94a3b8" stroke-width="2"/> <path d="M 0 80 Q 40 70 70 40 T 150 10" fill="none" stroke="#e879f9" stroke-width="3" filter="glow"/> <text x="-35" y="50" transform="rotate(-90 -35 50)" font-family="sans-serif" font-size="10" fill="#f59e0b" font-weight="bold">Y: DEPENDENT</text> <text x="75" y="115" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#f59e0b" font-weight="bold">X: INDEPENDENT</text> <!-- Legend --> <rect x="100" y="30" width="60" height="30" rx="4" fill="#ffffff10"/> <line x1="105" y1="40" x2="115" y2="40" stroke="#e879f9" stroke-width="2"/> <text x="120" y="43" font-family="sans-serif" font-size="8" fill="#f8fafc">Trend A</text> </g> <g transform="translate(620, 340)"> <text x="0" y="0" font-family="sans-serif" font-weight="600" font-size="12" fill="#f8fafc">AXIS PRINCIPLES</text> <text x="0" y="20" font-family="sans-serif" font-size="11" fill="#94a3b8">• Zero Baseline for Bar Charts</text> <text x="0" y="35" font-family="sans-serif" font-size="11" fill="#94a3b8">• Logical Tick Intervals (2, 5, 10)</text> <text x="0" y="50" font-family="sans-serif" font-size="11" fill="#94a3b8">• Direct Labeling over Legends</text> <text x="0" y="65" font-family="sans-serif" font-size="11" fill="#94a3b8">• Units in Parentheses: Time (s)</text> </g> <!-- Footer / Key Takeaway --> <rect x="40" y="490" width="820" height="40" rx="20" fill="#38bdf820" stroke="#38bdf840"/> <text x="450" y="516" font-family="sans-serif" font-weight="700" font-size="14" fill="#38bdf8" text-anchor="middle">FUNCTIONAL EFFICIENCY OVER DECORATION: DATA MUST BE SCANNABLE, PRECISE, AND HONEST.</text> <!-- Decorative Elements --> <circle cx="850" cy="50" r="30" fill="#e879f910"/> <circle cx="850" cy="50" r="15" fill="#e879f920"/> </svg>Tables, Charts, and Graphs image 1Tables, Charts, and Graphs - TPW: Technical & Professional Writing - image 1https://www.getlykke.com/explore/public/tpw-technical-professional-writing-eeaeb115-8bf5-4fb1-8e48-7e86fd368469/media/tables-charts-and-graphs/svg/1Tables, Charts, and Graphs diagram 1Tables, Charts, and Graphs - TPW: Technical & Professional Writing - diagram 1https://www.getlykke.com/explore/public/tpw-technical-professional-writing-eeaeb115-8bf5-4fb1-8e48-7e86fd368469/media/tables-charts-and-graphs/svg/2Tables, Charts, and Graphs diagram 2Tables, Charts, and Graphs - TPW: Technical & Professional Writing - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <pattern 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font-size="18" fill="#f8fafc">The F-Pattern</text> <text x="60" y="180" font-family="sans-serif" font-size="12" fill="#94a3b8">Visual Scanning Behavior</text> <!-- F-Pattern Illustration --> <rect x="70" y="200" width="200" height="160" rx="4" fill="#0f172a" stroke="#ffffff10"/> <!-- Heatmap lines --> <rect x="80" y="215" width="180" height="12" rx="2" fill="#f59e0b" fill-opacity="0.8"/> <rect x="80" y="235" width="180" height="12" rx="2" fill="#f59e0b" fill-opacity="0.5"/> <rect x="80" y="255" width="120" height="12" rx="2" fill="#f59e0b" fill-opacity="0.7"/> <rect x="80" y="275" width="40" height="12" rx="2" fill="#f59e0b" fill-opacity="0.4"/> <rect x="80" y="295" width="40" height="12" rx="2" fill="#f59e0b" fill-opacity="0.3"/> <rect x="80" y="315" width="40" height="12" rx="2" fill="#f59e0b" fill-opacity="0.2"/> <path d="M 85 210 L 260 210 M 85 210 L 85 340 M 85 250 L 200 250" stroke="#38bdf8" stroke-width="2" fill="none" stroke-dasharray="4" opacity="0.6"/> <!-- Panel 2: Parallelism Logic --> <rect x="320" y="130" width="260" height="260" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="340" y="160" font-family="sans-serif" font-weight="700" font-size="18" fill="#f8fafc">Parallel Logic</text> <text x="340" y="180" font-family="sans-serif" font-size="12" fill="#94a3b8">The Symmetry of Syntax</text> <!-- Math Formula Visual --> <rect x="340" y="200" width="220" height="160" rx="8" fill="#ffffff05"/> <text x="450" y="250" font-family="serif" font-style="italic" font-size="22" fill="#e879f9" text-anchor="middle">G(i₁) = G(i₂) = G(iₙ)</text> <line x1="370" y1="265" x2="530" y2="265" stroke="#ffffff20" stroke-width="1"/> <g font-family="sans-serif" font-size="11" fill="#f8fafc"> <circle cx="370" cy="290" r="4" fill="#38bdf8"/> <text x="385" y="294">Action Verb A</text> <circle cx="370" cy="315" r="4" fill="#38bdf8"/> <text x="385" y="319">Action Verb B</text> <circle cx="370" cy="340" r="4" fill="#38bdf8"/> <text x="385" y="344">Action Verb C</text> 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fill="#38bdf8">1.</text> <text x="15" y="115" font-family="sans-serif" font-weight="bold" font-size="12" fill="#38bdf8">2.</text> <text x="15" y="130" font-family="sans-serif" font-weight="bold" font-size="12" fill="#38bdf8">3.</text> <text x="40" y="100" font-family="sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">Numbered (Ordered)</text> <text x="40" y="117" font-family="sans-serif" font-size="11" fill="#94a3b8">Sequence, priority, or steps.</text> </g> <!-- Footer: The Theorem --> <rect x="40" y="410" width="820" height="110" rx="16" fill="url(#accentGrad)" fill-opacity="0.1" stroke="#38bdf830"/> <text x="70" y="445" font-family="sans-serif" font-weight="800" font-size="14" fill="#38bdf8" letter-spacing="1">THE SCANNABILITY THEOREM</text> <text x="70" y="480" font-family="serif" font-style="italic" font-size="32" fill="#f8fafc">T ∝ 1 / (W · S)</text> <g font-family="sans-serif" font-size="12" fill="#94a3b8"> <text x="300" y="455"><tspan fill="#f8fafc" font-weight="bold">T</tspan> = Time to locate data</text> <text x="300" y="475"><tspan fill="#f8fafc" font-weight="bold">W</tspan> = Surrounding White Space</text> <text x="300" y="495"><tspan fill="#f8fafc" font-weight="bold">S</tspan> = Syntactic Isolation</text> </g> <path d="M 550 435 L 550 495" stroke="#ffffff20" stroke-width="1"/> <text x="575" y="455" font-family="sans-serif" font-size="12" fill="#f8fafc" font-weight="bold">Cognitive Load Theory</text> <text x="575" y="475" font-family="sans-serif" font-size="11" fill="#94a3b8" width="200">Lists function as cognitive shortcuts,</text> <text x="575" y="490" font-family="sans-serif" font-size="11" fill="#94a3b8">bypassing linear constraints of prose.</text> <!-- Decorative elements --> <circle cx="850" cy="50" r="30" fill="#e879f9" opacity="0.1"/> <circle cx="850" cy="50" r="15" fill="#e879f9" opacity="0.2"/> </svg>Lists and Formatting for Readability image 1Lists and Formatting for Readability - TPW: Technical & Professional Writing - image 1https://www.getlykke.com/explore/public/tpw-technical-professional-writing-eeaeb115-8bf5-4fb1-8e48-7e86fd368469/media/lists-and-formatting-for-readability/svg/1Lists and Formatting for Readability diagram 1Lists and Formatting for Readability - TPW: Technical & Professional Writing - diagram 1https://www.getlykke.com/explore/public/tpw-technical-professional-writing-eeaeb115-8bf5-4fb1-8e48-7e86fd368469/media/lists-and-formatting-for-readability/svg/2Lists and Formatting for Readability diagram 2Lists and Formatting for Readability - TPW: Technical & Professional Writing - diagram 2https://www.getlykke.com/explore/public/principles-of-public-speaking-5a7685ad-4af1-4273-b778-2de11a0f267d2026-04-20T04:52:48.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" 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Learning</text> <line x1="350" y1="105" x2="550" y2="105" stroke="url(#accentGrad)" stroke-width="3" stroke-linecap="round"/> <!-- Comparison Section --> <g transform="translate(50, 130)"> <!-- Traditional Card --> <rect width="385" height="180" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="20" y="35" font-family="sans-serif" font-weight="700" font-size="18" fill="#f8fafc">Traditional Publishing</text> <circle cx="350" cy="30" r="12" fill="#ef4444" fill-opacity="0.2"/> <path d="M346 26 L354 34 M354 26 L346 34" stroke="#ef4444" stroke-width="2"/> <g font-family="sans-serif" font-size="13" fill="#94a3b8"> <text x="20" y="70">• High Cost ($100 - $300+ per student)</text> <text x="20" y="95">• Delayed Access (Waiting for purchase)</text> <text x="20" y="120">• Fixed Content (Requires new editions)</text> <text x="20" y="145">• Expiring Access (Digital rentals)</text> </g> </g> <g transform="translate(465, 130)"> <!-- OER Card --> <rect width="385" height="180" rx="16" fill="#38bdf810" stroke="#38bdf840" stroke-width="1"/> <text x="20" y="35" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">Open Educational Resources</text> <circle cx="350" cy="30" r="12" fill="#22c55e" fill-opacity="0.2"/> <path d="M344 30 L348 34 L356 26" fill="none" stroke="#22c55e" stroke-width="2"/> <g font-family="sans-serif" font-size="13" fill="#f8fafc"> <text x="20" y="70">• Zero to Low-Cost ($0 - $25)</text> <text x="20" y="95">• Day One Access (Immediate availability)</text> <text x="20" y="120">• Fully Customizable (Real-time updates)</text> <text x="20" y="145">• Perpetual Access (Ownership of content)</text> </g> </g> <!-- The 5 Rs Framework Section --> <text x="450" y="360" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="22" fill="#f59e0b">The "Five Rs" Framework</text> <text x="450" y="380" text-anchor="middle" font-family="sans-serif" font-size="12" fill="#94a3b8">The legal and practical rights defining the OER movement</text> <g transform="translate(75, 410)"> <!-- R1: Retain --> <rect width="140" height="100" rx="12" fill="#ffffff05" stroke="#ffffff10"/> <circle cx="70" cy="35" r="20" fill="#38bdf820"/> <path d="M62 35 H78 M70 27 V43" stroke="#38bdf8" stroke-width="2" stroke-linecap="round"/> <text x="70" y="70" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">RETAIN</text> <text x="70" y="88" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">Make/Own Copies</text> <!-- R2: Reuse --> <g transform="translate(152, 0)"> <rect width="140" height="100" rx="12" fill="#ffffff05" stroke="#ffffff10"/> <circle cx="70" cy="35" r="20" fill="#e879f920"/> <path d="M60 35 A10 10 0 1 1 70 45" fill="none" stroke="#e879f9" stroke-width="2" stroke-linecap="round"/> <path d="M70 45 L66 45 M70 45 L70 41" fill="none" stroke="#e879f9" stroke-width="2" stroke-linecap="round"/> <text x="70" y="70" text-anchor="middle" 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stroke-width="1.5" fill="none"/> <text x="70" y="70" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">REMIX</text> <text x="70" y="88" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">Combine Content</text> </g> <!-- R5: Redistribute --> <g transform="translate(608, 0)"> <rect width="140" height="100" rx="12" fill="#ffffff05" stroke="#ffffff10"/> <circle cx="70" cy="35" r="20" fill="#38bdf820"/> <path d="M60 35 H80 M75 30 L80 35 L75 40" fill="none" stroke="#38bdf8" stroke-width="2" stroke-linecap="round"/> <text x="70" y="70" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">REDISTRIBUTE</text> <text x="70" y="88" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">Share with Others</text> </g> </g> <!-- Footer / Ecosystem Note --> <rect x="50" y="525" width="800" height="25" rx="8" fill="#ffffff05"/> <text x="450" y="542" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#64748b"> <tspan fill="#38bdf8" font-weight="bold">Lumen Learning</tspan> &amp; <tspan fill="#e879f9" font-weight="bold">Kaleidoscope Initiative</tspan> — Bridging OER Content with Enterprise Digital Courseware </text> </svg>Course Foundations and Open Educational Resources image 1Course Foundations and Open Educational Resources - Principles of Public Speaking - image 1https://www.getlykke.com/explore/public/principles-of-public-speaking-5a7685ad-4af1-4273-b778-2de11a0f267d/media/course-foundations-and-oer/svg/1Course Foundations and Open Educational Resources diagram 1Course Foundations and Open Educational Resources - Principles of Public Speaking - diagram 1<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accent-grad" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff08" /> </pattern> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Header Section --> <text x="450" y="60" text-anchor="middle" font-family="Arial, sans-serif" font-weight="800" font-size="34" fill="#f8fafc" letter-spacing="2">THE VALUE OF PUBLIC SPEAKING</text> <text x="450" y="85" text-anchor="middle" font-family="Arial, sans-serif" font-size="14" fill="#94a3b8" font-style="italic">The Intersection of Rhetoric, Cognitive Psychology, and Logical Formalism</text> <line x1="300" y1="105" x2="600" y2="105" stroke="url(#accent-grad)" stroke-width="2" opacity="0.6"/> <!-- Left Card: The Rhetorical Equation --> <rect x="40" y="130" width="260" height="390" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="60" y="165" font-family="Arial, sans-serif" font-weight="bold" font-size="18" fill="#f59e0b">THE RHETORICAL PILLARS</text> <g transform="translate(60, 190)"> <!-- Ethos --> <circle cx="20" cy="20" r="18" fill="#38bdf820" stroke="#38bdf8" stroke-width="1.5"/> <text x="20" y="25" text-anchor="middle" font-family="Arial, sans-serif" font-weight="bold" font-size="12" fill="#38bdf8">E</text> <text x="50" y="18" font-family="Arial, sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">ETHOS</text> <text x="50" y="32" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Credibility &amp; Authority</text> <!-- Logos --> <g transform="translate(0, 60)"> <circle cx="20" cy="20" r="18" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1.5"/> <text x="20" y="25" text-anchor="middle" font-family="Arial, sans-serif" font-weight="bold" font-size="12" fill="#f59e0b">L</text> <text x="50" y="18" font-family="Arial, sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">LOGOS</text> <text x="50" y="32" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Logical Consistency</text> </g> <!-- Pathos --> <g transform="translate(0, 120)"> <circle cx="20" cy="20" r="18" fill="#e879f920" stroke="#e879f9" stroke-width="1.5"/> <text x="20" y="25" text-anchor="middle" font-family="Arial, sans-serif" font-weight="bold" font-size="12" fill="#e879f9">P</text> <text x="50" y="18" font-family="Arial, sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">PATHOS</text> <text x="50" y="32" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Emotional Alignment</text> </g> </g> <rect x="60" y="390" width="220" height="100" rx="8" fill="#00000030"/> <text x="75" y="415" font-family="Courier New, monospace" font-size="13" fill="#38bdf8">The Persuasion Equation:</text> <text x="75" y="445" font-family="serif" font-size="18" fill="#f8fafc">E = w<tspan baseline-shift="sub" font-size="10">e</tspan>(E) + w<tspan baseline-shift="sub" font-size="10">l</tspan>(L) + w<tspan baseline-shift="sub" font-size="10">p</tspan>(P)</text> <text x="75" y="475" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8">Effectiveness is a weighted function</text> <!-- Center Card: Transactional Model --> <rect x="320" y="130" width="260" height="390" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="340" y="165" font-family="Arial, sans-serif" font-weight="bold" font-size="18" fill="#38bdf8">COMMUNICATION LOOP</text> <!-- Diagram --> <circle cx="450" cy="270" r="70" fill="none" stroke="#ffffff20" stroke-dasharray="4 4"/> <!-- Source --> <rect x="340" y="245" width="60" height="50" rx="4" fill="#38bdf820" stroke="#38bdf8"/> <text x="370" y="275" text-anchor="middle" font-family="Arial, sans-serif" 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font-weight="bold">NOISE</text> <text x="340" y="380" font-family="Arial, sans-serif" font-size="13" fill="#f8fafc" font-weight="bold">High-Bandwidth Protocol:</text> <text x="340" y="405" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">• Salience &amp; Nuance</text> <text x="340" y="425" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">• Immediate Feedback Loops</text> <text x="340" y="445" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">• Real-time Error Correction</text> <text x="340" y="465" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">• Contextual Encoding</text> <!-- Right Card: Cognitive Growth --> <rect x="600" y="130" width="260" height="390" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="620" y="165" font-family="Arial, sans-serif" font-weight="bold" font-size="18" fill="#e879f9">COGNITIVE GROWTH</text> <g transform="translate(620, 200)"> <rect x="0" y="0" width="220" height="45" rx="6" fill="#ffffff05"/> <text x="10" y="20" font-family="Arial, sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">1. Systematic Desensitization</text> <text x="10" y="36" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Managing Glossophobia via exposure.</text> <rect x="0" y="60" width="220" height="45" rx="6" fill="#ffffff05"/> <text x="10" y="80" font-family="Arial, sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">2. Executive Function</text> <text x="10" y="96" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Managing high cognitive load.</text> <rect x="0" y="120" width="220" height="45" rx="6" fill="#ffffff05"/> <text x="10" y="140" font-family="Arial, sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">3. The Trivium Interface</text> <text x="10" y="156" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Grammar → Logic → Rhetoric.</text> </g> <!-- Bottom Visual: The Forcing Function --> <path d="M 620 410 L 840 410" stroke="#ffffff20" stroke-width="1"/> <text x="620" y="435" font-family="Arial, sans-serif" font-size="14" fill="#f8fafc" font-weight="bold">The "Forcing Function"</text> <text x="620" y="455" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">Public speaking forces the brain to</text> <text x="620" y="472" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">organize internal chaos into</text> <text x="620" y="489" font-family="Arial, sans-serif" font-size="12" fill="#38bdf8" font-weight="bold">Structured Social Reality.</text> <!-- Decorative Accents --> <circle cx="40" cy="40" r="3" fill="#38bdf8"/> <circle cx="860" cy="40" r="3" fill="#e879f9"/> <circle cx="40" cy="520" r="3" fill="#f59e0b"/> <circle cx="860" cy="520" r="3" fill="#38bdf8"/> <!-- Arrow Marker --> <marker id="arrow" markerWidth="10" markerHeight="10" refX="9" refY="3" orient="auto" markerUnits="strokeWidth"> <path d="M0,0 L0,6 L9,3 z" fill="#f8fafc" /> </marker> </svg>The Value of Public Speaking image 1The Value of Public Speaking - Principles of Public Speaking - image 1https://www.getlykke.com/explore/public/principles-of-public-speaking-5a7685ad-4af1-4273-b778-2de11a0f267d/media/the-value-of-public-speaking/svg/1The Value of Public Speaking diagram 1The Value of Public Speaking - Principles of Public Speaking - diagram 1https://www.getlykke.com/explore/public/principles-of-public-speaking-5a7685ad-4af1-4273-b778-2de11a0f267d/media/the-value-of-public-speaking/svg/2The Value of Public Speaking diagram 2The Value of Public Speaking - Principles of Public Speaking - diagram 2https://www.getlykke.com/explore/public/principles-of-public-speaking-5a7685ad-4af1-4273-b778-2de11a0f267d/media/the-value-of-public-speaking/svg/3The Value of Public Speaking diagram 3The Value of Public Speaking - Principles of Public Speaking - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="linearGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#0ea5e9"/> </linearGradient> <linearGradient id="transGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#e879f9"/> <stop offset="100%" stop-color="#a855f7"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10" /> </pattern> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Header --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">THE COMMUNICATION PROCESS</text> <text x="450" y="75" text-anchor="middle" font-family="sans-serif" font-weight="400" font-size="16" fill="#94a3b8" letter-spacing="2">FROM TRANSMISSION TO MEANING-MAKING</text> <!-- Linear Model Panel --> <rect x="40" y="100" width="400" height="380" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="60" y="135" font-family="sans-serif" font-weight="700" font-size="20" fill="#38bdf8">The Linear Model</text> <text x="60" y="155" font-family="sans-serif" font-size="13" fill="#94a3b8">Shannon-Weaver (1949) — The Transmission Paradigm</text> <!-- Linear Diagram --> <g transform="translate(60, 180)"> <!-- Sender --> <circle cx="40" cy="60" r="30" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <text x="40" y="65" text-anchor="middle" font-family="sans-serif" font-size="10" font-weight="bold" fill="#f8fafc">SENDER</text> <!-- Arrow/Channel --> <line x1="75" y1="60" x2="285" y2="60" stroke="#94a3b8" stroke-width="2" stroke-dasharray="4 4"/> <path d="M 285 60 L 275 55 L 275 65 Z" fill="#94a3b8"/> <!-- Noise --> <path d="M 180 20 L 170 45 L 190 45 L 180 70" fill="none" stroke="#f59e0b" stroke-width="3" stroke-linecap="round"/> <text x="180" y="15" text-anchor="middle" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f59e0b">NOISE</text> <!-- Receiver --> <circle cx="320" cy="60" r="30" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <text x="320" y="65" text-anchor="middle" font-family="sans-serif" font-size="10" font-weight="bold" fill="#f8fafc">RECEIVER</text> <!-- Labels --> <text x="100" y="85" font-family="sans-serif" font-size="11" fill="#38bdf8">Encoding</text> <text x="250" y="85" font-family="sans-serif" font-size="11" fill="#38bdf8">Decoding</text> <text x="180" y="105" text-anchor="middle" font-family="sans-serif" font-size="12" font-style="italic" fill="#94a3b8">Channel (Air, Cable, Signal)</text> </g> <!-- Linear Description --> <g transform="translate(60, 320)"> <rect width="360" height="140" fill="#00000020" rx="8"/> <text x="15" y="25" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Key Characteristics:</text> <text x="15" y="50" font-family="sans-serif" font-size="12" fill="#94a3b8">• One-way flow (Injection model)</text> <text x="15" y="70" font-family="sans-serif" font-size="12" fill="#94a3b8">• Focus on data integrity &amp; technical accuracy</text> <text x="15" y="90" font-family="sans-serif" font-size="12" fill="#94a3b8">• Receiver is a passive destination</text> <text x="15" y="110" font-family="sans-serif" font-size="12" fill="#94a3b8">• Entropy &amp; Noise are primary obstacles</text> </g> <!-- Transactional Model Panel --> <rect x="460" y="100" width="400" height="380" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="480" y="135" font-family="sans-serif" font-weight="700" font-size="20" fill="#e879f9">The Transactional Model</text> <text x="480" y="155" font-family="sans-serif" font-size="13" fill="#94a3b8">Barnlund (1970) — The Circular Exchange</text> <!-- Transactional Diagram --> <g transform="translate(480, 180)"> <!-- Context Box --> <rect x="0" y="0" width="360" height="120" rx="12" fill="#e879f905" stroke="#e879f930" stroke-dasharray="2 2"/> <text x="180" y="-10" text-anchor="middle" font-family="sans-serif" font-size="11" font-weight="bold" fill="#e879f9" letter-spacing="1">SOCIAL &amp; CULTURAL CONTEXT</text> <!-- Communicator A --> <circle cx="120" cy="60" r="45" fill="#e879f915" stroke="#e879f9" stroke-width="2"/> <!-- Communicator B --> <circle cx="240" cy="60" r="45" fill="#e879f915" stroke="#e879f9" stroke-width="2"/> <!-- Shared Meaning Overlap --> <text x="180" y="65" text-anchor="middle" font-family="sans-serif" font-size="10" font-weight="bold" fill="#f8fafc">SHARED<tspan x="180" dy="12">MEANING</tspan></text> <text x="85" y="65" text-anchor="middle" font-family="sans-serif" font-size="9" fill="#f8fafc">COMMUNICATOR</text> <text x="275" y="65" text-anchor="middle" font-family="sans-serif" font-size="9" fill="#f8fafc">COMMUNICATOR</text> <!-- Circular Arrows --> <path d="M 150 20 Q 180 5 210 20" fill="none" stroke="#e879f9" stroke-width="2" marker-end="url(#arrowhead)"/> <path d="M 210 100 Q 180 115 150 100" fill="none" stroke="#e879f9" stroke-width="2" marker-end="url(#arrowhead)"/> </g> <!-- Transactional Description --> <g transform="translate(480, 320)"> <rect width="360" height="140" fill="#00000020" rx="8"/> <text x="15" y="25" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Key Characteristics:</text> <text x="15" y="50" font-family="sans-serif" font-size="12" fill="#94a3b8">• Simultaneous sending and receiving</text> <text x="15" y="70" font-family="sans-serif" font-size="12" fill="#94a3b8">• Meaning is co-created, not just sent</text> <text x="15" y="90" font-family="sans-serif" font-size="12" fill="#94a3b8">• Influenced by field of experience</text> <text x="15" y="110" font-family="sans-serif" font-size="12" fill="#94a3b8">• Constant non-verbal feedback loop</text> </g> <!-- Bottom Comparison Bar --> <rect x="40" y="500" width="820" height="40" rx="20" fill="#ffffff10"/> <text x="60" y="525" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">EVOLUTION:</text> <text x="150" y="525" font-family="sans-serif" font-size="13" fill="#94a3b8">From viewing communication as a </text> <text x="365" y="525" font-family="sans-serif" font-size="13" font-weight="bold" fill="#38bdf8">TECHNICAL SIGNAL</text> <text x="495" y="525" font-family="sans-serif" font-size="13" fill="#94a3b8">to a </text> <text x="530" y="525" font-family="sans-serif" font-size="13" font-weight="bold" fill="#e879f9">SOCIAL REALITY CONSTRUCT.</text> <!-- Arrowhead Marker --> <defs> <marker id="arrowhead" markerWidth="10" markerHeight="7" refX="0" refY="3.5" orient="auto"> <polygon points="0 0, 10 3.5, 0 7" fill="#e879f9" /> </marker> </defs> </svg>The Communication Process and Models image 1The Communication Process and Models - Principles of Public Speaking - image 1https://www.getlykke.com/explore/public/principles-of-public-speaking-5a7685ad-4af1-4273-b778-2de11a0f267d/media/the-communication-process/svg/1The Communication Process and Models diagram 1The Communication Process and Models - Principles of Public Speaking - diagram 1<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">RHETORIC &amp; CORE COMPETENCIES</text> <text x="450" y="75" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" letter-spacing="2">THE ARCHITECTURE OF PERSUASIVE COMMUNICATION</text> <line x1="350" y1="85" x2="550" y2="85" stroke="#38bdf8" stroke-width="2" opacity="0.5"/> <!-- Column 1: The 5 Canons --> <rect x="30" y="110" width="260" height="410" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="160" y="140" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">THE FIVE CANONS</text> <g transform="translate(50, 165)"> <!-- Invention --> <circle cx="20" cy="10" r="15" fill="#38bdf820" stroke="#38bdf8" stroke-width="1.5"/> <path d="M 15 10 L 25 10 M 20 5 L 20 15" stroke="#38bdf8" stroke-width="2"/> <text x="45" y="10" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">Invention</text> <text x="45" y="25" font-family="sans-serif" font-size="11" fill="#94a3b8">Discovery of arguments &amp; evidence.</text> <!-- Arrangement --> <g transform="translate(0, 55)"> <rect x="5" y="0" width="30" height="20" rx="4" fill="#38bdf820" stroke="#38bdf8" stroke-width="1.5"/> <line x1="10" y1="10" x2="30" y2="10" stroke="#38bdf8" stroke-width="1"/> <text x="45" y="10" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">Arrangement</text> <text x="45" y="25" font-family="sans-serif" font-size="11" fill="#94a3b8">Strategic structure &amp; organization.</text> </g> <!-- Style --> <g transform="translate(0, 110)"> <path d="M 5 15 L 20 5 L 35 15" fill="none" stroke="#38bdf8" stroke-width="1.5"/> <circle cx="20" cy="15" r="4" fill="#38bdf8"/> <text x="45" y="10" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">Style</text> <text x="45" y="25" font-family="sans-serif" font-size="11" fill="#94a3b8">Language choice &amp; rhetorical devices.</text> </g> <!-- Memory --> <g transform="translate(0, 165)"> <circle cx="20" cy="10" r="12" fill="none" stroke="#38bdf8" stroke-width="1.5"/> <circle cx="20" cy="10" r="4" fill="#38bdf8"/> <text x="45" y="10" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">Memory</text> <text x="45" y="25" font-family="sans-serif" font-size="11" fill="#94a3b8">Internalizing content for engagement.</text> </g> <!-- Delivery --> <g transform="translate(0, 220)"> <path d="M 5 5 L 35 5 L 20 25 Z" fill="#38bdf820" stroke="#38bdf8" stroke-width="1.5"/> <text x="45" y="10" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">Delivery</text> <text x="45" y="25" font-family="sans-serif" font-size="11" fill="#94a3b8">Vocal &amp; physical performance.</text> </g> </g> <!-- Column 2: The Three Pillars --> <rect x="320" y="110" width="260" height="410" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="450" y="140" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">THE THREE PILLARS</text> <!-- Triangle Diagram --> <g transform="translate(450, 280)"> <path d="M 0 -80 L 70 50 L -70 50 Z" fill="none" stroke="#e879f9" stroke-width="2" stroke-dasharray="4 4" opacity="0.5"/> <!-- Logos --> <g transform="translate(0, -80)"> <circle r="35" fill="#0f172a" stroke="#38bdf8" stroke-width="2"/> <text y="-45" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="14" fill="#38bdf8">LOGOS</text> <text y="5" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#f8fafc">LOGIC</text> <text y="18" text-anchor="middle" font-family="sans-serif" font-size="9" fill="#94a3b8">Evidence &amp; Reason</text> </g> <!-- Pathos --> <g transform="translate(70, 50)"> <circle r="35" fill="#0f172a" stroke="#e879f9" stroke-width="2"/> <text y="50" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="14" fill="#e879f9">PATHOS</text> <text y="5" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#f8fafc">EMOTION</text> <text y="18" text-anchor="middle" font-family="sans-serif" font-size="9" fill="#94a3b8">Values &amp; Stories</text> </g> <!-- Ethos --> <g transform="translate(-70, 50)"> <circle r="35" fill="#0f172a" stroke="#f59e0b" stroke-width="2"/> <text y="50" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f59e0b">ETHOS</text> <text y="5" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#f8fafc">CREDIBILITY</text> <text y="18" text-anchor="middle" font-family="sans-serif" font-size="9" fill="#94a3b8">Character &amp; Ethics</text> </g> </g> <text x="450" y="480" text-anchor="middle" font-family="sans-serif" font-size="12" fill="#94a3b8" font-style="italic">"The faculty of observing the available</text> <text x="450" y="495" text-anchor="middle" font-family="sans-serif" font-size="12" fill="#94a3b8" font-style="italic">means of persuasion." — Aristotle</text> <!-- Column 3: Learning Model --> <rect x="610" y="110" width="260" height="410" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="740" y="140" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">THE LEARNING MODEL</text> <g transform="translate(640, 180)"> <!-- Step 1 --> <rect width="200" height="60" rx="8" fill="#f59e0b10" stroke="#f59e0b30"/> <text x="10" y="25" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f59e0b">01. INSTRUCTION</text> <text x="10" y="42" font-family="sans-serif" font-size="11" fill="#94a3b8">Theory, organization, and ethics.</text> <!-- Arrow --> <path d="M 100 60 L 100 85" stroke="#f59e0b" stroke-width="1" stroke-dasharray="2 2" marker-end="url(#arrowhead)"/> <!-- Step 2 --> <g transform="translate(0, 90)"> <rect width="200" height="60" rx="8" fill="#f59e0b10" stroke="#f59e0b30"/> <text x="10" y="25" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f59e0b">02. IMITATION</text> <text x="10" y="42" font-family="sans-serif" font-size="11" fill="#94a3b8">Modeling and analyzing the masters.</text> </g> <!-- Arrow --> <path d="M 100 150 L 100 175" stroke="#f59e0b" stroke-width="1" stroke-dasharray="2 2"/> <!-- Step 3 --> <g transform="translate(0, 180)"> <rect width="200" height="60" rx="8" fill="#f59e0b10" stroke="#f59e0b30"/> <text x="10" y="25" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f59e0b">03. PRACTICE</text> <text x="10" y="42" font-family="sans-serif" font-size="11" fill="#94a3b8">Iterative performance &amp; critique.</text> </g> </g> <!-- Footer: PSCR --> <rect x="30" y="530" width="840" height="20" rx="4" fill="#38bdf820"/> <text x="450" y="545" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="10" fill="#38bdf8" letter-spacing="1">METRIC: PUBLIC SPEAKING COMPETENCE RUBRIC (PSCR) — OBJECTIVE ASSESSMENT STANDARDS</text> <!-- Decorative Accents --> <circle cx="30" cy="30" r="2" fill="#f59e0b"/> <circle cx="870" cy="30" r="2" fill="#e879f9"/> <circle cx="30" cy="530" r="2" fill="#38bdf8"/> <circle cx="870" cy="530" r="2" fill="#f8fafc"/> </svg>Rhetoric and Core Competencies image 1Rhetoric and Core Competencies - Principles of Public Speaking - image 1https://www.getlykke.com/explore/public/principles-of-public-speaking-5a7685ad-4af1-4273-b778-2de11a0f267d/media/rhetoric-and-core-competencies/svg/1Rhetoric and Core Competencies diagram 1Rhetoric and Core Competencies - Principles of Public Speaking - diagram 1https://www.getlykke.com/explore/public/principles-of-public-speaking-5a7685ad-4af1-4273-b778-2de11a0f267d/media/rhetoric-and-core-competencies/svg/2Rhetoric and Core Competencies diagram 2Rhetoric and Core Competencies - Principles of Public Speaking - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background and Grid --> <rect width="900" height="560" fill="url(#bg)"/> <g stroke="#ffffff08" stroke-width="1"> <line x1="0" y1="100" x2="900" y2="100"/> <line x1="0" y1="200" x2="900" y2="200"/> <line x1="0" y1="300" x2="900" y2="300"/> <line x1="0" y1="400" x2="900" y2="400"/> <line x1="0" y1="500" x2="900" y2="500"/> <line x1="100" y1="0" x2="100" y2="560"/> <line x1="300" y1="0" x2="300" y2="560"/> <line x1="500" y1="0" x2="500" y2="560"/> <line x1="700" y1="0" x2="700" y2="560"/> </g> <!-- Header --> <text x="40" y="60" font-family="sans-serif" font-size="32" font-weight="bold" fill="#f8fafc">LISTENING &amp; FEEDBACK</text> <text x="40" y="85" font-family="sans-serif" font-size="14" fill="#94a3b8" letter-spacing="1">THE COGNITIVE ARCHITECTURE OF HUMAN INTERACTION</text> <rect x="40" y="105" width="120" height="4" fill="url(#accentGrad)" rx="2"/> <!-- Section 1: Hearing vs Listening --> <rect x="40" y="140" width="400" height="180" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="170" font-family="sans-serif" font-size="18" font-weight="bold" fill="#38bdf8">I. THE PHYSIOLOGICAL DIVIDE</text> <!-- Hearing Column --> <g transform="translate(60, 190)"> <circle cx="20" cy="20" r="18" fill="#ffffff10" stroke="#94a3b8" stroke-dasharray="2 2"/> <path d="M15 15 Q25 20 15 25" fill="none" stroke="#94a3b8" stroke-width="2"/> <text x="50" y="15" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">HEARING</text> <text x="50" y="32" font-family="sans-serif" font-size="11" fill="#94a3b8">Passive Transducer</text> <text x="0" y="65" font-family="sans-serif" font-size="12" fill="#cbd5e1"> <tspan x="0" dy="0">• Involuntary reception</tspan> <tspan x="0" dy="18">• Sound wave transduction</tspan> <tspan x="0" dy="18">• Zero cognitive effort</tspan> </text> </g> <!-- Listening Column --> <g transform="translate(250, 190)"> <circle cx="20" cy="20" r="18" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <path d="M12 20 L18 20 L22 12 L28 28 L32 20 L38 20" fill="none" stroke="#38bdf8" stroke-width="2"/> <text x="50" y="15" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">LISTENING</text> <text x="50" y="32" font-family="sans-serif" font-size="11" fill="#38bdf8">Active Decoder</text> <text x="0" y="65" font-family="sans-serif" font-size="12" fill="#cbd5e1"> <tspan x="0" dy="0">• Intentional focus</tspan> <tspan x="0" dy="18">• Semantic integration</tspan> <tspan x="0" dy="18">• Noise filtering (SNR)</tspan> </text> </g> <!-- Section 2: The Three A's --> <rect x="460" y="140" width="400" height="380" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="480" y="170" font-family="sans-serif" font-size="18" font-weight="bold" fill="#f59e0b">II. THE TRIAD OF ENGAGEMENT</text> <!-- A1: Attention --> <g transform="translate(480, 200)"> <rect width="360" height="80" rx="12" fill="#ffffff05"/> <circle cx="30" cy="40" r="20" fill="#f59e0b20" stroke="#f59e0b"/> <path d="M30 30 L30 50 M20 40 L40 40" stroke="#f59e0b" stroke-width="2"/> <text x="70" y="35" font-family="sans-serif" font-size="15" font-weight="bold" fill="#f8fafc">ATTENTION</text> <text x="70" y="55" font-family="sans-serif" font-size="12" fill="#94a3b8">Overcoming the speech-thought differential.</text> <text x="70" y="70" font-family="sans-serif" font-size="11" fill="#f59e0b" font-style="italic">Focus: Selective narrowing of resources.</text> </g> <!-- A2: Attitude --> <g transform="translate(480, 295)"> <rect width="360" height="80" rx="12" fill="#ffffff05"/> <circle cx="30" cy="40" r="20" fill="#e879f920" stroke="#e879f9"/> <path d="M22 40 Q30 50 38 40" fill="none" stroke="#e879f9" stroke-width="2"/> <text x="70" y="35" font-family="sans-serif" font-size="15" font-weight="bold" fill="#f8fafc">ATTITUDE</text> <text x="70" y="55" font-family="sans-serif" font-size="12" fill="#94a3b8">Neutral-to-positive valence toward the speaker.</text> <text x="70" y="70" font-family="sans-serif" font-size="11" fill="#e879f9" font-style="italic">Avoidance of "deaf spots" and bias.</text> </g> <!-- A3: Adjustment --> <g transform="translate(480, 390)"> <rect width="360" height="80" rx="12" fill="#ffffff05"/> <circle cx="30" cy="40" r="20" fill="#38bdf820" stroke="#38bdf8"/> <path d="M25 35 L35 45 M35 35 L25 45" stroke="#38bdf8" stroke-width="2"/> <text x="70" y="35" font-family="sans-serif" font-size="15" font-weight="bold" fill="#f8fafc">ADJUSTMENT</text> <text x="70" y="55" font-family="sans-serif" font-size="12" fill="#94a3b8">Cognitive flexibility as arguments evolve.</text> <text x="70" y="70" font-family="sans-serif" font-size="11" fill="#38bdf8" font-style="italic">Dynamic mapping of the message path.</text> </g> <!-- Section 3: Feedback Loop --> <rect x="40" y="340" width="400" height="180" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="370" font-family="sans-serif" font-size="18" font-weight="bold" fill="#e879f9">III. THE CLOSED-LOOP SYSTEM</text> <g transform="translate(100, 420)"> <!-- Speaker Node --> <circle cx="0" cy="30" r="25" fill="#1e293b" stroke="#38bdf8" stroke-width="2"/> <text x="-15" y="35" font-family="sans-serif" font-size="10" fill="#f8fafc">TX</text> <!-- Listener Node --> <circle cx="200" cy="30" r="25" fill="#1e293b" stroke="#e879f9" stroke-width="2"/> <text x="185" y="35" font-family="sans-serif" font-size="10" fill="#f8fafc">RX</text> <!-- Signal Path --> <path d="M30 20 Q100 0 170 20" fill="none" stroke="#94a3b8" stroke-width="2" stroke-dasharray="4 2"/> <text x="80" y="15" font-family="sans-serif" font-size="10" fill="#94a3b8">MESSAGE</text> <!-- Feedback Path --> <path d="M170 45 Q100 65 30 45" fill="none" stroke="#f59e0b" stroke-width="2"/> <polygon points="30,45 40,40 40,50" fill="#f59e0b"/> <text x="80" y="75" font-family="sans-serif" font-size="10" fill="#f59e0b">FEEDBACK</text> </g> <text x="60" y="500" font-family="monospace" font-size="11" fill="#64748b">system_status: ACTIVE_LISTENING_ENGAGED</text> <!-- Decorative elements --> <circle cx="850" cy="50" r="30" fill="none" stroke="#ffffff05" stroke-width="8"/> <circle cx="850" cy="50" r="15" fill="none" stroke="#ffffff05" stroke-width="4"/> </svg>Listening and Feedback image 1Listening and Feedback - Principles of Public Speaking - image 1https://www.getlykke.com/explore/public/principles-of-public-speaking-5a7685ad-4af1-4273-b778-2de11a0f267d/media/listening-and-feedback/svg/1Listening and Feedback diagram 1Listening and Feedback - Principles of Public Speaking - diagram 1https://www.getlykke.com/explore/public/principles-of-public-speaking-5a7685ad-4af1-4273-b778-2de11a0f267d/media/listening-and-feedback/svg/2Listening and Feedback diagram 2Listening and Feedback - Principles of Public Speaking - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="blur"/> <feComposite in="SourceGraphic" in2="blur" operator="over"/> </filter> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10" /> </pattern> </defs> <!-- Background Layer --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Decorative Grid Lines --> <g stroke="#ffffff08" stroke-width="1"> <line x1="0" y1="80" x2="900" y2="80"/> <line x1="450" y1="80" x2="450" y2="520"/> </g> <!-- Header Section --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">SPEECH PREPARATION &amp; TOPIC SELECTION</text> <path d="M 350 65 L 550 65" stroke="url(#accentGrad)" stroke-width="3" stroke-linecap="round"/> <!-- LEFT COLUMN: THE FUNNEL OF PRECISION --> <g transform="translate(40, 100)"> <rect width="380" height="430" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="20" y="35" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">THE FUNNEL OF PRECISION</text> <text x="20" y="55" font-family="sans-serif" font-size="12" fill="#94a3b8">The recursive narrowing of focus</text> <!-- Funnel Graphic --> <path d="M 60 80 L 320 80 L 240 380 L 140 380 Z" fill="#ffffff05" stroke="#ffffff20" stroke-dasharray="4 2"/> <!-- Funnel Steps --> <g transform="translate(0, 90)"> <rect x="70" y="0" width="240" height="45" rx="8" fill="#ffffff10"/> <text x="190" y="28" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">1. BROAD TOPIC</text> <text x="190" y="65" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">e.g., "Artificial Intelligence"</text> <rect x="100" y="80" width="180" height="45" rx="8" fill="#ffffff15"/> <text x="190" y="108" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">2. GENERAL PURPOSE</text> <text x="190" y="145" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">To Inform, Persuade, or Commemorate</text> <rect x="125" y="160" width="130" height="45" rx="8" fill="#ffffff20" stroke="#f59e0b" stroke-width="1"/> <text x="190" y="188" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">3. 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CENTRAL IDEA</text> <text x="190" y="305" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">The "Thesis" or core message</text> </g> </g> <!-- RIGHT COLUMN: TAXONOMY OF PURPOSES --> <g transform="translate(460, 100)"> <text x="0" y="25" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">TAXONOMY OF PURPOSES</text> <!-- Informative Card --> <g transform="translate(0, 50)"> <rect width="400" height="100" rx="12" fill="#38bdf815" stroke="#38bdf840"/> <circle cx="40" cy="50" r="20" fill="#38bdf820"/> <path d="M 35 45 L 45 45 L 45 55 L 35 55 Z" fill="#38bdf8"/> <!-- Book Icon --> <text x="75" y="40" font-family="sans-serif" font-weight="700" font-size="16" fill="#38bdf8">Informative Speaking</text> <text x="75" y="62" font-family="sans-serif" font-size="12" fill="#f8fafc">Role: Educator / Reporter</text> <text x="75" y="80" font-family="sans-serif" font-size="11" fill="#94a3b8">Goal: Knowledge transfer and audience comprehension.</text> </g> <!-- Persuasive Card --> <g transform="translate(0, 165)"> <rect width="400" height="100" rx="12" fill="#f59e0b15" stroke="#f59e0b40"/> <circle cx="40" cy="50" r="20" fill="#f59e0b20"/> <path d="M 32 55 L 40 40 L 48 55 Z" fill="#f59e0b"/> <!-- Advocate Icon --> <text x="75" y="40" font-family="sans-serif" font-weight="700" font-size="16" fill="#f59e0b">Persuasive Speaking</text> <text x="75" y="62" font-family="sans-serif" font-size="12" fill="#f8fafc">Role: Advocate / Catalyst</text> <text x="75" y="80" font-family="sans-serif" font-size="11" fill="#94a3b8">Goal: Behavioral change using Ethos, Logos, and Pathos.</text> </g> <!-- Commemorative Card --> <g transform="translate(0, 280)"> <rect width="400" height="100" rx="12" fill="#e879f915" stroke="#e879f940"/> <circle cx="40" cy="50" r="20" fill="#e879f920"/> <path d="M 40 38 L 43 45 L 50 45 L 45 50 L 47 57 L 40 53 L 33 57 L 35 50 L 30 45 L 37 45 Z" fill="#e879f9"/> <!-- Star Icon --> <text x="75" y="40" font-family="sans-serif" font-weight="700" font-size="16" fill="#e879f9">Commemorative Speaking</text> <text x="75" y="62" font-family="sans-serif" font-size="12" fill="#f8fafc">Role: Master of Ceremonies</text> <text x="75" y="80" font-family="sans-serif" font-size="11" fill="#94a3b8">Goal: Social cohesion and shared emotional resonance.</text> </g> <!-- The Goldilocks Principle --> <g transform="translate(0, 395)"> <rect width="400" height="35" rx="8" fill="#ffffff10"/> <text x="200" y="22" text-anchor="middle" font-family="sans-serif" font-style="italic" font-size="12" fill="#94a3b8"> "The Goldilocks Principle: Not too broad, not too narrow, just right." </text> </g> </g> <!-- Bottom Legend/Footer --> <g transform="translate(40, 540)"> <text font-family="sans-serif" font-size="10" fill="#475569">SPEECH PREP WORKFLOW v1.0 • ENCODING PHASE • AUDIENCE-CENTRIC DESIGN</text> </g> </svg>Speech Preparation and Topic Selection image 1Speech Preparation and Topic Selection - Principles of Public Speaking - image 1https://www.getlykke.com/explore/public/principles-of-public-speaking-5a7685ad-4af1-4273-b778-2de11a0f267d/media/speech-preparation-and-topic-selection/svg/1Speech Preparation and Topic Selection diagram 1Speech Preparation and Topic Selection - Principles of Public Speaking - diagram 1https://www.getlykke.com/explore/public/principles-of-public-speaking-5a7685ad-4af1-4273-b778-2de11a0f267d/media/speech-preparation-and-topic-selection/svg/2Speech Preparation and Topic Selection diagram 2Speech Preparation and Topic Selection - Principles of Public Speaking - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff05" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="450" y="60" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" filter="url(#glow)">FOUNDATIONS OF INFORMATIVE SPEAKING</text> <text x="450" y="85" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#38bdf8" letter-spacing="4" font-weight="600">KNOWLEDGE TRANSFER PROTOCOL</text> <line x1="300" y1="100" x2="600" y2="100" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 4" opacity="0.5"/> <!-- Left Panel: Information vs Knowledge --> <rect x="40" y="130" width="260" height="240" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="165" font-family="sans-serif" font-weight="bold" font-size="18" fill="#f59e0b">ONTOLOGICAL SHIFT</text> <g transform="translate(60, 190)"> <circle cx="10" cy="10" r="6" fill="#f59e0b"/> <text x="25" y="15" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">Information</text> <text x="25" y="32" font-family="sans-serif" font-size="11" fill="#94a3b8">Discrete data points &amp; facts.</text> <text x="25" y="46" font-family="sans-serif" font-size="11" fill="#94a3b8">High Entropy (Unorganized).</text> <path d="M 10 65 L 10 85" stroke="#94a3b8" stroke-width="1" stroke-dasharray="2 2"/> <rect x="0" y="100" width="20" height="20" rx="4" fill="#e879f9"/> <text x="25" y="115" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">Knowledge</text> <text x="25" y="132" font-family="sans-serif" font-size="11" fill="#94a3b8">Internalized mental models.</text> <text x="25" y="146" font-family="sans-serif" font-size="11" fill="#94a3b8">Low Entropy (Structured).</text> </g> <!-- Center Panel: The Process --> <rect x="320" y="130" width="260" height="240" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="340" y="165" font-family="sans-serif" font-weight="bold" font-size="18" fill="#38bdf8">TRANSFORMATION</text> <g transform="translate(340, 190)"> <rect x="0" y="0" width="220" height="40" rx="8" fill="#38bdf815" stroke="#38bdf830"/> <text x="40" y="25" font-family="sans-serif" font-size="13" fill="#f8fafc" font-weight="bold">1. SELECTION</text> <circle cx="20" cy="20" r="8" fill="#38bdf8"/> <text x="20" y="24" text-anchor="middle" font-size="10" fill="#0f172a" font-weight="bold">S</text> <rect x="0" y="55" width="220" height="40" rx="8" fill="#38bdf815" stroke="#38bdf830"/> <text x="40" y="80" font-family="sans-serif" font-size="13" fill="#f8fafc" font-weight="bold">2. ORGANIZATION</text> <circle cx="20" cy="75" r="8" fill="#38bdf8"/> <text x="20" y="79" text-anchor="middle" font-size="10" fill="#0f172a" font-weight="bold">O</text> <rect x="0" y="110" width="220" height="40" rx="8" fill="#38bdf815" stroke="#38bdf830"/> <text x="40" y="135" font-family="sans-serif" font-size="13" fill="#f8fafc" font-weight="bold">3. INTEGRATION</text> <circle cx="20" cy="130" r="8" fill="#38bdf8"/> <text x="20" y="134" text-anchor="middle" font-size="10" fill="#0f172a" font-weight="bold">I</text> </g> <!-- Right Panel: Shannon Entropy --> <rect x="600" y="130" width="260" height="240" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="620" y="165" font-family="sans-serif" font-weight="bold" font-size="18" fill="#e879f9">SHANNON ENTROPY</text> <text x="620" y="195" font-family="serif" font-style="italic" font-size="16" fill="#f8fafc">H = -Σ p(x) log₂ p(x)</text> <!-- Entropy Visual --> <g transform="translate(625, 220)"> <!-- High Entropy --> <text x="0" y="10" font-size="10" fill="#94a3b8">UNCERTAINTY (H)</text> <rect x="0" y="20" width="80" height="60" fill="#ffffff05" stroke="#ffffff10"/> <circle cx="10" cy="30" r="2" fill="#f59e0b"/> <circle cx="30" cy="50" r="2" fill="#f59e0b"/> <circle cx="60" cy="35" r="2" fill="#f59e0b"/> <circle cx="45" cy="70" r="2" fill="#f59e0b"/> <circle cx="15" cy="65" r="2" fill="#f59e0b"/> <path d="M 95 50 L 115 50" stroke="#38bdf8" stroke-width="2" marker-end="url(#arrow)"/> <!-- Low Entropy --> <rect x="130" y="20" width="80" height="60" fill="#38bdf810" stroke="#38bdf830"/> <circle cx="170" cy="50" r="4" fill="#38bdf8"/> <circle cx="170" cy="50" r="8" fill="#38bdf8" fill-opacity="0.2"/> <text x="130" y="95" font-size="10" fill="#38bdf8">KNOWLEDGE GAIN</text> </g> <!-- Bottom: Functions --> <rect x="40" y="390" width="820" height="140" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="420" font-family="sans-serif" font-weight="bold" font-size="18" fill="#f8fafc">PRIMARY FUNCTIONS</text> <g transform="translate(60, 445)"> <text x="0" y="0" font-family="sans-serif" font-weight="bold" font-size="14" fill="#38bdf8">1. PROVIDING KNOWLEDGE</text> <text x="0" y="20" font-family="sans-serif" font-size="12" fill="#94a3b8">Translating complexity into</text> <text x="0" y="35" font-family="sans-serif" font-size="12" fill="#94a3b8">accessible mental models.</text> </g> <g transform="translate(310, 445)"> <text x="0" y="0" font-family="sans-serif" font-weight="bold" font-size="14" fill="#38bdf8">2. SHAPING PERCEPTION</text> <text x="0" y="20" font-family="sans-serif" font-size="12" fill="#94a3b8">Framing facts to influence</text> <text x="0" y="35" font-family="sans-serif" font-size="12" fill="#94a3b8">how reality is conceptualized.</text> </g> <g transform="translate(560, 445)"> <text x="0" y="0" font-family="sans-serif" font-weight="bold" font-size="14" fill="#38bdf8">3. ARTICULATING ALTERNATIVES</text> <text x="0" y="20" font-family="sans-serif" font-size="12" fill="#94a3b8">Mapping the menu of options</text> <text x="0" y="35" font-family="sans-serif" font-size="12" fill="#94a3b8">prior to decision-making.</text> </g> <!-- Decorative Accents --> <circle cx="850" cy="50" r="30" fill="#e879f9" fill-opacity="0.05"/> <circle cx="850" cy="50" r="15" fill="#e879f9" fill-opacity="0.1"/> <path d="M 820 520 L 860 520 L 840 490 Z" fill="#f59e0b" fill-opacity="0.2"/> </svg>Foundations of Informative Speaking image 1Foundations of Informative Speaking - Principles of Public Speaking - image 1https://www.getlykke.com/explore/public/principles-of-public-speaking-5a7685ad-4af1-4273-b778-2de11a0f267d/media/foundations-of-informative-speaking/svg/1Foundations of Informative Speaking diagram 1Foundations of Informative Speaking - Principles of Public Speaking - diagram 1https://www.getlykke.com/explore/public/principles-of-public-speaking-5a7685ad-4af1-4273-b778-2de11a0f267d/media/foundations-of-informative-speaking/svg/2Foundations of Informative Speaking diagram 2Foundations of Informative Speaking - Principles of Public Speaking - diagram 2https://www.getlykke.com/explore/public/principles-of-public-speaking-5a7685ad-4af1-4273-b778-2de11a0f267d/media/foundations-of-informative-speaking/svg/3Foundations of Informative Speaking diagram 3Foundations of Informative Speaking - Principles of Public Speaking - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accent-blue" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#0ea5e9"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="3" result="blur"/> <feComposite in="SourceGraphic" in2="blur" operator="over"/> </filter> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Decorative Background Elements --> <circle cx="850" cy="50" r="100" fill="#e879f9" opacity="0.05"/> <circle cx="50" cy="510" r="120" fill="#38bdf8" opacity="0.05"/> <path d="M 0 450 Q 450 500 900 450" fill="none" stroke="#ffffff05" stroke-width="2"/> <!-- Header Section --> <text x="450" y="60" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">TYPES OF INFORMATIVE SPEECHES</text> <text x="450" y="85" text-anchor="middle" font-family="sans-serif" font-weight="400" font-size="16" fill="#94a3b8" letter-spacing="2">THE ART OF DOCERE: ENGINEERING MENTAL MODELS</text> <rect x="400" y="95" width="100" height="3" rx="1.5" fill="#f59e0b"/> <!-- Card 1: Definitional --> <g transform="translate(50, 130)"> <rect width="385" height="180" rx="16" fill="#ffffff10" stroke="#38bdf844" stroke-width="1"/> <rect x="20" y="20" width="40" height="40" rx="8" fill="#38bdf822"/> <path d="M 30 35 L 50 35 M 30 40 L 50 40 M 30 45 L 40 45" stroke="#38bdf8" stroke-width="2" stroke-linecap="round"/> <text x="75" y="38" font-family="sans-serif" font-weight="700" font-size="20" fill="#f8fafc">DEFINITIONAL</text> <text x="75" y="56" font-family="sans-serif" font-weight="600" font-size="12" fill="#38bdf8" letter-spacing="1">THE LOGIC OF MEANING</text> <text x="25" y="90" font-family="sans-serif" font-size="13" fill="#cbd5e1"> <tspan x="25" dy="1.2em">Clarifies complex concepts or theories using</tspan> <tspan x="25" dy="1.2em">precision and logic. 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THE MECHANICS OF ATTENTION</text> <!-- Trigger 1: Intensity --> <g transform="translate(60, 175)"> <circle cx="20" cy="20" r="20" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1"/> <path d="M10 25 L15 15 L20 25 L25 10 L30 25" fill="none" stroke="#f59e0b" stroke-width="2" stroke-linecap="round"/> <text x="50" y="15" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">INTENSITY</text> <text x="50" y="32" font-family="sans-serif" font-size="12" fill="#94a3b8">Magnitude &amp; Arousal. Triggers the Orienting Response.</text> </g> <!-- Trigger 2: Novelty --> <g transform="translate(60, 245)"> <circle cx="20" cy="20" r="20" fill="#e879f920" stroke="#e879f9" stroke-width="1"/> <path d="M20 10 L22 18 L30 20 L22 22 L20 30 L18 22 L10 20 L18 18 Z" fill="#e879f9" /> <text x="50" y="15" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">NOVELTY</text> <text x="50" y="32" font-family="sans-serif" font-size="12" fill="#94a3b8">Entropy vs. Habituation. Prioritizes new information.</text> </g> <!-- Trigger 3: Contrast --> <g transform="translate(60, 315)"> <circle cx="20" cy="20" r="20" fill="#38bdf820" stroke="#38bdf8" stroke-width="1"/> <path d="M20 10 A10 10 0 0 1 20 30 Z" fill="#38bdf8" /> <circle cx="20" cy="20" r="10" fill="none" stroke="#38bdf8" stroke-width="2"/> <text x="50" y="15" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">CONTRAST</text> <text x="50" y="32" font-family="sans-serif" font-size="12" fill="#94a3b8">Differential Analysis. Signal vs. Noise detection.</text> </g> <!-- Right Column: Narrative Frameworks --> <rect x="460" y="120" width="400" height="300" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="480" y="150" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">II. NARRATIVE FRAMEWORKS</text> <!-- Narrative 1: Natural --> <g transform="translate(480, 175)"> <rect x="0" y="5" width="40" height="30" rx="4" fill="#94a3b820" stroke="#94a3b8" stroke-width="1"/> <path d="M10 20 H30 M25 15 L30 20 L25 25" fill="none" stroke="#94a3b8" stroke-width="2"/> <text x="50" y="15" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">NATURAL NARRATIVES</text> <text x="50" y="32" font-family="sans-serif" font-size="12" fill="#94a3b8">Causal logic &amp; physical sequences. (A → B → C)</text> </g> <!-- Narrative 2: Social --> <g transform="translate(480, 245)"> <rect x="0" y="5" width="40" height="30" rx="4" fill="#f43f5e20" stroke="#f43f5e" stroke-width="1"/> <circle cx="15" cy="20" r="6" fill="#f43f5e"/> <circle cx="25" cy="20" r="6" fill="#f43f5e" fill-opacity="0.6"/> <text x="50" y="15" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">SOCIAL NARRATIVES</text> <text x="50" y="32" font-family="sans-serif" font-size="12" fill="#94a3b8">Human agency &amp; empathy. Activates Mirror Neurons.</text> </g> <!-- Narrative 3: Ultimate --> <g transform="translate(480, 315)"> <rect x="0" y="5" width="40" height="30" rx="4" fill="#fbbf2420" stroke="#fbbf24" stroke-width="1"/> <path d="M20 12 L28 28 L12 28 Z" fill="none" stroke="#fbbf24" stroke-width="2"/> <circle cx="20" cy="20" r="3" fill="#fbbf24"/> <text x="50" y="15" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">ULTIMATE NARRATIVES</text> <text x="50" y="32" font-family="sans-serif" font-size="12" fill="#94a3b8">The "Big Why." Teleology, purpose, and destiny.</text> </g> <!-- Bottom Section: Neural Coupling --> <rect x="40" y="440" width="820" height="90" rx="16" fill="url(#accentGrad)" fill-opacity="0.1" stroke="#ffffff20"/> <g transform="translate(70, 465)"> <path d="M0 20 Q 40 0, 80 20 T 160 20" fill="none" stroke="#38bdf8" stroke-width="3" filter="glow"> <animate attributeName="stroke-dasharray" from="0, 200" to="200, 0" dur="3s" repeatCount="indefinite" /> </path> <text x="180" y="15" font-family="sans-serif" font-weight="800" font-size="20" fill="#f8fafc">NEURAL COUPLING</text> <text x="180" y="38" font-family="sans-serif" font-size="13" fill="#cbd5e1">The synchronization of brain activity between speaker and listener through shared mental models.</text> </g> <!-- Decorative Brain Icons --> <g opacity="0.5"> <path d="M800 460 c-5-10-20-10-25 0 c-10-5-20 5-15 15 c-10 10 0 25 10 20 c5 10 25 10 30 0 c10 5 20-5 15-15 c10-10 0-25-15-20" fill="none" stroke="#e879f9" stroke-width="1.5"/> <path d="M740 460 c-5-10-20-10-25 0 c-10-5-20 5-15 15 c-10 10 0 25 10 20 c5 10 25 10 30 0 c10 5 20-5 15-15 c10-10 0-25-15-20" fill="none" stroke="#38bdf8" stroke-width="1.5"/> <path d="M745 475 L775 475" stroke="#ffffff40" stroke-dasharray="2 2"/> </g> <!-- Formula Overlay --> <rect x="680" y="370" width="160" height="40" rx="8" fill="#00000040" stroke="#ffffff10"/> <text x="760" y="395" text-anchor="middle" font-family="serif" font-size="14" fill="#f8fafc" font-style="italic">R = f(N ∩ S ∩ U)</text> </svg>Strategies for Audience Engagement image 1Strategies for Audience Engagement - Principles of Public Speaking - image 1https://www.getlykke.com/explore/public/principles-of-public-speaking-5a7685ad-4af1-4273-b778-2de11a0f267d/media/strategies-for-audience-engagement/svg/1Strategies for Audience Engagement diagram 1Strategies for Audience Engagement - Principles of Public Speaking - diagram 1https://www.getlykke.com/explore/public/principles-of-public-speaking-5a7685ad-4af1-4273-b778-2de11a0f267d/media/strategies-for-audience-engagement/svg/2Strategies for Audience Engagement diagram 2Strategies for Audience Engagement - Principles of Public Speaking - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background Layer --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text 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x="340" y="345" font-family="sans-serif" font-weight="700" font-size="12" fill="#e879f9" text-anchor="middle">PATHOS</text> <text x="340" y="390" font-family="sans-serif" font-size="11" fill="#f8fafc" text-anchor="middle">Emotional Resonance</text> <text x="340" y="405" font-family="sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">Affect &amp; Motivation</text> <!-- Right Panel: Bayesian Inference Model --> <rect x="460" y="110" width="400" height="300" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="480" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">The Bayesian Update</text> <text x="480" y="160" font-family="sans-serif" font-size="12" fill="#94a3b8">Quantifying the shift in audience belief</text> <!-- Bayesian Flow Diagram --> <rect x="485" y="200" width="100" height="60" rx="8" fill="#ffffff10" stroke="#ffffff20"/> <text x="535" y="225" font-family="sans-serif" font-size="14" fill="#f8fafc" text-anchor="middle">P(H)</text> <text x="535" y="245" font-family="sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">Prior Belief</text> <path d="M 585 230 L 730 230" stroke="#38bdf8" stroke-width="2" marker-end="url(#arrowhead)"/> <text x="657" y="215" font-family="sans-serif" font-size="11" fill="#38bdf8" text-anchor="middle">Evidence (E)</text> <text x="657" y="250" font-family="sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">Weighted by Ethos</text> <rect x="740" y="200" width="100" height="60" rx="8" fill="#38bdf820" stroke="#38bdf8"/> <text x="790" y="225" font-family="sans-serif" font-size="14" fill="#f8fafc" text-anchor="middle">P(H|E)</text> <text x="790" y="245" font-family="sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">Posterior Belief</text> <!-- Code Snippet Visual --> <rect x="485" y="280" width="355" height="110" rx="8" fill="#00000040"/> <text x="500" y="305" font-family="monospace" font-size="11" fill="#38bdf8">def</text> <text x="530" y="305" font-family="monospace" font-size="11" fill="#f8fafc">calculate_belief_shift(prior, logos, ethos):</text> <text x="520" y="325" font-family="monospace" font-size="11" fill="#94a3b8"># effective_evidence = logos * ethos</text> <text x="520" y="345" font-family="monospace" font-size="11" fill="#f59e0b">posterior = prior + (eff_evid * (1 - prior))</text> <text x="520" y="365" font-family="monospace" font-size="11" fill="#38bdf8">return</text> <text x="570" y="365" font-family="monospace" font-size="11" fill="#f8fafc">np.clip(posterior, 0, 1)</text> <!-- Bottom Comparison Table --> <rect x="40" y="430" width="820" height="110" rx="16" fill="#ffffff05" stroke="#ffffff10"/> <!-- Table Headers --> <text x="60" y="455" font-family="sans-serif" font-weight="700" font-size="12" fill="#94a3b8">MODE</text> <text x="200" y="455" font-family="sans-serif" font-weight="700" font-size="12" fill="#94a3b8">DOMAIN</text> <text x="400" y="455" font-family="sans-serif" font-weight="700" font-size="12" fill="#94a3b8">MECHANISM</text> <text x="650" y="455" font-family="sans-serif" font-weight="700" font-size="12" fill="#94a3b8">OBJECTIVE</text> <line x1="60" y1="465" x2="840" y2="465" stroke="#ffffff10" stroke-width="1"/> <!-- Row 1: Logos --> <text x="60" y="485" font-family="sans-serif" font-weight="700" font-size="13" fill="#38bdf8">LOGOS</text> <text x="200" y="485" font-family="sans-serif" font-size="13" fill="#f8fafc">Cognition</text> <text x="400" y="485" font-family="sans-serif" font-size="13" fill="#f8fafc">Data, Syllogisms, Induction</text> <text x="650" y="485" font-family="sans-serif" font-size="13" fill="#f8fafc">Intellectual Consent</text> <!-- Row 2: Ethos --> <text x="60" y="505" font-family="sans-serif" font-weight="700" font-size="13" fill="#f59e0b">ETHOS</text> <text x="200" y="505" font-family="sans-serif" font-size="13" fill="#f8fafc">Perception</text> <text x="400" y="505" font-family="sans-serif" font-size="13" fill="#f8fafc">Authority, Goodwill, Character</text> <text x="650" y="505" font-family="sans-serif" font-size="13" fill="#f8fafc">Trust &amp; Reliability</text> <!-- Row 3: Pathos --> <text x="60" y="525" font-family="sans-serif" font-weight="700" font-size="13" fill="#e879f9">PATHOS</text> <text x="200" y="525" font-family="sans-serif" font-size="13" fill="#f8fafc">Affect</text> <text x="400" y="525" font-family="sans-serif" font-size="13" fill="#f8fafc">Narratives, Values, Metaphor</text> <text x="650" y="525" font-family="sans-serif" font-size="13" fill="#f8fafc">Motivation &amp; Actuation</text> <!-- Arrowhead Marker --> <defs> <marker id="arrowhead" markerWidth="10" markerHeight="7" refX="0" refY="3.5" orient="auto"> <polygon points="0 0, 10 3.5, 0 7" fill="#38bdf8" /> </marker> </defs> <!-- Decorative Accent --> <circle cx="860" cy="40" r="80" fill="#38bdf8" fill-opacity="0.05"/> <circle cx="860" cy="40" r="40" fill="#38bdf8" fill-opacity="0.05"/> </svg>Persuasive Speaking and Rhetorical Analysis image 1Persuasive Speaking and Rhetorical Analysis - Principles of Public Speaking - image 1https://www.getlykke.com/explore/public/principles-of-public-speaking-5a7685ad-4af1-4273-b778-2de11a0f267d/media/persuasive-speaking-and-rhetorical-analysis/svg/1Persuasive Speaking and Rhetorical Analysis diagram 1Persuasive Speaking and Rhetorical Analysis - Principles of Public Speaking - diagram 1https://www.getlykke.com/explore/public/principles-of-public-speaking-5a7685ad-4af1-4273-b778-2de11a0f267d/media/persuasive-speaking-and-rhetorical-analysis/svg/2Persuasive Speaking and Rhetorical Analysis diagram 2Persuasive Speaking and Rhetorical Analysis - Principles of Public Speaking - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <filter id="glow" x="-20%" y="-20%" width="140%" height="140%"> <feGaussianBlur stdDeviation="3" result="blur" /> <feComposite in="SourceGraphic" in2="blur" operator="over" /> </filter> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> </defs> <!-- Background Layer --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="450" y="55" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="32" font-weight="800" letter-spacing="1">THE ARCHITECTURE OF SPEECH</text> <text x="450" y="82" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="14" font-weight="400" letter-spacing="2">ORGANIZATION • OUTLINING • DELIVERY</text> <rect x="350" y="95" width="200" height="3" fill="#38bdf8" rx="1.5"/> <!-- Left Column: The 4 Pillars --> <rect x="30" y="120" width="260" height="410" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="50" y="150" fill="#38bdf8" font-family="sans-serif" font-size="18" font-weight="bold">THE FOUR PILLARS</text> <!-- Pillar 1 --> <circle cx="60" cy="185" r="12" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <path d="M 55 185 L 65 185 M 60 180 L 60 190" stroke="#38bdf8" stroke-width="2"/> <text x="80" y="182" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="bold">Subordination</text> <text x="80" y="198" fill="#94a3b8" font-family="sans-serif" font-size="11">Lower points must support higher ones.</text> <!-- Pillar 2 --> <circle cx="60" cy="245" r="12" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <path d="M 54 242 L 66 242 M 54 248 L 66 248" stroke="#38bdf8" stroke-width="2"/> <text x="80" y="242" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="bold">Coordination</text> <text x="80" y="258" fill="#94a3b8" font-family="sans-serif" font-size="11">Points at same level share weight.</text> <!-- Pillar 3 --> <circle cx="60" cy="305" r="12" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <path d="M 60 298 L 60 305 L 54 312 M 60 305 L 66 312" fill="none" stroke="#38bdf8" stroke-width="2"/> <text x="80" y="302" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="bold">Division (Rule of 2)</text> <text x="80" y="318" fill="#94a3b8" font-family="sans-serif" font-size="11">If you have an 'A', you must have a 'B'.</text> <!-- Pillar 4 --> <circle cx="60" cy="365" r="12" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <path d="M 54 360 L 66 360 M 54 365 L 66 365 M 54 370 L 66 370" stroke="#38bdf8" stroke-width="2"/> <text x="80" y="362" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="bold">Parallelism</text> <text x="80" y="378" fill="#94a3b8" font-family="sans-serif" font-size="11">Consistent grammatical structure.</text> <!-- Center Column: Outline Evolution --> <rect x="310" y="120" width="280" height="410" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="330" y="150" fill="#e879f9" font-family="sans-serif" font-size="18" font-weight="bold">OUTLINE EVOLUTION</text> <!-- Prep Outline Box --> <rect x="330" y="170" width="240" height="100" rx="8" fill="#ffffff05" stroke="#e879f930"/> <text x="340" y="190" fill="#e879f9" font-family="sans-serif" font-size="13" font-weight="bold">1. Preparation Outline</text> <text x="340" y="210" fill="#f8fafc" font-family="sans-serif" font-size="11">• Full declarative sentences</text> <text x="340" y="225" fill="#f8fafc" font-family="sans-serif" font-size="11">• Detailed citations &amp; transitions</text> <text x="340" y="240" fill="#f8fafc" font-family="sans-serif" font-size="11">• Used for logic &amp; timing tests</text> <text x="340" y="260" fill="#94a3b8" font-family="sans-serif" font-size="10" font-style="italic">"The blueprint of your thoughts."</text> <!-- Arrow --> <path d="M 450 280 L 450 310" stroke="#e879f9" stroke-width="2" stroke-dasharray="4 4" marker-end="url(#arrowhead)"/> <circle cx="450" cy="295" r="15" fill="#1e1b4b" stroke="#e879f9"/> <text x="450" y="300" text-anchor="middle" fill="#e879f9" font-family="sans-serif" font-size="10" font-weight="bold">TRANSFORM</text> <!-- Speaking Outline Box --> <rect x="330" y="320" width="240" height="100" rx="8" fill="#ffffff05" stroke="#e879f930"/> <text x="340" y="340" fill="#e879f9" font-family="sans-serif" font-size="13" font-weight="bold">2. Speaking Outline</text> <text x="340" y="360" fill="#f8fafc" font-family="sans-serif" font-size="11">• Keywords &amp; brief phrases</text> <text x="340" y="375" fill="#f8fafc" font-family="sans-serif" font-size="11">• Delivery cues (PAUSE, SLOW)</text> <text x="340" y="390" fill="#f8fafc" font-family="sans-serif" font-size="11">• Used at the podium</text> <text x="340" y="410" fill="#94a3b8" font-family="sans-serif" font-size="10" font-style="italic">"The map for your performance."</text> <!-- Right Column: Delivery Spectrum --> <rect x="610" y="120" width="260" height="410" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="630" y="150" fill="#f59e0b" font-family="sans-serif" font-size="18" font-weight="bold">DELIVERY SPECTRUM</text> <!-- Spectrum Line --> <line x1="640" y1="180" x2="640" y2="480" stroke="#ffffff20" stroke-width="4" stroke-linecap="round"/> <!-- Impromptu --> <circle cx="640" cy="200" r="6" fill="#94a3b8"/> <text x="660" y="200" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="bold">Impromptu</text> <text x="660" y="215" fill="#94a3b8" font-family="sans-serif" font-size="11">Little prep, high anxiety.</text> <!-- Manuscript --> <circle cx="640" cy="270" r="6" fill="#94a3b8"/> <text x="660" y="270" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="bold">Manuscript</text> <text x="660" y="285" fill="#94a3b8" font-family="sans-serif" font-size="11">Word-for-word reading.</text> <!-- Memorized --> <circle cx="640" cy="340" r="6" fill="#94a3b8"/> <text x="660" y="340" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="bold">Memorized</text> <text x="660" y="355" fill="#94a3b8" font-family="sans-serif" font-size="11">Risk of total blanking.</text> <!-- Extemporaneous (The Goldilocks) --> <rect x="630" y="390" width="220" height="100" rx="12" fill="#f59e0b15" stroke="#f59e0b" stroke-width="1"/> <circle cx="640" cy="415" r="8" fill="#f59e0b" filter="url(#glow)"/> <text x="660" y="418" fill="#f59e0b" font-family="sans-serif" font-size="14" font-weight="bold">EXTEMPORANEOUS</text> <text x="660" y="438" fill="#f8fafc" font-family="sans-serif" font-size="11" font-weight="bold">The Gold Standard</text> <text x="660" y="453" fill="#f8fafc" font-family="sans-serif" font-size="11">Prepared structure +</text> <text x="660" y="468" fill="#f8fafc" font-family="sans-serif" font-size="11">Spontaneous wording.</text> <!-- Bottom Mental Map Visual --> <path d="M 50 545 Q 225 510 450 545 T 850 545" fill="none" stroke="#38bdf8" stroke-width="2" stroke-dasharray="5 5" opacity="0.5"/> <circle cx="50" cy="545" r="4" fill="#38bdf8"/> <circle cx="450" cy="545" r="4" fill="#e879f9"/> <circle cx="850" cy="545" r="4" fill="#f59e0b"/> <text x="450" y="525" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10" font-weight="bold" letter-spacing="1">THE AUDIENCE'S MENTAL MAP</text> <!-- Decorative Shapes --> <rect x="840" y="20" width="40" height="40" rx="8" 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2https://www.getlykke.com/explore/public/principles-of-public-speaking-5a7685ad-4af1-4273-b778-2de11a0f267d/media/organization-and-outlining/svg/3Organization, Outlining, and Delivery diagram 3Organization, Outlining, and Delivery - Principles of Public Speaking - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10"/> </pattern> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Header Section --> <text x="40" y="50" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">ASSIGNMENTS &amp; EVALUATION</text> <text x="40" y="75" font-family="sans-serif" font-size="14" fill="#94a3b8" letter-spacing="1">THE PROGRESSIVE COMPLEXITY PIPELINE: FROM THEORY TO MASTERY</text> <rect x="40" y="85" width="120" height="4" fill="url(#accentGrad)" rx="2"/> <!-- Main Pipeline (Horizontal Flow) --> <g transform="translate(40, 110)"> <!-- Connecting Line --> <line x1="50" y1="100" x2="550" y2="100" stroke="#ffffff15" stroke-width="2" stroke-dasharray="8 4"/> <!-- Step 1: Impromptu --> <rect x="0" y="20" width="135" height="160" rx="16" fill="#ffffff08" stroke="#38bdf840"/> <circle cx="67" cy="55" r="22" fill="#38bdf820"/> <circle cx="67" cy="55" r="12" fill="none" stroke="#38bdf8" stroke-width="2"/> <line x1="67" y1="55" x2="67" y2="48" stroke="#38bdf8" stroke-width="2"/> <line x1="67" y1="55" x2="74" y2="55" stroke="#38bdf8" stroke-width="2"/> <text x="67" y="95" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f8fafc" text-anchor="middle">IMPROMPTU</text> <text x="67" y="115" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">"Cold-Start" Agility</text> <text x="67" y="135" font-family="sans-serif" font-size="10" fill="#38bdf8" text-anchor="middle" font-weight="bold">PREP FRAMEWORK</text> <text x="67" y="155" font-family="sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">2-3 Minutes</text> <!-- Step 2: Demonstration --> <rect x="150" y="20" width="135" height="160" rx="16" fill="#ffffff08" stroke="#2dd4bf40"/> <circle cx="217" cy="55" r="22" fill="#2dd4bf20"/> <rect x="208" y="46" width="18" height="18" fill="none" stroke="#2dd4bf" stroke-width="2"/> <path d="M212 55 L222 55 M217 50 L217 60" stroke="#2dd4bf" stroke-width="2"/> <text x="217" y="95" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f8fafc" text-anchor="middle">DEMO</text> <text x="217" y="115" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">Spatial-Temporal</text> <text x="217" y="135" font-family="sans-serif" font-size="10" fill="#2dd4bf" text-anchor="middle" font-weight="bold">VISUAL AIDS</text> <text x="217" y="155" font-family="sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">5-7 Minutes</text> <!-- Step 3: Persuasive --> <rect x="300" y="20" width="135" height="160" rx="16" fill="#ffffff12" stroke="#f59e0b60"/> <circle cx="367" cy="55" r="22" fill="#f59e0b20"/> <path d="M358 62 L367 45 L376 62 Z" fill="none" stroke="#f59e0b" stroke-width="2"/> <text x="367" y="95" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f8fafc" text-anchor="middle">PERSUASIVE</text> <text x="367" y="115" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">Behavioral Change</text> <text x="367" y="135" font-family="sans-serif" font-size="10" fill="#f59e0b" text-anchor="middle" font-weight="bold">MONROE'S MMS</text> <text x="367" y="155" font-family="sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">7-10 Minutes</text> <!-- Step 4: Inspirational --> <rect x="450" y="20" width="135" height="160" rx="16" fill="#ffffff08" stroke="#e879f940"/> <circle cx="517" cy="55" r="22" fill="#e879f920"/> <path d="M517 42 L521 50 L530 50 L523 56 L526 65 L517 60 L508 65 L511 56 L504 50 L513 50 Z" fill="none" stroke="#e879f9" stroke-width="2"/> <text x="517" y="95" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f8fafc" text-anchor="middle">INSPIRATIONAL</text> <text x="517" y="115" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">Pathos &amp; Resonance</text> <text x="517" y="135" font-family="sans-serif" font-size="10" fill="#e879f9" text-anchor="middle" font-weight="bold">NARRATIVE</text> <text x="517" y="155" font-family="sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">5-8 Minutes</text> </g> <!-- Monroe's Motivated Sequence Sidebar --> <g transform="translate(620, 110)"> <rect width="240" height="410" rx="16" fill="#ffffff05" stroke="#ffffff10"/> <text x="20" y="35" font-family="sans-serif" font-weight="bold" font-size="16" fill="#f8fafc">MONROE'S ALGORITHM</text> <text x="20" y="55" font-family="sans-serif" font-size="11" fill="#94a3b8">The 5-Step Persuasion Engine</text> <g transform="translate(20, 80)"> <circle cx="12" cy="0" r="10" fill="#f59e0b"/> <text x="12" y="4" font-family="sans-serif" font-size="10" font-weight="bold" fill="#0f172a" text-anchor="middle">1</text> <text x="35" y="4" font-family="sans-serif" font-size="13" fill="#f8fafc" font-weight="bold">ATTENTION</text> <text x="35" y="20" font-family="sans-serif" font-size="11" fill="#94a3b8">Hook the audience focus</text> <circle cx="12" cy="60" r="10" fill="#f59e0b"/> <text x="12" y="64" font-family="sans-serif" font-size="10" font-weight="bold" fill="#0f172a" text-anchor="middle">2</text> <text x="35" y="64" font-family="sans-serif" font-size="13" fill="#f8fafc" font-weight="bold">NEED</text> <text x="35" y="80" font-family="sans-serif" font-size="11" fill="#94a3b8">Isolate the core problem</text> <circle cx="12" cy="120" r="10" fill="#f59e0b"/> <text x="12" y="124" font-family="sans-serif" font-size="10" font-weight="bold" fill="#0f172a" text-anchor="middle">3</text> <text x="35" y="124" font-family="sans-serif" font-size="13" fill="#f8fafc" font-weight="bold">SATISFACTION</text> <text x="35" y="140" font-family="sans-serif" font-size="11" fill="#94a3b8">Present the workable solution</text> <circle cx="12" cy="180" r="10" fill="#f59e0b"/> <text x="12" y="184" font-family="sans-serif" font-size="10" font-weight="bold" fill="#0f172a" text-anchor="middle">4</text> <text x="35" y="184" font-family="sans-serif" font-size="13" fill="#f8fafc" font-weight="bold">VISUALIZATION</text> <text x="35" y="200" font-family="sans-serif" font-size="11" fill="#94a3b8">Paint the future state</text> <circle cx="12" cy="240" r="10" fill="#f59e0b"/> 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1https://www.getlykke.com/explore/public/principles-of-public-speaking-5a7685ad-4af1-4273-b778-2de11a0f267d/media/assignments-and-evaluation/svg/1Assignments and Evaluation diagram 1Assignments and Evaluation - Principles of Public Speaking - diagram 1https://www.getlykke.com/explore/public/principles-of-public-speaking-5a7685ad-4af1-4273-b778-2de11a0f267d/media/assignments-and-evaluation/svg/2Assignments and Evaluation diagram 2Assignments and Evaluation - Principles of Public Speaking - diagram 2https://www.getlykke.com/explore/public/intro-to-python-fundamentals-7d69e48a-d004-41fe-9114-c2d622302ba82026-04-20T04:49:11.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" 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is computable?"</text> <g transform="translate(20, 145)"> <circle cx="5" cy="5" r="3" fill="#38bdf8"/> <text x="15" y="9" font-family="sans-serif" font-size="12" fill="#94a3b8">Algorithm Complexity (Big O)</text> <circle cx="5" cy="25" r="3" fill="#38bdf8"/> <text x="15" y="29" font-family="sans-serif" font-size="12" fill="#94a3b8">Data Structures &amp; Logic</text> <circle cx="5" cy="45" r="3" fill="#38bdf8"/> <text x="15" y="49" font-family="sans-serif" font-size="12" fill="#94a3b8">Information Theory</text> </g> <path d="M 40 230 Q 130 210 220 230" fill="none" stroke="#ffffff10" stroke-width="2" stroke-dasharray="4 4"/> <text x="130" y="270" text-anchor="middle" font-family="serif" font-size="36" fill="#ffffff05">f(x)</text> </g> <!-- Middle Column: Programming (The Bridge) --> <g transform="translate(320, 130)"> <rect width="260" height="320" rx="16" fill="#ffffff12" stroke="#ffffff20" stroke-width="1.5"/> <rect x="20" y="20" width="40" height="40" rx="8" fill="#f59e0b20"/> <path 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fill="#94a3b8">Source Code</text> <path d="M 85 10 L 125 10" stroke="#38bdf8" stroke-width="2" marker-end="url(#arrow)"/> <rect x="140" y="-5" width="160" height="30" rx="6" fill="#38bdf820" stroke="#38bdf8"/> <text x="220" y="15" text-anchor="middle" font-family="sans-serif" font-size="12" font-weight="bold" fill="#38bdf8">COMPILER / INTERPRETER</text> <path d="M 315 10 L 355 10" stroke="#e879f9" stroke-width="2"/> <text x="370" y="15" font-family="monospace" font-size="12" fill="#e879f9">Machine Code (010110...)</text> </g> </g> <!-- Connection Arrows --> <defs> <marker id="arrow" markerWidth="10" markerHeight="10" refX="9" refY="5" orientation="auto"> <path d="M0,0 L10,5 L0,10 Z" fill="#ffffff30" /> </marker> </defs> <path d="M 300 290 L 320 290" stroke="#ffffff20" stroke-width="2" marker-end="url(#arrow)"/> <path d="M 580 290 L 600 290" stroke="#ffffff20" stroke-width="2" marker-end="url(#arrow)"/> </svg>Introduction to Computer Science and Programming image 1Introduction to 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font-size="12" fill="#94a3b8"> <tspan fill="#f59e0b" font-weight="bold">TIP:</tspan> Minimizing "Environmental Friction" allows focus on algorithmic logic and computational thinking. </text> <text x="840" y="520" text-anchor="end" font-family="sans-serif" font-size="11" font-weight="bold" fill="#38bdf8">CLIENT CHALLENGE v2.0</text> </svg>Technical Requirements and the Development Environment image 1Technical Requirements and the Development Environment - Intro to Python Fundamentals - image 1https://www.getlykke.com/explore/public/intro-to-python-fundamentals-7d69e48a-d004-41fe-9114-c2d622302ba8/media/technical-requirements-and-ide/svg/1Technical Requirements and the Development Environment diagram 1Technical Requirements and the Development Environment - Intro to Python Fundamentals - diagram 1https://www.getlykke.com/explore/public/intro-to-python-fundamentals-7d69e48a-d004-41fe-9114-c2d622302ba8/media/technical-requirements-and-ide/svg/2Technical Requirements and the Development Environment diagram 2Technical Requirements and the Development Environment - Intro to Python Fundamentals - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background and Grid --> <rect width="900" height="560" fill="url(#bg)"/> <g stroke="#ffffff08" stroke-width="1"> <path d="M0 40h900M0 80h900M0 120h900M0 160h900M0 200h900M0 240h900M0 280h900M0 320h900M0 360h900M0 400h900M0 440h900M0 480h900M0 520h900"/> <path d="M40 0v560M80 0v560M120 0v560M160 0v560M200 0v560M240 0v560M280 0v560M320 0v560M360 0v560M400 0v560M440 0v560M480 0v560M520 0v560M560 0v560M600 0v560M640 0v560M680 0v560M720 0v560M760 0v560M800 0v560M840 0v560"/> </g> <!-- Header Section --> <text x="40" y="60" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">UNIT 1</text> <text x="155" y="60" font-family="sans-serif" font-weight="300" font-size="32" fill="#94a3b8">/</text> <text x="180" y="60" font-family="sans-serif" font-weight="700" font-size="28" fill="url(#accentGrad)">COMPUTATIONAL THINKING &amp; VARIABLES</text> <rect x="40" y="85" width="820" height="2" fill="url(#accentGrad)" opacity="0.5"/> <!-- Left Column: Sequence & State --> <rect x="40" y="110" width="400" height="220" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="140" font-family="sans-serif" font-weight="bold" font-size="18" fill="#38bdf8">01. THE CORE MECHANICS</text> <!-- Sequence Visual --> <g transform="translate(60, 160)"> <rect width="110" height="40" rx="8" fill="#38bdf820" stroke="#38bdf8" stroke-width="1"/> <text x="55" y="25" text-anchor="middle" font-family="sans-serif" font-size="12" font-weight="bold" fill="#38bdf8">SEQUENCE</text> <path d="M110 20 L130 20" stroke="#94a3b8" stroke-width="2" marker-end="url(#arrow)"/> <rect x="140" width="110" height="40" rx="8" fill="#e879f920" stroke="#e879f9" stroke-width="1"/> <text x="195" y="25" text-anchor="middle" font-family="sans-serif" font-size="12" font-weight="bold" fill="#e879f9">TRANSITION</text> <path d="M250 20 L270 20" stroke="#94a3b8" stroke-width="2"/> <rect x="280" width="100" height="40" rx="8" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1"/> <text x="330" y="25" text-anchor="middle" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f59e0b">STATE</text> </g> <text x="60" y="235" font-family="sans-serif" font-size="13" fill="#f8fafc" font-weight="bold">Sequence: <tspan font-weight="normal" fill="#94a3b8">The deterministic path of instructions.</tspan></text> <text x="60" y="255" font-family="sans-serif" font-size="13" fill="#f8fafc" font-weight="bold">State: <tspan font-weight="normal" fill="#94a3b8">The snapshot of memory at time </tspan><tspan font-style="italic" fill="#e879f9">t</tspan><tspan font-weight="normal" fill="#94a3b8">.</tspan></text> <path d="M60 280 L380 280" stroke="#ffffff10" stroke-width="1"/> <text x="60" y="305" font-family="sans-serif" font-size="11" fill="#94a3b8" font-style="italic">"A change in sequence fundamentally alters the outcome."</text> <!-- Right Column: Binary Data --> <rect x="460" y="110" width="400" height="220" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="480" y="140" font-family="sans-serif" font-weight="bold" font-size="18" fill="#f59e0b">02. BINARY ATOMICS</text> <!-- Binary Visual --> <g transform="translate(480, 160)"> <rect x="0" y="0" width="30" height="40" rx="4" fill="#f59e0b" opacity="0.8"/> <text x="15" y="25" text-anchor="middle" font-family="monospace" font-size="18" font-weight="bold" fill="#0f172a">1</text> <rect x="35" y="0" width="30" height="40" rx="4" fill="#ffffff10" stroke="#f59e0b"/> <text x="50" y="25" text-anchor="middle" font-family="monospace" font-size="18" font-weight="bold" fill="#f8fafc">0</text> <rect x="70" y="0" width="30" height="40" rx="4" fill="#f59e0b" opacity="0.8"/> <text x="85" y="25" text-anchor="middle" font-family="monospace" font-size="18" font-weight="bold" fill="#0f172a">1</text> <rect x="105" y="0" width="30" height="40" rx="4" fill="#f59e0b" opacity="0.8"/> <text x="120" y="25" text-anchor="middle" font-family="monospace" font-size="18" font-weight="bold" fill="#0f172a">1</text> <text x="150" y="25" font-family="sans-serif" font-size="14" fill="#94a3b8">=</text> <text x="175" y="25" font-family="sans-serif" font-size="22" font-weight="bold" fill="#f8fafc">11</text> <text x="205" y="25" font-family="sans-serif" font-size="12" fill="#94a3b8">(Decimal)</text> </g> <text x="480" y="235" font-family="sans-serif" font-size="13" fill="#f8fafc" font-weight="bold">Bit: <tspan font-weight="normal" fill="#94a3b8">Smallest unit (0 or 1).</tspan></text> <text x="480" y="255" font-family="sans-serif" font-size="13" fill="#f8fafc" font-weight="bold">Byte: <tspan font-weight="normal" fill="#94a3b8">8 bits (256 distinct values).</tspan></text> <g transform="translate(480, 280)"> <rect width="360" height="35" rx="8" fill="#00000030"/> <text x="10" y="22" font-family="serif" font-size="14" fill="#38bdf8" font-style="italic">Value = Σ (d_i × 2^i)</text> <text x="160" y="22" font-family="sans-serif" font-size="11" fill="#94a3b8">Positional notation derivation</text> </g> <!-- Bottom Section: Data Types --> <rect x="40" y="350" width="820" height="170" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="385" font-family="sans-serif" font-weight="bold" font-size="18" fill="#e879f9">03. 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fill="#94a3b8">Bundled data and logic (Objects).</text> <!-- Center Area: The Blueprint Illustration --> <rect x="320" y="120" width="540" height="240" rx="16" fill="#ffffff05" stroke="#ffffff10" stroke-dasharray="4 4"/> <!-- Blueprint Graphic --> <g transform="translate(360, 160)"> <!-- Blueprint Side --> <rect width="160" height="120" fill="#38bdf810" stroke="#38bdf8" stroke-width="1" stroke-dasharray="4 2"/> <path d="M 20 100 L 80 40 L 140 100 Z" fill="none" stroke="#38bdf8" stroke-width="2"/> <rect x="65" y="75" width="30" height="25" fill="none" stroke="#38bdf8" stroke-width="1"/> <text x="80" y="135" font-family="sans-serif" font-size="14" font-weight="bold" fill="#38bdf8" text-anchor="middle">CLASS (Blueprint)</text> <text x="80" y="150" font-family="sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">The Logical Template</text> <!-- Arrow --> <path d="M 180 60 L 240 60" stroke="#f59e0b" stroke-width="3" marker-end="url(#arrowhead)"/> <text x="210" y="50" 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Fundamentals - diagram 1https://www.getlykke.com/explore/public/intro-to-python-fundamentals-7d69e48a-d004-41fe-9114-c2d622302ba8/media/unit-6-object-oriented-programming/svg/2Unit 6: Object-Oriented Programming (OOP) diagram 2Unit 6: Object-Oriented Programming (OOP) - Intro to Python Fundamentals - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dotPattern" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10" /> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dotPattern)"/> <!-- 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Intro to Python Fundamentals - image 1https://www.getlykke.com/explore/public/intro-to-python-fundamentals-7d69e48a-d004-41fe-9114-c2d622302ba8/media/curriculum-wrap-up-and-projects/svg/1Curriculum Wrap-up and Practical Design diagram 1Curriculum Wrap-up and Practical Design - Intro to Python Fundamentals - diagram 1https://www.getlykke.com/explore/public/principles-management-f8e5b267-5d1c-49fe-a6cf-4f1aea655c622026-04-20T04:47:57.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accent-blue" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#0ea5e9"/> </linearGradient> <filter id="glow" x="-20%" y="-20%" width="140%" height="140%"> <feGaussianBlur stdDeviation="4" result="blur" /> <feComposite in="SourceGraphic" in2="blur" operator="over" /> </filter> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="40" y="60" font-family="Inter, sans-serif" font-weight="800" font-size="32" fill="#f8fafc">Foundations of Management</text> <text x="40" y="85" font-family="Inter, sans-serif" font-size="16" fill="#94a3b8" letter-spacing="1">THE POLC FRAMEWORK &amp; EVOLUTIONARY LOGIC</text> <rect x="40" y="105" width="120" height="4" rx="2" fill="#f59e0b"/> <!-- Left Column: Evolution --> <g transform="translate(40, 140)"> <rect width="240" height="380" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="20" y="35" font-family="Inter, sans-serif" font-weight="700" font-size="18" fill="#e879f9">Evolution of Theory</text> <!-- Scientific Management --> <rect x="15" y="60" width="210" height="110" rx="12" fill="#ffffff05" stroke="#ffffff10"/> <circle cx="40" cy="85" r="12" fill="#e879f9" fill-opacity="0.2"/> <path d="M35 85 L45 85 M40 80 L40 90" stroke="#e879f9" stroke-width="2"/> <text x="60" y="90" font-family="Inter, sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Scientific (Taylorism)</text> <text x="25" y="115" font-family="Inter, sans-serif" font-size="11" fill="#94a3b8"> <tspan x="25" dy="1.2em">• Focus on efficiency &amp; logic</tspan> <tspan x="25" dy="1.2em">• Workers as machine parts</tspan> <tspan x="25" dy="1.2em">• Rigid industrial commands</tspan> </text> <!-- Arrow --> <path d="M120 185 L120 215" stroke="#94a3b8" stroke-width="2" stroke-dasharray="4 4" marker-end="url(#arrowhead)"/> <!-- Behavioral Management --> <rect x="15" y="230" width="210" height="110" rx="12" fill="#ffffff05" stroke="#ffffff10"/> <circle cx="40" cy="255" r="12" fill="#38bdf8" fill-opacity="0.2"/> <path d="M35 255 Q40 245 45 255" fill="none" stroke="#38bdf8" stroke-width="2"/> <text x="60" y="260" font-family="Inter, sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Behavioral Approach</text> <text x="25" y="285" font-family="Inter, sans-serif" font-size="11" fill="#94a3b8"> <tspan x="25" dy="1.2em">• Social &amp; psychological needs</tspan> <tspan x="25" dy="1.2em">• Motivation &amp; group dynamics</tspan> <tspan x="25" dy="1.2em">• Strategic agility &amp; systems</tspan> </text> </g> <!-- Center: POLC Loop --> <g transform="translate(310, 140)"> <rect width="280" height="380" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="140" y="35" text-anchor="middle" font-family="Inter, sans-serif" font-weight="700" font-size="18" fill="#38bdf8">The Iterative Loop</text> <!-- Central Circle --> <circle cx="140" cy="210" r="85" fill="none" stroke="#ffffff10" stroke-width="1" stroke-dasharray="8 8"/> <!-- P - 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Principles Management - image 1https://www.getlykke.com/explore/public/principles-management-f8e5b267-5d1c-49fe-a6cf-4f1aea655c62/media/foundations-of-management-polc/svg/1Foundations of Management and the POLC Framework diagram 1Foundations of Management and the POLC Framework - Principles Management - diagram 1https://www.getlykke.com/explore/public/principles-management-f8e5b267-5d1c-49fe-a6cf-4f1aea655c62/media/foundations-of-management-polc/svg/2Foundations of Management and the POLC Framework diagram 2Foundations of Management and the POLC Framework - Principles Management - diagram 2https://www.getlykke.com/explore/public/principles-management-f8e5b267-5d1c-49fe-a6cf-4f1aea655c62/media/foundations-of-management-polc/svg/3Foundations of Management and the POLC Framework diagram 3Foundations of Management and the POLC Framework - Principles Management - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">STRATEGIC &amp; HUMAN RESOURCE MANAGEMENT</text> <text x="450" y="75" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" font-style="italic">The Nexus of Organizational Intent and Human Capital</text> <line x1="300" y1="85" x2="600" y2="85" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 4"/> <!-- Left Panel: Strategic Management --> <rect x="40" y="110" width="400" height="320" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">I. STRATEGIC FRAMEWORK</text> <text x="60" y="160" font-family="sans-serif" font-size="12" fill="#94a3b8">The "Where" and "What" of the future.</text> <!-- POLC Icons/Grid --> <g transform="translate(60, 180)"> <rect width="180" height="100" rx="8" fill="#ffffff05" stroke="#ffffff10"/> <text x="10" y="20" font-family="sans-serif" font-weight="bold" font-size="12" fill="#f59e0b">POLC MODEL</text> <circle cx="25" cy="50" r="15" fill="#38bdf820" stroke="#38bdf8"/> <text x="25" y="55" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="14" fill="#38bdf8">P</text> <circle cx="65" cy="50" r="15" fill="#38bdf820" stroke="#38bdf8"/> <text x="65" y="55" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="14" fill="#38bdf8">O</text> <circle cx="105" cy="50" r="15" fill="#38bdf820" stroke="#38bdf8"/> <text x="105" y="55" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="14" fill="#38bdf8">L</text> <circle cx="145" cy="50" r="15" fill="#38bdf820" stroke="#38bdf8"/> <text x="145" y="55" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="14" fill="#38bdf8">C</text> <text x="10" y="85" font-family="sans-serif" font-size="10" fill="#94a3b8">Planning • Organizing • Leading • Controlling</text> </g> <!-- SMP Pipeline --> <g transform="translate(60, 300)"> <text x="0" y="0" font-family="sans-serif" font-weight="bold" font-size="12" fill="#f59e0b">STRATEGIC PROCESS (SMP)</text> <path d="M 0 25 L 350 25" stroke="#ffffff20" stroke-width="2"/> <circle cx="0" cy="25" r="4" fill="#38bdf8"/> <text x="0" y="45" font-family="sans-serif" font-size="10" fill="#f8fafc">Mission</text> <circle cx="85" cy="25" r="4" fill="#38bdf8"/> <text x="85" y="45" font-family="sans-serif" font-size="10" fill="#f8fafc">Scanning</text> <circle cx="170" cy="25" r="4" fill="#38bdf8"/> <text x="170" y="45" font-family="sans-serif" font-size="10" fill="#f8fafc">Formulation</text> <circle cx="255" cy="25" r="4" fill="#e879f9" filter="url(#glow)"/> <text x="255" y="45" font-family="sans-serif" font-size="10" fill="#e879f9" font-weight="bold">Implementation</text> <circle cx="340" cy="25" r="4" fill="#38bdf8"/> <text x="340" y="45" font-family="sans-serif" font-size="10" fill="#f8fafc">Evaluation</text> <path d="M 255 35 L 255 70 L 400 70" fill="none" stroke="#e879f9" stroke-width="1" stroke-dasharray="2 2"/> <text x="260" y="85" font-family="sans-serif" font-size="10" fill="#e879f9">HRM Integration Point</text> </g> <!-- Right Panel: Strategic HRM --> <rect x="460" y="110" width="400" height="320" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="480" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">II. 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dominant-baseline="middle">REMIX</text> <text x="35" y="28" font-family="sans-serif" font-size="11" fill="#94a3b8">Combine with other materials</text> </g> <g transform="translate(45, 380)"> <circle r="12" cx="12" cy="12" fill="#38bdf822" stroke="#38bdf8" stroke-width="1.5"/> <path d="M12 7v10M8 13l4 4 4-4" stroke="#38bdf8" stroke-width="1.5" fill="none"/> <text x="35" y="12" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc" dominant-baseline="middle">REDISTRIBUTE</text> <text x="35" y="28" font-family="sans-serif" font-size="11" fill="#94a3b8">Share copies with the world</text> </g> <!-- Center Column: Comparison & Economics --> <rect x="315" y="90" width="270" height="240" rx="16" fill="#ffffff08" stroke="#e879f933" stroke-width="1"/> <text x="330" y="120" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">Resource Comparison</text> <g transform="translate(330, 145)"> <rect width="240" height="35" rx="4" fill="#ffffff05"/> <text x="10" y="22" font-family="sans-serif" font-size="12" font-weight="700" fill="#94a3b8">COST</text> <text x="70" y="22" font-family="sans-serif" font-size="12" fill="#f87171">Traditional: $300+</text> <text x="180" y="22" font-family="sans-serif" font-size="12" fill="#4ade80">OER: $0</text> </g> <g transform="translate(330, 190)"> <rect width="240" height="35" rx="4" fill="#ffffff05"/> <text x="10" y="22" font-family="sans-serif" font-size="12" font-weight="700" fill="#94a3b8">LEGAL</text> <text x="70" y="22" font-family="sans-serif" font-size="12" fill="#f87171">Copyrighted</text> <text x="180" y="22" font-family="sans-serif" font-size="12" fill="#4ade80">Creative Com.</text> </g> <g transform="translate(330, 235)"> <rect width="240" height="35" rx="4" fill="#ffffff05"/> <text x="10" y="22" font-family="sans-serif" font-size="12" font-weight="700" fill="#94a3b8">UPDATES</text> <text x="70" y="22" font-family="sans-serif" font-size="12" fill="#f87171">Static Editions</text> <text x="180" y="22" font-family="sans-serif" font-size="12" fill="#4ade80">Real-time</text> </g> <rect x="315" y="345" width="270" height="185" rx="16" fill="#ffffff08" stroke="#f43f5e33" stroke-width="1"/> <text x="330" y="375" font-family="sans-serif" font-weight="700" font-size="18" fill="#f43f5e">Equity Vectors</text> <g transform="translate(330, 395)"> <text x="0" y="15" font-family="sans-serif" font-weight="700" font-size="13" fill="#f8fafc">AFFORDABILITY</text> <text x="0" y="32" font-family="sans-serif" font-size="11" fill="#94a3b8">Quantitative: Reducing financial friction</text> <text x="0" y="45" font-family="sans-serif" font-size="11" fill="#94a3b8">and textbook "regressive taxes."</text> <text x="0" y="80" font-family="sans-serif" font-weight="700" font-size="13" fill="#f8fafc">ACCESSIBILITY</text> <text x="0" y="97" font-family="sans-serif" font-size="11" fill="#94a3b8">Qualitative: UDL standards, screen</text> <text x="0" y="110" font-family="sans-serif" font-size="11" fill="#94a3b8">readers, and reflowable EPUB3 text.</text> </g> <!-- Right Column: POLC Framework --> <rect x="605" y="90" width="265" height="440" rx="16" fill="#ffffff08" stroke="#f59e0b33" stroke-width="1"/> <text x="620" y="120" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">POLC Implementation</text> <text x="620" y="138" font-family="sans-serif" font-size="11" fill="#94a3b8">Managing the OER transition</text> <g transform="translate(620, 170)"> <rect width="235" height="75" rx="8" fill="#f59e0b10"/> <text x="12" y="25" font-family="sans-serif" font-weight="700" font-size="14" fill="#f59e0b">1. PLANNING</text> <text x="12" y="45" font-family="sans-serif" font-size="11" fill="#f8fafc">Strategic Alignment: Calculating</text> <text x="12" y="58" font-family="sans-serif" font-size="11" fill="#f8fafc">Potential Student Savings (PSS).</text> </g> <g transform="translate(620, 255)"> <rect width="235" height="75" rx="8" fill="#f59e0b10"/> <text x="12" y="25" font-family="sans-serif" font-weight="700" font-size="14" fill="#f59e0b">2. ORGANIZING</text> <text x="12" y="45" font-family="sans-serif" font-size="11" fill="#f8fafc">Resource Allocation: Curating</text> <text x="12" y="58" font-family="sans-serif" font-size="11" fill="#f8fafc">Subject Matter Expert networks.</text> </g> <g transform="translate(620, 340)"> <rect width="235" height="75" rx="8" fill="#f59e0b10"/> <text x="12" y="25" font-family="sans-serif" font-weight="700" font-size="14" fill="#f59e0b">3. LEADING</text> <text x="12" y="45" font-family="sans-serif" font-size="11" fill="#f8fafc">Change Management: Overcoming</text> <text x="12" y="58" font-family="sans-serif" font-size="11" fill="#f8fafc">faculty status-quo bias.</text> </g> <g transform="translate(620, 425)"> <rect width="235" height="75" rx="8" fill="#f59e0b10"/> <text x="12" y="25" font-family="sans-serif" font-weight="700" font-size="14" fill="#f59e0b">4. CONTROLLING</text> <text x="12" y="45" font-family="sans-serif" font-size="11" fill="#f8fafc">Quality Assurance: Peer-review</text> <text x="12" y="58" font-family="sans-serif" font-size="11" fill="#f8fafc">and academic integrity audits.</text> </g> <!-- Decorative Connectors --> <path d="M295 280 Q305 280 315 280" stroke="#ffffff22" stroke-width="2" fill="none" stroke-dasharray="4"/> <path d="M585 280 Q595 280 605 280" stroke="#ffffff22" stroke-width="2" fill="none" stroke-dasharray="4"/> <!-- Footer --> <text x="450" y="548" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#475569">Educational Wiki Resource • Management Series • Creative Commons BY-SA</text> </svg>Open Educational Resources (OER) in Management image 1Open Educational Resources (OER) in Management - Principles Management - image 1https://www.getlykke.com/explore/public/principles-management-f8e5b267-5d1c-49fe-a6cf-4f1aea655c62/media/oer-and-accessible-education/svg/1Open Educational Resources (OER) in Management diagram 1Open Educational Resources (OER) in Management - Principles Management - diagram 1https://www.getlykke.com/explore/public/principles-management-f8e5b267-5d1c-49fe-a6cf-4f1aea655c62/media/oer-and-accessible-education/svg/2Open Educational Resources (OER) in Management diagram 2Open Educational Resources (OER) in Management - Principles Management - diagram 2https://www.getlykke.com/explore/public/business-law-i-essentials-8d94c72f-822c-417f-a0fb-45c18c8fafa22026-04-20T04:47:34.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background and Grid --> <rect width="900" height="560" fill="url(#bg)"/> <g stroke="#ffffff08" stroke-width="1"> <path d="M0 40h900M0 80h900M0 120h900M0 160h900M0 200h900M0 240h900M0 280h900M0 320h900M0 360h900M0 400h900M0 440h900M0 480h900M0 520h900"/> <path d="M40 0v560M80 0v560M120 0v560M160 0v560M200 0v560M240 0v560M280 0v560M320 0v560M360 0v560M400 0v560M440 0v560M480 0v560M520 0v560M560 0v560M600 0v560M640 0v560M680 0v560M720 0v560M760 0v560M800 0v560M840 0v560"/> </g> <!-- Header Section --> <text x="40" y="60" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">LEGAL ENVIRONMENT <tspan fill="#38bdf8">SYSTEM STACK</tspan></text> <text x="40" y="85" font-family="sans-serif" font-size="14" fill="#94a3b8" letter-spacing="1">ARCHITECTURAL LAYERS OF THE U.S. LEGAL SYSTEM</text> <rect x="40" y="100" width="120" height="4" fill="url(#accentGrad)" rx="2"/> <!-- Main Stack Container --> <g transform="translate(40, 130)"> <!-- Level 0: Constitution --> <rect x="0" y="340" width="380" height="60" rx="12" fill="#f59e0b20" stroke="#f59e0b" stroke-width="2"/> <circle cx="30" cy="370" r="15" fill="#f59e0b"/> <path d="M25 370l3 3 7-7" stroke="#0f172a" stroke-width="3" fill="none"/> <text x="60" y="365" font-family="sans-serif" font-weight="bold" font-size="16" fill="#f8fafc">LEVEL 0: U.S. CONSTITUTION</text> <text x="60" y="382" font-family="sans-serif" font-size="12" fill="#f59e0b">The System Kernel / Root Specification</text> <!-- Level 1: Federal Statutes --> <rect x="20" y="270" width="360" height="60" rx="12" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <rect x="22" y="285" width="16" height="30" rx="2" fill="#38bdf8" transform="translate(10,0)"/> <text x="60" y="295" font-family="sans-serif" font-weight="bold" font-size="16" fill="#f8fafc">LEVEL 1: FEDERAL STATUTES</text> <text x="60" y="312" font-family="sans-serif" font-size="12" fill="#38bdf8">Legislative Code / U.S.C. Implementation</text> <!-- Level 2: State Constitutions --> <rect x="40" y="200" width="340" height="60" rx="12" fill="#e879f920" stroke="#e879f9" stroke-width="2"/> <path d="M50 220h20v20h-20z" fill="#e879f9"/> <text x="80" y="225" font-family="sans-serif" font-weight="bold" font-size="16" fill="#f8fafc">LEVEL 2: STATE CONSTITUTIONS</text> <text x="80" y="242" font-family="sans-serif" font-size="12" fill="#e879f9">Regional Governance Modules</text> <!-- Level 3: Administrative Regulations --> <rect x="60" y="130" width="320" height="60" rx="12" fill="#2dd4bf20" stroke="#2dd4bf" stroke-width="2"/> <circle cx="85" cy="160" r="10" stroke="#2dd4bf" stroke-width="3" fill="none"/> <text x="105" y="155" font-family="sans-serif" font-weight="bold" font-size="16" fill="#f8fafc">LEVEL 3: ADMIN REGULATIONS</text> <text x="105" y="172" font-family="sans-serif" font-size="12" fill="#2dd4bf">Functional API / Agency Rules</text> <!-- Level 4: Common Law --> <rect x="80" y="60" width="300" height="60" rx="12" fill="#94a3b820" stroke="#94a3b8" stroke-width="2"/> <path d="M95 80l15 20h-30z" fill="#94a3b8"/> <text x="125" y="85" font-family="sans-serif" font-weight="bold" font-size="16" fill="#f8fafc">LEVEL 4: COMMON LAW</text> <text x="125" y="102" font-family="sans-serif" font-size="12" fill="#94a3b8">Interpretive Logic / Precedent Patches</text> <!-- Connecting Hierarchy Line --> <path d="M400 370h40V90h-20" stroke="#94a3b8" stroke-width="2" fill="none" stroke-dasharray="4 4"/> <circle cx="440" cy="230" r="4" fill="#38bdf8"/> </g> <!-- Right Side Callouts --> <g transform="translate(500, 130)"> <!-- The Engine Callout --> <rect width="360" height="120" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="20" y="35" font-family="sans-serif" font-weight="bold" font-size="18" fill="#f59e0b">THE COMMERCE CLAUSE</text> <text x="20" y="60" font-family="sans-serif" font-size="13" fill="#f8fafc" width="320"> The "Business Engine" (Art. I, Sec. 8). </text> <text x="20" y="80" font-family="sans-serif" font-size="12" fill="#94a3b8"> Grants Congress power to regulate activities </text> <text x="20" y="95" font-family="sans-serif" font-size="12" fill="#94a3b8"> with "substantial economic effect" on </text> <text x="20" y="110" font-family="sans-serif" font-size="12" fill="#94a3b8"> interstate commerce. </text> <path d="M300 40l20 20-20 20M320 40l20 20-20 20" stroke="#f59e0b" stroke-width="3" fill="none" opacity="0.5"/> <!-- UCC Callout --> <rect y="140" width="360" height="120" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="20" y="175" font-family="sans-serif" font-weight="bold" font-size="18" fill="#38bdf8">UNIFORM COMMERCIAL CODE</text> <text x="20" y="200" font-family="sans-serif" font-size="13" fill="#f8fafc"> Standardizing the "Application Layer." </text> <text x="20" y="220" font-family="sans-serif" font-size="12" fill="#94a3b8"> A harmonized set of laws for sales, leases, </text> <text x="20" y="235" font-family="sans-serif" font-size="12" fill="#94a3b8"> and finance adopted across all 50 states </text> <text x="20" y="250" font-family="sans-serif" font-size="12" fill="#94a3b8"> to prevent market fragmentation. </text> <circle cx="320" cy="200" r="15" stroke="#38bdf8" stroke-width="2" fill="none" stroke-dasharray="4 2"/> <path d="M315 200h10M320 195v10" stroke="#38bdf8" stroke-width="2"/> <!-- State Action Doctrine --> <rect y="280" width="360" height="120" rx="16" fill="#e879f908" stroke="#e879f930"/> <text x="20" y="315" font-family="sans-serif" font-weight="bold" font-size="18" fill="#e879f9">STATE ACTION DOCTRINE</text> <text x="20" y="340" font-family="sans-serif" font-size="13" fill="#f8fafc"> The "Access Control" Logic. </text> <text x="20" y="360" font-family="sans-serif" font-size="12" fill="#94a3b8"> Constitutional protections generally apply </text> <text x="20" y="375" font-family="sans-serif" font-size="12" fill="#94a3b8"> to government interference, NOT to </text> <text x="20" y="390" font-family="sans-serif" font-size="12" fill="#94a3b8"> private corporate entities. </text> </g> <!-- Footer Info --> <rect x="0" y="520" width="900" height="40" fill="#00000040"/> <text x="450" y="545" font-family="sans-serif" font-size="11" fill="#64748b" text-anchor="middle" letter-spacing="2">SUPREMACY CLAUSE (ARTICLE VI) ESTABLISHES THE HIERARCHY OF AUTHORITY</text> <!-- Decorative Elements --> <circle cx="850" cy="50" r="30" fill="url(#accentGrad)" opacity="0.1"/> <circle cx="850" cy="50" r="15" fill="url(#accentGrad)" opacity="0.2"/> </svg>Foundations of the Legal Environment image 1Foundations of the Legal Environment - Business Law I Essentials - image 1https://www.getlykke.com/explore/public/business-law-i-essentials-8d94c72f-822c-417f-a0fb-45c18c8fafa2/media/foundations-legal-environment/svg/1Foundations of the Legal Environment diagram 1Foundations of the Legal Environment - Business Law I Essentials - diagram 1https://www.getlykke.com/explore/public/business-law-i-essentials-8d94c72f-822c-417f-a0fb-45c18c8fafa2/media/foundations-legal-environment/svg/2Foundations of the Legal Environment diagram 2Foundations of the Legal Environment - Business Law I Essentials - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#f59e0b"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <!-- Decorative Grid --> <pattern id="dots" x="0" y="0" width="30" height="30" 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--> <rect x="320" y="120" width="260" height="280" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="340" y="150" fill="#f59e0b" font-family="sans-serif" font-weight="700" font-size="18">NEGLIGENCE PILLARS</text> <g transform="translate(340, 175)"> <!-- Pillar 1 --> <circle cx="15" cy="15" r="12" fill="#38bdf822" stroke="#38bdf8" stroke-width="2"/> <text x="15" y="19" text-anchor="middle" fill="#38bdf8" font-size="10" font-weight="bold">1</text> <text x="40" y="15" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="13">Duty of Care</text> <text x="40" y="30" fill="#94a3b8" font-family="sans-serif" font-size="11">Reasonable Person Standard</text> <!-- Pillar 2 --> <g transform="translate(0, 50)"> <circle cx="15" cy="15" r="12" fill="#38bdf822" stroke="#38bdf8" stroke-width="2"/> <text x="15" y="19" text-anchor="middle" fill="#38bdf8" font-size="10" font-weight="bold">2</text> <text x="40" y="15" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="13">Breach of Duty</text> <text x="40" y="30" fill="#94a3b8" font-family="sans-serif" font-size="11">Failure to meet standard</text> </g> <!-- Pillar 3 --> <g transform="translate(0, 100)"> <circle cx="15" cy="15" r="12" fill="#38bdf822" stroke="#38bdf8" stroke-width="2"/> <text x="15" y="19" text-anchor="middle" fill="#38bdf8" font-size="10" font-weight="bold">3</text> <text x="40" y="15" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="13">Causation</text> <text x="40" y="30" fill="#94a3b8" font-family="sans-serif" font-size="11">"But-for" &amp; Proximate Cause</text> </g> <!-- Pillar 4 --> <g transform="translate(0, 150)"> <circle cx="15" cy="15" r="12" fill="#38bdf822" stroke="#38bdf8" stroke-width="2"/> <text x="15" y="19" text-anchor="middle" fill="#38bdf8" font-size="10" font-weight="bold">4</text> <text x="40" y="15" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="13">Damages</text> <text x="40" y="30" fill="#94a3b8" font-family="sans-serif" font-size="11">Actual loss or harm suffered</text> </g> </g> <!-- Right Panel: The Hand Formula --> <rect x="600" y="120" width="260" height="280" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="620" y="150" fill="#e879f9" font-family="sans-serif" font-weight="700" font-size="18">THE HAND FORMULA</text> <rect x="620" y="170" width="220" height="60" rx="8" fill="#00000033"/> <text x="730" y="210" text-anchor="middle" fill="#f59e0b" font-family="serif" font-size="32" font-weight="bold" filter="url(#glow)">B &lt; P × L</text> <g transform="translate(620, 250)"> <rect width="220" height="130" rx="8" fill="#ffffff05"/> <text x="10" y="25" fill="#f8fafc" font-family="sans-serif" font-size="12" font-weight="bold">B = Burden</text> <text x="10" y="40" fill="#94a3b8" font-family="sans-serif" font-size="11">Cost of taking precautions</text> <text x="10" y="65" fill="#f8fafc" font-family="sans-serif" font-size="12" font-weight="bold">P = Probability</text> <text x="10" y="80" fill="#94a3b8" font-family="sans-serif" font-size="11">Likelihood of injury occurring</text> <text x="10" y="105" fill="#f8fafc" font-family="sans-serif" font-size="12" font-weight="bold">L = Loss</text> <text x="10" y="120" fill="#94a3b8" font-family="sans-serif" font-size="11">Gravity/Magnitude of injury</text> </g> <!-- Bottom Panel: Intentional Torts --> <rect x="40" y="420" width="820" height="110" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="450" fill="#f8fafc" font-family="sans-serif" font-weight="700" font-size="16">INTENTIONAL TORTS: VOLITIONAL HARM</text> <g transform="translate(60, 470)"> <!-- Icon 1 --> <rect width="170" height="45" rx="6" fill="#ffffff08"/> <circle cx="20" cy="22" r="10" fill="#f59e0b33" stroke="#f59e0b" stroke-width="1"/> <text x="40" y="20" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="12">Defamation</text> <text x="40" y="34" fill="#94a3b8" font-family="sans-serif" font-size="10">Harm to reputation</text> <!-- Icon 2 --> <g transform="translate(190, 0)"> <rect width="170" height="45" rx="6" fill="#ffffff08"/> <circle cx="20" cy="22" r="10" fill="#38bdf833" stroke="#38bdf8" stroke-width="1"/> <text x="40" y="20" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="12">Fraud</text> <text x="40" y="34" fill="#94a3b8" font-family="sans-serif" font-size="10">Material misrepresentation</text> </g> <!-- Icon 3 --> <g transform="translate(380, 0)"> <rect width="170" height="45" rx="6" fill="#ffffff08"/> <circle cx="20" cy="22" r="10" fill="#e879f933" stroke="#e879f9" stroke-width="1"/> <text x="40" y="20" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="12">Conversion</text> <text x="40" y="34" fill="#94a3b8" font-family="sans-serif" font-size="10">Civil equivalent of theft</text> </g> <!-- Icon 4 --> <g transform="translate(570, 0)"> <rect width="130" height="45" rx="6" fill="#ffffff08"/> <circle cx="20" cy="22" r="10" fill="#10b98133" stroke="#10b981" stroke-width="1"/> <text x="40" y="20" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="12">Interference</text> <text x="40" y="34" fill="#94a3b8" font-family="sans-serif" font-size="10">Contractual breach</text> </g> </g> <!-- Visual Connectors --> <path d="M300 260 L320 260" stroke="#ffffff15" stroke-width="2" fill="none"/> <path d="M580 260 L600 260" stroke="#ffffff15" stroke-width="2" fill="none"/> </svg>Tort Law and Criminal Liability image 1Tort Law and Criminal Liability - Business Law I Essentials - image 1https://www.getlykke.com/explore/public/business-law-i-essentials-8d94c72f-822c-417f-a0fb-45c18c8fafa2/media/torts-criminal-liability/svg/1Tort Law and Criminal Liability diagram 1Tort Law and Criminal Liability - Business Law I Essentials - diagram 1https://www.getlykke.com/explore/public/business-law-i-essentials-8d94c72f-822c-417f-a0fb-45c18c8fafa2/media/torts-criminal-liability/svg/2Tort Law and Criminal Liability diagram 2Tort Law and Criminal Liability - Business Law I Essentials - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="cardGrad" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#ffffff15"/> <stop offset="100%" stop-color="#ffffff05"/> </linearGradient> <filter id="glow" x="-20%" y="-20%" width="140%" height="140%"> <feGaussianBlur stdDeviation="5" result="blur" /> <feComposite in="SourceGraphic" in2="blur" operator="over" /> </filter> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#334155" /> </pattern> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Header Section --> <text x="40" y="60" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">CONTRACT LAW FUNDAMENTALS</text> <text x="40" y="85" font-family="sans-serif" font-size="14" fill="#94a3b8" letter-spacing="1">THE ARCHITECTURE OF ENFORCEABLE PRIVATE ORDERING</text> <line x1="40" y1="105" x2="860" y2="105" stroke="#334155" stroke-width="1"/> <!-- Step 1: Offer --> <rect x="40" y="130" width="260" height="360" rx="16" fill="url(#cardGrad)" stroke="#38bdf833" stroke-width="1"/> <circle cx="75" y="165" r="20" fill="#38bdf822"/> <path d="M68 165 L72 165 L78 158 M68 172 L82 172" stroke="#38bdf8" stroke-width="2" fill="none"/> <text x="105" y="170" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">01. THE OFFER</text> <text x="60" y="210" font-family="sans-serif" font-weight="600" font-size="13" fill="#f8fafc">Objective Theory</text> <text x="60" y="228" font-family="sans-serif" font-size="11" fill="#94a3b8">Intent is judged by outward facts,</text> <text x="60" y="242" font-family="sans-serif" font-size="11" fill="#94a3b8">not secret subjective thoughts.</text> <rect x="60" y="265" width="220" height="1" fill="#334155"/> <text x="60" y="290" font-family="sans-serif" font-weight="600" font-size="13" fill="#f8fafc">Essential Elements</text> <circle cx="65" cy="315" r="3" fill="#38bdf8"/> <text x="75" y="319" font-family="sans-serif" font-size="12" fill="#f8fafc">Serious Intent</text> <circle cx="65" cy="340" r="3" fill="#38bdf8"/> <text x="75" y="344" font-family="sans-serif" font-size="12" fill="#f8fafc">Definite Terms</text> <circle cx="65" cy="365" r="3" fill="#38bdf8"/> <text x="75" y="369" font-family="sans-serif" font-size="12" fill="#f8fafc">Communication</text> <text x="60" y="420" font-family="sans-serif" font-size="11" fill="#94a3b8" font-style="italic">"A manifestation of willingness</text> <text x="60" y="435" font-family="sans-serif" font-size="11" fill="#94a3b8" font-style="italic">to enter into a bargain."</text> <!-- Step 2: Acceptance --> <rect x="320" y="130" width="260" height="360" rx="16" fill="url(#cardGrad)" stroke="#e879f933" stroke-width="1"/> <circle cx="355" y="165" r="20" fill="#e879f922"/> <path d="M348 165 L353 170 L363 160" stroke="#e879f9" stroke-width="2" fill="none"/> <text x="385" y="170" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">02. ACCEPTANCE</text> <text x="340" y="210" font-family="sans-serif" font-weight="600" font-size="13" fill="#f8fafc">Mirror Image Rule</text> <text x="340" y="228" font-family="sans-serif" font-size="11" fill="#94a3b8">Acceptance must match the offer</text> <text x="340" y="242" font-family="sans-serif" font-size="11" fill="#94a3b8">exactly. 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CONSIDERATION</text> <text x="620" y="210" font-family="sans-serif" font-weight="600" font-size="13" fill="#f8fafc">Bargained-for Exchange</text> <text x="620" y="228" font-family="sans-serif" font-size="11" fill="#94a3b8">The "Glue" of the contract.</text> <text x="620" y="242" font-family="sans-serif" font-size="11" fill="#94a3b8">Distinguishes a contract from a gift.</text> <rect x="620" y="265" width="220" height="1" fill="#334155"/> <text x="620" y="290" font-family="sans-serif" font-weight="600" font-size="13" fill="#f8fafc">Legal Detriment</text> <text x="620" y="310" font-family="sans-serif" font-size="11" fill="#f8fafc">1. Doing what one is not bound to do.</text> <text x="620" y="325" font-family="sans-serif" font-size="11" fill="#f8fafc">2. Refraining from a legal right.</text> <text x="620" y="360" font-family="sans-serif" font-weight="600" font-size="13" fill="#ef4444">Invalid Forms</text> <text x="620" y="380" font-family="sans-serif" font-size="11" fill="#94a3b8">• Past Consideration</text> <text x="620" y="395" font-family="sans-serif" font-size="11" fill="#94a3b8">• Pre-existing Duties</text> <text x="620" y="410" font-family="sans-serif" font-size="11" fill="#94a3b8">• Illusory Promises</text> <!-- Connecting Arrows --> <path d="M300 310 L320 310" stroke="#334155" stroke-width="2" marker-end="url(#arrowhead)"/> <path d="M580 310 L600 310" stroke="#334155" stroke-width="2" marker-end="url(#arrowhead)"/> <defs> <marker id="arrowhead" markerWidth="10" markerHeight="7" refX="0" refY="3.5" orient="auto"> <polygon points="0 0, 10 3.5, 0 7" fill="#334155" /> </marker> </defs> <!-- Footer Info --> <rect x="40" y="510" width="820" height="30" rx="8" fill="#ffffff05"/> <text x="450" y="530" font-family="sans-serif" font-size="12" fill="#64748b" text-anchor="middle" letter-spacing="0.5"> MUTUAL ASSENT + CONSIDERATION = <tspan fill="#f8fafc" font-weight="bold">ENFORCEABLE CONTRACT</tspan> </text> </svg>Contract Law Fundamentals image 1Contract Law Fundamentals - Business Law I Essentials - image 1https://www.getlykke.com/explore/public/business-law-i-essentials-8d94c72f-822c-417f-a0fb-45c18c8fafa2/media/contract-law-fundamentals/svg/1Contract Law Fundamentals diagram 1Contract Law Fundamentals - Business Law I Essentials - diagram 1https://www.getlykke.com/explore/public/business-law-i-essentials-8d94c72f-822c-417f-a0fb-45c18c8fafa2/media/contract-law-fundamentals/svg/2Contract Law Fundamentals diagram 2Contract Law Fundamentals - Business Law I Essentials - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> 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font-weight="400" font-size="14" fill="#94a3b8" text-anchor="end">LEGAL FRAMEWORK &amp; DELEGATED AUTHORITY</text> <!-- SECTION 1: THE PRINCIPAL-AGENT CORE --> <rect x="40" y="110" width="270" height="240" rx="16" fill="url(#cardGrad)" stroke="#ffffff10" stroke-width="1"/> <text x="60" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">The Core Relationship</text> <!-- Visual: Principal to Agent --> <circle cx="90" cy="190" r="25" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <text x="90" y="194" font-family="sans-serif" font-size="10" font-weight="bold" fill="#38bdf8" text-anchor="middle">PRINCIPAL</text> <path d="M120 190 L180 190" stroke="#94a3b8" stroke-width="2" stroke-dasharray="4 2" marker-end="url(#arrow)"/> <text x="150" y="180" font-family="sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">Assent</text> <circle cx="220" cy="190" r="25" fill="#e879f920" stroke="#e879f9" stroke-width="2"/> <text x="220" y="194" font-family="sans-serif" font-size="10" font-weight="bold" fill="#e879f9" text-anchor="middle">AGENT</text> <text x="60" y="250" font-family="sans-serif" font-size="13" fill="#f8fafc" font-weight="bold">Hallmarks of Agency:</text> <text x="60" y="275" font-family="sans-serif" font-size="12" fill="#94a3b8">• Consent by both parties</text> <text x="60" y="295" font-family="sans-serif" font-size="12" fill="#94a3b8">• Action on Principal's behalf</text> <text x="60" y="315" font-family="sans-serif" font-size="12" fill="#94a3b8">• Control of objectives</text> <!-- SECTION 2: TYPES OF AUTHORITY --> <rect x="325" y="110" width="250" height="240" rx="16" fill="url(#cardGrad)" stroke="#ffffff10" stroke-width="1"/> <text x="345" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">Types of Authority</text> <g transform="translate(345, 160)"> <rect width="210" height="35" rx="6" fill="#ffffff05"/> <text x="10" y="22" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f8fafc">Actual Express</text> <text x="110" y="22" font-family="sans-serif" font-size="11" fill="#94a3b8">Explicit oral/written</text> <rect y="45" width="210" height="35" rx="6" fill="#ffffff05"/> <text x="10" y="67" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f8fafc">Actual Implied</text> <text x="110" y="67" font-family="sans-serif" font-size="11" fill="#94a3b8">Necessary for task</text> <rect y="90" width="210" height="35" rx="6" fill="#ffffff05"/> <text x="10" y="112" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f8fafc">Apparent</text> <text x="110" y="112" font-family="sans-serif" font-size="11" fill="#94a3b8">3rd party perception</text> <rect y="135" width="210" height="35" rx="6" fill="#ffffff05"/> <text x="10" y="157" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f8fafc">Ratification</text> <text x="110" y="157" font-family="sans-serif" font-size="11" fill="#94a3b8">Retroactive approval</text> </g> <!-- SECTION 3: BUSINESS ORGANIZATIONS SPECTRUM --> <rect x="590" y="110" width="270" height="240" rx="16" fill="url(#cardGrad)" stroke="#ffffff10" stroke-width="1"/> <text x="610" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#10b981">The Entity Spectrum</text> <g transform="translate(610, 165)"> <!-- Spectrum Line --> <line x1="10" y1="10" x2="10" y2="150" stroke="#334155" stroke-width="2"/> <circle cx="10" cy="10" r="4" fill="#f59e0b"/> <circle cx="10" cy="150" r="4" fill="#38bdf8"/> <text x="25" y="15" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f8fafc">Sole Proprietorship</text> <text x="25" y="30" font-family="sans-serif" font-size="10" fill="#94a3b8">Informal, Total Liability</text> <text x="25" y="60" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f8fafc">General Partnership</text> <text x="25" y="75" font-family="sans-serif" font-size="10" fill="#94a3b8">Shared Agency, Joint 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care in law, requiring agents to act solely in the principal's interest.</text> <!-- Markers --> <defs> <marker id="arrow" markerWidth="10" markerHeight="10" refX="9" refY="5" orient="auto"> <path d="M0,0 L10,5 L0,10 Z" fill="#94a3b8" /> </marker> </defs> <!-- Footer Branding --> <text x="860" y="540" font-family="sans-serif" font-size="10" fill="#334155" text-anchor="end">WIKI EDUCATIONAL SERIES // LEGAL MODULE 04</text> </svg>Agency and Business Organizations image 1Agency and Business Organizations - Business Law I Essentials - image 1https://www.getlykke.com/explore/public/business-law-i-essentials-8d94c72f-822c-417f-a0fb-45c18c8fafa2/media/agency-business-organizations/svg/1Agency and Business Organizations diagram 1Agency and Business Organizations - Business Law I Essentials - diagram 1https://www.getlykke.com/explore/public/business-law-i-essentials-8d94c72f-822c-417f-a0fb-45c18c8fafa2/media/agency-business-organizations/svg/2Agency and Business Organizations diagram 2Agency 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fill="url(#dotGrid)"/> <!-- Header Section --> <text x="40" y="60" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="-0.02em">FOUNDATIONS OF MARKETING</text> <text x="40" y="85" font-family="sans-serif" font-size="16" fill="#94a3b8" font-weight="400">The Architectural Framework for Value Creation &amp; Exchange</text> <rect x="40" y="105" width="120" height="4" fill="url(#accentGrad)" rx="2"/> <!-- Main Value Equation Card (Top Left) --> <rect x="40" y="130" width="400" height="180" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="65" y="165" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">THE VALUE EQUATION</text> <text x="65" y="185" font-family="sans-serif" font-size="12" fill="#94a3b8">Perception is a ratio of utility vs. sacrifice.</text> <!-- Formula Graphic --> <g transform="translate(110, 230)"> <text x="0" y="0" font-family="serif" font-style="italic" font-size="36" fill="#f8fafc" text-anchor="middle">V</text> <text x="15" y="10" font-family="serif" font-size="14" fill="#f8fafc" text-anchor="middle">p</text> <text x="45" y="0" font-family="sans-serif" font-size="28" fill="#94a3b8" text-anchor="middle">=</text> <line x1="70" y1="-5" x2="240" y2="-5" stroke="#f8fafc" stroke-width="2"/> <text x="155" y="-20" font-family="serif" font-size="18" fill="#f59e0b" text-anchor="middle">Σ Benefits (F + E)</text> <text x="155" y="25" font-family="serif" font-size="18" fill="#e879f9" text-anchor="middle">Σ Costs (M + NM)</text> </g> <!-- RDS Test Card (Bottom Left) --> <rect x="40" y="330" width="400" height="190" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="65" y="365" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">THE R.D.S. TEST</text> <g transform="translate(65, 385)"> <!-- Resonance --> <circle cx="15" cy="15" r="12" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1.5"/> <text x="40" y="15" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc" dominant-baseline="middle">Resonance</text> <text x="40" y="32" font-family="sans-serif" font-size="11" fill="#94a3b8">Does it solve a critical pain point?</text> <!-- Differentiator --> <circle cx="15" cy="55" r="12" fill="#e879f920" stroke="#e879f9" stroke-width="1.5"/> <text x="40" y="55" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc" dominant-baseline="middle">Differentiator</text> <text x="40" y="72" font-family="sans-serif" font-size="11" fill="#94a3b8">Why you instead of the competition?</text> <!-- Substantiation --> <circle cx="15" cy="95" r="12" fill="#38bdf820" stroke="#38bdf8" stroke-width="1.5"/> <text x="40" y="95" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc" 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fill="#94a3b8">Channels, Coverage, Logistics,</text> <text x="20" y="275" font-family="sans-serif" font-size="11" fill="#94a3b8">and E-commerce.</text> <!-- Promotion --> <rect x="195" y="155" width="180" height="140" rx="12" fill="#ffffff05" stroke="#ffffff10"/> <path d="M210 185 l25 10 l-5 15 l-25 -10 z" fill="none" stroke="#4ade80" stroke-width="2"/> <text x="215" y="240" font-family="sans-serif" font-weight="700" font-size="16" fill="#f8fafc">PROMOTION</text> <text x="215" y="260" font-family="sans-serif" font-size="11" fill="#94a3b8">Advertising, PR, Social Media,</text> <text x="215" y="275" font-family="sans-serif" font-size="11" fill="#94a3b8">and Direct Sales.</text> </g> <!-- Footer Metric --> <rect x="40" y="530" width="820" height="1" fill="#ffffff20"/> <text x="40" y="550" font-family="sans-serif" font-size="10" fill="#64748b" letter-spacing="0.1em">CORE METRIC: CUSTOMER LIFETIME VALUE (CLV) = (AOV × FREQ × MARGIN) / (CHURN + DISCOUNT)</text> <!-- Decorative Elements --> 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fill="#38bdf8">RESEARCH PROCESS PIPELINE</text> <g transform="translate(480, 175)"> <!-- Pipeline Steps --> <circle cx="20" cy="20" r="15" fill="#38bdf8"/> <text x="20" y="25" font-family="sans-serif" font-weight="800" font-size="14" fill="#0f172a" text-anchor="middle">1</text> <text x="45" y="18" font-family="sans-serif" font-weight="700" font-size="12" fill="#f8fafc">Problem Definition</text> <text x="45" y="32" font-family="sans-serif" font-size="10" fill="#94a3b8">Identify decision vs research problem</text> <line x1="20" y1="35" x2="20" y2="55" stroke="#38bdf8" stroke-width="2" stroke-dasharray="2"/> <circle cx="20" cy="70" r="15" fill="#38bdf8" opacity="0.8"/> <text x="20" y="75" font-family="sans-serif" font-weight="800" font-size="14" fill="#0f172a" text-anchor="middle">2</text> <text x="45" y="68" font-family="sans-serif" font-weight="700" font-size="12" fill="#f8fafc">Research Design</text> <text x="45" y="82" font-family="sans-serif" font-size="10" 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fill="#f8fafc">INTEGRATED MARKETING</text> <text x="40" y="90" font-family="sans-serif" font-weight="300" font-size="18" fill="#38bdf8" letter-spacing="2">AND DIGITAL ECOSYSTEMS</text> <rect x="40" y="105" width="120" height="4" fill="url(#accentGrad)" rx="2"/> <!-- Left Panel: The 4Cs of IMC --> <rect x="40" y="130" width="390" height="320" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="60" y="165" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">The 4Cs of IMC</text> <text x="60" y="185" font-family="sans-serif" font-size="12" fill="#94a3b8">Strategic coordination for "One Voice" messaging.</text> <!-- 4Cs Grid --> <g transform="translate(60, 210)"> <!-- Coherence --> <rect width="165" height="50" rx="8" fill="#ffffff05" stroke="#ffffff10"/> <circle cx="20" cy="25" r="10" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1.5"/> <text x="40" y="22" font-family="sans-serif" font-weight="600" font-size="13" fill="#f8fafc">Coherence</text> 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<!-- Connecting Lines --> <path d="M430 290 L470 290" stroke="#ffffff20" stroke-width="2" stroke-dasharray="5 5"/> </svg>Integrated Marketing and Digital Trends image 1Integrated Marketing and Digital Trends - Principles Marketing - image 1https://www.getlykke.com/explore/public/principles-marketing-c127f1ca-5c35-417c-9640-f68ce61f6b85/media/integrated-marketing-and-digital-trends/svg/1Integrated Marketing and Digital Trends diagram 1Integrated Marketing and Digital Trends - Principles Marketing - diagram 1https://www.getlykke.com/explore/public/principles-marketing-c127f1ca-5c35-417c-9640-f68ce61f6b85/media/integrated-marketing-and-digital-trends/svg/2Integrated Marketing and Digital Trends diagram 2Integrated Marketing and Digital Trends - Principles Marketing - diagram 2https://www.getlykke.com/explore/public/introduction-business-3150ac8c-673e-4085-8f74-8893d73a43052026-04-20T04:46:54.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" 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height="4" rx="2" fill="#38bdf8"/> <!-- LEFT COLUMN: The Rational Model (Process) --> <rect x="40" y="135" width="280" height="385" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="60" y="165" font-family="Inter, sans-serif" font-size="18" font-weight="700" fill="#38bdf8">The Decision Cycle</text> <!-- Step 1 --> <circle cx="75" cy="205" r="15" fill="#38bdf820" stroke="#38bdf8" stroke-width="1.5"/> <text x="75" y="210" font-family="Inter, sans-serif" font-size="12" font-weight="bold" fill="#38bdf8" text-anchor="middle">1</text> <text x="100" y="200" font-family="Inter, sans-serif" font-size="14" font-weight="600" fill="#f8fafc">Problem Identification</text> <text x="100" y="215" font-family="Inter, sans-serif" font-size="11" fill="#94a3b8">Defining the gap to desired state.</text> <!-- Step 2 --> <circle cx="75" cy="255" r="15" fill="#38bdf820" stroke="#38bdf8" stroke-width="1.5"/> <text x="75" y="260" font-family="Inter, sans-serif" font-size="12" 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text-anchor="middle">6</text> <text x="100" y="450" font-family="Inter, sans-serif" font-size="14" font-weight="600" fill="#f8fafc">Evaluation</text> <text x="100" y="465" font-family="Inter, sans-serif" font-size="11" fill="#94a3b8">Closing the feedback loop.</text> <!-- Connecting Line --> <line x1="75" y1="220" x2="75" y2="240" stroke="#38bdf840" stroke-width="2" stroke-dasharray="4 2"/> <line x1="75" y1="270" x2="75" y2="290" stroke="#38bdf840" stroke-width="2" stroke-dasharray="4 2"/> <line x1="75" y1="320" x2="75" y2="340" stroke="#38bdf840" stroke-width="2" stroke-dasharray="4 2"/> <line x1="75" y1="370" x2="75" y2="390" stroke="#38bdf840" stroke-width="2" stroke-dasharray="4 2"/> <line x1="75" y1="420" x2="75" y2="440" stroke="#38bdf840" stroke-width="2" stroke-dasharray="4 2"/> <!-- RIGHT TOP: Comparative Frameworks --> <text x="340" y="155" font-family="Inter, sans-serif" font-size="18" font-weight="700" fill="#f59e0b">Decision Frameworks</text> <!-- Rational Card --> <rect 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y="225" font-family="Inter, sans-serif" font-size="12" fill="#f8fafc">Goal: Satisficing</text> <text x="540" y="245" font-family="Inter, sans-serif" font-size="11" fill="#94a3b8">Limited by time,</text> <text x="540" y="260" font-family="Inter, sans-serif" font-size="11" fill="#94a3b8">cognition, and data.</text> <rect x="540" y="285" width="80" height="18" rx="4" fill="#38bdf820"/> <text x="545" y="298" font-family="Inter, sans-serif" font-size="10" font-weight="bold" fill="#38bdf8">"GOOD ENOUGH"</text> <!-- Intuitive Card --> <rect x="710" y="175" width="150" height="140" rx="12" fill="#e879f910" stroke="#e879f930"/> <text x="725" y="200" font-family="Inter, sans-serif" font-size="14" font-weight="700" fill="#e879f9">Intuitive Model</text> <text x="725" y="225" font-family="Inter, sans-serif" font-size="12" fill="#f8fafc">Goal: Speed</text> <text x="725" y="245" font-family="Inter, sans-serif" font-size="11" fill="#94a3b8">Pattern recognition</text> <text x="725" y="260" 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E</text> <text x="680" y="472" font-family="Inter, sans-serif" font-size="10" fill="#94a3b8">Customer Delight</text> <!-- Bottom Label --> <text x="360" y="505" font-family="Inter, sans-serif" font-size="11" font-style="italic" fill="#94a3b8">"Business is no longer a static exercise in resource management; it is a dynamic process of navigating uncertainty."</text> <!-- Decorative Shapes --> <circle cx="850" cy="50" r="30" fill="none" stroke="#e879f9" stroke-width="0.5" opacity="0.3"/> <circle cx="850" cy="50" r="20" fill="none" stroke="#38bdf8" stroke-width="0.5" opacity="0.3"/> <path d="M820 520 L840 500 L860 520" fill="none" stroke="#f59e0b" stroke-width="1" opacity="0.4"/> </svg>Foundations of Business and Decision Making image 1Foundations of Business and Decision Making - Introduction Business - image 1https://www.getlykke.com/explore/public/introduction-business-3150ac8c-673e-4085-8f74-8893d73a4305/media/foundations-and-decision-making/svg/1Foundations of Business and Decision Making diagram 1Foundations of Business and Decision Making - Introduction Business - diagram 1https://www.getlykke.com/explore/public/introduction-business-3150ac8c-673e-4085-8f74-8893d73a4305/media/foundations-and-decision-making/svg/2Foundations of Business and Decision Making diagram 2Foundations of Business and Decision Making - Introduction Business - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="cardGrad" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#ffffff1a"/> <stop offset="100%" stop-color="#ffffff05"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> <pattern id="grid" width="30" height="30" 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letter-spacing="1">ENTREPRENEURSHIP &amp; AI INNOVATION</text> <path d="M 300 65 L 600 65" stroke="url(#accent-blue)" stroke-width="2" stroke-linecap="round" opacity="0.6"/> <text x="450" y="85" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" font-style="italic">The Convergence of Opportunity Identification and Predictive Logic</text> <!-- Left Panel: The Entrepreneurial Framework --> <rect x="30" y="120" width="260" height="300" rx="16" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <circle cx="60" cy="150" r="12" fill="url(#accent-gold)"/> <path d="M 56 150 L 64 150 M 60 146 L 60 154" stroke="#0f172a" stroke-width="2"/> <text x="80" y="155" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">THE FRAMEWORK</text> <g font-family="sans-serif" font-size="13" fill="#f8fafc"> <text x="50" y="190" font-weight="bold" fill="#f59e0b">01. IDENTIFICATION</text> <text x="50" y="208" fill="#94a3b8">Spotting market inefficiencies</text> <text x="50" y="222" fill="#94a3b8">and resource gaps.</text> <text x="50" y="255" font-weight="bold" fill="#f59e0b">02. EVALUATION</text> <text x="50" y="273" fill="#94a3b8">Assessing scalability and</text> <text x="50" y="287" fill="#94a3b8">risk-adjusted returns.</text> <text x="50" y="320" font-weight="bold" fill="#f59e0b">03. EXPLOITATION</text> <text x="50" y="338" fill="#94a3b8">Mobilizing capital and talent</text> <text x="50" y="352" fill="#94a3b8">to capture value.</text> </g> <!-- Right Panel: The AI Stack --> <rect x="610" y="120" width="260" height="300" rx="16" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <rect x="630" y="140" width="20" height="20" rx="4" fill="url(#accent-blue)"/> <text x="660" y="155" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">THE AI STACK</text> <g font-family="sans-serif" font-size="12"> <!-- Layer 4 --> <rect x="630" y="180" width="220" height="35" rx="6" fill="#38bdf820" stroke="#38bdf840"/> <text x="740" y="202" text-anchor="middle" fill="#f8fafc" font-weight="bold">APPLICATION (UI/API)</text> <!-- Layer 3 --> <rect x="630" y="225" width="220" height="35" rx="6" fill="#38bdf815" stroke="#38bdf830"/> <text x="740" y="247" text-anchor="middle" fill="#94a3b8">MODELING (ML/LLM)</text> <!-- Layer 2 --> <rect x="630" y="270" width="220" height="35" rx="6" fill="#38bdf810" stroke="#38bdf820"/> <text x="740" y="292" text-anchor="middle" fill="#94a3b8">DATA PIPELINES (ETL)</text> <!-- Layer 1 --> <rect x="630" y="315" width="220" height="35" rx="6" fill="#38bdf805" stroke="#38bdf810"/> <text x="740" y="337" text-anchor="middle" fill="#94a3b8">INFRASTRUCTURE (CLOUD)</text> </g> <text x="740" y="385" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#38bdf8" font-style="italic">"AI reduces the cost of prediction"</text> <!-- Center: The Economic Shift --> <circle cx="450" cy="270" r="90" fill="#ffffff05" stroke="#ffffff10" stroke-dasharray="4 4"/> <!-- Prediction vs Judgment --> <g transform="translate(370, 220)"> <rect width="160" height="100" rx="12" fill="#1e293b" stroke="#e879f9" stroke-width="1" opacity="0.8"/> <text x="80" y="30" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="bold" fill="#e879f9">THE SYNERGY</text> <path d="M 30 45 L 130 45" stroke="#ffffff20"/> <text x="80" y="65" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#f8fafc">PREDICTION (AI)</text> <text x="80" y="82" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#f8fafc">+ JUDGMENT (HUMAN)</text> </g> <!-- Connecting Lines --> <path d="M 290 270 L 370 270" stroke="#f59e0b" stroke-width="2" stroke-dasharray="4 2" opacity="0.4"/> <path d="M 530 270 L 610 270" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 2" opacity="0.4"/> <!-- Bottom: The Data Flywheel --> <rect x="30" y="440" width="840" height="100" rx="16" fill="#ffffff05" stroke="#ffffff10"/> <text x="50" y="470" font-family="sans-serif" font-weight="700" font-size="16" fill="#f8fafc">THE DATA FLYWHEEL</text> <g transform="translate(250, 485)" font-family="sans-serif" font-size="11" font-weight="bold"> <!-- Flywheel Steps --> <rect x="0" y="0" width="100" height="30" rx="15" fill="#38bdf820" stroke="#38bdf8"/> <text x="50" y="19" text-anchor="middle" fill="#38bdf8">MORE USERS</text> <path d="M 110 15 L 140 15" stroke="#94a3b8" stroke-width="2" marker-end="url(#arrow)"/> <rect x="150" y="0" width="100" height="30" rx="15" fill="#e879f920" stroke="#e879f9"/> <text x="200" y="19" text-anchor="middle" fill="#e879f9">MORE DATA</text> <path d="M 260 15 L 290 15" stroke="#94a3b8" stroke-width="2"/> <rect x="300" y="0" width="100" height="30" rx="15" fill="#f59e0b20" stroke="#f59e0b"/> <text x="350" y="19" text-anchor="middle" fill="#f59e0b">BETTER AI</text> <path d="M 410 15 L 440 15" stroke="#94a3b8" stroke-width="2"/> <rect x="450" y="0" width="120" height="30" rx="15" fill="#10b98120" stroke="#10b981"/> <text x="510" y="19" text-anchor="middle" fill="#10b981">BETTER PRODUCT</text> <!-- Return Arrow --> <path d="M 510 -5 Q 300 -40 50 -5" fill="none" stroke="#ffffff20" stroke-width="2" stroke-dasharray="5 5"/> </g> <!-- Decorative elements --> <circle cx="850" cy="50" r="40" fill="url(#accent-blue)" opacity="0.1"/> <circle cx="50" cy="510" r="30" fill="url(#accent-gold)" opacity="0.1"/> <!-- Marker Definition --> <defs> <marker id="arrow" markerWidth="10" markerHeight="10" refX="9" refY="3" orient="auto" markerUnits="strokeWidth"> <path d="M0,0 L0,6 L9,3 z" fill="#94a3b8" /> </marker> </defs> </svg>Entrepreneurship and Technological Innovation image 1Entrepreneurship and Technological Innovation - 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Section --> <text x="40" y="60" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">EPISTEMOLOGY</text> <text x="40" y="85" font-family="sans-serif" font-weight="400" font-size="16" fill="#94a3b8">The Architecture of Knowledge &amp; Intellectual Inquiry</text> <line x1="40" y1="105" x2="860" y2="105" stroke="#334155" stroke-width="1" /> <!-- Left Panel: JTB Framework --> <rect x="40" y="130" width="400" height="260" rx="16" fill="#ffffff0a" stroke="#ffffff15" /> <text x="60" y="160" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">The Tripartite Theory (JTB)</text> <!-- Venn Diagram --> <g transform="translate(140, 260)"> <!-- Belief --> <circle cx="0" cy="-20" r="55" fill="#e879f9" fill-opacity="0.2" stroke="#e879f9" stroke-width="2" /> <text x="0" y="-35" font-family="sans-serif" font-size="11" font-weight="bold" fill="#e879f9" text-anchor="middle">BELIEF</text> <!-- Truth --> <circle cx="-35" cy="35" r="55" 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y="265" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f8fafc" text-anchor="middle">Rationalism</text> <text x="567" y="285" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">A Priori / Reason</text> <text x="567" y="310" font-family="sans-serif" font-size="10" fill="#64748b" text-anchor="middle">Knowledge is innate,</text> <text x="567" y="325" font-family="sans-serif" font-size="10" fill="#64748b" text-anchor="middle">derived from logic</text> <text x="567" y="340" font-family="sans-serif" font-size="10" fill="#64748b" text-anchor="middle">and pure intellect.</text> <!-- Empiricism --> <rect x="665" y="180" width="175" height="190" rx="12" fill="#ffffff05" stroke="#ffffff10" /> <circle cx="752" cy="220" r="25" fill="#38bdf820" stroke="#38bdf8" stroke-width="1" /> <path d="M740 220 Q752 200 764 220 Q752 240 740 220 Z" fill="none" stroke="#38bdf8" stroke-width="2" /> <circle cx="752" cy="220" r="5" fill="#38bdf8" /> <text x="752" y="265" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f8fafc" text-anchor="middle">Empiricism</text> <text x="752" y="285" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">A Posteriori / Senses</text> <text x="752" y="310" font-family="sans-serif" font-size="10" fill="#64748b" text-anchor="middle">Knowledge comes from</text> <text x="752" y="325" font-family="sans-serif" font-size="10" fill="#64748b" text-anchor="middle">sensory experience</text> <text x="752" y="340" font-family="sans-serif" font-size="10" fill="#64748b" text-anchor="middle">and observation.</text> <!-- Bottom Panel: The Gettier Problem --> <rect x="40" y="410" width="820" height="110" rx="16" fill="#7f1d1d30" stroke="#ef444440" /> <path d="M60 440 L80 440 L70 420 Z" fill="#ef4444" /> <text x="95" y="440" font-family="sans-serif" font-weight="700" font-size="18" fill="#ef4444">The Gettier Problem (1963)</text> <text x="60" y="470" font-family="sans-serif" font-size="13" fill="#f8fafc">Edmund Gettier challenged the JTB framework by showing that one can have a Justified True Belief that is only true by <tspan fill="#ef4444" font-weight="bold">accidental luck</tspan>.</text> <text x="60" y="490" font-family="sans-serif" font-size="12" font-style="italic" fill="#94a3b8">Example: Looking at a broken clock that happens to show the correct time. You believe it, it's true, and you're justified—but do you "know" it?</text> <!-- Decorative Elements --> <circle cx="850" cy="50" r="30" fill="none" stroke="#ffffff08" stroke-width="8" /> <path d="M820 40 L880 40" stroke="#ffffff08" stroke-width="2" /> <path d="M850 10 L850 70" stroke="#ffffff08" stroke-width="2" /> </svg>Epistemology: The Study of Knowledge image 1Epistemology: The Study of Knowledge - Introduction Philosophy - image 1https://www.getlykke.com/explore/public/introduction-philosophy-1a18dc12-b581-475b-ab67-809c8bfd2d13/media/epistemology-study-of-knowledge/svg/1Epistemology: The Study of Knowledge diagram 1Epistemology: The Study of Knowledge - Introduction Philosophy - diagram 1https://www.getlykke.com/explore/public/introduction-philosophy-1a18dc12-b581-475b-ab67-809c8bfd2d13/media/epistemology-study-of-knowledge/svg/2Epistemology: The Study of Knowledge diagram 2Epistemology: The Study of Knowledge - Introduction Philosophy - diagram 2https://www.getlykke.com/explore/public/introduction-philosophy-1a18dc12-b581-475b-ab67-809c8bfd2d13/media/epistemology-study-of-knowledge/svg/3Epistemology: The Study of Knowledge diagram 3Epistemology: The Study of Knowledge - Introduction Philosophy - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accent-gold" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#f59e0b"/> <stop offset="100%" stop-color="#fbbf24"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> </defs> <!-- Background Layer --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="450" y="55" text-anchor="middle" font-family="sans-serif" font-size="32" font-weight="800" fill="#f8fafc" letter-spacing="2">METAPHYSICS</text> <text x="450" y="82" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="500" fill="#38bdf8" letter-spacing="4">THE ARCHITECTONICS OF BEING</text> <line x1="350" y1="95" x2="550" y2="95" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 2"/> <!-- Central Concept: The Source Code Analogy --> <rect x="310" y="120" width="280" height="140" rx="16" fill="#ffffff10" stroke="#38bdf844" stroke-width="1"/> <circle cx="450" cy="190" r="60" fill="#38bdf808" stroke="#38bdf833" stroke-width="1" stroke-dasharray="5 5"/> <text x="450" y="150" text-anchor="middle" font-family="monospace" font-size="14" font-weight="bold" fill="#38bdf8">SYSTEM_CORE.LOGIC</text> <text x="450" y="175" text-anchor="middle" font-family="sans-serif" font-size="12" fill="#f8fafc">Physics: Runtime Behavior</text> <text x="450" y="195" text-anchor="middle" font-family="sans-serif" font-size="12" fill="#f8fafc">Metaphysics: Source Code</text> <path d="M410 215 L490 215" stroke="#f59e0b" stroke-width="2"/> <text x="450" y="235" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#94a3b8">"First Philosophy" — Aristotle</text> <!-- Left Panel: Ontology --> <rect x="30" y="120" width="260" height="200" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="50" y="150" font-family="sans-serif" font-size="18" font-weight="bold" fill="#f59e0b">ONTOLOGY</text> <text x="50" y="170" font-family="sans-serif" font-size="11" fill="#94a3b8">The Taxonomy of Existence</text> <!-- Particulars vs Universals --> <g transform="translate(50, 195)"> <circle cx="15" cy="15" r="12" fill="none" stroke="#f59e0b" stroke-width="2"/> <text x="35" y="15" font-family="sans-serif" font-size="13" fill="#f8fafc" font-weight="bold">Particulars</text> <text x="35" y="30" font-family="sans-serif" font-size="11" fill="#94a3b8">Individual entities (A 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consists of fundamental entities</text> <text x="20" y="105" font-family="sans-serif" font-size="12" fill="#f8fafc">that possess properties.</text> <!-- Visual: Core with orbiting dots --> <circle cx="320" cy="40" r="10" fill="#38bdf8"/> <circle cx="300" cy="30" r="3" fill="#38bdf866"/> <circle cx="340" cy="35" r="3" fill="#38bdf866"/> <circle cx="315" cy="55" r="3" fill="#38bdf866"/> </g> <!-- Bundle Theory --> <g transform="translate(480, 390)"> <rect width="360" height="110" rx="12" fill="#ffffff05" stroke="#e879f933"/> <text x="20" y="30" font-family="sans-serif" font-size="15" font-weight="bold" fill="#e879f9">Bundle Theory</text> <text x="20" y="50" font-family="sans-serif" font-size="11" fill="#94a3b8">David Hume / ECS Model</text> <path d="M20 70 L340 70" stroke="#ffffff10" stroke-width="1"/> <text x="20" y="90" font-family="sans-serif" font-size="12" fill="#f8fafc">Objects are merely "bundles" of</text> <text x="20" y="105" font-family="sans-serif" font-size="12" fill="#f8fafc">properties with no underlying core.</text> <!-- Visual: Cluster of dots --> <circle cx="310" cy="35" r="5" fill="#e879f9"/> <circle cx="325" cy="30" r="5" fill="#e879f9cc"/> <circle cx="318" cy="45" r="5" fill="#e879f999"/> <circle cx="332" cy="42" r="5" fill="#e879f966"/> </g> <!-- Connecting Lines (Flow of Inquiry) --> <path d="M160 120 L160 105 L450 105" fill="none" stroke="#f59e0b44" stroke-width="1"/> <path d="M740 120 L740 105 L450 105" fill="none" stroke="#e879f944" stroke-width="1"/> <!-- Footer Note --> <text x="450" y="545" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#475569" font-style="italic">Metaphysics investigates the categories of existence that make the universe possible.</text> </svg>Metaphysics: The Nature of Reality image 1Metaphysics: The Nature of Reality - Introduction Philosophy - image 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<linearGradient id="accent-blue" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#1d4ed8"/> </linearGradient> <linearGradient id="accent-amber" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#f59e0b"/> <stop offset="100%" stop-color="#b45309"/> </linearGradient> <linearGradient id="accent-pink" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#e879f9"/> <stop offset="100%" stop-color="#a21caf"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <!-- Decorative Grid --> <g stroke="#ffffff08" stroke-width="1"> <path d="M0 40h900M0 80h900M0 120h900M0 160h900M0 200h900M0 240h900M0 280h900M0 320h900M0 360h900M0 400h900M0 440h900M0 480h900M0 520h900"/> <path d="M40 0v560M80 0v560M120 0v560M160 0v560M200 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moral facts.</text> <!-- Hume's Law Visual --> <g transform="translate(60, 180)"> <rect width="100" height="30" rx="4" fill="#1e293b" stroke="#38bdf8"/> <text x="50" y="20" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="12" font-weight="bold">IS (Fact)</text> <path d="M110 15 L160 15" stroke="#f43f5e" stroke-width="2" stroke-dasharray="4 2"/> <circle cx="135" cy="15" r="10" fill="#0f172a" stroke="#f43f5e"/> <text x="135" y="19" text-anchor="middle" fill="#f43f5e" font-family="sans-serif" font-size="14" font-weight="bold">!</text> <rect x="170" width="100" height="30" rx="4" fill="#1e293b" stroke="#38bdf8"/> <text x="220" y="20" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="12" font-weight="bold">OUGHT (Value)</text> <text x="0" y="50" fill="#94a3b8" font-family="sans-serif" font-size="11">Hume's Law: You cannot derive an</text> <text x="0" y="65" fill="#94a3b8" font-family="sans-serif" font-size="11">"Ought" from an "Is" (The Gap).</text> </g> <!-- Metaethical Categories --> <g transform="translate(60, 265)" font-family="sans-serif" font-size="10"> <rect width="80" height="20" rx="4" fill="#38bdf820" stroke="#38bdf840"/> <text x="40" y="14" text-anchor="middle" fill="#38bdf8">REALISM</text> <rect x="90" width="80" height="20" rx="4" fill="#38bdf820" stroke="#38bdf840"/> <text x="130" y="14" text-anchor="middle" fill="#38bdf8">RELATIVISM</text> <rect x="180" width="80" height="20" rx="4" fill="#38bdf820" stroke="#38bdf840"/> <text x="220" y="14" text-anchor="middle" fill="#38bdf8">EMOTIVISM</text> </g> <!-- Right Panel: Normative Ethics (The Action) --> <rect x="460" y="110" width="400" height="200" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="480" y="140" fill="#f59e0b" font-family="sans-serif" font-weight="bold" font-size="18">NORMATIVE ETHICS</text> <text x="480" y="160" fill="#94a3b8" font-family="sans-serif" font-size="12">The "Source Code" — How we should act.</text> <!-- Comparison: 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font-weight="bold">DEONTOLOGY</text> <text x="40" y="85" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10">Focus: Duty/Rules</text> </g> </g> <!-- Bottom Panel: Aesthetics (The Perception) --> <rect x="40" y="330" width="820" height="190" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="450" y="360" text-anchor="middle" fill="#e879f9" font-family="sans-serif" font-weight="bold" font-size="18">AESTHETICS</text> <text x="450" y="380" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="12">The study of sensory value, art, and the nature of beauty.</text> <!-- Aesthetics Visual --> <g transform="translate(100, 400)"> <!-- Sensory Input --> <circle cx="50" cy="50" r="40" fill="url(#accent-pink)" opacity="0.3" filter="glow"/> <path d="M30 50 Q50 20 70 50 T110 50" fill="none" stroke="#e879f9" stroke-width="2"/> <text x="50" y="105" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="11" font-weight="bold">SENSORY 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1https://www.getlykke.com/explore/public/introduction-philosophy-1a18dc12-b581-475b-ab67-809c8bfd2d13/media/value-theory-ethics-and-aesthetics/svg/1Value Theory: Ethics and Aesthetics diagram 1Value Theory: Ethics and Aesthetics - Introduction Philosophy - diagram 1https://www.getlykke.com/explore/public/introduction-philosophy-1a18dc12-b581-475b-ab67-809c8bfd2d13/media/value-theory-ethics-and-aesthetics/svg/2Value Theory: Ethics and Aesthetics diagram 2Value Theory: Ethics and Aesthetics - Introduction Philosophy - diagram 2https://www.getlykke.com/explore/public/introduction-philosophy-1a18dc12-b581-475b-ab67-809c8bfd2d13/media/value-theory-ethics-and-aesthetics/svg/3Value Theory: Ethics and Aesthetics diagram 3Value Theory: Ethics and Aesthetics - Introduction Philosophy - diagram 3https://www.getlykke.com/explore/public/world-history-volume-1-c7be9c73-47b4-435a-bfa2-8946f05fb89e2026-04-20T04:46:06.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dotGrid" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10" /> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dotGrid)"/> <!-- Decorative Accents --> <circle cx="850" cy="50" r="100" fill="#38bdf808" /> <circle cx="50" cy="510" r="80" fill="#f59e0b08" /> <line x1="50" y1="80" x2="850" y2="80" stroke="#ffffff20" stroke-width="1" /> <!-- Header --> <text x="50" y="55" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">THE GREAT TRANSITION</text> <text x="440" y="55" font-family="sans-serif" font-weight="300" font-size="18" fill="#94a3b8">Foundations of Human Society</text> <!-- Left Panel: Paleolithic --> <rect x="40" y="110" width="260" height="340" rx="16" fill="#ffffff08" stroke="#ffffff15" /> <text x="60" y="145" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">PALEOLITHIC</text> <text x="60" y="165" font-family="sans-serif" font-size="12" fill="#94a3b8">The Foraging Era (Pre-10,000 BCE)</text> <!-- Icon: Spear/Nature --> <g transform="translate(60, 185)"> <circle cx="20" cy="20" r="20" fill="#38bdf820" /> <path d="M10 30 L30 10 M25 10 L30 10 L30 15" stroke="#38bdf8" stroke-width="2" fill="none" /> <path d="M15 25 Q20 15 30 20" stroke="#38bdf8" stroke-width="1.5" fill="none" /> </g> <g font-family="sans-serif" font-size="13" fill="#f8fafc"> <text x="60" y="250">• Nomadic Bands (&lt;50 people)</text> <text x="60" y="275">• High Dietary Breadth</text> <text x="60" y="300">• Egalitarian Kinship</text> <text x="60" y="325">• Minimal Private Property</text> <text x="60" y="350">• Low Disease Load</text> </g> <text x="60" y="420" font-family="sans-serif" font-size="11" fill="#94a3b8" font-style="italic">"The Original Affluent Society"</text> <!-- Center: The Pivot --> <g transform="translate(320, 110)"> <path d="M0 170 L40 170" stroke="#f59e0b" stroke-width="2" stroke-dasharray="4 4" /> <rect x="40" y="120" width="180" height="100" rx="12" fill="#f59e0b15" stroke="#f59e0b" stroke-width="1" /> <text x="130" y="150" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="14" fill="#f59e0b">NEOLITHIC</text> <text x="130" y="170" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="14" fill="#f59e0b">REVOLUTION</text> <text x="130" y="195" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#f8fafc">c. 10,000 – 3,000 BCE</text> <path d="M220 170 L260 170" stroke="#e879f9" stroke-width="2" stroke-dasharray="4 4" /> <!-- Mechanics Box --> <rect x="40" y="240" width="180" height="100" rx="12" fill="#ffffff05" stroke="#ffffff20" /> <text x="130" y="265" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="12" fill="#94a3b8">DOMESTICATION</text> <circle cx="100" cy="295" r="15" fill="#f59e0b20" /> <path d="M95 295 L105 295 M100 290 L100 300" stroke="#f59e0b" stroke-width="2" /> <circle cx="160" cy="295" r="15" fill="#38bdf820" /> <rect x="153" y="288" width="14" height="14" stroke="#38bdf8" fill="none" stroke-width="2" /> <text x="130" y="325" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#64748b">Symbiotic Genetic Modification</text> </g> <!-- Right Panel: Neolithic/Urban --> <rect x="600" y="110" width="260" height="340" rx="16" fill="#ffffff08" stroke="#ffffff15" /> <text x="620" y="145" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">URBAN STATE</text> <text x="620" y="165" font-family="sans-serif" font-size="12" fill="#94a3b8">Sedentary Complexity (Post-4,000 BCE)</text> <!-- Icon: 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1https://www.getlykke.com/explore/public/world-history-volume-1-c7be9c73-47b4-435a-bfa2-8946f05fb89e/media/foundations-early-civilizations/svg/1Foundations of Human Society and Early Civilizations diagram 1Foundations of Human Society and Early Civilizations - World History Volume 1 - diagram 1https://www.getlykke.com/explore/public/world-history-volume-1-c7be9c73-47b4-435a-bfa2-8946f05fb89e/media/foundations-early-civilizations/svg/2Foundations of Human Society and Early Civilizations diagram 2Foundations of Human Society and Early Civilizations - World History Volume 1 - diagram 2https://www.getlykke.com/explore/public/world-history-volume-1-c7be9c73-47b4-435a-bfa2-8946f05fb89e/media/foundations-early-civilizations/svg/3Foundations of Human Society and Early Civilizations diagram 3Foundations of Human Society and Early Civilizations - World History Volume 1 - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="cardGrad" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#ffffff1a"/> <stop offset="100%" stop-color="#ffffff05"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <!-- Decorative Grid --> <g stroke="#ffffff08" stroke-width="1"> <path d="M0 100h900M0 200h900M0 300h900M0 400h900M0 500h900"/> <path d="M100 0v560M200 0v560M300 0v560M400 0v560M500 0v560M600 0v560M700 0v560M800 0v560"/> </g> <!-- Header Section --> <text x="450" y="60" text-anchor="middle" font-family="Arial, sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">THE CLASSICAL AGE</text> <text x="450" y="90" text-anchor="middle" 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lingua franca</tspan> <tspan x="75" dy="20">• Urbanization: The Polis as a service</tspan> <tspan x="75" dy="20">• Syncretism: Merging local &amp; Greek gods</tspan> </text> <!-- Card 2: Pax Romana --> <rect x="465" y="140" width="385" height="170" rx="16" fill="url(#cardGrad)" stroke="#ffffff10"/> <circle cx="505" cy="180" r="20" fill="#f59e0b20" stroke="#f59e0b" stroke-width="2"/> <!-- Icon: Roman Arch --> <path d="M495 190v-10a10 10 0 0 1 20 0v10" stroke="#f59e0b" stroke-width="2" fill="none"/> <text x="540" y="178" font-family="Arial, sans-serif" font-weight="700" font-size="18" fill="#f8fafc">PAX ROMANA</text> <text x="540" y="195" font-family="Arial, sans-serif" font-size="12" fill="#f59e0b" font-weight="bold">THE INFRASTRUCTURE STACK</text> <text x="490" y="230" font-family="Arial, sans-serif" font-size="13" fill="#cbd5e1"> <tspan x="490" dy="0">• Roman Law: Universal legal protocols</tspan> <tspan x="490" dy="20">• Logistics: 80,000km of paved roads</tspan> <tspan x="490" 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HELLENISM --> <rect x="40" y="110" width="400" height="190" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <circle cx="75" cy="145" r="20" fill="url(#accent-blue)" fill-opacity="0.2"/> <!-- Column Icon --> <path d="M65 155 L85 155 M68 155 L68 135 M75 155 L75 135 M82 155 L82 135 M65 135 L85 135 M63 135 Q75 125 87 135" stroke="#38bdf8" stroke-width="2" fill="none"/> <text x="105" y="145" font-family="Arial, sans-serif" font-weight="bold" font-size="20" fill="#38bdf8">The Cultural API</text> <text x="105" y="162" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">HELLENISTIC SYNTHESIS</text> <text x="65" y="195" font-family="Arial, sans-serif" font-size="13" fill="#f8fafc" font-weight="bold">Core Logic:</text> <text x="140" y="195" font-family="Arial, sans-serif" font-size="13" fill="#cbd5e1">Standardized cultural protocols (Koiné Greek).</text> <text x="65" y="215" font-family="Arial, sans-serif" font-size="13" fill="#f8fafc" font-weight="bold">Mechanism:</text> <text x="145" y="215" font-family="Arial, sans-serif" font-size="13" fill="#cbd5e1">The Polis Model (Gymnasium, Agora, Theater).</text> <rect x="65" y="235" width="350" height="45" rx="8" fill="#00000020"/> <text x="75" y="252" font-family="Arial, sans-serif" font-size="11" fill="#38bdf8" font-weight="bold">KEY INNOVATION</text> <text x="75" y="268" font-family="Arial, sans-serif" font-size="12" fill="#f8fafc">Syncretism: Merging local deities with Greek philosophy.</text> <!-- 2. PAX ROMANA --> <rect x="460" y="110" width="400" height="190" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <circle cx="495" cy="145" r="20" fill="url(#accent-gold)" fill-opacity="0.2"/> <!-- Arch/Road Icon --> <path d="M485 155 L485 140 Q495 125 505 140 L505 155 M480 155 L510 155" stroke="#f59e0b" stroke-width="2" fill="none"/> <text x="525" y="145" font-family="Arial, sans-serif" font-weight="bold" font-size="20" fill="#f59e0b">The Infrastructure Stack</text> <text x="525" y="162" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">ROMAN IMPERIAL ORDER</text> <text x="485" y="195" font-family="Arial, sans-serif" font-size="13" fill="#f8fafc" font-weight="bold">Core Logic:</text> <text x="560" y="195" font-family="Arial, sans-serif" font-size="13" fill="#cbd5e1">Universal Law (Code) + Physical Connectivity.</text> <text x="485" y="215" font-family="Arial, sans-serif" font-size="13" fill="#f8fafc" font-weight="bold">Mechanism:</text> <text x="565" y="215" font-family="Arial, sans-serif" font-size="13" fill="#cbd5e1">Hard-coded logistics (50,000 miles of roads).</text> <rect x="485" y="235" width="350" height="45" rx="8" fill="#00000020"/> <text x="495" y="252" font-family="Arial, sans-serif" font-size="11" fill="#f59e0b" font-weight="bold">KEY INNOVATION</text> <text x="495" y="268" font-family="Arial, sans-serif" font-size="12" fill="#f8fafc">Roman Law: "Innocent until proven guilty" heuristic.</text> <!-- 3. MANDATE OF HEAVEN --> <rect x="40" y="320" width="400" height="190" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <circle cx="75" cy="355" r="20" fill="url(#accent-red)" fill-opacity="0.2"/> <!-- Pagoda Icon --> <path d="M65 365 L85 365 M60 355 L90 355 M65 345 L85 345 M75 335 L75 365" stroke="#f87171" stroke-width="2" fill="none"/> <text x="105" y="355" font-family="Arial, sans-serif" font-weight="bold" font-size="20" fill="#f87171">The Moral OS</text> <text x="105" y="372" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">EAST ASIAN BUREAUCRACY</text> <text x="65" y="405" font-family="Arial, sans-serif" font-size="13" fill="#f8fafc" font-weight="bold">Core Logic:</text> <text x="140" y="405" font-family="Arial, sans-serif" font-size="13" fill="#cbd5e1">Divine legitimacy tied to ethical performance.</text> <text x="65" y="425" font-family="Arial, sans-serif" font-size="13" fill="#f8fafc" font-weight="bold">Mechanism:</text> <text x="145" y="425" font-family="Arial, sans-serif" font-size="13" fill="#cbd5e1">Meritocratic civil service (Imperial Exams).</text> <rect x="65" y="445" width="350" height="45" rx="8" fill="#00000020"/> <text x="75" y="462" font-family="Arial, sans-serif" font-size="11" fill="#f87171" font-weight="bold">KEY INNOVATION</text> <text x="75" y="478" font-family="Arial, sans-serif" font-size="12" fill="#f8fafc">The Dynastic Cycle: A self-correcting political loop.</text> <!-- 4. CASTE SYSTEM --> <rect x="460" y="320" width="400" height="190" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <circle cx="495" cy="355" r="20" fill="url(#accent-pink)" fill-opacity="0.2"/> <!-- Pyramid Icon --> <path d="M480 365 L510 365 L495 340 Z M480 365 L495 355 L510 365" stroke="#e879f9" stroke-width="2" fill="none"/> <text x="525" y="355" font-family="Arial, sans-serif" font-weight="bold" font-size="20" fill="#e879f9">The Social Protocol</text> <text x="525" y="372" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">SOUTH ASIAN VARNA SYSTEM</text> <text x="485" y="405" font-family="Arial, sans-serif" font-size="13" fill="#f8fafc" font-weight="bold">Core Logic:</text> <text x="560" y="405" font-family="Arial, sans-serif" font-size="13" fill="#cbd5e1">Decentralized social stability via hierarchy.</text> <text x="485" y="425" font-family="Arial, sans-serif" font-size="13" fill="#f8fafc" font-weight="bold">Mechanism:</text> <text x="565" y="425" font-family="Arial, sans-serif" font-size="13" fill="#cbd5e1">Strict division of labor and ritual purity.</text> <rect x="485" y="445" width="350" height="45" rx="8" fill="#00000020"/> <text x="495" y="462" font-family="Arial, sans-serif" font-size="11" fill="#e879f9" font-weight="bold">KEY INNOVATION</text> <text x="495" y="478" font-family="Arial, sans-serif" font-size="12" fill="#f8fafc">Resilience: Maintaining order without a central state.</text> <!-- Footer Stats --> <line x1="40" y1="525" x2="860" y2="525" stroke="#ffffff15" stroke-width="1"/> <text x="40" y="545" font-family="Arial, sans-serif" font-size="10" fill="#64748b" font-weight="bold">GLOBAL POPULATION (200 CE): ~200-250 MILLION</text> <text x="450" y="545" text-anchor="middle" font-family="Arial, sans-serif" font-size="10" fill="#64748b" font-weight="bold">DATA SOURCE: IMPERIAL CONSOLIDATION WIKI SECTION 4.2</text> <text x="860" y="545" text-anchor="end" font-family="Arial, sans-serif" font-size="10" fill="#64748b" font-weight="bold">CLASSICAL EPOCH V.1.0</text> </svg>The Classical Age and Imperial Consolidation image 2The Classical Age and Imperial Consolidation - World History Volume 1 - image 2https://www.getlykke.com/explore/public/world-history-volume-1-c7be9c73-47b4-435a-bfa2-8946f05fb89e/media/classical-age-empires/svg/1The Classical Age and Imperial Consolidation diagram 1The Classical Age and Imperial Consolidation - World History Volume 1 - diagram 1https://www.getlykke.com/explore/public/world-history-volume-1-c7be9c73-47b4-435a-bfa2-8946f05fb89e/media/classical-age-empires/svg/2The Classical Age and Imperial Consolidation diagram 2The Classical Age and Imperial Consolidation - World History Volume 1 - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" 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stroke="#ffffff20"/> <text x="160" y="140" text-anchor="middle" fill="#f59e0b" font-family="sans-serif" font-weight="bold" font-size="18">THE CALIPHATES</text> <!-- Umayyad --> <rect x="45" y="160" width="230" height="110" rx="8" fill="#ffffff08"/> <text x="55" y="180" fill="#f8fafc" font-family="sans-serif" font-weight="bold" font-size="14">UMAYYAD (661–750)</text> <circle cx="55" cy="200" r="3" fill="#e879f9"/> <text x="65" y="204" fill="#94a3b8" font-family="sans-serif" font-size="12">Capital: Damascus</text> <circle cx="55" cy="220" r="3" fill="#e879f9"/> <text x="65" y="224" fill="#94a3b8" font-family="sans-serif" font-size="12">Military Aristocracy</text> <circle cx="55" cy="240" r="3" fill="#e879f9"/> <text x="65" y="244" fill="#94a3b8" font-family="sans-serif" font-size="12">Rapid Territorial Conquest</text> <!-- Abbasid --> <rect x="45" y="285" width="230" height="110" rx="8" fill="#ffffff08"/> <text x="55" y="305" fill="#f8fafc" font-family="sans-serif" font-weight="bold" 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font-family="sans-serif" font-size="12">SEASONAL WINDS</text> <path d="M40 50 L100 50" stroke="#f59e0b" stroke-width="2" marker-end="url(#arrow)"/> <text x="70" y="70" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10">WINTER (NE)</text> <path d="M210 50 L150 50" stroke="#38bdf8" stroke-width="2"/> <text x="180" y="70" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10">SUMMER (SW)</text> <defs> <marker id="arrow" markerWidth="10" markerHeight="10" refX="0" refY="3" orient="auto" markerUnits="strokeWidth"> <path d="M0,0 L0,6 L9,3 z" fill="#f59e0b" /> </marker> </defs> </g> <!-- Column 3: The Software (Intellectual/Finance) --> <rect x="610" y="110" width="260" height="420" rx="16" fill="#ffffff10" stroke="#ffffff20"/> <text x="740" y="140" text-anchor="middle" fill="#e879f9" font-family="sans-serif" font-weight="bold" font-size="18">THE SOFTWARE</text> <!-- House of Wisdom --> <g transform="translate(625, 160)"> <rect width="230" height="110" rx="8" fill="#ffffff08"/> <text x="10" y="25" fill="#f8fafc" font-family="sans-serif" font-weight="bold" font-size="14">HOUSE OF WISDOM</text> <text x="10" y="50" fill="#94a3b8" font-family="sans-serif" font-size="12">Bayt al-Hikma (Baghdad)</text> <text x="10" y="75" fill="#94a3b8" font-family="sans-serif" font-size="11">Translation of Greek, Persian,</text> <text x="10" y="90" fill="#94a3b8" font-family="sans-serif" font-size="11">&amp; Indian texts into Arabic.</text> <!-- Book Icon --> <rect x="180" y="35" width="30" height="40" fill="#e879f9" opacity="0.4"/> <line x1="185" y1="45" x2="205" y2="45" stroke="#f8fafc" stroke-width="1"/> <line x1="185" y1="55" x2="205" y2="55" stroke="#f8fafc" stroke-width="1"/> </g> <!-- Hawala System --> <g transform="translate(625, 285)"> <rect width="230" height="225" rx="8" fill="#ffffff08"/> <text x="10" y="25" fill="#f8fafc" font-family="sans-serif" font-weight="bold" font-size="14">HAWALA SYSTEM</text> <text x="10" y="50" fill="#f59e0b" font-family="sans-serif" font-size="12" font-weight="bold">Distributed Ledger (v1.0)</text> <!-- Hawala Diagram --> <circle cx="50" cy="100" r="15" fill="#38bdf8" opacity="0.5"/> <text x="50" y="104" text-anchor="middle" fill="#f8fafc" font-size="8">Cordoba</text> <circle cx="180" cy="100" r="15" fill="#e879f9" opacity="0.5"/> <text x="180" y="104" text-anchor="middle" fill="#f8fafc" font-size="8">Baghdad</text> <path d="M65 100 L165 100" stroke="#f8fafc" stroke-width="1" stroke-dasharray="2 2"/> <text x="115" y="90" text-anchor="middle" fill="#94a3b8" font-size="10">Trust/Honor</text> <text x="10" y="145" fill="#94a3b8" font-family="sans-serif" font-size="11">Informal value transfer without</text> <text x="10" y="160" fill="#94a3b8" font-family="sans-serif" font-size="11">physical movement of gold.</text> <rect x="10" y="175" width="210" height="40" rx="4" fill="#00000030"/> <text x="20" y="192" fill="#38bdf8" font-family="monospace" font-size="10">if reputation > 0.8:</text> <text x="30" y="205" fill="#38bdf8" font-family="monospace" font-size="10">transfer_credit()</text> </g> <!-- Decorative Grid Lines --> <line x1="0" y1="100" x2="900" y2="100" stroke="#ffffff10" stroke-width="1"/> <line x1="300" y1="110" x2="300" y2="530" stroke="#ffffff10" stroke-width="1"/> <line x1="600" y1="110" x2="600" y2="530" stroke="#ffffff10" stroke-width="1"/> </svg>Cross-Cultural Interactions and Religious Expansion image 1Cross-Cultural Interactions and Religious Expansion - World History Volume 1 - image 1https://www.getlykke.com/explore/public/world-history-volume-1-c7be9c73-47b4-435a-bfa2-8946f05fb89e/media/cross-cultural-networks/svg/1Cross-Cultural Interactions and Religious Expansion diagram 1Cross-Cultural Interactions and Religious Expansion - World History Volume 1 - diagram 1https://www.getlykke.com/explore/public/world-history-volume-1-c7be9c73-47b4-435a-bfa2-8946f05fb89e/media/cross-cultural-networks/svg/2Cross-Cultural Interactions and Religious Expansion diagram 2Cross-Cultural Interactions and Religious Expansion - World History Volume 1 - diagram 2https://www.getlykke.com/explore/public/world-history-volume-1-c7be9c73-47b4-435a-bfa2-8946f05fb89e/media/cross-cultural-networks/svg/3Cross-Cultural Interactions and Religious Expansion diagram 3Cross-Cultural Interactions and Religious Expansion - World History Volume 1 - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="450" y="60" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-weight="800" font-size="32" letter-spacing="1">THE POST-CLASSICAL WORLD</text> <text x="450" y="85" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-weight="400" font-size="14" letter-spacing="4">ERA OF TRANSITION • 600 CE — 1450 CE</text> <line x1="350" y1="100" x2="550" y2="100" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 4"/> <!-- Left Card: Mongol Empire --> <rect x="40" y="130" width="260" height="340" rx="16" fill="#ffffff10" stroke="#f59e0b44" stroke-width="1"/> <circle cx="170" cy="175" r="30" fill="#f59e0b22"/> <!-- Icon: Bow & Arrow --> <path d="M 155 185 Q 170 155 185 185 M 170 155 L 170 195" fill="none" stroke="#f59e0b" stroke-width="2"/> <text x="170" y="230" text-anchor="middle" fill="#f59e0b" font-family="sans-serif" font-weight="bold" font-size="18">MONGOL HEGEMONY</text> <text x="60" y="260" fill="#f8fafc" font-family="sans-serif" font-weight="bold" font-size="13">Pax Mongolica</text> <text x="60" y="278" fill="#94a3b8" font-family="sans-serif" font-size="12">Unified Eurasian trade zone and</text> <text x="60" y="292" fill="#94a3b8" font-family="sans-serif" font-size="12">technological exchange.</text> <text x="60" y="320" fill="#f8fafc" font-family="sans-serif" font-weight="bold" font-size="13">The Yam System</text> <text x="60" y="338" fill="#94a3b8" font-family="sans-serif" font-size="12">Low-latency relay network</text> <text x="60" y="352" fill="#94a3b8" font-family="sans-serif" font-size="12">covering 4,500+ miles.</text> <rect x="60" y="375" width="220" height="70" rx="8" fill="#f59e0b10"/> <text x="70" y="395" fill="#f59e0b" font-family="sans-serif" font-weight="bold" font-size="11">MILITARY INNOVATION</text> <text x="70" y="412" fill="#f8fafc" font-family="sans-serif" font-size="11">Decimal Organization (Arban)</text> <text 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font-size="13">The Black Death</text> <text x="340" y="338" fill="#94a3b8" font-family="sans-serif" font-size="12">1347: Demographic shock leading</text> <text x="340" y="352" fill="#94a3b8" font-family="sans-serif" font-size="12">to labor restructuring.</text> <rect x="340" y="375" width="220" height="70" rx="8" fill="#38bdf810"/> <text x="350" y="395" fill="#38bdf8" font-family="sans-serif" font-weight="bold" font-size="11">SOCIAL HIERARCHY</text> <text x="350" y="412" fill="#f8fafc" font-family="sans-serif" font-size="11">Monarch &gt; Lords &gt; Knights</text> <text x="350" y="428" fill="#f8fafc" font-family="sans-serif" font-size="11">Serfs (Bound to the land)</text> <!-- Right Card: The Americas --> <rect x="600" y="130" width="260" height="340" rx="16" fill="#ffffff10" stroke="#e879f944" stroke-width="1"/> <circle cx="730" cy="175" r="30" fill="#e879f922"/> <!-- Icon: Pyramid --> <path d="M 710 195 L 730 160 L 750 195 M 718 182 L 742 182 M 724 172 L 736 172" fill="none" stroke="#e879f9" stroke-width="2"/> <text x="730" y="230" text-anchor="middle" fill="#e879f9" font-family="sans-serif" font-weight="bold" font-size="18">THE AMERICAS</text> <text x="620" y="260" fill="#f8fafc" font-family="sans-serif" font-weight="bold" font-size="13">Isolated Sophistication</text> <text x="620" y="278" fill="#94a3b8" font-family="sans-serif" font-size="12">Maya, Aztec, and Inca empires</text> <text x="620" y="292" fill="#94a3b8" font-family="sans-serif" font-size="12">without Afro-Eurasian contact.</text> <text x="620" y="320" fill="#f8fafc" font-family="sans-serif" font-weight="bold" font-size="13">Urban Engineering</text> <text x="620" y="338" fill="#94a3b8" font-family="sans-serif" font-size="12">Tenochtitlan and Cusco: High</text> <text x="620" y="352" fill="#94a3b8" font-family="sans-serif" font-size="12">density agricultural systems.</text> <rect x="620" y="375" width="220" height="70" rx="8" fill="#e879f910"/> <text x="630" y="395" fill="#e879f9" font-family="sans-serif" font-weight="bold" font-size="11">KEY CULTURES</text> <text x="630" y="412" fill="#f8fafc" font-family="sans-serif" font-size="11">Maya (Mathematics/Astronomy)</text> <text x="630" y="428" fill="#f8fafc" font-family="sans-serif" font-size="11">Inca (Quipu/Road Networks)</text> <!-- Bottom Timeline --> <line x1="50" y1="520" x2="850" y2="520" stroke="#94a3b8" stroke-width="1"/> <circle cx="50" cy="520" r="4" fill="#38bdf8"/> <text x="50" y="540" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10">600 CE</text> <circle cx="316" cy="520" r="4" fill="#f59e0b"/> <text x="316" y="540" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10">1206: Mongol Rise</text> <circle cx="583" cy="520" r="4" fill="#38bdf8"/> <text x="583" y="540" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10">1347: Black Death</text> <circle cx="850" cy="520" r="4" fill="#e879f9"/> <text x="850" y="540" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10">1450 CE</text> <!-- Decorative Accents --> <path d="M 860 40 L 880 40 L 880 60" fill="none" stroke="#38bdf8" stroke-width="2" opacity="0.5"/> <path d="M 40 40 L 20 40 L 20 60" fill="none" stroke="#f59e0b" stroke-width="2" opacity="0.5"/> </svg>The Post-Classical World and the Americas image 1The Post-Classical World and the Americas - World History Volume 1 - image 1https://www.getlykke.com/explore/public/world-history-volume-1-c7be9c73-47b4-435a-bfa2-8946f05fb89e/media/post-classical-americas/svg/1The Post-Classical World and the Americas diagram 1The Post-Classical World and the Americas - World History Volume 1 - diagram 1https://www.getlykke.com/explore/public/world-history-volume-1-c7be9c73-47b4-435a-bfa2-8946f05fb89e/media/post-classical-americas/svg/2The Post-Classical World and the Americas diagram 2The Post-Classical World and the Americas - World History Volume 1 - diagram 2https://www.getlykke.com/explore/public/introduction-to-openstax-us-history-and-5044cf47-1710-4ee9-aba4-a04a9944b9762026-04-20T04:45:33.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" x="0" y="0" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff05" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="40" y="60" font-family="sans-serif" font-size="32" font-weight="800" fill="#f8fafc" letter-spacing="-0.5">THE OER 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CC BY DISTRIBUTION</text> <text x="345" y="22" font-family="sans-serif" font-size="11" fill="#f8fafc" text-anchor="end">Free &amp; Open to All</text> </g> </g> <!-- Bottom Panel: Economic Impact --> <rect x="40" y="410" width="820" height="110" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <g transform="translate(70, 445)"> <text x="0" y="0" font-family="sans-serif" font-size="12" font-weight="600" fill="#94a3b8">TRADITIONAL MARKET</text> <text x="0" y="30" font-family="sans-serif" font-size="28" font-weight="800" fill="#f43f5e">+800%</text> <text x="0" y="50" font-family="sans-serif" font-size="11" fill="#94a3b8">Price increase since 1978</text> </g> <line x1="280" y1="435" x2="280" y2="495" stroke="#ffffff15" stroke-width="1"/> <g transform="translate(320, 445)"> <text x="0" y="0" font-family="sans-serif" font-size="12" font-weight="600" fill="#94a3b8">OPENSTAX IMPACT</text> <text x="0" y="30" font-family="sans-serif" font-size="28" font-weight="800" fill="#10b981">$0.00</text> <text x="0" y="50" font-family="sans-serif" font-size="11" fill="#94a3b8">Cost to students globally</text> </g> <line x1="530" y1="435" x2="530" y2="495" stroke="#ffffff15" stroke-width="1"/> <g transform="translate(570, 445)"> <text x="0" y="0" font-family="sans-serif" font-size="12" font-weight="600" fill="#94a3b8">ADOPTION SCALE</text> <text x="0" y="30" font-family="sans-serif" font-size="28" font-weight="800" fill="#38bdf8">14M+</text> <text x="0" y="50" font-family="sans-serif" font-size="11" fill="#94a3b8">Students served annually</text> </g> <!-- Decorative CC Logo --> <g transform="translate(800, 40)" opacity="0.4"> <circle cx="20" cy="20" r="18" fill="none" stroke="#f8fafc" stroke-width="2"/> <text x="20" y="26" font-family="sans-serif" font-size="18" font-weight="bold" fill="#f8fafc" text-anchor="middle">cc</text> </g> </svg>Introduction to OER and OpenStax image 1Introduction to OER and OpenStax - Introduction to OpenStax U.S. History and Historiography - image 1https://www.getlykke.com/explore/public/introduction-to-openstax-us-history-and-5044cf47-1710-4ee9-aba4-a04a9944b976/media/intro-to-oer-and-openstax/svg/1Introduction to OER and OpenStax diagram 1Introduction to OER and OpenStax - Introduction to OpenStax U.S. History and Historiography - diagram 1https://www.getlykke.com/explore/public/introduction-to-openstax-us-history-and-5044cf47-1710-4ee9-aba4-a04a9944b976/media/intro-to-oer-and-openstax/svg/2Introduction to OER and OpenStax diagram 2Introduction to OER and OpenStax - Introduction to OpenStax U.S. History and Historiography - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGold" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#f59e0b"/> <stop offset="100%" stop-color="#d97706"/> 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Masses</text> <text x="485" y="230" fill="#94a3b8" font-family="sans-serif" font-size="12">Workers, Enslaved People, Women, and Minorities.</text> <text x="485" y="270" fill="#f8fafc" font-family="sans-serif" font-weight="bold" font-size="14">"History from Below"</text> <text x="485" y="290" fill="#94a3b8" font-family="sans-serif" font-size="12">Macro-level changes are emergent properties of</text> <text x="485" y="305" fill="#94a3b8" font-family="sans-serif" font-size="12">aggregate micro-level social pressures.</text> <text x="485" y="345" fill="#f8fafc" font-family="sans-serif" font-weight="bold" font-size="14">Data Sources (Non-Traditional)</text> <g transform="translate(485, 360)"> <circle cx="5" cy="5" r="3" fill="#38bdf8"/> <text x="15" y="9" fill="#94a3b8" font-family="sans-serif" font-size="12">Oral Histories &amp; Folk Songs</text> <circle cx="5" cy="25" r="3" fill="#38bdf8"/> <text x="15" y="29" fill="#94a3b8" font-family="sans-serif" font-size="12">Parish Registers &amp; Census Rolls</text> <circle cx="5" cy="45" r="3" fill="#38bdf8"/> <text x="15" y="49" fill="#94a3b8" font-family="sans-serif" font-size="12">Material Culture &amp; Personal Diaries</text> </g> <rect x="485" y="430" width="350" height="35" rx="8" fill="#00000030"/> <text x="495" y="452" fill="#38bdf8" font-family="serif" font-style="italic" font-size="14">H(t) = ∫ f(aⱼ) dP</text> <text x="630" y="452" fill="#94a3b8" font-family="sans-serif" font-size="11">History = Integral of Individual Actions</text> <!-- Historiography Footer --> <rect x="40" y="500" width="820" height="40" rx="12" fill="#e879f910" stroke="#e879f930"/> <text x="450" y="525" text-anchor="middle" font-family="sans-serif" font-size="13"> <tspan fill="#e879f9" font-weight="bold">HISTORIOGRAPHY:</tspan> <tspan fill="#f8fafc"> The study of how history is written. It treats narratives as "constructed models" subject to revision.</tspan> </text> <!-- Central Lens Metaphor --> <circle cx="450" cy="300" r="40" fill="#0f172a" stroke="#e879f9" stroke-width="2" stroke-dasharray="4 2"/> <path d="M 435 290 Q 450 275 465 290 Q 450 305 435 290" fill="none" stroke="#f8fafc" stroke-width="1.5"/> <circle cx="450" cy="290" r="3" fill="#f8fafc"/> <text x="450" y="330" text-anchor="middle" fill="#e879f9" font-family="sans-serif" font-size="10" font-weight="bold">THE LENS</text> </svg>Historical Methodologies: Top-Down vs. Bottom-Up image 1Historical Methodologies: Top-Down vs. Bottom-Up - Introduction to OpenStax U.S. History and Historiography - image 1https://www.getlykke.com/explore/public/introduction-to-openstax-us-history-and-5044cf47-1710-4ee9-aba4-a04a9944b976/media/historical-methodologies/svg/1Historical Methodologies: Top-Down vs. Bottom-Up diagram 1Historical Methodologies: Top-Down vs. Bottom-Up - Introduction to OpenStax U.S. History and Historiography - diagram 1<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="450" y="55" text-anchor="middle" font-family="system-ui, sans-serif" font-size="32" font-weight="bold" fill="#f8fafc" letter-spacing="1">SOCIAL HISTORY</text> <text x="450" y="82" text-anchor="middle" font-family="system-ui, sans-serif" font-size="16" font-weight="500" fill="#38bdf8" letter-spacing="4">RACE • CLASS • GENDER</text> <line x1="350" y1="95" x2="550" y2="95" stroke="#334155" stroke-width="1"/> <!-- Left Column: The Shift --> <rect x="30" y="120" width="260" height="410" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="160" y="150" text-anchor="middle" font-family="system-ui, sans-serif" font-size="18" font-weight="bold" fill="#f59e0b">THE HISTORICAL SHIFT</text> <!-- Top-Down Section --> <g transform="translate(50, 175)"> <circle cx="25" cy="25" r="20" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1.5"/> <path d="M18 32 L25 18 L32 32 M20 28 L30 28" stroke="#f59e0b" fill="none" stroke-width="2"/> <text x="55" y="20" font-family="system-ui, sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">Top-Down</text> <text x="55" y="36" font-family="system-ui, sans-serif" font-size="11" fill="#94a3b8">Great Men &amp; State Power</text> </g> <path d="M160 250 L160 280" stroke="#334155" stroke-width="2" stroke-dasharray="4 4"/> <path d="M155 275 L160 285 L165 275" fill="none" stroke="#334155" stroke-width="2"/> <!-- Bottom-Up Section --> <g transform="translate(50, 300)"> <circle cx="25" cy="25" r="20" fill="#38bdf820" stroke="#38bdf8" stroke-width="1.5"/> <circle cx="20" cy="22" r="3" fill="#38bdf8"/> <circle cx="30" cy="22" r="3" fill="#38bdf8"/> <circle cx="25" cy="30" r="3" fill="#38bdf8"/> <text x="55" y="20" font-family="system-ui, sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">Bottom-Up</text> <text x="55" y="36" font-family="system-ui, sans-serif" font-size="11" fill="#94a3b8">The "Silent Majority"</text> </g> <text x="50" y="380" font-family="system-ui, sans-serif" font-size="12" fill="#94a3b8"> <tspan x="50" dy="1.4em">Focuses on lived experiences,</tspan> <tspan x="50" dy="1.4em">diaries, census data, and</tspan> <tspan x="50" dy="1.4em">the agency of the marginalized.</tspan> </text> <!-- Middle Column: The Triad --> <rect x="320" y="120" width="260" height="410" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="450" y="150" text-anchor="middle" font-family="system-ui, sans-serif" font-size="18" font-weight="bold" fill="#e879f9">THE ANALYTICAL TRIAD</text> <!-- Race --> <g transform="translate(340, 180)"> <rect width="220" height="65" rx="8" fill="#ffffff05"/> <circle cx="30" cy="32" r="15" fill="#f59e0b20"/> <path d="M25 25 Q30 32 35 25 Q30 40 25 32" stroke="#f59e0b" fill="none" stroke-width="1.5"/> <text x="60" y="28" font-family="system-ui, sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">RACE</text> <text x="60" y="45" font-family="system-ui, sans-serif" font-size="11" fill="#94a3b8">Social constructs &amp; 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renders</text> </g> <!-- Security Badge --> <rect x="330" y="390" width="240" height="100" rx="8" fill="#00000030"/> <path d="M350 415 L350 435 L365 445 L380 435 L380 415 Z" fill="#f59e0b" opacity="0.8"/> <text x="395" y="420" fill="#f8fafc" font-family="sans-serif" font-size="12" font-weight="700">Security-First Protocol</text> <text x="395" y="438" fill="#94a3b8" font-family="sans-serif" font-size="10">• OAuth2 / OpenID Connect</text> <text x="395" y="453" fill="#94a3b8" font-family="sans-serif" font-size="10">• Asymmetric PKI Keys</text> <text x="395" y="468" fill="#94a3b8" font-family="sans-serif" font-size="10">• Nonce Replay Protection</text> <!-- Right Column: OpenStax Assignable --> <rect x="610" y="110" width="250" height="410" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="630" y="145" fill="#e879f9" font-family="sans-serif" font-weight="700" font-size="18">ASSIGNABLE</text> <text x="630" y="165" fill="#94a3b8" font-family="sans-serif" font-size="12">The Integrated Experience</text> <!-- Features List --> <g transform="translate(630, 200)"> <rect width="210" height="45" rx="6" fill="#ffffff10"/> <circle cx="15" cy="22" r="4" fill="#e879f9"/> <text x="35" y="20" fill="#f8fafc" font-family="sans-serif" font-size="12" font-weight="600">Single Sign-On</text> <text x="35" y="34" fill="#94a3b8" font-family="sans-serif" font-size="10">No secondary accounts needed.</text> <rect y="60" width="210" height="45" rx="6" fill="#ffffff10"/> <circle cx="15" cy="82" r="4" fill="#e879f9"/> <text x="35" y="80" fill="#f8fafc" font-family="sans-serif" font-size="12" font-weight="600">Grade Passback</text> <text x="35" y="94" fill="#94a3b8" font-family="sans-serif" font-size="10">Scores sync to LMS gradebook.</text> <rect y="120" width="210" height="45" rx="6" fill="#ffffff10"/> <circle cx="15" cy="142" r="4" fill="#e879f9"/> <text x="35" y="140" fill="#f8fafc" font-family="sans-serif" font-size="12" font-weight="600">Deep Linking</text> <text x="35" y="154" fill="#94a3b8" font-family="sans-serif" font-size="10">Link to specific book sections.</text> </g> <!-- Bottom Comparison Bar --> <rect x="630" y="390" width="210" height="100" rx="8" fill="#e879f915" stroke="#e879f940"/> <text x="645" y="415" fill="#e879f9" font-family="sans-serif" font-size="11" font-weight="800">LTI 1.1 vs 1.3</text> <line x1="645" y1="425" x2="825" y2="425" stroke="#e879f940" stroke-width="1"/> <text x="645" y="445" fill="#94a3b8" font-family="sans-serif" font-size="10">1.1: Shared Secrets (Legacy)</text> <text x="645" y="465" fill="#f8fafc" font-family="sans-serif" font-size="10" font-weight="600">1.3: JWT &amp; 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Rousseau</text> <text x="85" y="336" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Popular Sovereignty &amp; General Will</text> <rect x="50" y="370" width="225" height="130" rx="8" fill="#00000030" stroke="#ffffff10"/> <text x="60" y="390" font-family="Courier New, monospace" font-size="11" fill="#4ade80">bool check_legitimacy() {</text> <text x="70" y="410" font-family="Courier New, monospace" font-size="11" fill="#94a3b8"> if (consent &amp;&amp; rights) </text> <text x="70" y="430" font-family="Courier New, monospace" font-size="11" fill="#4ade80"> return true;</text> <text x="70" y="450" font-family="Courier New, monospace" font-size="11" fill="#fb7185"> else revolt();</text> <text x="60" y="470" font-family="Courier New, monospace" font-size="11" fill="#4ade80">}</text> <!-- Column 2: Institutional Design --> <rect x="315" y="110" width="270" height="420" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="335" y="145" font-family="Arial, sans-serif" font-weight="700" font-size="18" fill="#38bdf8">SYSTEM UPGRADE</text> <text x="335" y="165" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">Articles (v1.0) to Constitution (v2.0)</text> <!-- Comparison Table --> <rect x="330" y="190" width="240" height="30" rx="4" fill="#ffffff05"/> <text x="340" y="210" font-family="Arial, sans-serif" font-weight="700" font-size="11" fill="#94a3b8">FEATURE</text> <text x="435" y="210" font-family="Arial, sans-serif" font-weight="700" font-size="11" fill="#fb7185">v1.0</text> <text x="510" y="210" font-family="Arial, sans-serif" font-weight="700" font-size="11" fill="#4ade80">v2.0</text> <text x="340" y="245" font-family="Arial, sans-serif" font-size="11" fill="#f8fafc">Sovereignty</text> <text x="435" y="245" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8">States</text> <text x="510" y="245" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8">People</text> <line x1="330" y1="255" x2="570" y2="255" stroke="#ffffff08"/> <text x="340" y="280" font-family="Arial, sans-serif" font-size="11" fill="#f8fafc">Executive</text> <text x="435" y="280" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8">None</text> <text x="510" y="280" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8">Strong</text> <line x1="330" y1="290" x2="570" y2="290" stroke="#ffffff08"/> <text x="340" y="315" font-family="Arial, sans-serif" font-size="11" fill="#f8fafc">Taxation</text> <text x="435" y="315" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8">Voluntary</text> <text x="510" y="315" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8">Federal</text> <line x1="330" y1="325" x2="570" y2="325" stroke="#ffffff08"/> <text x="340" y="350" font-family="Arial, sans-serif" font-size="11" fill="#f8fafc">Amendment</text> <text x="435" y="350" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8">Unanimous</text> <text x="510" y="350" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8">2/3 + 3/4</text> <!-- Visual Metaphor --> <circle cx="450" cy="440" r="40" fill="none" stroke="#334155" stroke-dasharray="4 4"/> <path d="M430 440 L470 440 M450 420 L450 460" stroke="#38bdf8" stroke-width="2"/> <text x="450" y="500" text-anchor="middle" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#f8fafc">The Great Compromise</text> <text x="450" y="515" text-anchor="middle" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8">Bicameral Balance of Power</text> <!-- Column 3: Core Mechanisms --> <rect x="605" y="110" width="265" height="420" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="625" y="145" font-family="Arial, sans-serif" font-weight="700" font-size="18" fill="#e879f9">CORE MECHANISMS</text> <text x="625" y="165" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">Concurrency &amp; Distribution</text> <!-- Separation of Powers --> <g transform="translate(625, 190)"> <path d="M60 0 L120 100 L0 100 Z" fill="#ffffff05" stroke="#e879f9" stroke-width="1"/> <circle cx="60" cy="0" r="12" fill="#1e1b4b" stroke="#e879f9"/> <text x="60" y="4" text-anchor="middle" font-family="Arial, sans-serif" font-size="9" fill="#f8fafc">EXEC</text> <circle cx="0" cy="100" r="12" fill="#1e1b4b" stroke="#e879f9"/> <text x="0" y="104" text-anchor="middle" font-family="Arial, sans-serif" font-size="9" fill="#f8fafc">LEG</text> <circle cx="120" cy="100" r="12" fill="#1e1b4b" stroke="#e879f9"/> <text x="120" y="104" text-anchor="middle" font-family="Arial, sans-serif" font-size="9" fill="#f8fafc">JUD</text> <text x="60" y="130" text-anchor="middle" font-family="Arial, sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">Separation of Powers</text> <text x="60" y="145" text-anchor="middle" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Checks &amp; Balances</text> </g> <!-- Federalism --> <g transform="translate(625, 370)"> <circle cx="60" cy="40" r="25" fill="#38bdf820" stroke="#38bdf8" stroke-width="1"/> <text x="60" y="44" text-anchor="middle" font-family="Arial, sans-serif" font-size="10" font-weight="bold" fill="#f8fafc">FEDERAL</text> <circle cx="15" cy="10" r="8" fill="#ffffff10" stroke="#94a3b8"/> <circle cx="105" cy="10" r="8" fill="#ffffff10" stroke="#94a3b8"/> <circle cx="15" cy="70" r="8" fill="#ffffff10" stroke="#94a3b8"/> <circle cx="105" cy="70" r="8" fill="#ffffff10" stroke="#94a3b8"/> <line x1="60" y1="15" x2="60" y2="0" stroke="#334155"/> <path d="M40 20 L20 10 M80 20 L100 10 M40 60 L20 70 M80 60 L100 70" stroke="#334155" stroke-width="1"/> <text x="60" y="100" text-anchor="middle" font-family="Arial, sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">Federalism</text> <text x="60" y="115" text-anchor="middle" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Distributed Power Model</text> </g> <!-- Footer --> <text x="870" y="545" text-anchor="end" font-family="Arial, sans-serif" font-size="9" fill="#334155">SYSTEM_DOC_REV_2.0.4 // ARTICLE_I_II_III</text> </svg>Foundations of American Government image 1Foundations of American Government - American Government 3e - image 1https://www.getlykke.com/explore/public/american-government-3e-5217bcd2-6699-49fb-9d63-95ce39ca4bab/media/foundations-of-government/svg/1Foundations of American Government diagram 1Foundations of American Government - American Government 3e - diagram 1https://www.getlykke.com/explore/public/american-government-3e-5217bcd2-6699-49fb-9d63-95ce39ca4bab/media/foundations-of-government/svg/2Foundations of American Government diagram 2Foundations of American Government - American Government 3e - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10" /> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Header Section --> <text x="450" y="50" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-weight="800" font-size="32" letter-spacing="1">CIVIL LIBERTIES &amp; CIVIL RIGHTS</text> <text x="450" y="75" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="14" font-weight="400">The Constitutional Architecture of American Democracy</text> <line x1="300" y1="90" x2="600" y2="90" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 4" opacity="0.5"/> <!-- Left Card: Civil Liberties --> <rect x="40" y="110" width="400" height="240" rx="16" fill="#ffffff08" stroke="#38bdf833" stroke-width="1"/> <path d="M70 140 L70 165 L95 175 L120 165 L120 140 Z" fill="none" stroke="#38bdf8" stroke-width="3" filter="url(#glow)"/> <text x="135" y="155" fill="#38bdf8" font-family="sans-serif" font-weight="700" font-size="20">CIVIL LIBERTIES</text> <text x="135" y="172" fill="#94a3b8" font-family="sans-serif" font-size="12">"Negative Liberty" — Freedom FROM Government</text> <text x="70" y="210" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="14">The Constitutional Shield</text> <text x="70" y="230" fill="#cbd5e1" font-family="sans-serif" font-size="12" width="340"> <tspan x="70" dy="0">Protections codified in the Bill of Rights that prevent</tspan> <tspan x="70" dy="18">government overreach into individual autonomy.</tspan> </text> <rect x="70" y="265" width="340" height="60" rx="8" fill="#38bdf810"/> <text x="85" y="285" fill="#38bdf8" font-family="sans-serif" font-weight="700" font-size="11">SELECTIVE INCORPORATION</text> <text x="85" y="302" fill="#cbd5e1" font-family="sans-serif" font-size="11"> <tspan x="85" dy="0">The 14th Amendment's Due Process Clause applies</tspan> <tspan x="85" dy="14">Bill of Rights protections to state governments.</tspan> </text> <!-- Right Card: Civil Rights --> <rect x="460" y="110" width="400" height="240" rx="16" fill="#ffffff08" stroke="#f59e0b33" stroke-width="1"/> <circle cx="495" cy="155" r="15" fill="none" stroke="#f59e0b" stroke-width="3" filter="url(#glow)"/> <line x1="480" y1="155" x2="510" y2="155" stroke="#f59e0b" stroke-width="2"/> <text x="525" y="155" fill="#f59e0b" font-family="sans-serif" font-weight="700" font-size="20">CIVIL RIGHTS</text> <text x="525" y="172" fill="#94a3b8" font-family="sans-serif" font-size="12">"Positive Liberty" — Guarantees OF Equality</text> <text x="490" y="210" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="14">The Mandate for Equality</text> <text x="490" y="230" fill="#cbd5e1" font-family="sans-serif" font-size="12"> <tspan x="490" dy="0">Legal actions and protections provided by the state</tspan> <tspan x="490" dy="18">to ensure individuals are treated without discrimination.</tspan> </text> <rect x="490" y="265" width="340" height="60" rx="8" fill="#f59e0b10"/> <text x="505" y="285" fill="#f59e0b" font-family="sans-serif" font-weight="700" font-size="11">EQUAL PROTECTION CLAUSE</text> <text x="505" y="302" fill="#cbd5e1" font-family="sans-serif" font-size="11"> <tspan x="505" dy="0">Prohibits states from denying any person within their</tspan> <tspan x="505" dy="14">jurisdiction the equal protection of the laws.</tspan> </text> <!-- Bottom Section: Judicial Scrutiny --> <rect x="40" y="370" width="820" height="160" rx="16" fill="#ffffff05" stroke="#e879f933" stroke-width="1"/> <text x="60" y="400" fill="#e879f9" font-family="sans-serif" font-weight="700" font-size="18">THE JUDICIAL SCRUTINY FRAMEWORK</text> <text x="360" y="400" fill="#94a3b8" font-family="sans-serif" font-size="12">How the Supreme Court balances individual rights vs. state interests</text> <!-- Scrutiny Tiers --> <g transform="translate(60, 425)"> <!-- Strict --> <rect width="250" height="85" rx="8" fill="#ffffff08"/> <text x="15" y="25" fill="#f8fafc" font-family="sans-serif" font-weight="700" font-size="13">STRICT SCRUTINY</text> <text x="15" y="45" fill="#94a3b8" font-family="sans-serif" font-size="11">Application: Race, Fundamental Rights</text> <text x="15" y="65" fill="#e879f9" font-family="sans-serif" font-weight="600" font-size="11">Compelling State Interest</text> <!-- Intermediate --> <rect x="270" width="250" height="85" rx="8" fill="#ffffff08"/> <text x="285" y="25" fill="#f8fafc" font-family="sans-serif" font-weight="700" font-size="13">INTERMEDIATE SCRUTINY</text> <text x="285" y="45" fill="#94a3b8" font-family="sans-serif" font-size="11">Application: Gender, Commercial Speech</text> <text x="285" y="65" fill="#e879f9" font-family="sans-serif" font-weight="600" font-size="11">Important Gov. 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Interest</text> </g> <!-- Decorative Elements --> <circle cx="850" cy="50" r="40" fill="#38bdf8" opacity="0.05"/> <circle cx="50" cy="510" r="30" fill="#f59e0b" opacity="0.05"/> <path d="M860 370 L880 370 L880 530 L860 530" fill="none" stroke="#ffffff10" stroke-width="2"/> <!-- Footer Info --> <text x="860" y="545" text-anchor="end" fill="#475569" font-family="sans-serif" font-size="10" font-style="italic">Educational Wiki: Section 4.2 — Political Theory &amp; Law</text> </svg>Civil Liberties, Rights, and Political Participation image 1Civil Liberties, Rights, and Political Participation - American Government 3e - image 1https://www.getlykke.com/explore/public/american-government-3e-5217bcd2-6699-49fb-9d63-95ce39ca4bab/media/participation-and-rights/svg/1Civil Liberties, Rights, and Political Participation diagram 1Civil Liberties, Rights, and Political Participation - American Government 3e - diagram 1https://www.getlykke.com/explore/public/american-government-3e-5217bcd2-6699-49fb-9d63-95ce39ca4bab/media/institutions-of-power/svg/1The Institutions of Government diagram 1The Institutions of Government - American Government 3e - diagram 1https://www.getlykke.com/explore/public/american-government-3e-5217bcd2-6699-49fb-9d63-95ce39ca4bab/media/institutions-of-power/svg/2The Institutions of Government diagram 2The Institutions of Government - American Government 3e - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <!-- Background and Definitions --> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <filter id="glow" x="-20%" y="-20%" width="140%" height="140%"> <feGaussianBlur stdDeviation="3" result="blur" /> <feComposite in="SourceGraphic" in2="blur" operator="over" /> </filter> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> </defs> <!-- Base Layer --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="450" y="50" text-anchor="middle" font-family="Arial, sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">PUBLIC POLICY &amp; CIVIC ENGAGEMENT</text> <text x="450" y="75" text-anchor="middle" font-family="Arial, sans-serif" font-size="14" fill="#94a3b8" letter-spacing="2">THE DYNAMIC LIFECYCLE OF GOVERNMENTAL ACTION</text> <line x1="350" y1="90" x2="550" y2="90" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 4"/> <!-- Central Policy Cycle Illustration --> <g transform="translate(450, 280)"> <!-- Connecting Circular Path --> <circle cx="0" cy="0" r="140" fill="none" stroke="#ffffff10" stroke-width="40"/> <path d="M 0,-140 A 140,140 0 0,1 133,43" fill="none" stroke="#38bdf8" stroke-width="4" stroke-dasharray="8 4"/> <path d="M 133,43 A 140,140 0 0,1 -82,113" fill="none" stroke="#e879f9" stroke-width="4" stroke-dasharray="8 4"/> <path d="M -82,113 A 140,140 0 0,1 -82,-113" fill="none" stroke="#f59e0b" stroke-width="4" stroke-dasharray="8 4"/> <!-- Stage 1: Agenda Setting --> <g transform="translate(0, -140)"> <circle r="35" fill="#0f172a" stroke="#38bdf8" stroke-width="3"/> <path d="M-10,-5 L10,-5 M-10,5 L10,5 M-10,0 L5,0" stroke="#38bdf8" stroke-width="2" fill="none"/> <text y="-45" text-anchor="middle" font-family="Arial, sans-serif" font-weight="bold" font-size="16" fill="#38bdf8">1. AGENDA SETTING</text> <text y="5" text-anchor="middle" font-family="Arial, sans-serif" font-size="10" fill="#f8fafc">PROBLEM ID</text> </g> <!-- Stage 2: Formulation --> <g transform="translate(133, -43)"> <circle r="35" fill="#0f172a" stroke="#e879f9" stroke-width="3"/> <rect x="-8" y="-10" width="16" height="20" stroke="#e879f9" fill="none" stroke-width="2"/> <text x="45" y="-10" text-anchor="start" font-family="Arial, sans-serif" font-weight="bold" font-size="16" fill="#e879f9">2. FORMULATION</text> <text x="45" y="8" text-anchor="start" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8">DRAFTING &amp; ANALYSIS</text> </g> <!-- Stage 3: Adoption --> <g transform="translate(82, 113)"> <circle r="35" fill="#0f172a" stroke="#f59e0b" stroke-width="3"/> <path d="M-10,5 L10,5 L0,-12 Z" fill="#f59e0b"/> <text x="45" y="5" text-anchor="start" font-family="Arial, sans-serif" font-weight="bold" font-size="16" fill="#f59e0b">3. ADOPTION</text> <text x="45" y="23" text-anchor="start" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8">LEGAL AUTHORITY</text> </g> <!-- Stage 4: Implementation --> <g transform="translate(-82, 113)"> <circle r="35" fill="#0f172a" stroke="#10b981" stroke-width="3"/> <circle cx="0" cy="0" r="8" stroke="#10b981" fill="none" stroke-width="2"/> <path d="M0,-12 V-8 M0,8 V12 M-12,0 H-8 M8,0 H12" stroke="#10b981" stroke-width="2"/> <text x="-45" y="5" text-anchor="end" font-family="Arial, sans-serif" font-weight="bold" font-size="16" fill="#10b981">4. IMPLEMENTATION</text> <text x="-45" y="23" text-anchor="end" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8">BUREAUCRATIC ACTION</text> </g> <!-- Stage 5: Evaluation --> <g transform="translate(-133, -43)"> <circle r="35" fill="#0f172a" stroke="#6366f1" stroke-width="3"/> <circle cx="-3" cy="-3" r="7" stroke="#6366f1" fill="none" stroke-width="2"/> <line x1="3" y1="3" x2="10" y2="10" stroke="#6366f1" stroke-width="3"/> <text x="-45" y="-10" text-anchor="end" font-family="Arial, sans-serif" font-weight="bold" font-size="16" fill="#6366f1">5. 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IV — PUBLIC SECTOR MECHANICS</text> </svg>Public Policy and Civic Engagement image 1Public Policy and Civic Engagement - American Government 3e - image 1https://www.getlykke.com/explore/public/american-government-3e-5217bcd2-6699-49fb-9d63-95ce39ca4bab/media/policy-and-engagement/svg/1Public Policy and Civic Engagement diagram 1Public Policy and Civic Engagement - American Government 3e - diagram 1https://www.getlykke.com/explore/public/14-01-principles-of-microeconomics-fall-c9db27b0-c48b-44cd-b5ce-76fe7a34729f2026-04-20T04:45:29.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="3" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="450" y="55" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">MARKET DYNAMICS</text> <text x="450" y="82" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="400" fill="#94a3b8" text-transform="uppercase" letter-spacing="3">Supply, Demand, and Equilibrium</text> <rect x="400" y="95" width="100" height="3" rx="1.5" fill="#f59e0b"/> <!-- Left Card: Demand --> <rect x="30" y="120" width="260" height="410" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="50" y="155" font-family="sans-serif" font-weight="700" font-size="20" fill="#e879f9">THE LAW OF DEMAND</text> <text x="50" y="175" font-family="sans-serif" font-size="12" fill="#94a3b8">Consumer Behavior &amp; Utility</text> <!-- Demand Icon --> <circle cx="250" cy="155" r="15" fill="#e879f922"/> <path d="M 242 155 L 258 155 M 258 155 L 252 149 M 258 155 L 252 161" fill="none" stroke="#e879f9" stroke-width="2" transform="rotate(135 250 155)"/> <text x="50" y="210" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Inverse Relationship</text> <text x="50" y="228" font-family="sans-serif" font-size="12" fill="#94a3b8">As Price (P) ↑, Quantity Demanded (Qd) ↓</text> <rect x="50" y="250" width="220" height="1" fill="#ffffff15"/> <text x="50" y="275" font-family="sans-serif" font-weight="600" font-size="13" fill="#f8fafc">Primary Drivers:</text> <circle cx="55" cy="295" r="3" fill="#e879f9"/> <text x="65" y="299" font-family="sans-serif" font-size="12" fill="#cbd5e1">Substitution Effect</text> <circle cx="55" cy="315" r="3" fill="#e879f9"/> <text x="65" y="319" font-family="sans-serif" font-size="12" fill="#cbd5e1">Income Effect</text> 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font-family="sans-serif" font-size="12" fill="#cbd5e1">Profit Maximization</text> <text x="630" y="360" font-family="sans-serif" font-weight="600" font-size="13" fill="#f8fafc">Shift Factors (Determinants):</text> <g transform="translate(630, 375)"> <rect width="220" height="110" rx="8" fill="#00000020"/> <text x="10" y="20" font-family="sans-serif" font-size="11" fill="#94a3b8">• Input Prices (Labor, Materials)</text> <text x="10" y="40" font-family="sans-serif" font-size="11" fill="#94a3b8">• Technological Advances</text> <text x="10" y="60" font-family="sans-serif" font-size="11" fill="#94a3b8">• Government Taxes/Subsidies</text> <text x="10" y="80" font-family="sans-serif" font-size="11" fill="#94a3b8">• Number of Sellers</text> <text x="10" y="100" font-family="sans-serif" font-size="11" fill="#94a3b8">• Producer Expectations</text> </g> <!-- Center: Equilibrium Visual --> <g transform="translate(310, 120)"> <rect width="280" height="410" rx="16" fill="#ffffff05"/> <!-- Graph --> <g transform="translate(40, 60)"> <!-- Axes --> <path d="M 0 0 L 0 200 L 200 200" fill="none" stroke="#94a3b8" stroke-width="2"/> <text x="-10" y="100" font-family="sans-serif" font-size="12" fill="#94a3b8" transform="rotate(-90 -10 100)" text-anchor="middle">Price (P)</text> <text x="100" y="220" font-family="sans-serif" font-size="12" fill="#94a3b8" text-anchor="middle">Quantity (Q)</text> <!-- Demand Curve --> <line x1="20" y1="20" x2="180" y2="180" stroke="#e879f9" stroke-width="4" stroke-linecap="round"/> <text x="185" y="185" font-family="sans-serif" font-weight="bold" font-size="14" fill="#e879f9">D</text> <!-- Supply Curve --> <line x1="20" y1="180" x2="180" y2="20" stroke="#38bdf8" stroke-width="4" stroke-linecap="round"/> <text x="185" y="25" font-family="sans-serif" font-weight="bold" font-size="14" fill="#38bdf8">S</text> <!-- Equilibrium Point --> <line x1="100" y1="100" x2="0" y2="100" stroke="#f59e0b" stroke-width="1" stroke-dasharray="4"/> <line x1="100" y1="100" x2="100" y2="200" stroke="#f59e0b" stroke-width="1" stroke-dasharray="4"/> <circle cx="100" cy="100" r="6" fill="#f59e0b" filter="url(#glow)"/> <text x="110" y="90" font-family="sans-serif" font-weight="bold" font-size="12" fill="#f59e0b">E (P*, Q*)</text> </g> <!-- Equilibrium Text --> <text x="140" y="300" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">MARKET EQUILIBRIUM</text> <text x="140" y="325" text-anchor="middle" font-family="sans-serif" font-size="13" fill="#cbd5e1">The state where Qd = Qs</text> <g transform="translate(30, 345)"> <rect width="220" height="50" rx="8" fill="#f59e0b15" stroke="#f59e0b33"/> <text x="110" y="20" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#f8fafc" font-style="italic">"The market clears, leaving no"</text> <text x="110" y="36" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#f8fafc" font-style="italic">surplus or shortage."</text> </g> </g> <!-- Footer Info --> <text x="450" y="550" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#475569">ECONOMICS 101: VISUAL GUIDE TO MICROECONOMIC FOUNDATIONS</text> </svg>Supply, Demand, and Market Equilibrium image 1Supply, Demand, and Market Equilibrium - 14 01 Principles Of Microeconomics Fall 2018 - image 1https://www.getlykke.com/explore/public/14-01-principles-of-microeconomics-fall-c9db27b0-c48b-44cd-b5ce-76fe7a34729f/media/supply-demand-equilibrium/svg/1Supply, Demand, and Market Equilibrium diagram 1Supply, Demand, and Market Equilibrium - 14 01 Principles Of Microeconomics Fall 2018 - diagram 1https://www.getlykke.com/explore/public/14-01-principles-of-microeconomics-fall-c9db27b0-c48b-44cd-b5ce-76fe7a34729f/media/supply-demand-equilibrium/svg/2Supply, Demand, and Market Equilibrium diagram 2Supply, Demand, and Market Equilibrium - 14 01 Principles Of Microeconomics Fall 2018 - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="450" y="60" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="32" font-weight="bold" letter-spacing="1">MICROECONOMICS: THE DUALITY OF CHOICE</text> <rect x="350" y="75" width="200" height="4" fill="url(#accentGrad)" rx="2"/> <text x="450" y="100" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="14" font-weight="300" text-transform="uppercase">The Study of Constrained Optimization</text> <!-- Central Bridge Logic --> <path d="M 450 140 L 450 480" stroke="#ffffff15" stroke-width="2" stroke-dasharray="8 4"/> <circle cx="450" cy="310" r="50" fill="#1e1b4b" stroke="#e879f9" stroke-width="2" filter="url(#glow)"/> <text x="450" y="305" text-anchor="middle" fill="#f8fafc" font-family="serif" font-size="24" font-style="italic">max</text> <text x="450" y="325" text-anchor="middle" fill="#e879f9" font-family="sans-serif" font-size="12" font-weight="bold">OPTIMUM</text> <!-- Left Panel: Consumer Theory --> <rect x="40" y="130" width="380" height="380" rx="16" fill="#ffffff08" stroke="#38bdf833" stroke-width="1"/> <rect x="60" y="150" width="40" height="40" rx="8" fill="#38bdf822"/> <path d="M 70 175 L 75 180 L 90 165" fill="none" stroke="#38bdf8" stroke-width="3" stroke-linecap="round"/> <text x="110" y="175" fill="#38bdf8" font-family="sans-serif" font-size="20" font-weight="bold">Consumer Theory</text> <text x="60" y="210" fill="#94a3b8" font-family="sans-serif" font-size="13">Goal: Maximize Utility (Satisfaction)</text> <!-- Consumer Graph --> <g transform="translate(80, 240)"> <path d="M 0 0 L 0 120 L 150 120" fill="none" stroke="#94a3b8" stroke-width="2"/> <!-- Indifference Curves --> <path d="M 20 20 Q 30 90 130 100" fill="none" stroke="#e879f9" stroke-width="2" opacity="0.4"/> <path d="M 40 40 Q 50 110 150 120" fill="none" stroke="#e879f9" stroke-width="3" filter="url(#glow)"/> <!-- Budget Line --> <line x1="0" y1="40" x2="120" y2="120" stroke="#f59e0b" stroke-width="3"/> <!-- Tangency Point --> <circle cx="60" cy="80" r="4" fill="#f8fafc"/> <text x="160" y="125" fill="#94a3b8" font-family="sans-serif" font-size="10">Goods (X)</text> <text x="-10" y="-10" fill="#94a3b8" font-family="sans-serif" font-size="10">Goods (Y)</text> </g> <g transform="translate(60, 400)"> <rect width="340" height="90" rx="8" fill="#00000033"/> <text x="15" y="25" fill="#f8fafc" font-family="monospace" font-size="14">U = f(x1, x2, ..., xn)</text> <text x="15" y="50" fill="#94a3b8" font-family="sans-serif" font-size="12">Constraint: Px·X + Py·Y ≤ Income</text> <text x="15" y="75" fill="#38bdf8" font-family="sans-serif" font-size="12" font-weight="bold">Equimarginal: MUx/Px = MUy/Py</text> </g> <!-- Right Panel: Firm Behavior --> <rect x="480" y="130" width="380" height="380" rx="16" fill="#ffffff08" stroke="#f59e0b33" stroke-width="1"/> <rect x="500" y="150" width="40" height="40" rx="8" fill="#f59e0b22"/> <path d="M 510 180 L 510 165 L 520 172 L 530 165 L 530 180 Z" fill="#f59e0b"/> <text x="550" y="175" fill="#f59e0b" font-family="sans-serif" font-size="20" font-weight="bold">Firm Behavior</text> <text x="500" y="210" fill="#94a3b8" font-family="sans-serif" font-size="13">Goal: Maximize Economic Profit (π)</text> <!-- Firm Graph --> <g transform="translate(520, 240)"> <path d="M 0 0 L 0 120 L 150 120" fill="none" stroke="#94a3b8" stroke-width="2"/> <!-- Production Function --> <path d="M 0 120 Q 40 20 140 10" fill="none" stroke="#38bdf8" stroke-width="3" filter="url(#glow)"/> <!-- Cost Line --> <line x1="20" y1="120" x2="140" y2="40" stroke="#e879f9" stroke-width="2" stroke-dasharray="4"/> <text x="160" y="125" fill="#94a3b8" font-family="sans-serif" font-size="10">Inputs (L, K)</text> <text x="-10" y="-10" fill="#94a3b8" font-family="sans-serif" font-size="10">Output (Q)</text> </g> <g transform="translate(500, 400)"> <rect width="340" height="90" rx="8" fill="#00000033"/> <text x="15" y="25" fill="#f8fafc" font-family="monospace" font-size="14">π = Total Revenue - Total Cost</text> <text x="15" y="50" fill="#94a3b8" font-family="sans-serif" font-size="12">Constraint: Q = f(Labor, Capital)</text> <text x="15" y="75" fill="#f59e0b" font-family="sans-serif" font-size="12" font-weight="bold">Condition: MR = MC</text> </g> <!-- Interaction Labels --> <g transform="translate(380, 525)"> <text x="70" y="0" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="11" font-style="italic">Rationality &amp; Consistency form the foundation of both actors.</text> </g> <!-- Decorative Accents --> <circle cx="40" cy="40" r="20" fill="#38bdf8" opacity="0.1"/> <circle cx="860" cy="520" r="30" fill="#e879f9" opacity="0.1"/> <path d="M 850 50 L 880 80" stroke="#f59e0b" stroke-width="2" opacity="0.3"/> <path d="M 860 40 L 890 70" stroke="#f59e0b" stroke-width="2" opacity="0.3"/> </svg>Consumer Theory and Firm Behavior image 1Consumer Theory and Firm Behavior - 14 01 Principles Of Microeconomics Fall 2018 - image 1https://www.getlykke.com/explore/public/14-01-principles-of-microeconomics-fall-c9db27b0-c48b-44cd-b5ce-76fe7a34729f/media/consumer-and-producer-theory/svg/1Consumer Theory and Firm Behavior diagram 1Consumer Theory and Firm Behavior - 14 01 Principles Of Microeconomics Fall 2018 - diagram 1https://www.getlykke.com/explore/public/14-01-principles-of-microeconomics-fall-c9db27b0-c48b-44cd-b5ce-76fe7a34729f/media/consumer-and-producer-theory/svg/2Consumer Theory and Firm Behavior diagram 2Consumer Theory and Firm Behavior - 14 01 Principles Of Microeconomics Fall 2018 - diagram 2https://www.getlykke.com/explore/public/14-01-principles-of-microeconomics-fall-c9db27b0-c48b-44cd-b5ce-76fe7a34729f/media/market-structures/svg/1Market Structures and Competition diagram 1Market Structures and Competition - 14 01 Principles Of Microeconomics Fall 2018 - diagram 1https://www.getlykke.com/explore/public/14-01-principles-of-microeconomics-fall-c9db27b0-c48b-44cd-b5ce-76fe7a34729f/media/market-structures/svg/2Market Structures and Competition diagram 2Market Structures and Competition - 14 01 Principles Of Microeconomics Fall 2018 - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" 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Allocation)</text> <!-- Bottom Section: Policy Tools --> <rect x="40" y="330" width="820" height="200" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="65" y="365" font-family="Inter, system-ui, sans-serif" font-weight="700" font-size="18" fill="#e879f9">Policy Interventions</text> <!-- Tool 1: Pigouvian Tax --> <g transform="translate(65, 390)"> <rect width="240" height="115" rx="12" fill="#e879f908" stroke="#e879f930"/> <text x="15" y="25" font-family="Inter, sans-serif" font-weight="700" font-size="14" fill="#fdf4ff">Pigouvian Taxes</text> <text x="15" y="45" font-family="Inter, sans-serif" font-size="11" fill="#94a3b8">Internalizing Externalities</text> <!-- Mini Graph --> <line x1="20" y1="100" x2="80" y2="100" stroke="#94a3b8" stroke-width="1"/> <line x1="20" y1="100" x2="20" y2="60" stroke="#94a3b8" stroke-width="1"/> <path d="M20 90 Q 50 85 80 65" fill="none" stroke="#e879f9" stroke-width="2"/> <text x="100" y="75" font-family="serif" font-style="italic" font-size="12" fill="#e879f9">t = MEC</text> <text x="100" y="95" font-family="Inter, sans-serif" font-size="11" fill="#94a3b8">Aligns MPC with MSC</text> </g> <!-- Tool 2: Public Provision --> <g transform="translate(330, 390)"> <rect width="240" height="115" rx="12" fill="#e879f908" stroke="#e879f930"/> <text x="15" y="25" font-family="Inter, sans-serif" font-weight="700" font-size="14" fill="#fdf4ff">Public Provision</text> <text x="15" y="45" font-family="Inter, sans-serif" font-size="11" fill="#94a3b8">Solving the Free-Rider Problem</text> <circle cx="40" cy="85" r="15" fill="#e879f9" fill-opacity="0.2" stroke="#e879f9" stroke-width="1"/> <circle cx="55" cy="85" r="15" fill="#e879f9" fill-opacity="0.2" stroke="#e879f9" stroke-width="1"/> <text x="85" y="80" font-family="Inter, sans-serif" font-size="11" fill="#f8fafc">Samuelson Condition:</text> <text x="85" y="95" font-family="serif" font-style="italic" font-size="12" fill="#e879f9">Σ MB = MC</text> </g> <!-- Tool 3: Regulation 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Educational Resources (OER)</text> <rect x="350" y="85" width="200" height="2" fill="url(#accentGrad)" rx="1"/> <!-- Left Column: The 5Rs Framework --> <rect x="30" y="110" width="265" height="360" rx="16" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <text x="50" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">The 5Rs of Openness</text> <text x="50" y="160" font-family="sans-serif" font-size="11" fill="#94a3b8">Defining the degrees of freedom</text> <g transform="translate(50, 185)"> <!-- R1 --> <circle cx="12" cy="12" r="12" fill="#38bdf820" stroke="#38bdf8" stroke-width="1.5"/> <text x="12" y="16" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="10" fill="#38bdf8">1</text> <text x="35" y="10" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">RETAIN</text> <text x="35" y="24" font-family="sans-serif" font-size="11" fill="#94a3b8">Own and control copies</text> <!-- R2 --> <g 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cy="12" r="12" fill="#38bdf820" stroke="#38bdf8" stroke-width="1.5"/> <text x="12" y="16" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="10" fill="#38bdf8">4</text> <text x="35" y="10" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">REMIX</text> <text x="35" y="24" font-family="sans-serif" font-size="11" fill="#94a3b8">Combine with other works</text> </g> <!-- R5 --> <g transform="translate(0, 180)"> <circle cx="12" cy="12" r="12" fill="#38bdf820" stroke="#38bdf8" stroke-width="1.5"/> <text x="12" y="16" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="10" fill="#38bdf8">5</text> <text x="35" y="10" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">REDISTRIBUTE</text> <text x="35" y="24" font-family="sans-serif" font-size="11" fill="#94a3b8">Share copies with others</text> </g> </g> <!-- Center Column: CC BY Architecture --> <rect x="315" y="110" width="270" height="360" rx="16" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <text x="450" y="140" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">The CC BY Architecture</text> <!-- Stacked Layers Graphic --> <g transform="translate(345, 170)"> <!-- Machine Layer --> <rect x="0" y="180" width="210" height="50" rx="8" fill="#e879f920" stroke="#e879f9" stroke-width="1.5"/> <text x="105" y="200" text-anchor="middle" font-family="monospace" font-size="12" font-weight="bold" fill="#e879f9">Machine-Readable</text> <text x="105" y="218" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">Metadata for Search Engines</text> <!-- Human Layer --> <rect x="0" y="90" width="210" height="50" rx="8" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1.5"/> <text x="105" y="110" text-anchor="middle" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f59e0b">Commons Deed</text> <text x="105" y="128" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">Human-Readable Summary</text> <!-- Legal Layer --> <rect x="0" y="0" width="210" height="50" rx="8" fill="#38bdf820" stroke="#38bdf8" stroke-width="1.5"/> <text x="105" y="20" text-anchor="middle" font-family="sans-serif" font-size="12" font-weight="bold" fill="#38bdf8">Legal Code</text> <text x="105" y="38" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">The Enforceable Contract</text> <!-- Connecting Arrows --> <path d="M 105 50 L 105 90 M 105 140 L 105 180" stroke="#ffffff20" stroke-width="2" stroke-dasharray="4 4"/> </g> <!-- Right Column: Peer Review Pipeline --> <rect x="605" y="110" width="265" height="360" rx="16" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <text x="625" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">Quality Assurance</text> <g transform="translate(625, 170)"> <!-- Pipeline Steps --> <rect x="0" y="0" width="225" height="40" rx="6" fill="#ffffff05" stroke="#ffffff10"/> <text x="10" y="25" font-family="sans-serif" font-size="12" fill="#f8fafc"><tspan font-weight="bold" fill="#e879f9">01</tspan> SME Scope &amp; Sequence</text> <rect x="0" y="55" width="225" height="40" rx="6" fill="#ffffff05" stroke="#ffffff10"/> <text x="10" y="80" font-family="sans-serif" font-size="12" fill="#f8fafc"><tspan font-weight="bold" fill="#e879f9">02</tspan> Expert Authoring</text> <rect x="0" y="110" width="225" height="40" rx="6" fill="#ffffff05" stroke="#ffffff10"/> <text x="10" y="135" font-family="sans-serif" font-size="12" fill="#f8fafc"><tspan font-weight="bold" fill="#e879f9">03</tspan> Double-Blind Peer Review</text> <rect x="0" y="165" width="225" height="40" rx="6" fill="#ffffff05" stroke="#ffffff10"/> <text x="10" y="190" font-family="sans-serif" font-size="12" fill="#f8fafc"><tspan font-weight="bold" fill="#e879f9">04</tspan> Editorial &amp; Accessibility</text> <rect x="0" y="220" width="225" height="40" rx="6" fill="#38bdf820" stroke="#38bdf840"/> <text x="10" y="245" font-family="sans-serif" font-size="12" fill="#f8fafc"><tspan font-weight="bold" fill="#38bdf8">05</tspan> Digital Ecosystem Release</text> <!-- Vertical Line --> <line x1="-10" y1="20" x2="-10" y2="240" stroke="#e879f940" stroke-width="2"/> <circle cx="-10" cy="20" r="3" fill="#e879f9"/> <circle cx="-10" cy="240" r="3" fill="#38bdf8"/> </g> <!-- Footer Insight --> <rect x="30" y="490" width="840" height="50" rx="12" fill="#38bdf810" stroke="#38bdf830"/> <text x="450" y="512" text-anchor="middle" font-family="sans-serif" font-size="13" fill="#f8fafc" font-weight="bold">Key Insight: OER vs. Free-to-Read</text> <text x="450" y="530" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#94a3b8">A PDF that is free to download but illegal to modify is not OER; it is merely a zero-cost proprietary asset.</text> <!-- Decorative Elements --> <circle cx="850" cy="50" r="40" fill="url(#accentGrad)" opacity="0.1"/> <path d="M 820 30 L 880 70 M 880 30 L 820 70" stroke="#ffffff10" stroke-width="1"/> </svg>Open Education and Accessibility image 1Open Education and Accessibility - Principles Microeconomics 3e - image 1https://www.getlykke.com/explore/public/principles-microeconomics-3e-9222e506-dd31-497c-af99-76a1f8aba8f0/media/open-education-accessibility/svg/1Open Education and Accessibility diagram 1Open Education and Accessibility - Principles Microeconomics 3e - diagram 1https://www.getlykke.com/explore/public/principles-microeconomics-3e-9222e506-dd31-497c-af99-76a1f8aba8f0/media/open-education-accessibility/svg/2Open Education and Accessibility diagram 2Open Education and Accessibility - Principles Microeconomics 3e - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <!-- Background and Definitions --> <defs> <linearGradient id="bgGradient" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="30" height="30" patternUnits="userSpaceOnUse"> <path d="M 30 0 L 0 0 0 30" fill="none" stroke="#ffffff05" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Base Layer --> <rect width="900" height="560" fill="url(#bgGradient)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Decorative Shapes --> <circle cx="850" cy="50" r="100" fill="#38bdf8" fill-opacity="0.05"/> <circle cx="50" cy="510" r="80" fill="#e879f9" fill-opacity="0.05"/> <!-- Header Section --> <text x="450" y="60" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-weight="800" font-size="32" letter-spacing="-0.5">PRINCIPLES OF MICROECONOMICS 3e</text> <text x="450" y="85" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-weight="500" font-size="14" letter-spacing="3">OPENSTAX • CC-BY • GLOBAL PEDAGOGY</text> <line x1="350" y1="100" x2="550" y2="100" stroke="#38bdf8" stroke-width="2" stroke-linecap="round"/> <!-- Main Content Grid --> <!-- Card 1: The Economic Problem --> <rect x="40" y="130" width="400" height="185" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <rect x="55" y="145" width="32" height="32" rx="8" fill="#f59e0b20"/> <path d="M 65 167 L 71 155 L 77 167 Z" fill="#f59e0b"/> <text x="100" y="167" fill="#f59e0b" font-family="sans-serif" font-weight="bold" font-size="18">The Economic Problem</text> <text x="60" y="200" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="14">Core Axiom: Scarcity</text> <text x="60" y="220" fill="#94a3b8" font-family="sans-serif" font-size="12">Human wants exceed available resources,</text> <text x="60" y="235" fill="#94a3b8" font-family="sans-serif" font-size="12">necessitating choice and trade-offs.</text> <rect x="60" y="255" width="360" height="45" rx="8" fill="#00000030"/> <text x="75" y="275" fill="#f8fafc" font-family="serif" font-style="italic" font-size="13">Opportunity Cost:</text> <text x="75" y="290" fill="#38bdf8" font-family="sans-serif" font-weight="bold" font-size="12">OCx = |Δy / Δx|</text> <text x="180" y="283" fill="#94a3b8" font-family="sans-serif" font-size="11">The value of the next best alternative.</text> <!-- Card 2: Production Possibilities --> <rect x="460" y="130" width="400" height="185" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="480" y="167" fill="#e879f9" font-family="sans-serif" font-weight="bold" font-size="18">The PPF Model</text> <!-- Mini PPF Graph --> <g transform="translate(720, 160)"> <line x1="0" y1="100" x2="100" y2="100" stroke="#94a3b8" stroke-width="1.5"/> <line x1="0" y1="100" x2="0" y2="0" stroke="#94a3b8" stroke-width="1.5"/> <path d="M 0 20 Q 80 25 90 100" fill="none" stroke="#e879f9" stroke-width="3" filter="url(#glow)"/> <circle cx="45" cy="45" r="4" fill="#f8fafc"/> <text x="55" y="45" fill="#f8fafc" font-family="sans-serif" font-size="10">Efficient</text> </g> <text x="480" y="200" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="13">Productive Efficiency</text> <text x="480" y="218" fill="#94a3b8" font-family="sans-serif" font-size="12">Points on the curve; no wasted resources.</text> <text x="480" y="245" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="13">Law of Diminishing Returns</text> <text x="480" y="263" fill="#94a3b8" font-family="sans-serif" font-size="12">Explains the "bowed-out" shape of the curve.</text> <!-- Card 3: Market Mechanics --> <rect x="40" y="335" width="400" height="195" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="370" fill="#38bdf8" font-family="sans-serif" font-weight="bold" font-size="18">Market Mechanics</text> <!-- Supply and Demand Graph --> <g transform="translate(280, 370)"> <line x1="0" y1="120" x2="120" y2="120" stroke="#94a3b8" stroke-width="1"/> <line x1="0" y1="120" x2="0" y2="0" stroke="#94a3b8" stroke-width="1"/> <!-- Demand --> <line x1="10" y1="20" x2="110" y2="110" stroke="#f59e0b" stroke-width="2.5"/> <text x="110" y="105" fill="#f59e0b" font-family="sans-serif" font-weight="bold" font-size="12">D</text> <!-- Supply --> <line x1="10" y1="110" x2="110" y2="20" stroke="#38bdf8" stroke-width="2.5"/> <text x="110" y="35" fill="#38bdf8" font-family="sans-serif" font-weight="bold" font-size="12">S</text> <!-- Equilibrium --> <circle cx="60" cy="65" r="4" fill="#f8fafc"/> </g> <text x="60" y="405" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="13">Equilibrium (Qd = Qs)</text> <text x="60" y="425" fill="#94a3b8" font-family="sans-serif" font-size="12">The price where buyer and seller</text> <text x="60" y="440" fill="#94a3b8" font-family="sans-serif" font-size="12">intentions coincide.</text> <rect x="60" y="465" width="180" height="45" rx="8" fill="#38bdf815"/> <text x="70" y="485" fill="#38bdf8" font-family="sans-serif" font-weight="bold" font-size="11">SHIFTS</text> <text x="70" y="500" fill="#94a3b8" font-family="sans-serif" font-size="10">Exogenous factors (Income, Tech)</text> <!-- Card 4: Elasticity --> <rect x="460" y="335" width="400" height="195" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="480" y="370" fill="#fb7185" font-family="sans-serif" font-weight="bold" font-size="18">Elasticity &amp; Responsiveness</text> <g transform="translate(480, 390)"> <rect width="360" height="35" rx="6" fill="#00000020"/> <text x="10" y="22" fill="#f8fafc" font-family="sans-serif" font-size="12">Midpoint Method: %ΔQ / %ΔP</text> </g> <g transform="translate(480, 440)"> <circle cx="10" cy="10" r="6" fill="#38bdf8"/> <text x="25" y="15" fill="#f8fafc" font-family="sans-serif" font-weight="bold" font-size="13">Elastic (|E| > 1)</text> <text x="25" y="30" fill="#94a3b8" font-family="sans-serif" font-size="11">High response to price changes.</text> <circle cx="10" cy="55" r="6" fill="#fb7185"/> <text x="25" y="60" fill="#f8fafc" font-family="sans-serif" font-weight="bold" font-size="13">Inelastic (|E| &lt; 1)</text> <text x="25" y="75" fill="#94a3b8" font-family="sans-serif" font-size="11">Low response (e.g., Necessities).</text> </g> <!-- Footer / Branding --> <text x="450" y="545" text-anchor="middle" fill="#475569" font-family="sans-serif" font-size="10">VISUAL GUIDE TO MICROECONOMIC FOUNDATIONS • DESIGNED FOR EDUCATIONAL WIKI</text> </svg>Principles of Microeconomics 3e image 1Principles of Microeconomics 3e - Principles Microeconomics 3e - image 1https://www.getlykke.com/explore/public/principles-microeconomics-3e-9222e506-dd31-497c-af99-76a1f8aba8f0/media/principles-of-microeconomics-3e/svg/1Principles of Microeconomics 3e diagram 1Principles of Microeconomics 3e - Principles Microeconomics 3e - diagram 1https://www.getlykke.com/explore/public/principles-microeconomics-3e-9222e506-dd31-497c-af99-76a1f8aba8f0/media/principles-of-microeconomics-3e/svg/2Principles of Microeconomics 3e diagram 2Principles of Microeconomics 3e - Principles Microeconomics 3e - diagram 2https://www.getlykke.com/explore/public/principles-microeconomics-3e-9222e506-dd31-497c-af99-76a1f8aba8f0/media/principles-of-microeconomics-3e/svg/3Principles of Microeconomics 3e diagram 3Principles of Microeconomics 3e - Principles Microeconomics 3e - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#94a3b8" fill-opacity="0.1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background and Grid --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <line x1="450" y1="120" x2="450" y2="520" stroke="#ffffff10" stroke-width="2" stroke-dasharray="8 4"/> <!-- Header --> <text x="40" y="50" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">DIVERSE ECONOMIC PERSPECTIVES</text> <text x="40" y="75" font-family="sans-serif" font-size="16" fill="#38bdf8" font-weight="600" letter-spacing="1">THE EVOLUTION OF PLURALISTIC MODELING</text> <rect x="40" y="85" width="120" height="4" fill="#f59e0b" rx="2"/> <!-- Left Side: The Monolithic Model --> <rect x="40" y="120" width="380" height="180" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="60" y="150" font-family="sans-serif" font-weight="700" font-size="18" fill="#94a3b8">THE NEOCLASSICAL SYNTHESIS</text> <circle cx="85" cy="210" r="35" fill="#1e293b" stroke="#64748b" stroke-width="2"/> <path d="M75 200 L95 200 M75 210 L95 210 M75 220 L95 220" stroke="#64748b" stroke-width="2" stroke-linecap="round"/> <text x="135" y="195" font-family="sans-serif" font-weight="700" font-size="20" fill="#f8fafc">Homo Economicus</text> <text x="135" y="215" font-family="sans-serif" font-size="13" fill="#94a3b8">Perfectly Rational • Self-Interested</text> <text x="135" y="232" font-family="sans-serif" font-size="13" fill="#94a3b8">Frictionless Markets • Representative Agent</text> <!-- Center: The Identity Shift --> <rect x="40" y="320" width="380" height="200" rx="16" fill="#38bdf810" stroke="#38bdf840"/> <text x="60" y="350" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">IDENTITY UTILITY FUNCTION</text> <text x="80" y="405" font-family="serif" font-size="36" fill="#f8fafc" font-style="italic">U<tspan baseline-shift="sub" font-size="20">j</tspan> = f<tspan baseline-shift="sub" font-size="20">j</tspan>(x<tspan baseline-shift="sub" font-size="20">j</tspan>, a<tspan baseline-shift="sub" font-size="20">j</tspan>, I<tspan baseline-shift="sub" font-size="20">j</tspan>)</text> <g font-family="sans-serif" font-size="12" fill="#94a3b8"> <text x="80" y="445"><tspan fill="#f59e0b" font-weight="bold">x</tspan> : Consumption</text> <text x="80" y="465"><tspan fill="#e879f9" font-weight="bold">a</tspan> : Actions &amp; Norms</text> <text x="80" y="485"><tspan fill="#38bdf8" font-weight="bold">I</tspan> : Identity Self-Image</text> </g> <!-- Right Side: The Pluralistic Pillars --> <text x="480" y="150" font-family="sans-serif" font-weight="700" font-size="18" fill="#f8fafc">THE FIVE PILLARS OF INCLUSION</text> <!-- Pillar 1: Behavioral --> <rect x="480" y="170" width="380" height="60" rx="12" fill="#f59e0b15" stroke="#f59e0b30"/> <circle cx="510" cy="200" r="15" fill="#f59e0b"/> <path d="M505 200 Q510 190 515 200 T510 210" fill="none" stroke="#0f172a" stroke-width="2"/> <text x="540" y="195" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">Behavioral Economics</text> <text x="540" y="212" font-family="sans-serif" font-size="12" fill="#94a3b8">Cognitive biases and "satisficing" heuristics.</text> <!-- Pillar 2: Feminist --> <rect x="480" y="240" width="380" height="60" rx="12" fill="#e879f915" stroke="#e879f930"/> <circle cx="510" cy="270" r="15" fill="#e879f9"/> <path d="M502 270 L518 270 M510 262 L510 278" stroke="#0f172a" stroke-width="2"/> <text x="540" y="265" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">Feminist Economics</text> <text x="540" y="282" font-family="sans-serif" font-size="12" fill="#94a3b8">Unpaid labor, care work, and power dynamics.</text> <!-- Pillar 3: Ecological --> <rect x="480" y="310" width="380" height="60" rx="12" fill="#4ade8015" stroke="#4ade8030"/> <circle cx="510" cy="340" r="15" fill="#4ade80"/> <path d="M505 345 L510 335 L515 345 Z" fill="#0f172a"/> <text x="540" y="335" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">Ecological Economics</text> <text x="540" y="352" font-family="sans-serif" font-size="12" fill="#94a3b8">Sustainability within finite planetary boundaries.</text> <!-- Pillar 4: Institutional --> <rect x="480" y="380" width="380" height="60" rx="12" fill="#38bdf815" stroke="#38bdf830"/> <circle cx="510" cy="410" r="15" fill="#38bdf8"/> <rect x="502" y="402" width="16" height="16" fill="none" stroke="#0f172a" stroke-width="2"/> <text x="540" y="405" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">Institutional Economics</text> <text x="540" y="422" font-family="sans-serif" font-size="12" fill="#94a3b8">How laws, customs, and social rules shape markets.</text> <!-- Pillar 5: Political --> <rect x="480" y="450" width="380" height="60" rx="12" fill="#fb718515" stroke="#fb718530"/> <circle cx="510" cy="480" r="15" fill="#fb7185"/> <path d="M502 485 L502 475 L518 475 L518 485" fill="none" stroke="#0f172a" stroke-width="2"/> <text x="540" y="475" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">Political Economy</text> <text x="540" y="492" font-family="sans-serif" font-size="12" fill="#94a3b8">Interplay of class interests and systemic power.</text> <!-- Decorative Accents --> <circle cx="860" cy="40" r="20" fill="#f59e0b20"/> <circle cx="840" cy="60" r="10" fill="#e879f920"/> <path d="M40 540 L860 540" stroke="#ffffff10" stroke-width="1"/> </svg>Diverse Economic Perspectives image 1Diverse Economic Perspectives - Principles Microeconomics 3e - image 1https://www.getlykke.com/explore/public/principles-microeconomics-3e-9222e506-dd31-497c-af99-76a1f8aba8f0/media/diverse-economic-perspectives/svg/1Diverse Economic Perspectives diagram 1Diverse Economic Perspectives - Principles Microeconomics 3e - diagram 1https://www.getlykke.com/explore/public/principles-microeconomics-3e-9222e506-dd31-497c-af99-76a1f8aba8f0/media/diverse-economic-perspectives/svg/2Diverse Economic Perspectives diagram 2Diverse Economic Perspectives - Principles Microeconomics 3e - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bgGradient" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff05" stroke-width="1"/> </pattern> <marker id="arrowhead" markerWidth="10" markerHeight="7" refX="0" refY="3.5" orient="auto"> <polygon points="0 0, 10 3.5, 0 7" fill="#94a3b8" /> </marker> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bgGradient)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Decorative Elements --> <circle cx="850" cy="50" r="100" fill="#38bdf808" /> <circle cx="50" cy="510" r="80" fill="#f59e0b08" /> <!-- Header --> <text x="450" y="60" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="30" fill="#f8fafc" letter-spacing="-0.5">THE ARCHITECTURE OF OPEN EDUCATIONAL ECOSYSTEMS</text> <text x="450" y="85" text-anchor="middle" font-family="sans-serif" font-weight="400" font-size="16" fill="#38bdf8" letter-spacing="2">DIGITAL TOOLS &amp; LMS INTEGRATION</text> <line x1="350" y1="100" x2="550" y2="100" stroke="#334155" stroke-width="2" /> <!-- Left Panel: Evolution --> <rect x="30" y="125" width="260" height="405" rx="16" fill="#ffffff05" stroke="#ffffff10"/> <text x="50" y="155" font-family="sans-serif" font-weight="bold" font-size="18" fill="#f59e0b">EVOLUTION</text> <!-- LTI 1.1 --> <rect x="45" y="175" width="230" height="100" rx="12" fill="#ffffff05"/> <text x="60" y="200" font-family="sans-serif" font-weight="bold" font-size="14" fill="#94a3b8">LTI 1.1 (Legacy)</text> <text x="60" y="220" font-family="sans-serif" font-size="12" fill="#64748b">Security: OAuth 1.0a (Shared Secret)</text> <text x="60" y="238" font-family="sans-serif" font-size="12" fill="#64748b">Data: Basic Grade Passback</text> <text x="60" y="256" font-family="sans-serif" font-size="12" fill="#64748b">Flow: Simple Form Post</text> <!-- LTI 1.3 --> <rect x="45" y="290" width="230" height="225" rx="12" fill="#38bdf810" stroke="#38bdf830"/> <text x="60" y="315" font-family="sans-serif" font-weight="bold" font-size="14" fill="#38bdf8">LTI 1.3 / Advantage</text> <text x="60" y="335" font-family="sans-serif" font-size="12" fill="#f8fafc">Security: OAuth 2.0 / JWT</text> <text x="60" y="353" font-family="sans-serif" font-size="12" fill="#f8fafc">Auth: OIDC Connect Flow</text> <text x="60" y="385" font-family="sans-serif" font-weight="bold" font-size="11" fill="#e879f9" letter-spacing="1">ADVANTAGE SERVICES</text> <g transform="translate(60, 405)"> <circle cx="5" cy="0" r="3" fill="#e879f9"/> <text x="15" y="4" font-family="sans-serif" font-size="12" fill="#cbd5e1">Deep Linking</text> <circle cx="5" cy="22" r="3" fill="#e879f9"/> <text x="15" y="26" font-family="sans-serif" font-size="12" fill="#cbd5e1">Assignment &amp; Grade</text> <circle cx="5" cy="44" r="3" fill="#e879f9"/> <text x="15" y="48" font-family="sans-serif" font-size="12" fill="#cbd5e1">Names &amp; Role Provisioning</text> </g> <!-- Center: The Integration Bridge --> <g transform="translate(320, 125)"> <rect width="260" height="405" rx="16" fill="#ffffff05" stroke="#ffffff10"/> <text x="130" y="30" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="18" fill="#38bdf8">THE HANDSHAKE</text> <!-- Visual Bridge --> <path d="M 40 120 Q 130 60 220 120" fill="none" stroke="#f59e0b" stroke-width="3" stroke-dasharray="6 4" opacity="0.6"/> <!-- LMS Node --> <rect x="20" y="120" width="60" height="60" rx="8" fill="#1e293b" stroke="#f8fafc" stroke-width="2"/> <text x="50" y="155" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="12" fill="#f8fafc">LMS</text> <!-- Tool Node --> <rect x="180" y="120" width="60" height="60" rx="8" fill="#1e293b" stroke="#f8fafc" stroke-width="2"/> <text x="210" y="155" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="12" fill="#f8fafc">TOOL</text> <!-- Sequence --> <g transform="translate(30, 210)"> <line x1="20" y1="10" x2="180" y2="10" stroke="#94a3b8" stroke-width="1" marker-end="url(#arrowhead)"/> <text x="100" y="5" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">1. OIDC Login Initiation</text> <line x1="180" y1="40" x2="20" y2="40" stroke="#94a3b8" stroke-width="1" marker-end="url(#arrowhead)"/> <text x="100" y="35" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">2. Authentication Request</text> <line x1="20" y1="70" x2="180" y2="70" stroke="#38bdf8" stroke-width="2" marker-end="url(#arrowhead)"/> <text x="100" y="65" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="10" fill="#38bdf8">3. Signed JWT Response</text> <line x1="180" y1="100" x2="20" y2="100" stroke="#e879f9" stroke-width="2" marker-end="url(#arrowhead)"/> <text x="100" y="95" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="10" fill="#e879f9">4. Resource Selection</text> </g> <!-- JWT Visual --> <rect x="80" y="340" width="100" height="40" rx="6" fill="#38bdf820" stroke="#38bdf8" stroke-width="1"/> <text x="130" y="365" text-anchor="middle" font-family="monospace" font-size="11" fill="#38bdf8">header.payload.sig</text> </g> <!-- Right Panel: OpenStax Assignable --> <rect x="610" y="125" width="260" height="405" rx="16" fill="#ffffff05" stroke="#ffffff10"/> <text x="630" y="155" font-family="sans-serif" font-weight="bold" font-size="18" fill="#e879f9">ASSIGNABLE</text> <text x="630" y="175" font-family="sans-serif" font-size="12" fill="#94a3b8">The Middleware Solution</text> <g transform="translate(630, 200)"> <!-- Feature 1 --> <rect width="220" height="65" rx="10" fill="#ffffff08"/> <rect x="10" y="10" width="30" height="30" rx="6" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1"/> <path d="M 20 25 L 30 25 M 25 20 L 25 30" stroke="#f59e0b" stroke-width="2"/> <text x="50" y="25" font-family="sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">Deep Linking</text> <text x="50" y="42" font-family="sans-serif" font-size="11" fill="#94a3b8">Pick specific OER chapters</text> <text x="50" y="55" font-family="sans-serif" font-size="11" fill="#94a3b8">directly from the LMS.</text> <!-- Feature 2 --> <rect y="80" width="220" height="65" rx="10" fill="#ffffff08"/> <rect x="10" y="90" width="30" height="30" rx="6" fill="#38bdf820" stroke="#38bdf8" stroke-width="1"/> <path d="M 18 105 L 22 112 L 32 98" fill="none" stroke="#38bdf8" stroke-width="2"/> <text x="50" y="105" font-family="sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">Grade Sync</text> <text x="50" y="122" font-family="sans-serif" font-size="11" fill="#94a3b8">Automatic score passback</text> <text x="50" y="135" font-family="sans-serif" font-size="11" fill="#94a3b8">to the course gradebook.</text> <!-- Feature 3 --> <rect y="160" width="220" height="65" rx="10" fill="#ffffff08"/> <rect x="10" y="170" width="30" height="30" rx="6" fill="#e879f920" stroke="#e879f9" stroke-width="1"/> <circle cx="25" cy="180" r="4" stroke="#e879f9" fill="none" stroke-width="1.5"/> <path d="M 18 192 Q 25 185 32 192" stroke="#e879f9" fill="none" stroke-width="1.5"/> <text x="50" y="185" font-family="sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">Roster Sync</text> <text x="50" y="202" font-family="sans-serif" font-size="11" fill="#94a3b8">Names and Roles Service</text> <text x="50" y="215" font-family="sans-serif" font-size="11" fill="#94a3b8">for seamless enrollment.</text> </g> <!-- Technical Footer --> <rect x="630" y="445" width="220" height="65" rx="10" fill="#00000030" stroke="#ffffff10"/> <text x="645" y="465" font-family="sans-serif" font-weight="bold" font-size="11" fill="#64748b" letter-spacing="0.5">INTEROPERABILITY NOTE</text> <text x="645" y="482" font-family="sans-serif" font-size="10" fill="#475569">LTI Advantage is the "lingua franca"</text> <text x="645" y="495" font-family="sans-serif" font-size="10" fill="#475569">of modern EdTech ecosystems.</text> </svg>Digital Tools and LMS Integration image 1Digital Tools and LMS Integration - Principles Microeconomics 3e - image 1https://www.getlykke.com/explore/public/principles-microeconomics-3e-9222e506-dd31-497c-af99-76a1f8aba8f0/media/digital-tools-lms-integration/svg/1Digital Tools and LMS Integration diagram 1Digital Tools and LMS Integration - Principles Microeconomics 3e - diagram 1https://www.getlykke.com/explore/public/principles-microeconomics-3e-9222e506-dd31-497c-af99-76a1f8aba8f0/media/digital-tools-lms-integration/svg/2Digital Tools and LMS Integration diagram 2Digital Tools and LMS Integration - Principles Microeconomics 3e - diagram 2https://www.getlykke.com/explore/public/introduction-sociology-3e-60a6f2c2-d6c6-4618-b9b3-c44f4bbb764a2026-04-20T04:44:56.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Decorative Grid Lines --> <line x1="50" y1="80" x2="850" y2="80" stroke="#ffffff10" stroke-width="1"/> <line x1="450" y1="100" x2="450" y2="520" stroke="#ffffff10" stroke-width="1" stroke-dasharray="5,5"/> <!-- Header --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">FOUNDATIONS OF THE SOCIOLOGICAL PERSPECTIVE</text> <text x="450" y="72" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" font-style="italic">Decoding the "Social Operating System" through Biography and History</text> <!-- LEFT PANEL: THE SOCIOLOGICAL IMAGINATION --> <rect x="40" y="100" width="390" height="430" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="135" font-family="sans-serif" font-weight="700" font-size="20" fill="#38bdf8">The Sociological Imagination</text> <text x="60" y="155" font-family="sans-serif" font-size="12" fill="#94a3b8">C. Wright Mills (1959)</text> <!-- The Lens Graphic --> <circle cx="235" cy="240" r="60" fill="none" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4,2"/> <circle cx="235" cy="240" r="45" fill="#38bdf820" stroke="#38bdf8" stroke-width="3"/> <path d="M210 240 Q 235 210 260 240 Q 235 270 210 240" fill="none" stroke="#f8fafc" stroke-width="2"/> <circle cx="235" cy="240" r="8" fill="#f8fafc"/> <!-- Biography vs History Labels --> <text x="100" y="245" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">BIOGRAPHY</text> <text x="100" y="260" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#94a3b8">Personal Troubles</text> <text x="370" y="245" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="14" fill="#f59e0b">HISTORY</text> <text x="370" y="260" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#94a3b8">Public Issues</text> <path d="M145 240 L180 240" stroke="#38bdf8" stroke-width="2" marker-end="url(#arrow)"/> <path d="M325 240 L290 240" stroke="#38bdf8" stroke-width="2"/> <!-- Comparison Table --> <rect x="60" y="320" width="350" height="185" rx="8" fill="#00000030"/> <text x="75" y="345" font-family="sans-serif" font-weight="700" font-size="13" fill="#f8fafc">Dimension</text> <text x="180" y="345" font-family="sans-serif" font-weight="700" font-size="13" fill="#38bdf8">Trouble (Micro)</text> <text x="300" y="345" font-family="sans-serif" font-weight="700" font-size="13" fill="#f59e0b">Issue (Macro)</text> <line x1="75" y1="355" x2="400" y2="355" stroke="#ffffff20"/> <text x="75" y="380" font-family="sans-serif" font-size="12" fill="#94a3b8">Scale</text> <text x="180" y="380" font-family="sans-serif" font-size="12" fill="#f8fafc">Individual</text> <text x="300" y="380" font-family="sans-serif" font-size="12" fill="#f8fafc">Institutional</text> <text x="75" y="415" font-family="sans-serif" font-size="12" fill="#94a3b8">Resolution</text> <text x="180" y="415" font-family="sans-serif" font-size="12" fill="#f8fafc">Willpower</text> <text x="300" y="415" font-family="sans-serif" font-size="12" fill="#f8fafc">Policy Change</text> <text x="75" y="450" font-family="sans-serif" font-size="12" fill="#94a3b8">Example</text> <text x="180" y="450" font-family="sans-serif" font-size="11" fill="#f8fafc">Credit Debt</text> <text x="300" y="450" font-family="sans-serif" font-size="11" fill="#f8fafc">Stagnant Wages</text> <!-- RIGHT PANEL: THEORETICAL FRAMEWORKS --> <rect x="470" y="100" width="390" height="430" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="490" y="135" font-family="sans-serif" font-weight="700" font-size="20" fill="#e879f9">Theoretical Frameworks</text> <text x="490" y="155" font-family="sans-serif" font-size="12" fill="#94a3b8">The Engines of Social Analysis</text> <!-- Functionalism Graphic --> <g transform="translate(500, 180)"> <rect width="330" height="120" rx="12" fill="#00000040" stroke="#e879f9" stroke-width="1"/> <text x="15" y="25" font-family="monospace" font-size="13" fill="#e879f9">class Society(System):</text> <text x="30" y="45" font-family="monospace" font-size="12" fill="#38bdf8"> def manifest_function(self):</text> <text x="45" y="60" font-family="monospace" font-size="11" fill="#94a3b8"> # Intended: Stability &amp; Skills</text> <text x="30" y="85" font-family="monospace" font-size="12" fill="#f59e0b"> def latent_function(self):</text> <text x="45" y="100" font-family="monospace" font-size="11" fill="#94a3b8"> # Unintended: Social Networks</text> </g> <!-- The Organism Metaphor --> <g transform="translate(500, 320)"> <text x="0" y="20" font-family="sans-serif" font-weight="700" font-size="16" fill="#f8fafc">Functionalism: The Organism</text> <text x="0" y="40" font-family="sans-serif" font-size="12" fill="#94a3b8" width="330">Society as a system where every part serves a purpose.</text> <!-- Three Pillars --> <g transform="translate(0, 60)"> <rect x="0" y="0" width="100" height="110" rx="8" fill="#38bdf815" stroke="#38bdf830"/> <text x="50" y="25" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="12" fill="#38bdf8">MANIFEST</text> <text x="10" y="50" font-family="sans-serif" font-size="10" fill="#f8fafc">Recognized and</text> <text x="10" y="65" font-family="sans-serif" font-size="10" fill="#f8fafc">intended</text> <text x="10" y="80" font-family="sans-serif" font-size="10" fill="#f8fafc">consequences.</text> <rect x="115" y="0" width="100" height="110" rx="8" fill="#f59e0b15" stroke="#f59e0b30"/> <text x="165" y="25" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="12" fill="#f59e0b">LATENT</text> <text x="125" y="50" font-family="sans-serif" font-size="10" fill="#f8fafc">Unintended</text> <text x="125" y="65" font-family="sans-serif" font-size="10" fill="#f8fafc">but beneficial</text> <text x="125" y="80" font-family="sans-serif" font-size="10" fill="#f8fafc">side effects.</text> <rect x="230" y="0" width="100" height="110" rx="8" fill="#ef444415" stroke="#ef444430"/> <text x="280" y="25" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="12" fill="#ef4444">DYSFUNCTION</text> <text x="240" y="50" font-family="sans-serif" font-size="10" fill="#f8fafc">Disruptive</text> <text x="240" y="65" font-family="sans-serif" font-size="10" fill="#f8fafc">patterns that</text> <text x="240" y="80" font-family="sans-serif" font-size="10" fill="#f8fafc">harm stability.</text> </g> </g> <!-- Footer Quote --> <rect x="40" y="505" width="820" height="40" rx="20" fill="#ffffff05"/> <text x="450" y="530" text-anchor="middle" font-family="serif" font-style="italic" font-size="14" fill="#f8fafc">"Neither the life of an individual nor the history of a society can be understood without understanding both." — C. Wright Mills</text> <!-- Decorative Accents --> <circle cx="850" cy="50" r="30" fill="#e879f910"/> <circle cx="850" cy="50" r="15" fill="#e879f920"/> <path d="M40 50 L60 50 M50 40 L50 60" stroke="#38bdf8" stroke-width="2"/> </svg>Foundations of the Sociological Perspective image 1Foundations of the Sociological Perspective - Introduction Sociology 3e - image 1https://www.getlykke.com/explore/public/introduction-sociology-3e-60a6f2c2-d6c6-4618-b9b3-c44f4bbb764a/media/foundations-of-sociology/svg/1Foundations of the Sociological Perspective diagram 1Foundations of the Sociological Perspective - Introduction Sociology 3e - diagram 1https://www.getlykke.com/explore/public/introduction-sociology-3e-60a6f2c2-d6c6-4618-b9b3-c44f4bbb764a/media/foundations-of-sociology/svg/2Foundations of the Sociological Perspective diagram 2Foundations of the Sociological Perspective - Introduction Sociology 3e - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#334155" fill-opacity="0.5"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Header Section --> <text x="450" y="60" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">SOCIAL INTERACTION &amp; THE CULTURAL STACK</text> <line x1="300" y1="80" x2="600" y2="80" stroke="#38bdf8" stroke-width="2" stroke-dasharray="8 4"/> <text x="450" y="100" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" font-style="italic">The Societal Operating System: From Biology to Socialized Nodes</text> <!-- Left Panel: Culture (The Software Stack) --> <rect x="40" y="130" width="400" height="220" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="165" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">1. CULTURE: THE SOFTWARE STACK</text> <!-- Material vs Non-Material --> <g transform="translate(60, 190)"> <rect width="170" height="130" rx="8" fill="#ffffff05"/> <text x="10" y="25" font-family="sans-serif" font-weight="bold" font-size="13" fill="#38bdf8">MATERIAL (Hardware)</text> <text x="10" y="45" font-family="sans-serif" font-size="11" fill="#94a3b8">Physical artifacts and tools.</text> <circle cx="25" cy="85" r="15" fill="#38bdf820" stroke="#38bdf8"/> <path d="M20 85 L30 85 M25 80 L25 90" stroke="#38bdf8" stroke-width="2"/> <text x="50" y="80" font-family="sans-serif" font-size="11" fill="#f8fafc">Architecture</text> <text x="50" y="95" font-family="sans-serif" font-size="11" fill="#f8fafc">Technology</text> </g> <g transform="translate(250, 190)"> <rect width="170" height="130" rx="8" fill="#ffffff05"/> <text x="10" y="25" font-family="sans-serif" font-weight="bold" font-size="13" fill="#e879f9">NON-MATERIAL (Logic)</text> <text x="10" y="45" font-family="sans-serif" font-size="11" fill="#94a3b8">Ideas, beliefs, and norms.</text> <circle cx="25" cy="85" r="15" fill="#e879f920" stroke="#e879f9"/> <path d="M20 82 L25 88 L32 78" fill="none" stroke="#e879f9" stroke-width="2"/> <text x="50" y="80" font-family="sans-serif" font-size="11" fill="#f8fafc">Language</text> <text x="50" y="95" font-family="sans-serif" font-size="11" fill="#f8fafc">Values &amp; Beliefs</text> </g> <!-- Right Panel: Socialization (Bootstrapping) --> <rect x="460" y="130" width="400" height="220" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="480" y="165" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">2. 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1https://www.getlykke.com/explore/public/introduction-sociology-3e-60a6f2c2-d6c6-4618-b9b3-c44f4bbb764a/media/social-interaction-and-culture/svg/1Social Interaction, Culture, and Socialization diagram 1Social Interaction, Culture, and Socialization - Introduction Sociology 3e - diagram 1https://www.getlykke.com/explore/public/introduction-sociology-3e-60a6f2c2-d6c6-4618-b9b3-c44f4bbb764a/media/social-interaction-and-culture/svg/2Social Interaction, Culture, and Socialization diagram 2Social Interaction, Culture, and Socialization - Introduction Sociology 3e - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#f59e0b"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <pattern id="grid" width="30" height="30" patternUnits="userSpaceOnUse"> <path d="M 30 0 L 0 0 0 30" fill="none" stroke="#ffffff05" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background Layer --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="450" y="55" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="32" font-weight="bold" letter-spacing="1">SOCIAL INEQUALITY &amp; STRATIFICATION</text> <rect x="350" y="70" width="200" height="3" fill="url(#accentGrad)" rx="1.5"/> <text x="450" y="92" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="14" font-style="italic">The systemic categorization of society into hierarchical layers of power and wealth.</text> <!-- Left Panel: The 4 Principles --> <rect x="30" y="120" width="260" height="410" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="50" y="155" fill="#38bdf8" font-family="sans-serif" font-size="18" font-weight="bold">The 4 Principles</text> <g transform="translate(50, 180)"> <circle cx="10" cy="10" r="4" fill="#f59e0b"/> <text x="25" y="15" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="bold">Societal Trait</text> <text x="25" y="32" fill="#94a3b8" font-family="sans-serif" font-size="11">Not just individual talent, but a</text> <text x="25" y="46" fill="#94a3b8" font-family="sans-serif" font-size="11">structural feature of society.</text> </g> <g transform="translate(50, 250)"> <circle cx="10" cy="10" r="4" fill="#f59e0b"/> <text x="25" y="15" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="bold">Persistence</text> <text x="25" y="32" fill="#94a3b8" font-family="sans-serif" font-size="11">Inequality is passed down through</text> <text x="25" y="46" fill="#94a3b8" font-family="sans-serif" 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Change and Modern Society - Introduction Sociology 3e - diagram 1https://www.getlykke.com/explore/public/introduction-sociology-3e-60a6f2c2-d6c6-4618-b9b3-c44f4bbb764a/media/social-change-and-modernity/svg/2Social Change and Modern Society diagram 2Social Change and Modern Society - Introduction Sociology 3e - diagram 2https://www.getlykke.com/explore/public/psychology-2e-c0ca6e48-345f-4c57-92fa-35774756d7ca2026-04-20T04:44:25.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10"/> </pattern> </defs> <!-- Background 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2e - image 1https://www.getlykke.com/explore/public/psychology-2e-c0ca6e48-345f-4c57-92fa-35774756d7ca/media/foundations-of-psychological-science/svg/1Foundations of Psychological Science diagram 1Foundations of Psychological Science - Psychology 2e - diagram 1https://www.getlykke.com/explore/public/psychology-2e-c0ca6e48-345f-4c57-92fa-35774756d7ca/media/foundations-of-psychological-science/svg/2Foundations of Psychological Science diagram 2Foundations of Psychological Science - Psychology 2e - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" 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letter-spacing="3">THE HIERARCHY OF BIOLOGICAL ORGANIZATION</text> <line x1="350" y1="100" x2="550" y2="100" stroke="#38bdf8" stroke-width="2" opacity="0.5"/> <!-- Main Hierarchy Flow --> <!-- Level 1: Chemical --> <rect x="40" y="140" width="125" height="180" rx="16" fill="#ffffff10" stroke="#ffffff20"/> <circle cx="102" cy="185" r="25" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <circle cx="102" cy="185" r="4" fill="#38bdf8"/> <circle cx="85" cy="175" r="3" fill="#38bdf8"/> <circle cx="119" cy="195" r="3" fill="#38bdf8"/> <path d="M85 175 L102 185 L119 195" stroke="#38bdf8" stroke-width="1"/> <text x="102" y="235" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="16" font-weight="700">CHEMICAL</text> <text x="102" y="255" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="11">Atoms &amp; Molecules</text> <text x="102" y="275" text-anchor="middle" fill="#f59e0b" font-family="sans-serif" font-size="10" font-weight="600">DNA, ATP, 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<rect width="260" height="150" rx="16" fill="#ffffff0a" stroke="#ffffff10"/> <circle cx="35" cy="35" r="15" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1.5"/> <path d="M 30 35 Q 35 42 40 35 Q 35 28 30 35" fill="none" stroke="#f59e0b" stroke-width="1.5"/> <text x="60" y="40" font-family="sans-serif" font-weight="700" font-size="18" fill="#f8fafc">The Interface</text> <text x="25" y="75" font-family="sans-serif" font-size="13" fill="#cbd5e1"> <tspan x="25" dy="0" font-weight="bold" fill="#f59e0b">INTEGUMENTARY SYSTEM</tspan> <tspan x="25" dy="20">• Barrier: Acid Mantle protection</tspan> <tspan x="25" dy="18">• Sensor: Receptor array</tspan> <tspan x="25" dy="18">• Thermal: Heat exchange pipeline</tspan> </text> <rect x="210" y="20" width="35" height="18" rx="4" fill="#f59e0b30"/> <text x="215" y="33" font-family="monospace" font-size="10" fill="#f59e0b">S_01</text> </g> <!-- Card 2: Control Plane (Top Right) --> <g transform="translate(600, 140)"> <rect width="260" height="150" rx="16" fill="#ffffff0a" stroke="#ffffff10"/> <circle cx="35" cy="35" r="15" fill="#38bdf820" stroke="#38bdf8" stroke-width="1.5"/> <path d="M 28 35 L 32 35 L 35 28 L 38 42 L 42 35" fill="none" stroke="#38bdf8" stroke-width="1.5"/> <text x="60" y="40" font-family="sans-serif" font-weight="700" font-size="18" fill="#f8fafc">Control Plane</text> <text x="25" y="75" font-family="sans-serif" font-size="13" fill="#cbd5e1"> <tspan x="25" dy="0" font-weight="bold" fill="#38bdf8">NERVOUS &amp; ENDOCRINE</tspan> <tspan x="25" dy="20">• Real-time: Signal processing</tspan> <tspan x="25" dy="18">• Homeostatic: Feedback loops</tspan> <tspan x="25" dy="18">• Chemical: Hormonal regulation</tspan> </text> <rect x="210" y="20" width="35" height="18" rx="4" fill="#38bdf830"/> <text x="215" y="33" font-family="monospace" font-size="10" fill="#38bdf8">S_04</text> </g> <!-- Card 3: Skeletal (Bottom Left) --> <g transform="translate(40, 340)"> <rect width="260" height="150" rx="16" fill="#ffffff0a" stroke="#ffffff10"/> <circle cx="35" cy="35" r="15" fill="#f8fafc20" stroke="#f8fafc" stroke-width="1.5"/> <rect x="28" y="32" width="14" height="6" rx="2" fill="#f8fafc"/> <text x="60" y="40" font-family="sans-serif" font-weight="700" font-size="18" fill="#f8fafc">The Chassis</text> <text x="25" y="75" font-family="sans-serif" font-size="13" fill="#cbd5e1"> <tspan x="25" dy="0" font-weight="bold" fill="#f8fafc">SKELETAL SYSTEM</tspan> <tspan x="25" dy="20">• Wolff’s Law: Dynamic remodeling</tspan> <tspan x="25" dy="18">• Reservoir: Calcium homeostasis</tspan> <tspan x="25" dy="18">• Protection: Soft-tissue payload</tspan> </text> <rect x="210" y="20" width="35" height="18" rx="4" fill="#ffffff20"/> <text x="215" y="33" font-family="monospace" font-size="10" fill="#f8fafc">S_02</text> </g> <!-- Card 4: Muscular (Bottom Right) --> <g transform="translate(600, 340)"> <rect width="260" height="150" rx="16" fill="#ffffff0a" stroke="#ffffff10"/> <circle cx="35" cy="35" r="15" fill="#ef444420" stroke="#ef4444" stroke-width="1.5"/> <path d="M 28 30 L 42 30 M 28 35 L 42 35 M 28 40 L 42 40" stroke="#ef4444" stroke-width="1.5"/> <text x="60" y="40" font-family="sans-serif" font-weight="700" font-size="18" fill="#f8fafc">The Actuators</text> <text x="25" y="75" font-family="sans-serif" font-size="13" fill="#cbd5e1"> <tspan x="25" dy="0" font-weight="bold" fill="#ef4444">MUSCULAR SYSTEM</tspan> <tspan x="25" dy="20">• Energy: ATP to mechanical work</tspan> <tspan x="25" dy="18">• Sliding Filament: Sarcomeres</tspan> <tspan x="25" dy="18">• Locomotion: Active contraction</tspan> </text> <rect x="210" y="20" width="35" height="18" rx="4" fill="#ef444430"/> <text x="215" y="33" font-family="monospace" font-size="10" fill="#ef4444">S_03</text> </g> <!-- Footer Info --> <line x1="40" y1="520" x2="860" y2="520" stroke="#ffffff10" stroke-width="1"/> <text x="40" y="540" font-family="sans-serif" font-size="10" fill="#64748b" letter-spacing="1">BIO-CYBERNETIC SCHEMATIC // 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xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="450" y="50" text-anchor="middle" font-family="system-ui, sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">FLUIDS, TRANSPORT &amp; MAINTENANCE</text> <text x="450" y="75" text-anchor="middle" font-family="system-ui, sans-serif" font-size="14" fill="#94a3b8" font-weight="400">The Human Body's Biological Logistics and Life-Support Infrastructure</text> <line x1="350" y1="90" x2="550" y2="90" stroke="#38bdf8" stroke-width="2" stroke-linecap="round"/> <!-- Central Hub: Cardiovascular --> <rect x="280" y="120" width="340" height="240" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="450" y="150" text-anchor="middle" font-family="system-ui, sans-serif" font-weight="700" font-size="18" fill="#f59e0b">THE CARDIOVASCULAR HUB</text> <!-- Heart Icon --> <path d="M450 180 c-20-20-40 0-40 20 0 25 40 45 40 45 s40-20 40-45 c0-20-20-40-40-20" fill="#f43f5e" filter="url(#glow)"/> <text x="450" y="265" text-anchor="middle" font-family="monospace" font-size="13" fill="#38bdf8">R ∝ (η · L) / r⁴</text> <text x="450" y="285" text-anchor="middle" font-family="system-ui, sans-serif" font-size="11" fill="#94a3b8">Poiseuille's Law: Resistance &amp; Flow Control</text> <rect x="300" y="305" width="300" height="40" rx="8" fill="#ffffff08"/> <text x="315" 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stroke-width="1"/> <text x="100" y="460" text-anchor="middle" font-family="system-ui, sans-serif" font-weight="bold" font-size="16" fill="#38bdf8">01</text> <text x="130" y="450" font-family="system-ui, sans-serif" font-weight="600" font-size="13" fill="#f8fafc">Ingestion</text> <text x="130" y="465" font-family="system-ui, sans-serif" font-size="11" fill="#94a3b8">Digestive Input</text> <!-- Arrow --> <path d="M240 455 h40" stroke="#ffffff20" stroke-width="2" marker-end="url(#arrowhead)"/> <!-- Step 2 --> <circle cx="320" cy="455" r="20" fill="#f59e0b" fill-opacity="0.1" stroke="#f59e0b" stroke-width="1"/> <text x="320" y="460" text-anchor="middle" font-family="system-ui, sans-serif" font-weight="bold" font-size="16" fill="#f59e0b">02</text> <text x="350" y="450" font-family="system-ui, sans-serif" font-weight="600" font-size="13" fill="#f8fafc">Distribution</text> <text x="350" y="465" font-family="system-ui, sans-serif" font-size="11" fill="#94a3b8">Bulk Flow (Blood)</text> <!-- 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fill="#f8fafc">Excretion</text> <text x="810" y="465" font-family="system-ui, sans-serif" font-size="11" fill="#94a3b8">Waste Removal</text> <!-- Decorative Accents --> <circle cx="850" cy="50" r="30" fill="#38bdf8" fill-opacity="0.05"/> <circle cx="50" cy="510" r="40" fill="#f43f5e" fill-opacity="0.03"/> <defs> <marker id="arrowhead" markerWidth="10" markerHeight="7" refX="0" refY="3.5" orient="auto"> <polygon points="0 0, 10 3.5, 0 7" fill="#ffffff20" /> </marker> </defs> </svg>Fluids, Transport, and Maintenance image 1Fluids, Transport, and Maintenance - Anatomy and Physiology - image 1https://www.getlykke.com/explore/public/anatomy-and-physiology-592ce986-a62b-4c0a-9cf6-e54b788d88f2/media/fluids-transport-and-maintenance/svg/1Fluids, Transport, and Maintenance diagram 1Fluids, Transport, and Maintenance - Anatomy and Physiology - diagram 1https://www.getlykke.com/explore/public/anatomy-and-physiology-592ce986-a62b-4c0a-9cf6-e54b788d88f2/media/fluids-transport-and-maintenance/svg/2Fluids, Transport, and Maintenance diagram 2Fluids, Transport, and Maintenance - Anatomy and Physiology - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <!-- Decorative Grid --> <g stroke="#ffffff08" stroke-width="1"> <line x1="0" y1="100" x2="900" 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fill="#ffffff0a" stroke="#ffffff1a"/> <text x="60" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">GAMETOGENESIS</text> <!-- Sperm Icon --> <circle cx="80" cy="180" r="6" fill="#38bdf8" filter="url(#glow)"/> <path d="M 86 180 Q 110 180 120 190" stroke="#38bdf8" fill="none" stroke-width="2"/> <text x="135" y="185" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Spermatogenesis</text> <text x="80" y="210" font-family="sans-serif" font-size="11" fill="#94a3b8">Location: Seminiferous tubules</text> <text x="80" y="225" font-family="sans-serif" font-size="11" fill="#94a3b8">Output: 4 functional sperm (n)</text> <text x="80" y="240" font-family="sans-serif" font-size="11" fill="#94a3b8">Timing: Puberty to Death</text> <!-- Ovum Icon --> <circle cx="80" cy="290" r="12" fill="none" stroke="#e879f9" stroke-width="2" filter="url(#glow)"/> <circle cx="80" cy="290" r="4" fill="#e879f9"/> <text x="135" y="295" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Oogenesis</text> <text x="80" y="320" font-family="sans-serif" font-size="11" fill="#94a3b8">Location: Ovaries</text> <text x="80" y="335" font-family="sans-serif" font-size="11" fill="#94a3b8">Output: 1 Ovum + Polar Bodies</text> <text x="80" y="350" font-family="sans-serif" font-size="11" fill="#94a3b8">Timing: In utero to Menopause</text> <!-- Comparison Box --> <rect x="55" y="380" width="230" height="130" rx="8" fill="#00000033"/> <text x="70" y="405" font-family="sans-serif" font-weight="700" font-size="12" fill="#f59e0b">ANISOGAMY</text> <text x="70" y="425" font-family="sans-serif" font-size="11" fill="#f8fafc" width="200">The fusion of two morphologically</text> <text x="70" y="440" font-family="sans-serif" font-size="11" fill="#f8fafc">distinct gametes. Sperm (motile)</text> <text x="70" y="455" font-family="sans-serif" font-size="11" fill="#f8fafc">vs. Ovum (nutrient-rich).</text> <text x="70" y="485" font-family="sans-serif" font-weight="700" font-size="11" fill="#38bdf8">MEIOSIS: 2n → n (23 chromosomes)</text> <!-- Column 2: HPG Axis --> <rect x="320" y="110" width="260" height="420" rx="16" fill="#ffffff0a" stroke="#ffffff1a"/> <text x="340" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">HPG AXIS</text> <!-- Flow Diagram --> <rect x="375" y="165" width="150" height="35" rx="4" fill="#ffffff15" stroke="#f59e0b"/> <text x="450" y="187" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f8fafc" text-anchor="middle">HYPOTHALAMUS</text> <path d="M 450 200 L 450 230" stroke="#94a3b8" stroke-width="2" marker-end="url(#arrow)"/> <text x="455" y="220" font-family="sans-serif" font-size="10" fill="#38bdf8">GnRH</text> <rect x="375" y="235" width="150" height="35" rx="4" fill="#ffffff15" stroke="#f59e0b"/> <text x="450" y="257" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f8fafc" text-anchor="middle">ANT. PITUITARY</text> <path d="M 450 270 L 450 300" stroke="#94a3b8" stroke-width="2"/> <text x="455" y="290" font-family="sans-serif" font-size="10" fill="#e879f9">LH / FSH</text> <rect x="375" y="305" width="150" height="35" rx="4" fill="#ffffff15" stroke="#f59e0b"/> <text x="450" y="327" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f8fafc" text-anchor="middle">GONADS</text> <!-- Feedback Loop --> <path d="M 375 322 L 340 322 L 340 182 L 375 182" stroke="#ef4444" stroke-width="2" fill="none" stroke-dasharray="4"/> <text x="345" y="250" font-family="sans-serif" font-size="10" fill="#ef4444" transform="rotate(-90, 345, 250)">NEGATIVE FEEDBACK</text> <text x="340" y="380" font-family="sans-serif" font-weight="700" font-size="12" fill="#94a3b8">HORMONAL ROLES:</text> <text x="340" y="405" font-family="sans-serif" font-size="11" fill="#f8fafc">• FSH: Gamete production</text> <text x="340" y="425" font-family="sans-serif" font-size="11" fill="#f8fafc">• LH: Sex hormone secretion</text> <text x="340" y="445" font-family="sans-serif" font-size="11" fill="#f8fafc">• GnRH: Master regulator</text> <rect x="340" y="465" width="220" height="45" rx="4" fill="#38bdf822"/> <text x="350" y="482" font-family="sans-serif" font-size="10" font-weight="bold" fill="#38bdf8">HOMEOSTASIS</text> <text x="350" y="498" font-family="sans-serif" font-size="9" fill="#f8fafc">Maintains stable hormone levels via</text> <text x="350" y="508" font-family="sans-serif" font-size="9" fill="#f8fafc">tightly regulated inhibitory loops.</text> <!-- Column 3: Embryology Timeline --> <rect x="600" y="110" width="260" height="420" rx="16" fill="#ffffff0a" stroke="#ffffff1a"/> <text x="620" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">EMBRYOLOGY</text> <!-- Vertical Timeline --> <line x1="630" y1="160" x2="630" y2="500" stroke="#94a3b8" stroke-width="2"/> <!-- Day 0 --> <circle cx="630" cy="175" r="5" fill="#f59e0b"/> <text x="645" y="175" font-family="sans-serif" font-weight="bold" font-size="12" fill="#f8fafc">Day 0: Zygote</text> <text x="645" y="190" font-family="sans-serif" font-size="10" fill="#94a3b8">Fertilization in Ampulla (2n)</text> <!-- Day 3 --> <circle cx="630" cy="235" r="5" fill="#38bdf8"/> <text x="645" y="235" font-family="sans-serif" font-weight="bold" font-size="12" fill="#f8fafc">Day 3-4: Morula</text> <text x="645" y="250" font-family="sans-serif" font-size="10" fill="#94a3b8">16-cell solid ball of cells</text> <!-- Day 5 --> <circle cx="630" cy="295" r="5" fill="#38bdf8"/> <text x="645" y="295" font-family="sans-serif" font-weight="bold" font-size="12" fill="#f8fafc">Day 5-7: Blastocyst</text> <text x="645" y="310" font-family="sans-serif" font-size="10" fill="#94a3b8">Hollow sphere; Inner Cell Mass</text> <!-- Day 9 --> <circle cx="630" cy="355" r="5" fill="#e879f9"/> <text x="645" y="355" font-family="sans-serif" font-weight="bold" font-size="12" fill="#f8fafc">Day 7-10: Implantation</text> <text x="645" y="370" font-family="sans-serif" font-size="10" fill="#94a3b8">Endometrial invasion; hCG</text> <!-- Germ Layers --> <text x="620" y="415" font-family="sans-serif" font-weight="700" font-size="13" fill="#f8fafc">GASTRULATION (Week 3)</text> <g transform="translate(630, 435)"> <rect width="210" height="20" rx="4" fill="#38bdf844"/> <text x="10" y="14" font-family="sans-serif" font-size="10" font-weight="bold" fill="#38bdf8">ECTODERM</text> <text x="80" y="14" font-family="sans-serif" font-size="9" fill="#f8fafc">Nervous system, Skin</text> <rect y="25" width="210" height="20" rx="4" fill="#ef444444"/> <text x="10" y="39" font-family="sans-serif" font-size="10" font-weight="bold" fill="#fca5a5">MESODERM</text> <text x="80" y="39" font-family="sans-serif" font-size="9" fill="#f8fafc">Muscles, Skeleton, Heart</text> <rect y="50" width="210" height="20" rx="4" fill="#f59e0b44"/> <text x="10" y="64" font-family="sans-serif" font-size="10" font-weight="bold" fill="#fcd34d">ENDODERM</text> <text x="80" y="64" font-family="sans-serif" font-size="9" fill="#f8fafc">Digestive &amp; Respiratory</text> </g> <!-- Marker Def --> <defs> <marker id="arrow" markerWidth="10" markerHeight="10" refX="0" refY="3" orient="auto" markerUnits="strokeWidth"> <path d="M0,0 L0,6 L9,3 z" fill="#94a3b8" /> </marker> </defs> <!-- Footer Label --> <text x="860" y="545" font-family="sans-serif" font-size="10" fill="#ffffff33" text-anchor="end">WIKI_EDU_POSTER_V2.1 // HUMAN_REPRODUCTION</text> </svg>Reproduction and Human Development image 1Reproduction and Human Development - Anatomy and Physiology - image 1https://www.getlykke.com/explore/public/anatomy-and-physiology-592ce986-a62b-4c0a-9cf6-e54b788d88f2/media/reproduction-and-development/svg/1Reproduction and Human Development diagram 1Reproduction and Human Development - Anatomy and Physiology - diagram 1https://www.getlykke.com/explore/public/anatomy-and-physiology-592ce986-a62b-4c0a-9cf6-e54b788d88f2/media/reproduction-and-development/svg/2Reproduction and Human Development diagram 2Reproduction and Human Development - Anatomy and Physiology - diagram 2https://www.getlykke.com/explore/public/anatomy-and-physiology-592ce986-a62b-4c0a-9cf6-e54b788d88f2/media/reproduction-and-development/svg/3Reproduction and Human Development diagram 3Reproduction and Human Development - Anatomy and Physiology - diagram 3https://www.getlykke.com/explore/public/chemistry-2e-61aaa542-40da-45df-8ae5-3e14c99880b62026-04-20T04:43:10.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="450" y="50" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="32" font-weight="bold" letter-spacing="1">FOUNDATIONS OF CHEMISTRY</text> <text x="450" y="78" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="16" font-weight="300" letter-spacing="2">MATTER • MEASUREMENT • ATOMIC THEORY</text> <line x1="300" y1="95" x2="600" y2="95" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 4"/> <!-- Left Panel: Atomic Theory --> <rect x="30" y="120" width="410" height="280" rx="16" fill="#ffffff10" stroke="#ffffff20"/> <text x="50" y="150" fill="#e879f9" font-family="sans-serif" font-size="18" font-weight="bold">I. ATOMIC THEORY</text> <text x="50" y="170" fill="#94a3b8" font-family="sans-serif" font-size="12">The "Source Code" of Matter</text> <!-- Atom Illustration --> <circle cx="100" cy="240" r="15" fill="#e879f933" stroke="#e879f9" stroke-width="2"/> <circle cx="96" cy="236" r="4" fill="#38bdf8"/> <circle cx="104" cy="244" r="4" fill="#f59e0b"/> <ellipse cx="100" cy="240" rx="40" ry="15" fill="none" stroke="#ffffff30" stroke-width="1" transform="rotate(45 100 240)"/> <ellipse cx="100" cy="240" rx="40" ry="15" fill="none" stroke="#ffffff30" stroke-width="1" transform="rotate(-45 100 240)"/> <circle cx="128" cy="212" r="3" fill="#f8fafc" filter="url(#glow)"/> <!-- Subatomic Table --> <g transform="translate(160, 200)"> <rect width="250" height="80" rx="8" fill="#00000030"/> <text x="10" y="20" fill="#f8fafc" font-family="sans-serif" font-size="11" font-weight="bold">Particle</text> <text x="80" y="20" fill="#f8fafc" font-family="sans-serif" font-size="11" font-weight="bold">Charge</text> <text x="150" y="20" fill="#f8fafc" font-family="sans-serif" font-size="11" font-weight="bold">Mass (amu)</text> <text x="10" y="40" fill="#38bdf8" font-family="sans-serif" font-size="11">Proton (p+)</text> <text x="80" y="40" fill="#94a3b8" font-family="sans-serif" font-size="11">+1</text> <text x="150" y="40" fill="#94a3b8" font-family="sans-serif" font-size="11">1.0073</text> <text x="10" y="55" fill="#f59e0b" font-family="sans-serif" font-size="11">Neutron (n0)</text> <text x="80" y="55" fill="#94a3b8" font-family="sans-serif" font-size="11">0</text> <text x="150" y="55" fill="#94a3b8" font-family="sans-serif" font-size="11">1.0087</text> <text x="10" y="70" fill="#e879f9" font-family="sans-serif" font-size="11">Electron (e-)</text> <text x="80" y="70" fill="#94a3b8" font-family="sans-serif" font-size="11">-1</text> <text x="150" y="70" fill="#94a3b8" font-family="sans-serif" font-size="11">0.0005</text> </g> <text x="50" y="320" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="bold">Isotopes &amp; Atomic Mass</text> <text x="50" y="340" fill="#94a3b8" font-family="sans-serif" font-size="12" width="350"> Atomic Number (Z) defines identity. Mass Number (A) </text> <text x="50" y="355" fill="#94a3b8" font-family="sans-serif" font-size="12"> varies by neutron count. Atomic mass is a weighted average. </text> <!-- Right Panel: Measurement --> <rect x="460" y="120" width="410" height="280" rx="16" fill="#ffffff10" stroke="#ffffff20"/> <text x="480" y="150" fill="#38bdf8" font-family="sans-serif" font-size="18" font-weight="bold">II. MEASUREMENT &amp; SI</text> <text x="480" y="170" fill="#94a3b8" font-family="sans-serif" font-size="12">The Language of Precision</text> <!-- SI Units List --> <g transform="translate(480, 190)"> <text x="0" y="15" fill="#f8fafc" font-family="sans-serif" font-size="12" font-weight="bold">SI BASE UNITS</text> <rect x="0" y="25" width="180" height="100" rx="8" fill="#00000030"/> <text x="10" y="45" fill="#38bdf8" font-family="sans-serif" font-size="11">Mass: Kilogram (kg)</text> <text x="10" y="60" fill="#38bdf8" font-family="sans-serif" font-size="11">Length: Meter (m)</text> <text x="10" y="75" fill="#38bdf8" font-family="sans-serif" font-size="11">Temp: Kelvin (K)</text> <text x="10" y="90" fill="#38bdf8" font-family="sans-serif" font-size="11">Amount: Mole (mol)</text> <text x="10" y="105" fill="#38bdf8" font-family="sans-serif" font-size="11">Time: Second (s)</text> </g> <!-- Accuracy vs Precision Graphic --> <g transform="translate(680, 190)"> <text x="0" y="15" fill="#f8fafc" font-family="sans-serif" font-size="12" font-weight="bold">PRECISION VS ACCURACY</text> <!-- Target 1 --> <circle cx="30" cy="60" r="25" fill="none" stroke="#ffffff20" stroke-width="1"/> <circle cx="30" cy="60" r="15" fill="none" stroke="#ffffff20" stroke-width="1"/> <circle cx="30" cy="60" r="5" fill="#f59e0b33"/> <circle cx="45" cy="45" r="2" fill="#f59e0b"/> <circle cx="47" cy="48" r="2" fill="#f59e0b"/> <circle cx="43" cy="50" r="2" fill="#f59e0b"/> <text x="30" y="100" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10">Precise, Not Accurate</text> <!-- Target 2 --> <circle cx="120" cy="60" r="25" fill="none" stroke="#ffffff20" stroke-width="1"/> <circle cx="120" cy="60" r="15" fill="none" stroke="#ffffff20" stroke-width="1"/> <circle cx="120" cy="60" r="5" fill="#38bdf833"/> <circle cx="120" cy="60" r="2" fill="#38bdf8"/> <circle cx="122" cy="58" r="2" fill="#38bdf8"/> <circle cx="118" cy="62" r="2" fill="#38bdf8"/> <text x="120" y="100" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10">Precise &amp; Accurate</text> </g> <!-- Bottom Panel: Dimensional Analysis --> <rect x="30" y="420" width="840" height="110" rx="16" fill="#ffffff15" stroke="#38bdf840"/> <text x="50" y="450" fill="#f59e0b" font-family="sans-serif" font-size="18" font-weight="bold">III. DIMENSIONAL ANALYSIS</text> <text x="50" y="470" fill="#94a3b8" font-family="sans-serif" font-size="12">The Factor-Label Method: Treating units as algebraic quantities.</text> <!-- Equation Visual --> <g transform="translate(50, 485)"> <rect width="120" height="30" rx="4" fill="#ffffff10"/> <text x="60" y="20" text-anchor="middle" fill="#f8fafc" font-family="monospace" font-size="14">Given Unit</text> <text x="140" y="20" fill="#f8fafc" font-size="18">×</text> <line x1="165" y1="20" x2="285" y2="20" stroke="#f8fafc" stroke-width="1"/> <text x="225" y="15" text-anchor="middle" fill="#38bdf8" font-family="monospace" font-size="12">Desired Unit</text> <text x="225" y="35" text-anchor="middle" fill="#e879f9" font-family="monospace" font-size="12">Given Unit</text> <text x="305" y="20" fill="#f8fafc" font-size="18">=</text> <rect x="330" y="0" width="120" height="30" rx="4" fill="#38bdf830" stroke="#38bdf8"/> <text x="390" y="20" text-anchor="middle" fill="#f8fafc" font-family="monospace" font-size="14" font-weight="bold">Desired Unit</text> <text x="480" y="20" fill="#94a3b8" font-family="sans-serif" font-size="11" font-style="italic">"Units must cancel out to ensure physical logic."</text> </g> <!-- Decorative elements --> <path d="M 850 50 L 870 70 M 870 50 L 850 70" stroke="#f59e0b" stroke-width="2" opacity="0.5"/> <circle cx="40" cy="40" r="10" fill="none" stroke="#38bdf8" stroke-width="2" opacity="0.5"/> </svg>Foundations of Chemistry: Matter and Measurement image 1Foundations of Chemistry: Matter and Measurement - Chemistry 2e - image 1https://www.getlykke.com/explore/public/chemistry-2e-61aaa542-40da-45df-8ae5-3e14c99880b6/media/foundations-of-chemistry/svg/1Foundations of Chemistry: Matter and Measurement diagram 1Foundations of Chemistry: Matter and Measurement - Chemistry 2e - diagram 1https://www.getlykke.com/explore/public/chemistry-2e-61aaa542-40da-45df-8ae5-3e14c99880b6/media/foundations-of-chemistry/svg/2Foundations of Chemistry: Matter and Measurement diagram 2Foundations of Chemistry: Matter and Measurement - Chemistry 2e - diagram 2https://www.getlykke.com/explore/public/chemistry-2e-61aaa542-40da-45df-8ae5-3e14c99880b6/media/electronic-structure-and-bonding/svg/1Electronic Structure and Chemical Bonding diagram 1Electronic Structure and Chemical Bonding - Chemistry 2e - diagram 1<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <pattern id="dotPattern" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff08" /> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dotPattern)"/> <!-- Header --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" filter="url(#glow)">STATES OF MATTER &amp; THERMOCHEMISTRY</text> <text x="450" y="75" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" letter-spacing="2">A DYNAMIC LANDSCAPE OF ENERGY &amp; INTERACTION</text> <rect x="350" y="85" width="200" height="2" fill="url(#accentGrad)"/> <!-- Left Panel: Gaseous State --> <rect x="40" y="110" width="400" height="240" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="140" font-family="sans-serif" font-weight="700" font-size="20" fill="#38bdf8">The Gaseous State</text> <text x="60" y="160" font-family="sans-serif" font-size="12" fill="#94a3b8">Chaotic motion where kinetic energy &gt; attraction.</text> <!-- Equation Box --> <rect x="60" y="175" width="160" height="50" rx="8" fill="#38bdf820" stroke="#38bdf840"/> <text x="140" y="208" text-anchor="middle" font-family="serif" font-style="italic" font-weight="700" font-size="24" fill="#38bdf8">PV = nRT</text> <text x="230" y="190" font-family="sans-serif" font-size="11" fill="#f8fafc">P: Pressure | V: Volume</text> <text x="230" y="205" font-family="sans-serif" font-size="11" fill="#f8fafc">n: Moles | T: Temperature</text> <text x="230" y="220" font-family="sans-serif" font-size="11" fill="#f8fafc">R: Gas Constant</text> <!-- KMT Assumptions --> <text x="60" y="255" font-family="sans-serif" font-weight="600" font-size="13" fill="#f8fafc">Kinetic Molecular Theory (KMT)</text> <circle cx="70" cy="275" r="3" fill="#38bdf8"/> <text x="80" y="278" font-family="sans-serif" font-size="11" fill="#94a3b8">Continuous random motion</text> <circle cx="70" cy="295" r="3" fill="#38bdf8"/> <text x="80" y="298" font-family="sans-serif" font-size="11" fill="#94a3b8">Negligible particle volume</text> <circle cx="70" cy="315" r="3" fill="#38bdf8"/> <text x="80" y="318" font-family="sans-serif" font-size="11" fill="#94a3b8">Perfectly elastic collisions</text> <!-- Right Panel: IMFs --> <rect x="460" y="110" width="400" height="240" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="480" y="140" font-family="sans-serif" font-weight="700" font-size="20" fill="#e879f9">Intermolecular Forces</text> <text x="480" y="160" font-family="sans-serif" font-size="12" fill="#94a3b8">The "glue" holding condensed matter together.</text> <!-- IMF Hierarchy --> <g transform="translate(480, 180)"> <!-- Ion-Dipole --> <rect width="360" height="30" rx="6" fill="#e879f925"/> <text x="10" y="20" font-family="sans-serif" font-weight="700" font-size="12" fill="#f8fafc">1. Ion-Dipole</text> <text x="350" y="20" text-anchor="end" font-family="sans-serif" font-size="11" fill="#e879f9">Strongest</text> <!-- H-Bond --> <rect y="35" width="360" height="30" rx="6" fill="#ffffff08"/> <text x="10" y="55" font-family="sans-serif" font-weight="700" font-size="12" fill="#f8fafc">2. Hydrogen Bonding</text> <text x="350" y="55" text-anchor="end" font-family="sans-serif" font-size="11" fill="#94a3b8">N-H, O-H, F-H</text> <!-- Dipole-Dipole --> <rect y="70" width="360" height="30" rx="6" fill="#ffffff08"/> <text x="10" y="90" font-family="sans-serif" font-weight="700" font-size="12" fill="#f8fafc">3. Dipole-Dipole</text> <text x="350" y="90" text-anchor="end" font-family="sans-serif" font-size="11" fill="#94a3b8">Polar Molecules</text> <!-- Dispersion --> <rect y="105" width="360" height="30" rx="6" fill="#ffffff08"/> <text x="10" y="125" font-family="sans-serif" font-weight="700" font-size="12" fill="#f8fafc">4. London Dispersion</text> <text x="350" y="125" text-anchor="end" font-family="sans-serif" font-size="11" fill="#94a3b8">All Matter (Weakest)</text> </g> <!-- Bottom Panel: Real Gases & Thermochemistry --> <rect x="40" y="370" width="820" height="160" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="400" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">Real Gas Deviations: Van der Waals</text> <text x="60" y="430" font-family="sans-serif" font-size="13" fill="#f8fafc" font-style="italic">[P + a(n/V)²][V - nb] = nRT</text> <g transform="translate(60, 450)"> <rect width="340" height="60" rx="8" fill="#f59e0b10" stroke="#f59e0b30"/> <text x="15" y="25" font-family="sans-serif" font-weight="700" font-size="14" fill="#f59e0b">Constant 'a'</text> <text x="15" y="45" font-family="sans-serif" font-size="11" fill="#94a3b8">Corrects for intermolecular attraction forces.</text> </g> <g transform="translate(420, 450)"> <rect width="340" height="60" rx="8" fill="#f59e0b10" stroke="#f59e0b30"/> <text x="15" y="25" font-family="sans-serif" font-weight="700" font-size="14" fill="#f59e0b">Constant 'b'</text> <text x="15" y="45" font-family="sans-serif" font-size="11" fill="#94a3b8">Corrects for the finite volume of particles.</text> </g> <!-- Decorative Energy Flow --> <path d="M 450 350 L 450 370" stroke="url(#accentGrad)" stroke-width="2" stroke-dasharray="4 4"/> <circle cx="450" cy="360" r="4" fill="#f59e0b"/> <!-- Visualizing Particles (Small Iconography) --> <g transform="translate(350, 125)"> <circle cx="10" cy="10" r="4" fill="#38bdf8"/> <line x1="14" y1="14" x2="22" y2="22" stroke="#38bdf8" stroke-width="1"/> <circle cx="30" cy="5" r="4" fill="#38bdf8"/> <line x1="30" y1="9" x2="30" y2="18" stroke="#38bdf8" stroke-width="1"/> <circle cx="5" cy="35" r="4" fill="#38bdf8"/> <line x1="9" y1="35" x2="18" y2="35" stroke="#38bdf8" stroke-width="1"/> </g> <g transform="translate(780, 125)"> <circle cx="10" cy="10" r="4" fill="#e879f9"/> <circle cx="18" cy="10" r="4" fill="#e879f9"/> <circle cx="14" cy="17" r="4" fill="#e879f9"/> <path d="M 10 10 Q 14 10 18 10" stroke="#ffffff40" fill="none" stroke-width="1"/> </g> <!-- Footer Label --> <text x="860" y="545" text-anchor="end" font-family="sans-serif" font-size="10" font-weight="bold" fill="#ffffff20">THERMODYNAMICS SERIES // VOL 01</text> </svg>States of Matter and Thermochemistry image 1States of Matter and Thermochemistry - Chemistry 2e - image 1https://www.getlykke.com/explore/public/chemistry-2e-61aaa542-40da-45df-8ae5-3e14c99880b6/media/states-of-matter-and-thermochemistry/svg/1States of Matter and Thermochemistry diagram 1States of Matter and Thermochemistry - Chemistry 2e - diagram 1https://www.getlykke.com/explore/public/chemistry-2e-61aaa542-40da-45df-8ae5-3e14c99880b6/media/states-of-matter-and-thermochemistry/svg/2States of Matter and Thermochemistry diagram 2States of Matter and Thermochemistry - Chemistry 2e - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg-grad" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dot-pattern" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10"/> </pattern> <linearGradient id="kinetics-grad" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#818cf8"/> </linearGradient> <linearGradient id="equil-grad" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#f59e0b"/> <stop offset="100%" stop-color="#fb7185"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg-grad)"/> <rect width="900" height="560" fill="url(#dot-pattern)"/> <!-- Subtle Grid Lines --> <g stroke="#ffffff08" stroke-width="1"> <line x1="450" y1="100" x2="450" y2="520"/> <line x1="50" y1="280" x2="850" y2="280"/> </g> <!-- Header --> <text x="450" y="55" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">CHEMICAL KINETICS &amp; EQUILIBRIUM</text> <text x="450" y="80" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" letter-spacing="2">THE DYNAMICS OF CHEMICAL REACTIVITY</text> <!-- LEFT PANEL: KINETICS --> <rect x="40" y="110" width="400" height="410" rx="20" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="65" y="145" font-family="sans-serif" font-weight="700" font-size="20" fill="#38bdf8">KINETICS: THE CLOCK</text> <text x="65" y="165" font-family="sans-serif" font-size="12" fill="#94a3b8">Focus: Reaction Rates &amp; Mechanisms (How Fast?)</text> <!-- Energy Profile Diagram --> <g transform="translate(70, 190)"> <path d="M 0,120 Q 50,120 80,120 T 150,20 T 220,100 L 340,100" fill="none" stroke="#38bdf8" stroke-width="3" filter="url(#glow)"/> <line x1="0" y1="130" x2="0" y2="0" stroke="#94a3b8" stroke-width="1" stroke-dasharray="4"/> <line x1="0" y1="130" x2="340" y2="130" stroke="#94a3b8" stroke-width="1" stroke-dasharray="4"/> <!-- Activation Energy Label --> <path d="M 150,120 L 150,25" stroke="#f472b6" stroke-width="2" marker-start="url(#arrow)" marker-end="url(#arrow)"/> <text x="155" y="70" font-family="sans-serif" font-size="11" fill="#f472b6" font-weight="bold">Eₐ (Activation Energy)</text> <!-- Transition State --> <circle cx="150" cy="20" r="4" fill="#f8fafc"/> <text x="120" y="12" font-family="sans-serif" font-size="10" fill="#f8fafc">Transition State</text> <text x="5" y="115" font-family="sans-serif" font-size="10" fill="#94a3b8">Reactants</text> <text x="280" y="95" font-family="sans-serif" font-size="10" fill="#94a3b8">Products</text> </g> <!-- Kinetics Details --> <g transform="translate(65, 360)"> <rect width="350" height="140" rx="12" fill="#00000020"/> <text x="15" y="25" font-family="sans-serif" font-weight="700" font-size="13" fill="#f8fafc">Collision Theory</text> <text x="15" y="45" font-family="sans-serif" font-size="11" fill="#94a3b8">1. Molecules must collide</text> <text x="15" y="60" font-family="sans-serif" font-size="11" fill="#94a3b8">2. Correct orientation required</text> <text x="15" y="75" font-family="sans-serif" font-size="11" fill="#94a3b8">3. Sufficient kinetic energy (Eₐ)</text> <text x="190" y="25" font-family="sans-serif" font-weight="700" font-size="13" fill="#f8fafc">Rate Law</text> <text x="190" y="50" font-family="sans-serif" font-size="16" fill="#38bdf8" font-style="italic">Rate = k[A]ᵐ[B]ⁿ</text> <text x="190" y="75" font-family="sans-serif" font-size="11" fill="#94a3b8">k = Arrhenius Constant</text> </g> <!-- RIGHT PANEL: EQUILIBRIUM --> <rect x="460" y="110" width="400" height="410" rx="20" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="485" y="145" font-family="sans-serif" font-weight="700" font-size="20" fill="#f59e0b">EQUILIBRIUM: THE BALANCE</text> <text x="485" y="165" font-family="sans-serif" font-size="12" fill="#94a3b8">Focus: Reversibility &amp; Final State (Where?)</text> <!-- Balance Scale Icon --> <g transform="translate(660, 220)"> <path d="M -80,40 L 80,40" stroke="#f59e0b" stroke-width="4" stroke-linecap="round"/> <path d="M 0,40 L 0,-20" stroke="#94a3b8" stroke-width="2"/> <circle cx="-80" cy="60" r="20" fill="none" stroke="#f59e0b" stroke-width="2"/> <circle cx="80" cy="60" r="20" fill="none" stroke="#f59e0b" stroke-width="2"/> <text x="-80" y="65" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#f8fafc" font-weight="bold">R</text> <text x="80" y="65" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#f8fafc" font-weight="bold">P</text> <path d="M -20,10 L 20,10 M 20,0 L 30,10 L 20,20 M -20,0 L -30,10 L -20,20" fill="none" stroke="#f8fafc" stroke-width="2"/> <text x="0" y="-30" text-anchor="middle" font-family="sans-serif" font-size="12" fill="#f59e0b" font-weight="bold">Rate_f = Rate_r</text> </g> <!-- Equilibrium Graph --> <g transform="translate(485, 280)"> <line x1="0" y1="60" x2="160" y2="60" stroke="#94a3b8" stroke-width="1" stroke-dasharray="2"/> <!-- Reactant curve --> <path d="M 0,10 Q 40,80 160,80" fill="none" stroke="#fb7185" stroke-width="2"/> <!-- Product curve --> <path d="M 0,100 Q 40,40 160,40" fill="none" stroke="#34d399" stroke-width="2"/> <text x="165" y="85" font-family="sans-serif" font-size="10" fill="#fb7185">[Reactants]</text> <text x="165" y="45" font-family="sans-serif" font-size="10" fill="#34d399">[Products]</text> <text x="80" y="115" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">Time →</text> <line x1="60" y1="0" x2="60" y2="100" stroke="#f8fafc30" stroke-width="1"/> <text x="65" y="10" font-family="sans-serif" font-size="9" fill="#f8fafc60">Equilibrium Reached</text> </g> <!-- Equilibrium Details --> <g transform="translate(485, 410)"> <rect width="350" height="90" rx="12" fill="#00000020"/> <text x="15" y="25" font-family="sans-serif" font-weight="700" font-size="13" fill="#f8fafc">Le Chatelier's Principle</text> <text x="15" y="45" font-family="sans-serif" font-size="11" fill="#94a3b8">A system at equilibrium responds to</text> <text x="15" y="60" font-family="sans-serif" font-size="11" fill="#94a3b8">stress (T, P, Conc) by shifting to</text> <text x="15" y="75" font-family="sans-serif" font-size="11" fill="#94a3b8">counteract the change.</text> <text x="210" y="25" font-family="sans-serif" font-weight="700" font-size="13" fill="#f8fafc">Constant (K)</text> <text x="210" y="55" font-family="sans-serif" font-size="16" fill="#f59e0b" font-weight="bold">K = [Prod] / [React]</text> </g> <!-- Central Connector --> <g transform="translate(430, 260)"> <rect x="-20" y="-20" width="80" height="40" rx="10" fill="#1e1b4b" stroke="#f472b6" stroke-width="2"/> <text x="20" y="5" text-anchor="middle" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f8fafc">VS</text> </g> <!-- Bottom Legend/Key Facts --> <rect x="40" y="530" width="820" height="20" rx="4" fill="#ffffff05"/> <text x="450" y="544" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#64748b" text-transform="uppercase" letter-spacing="1">Thermodynamics determines IF • Kinetics determines WHEN • Equilibrium determines HOW MUCH</text> </svg>Chemical Kinetics and Equilibrium image 1Chemical Kinetics and Equilibrium - Chemistry 2e - image 1https://www.getlykke.com/explore/public/chemistry-2e-61aaa542-40da-45df-8ae5-3e14c99880b6/media/kinetics-and-equilibrium/svg/1Chemical Kinetics and Equilibrium diagram 1Chemical Kinetics and Equilibrium - Chemistry 2e - diagram 1https://www.getlykke.com/explore/public/chemistry-2e-61aaa542-40da-45df-8ae5-3e14c99880b6/media/kinetics-and-equilibrium/svg/2Chemical Kinetics and Equilibrium diagram 2Chemical Kinetics and Equilibrium - Chemistry 2e - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Decorative Elements --> <circle cx="850" cy="50" r="100" fill="#38bdf8" fill-opacity="0.05"/> <circle cx="50" cy="510" r="80" fill="#e879f9" fill-opacity="0.05"/> <!-- Header --> <text x="40" y="60" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">THERMODYNAMICS &amp; ELECTROCHEMISTRY</text> <text x="40" y="85" font-family="sans-serif" font-size="16" fill="#94a3b8" letter-spacing="1">THE ROADMAP OF CHEMICAL SPONTANEITY</text> <line x1="40" y1="105" x2="860" y2="105" stroke="#38bdf8" stroke-width="2" stroke-opacity="0.3"/> <!-- Left Card: Entropy --> <rect x="40" y="130" width="400" height="200" rx="16" fill="#ffffff10" stroke="#ffffff15"/> <text x="65" y="165" font-family="sans-serif" font-weight="700" font-size="20" fill="#38bdf8">ENTROPY (S)</text> <text x="65" y="185" font-family="sans-serif" font-size="13" fill="#94a3b8">The measure of energy dispersal &amp; microstates.</text> <!-- Boltzmann Equation Graphic --> <rect x="65" y="205" width="180" height="60" rx="8" fill="#00000030"/> <text x="85" y="242" font-family="serif" font-style="italic" font-size="24" fill="#f8fafc">S = k<tspan baseline-shift="sub" font-size="14">B</tspan> ln W</text> <!-- Microstate Visual --> <g transform="translate(270, 205)"> <rect width="140" height="90" rx="8" fill="#ffffff05" stroke="#ffffff10"/> <circle cx="20" cy="20" r="4" fill="#f59e0b"/> <circle cx="50" cy="35" r="4" fill="#f59e0b"/> <circle cx="30" cy="60" r="4" fill="#f59e0b"/> <circle cx="80" cy="25" r="4" fill="#f59e0b"/> <circle cx="110" cy="50" r="4" fill="#f59e0b"/> <circle cx="70" cy="70" r="4" fill="#f59e0b"/> <text x="70" y="105" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#94a3b8">Energy Dispersal (W)</text> </g> <!-- Right Card: Gibbs Free Energy --> <rect x="460" y="130" width="400" height="200" rx="16" fill="#ffffff10" stroke="#ffffff15"/> <text x="485" y="165" font-family="sans-serif" font-weight="700" font-size="20" fill="#e879f9">GIBBS FREE ENERGY (G)</text> <text x="485" y="185" font-family="sans-serif" font-size="13" fill="#94a3b8">The energy available to perform useful work.</text> <!-- Gibbs Equation Graphic --> <rect x="485" y="205" width="220" height="60" rx="8" fill="#00000030"/> <text x="505" y="242" font-family="serif" font-style="italic" font-size="24" fill="#f8fafc">ΔG = ΔH - TΔS</text> <!-- Spontaneity Icon --> <g transform="translate(730, 205)"> <circle cx="50" cy="45" r="35" fill="none" stroke="#e879f9" stroke-width="2" stroke-dasharray="4 2"/> <path d="M 50 20 L 50 70 M 35 55 L 50 70 L 65 55" fill="none" stroke="#f8fafc" stroke-width="3"/> <text x="50" y="105" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#94a3b8">Spontaneous if ΔG &lt; 0</text> </g> <!-- Bottom Section: Spontaneity Matrix --> <rect x="40" y="350" width="820" height="180" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="65" y="380" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">THE SPONTANEITY MATRIX</text> <!-- Matrix Grid --> <g transform="translate(65, 400)"> <!-- Headers --> <text x="150" y="0" font-family="sans-serif" font-size="12" fill="#94a3b8" text-anchor="middle">+ ΔS (Dispersal)</text> <text x="350" y="0" font-family="sans-serif" font-size="12" fill="#94a3b8" text-anchor="middle">- ΔS (Order)</text> <text x="-10" y="45" font-family="sans-serif" font-size="12" fill="#94a3b8" text-anchor="end" transform="rotate(-90, -10, 45)">- ΔH (Exo)</text> <text x="-10" y="115" font-family="sans-serif" font-size="12" fill="#94a3b8" text-anchor="end" transform="rotate(-90, -10, 115)">+ ΔH (Endo)</text> <!-- Cells --> <rect x="50" y="15" width="200" height="45" rx="6" fill="#10b98120" stroke="#10b98140"/> <text x="150" y="43" text-anchor="middle" font-family="sans-serif" font-size="12" font-weight="bold" fill="#10b981">Always Spontaneous</text> <rect x="255" y="15" width="200" height="45" rx="6" fill="#38bdf820" stroke="#38bdf840"/> <text x="355" y="43" text-anchor="middle" font-family="sans-serif" font-size="12" font-weight="bold" fill="#38bdf8">Spontaneous at LOW T</text> <rect x="50" y="65" width="200" height="45" rx="6" fill="#f59e0b20" stroke="#f59e0b40"/> <text x="150" y="93" text-anchor="middle" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f59e0b">Spontaneous at HIGH T</text> <rect x="255" y="65" width="200" height="45" rx="6" fill="#ef444420" stroke="#ef444440"/> <text x="355" y="93" text-anchor="middle" font-family="sans-serif" font-size="12" font-weight="bold" fill="#ef4444">Never Spontaneous</text> <!-- Electrochemistry Bridge --> <g transform="translate(500, 0)"> <rect width="270" height="110" rx="12" fill="#ffffff05" stroke="#38bdf830"/> <text x="135" y="25" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="14" fill="#38bdf8">ELECTROCHEMICAL BRIDGE</text> <text x="135" y="55" text-anchor="middle" font-family="serif" font-style="italic" font-size="20" fill="#f8fafc">ΔG° = -nFE°<tspan baseline-shift="sub" font-size="12">cell</tspan></text> <text x="135" y="85" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#94a3b8">Linking Potential (E) to Free Energy (G)</text> <path d="M 20 95 L 250 95" stroke="#38bdf8" stroke-width="1" stroke-dasharray="2 2"/> </g> </g> <!-- Footer Accents --> <rect x="40" y="545" width="820" height="4" rx="2" fill="#38bdf8" fill-opacity="0.2"/> <circle cx="450" cy="547" r="6" fill="#38bdf8"/> </svg>Thermodynamics and Electrochemistry image 1Thermodynamics and Electrochemistry - Chemistry 2e - image 1https://www.getlykke.com/explore/public/chemistry-2e-61aaa542-40da-45df-8ae5-3e14c99880b6/media/thermodynamics-and-electrochemistry/svg/1Thermodynamics and Electrochemistry diagram 1Thermodynamics and Electrochemistry - Chemistry 2e - diagram 1https://www.getlykke.com/explore/public/chemistry-2e-61aaa542-40da-45df-8ae5-3e14c99880b6/media/thermodynamics-and-electrochemistry/svg/2Thermodynamics and Electrochemistry diagram 2Thermodynamics and Electrochemistry - Chemistry 2e - diagram 2https://www.getlykke.com/explore/public/high-school-biology-8b172479-056c-47eb-a63e-bb6580c268642026-04-20T04:41:21.000Z<svg viewBox="0 0 900 560" xmlns="http://www.w3.org/2000/svg"> <defs> <linearGradient id="bg-grad" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accent-grad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg-grad)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="40" y="50" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">THE SCIENTIFIC METHOD</text> <text x="40" y="75" font-family="sans-serif" font-weight="400" font-size="14" fill="#38bdf8" letter-spacing="2">EPISTEMOLOGY &amp; EXPERIMENTAL DESIGN</text> <line x1="40" y1="90" x2="860" y2="90" stroke="url(#accent-grad)" stroke-width="2" opacity="0.5"/> <!-- Left Panel: The Iterative Cycle --> <rect x="40" y="110" width="400" height="420" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">The Cycle of Falsification</text> <!-- Workflow Steps --> <g transform="translate(60, 165)"> <!-- Step 1 --> <circle cx="20" cy="20" r="18" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <text x="20" y="25" font-family="sans-serif" font-size="14" font-weight="bold" fill="#38bdf8" text-anchor="middle">1</text> <text x="50" y="15" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Observation</text> <text x="50" y="32" font-family="sans-serif" font-size="11" fill="#94a3b8">Literature review &amp; phenomenon ID</text> <!-- Step 2 --> <g transform="translate(0, 60)"> <circle cx="20" cy="20" r="18" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <text x="20" y="25" font-family="sans-serif" font-size="14" font-weight="bold" fill="#38bdf8" text-anchor="middle">2</text> <text x="50" y="15" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Hypothesis</text> <text x="50" y="32" font-family="sans-serif" font-size="11" fill="#94a3b8">Testable &amp; predictive statement</text> </g> <!-- Step 3 --> <g transform="translate(0, 120)"> <circle cx="20" cy="20" r="18" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <text x="20" y="25" font-family="sans-serif" font-size="14" font-weight="bold" fill="#38bdf8" text-anchor="middle">3</text> <text x="50" y="15" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Experimental Design</text> <text x="50" y="32" font-family="sans-serif" font-size="11" fill="#94a3b8">Isolation of variables &amp; controls</text> </g> <!-- Step 4 --> <g transform="translate(0, 180)"> <circle cx="20" cy="20" r="18" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <text x="20" y="25" font-family="sans-serif" font-size="14" font-weight="bold" fill="#38bdf8" text-anchor="middle">4</text> <text x="50" y="15" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Data Acquisition</text> <text x="50" y="32" font-family="sans-serif" font-size="11" fill="#94a3b8">Systematic empirical collection</text> </g> <!-- Step 5 --> <g transform="translate(0, 240)"> <circle cx="20" cy="20" r="18" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <text x="20" y="25" font-family="sans-serif" font-size="14" font-weight="bold" fill="#38bdf8" text-anchor="middle">5</text> <text x="50" y="15" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Statistical Analysis</text> <text x="50" y="32" font-family="sans-serif" font-size="11" fill="#94a3b8">P-value &amp; hypothesis testing</text> </g> <!-- Step 6 --> <g transform="translate(0, 300)"> <circle cx="20" cy="20" r="18" fill="#e879f920" stroke="#e879f9" stroke-width="2"/> <text x="20" y="25" font-family="sans-serif" font-size="14" font-weight="bold" fill="#e879f9" text-anchor="middle">6</text> <text x="50" y="15" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Refinement</text> <text x="50" y="32" font-family="sans-serif" font-size="11" fill="#94a3b8">Updating models &amp; re-testing</text> </g> <!-- Connecting Line --> <line x1="20" y1="38" x2="20" y2="60" stroke="#ffffff20" stroke-width="2"/> <line x1="20" y1="98" x2="20" y2="120" stroke="#ffffff20" stroke-width="2"/> <line x1="20" y1="158" x2="20" y2="180" stroke="#ffffff20" stroke-width="2"/> <line x1="20" y1="218" x2="20" y2="240" stroke="#ffffff20" stroke-width="2"/> <line x1="20" y1="278" x2="20" y2="300" stroke="#ffffff20" stroke-width="2"/> <path d="M 20 338 Q 20 360 -10 360 L -20 360 Q -40 360 -40 180 Q -40 0 -10 0 L 2 0" fill="none" stroke="#e879f940" stroke-width="2" stroke-dasharray="4 2"/> </g> <!-- Right Top Panel: Experimental Design --> <rect x="460" y="110" width="400" height="200" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="480" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">The Architecture of Evidence</text> <g transform="translate(480, 160)"> <!-- IV --> <rect width="360" height="35" rx="6" fill="#38bdf815"/> <text x="10" y="22" font-family="sans-serif" font-weight="bold" font-size="12" fill="#38bdf8">INDEPENDENT VARIABLE</text> <text x="160" y="22" font-family="sans-serif" font-size="12" fill="#f8fafc">The Manipulated "Cause"</text> <!-- DV --> <rect y="45" width="360" height="35" rx="6" fill="#e879f915"/> <text x="10" y="67" font-family="sans-serif" font-weight="bold" font-size="12" fill="#e879f9">DEPENDENT VARIABLE</text> <text x="160" y="67" font-family="sans-serif" font-size="12" fill="#f8fafc">The Measured "Effect"</text> <!-- Controls --> <rect y="90" width="360" height="35" rx="6" fill="#ffffff10"/> <text x="10" y="112" font-family="sans-serif" font-weight="bold" font-size="12" fill="#94a3b8">CONTROLLED VARS</text> <text x="160" y="112" font-family="sans-serif" font-size="12" fill="#f8fafc">Constants to minimize noise</text> <!-- Confounding --> <path d="M 365 20 Q 390 60 365 100" fill="none" stroke="#ef4444" stroke-width="1.5" stroke-dasharray="3 3"/> <text x="310" y="142" font-family="sans-serif" font-size="10" fill="#ef4444" font-style="italic">Confounding Variable (Bias)</text> </g> <!-- Right Bottom Panel: Statistical Inference --> <rect x="460" y="330" width="400" height="200" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="480" y="360" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">Statistical Inference</text> <!-- Bell Curve Visual --> <g transform="translate(680, 420)"> <path d="M -80 60 Q -40 60 -20 30 T 0 0 T 20 30 T 80 60" fill="none" stroke="#94a3b8" stroke-width="2"/> <path d="M 30 60 Q 50 60 60 45 T 70 20 T 80 45 T 100 60" fill="#e879f930" stroke="#e879f9" stroke-width="2"/> <line x1="-90" y1="60" x2="110" y2="60" stroke="#ffffff40" stroke-width="1"/> <text x="-50" y="75" font-family="sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">Null (H₀)</text> <text x="70" y="75" font-family="sans-serif" font-size="10" fill="#e879f9" text-anchor="middle">Alt (Ha)</text> </g> <g transform="translate(480, 385)"> <text y="0" font-family="sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">The P-Value:</text> <text y="18" font-family="sans-serif" font-size="12" fill="#94a3b8">Probability of observing results</text> <text y="34" font-family="sans-serif" font-size="12" fill="#94a3b8">if the Null Hypothesis is true.</text> <rect y="50" width="120" height="40" rx="8" fill="#38bdf820" stroke="#38bdf840"/> <text x="60" y="70" font-family="sans-serif" font-weight="bold" font-size="16" fill="#38bdf8" text-anchor="middle">p &lt; 0.05</text> <text x="60" y="85" font-family="sans-serif" font-size="9" fill="#38bdf8" text-anchor="middle">SIGNIFICANT</text> <text x="140" y="65" font-family="sans-serif" font-size="11" fill="#f8fafc" font-style="italic">"We fail to reject the null,"</text> <text x="140" y="80" font-family="sans-serif" font-size="11" fill="#f8fafc" font-style="italic">increasing confidence in Ha.</text> </g> <!-- Decorative Elements --> <circle cx="850" cy="50" r="20" fill="none" stroke="#ffffff10" stroke-width="4"/> <circle cx="850" cy="50" r="10" fill="#f59e0b" opacity="0.3"/> <path d="M 820 520 L 840 540 M 840 520 L 820 540" stroke="#ffffff20" stroke-width="2"/> </svg>The Scientific Method and Experimental Design image 1The Scientific Method and Experimental Design - High School Biology - image 1https://www.getlykke.com/explore/public/high-school-biology-8b172479-056c-47eb-a63e-bb6580c26864/media/scientific-method/svg/1The Scientific Method and Experimental Design diagram 1The Scientific Method and Experimental Design - High School Biology - diagram 1https://www.getlykke.com/explore/public/high-school-biology-8b172479-056c-47eb-a63e-bb6580c26864/media/scientific-method/svg/2The Scientific Method and Experimental Design diagram 2The Scientific Method and Experimental Design - High School Biology - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="phGradient" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#ef4444"/> <stop offset="50%" stop-color="#f8fafc"/> <stop offset="100%" stop-color="#8b5cf6"/> </linearGradient> <pattern id="dotPattern" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="blur"/> <feComposite in="SourceGraphic" in2="blur" operator="over"/> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dotPattern)"/> <!-- Header --> <text x="450" y="50" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-weight="800" font-size="32" letter-spacing="1">CHEMICAL FOUNDATIONS: WATER &amp; pH</text> <text x="450" y="75" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="14" font-style="italic">The Matrix of Biological Systems and Aqueous Chemistry</text> <line x1="300" y1="90" x2="600" y2="90" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 2"/> <!-- Panel 1: Molecular Architecture --> <rect x="30" y="110" width="260" height="300" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="160" y="140" text-anchor="middle" fill="#38bdf8" font-family="sans-serif" font-weight="bold" font-size="18">MOLECULAR GEOMETRY</text> <!-- Water Molecule Diagram --> <g transform="translate(160, 230)"> <!-- Oxygen --> <circle r="35" fill="#38bdf8" fill-opacity="0.2" stroke="#38bdf8" stroke-width="2"/> <text text-anchor="middle" dy="7" fill="#38bdf8" font-family="sans-serif" font-weight="bold" font-size="20">O</text> <text x="0" y="-45" text-anchor="middle" fill="#f59e0b" font-family="sans-serif" font-size="12" font-weight="bold">δ-</text> <!-- Hydrogens --> <g transform="rotate(52.25)"> <line x1="0" y1="0" x2="70" y2="0" stroke="#f8fafc" stroke-width="3"/> <circle cx="70" cy="0" r="18" fill="#f8fafc" fill-opacity="0.1" stroke="#f8fafc" stroke-width="2"/> <text x="70" y="5" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="14">H</text> <text x="95" y="0" text-anchor="middle" fill="#38bdf8" font-family="sans-serif" font-size="12" font-weight="bold">δ+</text> </g> <g transform="rotate(-52.25)"> <line x1="0" y1="0" x2="70" y2="0" stroke="#f8fafc" stroke-width="3"/> <circle cx="70" cy="0" r="18" fill="#f8fafc" fill-opacity="0.1" stroke="#f8fafc" stroke-width="2"/> <text x="70" y="5" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="14">H</text> <text x="95" y="0" text-anchor="middle" fill="#38bdf8" font-family="sans-serif" font-size="12" font-weight="bold">δ+</text> </g> <!-- Angle Label --> <path d="M 30 -25 A 40 40 0 0 1 30 25" fill="none" stroke="#94a3b8" stroke-width="1" stroke-dasharray="2 2"/> <text x="50" y="5" fill="#94a3b8" font-family="sans-serif" font-size="10">104.5°</text> </g> <text x="160" y="360" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="13">Polar Covalent Bonds</text> <text x="160" y="380" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="11" width="200">Oxygen's high electronegativity</text> <text x="160" y="395" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="11">creates a permanent dipole.</text> <!-- Panel 2: Hydrogen Bonding --> <rect x="310" y="110" width="280" height="300" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="450" y="140" text-anchor="middle" fill="#e879f9" font-family="sans-serif" font-weight="bold" font-size="18">HYDROGEN BONDING</text> <!-- H-Bond Diagram --> <g transform="translate(450, 230)"> <!-- Molecule 1 --> <g transform="translate(-40, -30) scale(0.6)"> <circle r="35" fill="#38bdf8" fill-opacity="0.2" stroke="#38bdf8" stroke-width="2"/> <g transform="rotate(52.25)"><line x1="0" y1="0" x2="70" y2="0" stroke="#f8fafc" stroke-width="3"/><circle cx="70" cy="0" r="18" fill="#f8fafc" fill-opacity="0.1" stroke="#f8fafc" stroke-width="2"/></g> <g transform="rotate(-52.25)"><line x1="0" y1="0" x2="70" y2="0" stroke="#f8fafc" stroke-width="3"/><circle cx="70" cy="0" r="18" fill="#f8fafc" fill-opacity="0.1" stroke="#f8fafc" stroke-width="2"/></g> </g> <!-- Molecule 2 --> <g transform="translate(60, 40) scale(0.6) rotate(180)"> <circle r="35" fill="#38bdf8" fill-opacity="0.2" stroke="#38bdf8" stroke-width="2"/> <g transform="rotate(52.25)"><line x1="0" y1="0" x2="70" y2="0" stroke="#f8fafc" stroke-width="3"/><circle cx="70" cy="0" r="18" fill="#f8fafc" fill-opacity="0.1" stroke="#f8fafc" stroke-width="2"/></g> <g transform="rotate(-52.25)"><line x1="0" y1="0" x2="70" y2="0" stroke="#f8fafc" stroke-width="3"/><circle cx="70" cy="0" r="18" fill="#f8fafc" fill-opacity="0.1" stroke="#f8fafc" stroke-width="2"/></g> </g> <!-- The Bond --> <line x1="2" y1="2" x2="18" y2="18" stroke="#e879f9" stroke-width="4" stroke-dasharray="6 4" filter="url(#glow)"/> <text x="45" y="5" fill="#e879f9" font-family="sans-serif" font-size="11" font-weight="bold">~20 kJ/mol</text> </g> <text x="450" y="340" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="bold">"Flickering Clusters"</text> <text x="450" y="360" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="11">Bonds break and reform every few ps.</text> <g transform="translate(340, 375)"> <rect width="220" height="24" rx="4" fill="#e879f920"/> <text x="110" y="16" text-anchor="middle" fill="#e879f9" font-family="sans-serif" font-size="10" font-weight="bold">COHESION • ADHESION • SURFACE TENSION</text> </g> <!-- Panel 3: Density Anomaly --> <rect x="610" y="110" width="260" height="300" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="740" y="140" text-anchor="middle" fill="#f59e0b" font-family="sans-serif" font-weight="bold" font-size="18">DENSITY ANOMALY</text> <!-- Liquid vs Ice --> <g transform="translate(650, 180)"> <rect width="80" height="80" rx="8" fill="#38bdf810" stroke="#38bdf840"/> <text x="40" y="-10" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10">LIQUID (4°C)</text> <circle cx="20" cy="20" r="4" fill="#38bdf8"/> <circle cx="50" cy="25" r="4" fill="#38bdf8"/> <circle cx="30" cy="50" r="4" fill="#38bdf8"/> <circle cx="60" cy="55" r="4" fill="#38bdf8"/> <circle cx="40" cy="70" r="4" fill="#38bdf8"/> <circle cx="15" cy="45" r="4" fill="#38bdf8"/> <text x="40" y="95" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="10">Disordered/Dense</text> </g> <g transform="translate(750, 180)"> <rect width="80" height="80" rx="8" fill="#38bdf810" stroke="#38bdf840"/> <text x="40" y="-10" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10">ICE (0°C)</text> <!-- Hexagonal lattice dots --> <circle cx="40" cy="15" r="4" fill="#f8fafc"/> <circle cx="20" cy="30" r="4" fill="#f8fafc"/> <circle cx="60" cy="30" r="4" fill="#f8fafc"/> <circle cx="20" cy="55" r="4" fill="#f8fafc"/> <circle cx="60" cy="55" r="4" fill="#f8fafc"/> <circle cx="40" cy="70" r="4" fill="#f8fafc"/> <path d="M40 15 L20 30 L20 55 L40 70 L60 55 L60 30 Z" fill="none" stroke="#f8fafc40" stroke-width="1"/> <text x="40" y="95" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="10">Crystal Lattice</text> </g> <text x="740" y="320" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="12" font-weight="bold">Ice is ~9% less dense</text> <text x="740" y="340" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="11" width="220">Prevents lakes from freezing</text> <text x="740" y="355" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="11">solid, insulating life below.</text> <!-- pH Scale Footer --> <g transform="translate(50, 440)"> <rect width="800" height="80" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="400" y="25" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-weight="bold" font-size="16">THE pH 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y="72" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10" font-style="italic">pH = -log₁₀[H⁺] — Each unit represents a 10x change in acidity.</text> </g> <!-- Decorative Corner Accents --> <path d="M 20 20 L 60 20 L 20 60 Z" fill="#38bdf820"/> <path d="M 880 540 L 840 540 L 880 500 Z" fill="#e879f920"/> </svg>Chemical Foundations: Water and pH image 1Chemical Foundations: Water and pH - High School Biology - image 1https://www.getlykke.com/explore/public/high-school-biology-8b172479-056c-47eb-a63e-bb6580c26864/media/chemical-foundations-water/svg/1Chemical Foundations: Water and pH diagram 1Chemical Foundations: Water and pH - High School Biology - diagram 1https://www.getlykke.com/explore/public/high-school-biology-8b172479-056c-47eb-a63e-bb6580c26864/media/chemical-foundations-water/svg/2Chemical Foundations: Water and pH diagram 2Chemical Foundations: Water and pH - High School Biology - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> <pattern id="dotGrid" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10" /> </pattern> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dotGrid)"/> <!-- Header Section --> <text x="40" y="60" font-family="Arial, sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="-0.5">BIOLOGICAL MACROMOLECULES</text> <text x="40" y="85" font-family="Arial, sans-serif" font-size="14" fill="#94a3b8" font-weight="400">THE ARCHITECTURE OF LIFE: POLYMERS, METABOLISM, AND MOLECULAR MECHANICS</text> <line x1="40" y1="105" x2="860" y2="105" stroke="#ffffff20" stroke-width="1"/> <!-- Left Panel: Metabolism & Chemical Engine --> <rect x="40" y="125" width="260" height="395" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="155" font-family="Arial, sans-serif" font-weight="700" font-size="18" fill="#38bdf8">THE CHEMICAL ENGINE</text> <!-- Anabolism Card --> <rect x="55" y="175" width="230" height="95" rx="10" fill="#ffffff0a"/> <text x="70" y="195" font-family="Arial, sans-serif" font-weight="700" font-size="13" fill="#f8fafc">ANABOLISM</text> <text x="70" y="212" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Synthesis of complex molecules.</text> <text x="70" y="227" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Endergonic (Requires Energy).</text> <path d="M70 245 L100 245" stroke="#38bdf8" stroke-width="2" fill="none"/> <circle cx="110" cy="245" r="4" fill="#38bdf8"/> <circle cx="122" cy="245" r="4" fill="#38bdf8"/> <text x="140" y="250" font-family="Arial, sans-serif" font-size="10" fill="#38bdf8" font-weight="bold">+ ATP</text> <!-- Catabolism Card --> <rect x="55" y="285" width="230" height="95" rx="10" fill="#ffffff0a"/> <text x="70" y="305" font-family="Arial, sans-serif" font-weight="700" font-size="13" fill="#f59e0b">CATABOLISM</text> <text x="70" y="322" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Breakdown of complex molecules.</text> <text x="70" y="337" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Exergonic (Releases Energy).</text> <circle cx="74" cy="355" r="4" fill="#f59e0b"/> <path d="M85 355 L115 355" stroke="#f59e0b" stroke-width="2" fill="none" stroke-dasharray="2 2"/> <text x="125" y="360" font-family="Arial, sans-serif" font-size="10" fill="#f59e0b" font-weight="bold">ENERGY RELEASE</text> <!-- Thermodynamics Note --> <text x="60" y="415" font-family="Arial, sans-serif" font-weight="700" font-size="12" fill="#f8fafc">1st LAW OF BIOENERGETICS</text> <text x="60" y="435" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8" font-style="italic">Energy cannot be created or</text> <text x="60" y="450" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8" font-style="italic">destroyed, only transformed.</text> <text x="60" y="475" font-family="Arial, sans-serif" font-weight="bold" font-size="14" fill="#e879f9">ΔG = ΔH - TΔS</text> <!-- Right Section: The Four Pillars Grid --> <text x="320" y="155" font-family="Arial, sans-serif" font-weight="700" font-size="18" fill="#f8fafc">THE FOUR PRIMARY CLASSES</text> <!-- 1. Carbohydrates --> <rect x="320" y="175" width="260" height="160" rx="16" fill="#f59e0b15" stroke="#f59e0b30"/> <text x="340" y="205" font-family="Arial, sans-serif" font-weight="700" font-size="16" fill="#f59e0b">CARBOHYDRATES</text> <text x="340" y="225" font-family="Arial, sans-serif" font-size="11" fill="#cbd5e1">Fuel &amp; Structural Scaffolding</text> <path d="M340 245 L355 235 L370 235 L380 245 L370 255 L355 255 Z" fill="none" stroke="#f59e0b" stroke-width="1.5"/> <path d="M380 245 L395 235 L410 235 L420 245 L410 255 L395 255 Z" fill="none" stroke="#f59e0b" stroke-width="1.5"/> <text x="340" y="280" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Formula: (CH₂O)ₙ</text> <text x="340" y="295" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Linkage: Glycosidic Bond</text> <text x="340" y="315" font-family="Arial, sans-serif" font-size="10" fill="#f59e0b" font-weight="bold">STARCH • GLYCOGEN • CELLULOSE</text> <!-- 2. Lipids --> <rect x="600" y="175" width="260" height="160" rx="16" fill="#10b98115" stroke="#10b98130"/> <text x="620" y="205" font-family="Arial, sans-serif" font-weight="700" font-size="16" fill="#10b981">LIPIDS</text> <text x="620" y="225" font-family="Arial, sans-serif" font-size="11" fill="#cbd5e1">Energy Storage &amp; Membranes</text> <path d="M620 240 L640 240 M620 250 L645 250 M620 260 L640 260" stroke="#10b981" stroke-width="2"/> <rect x="612" y="235" width="4" height="30" fill="#10b981"/> <text x="620" y="280" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Hydrophobic Hydrocarbons</text> <text x="620" y="295" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Linkage: Ester Linkage</text> <text x="620" y="315" font-family="Arial, sans-serif" font-size="10" fill="#10b981" font-weight="bold">FATS • PHOSPHOLIPIDS • STEROIDS</text> <!-- 3. Proteins --> <rect x="320" y="360" width="260" height="160" rx="16" fill="#38bdf815" stroke="#38bdf830"/> <text x="340" y="390" font-family="Arial, sans-serif" font-weight="700" font-size="16" fill="#38bdf8">PROTEINS</text> <text x="340" y="410" font-family="Arial, sans-serif" font-size="11" fill="#cbd5e1">Molecular Machines &amp; Catalysts</text> <path d="M340 435 Q350 420 360 435 T380 435 T400 435" fill="none" stroke="#38bdf8" stroke-width="2"/> <text x="340" y="465" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Monomer: Amino Acids</text> <text x="340" y="480" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Linkage: Peptide Bond</text> <text x="340" y="500" font-family="Arial, sans-serif" font-size="10" fill="#38bdf8" font-weight="bold">ENZYMES • ANTIBODIES • KERATIN</text> <!-- 4. 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stroke="#ffffff20" stroke-width="2"/> <path d="M440 335 L460 355 M460 335 L440 355" stroke="#ffffff40" stroke-width="2"/> <text x="450" y="348" font-family="Arial, sans-serif" font-size="8" fill="#94a3b8" text-anchor="middle" font-weight="bold">H₂O</text> <!-- Labels for the central process --> <text x="450" y="300" font-family="Arial, sans-serif" font-size="10" fill="#f8fafc" text-anchor="middle" font-weight="bold">DEHYDRATION</text> <text x="450" y="395" font-family="Arial, sans-serif" font-size="10" fill="#f8fafc" text-anchor="middle" font-weight="bold">HYDROLYSIS</text> </svg>Biological Macromolecules image 1Biological Macromolecules - High School Biology - image 1https://www.getlykke.com/explore/public/high-school-biology-8b172479-056c-47eb-a63e-bb6580c26864/media/biological-macromolecules/svg/1Biological Macromolecules diagram 1Biological Macromolecules - High School Biology - diagram 1https://www.getlykke.com/explore/public/high-school-biology-8b172479-056c-47eb-a63e-bb6580c26864/media/biological-macromolecules/svg/2Biological Macromolecules diagram 2Biological Macromolecules - High School Biology - diagram 2https://www.getlykke.com/explore/public/high-school-biology-8b172479-056c-47eb-a63e-bb6580c26864/media/biological-macromolecules/svg/3Biological Macromolecules diagram 3Biological Macromolecules - High School Biology - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="450" y="50" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="32" font-weight="bold" letter-spacing="1">CELL THEORY &amp; CLASSIFICATION</text> <path d="M 300 65 L 600 65" stroke="#38bdf8" stroke-width="2" stroke-linecap="round" opacity="0.6"/> <text x="450" y="85" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="14" font-weight="300" letter-spacing="2">THE ARCHITECTURE OF BIOLOGICAL EXISTENCE</text> <!-- Section 1: Timeline (Left) --> <rect x="30" y="110" width="260" height="420" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="50" y="140" fill="#f59e0b" font-family="sans-serif" font-size="18" font-weight="bold">CHRONOLOGY</text> <g transform="translate(50, 165)"> <!-- Timeline Line --> <line x1="10" y1="0" x2="10" y2="330" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 4"/> <!-- 1665 --> <circle cx="10" cy="10" r="5" fill="#38bdf8"/> <text x="25" y="15" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="bold">1665 · ROBERT HOOKE</text> <text x="25" y="32" fill="#94a3b8" font-family="sans-serif" font-size="11">Coined "cell" from cork observation.</text> <!-- 1674 --> <circle cx="10" cy="80" r="5" fill="#38bdf8"/> <text x="25" y="85" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="bold">1674 · LEEUWENHOEK</text> <text x="25" y="102" fill="#94a3b8" font-family="sans-serif" font-size="11">First view of living "animalcules".</text> <!-- 1839 --> <circle cx="10" cy="150" r="5" fill="#38bdf8"/> <text x="25" y="155" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="bold">1839 · SCHLEIDEN/SCHWANN</text> <text x="25" y="172" fill="#94a3b8" font-family="sans-serif" font-size="11">Unified plant and animal theory.</text> <!-- 1855 --> <circle cx="10" cy="220" r="5" fill="#38bdf8"/> <text x="25" y="225" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="bold">1855 · RUDOLF VIRCHOW</text> <text x="25" y="242" fill="#94a3b8" font-family="sans-serif" font-size="11">"Omnis cellula e cellula" (Biogenesis).</text> <!-- Modern --> <circle cx="10" cy="290" r="5" fill="#e879f9"/> <text x="25" y="295" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="bold">MODERN SYNTHESIS</text> <text x="25" y="312" fill="#94a3b8" font-family="sans-serif" font-size="11">DNA, Energy flow, and Chemistry.</text> </g> <!-- Section 2: The Three Tenets (Center) --> <text x="450" y="130" text-anchor="middle" fill="#e879f9" font-family="sans-serif" font-size="18" font-weight="bold">THE CLASSICAL TENETS</text> <g transform="translate(310, 150)"> <!-- Tenet 1 --> <rect width="280" height="80" rx="12" fill="#ffffff10" stroke="#ffffff10"/> <circle cx="30" cy="40" r="15" fill="#38bdf820" stroke="#38bdf8" stroke-width="1"/> <text x="30" y="45" text-anchor="middle" fill="#38bdf8" font-family="sans-serif" font-size="16" font-weight="bold">1</text> <text x="60" y="35" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="bold">BASIC UNIT OF LIFE</text> <text x="60" y="55" fill="#94a3b8" font-family="sans-serif" font-size="11">Smallest scale where life manifests.</text> <!-- Tenet 2 --> <rect y="95" width="280" height="80" rx="12" fill="#ffffff10" stroke="#ffffff10"/> <circle cx="30" cy="135" r="15" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1"/> <text x="30" y="140" text-anchor="middle" fill="#f59e0b" font-family="sans-serif" font-size="16" font-weight="bold">2</text> <text x="60" y="130" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="bold">ALL ORGANISMS ARE CELLULAR</text> <text x="60" y="150" fill="#94a3b8" font-family="sans-serif" font-size="11">From bacteria to multicellular giants.</text> <!-- Tenet 3 --> <rect y="190" width="280" height="80" rx="12" fill="#ffffff10" stroke="#ffffff10"/> <circle cx="30" cy="230" r="15" fill="#e879f920" stroke="#e879f9" stroke-width="1"/> <text x="30" y="235" text-anchor="middle" fill="#e879f9" font-family="sans-serif" font-size="16" font-weight="bold">3</text> <text x="60" y="225" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="bold">CELLULAR BIOGENESIS</text> <text x="60" y="245" fill="#94a3b8" font-family="sans-serif" font-size="11">All cells arise from pre-existing cells.</text> </g> <!-- Section 3: Prokaryotic Architecture (Right) --> <rect x="610" y="110" width="260" height="420" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="630" y="140" fill="#38bdf8" font-family="sans-serif" font-size="18" font-weight="bold">PROKARYOTIC DESIGN</text> <!-- Cell Illustration --> <g transform="translate(640, 160)"> <rect width="200" height="80" rx="40" fill="#1e293b" stroke="#38bdf8" stroke-width="3"/> <!-- Flagellum --> <path d="M 0 40 Q -30 20 -40 40 T -80 40" fill="none" stroke="#38bdf8" stroke-width="2" opacity="0.5"/> <!-- Nucleoid --> <path d="M 60 40 Q 80 20 100 40 T 140 40" fill="none" stroke="#f59e0b" stroke-width="2" filter="url(#glow)"/> <text x="100" y="30" text-anchor="middle" fill="#f59e0b" font-family="sans-serif" font-size="10" font-weight="bold">NUCLEOID</text> <!-- Ribosomes --> <circle cx="50" cy="55" r="1.5" fill="#f8fafc"/> <circle cx="150" cy="50" r="1.5" fill="#f8fafc"/> <circle cx="120" cy="60" r="1.5" fill="#f8fafc"/> <text x="100" y="105" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="11" font-style="italic">Architecture of Efficiency (0.1–5.0 μm)</text> </g> <!-- Math Box --> <g transform="translate(630, 290)"> <rect width="220" height="130" rx="12" fill="#00000030"/> <text x="110" y="25" text-anchor="middle" fill="#f8fafc" font-family="serif" font-size="14" font-style="italic">The Physics of Scale</text> <text x="110" y="55" text-anchor="middle" fill="#38bdf8" font-family="serif" font-size="20">SA:V = 3 / r</text> <text x="20" y="85" fill="#94a3b8" font-family="sans-serif" font-size="11">As radius (r) increases, the ratio</text> <text x="20" y="100" fill="#94a3b8" font-family="sans-serif" font-size="11">decreases, limiting diffusion and</text> <text x="20" y="115" fill="#94a3b8" font-family="sans-serif" font-size="11">metabolic exchange efficiency.</text> </g> <!-- Footer Info --> <rect x="310" y="440" width="280" height="90" rx="12" fill="#f59e0b10" stroke="#f59e0b30"/> <text x="450" y="465" text-anchor="middle" fill="#f59e0b" font-family="sans-serif" font-size="12" font-weight="bold">KEY DIFFERENTIATORS</text> <text x="330" y="485" fill="#f8fafc" font-family="sans-serif" font-size="11">PROKARYOTES: 70S Ribosomes, No Nucleus</text> <text x="330" y="505" fill="#f8fafc" font-family="sans-serif" font-size="11">EUKARYOTES: 80S Ribosomes, Bound Nucleus</text> <text x="330" y="520" fill="#94a3b8" font-family="sans-serif" font-size="10">Peptidoglycan cell walls (Bacteria only)</text> </svg>Cell Theory and Cellular Classification image 1Cell Theory and Cellular Classification - High School Biology - image 1https://www.getlykke.com/explore/public/high-school-biology-8b172479-056c-47eb-a63e-bb6580c26864/media/cell-theory-and-types/svg/1Cell Theory and Cellular Classification diagram 1Cell Theory and Cellular Classification - High School Biology - diagram 1https://www.getlykke.com/explore/public/high-school-biology-8b172479-056c-47eb-a63e-bb6580c26864/media/cell-theory-and-types/svg/2Cell Theory and Cellular Classification diagram 2Cell Theory and Cellular Classification - High School Biology - diagram 2https://www.getlykke.com/explore/public/high-school-biology-8b172479-056c-47eb-a63e-bb6580c26864/media/cell-theory-and-types/svg/3Cell Theory and Cellular Classification diagram 3Cell Theory and Cellular Classification - High School Biology - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop 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500 240 Q 520 200 560 210 Q 600 220 580 260 Z" fill="#f59e0b40" stroke="#f59e0b" stroke-width="2"/> <!-- 60S --> <path d="M 505 265 Q 530 250 555 265 Q 545 290 515 285 Z" fill="#f59e0b60" stroke="#f59e0b" stroke-width="2"/> <!-- 40S --> <path d="M 480 255 L 600 255" stroke="#38bdf8" stroke-width="3" stroke-linecap="round" stroke-dasharray="1 6"/> <!-- mRNA --> <text x="620" y="215" font-family="Inter, sans-serif" font-weight="700" font-size="14" fill="#f8fafc">80S Eukaryotic Unit</text> <text x="620" y="235" font-family="Inter, sans-serif" font-size="12" fill="#94a3b8">Large Subunit: 60S (rRNA + Proteins)</text> <text x="620" y="250" font-family="Inter, sans-serif" font-size="12" fill="#94a3b8">Small Subunit: 40S</text> <text x="620" y="275" font-family="Inter, sans-serif" font-weight="600" font-size="12" fill="#f59e0b">Rate: 2–5 amino acids / sec</text> <!-- Right Panel Bottom: Key Stats --> <rect x="460" y="335" width="400" height="185" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="480" y="370" font-family="Inter, sans-serif" font-weight="700" font-size="18" fill="#38bdf8">SYSTEM CONSTRAINTS</text> <!-- Stats Grid --> <g transform="translate(480, 390)"> <rect width="180" height="50" rx="8" fill="#ffffff05"/> <text x="10" y="20" font-family="Inter, sans-serif" font-size="10" fill="#94a3b8" text-transform="uppercase">Diffusion Limit</text> <text x="10" y="40" font-family="Inter, sans-serif" font-weight="800" font-size="20" fill="#f8fafc">40 kDa</text> <rect x="195" width="180" height="50" rx="8" fill="#ffffff05"/> <text x="205" y="20" font-family="Inter, sans-serif" font-size="10" fill="#94a3b8" text-transform="uppercase">Translation</text> <text x="205" y="40" font-family="Inter, sans-serif" font-weight="800" font-size="20" fill="#f8fafc">5' → 3'</text> <rect y="65" width="375" height="50" rx="8" fill="#ffffff05"/> <text x="10" y="85" font-family="Inter, sans-serif" font-size="10" fill="#94a3b8" text-transform="uppercase">Compartmentalization 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1https://www.getlykke.com/explore/public/high-school-biology-8b172479-056c-47eb-a63e-bb6580c26864/media/eukaryotic-cell-structures/svg/2Eukaryotic Cell Structures and Organelles diagram 2Eukaryotic Cell Structures and Organelles - High School Biology - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#334155" stroke-width="0.5"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="450" y="50" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="32" font-weight="bold" letter-spacing="1">THE CELL MEMBRANE</text> <text x="450" y="75" text-anchor="middle" fill="#38bdf8" font-family="sans-serif" font-size="14" font-weight="600" letter-spacing="4">A DYNAMIC BIOLOGICAL INTERFACE</text> <line x1="350" y1="85" x2="550" y2="85" stroke="#334155" stroke-width="1"/> <!-- Left Panel: Anatomy --> <rect x="30" y="110" width="260" height="420" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="45" y="140" fill="#f59e0b" font-family="sans-serif" font-size="18" font-weight="bold">MOLECULAR ANATOMY</text> <!-- Phospholipid Detail --> <g transform="translate(60, 170)"> <!-- Hydrophilic Head --> <circle cx="40" cy="30" r="18" fill="#38bdf8" filter="url(#glow)"/> <text x="70" y="35" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="bold">Polar Head</text> <text x="70" y="50" fill="#94a3b8" font-family="sans-serif" font-size="11">Phosphate + Glycerol</text> <!-- Hydrophobic Tails --> <path d="M32 48 Q32 80 32 100" stroke="#94a3b8" stroke-width="4" fill="none" stroke-linecap="round"/> <path d="M48 48 Q48 70 65 90" stroke="#94a3b8" stroke-width="4" fill="none" stroke-linecap="round"/> <text x="75" y="85" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="bold">Non-polar Tails</text> <text x="75" y="100" fill="#94a3b8" font-family="sans-serif" font-size="11">Fatty Acid Chains</text> </g> <!-- Chemical Table --> <g transform="translate(45, 310)"> <rect width="230" height="190" rx="8" fill="#00000020"/> <text x="10" y="25" fill="#38bdf8" font-family="sans-serif" font-size="12" font-weight="bold">COMPONENT CHARACTERISTICS</text> <line x1="10" y1="35" x2="220" y2="35" stroke="#ffffff10"/> <text x="10" y="55" fill="#f8fafc" font-family="sans-serif" font-size="11" font-weight="bold">Saturated Tail</text> <text x="10" y="70" fill="#94a3b8" font-family="sans-serif" font-size="11">Straight, increases packing.</text> <text x="10" y="95" fill="#f8fafc" font-family="sans-serif" font-size="11" font-weight="bold">Unsaturated Tail</text> <text x="10" y="110" fill="#94a3b8" font-family="sans-serif" font-size="11">Kinked, maintains fluidity.</text> <text x="10" y="135" fill="#f8fafc" font-family="sans-serif" font-size="11" font-weight="bold">Cholesterol</text> <text x="10" y="150" fill="#94a3b8" font-family="sans-serif" font-size="11">Fluidity buffer; mechanical stability.</text> </g> <!-- Center Panel: Fluid Mosaic Model --> <rect x="310" y="110" width="560" height="280" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="330" y="140" fill="#e879f9" font-family="sans-serif" font-size="18" font-weight="bold">THE FLUID MOSAIC MODEL</text> <!-- Bilayer Illustration --> <g transform="translate(350, 180)"> <!-- Bottom Layer --> <g transform="translate(0, 60)"> <circle cx="20" cy="40" r="8" fill="#38bdf8" opacity="0.6"/> <circle cx="50" cy="40" r="8" fill="#38bdf8" opacity="0.6"/> <circle cx="80" cy="40" r="8" fill="#38bdf8" opacity="0.6"/> <circle cx="110" cy="40" r="8" fill="#38bdf8" opacity="0.6"/> <circle cx="140" cy="40" r="8" fill="#38bdf8" opacity="0.6"/> <circle cx="170" cy="40" r="8" fill="#38bdf8" opacity="0.6"/> <circle cx="200" cy="40" r="8" fill="#38bdf8" opacity="0.6"/> <circle cx="230" cy="40" r="8" fill="#38bdf8" opacity="0.6"/> <circle cx="260" cy="40" r="8" fill="#38bdf8" opacity="0.6"/> <circle cx="290" cy="40" r="8" fill="#38bdf8" opacity="0.6"/> <circle cx="320" cy="40" r="8" fill="#38bdf8" opacity="0.6"/> <circle cx="350" cy="40" r="8" fill="#38bdf8" opacity="0.6"/> <circle cx="380" cy="40" r="8" fill="#38bdf8" opacity="0.6"/> <circle cx="410" cy="40" r="8" fill="#38bdf8" opacity="0.6"/> <circle cx="440" cy="40" r="8" fill="#38bdf8" opacity="0.6"/> </g> <!-- Integral Protein --> <rect x="180" y="-10" width="60" height="120" rx="25" fill="#e879f9" opacity="0.9" filter="url(#glow)"/> <text x="210" y="55" text-anchor="middle" fill="#ffffff" font-family="sans-serif" font-size="10" font-weight="bold">INTEGRAL</text> <text x="210" y="68" text-anchor="middle" fill="#ffffff" font-family="sans-serif" font-size="10" font-weight="bold">PROTEIN</text> <!-- Top Layer --> <g> <circle cx="20" cy="0" r="8" fill="#38bdf8"/> <circle cx="50" cy="0" r="8" fill="#38bdf8"/> <circle cx="80" cy="0" r="8" fill="#38bdf8"/> <circle cx="110" cy="0" r="8" fill="#38bdf8"/> <circle cx="140" cy="0" r="8" fill="#38bdf8"/> <circle cx="280" cy="0" r="8" fill="#38bdf8"/> <circle cx="310" cy="0" r="8" fill="#38bdf8"/> <circle cx="340" cy="0" r="8" fill="#38bdf8"/> <circle cx="370" cy="0" r="8" fill="#38bdf8"/> <circle cx="400" cy="0" r="8" fill="#38bdf8"/> <circle cx="430" cy="0" r="8" fill="#38bdf8"/> </g> <!-- Peripheral Protein --> <circle cx="110" cy="-25" r="20" fill="#34d399" filter="url(#glow)"/> <text x="110" y="-22" text-anchor="middle" fill="#ffffff" font-family="sans-serif" font-size="9" font-weight="bold">PERIPHERAL</text> <!-- Cholesterol --> <polygon points="305,30 315,30 318,40 315,50 305,50 302,40" fill="#f59e0b"/> <text x="325" y="45" fill="#f59e0b" font-family="sans-serif" font-size="10" font-weight="bold">Cholesterol</text> </g> <text x="330" y="330" fill="#94a3b8" font-family="sans-serif" font-size="12" font-style="italic"> The membrane is a 2D liquid where lipids and proteins diffuse laterally. </text> <text x="330" y="350" fill="#94a3b8" font-family="sans-serif" font-size="12"> Singer &amp; Nicolson (1972): The "Fluid Mosaic" concept revolutionized cell biology. </text> <!-- Bottom Right: Thermodynamics --> <rect x="310" y="410" width="560" height="120" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="330" y="440" fill="#38bdf8" font-family="sans-serif" font-size="16" font-weight="bold">THERMODYNAMIC SELF-ASSEMBLY</text> <g transform="translate(330, 460)"> <text x="0" y="15" fill="#f8fafc" font-family="sans-serif" font-size="13">Driven by the <tspan fill="#f59e0b" font-weight="bold">Hydrophobic Effect</tspan>:</text> <text x="0" y="35" fill="#94a3b8" font-family="sans-serif" font-size="12">Water molecules form ordered "clathrate" cages around non-polar tails.</text> <text x="0" y="52" fill="#94a3b8" font-family="sans-serif" font-size="12">Bilayer formation increases total system <tspan fill="#e879f9">Entropy (ΔS)</tspan>,</text> <text x="0" y="69" fill="#94a3b8" font-family="sans-serif" font-size="12">minimizing the <tspan fill="#38bdf8">Gibbs Free Energy (ΔG)</tspan>.</text> </g> <!-- Small Code Decoration --> <g transform="translate(720, 465)" opacity="0.4"> <rect width="130" height="50" rx="4" fill="#000" stroke="#334155"/> <text x="10" y="20" fill="#34d399" font-family="monospace" font-size="9">V(r) = 4ε[(σ/r)¹² - (σ/r)⁶]</text> <text x="10" y="35" fill="#64748b" font-family="monospace" font-size="8">// Lennard-Jones Potential</text> </g> <!-- Decorative Accents --> <circle cx="850" cy="50" r="30" fill="none" stroke="#38bdf8" stroke-width="1" stroke-dasharray="4 4"/> <circle cx="850" cy="50" r="20" fill="none" stroke="#e879f9" stroke-width="1" stroke-dasharray="2 2"/> </svg>The Cell Membrane and Transport Mechanisms image 1The Cell Membrane and Transport Mechanisms - High School Biology - image 1https://www.getlykke.com/explore/public/high-school-biology-8b172479-056c-47eb-a63e-bb6580c26864/media/cell-membrane-and-transport/svg/1The Cell Membrane and Transport Mechanisms diagram 1The Cell Membrane and Transport Mechanisms - High School Biology - diagram 1<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <!-- Background Gradient --> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <!-- Accent Gradients --> <linearGradient id="grad-cat" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#f59e0b" stop-opacity="0.8"/> <stop offset="100%" stop-color="#ea580c" stop-opacity="0.8"/> </linearGradient> <linearGradient id="grad-ana" x1="0" y1="0" x2="1" 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text-anchor="middle" letter-spacing="1">METABOLISM &amp; ENZYMATIC ACTIVITY</text> <rect x="380" y="65" width="140" height="4" fill="#38bdf8" rx="2"/> <text x="450" y="85" font-family="sans-serif" font-size="14" fill="#94a3b8" text-anchor="middle">The Thermodynamic and Kinetic Framework of Life</text> <!-- Left Panel: Catabolism --> <rect x="40" y="120" width="260" height="240" rx="16" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <circle cx="70" cy="150" r="12" fill="url(#grad-cat)"/> <text x="95" y="156" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">CATABOLISM</text> <text x="60" y="185" font-family="sans-serif" font-size="13" fill="#f8fafc" font-weight="600">The Degradative Phase</text> <text x="60" y="205" font-family="sans-serif" font-size="12" fill="#94a3b8"> <tspan x="60" dy="1.2em">• Complex → Simple molecules</tspan> <tspan x="60" dy="1.2em">• Exergonic (ΔG &lt; 0)</tspan> <tspan x="60" dy="1.2em">• Oxidative (Releases Electrons)</tspan> <tspan x="60" dy="1.2em">• Generates ATP &amp; NADH</tspan> </text> <!-- Catabolism Illustration --> <g transform="translate(100, 300)"> <path d="M 0,0 L 40,0 L 20,30 Z" fill="#f59e0b" opacity="0.6"/> <path d="M 50,10 L 70,10 M 50,20 L 70,20" stroke="#f59e0b" stroke-width="2"/> <path d="M 80,0 C 100,20 120,0 140,20" stroke="#f59e0b" fill="none" stroke-dasharray="4"/> <circle cx="10" cy="10" r="4" fill="#f8fafc"/> <circle cx="130" cy="25" r="4" fill="#f8fafc"/> </g> <!-- Right Panel: Anabolism --> <rect x="600" y="120" width="260" height="240" rx="16" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <circle cx="630" cy="150" r="12" fill="url(#grad-ana)"/> <text x="655" y="156" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">ANABOLISM</text> <text x="620" y="185" font-family="sans-serif" font-size="13" fill="#f8fafc" font-weight="600">The Biosynthetic Phase</text> <text x="620" y="205" font-family="sans-serif" font-size="12" fill="#94a3b8"> <tspan x="620" 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</svg>Metabolism and Enzymatic Activity image 1Metabolism and Enzymatic Activity - High School Biology - image 1https://www.getlykke.com/explore/public/high-school-biology-8b172479-056c-47eb-a63e-bb6580c26864/media/metabolism-and-enzymes/svg/1Metabolism and Enzymatic Activity diagram 1Metabolism and Enzymatic Activity - High School Biology - diagram 1https://www.getlykke.com/explore/public/high-school-biology-8b172479-056c-47eb-a63e-bb6580c26864/media/metabolism-and-enzymes/svg/2Metabolism and Enzymatic Activity diagram 2Metabolism and Enzymatic Activity - High School Biology - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="grad-green" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#22c55e" stop-opacity="0.2"/> <stop offset="100%" stop-color="#15803d" 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letter-spacing="3">PHOTOSYNTHESIS • RESPIRATION • ATP CYCLE</text> <line x1="350" y1="85" x2="550" y2="85" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 4"/> <!-- Left Panel: Photosynthesis --> <rect x="40" y="110" width="380" height="340" rx="16" fill="url(#grad-green)" stroke="#22c55e44" stroke-width="1"/> <text x="60" y="145" font-family="sans-serif" font-weight="700" font-size="20" fill="#4ade80">PHOTOSYNTHESIS</text> <text x="60" y="165" font-family="sans-serif" font-size="12" fill="#94a3b8">Anabolic Pathway: Storing Solar Energy</text> <!-- Chloroplast Icon --> <ellipse cx="350" cy="150" rx="35" ry="20" fill="none" stroke="#4ade80" stroke-width="2"/> <path d="M 330 145 Q 350 135 370 145 M 330 155 Q 350 145 370 155" stroke="#4ade80" fill="none"/> <!-- Photosynthesis Content --> <g transform="translate(60, 190)"> <circle cx="10" cy="10" r="4" fill="#facc15"/> <text x="25" y="15" font-family="sans-serif" font-size="13" fill="#f8fafc" font-weight="600">Light-Dependent 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repair</text> </g> <!-- Right Panel: Meiosis --> <rect x="480" y="110" width="380" height="300" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="500" y="145" font-family="sans-serif" font-weight="700" font-size="22" fill="#e879f9">MEIOSIS</text> <text x="500" y="165" font-family="sans-serif" font-size="13" fill="#94a3b8">The Engine of Diversity (Germline)</text> <!-- Meiosis Illustration --> <g transform="translate(540, 240)"> <circle cx="0" cy="0" r="30" fill="none" stroke="#e879f9" stroke-width="2"/> <path d="M35,0 L60,0" stroke="#e879f9" stroke-width="2"/> <!-- Meiosis I --> <circle cx="90" cy="-40" r="22" fill="none" stroke="#e879f9" stroke-width="1.5"/> <circle cx="90" cy="40" r="22" fill="none" stroke="#e879f9" stroke-width="1.5"/> <!-- Meiosis II --> <circle cx="160" cy="-65" r="15" fill="none" stroke="#e879f9" stroke-width="1" opacity="0.7"/> <circle cx="160" cy="-25" r="15" fill="none" stroke="#e879f9" stroke-width="1" opacity="0.7"/> <circle cx="160" cy="25" r="15" fill="none" stroke="#e879f9" stroke-width="1" opacity="0.7"/> <circle cx="160" cy="65" r="15" fill="none" stroke="#e879f9" stroke-width="1" opacity="0.7"/> <text x="160" y="70" text-anchor="middle" font-family="sans-serif" font-size="9" fill="#e879f9">n</text> <text x="0" y="5" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#e879f9">2n</text> </g> <g transform="translate(700, 210)"> <rect width="140" height="80" rx="8" fill="#ffffff05"/> <text x="10" y="25" font-family="sans-serif" font-size="12" fill="#f8fafc" font-weight="bold">• Reductional Division</text> <text x="10" y="45" font-family="sans-serif" font-size="11" fill="#94a3b8">Produces 4 unique gametes</text> <text x="10" y="65" font-family="sans-serif" font-size="11" fill="#94a3b8">Genetic recombination</text> </g> <!-- Bottom Panel: The Cell Cycle Hub --> <rect x="40" y="430" width="820" height="100" rx="16" fill="#ffffff10" stroke="#ffffff15"/> <!-- Cell Cycle Graphic --> <g transform="translate(100, 480)"> <circle r="35" fill="none" stroke="#f59e0b" stroke-width="4" stroke-dasharray="160 60"/> <text text-anchor="middle" y="5" font-family="sans-serif" font-weight="bold" font-size="10" fill="#f59e0b">CYCLE</text> <!-- Labels around circle --> <text x="0" y="-42" text-anchor="middle" font-family="sans-serif" font-size="9" fill="#f8fafc">M</text> <text x="42" y="0" text-anchor="start" font-family="sans-serif" font-size="9" fill="#f8fafc">G1</text> <text x="0" y="48" text-anchor="middle" font-family="sans-serif" font-size="9" fill="#f8fafc">S</text> <text x="-42" y="0" text-anchor="end" font-family="sans-serif" font-size="9" fill="#f8fafc">G2</text> </g> <!-- Checkpoint Logic --> <g transform="translate(180, 455)"> <text font-family="sans-serif" font-weight="700" font-size="14" fill="#f59e0b">CHECKPOINT LOGIC</text> <rect y="10" width="640" height="1" fill="#ffffff20"/> <g transform="translate(0, 30)"> <circle cx="5" cy="5" r="4" fill="#ef4444"/> <text x="15" y="10" font-family="sans-serif" font-size="11" fill="#f8fafc">G1: Growth &amp; 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PARTICULATE THEORY</text> <!-- Left Card: The Paradigm Shift --> <rect x="30" y="115" width="260" height="370" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="45" y="145" fill="#f59e0b" font-family="sans-serif" font-weight="700" font-size="18">THE PARADIGM SHIFT</text> <!-- Blending vs Particulate --> <g transform="translate(45, 170)"> <text y="0" fill="#94a3b8" font-family="sans-serif" font-size="12" font-weight="600">PRE-1865: BLENDING THEORY</text> <circle cx="20" cy="30" r="12" fill="#ef4444" fill-opacity="0.8"/> <circle cx="45" cy="30" r="12" fill="#f8fafc" fill-opacity="0.8"/> <path d="M65 30 L85 30" stroke="#94a3b8" stroke-width="2" marker-end="url(#arrow)"/> <circle cx="110" cy="30" r="12" fill="#f472b6"/> <text x="130" y="34" fill="#94a3b8" font-family="sans-serif" font-size="11">Traits "mix" &amp; disappear</text> <line x1="10" y1="15" x2="150" y2="45" stroke="#ef4444" stroke-width="2" opacity="0.5"/> </g> <g transform="translate(45, 260)"> <text y="0" fill="#38bdf8" font-family="sans-serif" font-size="12" font-weight="600">MENDEL: PARTICULATE THEORY</text> <circle cx="20" cy="30" r="12" fill="#a855f7"/> <circle cx="45" cy="30" r="12" fill="#f8fafc" stroke="#94a3b8"/> <path d="M65 30 L85 30" stroke="#38bdf8" stroke-width="2"/> <circle cx="110" cy="30" r="12" fill="#a855f7"/> <text x="130" y="34" fill="#f8fafc" font-family="sans-serif" font-size="11">Traits are discrete units</text> <text x="0" y="65" fill="#94a3b8" font-family="sans-serif" font-size="12" width="220"> <tspan x="0" dy="1.2em">Gregor Mendel's work with</tspan> <tspan x="0" dy="1.2em" font-style="italic" fill="#f8fafc">Pisum sativum</tspan> <tspan x="0" dy="1.2em">proved that heritable units</tspan> <tspan x="0" dy="1.2em">(genes) retain their identity.</tspan> </text> </g> <!-- Center Card: Genotype vs Phenotype --> <rect x="320" y="115" width="260" height="370" rx="16" fill="#ffffff12" stroke="#ffffff20"/> <text x="335" y="145" fill="#e879f9" font-family="sans-serif" font-weight="700" font-size="18">GENE EXPRESSION</text> <!-- Flower Illustration --> <g transform="translate(450, 230)"> <!-- Purple Flower --> <g transform="translate(-50, 0)"> <circle cx="0" cy="0" r="8" fill="#f59e0b"/> <ellipse cx="0" cy="-15" rx="10" ry="14" fill="#a855f7" opacity="0.9"/> <ellipse cx="0" cy="15" rx="10" ry="14" fill="#a855f7" opacity="0.9"/> <ellipse cx="-15" cy="0" rx="14" ry="10" fill="#a855f7" opacity="0.9"/> <ellipse cx="15" cy="0" rx="14" ry="10" fill="#a855f7" opacity="0.9"/> <text y="45" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="12" font-weight="bold">PHENOTYPE</text> <text y="60" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="11">Purple Flower</text> </g> <!-- Genotype Label --> <rect x="-100" y="295" width="200" height="50" rx="8" fill="#00000030"/> <text y="315" text-anchor="middle" fill="#e879f9" font-family="sans-serif" font-size="12" font-weight="bold">GENOTYPE (Alleles)</text> <text y="335" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="16" letter-spacing="4">PP or Pp</text> </g> <!-- Right Card: The Laws --> <rect x="610" y="115" width="260" height="370" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="625" y="145" fill="#38bdf8" font-family="sans-serif" font-weight="700" font-size="18">THE LAWS</text> <!-- Law 1: Segregation --> <g transform="translate(625, 175)"> <text y="0" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="600">1. Law of Segregation</text> <text y="18" fill="#94a3b8" font-family="sans-serif" font-size="11">Alleles separate during gamete formation.</text> <!-- Punnett Square Mini --> <g transform="translate(10, 35)"> <rect width="60" height="60" fill="none" stroke="#ffffff30" stroke-width="1"/> <line x1="30" y1="0" x2="30" y2="60" stroke="#ffffff30"/> <line x1="0" y1="30" x2="60" y2="30" stroke="#ffffff30"/> <text x="15" y="-5" text-anchor="middle" fill="#a855f7" font-size="10">P</text> <text x="45" y="-5" text-anchor="middle" fill="#94a3b8" font-size="10">p</text> <text x="-8" y="18" text-anchor="middle" fill="#a855f7" font-size="10">P</text> <text x="-8" y="48" text-anchor="middle" fill="#94a3b8" font-size="10">p</text> <text x="15" y="20" text-anchor="middle" fill="#f8fafc" font-size="9">PP</text> <text x="45" y="20" text-anchor="middle" fill="#f8fafc" font-size="9">Pp</text> <text x="15" y="50" text-anchor="middle" fill="#f8fafc" font-size="9">Pp</text> <text x="45" y="50" text-anchor="middle" fill="#f8fafc" font-size="9" opacity="0.5">pp</text> </g> <text x="85" y="60" fill="#f59e0b" font-family="sans-serif" font-size="18" font-weight="800">3:1</text> <text x="85" y="75" fill="#94a3b8" font-family="sans-serif" font-size="10">Phenotypic Ratio</text> </g> <!-- Law 2: Independent Assortment --> <g transform="translate(625, 310)"> <text y="0" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="600">2. Independent Assortment</text> <text y="18" fill="#94a3b8" font-family="sans-serif" font-size="11">Genes for different traits segregate</text> <text y="32" fill="#94a3b8" font-family="sans-serif" font-size="11">independently of one another.</text> <g transform="translate(0, 50)"> <rect width="210" height="40" rx="4" fill="#38bdf815" stroke="#38bdf830"/> <text x="105" y="25" text-anchor="middle" fill="#38bdf8" font-family="sans-serif" font-size="14" font-weight="800">9 : 3 : 3 : 1</text> <text x="105" y="55" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10">Dihybrid Cross Result</text> </g> </g> <!-- Footer --> <text x="450" y="535" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10" opacity="0.8">EDUCATIONAL SERIES: BIOLOGY &amp; GENETICS | © 1865-2024 MENDELIAN FOUNDATIONS</text> <!-- Accent DNA Helix Graphic (Subtle) --> <g opacity="0.05" transform="translate(820, 20) scale(0.5)"> <path d="M0 0 Q 50 50 0 100 T 0 200 T 0 300" stroke="#f8fafc" stroke-width="8" fill="none"/> <path d="M40 0 Q -10 50 40 100 T 40 200 T 40 300" stroke="#38bdf8" stroke-width="8" fill="none"/> </g> </svg>Foundations of Genetics: Mendelian Inheritance image 1Foundations of Genetics: Mendelian Inheritance - High School Biology - image 1https://www.getlykke.com/explore/public/high-school-biology-8b172479-056c-47eb-a63e-bb6580c26864/media/mendelian-genetics/svg/1Foundations of Genetics: Mendelian Inheritance diagram 1Foundations of Genetics: Mendelian Inheritance - High School Biology - diagram 1https://www.getlykke.com/explore/public/high-school-biology-8b172479-056c-47eb-a63e-bb6580c26864/media/mendelian-genetics/svg/2Foundations of Genetics: Mendelian Inheritance diagram 2Foundations of Genetics: Mendelian Inheritance - High School Biology - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Header --> <text x="450" y="50" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="32" font-weight="bold" filter="url(#glow)">COMPLEX INHERITANCE &amp; PEDIGREE ANALYSIS</text> <text x="450" y="75" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="14" letter-spacing="2">THE MOLECULAR REALITY BEYOND MENDELIAN LAWS</text> <line x1="300" y1="85" x2="600" y2="85" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 4"/> <!-- Card 1: Dominance Spectrum --> <rect x="40" y="110" width="400" height="200" rx="16" fill="#ffffff10" stroke="#ffffff20"/> <text x="60" y="140" fill="#f59e0b" font-family="sans-serif" font-size="18" font-weight="bold">1. THE DOMINANCE SPECTRUM</text> <!-- Incomplete Dominance Graphic --> <circle cx="90" cy="180" r="15" fill="#ef4444"/> <!-- Red --> <text x="110" y="185" fill="#f8fafc" font-family="sans-serif" font-size="12">+</text> <circle cx="140" cy="180" r="15" fill="#ffffff" stroke="#94a3b8"/> <!-- White --> <text x="160" y="185" fill="#f8fafc" font-family="sans-serif" font-size="12">=</text> <circle cx="195" cy="180" r="18" fill="#f472b6" filter="url(#glow)"/> <!-- Pink --> <text x="75" y="215" fill="#94a3b8" font-family="sans-serif" font-size="11" font-weight="bold">INCOMPLETE</text> <text x="75" y="230" fill="#cbd5e1" font-family="sans-serif" font-size="10">Intermediate phenotype (Pink)</text> <!-- Codominance Graphic --> <circle cx="280" cy="180" r="18" fill="#38bdf8"/> <text x="274" y="185" fill="#0f172a" font-family="sans-serif" font-size="14" font-weight="bold">A</text> <circle cx="320" cy="180" r="18" fill="#e879f9"/> <text x="314" y="185" fill="#0f172a" font-family="sans-serif" font-size="14" font-weight="bold">B</text> <text x="275" y="215" fill="#94a3b8" font-family="sans-serif" font-size="11" font-weight="bold">CODOMINANCE</text> <text x="275" y="230" fill="#cbd5e1" font-family="sans-serif" font-size="10">Both traits expressed (AB Blood)</text> <!-- Card 2: Sex-Linked Inheritance --> <rect x="460" y="110" width="400" height="200" rx="16" fill="#ffffff10" stroke="#ffffff20"/> <text x="480" y="140" fill="#38bdf8" font-family="sans-serif" font-size="18" font-weight="bold">2. SEX-LINKED DYNAMICS</text> <!-- Chromosome Icon --> <g transform="translate(500, 160)"> <rect x="0" y="0" width="8" height="40" rx="4" fill="#38bdf8" transform="rotate(20)"/> <rect x="15" y="0" width="8" height="40" rx="4" fill="#38bdf8" transform="rotate(-20)"/> <text x="35" y="25" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="bold">X</text> <rect x="80" y="5" width="8" height="35" rx="4" fill="#f59e0b" transform="rotate(10)"/> <rect x="90" y="15" width="8" height="15" rx="4" fill="#f59e0b" transform="rotate(-45)"/> <text x="110" y="25" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="bold">Y</text> </g> <text x="480" y="230" fill="#cbd5e1" font-family="sans-serif" font-size="12" font-weight="bold">HEMIZYGOSITY IN MALES (XY)</text> <text x="480" y="248" fill="#94a3b8" font-family="sans-serif" font-size="11">Males express X-linked recessive traits with only</text> <text x="480" y="262" fill="#94a3b8" font-family="sans-serif" font-size="11">one allele. Probability P(m) = q vs P(f) = q².</text> <!-- Card 3: Dosage Compensation --> <rect x="40" y="330" width="400" height="200" rx="16" fill="#ffffff10" stroke="#ffffff20"/> <text x="60" y="360" fill="#e879f9" font-family="sans-serif" font-size="18" font-weight="bold">3. DOSAGE COMPENSATION</text> <!-- X-Inactivation Graphic --> <circle cx="100" cy="420" r="30" fill="none" stroke="#f8fafc" stroke-width="2"/> <path d="M 85 410 Q 100 400 115 410" stroke="#38bdf8" stroke-width="4" fill="none"/> <path d="M 85 430 Q 100 420 115 430" stroke="#94a3b8" stroke-width="4" fill="none" stroke-dasharray="2 1"/> <text x="140" y="415" fill="#f8fafc" font-family="sans-serif" font-size="12" font-weight="bold">BARR BODY</text> <text x="140" y="430" fill="#94a3b8" font-family="sans-serif" font-size="10">Condensed, inactive X chromosome</text> <text x="60" y="475" fill="#cbd5e1" font-family="sans-serif" font-size="11">Random inactivation creates a genetic mosaic in</text> <text x="60" y="490" fill="#cbd5e1" font-family="sans-serif" font-size="11">females. Classic example: Calico fur patterns.</text> <!-- Card 4: Pedigree Analysis --> <rect x="460" y="330" width="400" height="200" rx="16" fill="#ffffff10" stroke="#ffffff20"/> <text x="480" y="360" fill="#10b981" font-family="sans-serif" font-size="18" font-weight="bold">4. 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<text x="15" y="30" fill="#94a3b8" font-family="sans-serif" font-size="10">Female</text> <rect x="0" y="40" width="10" height="10" fill="#10b981"/> <text x="15" y="50" fill="#94a3b8" font-family="sans-serif" font-size="10">Affected</text> </g> <text x="480" y="490" fill="#cbd5e1" font-family="sans-serif" font-size="11">Tracing phenotypes through lineages to determine</text> <text x="480" y="505" fill="#cbd5e1" font-family="sans-serif" font-size="11">mode of inheritance (Autosomal vs. Sex-linked).</text> <!-- Footer Branding --> <text x="860" y="545" text-anchor="end" fill="#ffffff30" font-family="sans-serif" font-size="10" font-style="italic">GENETICS WIKI | EDUCATIONAL SERIES</text> </svg>Complex Inheritance and Pedigree Analysis image 1Complex Inheritance and Pedigree Analysis - High School Biology - image 1https://www.getlykke.com/explore/public/high-school-biology-8b172479-056c-47eb-a63e-bb6580c26864/media/complex-inheritance/svg/1Complex Inheritance and Pedigree Analysis diagram 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stroke-linecap="round"/> <!-- Left Column: Chemical Toolkit --> <rect x="30" y="110" width="260" height="200" rx="16" fill="#ffffff0a" stroke="#ffffff10"/> <text x="50" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">The Chemical Toolkit</text> <text x="50" y="165" font-family="sans-serif" font-size="12" fill="#94a3b8">Life is built from the CHNOPS elements:</text> <g transform="translate(50, 185)"> <circle cx="20" cy="20" r="18" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1.5"/> <text x="20" y="25" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f59e0b">C</text> <circle cx="60" cy="20" r="18" fill="#38bdf820" stroke="#38bdf8" stroke-width="1.5"/> <text x="60" y="25" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="14" fill="#38bdf8">H</text> <circle cx="100" cy="20" r="18" fill="#e879f920" stroke="#e879f9" stroke-width="1.5"/> <text x="100" y="25" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="14" fill="#e879f9">N</text> <circle cx="20" cy="65" r="18" fill="#10b98120" stroke="#10b981" stroke-width="1.5"/> <text x="20" y="70" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="14" fill="#10b981">O</text> <circle cx="60" cy="65" r="18" fill="#f43f5e20" stroke="#f43f5e" stroke-width="1.5"/> <text x="60" y="70" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f43f5e">P</text> <circle cx="100" cy="65" r="18" fill="#fbbf2420" stroke="#fbbf24" stroke-width="1.5"/> <text x="100" y="70" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="14" fill="#fbbf24">S</text> </g> <text x="50" y="290" font-family="sans-serif" font-size="11" fill="#94a3b8" font-style="italic">Covalent backbone of all macromolecules</text> <!-- Middle Column: Scale & Bonds --> <rect x="310" y="110" width="280" height="200" rx="16" fill="#ffffff0a" stroke="#ffffff10"/> <text x="330" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">Scale &amp; Energy</text> <!-- Scale Bar --> <line x1="330" y1="175" x2="570" y2="175" stroke="#94a3b8" stroke-width="1"/> <circle cx="330" cy="175" r="3" fill="#38bdf8"/> <text x="330" y="190" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">1.5 Å</text> <text x="330" y="165" text-anchor="middle" font-family="sans-serif" font-size="9" fill="#f8fafc">C-C Bond</text> <circle cx="410" cy="175" r="3" fill="#38bdf8"/> <text x="410" y="190" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">20 Å</text> <text x="410" y="165" text-anchor="middle" font-family="sans-serif" font-size="9" fill="#f8fafc">DNA Helix</text> <circle cx="530" cy="175" r="3" fill="#38bdf8"/> <text x="530" y="190" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">1-5 µm</text> <text x="530" y="165" text-anchor="middle" font-family="sans-serif" font-size="9" fill="#f8fafc">Bacteria</text> <!-- Bonds --> <g transform="translate(330, 215)"> <rect width="240" height="18" rx="4" fill="#f43f5e20"/> <text x="8" y="13" font-family="sans-serif" font-size="10" fill="#f8fafc">COVALENT (Strong)</text> <text x="232" y="13" text-anchor="end" font-family="sans-serif" font-size="10" fill="#f43f5e">50-110 kcal/mol</text> <rect y="25" width="240" height="18" rx="4" fill="#38bdf820"/> <text x="8" y="38" font-family="sans-serif" font-size="10" fill="#f8fafc">NON-COVALENT (Weak)</text> <text x="232" y="38" text-anchor="end" font-family="sans-serif" font-size="10" fill="#38bdf8">1-5 kcal/mol</text> <text y="65" font-family="sans-serif" font-size="11" fill="#94a3b8" width="240">Weak interactions enable dynamic folding and reversible binding.</text> </g> <!-- Right Column: Domains of Life --> <rect x="610" y="110" width="260" height="200" rx="16" fill="#ffffff0a" stroke="#ffffff10"/> <text x="630" y="140" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">The Three Domains</text> <g transform="translate(630, 160)"> <circle cx="30" cy="40" r="25" fill="none" stroke="#38bdf8" stroke-width="2" stroke-dasharray="2 2"/> <text x="30" y="85" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#38bdf8">BACTERIA</text> <circle cx="100" cy="40" r="25" fill="none" stroke="#e879f9" stroke-width="2" stroke-dasharray="4 2"/> <text x="100" y="85" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#e879f9">ARCHAEA</text> <circle cx="170" cy="40" r="30" fill="none" stroke="#f8fafc" stroke-width="2"/> <circle cx="170" cy="40" r="10" fill="#f8fafc30" stroke="#f8fafc" stroke-width="1"/> <text x="170" y="85" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#f8fafc">EUKARYA</text> <text x="0" y="120" font-family="sans-serif" font-size="11" fill="#94a3b8">Eukaryotes feature membrane-bound nuclei and complex organelles.</text> </g> <!-- Bottom Section: The Membrane Boundary --> <rect x="30" y="330" width="840" height="200" rx="16" fill="#ffffff0a" stroke="#ffffff10"/> <text x="60" y="365" font-family="sans-serif" font-weight="700" font-size="20" fill="#f8fafc">The Membrane Boundary: Phospholipid Bilayer</text> <!-- Bilayer Illustration --> <g transform="translate(60, 390)"> <!-- Top Row --> <circle cx="20" cy="20" r="8" fill="#38bdf8"/> <path d="M16 28 Q20 45 16 55 M24 28 Q20 45 24 55" stroke="#94a3b8" fill="none"/> <circle cx="45" cy="20" r="8" fill="#38bdf8"/> <path d="M41 28 Q45 45 41 55 M49 28 Q45 45 49 55" stroke="#94a3b8" fill="none"/> <circle cx="70" cy="20" r="8" fill="#38bdf8"/> <path d="M66 28 Q70 45 66 55 M74 28 Q70 45 74 55" stroke="#94a3b8" fill="none"/> <circle cx="95" cy="20" r="8" fill="#38bdf8"/> <path d="M91 28 Q95 45 91 55 M99 28 Q95 45 99 55" stroke="#94a3b8" fill="none"/> <!-- Bottom Row (Inverted) --> <circle cx="20" cy="100" r="8" fill="#38bdf8"/> <path d="M16 92 Q20 75 16 65 M24 92 Q20 75 24 65" stroke="#94a3b8" fill="none"/> <circle cx="45" 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1https://www.getlykke.com/explore/public/introductory-biology-b36950be-aafa-4e22-9bdc-b291f812acc8/media/course-introduction-foundations/svg/1Course Introduction and Biological Foundations diagram 1Course Introduction and Biological Foundations - Introductory Biology - diagram 1https://www.getlykke.com/explore/public/introductory-biology-b36950be-aafa-4e22-9bdc-b291f812acc8/media/course-introduction-foundations/svg/2Course Introduction and Biological Foundations diagram 2Course Introduction and Biological Foundations - Introductory Biology - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="450" y="50" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="32" font-weight="800" letter-spacing="1">CHEMICAL BONDING &amp; MACROMOLECULES</text> <text x="450" y="75" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="14" font-weight="400" letter-spacing="2">THE MOLECULAR ARCHITECTURE OF LIFE</text> <!-- CHNOPS Elements --> <g transform="translate(230, 95)"> <rect width="440" height="40" rx="20" fill="#ffffff10" stroke="#ffffff20"/> <text x="20" y="26" fill="#94a3b8" font-family="sans-serif" font-size="12" font-weight="700">THE CHNOPS ELEMENTS:</text> <g transform="translate(160, 10)"> <circle cx="20" cy="10" r="12" fill="#38bdf8" fill-opacity="0.2" stroke="#38bdf8"/> <text x="20" y="14" text-anchor="middle" fill="#38bdf8" font-family="sans-serif" font-size="12" font-weight="bold">C</text> <circle cx="55" cy="10" r="12" fill="#f59e0b" fill-opacity="0.2" stroke="#f59e0b"/> <text x="55" y="14" text-anchor="middle" fill="#f59e0b" font-family="sans-serif" font-size="12" font-weight="bold">H</text> <circle cx="90" cy="10" r="12" fill="#e879f9" fill-opacity="0.2" stroke="#e879f9"/> <text x="90" y="14" text-anchor="middle" fill="#e879f9" font-family="sans-serif" font-size="12" font-weight="bold">N</text> <circle cx="125" cy="10" r="12" fill="#ef4444" fill-opacity="0.2" stroke="#ef4444"/> <text x="125" y="14" text-anchor="middle" fill="#ef4444" font-family="sans-serif" font-size="12" font-weight="bold">O</text> <circle cx="160" cy="10" r="12" fill="#10b981" fill-opacity="0.2" stroke="#10b981"/> <text x="160" y="14" text-anchor="middle" fill="#10b981" font-family="sans-serif" font-size="12" font-weight="bold">P</text> <circle cx="195" cy="10" r="12" fill="#fbbf24" fill-opacity="0.2" stroke="#fbbf24"/> <text x="195" y="14" text-anchor="middle" fill="#fbbf24" font-family="sans-serif" font-size="12" font-weight="bold">S</text> </g> <text x="420" y="26" text-anchor="end" fill="#94a3b8" font-family="sans-serif" font-size="11">≈ 98% OF BIOMASS</text> </g> <!-- Left Panel: Covalent Bonds --> <rect x="40" y="150" width="400" height="220" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <rect x="40" y="150" width="400" height="40" rx="16" fill="#38bdf820"/> <text x="60" y="177" fill="#38bdf8" font-family="sans-serif" font-size="18" font-weight="bold">COVALENT: THE SKELETON</text> <g transform="translate(60, 210)"> <circle cx="30" cy="30" r="25" fill="none" stroke="#38bdf8" stroke-dasharray="4 2"/> <circle cx="70" cy="30" r="25" fill="none" stroke="#38bdf8" stroke-dasharray="4 2"/> <circle cx="50" cy="30" r="4" fill="#38bdf8" filter="url(#glow)"/> <circle cx="50" cy="22" r="4" fill="#38bdf8" filter="url(#glow)"/> <text x="110" y="25" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="bold">Electron Sharing</text> <text x="110" y="42" fill="#94a3b8" font-family="sans-serif" font-size="12">Permanent atomic architecture</text> </g> <line x1="60" y1="285" x2="420" y2="285" stroke="#ffffff10" stroke-width="1"/> <g transform="translate(60, 305)"> <text x="0" y="15" fill="#38bdf8" font-family="sans-serif" font-size="12" font-weight="bold">BOND ENERGY</text> <text x="0" y="35" fill="#f8fafc" font-family="sans-serif" font-size="24" font-weight="bold">200–500 <tspan font-size="12" fill="#94a3b8">kJ/mol</tspan></text> <text x="180" y="15" fill="#38bdf8" font-family="sans-serif" font-size="12" font-weight="bold">SCALE</text> <text x="180" y="35" fill="#f8fafc" font-family="sans-serif" font-size="24" font-weight="bold">1.54 <tspan font-size="12" fill="#94a3b8">Å (C-C)</tspan></text> </g> <!-- Right Panel: Non-Covalent --> <rect x="460" y="150" width="400" height="220" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <rect x="460" y="150" width="400" height="40" rx="16" fill="#e879f920"/> <text x="480" y="177" fill="#e879f9" font-family="sans-serif" font-size="18" font-weight="bold">NON-COVALENT: THE GLUE</text> <g transform="translate(480, 205)" font-family="sans-serif"> <!-- Ionic --> <text x="0" y="15" fill="#f8fafc" font-size="13" font-weight="bold">Ionic Bonds</text> <text x="130" y="15" fill="#94a3b8" font-size="12">Salt Bridges</text> <text x="360" y="15" text-anchor="end" fill="#e879f9" font-size="12" font-weight="bold">20–40 kJ</text> <rect x="0" y="22" width="360" height="4" rx="2" fill="#ffffff10"/> <rect x="0" y="22" width="120" height="4" rx="2" fill="#e879f9"/> <!-- H-Bond --> <text x="0" y="55" fill="#f8fafc" font-size="13" font-weight="bold">Hydrogen Bonds</text> <text x="130" y="55" fill="#94a3b8" 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transform="translate(70, 415)"> <text x="0" y="20" fill="#f59e0b" font-family="sans-serif" font-size="18" font-weight="bold">THE HYDROPHOBIC EFFECT</text> <text x="0" y="45" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="bold">Entropy-Driven Aggregation</text> <text x="0" y="65" fill="#94a3b8" font-family="sans-serif" font-size="12" width="300"> Water forms ordered cages around non-polar solutes. </text> <text x="0" y="80" fill="#94a3b8" font-family="sans-serif" font-size="12"> Aggregation releases water, increasing total entropy (ΔS &gt; 0). </text> <!-- Entropy Diagram --> <g transform="translate(320, 0)"> <circle cx="40" cy="40" r="35" fill="none" stroke="#38bdf830" stroke-width="1"/> <path d="M 25 30 Q 40 10 55 30 T 40 60" fill="none" stroke="#f59e0b" stroke-width="3"/> <text x="40" y="90" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10">NON-POLAR</text> </g> </g> <!-- Membrane Visualization --> <g transform="translate(550, 410)"> <text x="120" y="15" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="bold">LIPID BILAYER DYNAMICS</text> <!-- Top layer --> <g transform="translate(0, 30)"> <circle cx="20" cy="0" r="8" fill="#38bdf8"/> <path d="M 17 8 Q 15 15 17 25 M 23 8 Q 25 15 23 25" stroke="#f59e0b" fill="none" stroke-width="2"/> <circle cx="45" cy="0" r="8" fill="#38bdf8"/> <path d="M 42 8 Q 40 15 42 25 M 48 8 Q 50 15 48 25" stroke="#f59e0b" fill="none" stroke-width="2"/> <circle cx="70" cy="0" r="8" fill="#38bdf8"/> <path d="M 67 8 Q 65 15 67 25 M 73 8 Q 75 15 73 25" stroke="#f59e0b" fill="none" stroke-width="2"/> <circle cx="95" cy="0" r="8" fill="#38bdf8"/> <path d="M 92 8 Q 90 15 92 25 M 98 8 Q 100 15 98 25" stroke="#f59e0b" fill="none" stroke-width="2"/> <circle cx="120" cy="0" r="8" fill="#38bdf8"/> <path d="M 117 8 Q 115 15 117 25 M 123 8 Q 125 15 123 25" stroke="#f59e0b" fill="none" stroke-width="2"/> <circle cx="145" cy="0" r="8" fill="#38bdf8"/> <path d="M 142 8 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75 -15 73 -25" stroke="#f59e0b" fill="none" stroke-width="2"/> <circle cx="95" cy="0" r="8" fill="#38bdf8"/> <path d="M 92 -8 Q 90 -15 92 -25 M 98 -8 Q 100 -15 98 -25" stroke="#f59e0b" fill="none" stroke-width="2"/> <circle cx="120" cy="0" r="8" fill="#38bdf8"/> <path d="M 117 -8 Q 115 -15 117 -25 M 123 -8 Q 125 -15 123 -25" stroke="#f59e0b" fill="none" stroke-width="2"/> <circle cx="145" cy="0" r="8" fill="#38bdf8"/> <path d="M 142 -8 Q 140 -15 142 -25 M 148 -8 Q 150 -15 148 -25" stroke="#f59e0b" fill="none" stroke-width="2"/> <circle cx="170" cy="0" r="8" fill="#38bdf8"/> <path d="M 167 -8 Q 165 -15 167 -25 M 173 -8 Q 175 -15 173 -25" stroke="#f59e0b" fill="none" stroke-width="2"/> <circle cx="195" cy="0" r="8" fill="#38bdf8"/> <path d="M 192 -8 Q 190 -15 192 -25 M 198 -8 Q 200 -15 198 -25" stroke="#f59e0b" fill="none" stroke-width="2"/> <circle cx="220" cy="0" r="8" fill="#38bdf8"/> <path d="M 217 -8 Q 215 -15 217 -25 M 223 -8 Q 225 -15 223 -25" stroke="#f59e0b" fill="none" stroke-width="2"/> </g> <text x="120" y="65" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10" font-weight="bold">HYDROPHOBIC CORE</text> </g> <!-- Decorative Corner Accents --> <path d="M 860 40 L 880 40 L 880 60" fill="none" stroke="#38bdf8" stroke-width="2"/> <path d="M 40 520 L 20 520 L 20 500" fill="none" stroke="#e879f9" stroke-width="2"/> </svg>Chemical Bonding and Biological Macromolecules image 1Chemical Bonding and Biological Macromolecules - Introductory Biology - image 1https://www.getlykke.com/explore/public/introductory-biology-b36950be-aafa-4e22-9bdc-b291f812acc8/media/chemical-bonding-macromolecules/svg/1Chemical Bonding and Biological Macromolecules diagram 1Chemical Bonding and Biological Macromolecules - Introductory Biology - diagram 1https://www.getlykke.com/explore/public/introductory-biology-b36950be-aafa-4e22-9bdc-b291f812acc8/media/chemical-bonding-macromolecules/svg/2Chemical Bonding and Biological Macromolecules diagram 2Chemical Bonding and Biological Macromolecules - Introductory Biology - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#f59e0b"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="3" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="450" y="50" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="32" font-weight="800" letter-spacing="1">ENZYME KINETICS &amp; THERMODYNAMICS</text> <text x="450" y="75" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="14" font-weight="400" letter-spacing="2">THE MOLECULAR MECHANICS OF BIOLOGICAL CATALYSIS</text> <rect x="400" y="85" width="100" height="3" fill="url(#accentGrad)" rx="1.5"/> <!-- Left Panel: Thermodynamics --> <rect x="30" y="110" width="260" height="420" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <circle cx="60" cy="140" r="12" fill="#f59e0b" fill-opacity="0.2"/> <path d="M 55 140 L 65 140 M 60 135 L 60 145" stroke="#f59e0b" stroke-width="2"/> <text x="80" y="145" fill="#f59e0b" font-family="sans-serif" font-size="18" font-weight="700">THERMODYNAMICS</text> <text x="50" y="180" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="600">The "If" Question</text> <text x="50" y="200" fill="#94a3b8" font-family="sans-serif" font-size="12" width="220">Determines if a reaction is spontaneous (ΔG &lt; 0). Enzymes do NOT change equilibrium.</text> <rect x="50" y="230" width="220" height="60" rx="8" fill="#00000030"/> <text x="160" y="265" text-anchor="middle" fill="#f8fafc" font-family="serif" font-style="italic" font-size="18">ΔG = ΔH - TΔS</text> <g transform="translate(50, 310)"> <text y="15" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="600">Exergonic (Spontaneous)</text> <path d="M 0 25 L 220 25" stroke="#ffffff20" stroke-width="1"/> <circle cx="10" cy="45" r="4" fill="#38bdf8"/> <text x="20" y="50" fill="#94a3b8" font-family="sans-serif" font-size="11">Releases energy to the system</text> <text y="85" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="600">Endergonic (Non-spontaneous)</text> <path d="M 0 95 L 220 95" stroke="#ffffff20" stroke-width="1"/> <circle cx="10" cy="115" r="4" fill="#e879f9"/> <text x="20" y="120" fill="#94a3b8" font-family="sans-serif" font-size="11">Requires energy input (ATP)</text> </g> <!-- Center: The Energy Landscape --> <rect x="310" y="110" width="280" height="420" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="450" y="145" text-anchor="middle" fill="#e879f9" font-family="sans-serif" font-size="18" font-weight="700">ENERGY LANDSCAPE</text> <!-- Graph --> <g transform="translate(340, 180)"> <!-- Axes --> <path d="M 0 0 L 0 220 L 220 220" stroke="#94a3b8" stroke-width="2" fill="none"/> <text x="-10" y="110" transform="rotate(-90, -10, 110)" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10">FREE ENERGY (G)</text> <text x="110" y="235" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10">REACTION COORDINATE</text> <!-- Uncatalyzed Path --> <path d="M 0 160 C 40 160, 80 20, 110 20 S 180 190, 220 190" stroke="#94a3b8" stroke-dasharray="4" stroke-width="2" fill="none"/> <!-- Catalyzed Path --> <path d="M 0 160 C 40 160, 80 100, 110 100 S 180 190, 220 190" stroke="#e879f9" stroke-width="3" fill="none" filter="url(#glow)"/> <!-- Labels --> <text x="10" y="155" fill="#f8fafc" font-family="sans-serif" font-size="10">Reactants</text> <text x="180" y="205" fill="#f8fafc" font-family="sans-serif" font-size="10">Products</text> <!-- Ea Arrow --> <path d="M 110 160 L 110 105" stroke="#38bdf8" stroke-width="2" marker-end="url(#arrow)"/> <text x="115" y="135" fill="#38bdf8" font-family="sans-serif" font-size="10" font-weight="bold">Lowered Ea</text> <!-- Delta G Arrow --> <path d="M 230 160 L 230 190" stroke="#f59e0b" stroke-width="2"/> <text x="235" y="180" fill="#f59e0b" font-family="sans-serif" font-size="10" font-weight="bold">ΔG</text> </g> <text x="450" y="440" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="600">The Transition State (‡)</text> <text x="450" y="460" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="11" width="240">Enzymes stabilize the high-energy intermediate,</text> <text x="450" y="475" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="11" width="240">making the "climb" easier and faster.</text> <!-- Right Panel: Kinetics --> <rect x="610" y="110" width="260" height="420" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <circle cx="640" cy="140" r="12" fill="#38bdf8" fill-opacity="0.2"/> <path d="M 640 133 L 640 140 L 645 143" stroke="#38bdf8" stroke-width="2" fill="none"/> <text x="660" y="145" fill="#38bdf8" font-family="sans-serif" font-size="18" font-weight="700">KINETICS</text> <text x="630" y="180" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="600">The "How Fast" Question</text> <!-- MM Equation --> <rect x="630" y="200" width="220" height="50" rx="8" fill="#00000030"/> <text x="740" y="230" text-anchor="middle" fill="#f8fafc" font-family="serif" font-style="italic" font-size="16">V = (Vmax [S]) / (Km + [S])</text> <!-- MM Curve Mini --> <g transform="translate(640, 270)"> <path d="M 0 0 L 0 100 L 120 100" stroke="#94a3b8" stroke-width="1" fill="none"/> <path d="M 0 100 Q 10 10, 120 10" stroke="#38bdf8" stroke-width="2" fill="none"/> <line x1="0" y1="10" x2="120" y2="10" stroke="#ffffff20" stroke-dasharray="2"/> <text x="125" y="15" fill="#94a3b8" font-family="sans-serif" font-size="9">Vmax</text> <text x="60" y="115" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="9">[Substrate]</text> </g> <g transform="translate(630, 400)"> <rect width="220" height="35" rx="4" fill="#ffffff05"/> <text x="10" y="22" fill="#38bdf8" font-family="sans-serif" font-size="12" font-weight="bold">Km</text> <text x="45" y="22" fill="#94a3b8" font-family="sans-serif" font-size="11">Affinity; [S] at 1/2 Vmax</text> <rect y="45" width="220" height="35" rx="4" fill="#ffffff05"/> <text x="10" y="67" fill="#38bdf8" font-family="sans-serif" font-size="12" font-weight="bold">kcat</text> <text x="45" y="67" fill="#94a3b8" font-family="sans-serif" font-size="11">Turnover number (speed)</text> <rect y="90" width="220" height="35" rx="4" fill="#ffffff05"/> <text x="10" y="112" fill="#38bdf8" font-family="sans-serif" font-size="12" font-weight="bold">η</text> <text x="45" y="112" fill="#94a3b8" font-family="sans-serif" font-size="11">Efficiency (kcat / Km)</text> </g> <!-- Decorative Arrow Def --> <marker id="arrow" markerWidth="10" markerHeight="10" refX="9" refY="3" orient="auto" markerUnits="strokeWidth"> <path d="M0,0 L0,6 L9,3 z" fill="#38bdf8" /> </marker> </svg>Enzyme Kinetics and Thermodynamics image 1Enzyme Kinetics and Thermodynamics - Introductory Biology - image 1https://www.getlykke.com/explore/public/introductory-biology-b36950be-aafa-4e22-9bdc-b291f812acc8/media/enzymes-thermodynamics/svg/1Enzyme Kinetics and Thermodynamics diagram 1Enzyme Kinetics and Thermodynamics - Introductory Biology - diagram 1https://www.getlykke.com/explore/public/introductory-biology-b36950be-aafa-4e22-9bdc-b291f812acc8/media/enzymes-thermodynamics/svg/2Enzyme Kinetics and Thermodynamics diagram 2Enzyme Kinetics and Thermodynamics - Introductory Biology - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <pattern id="dotPattern" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff08" /> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dotPattern)"/> <!-- Header Section --> <text x="40" y="50" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">DNA STRUCTURE &amp; REPLICATION</text> <text x="40" y="75" font-family="sans-serif" font-size="14" fill="#94a3b8" letter-spacing="1">THE MOLECULAR ARCHITECTURE OF GENETIC INFORMATION</text> <rect x="40" y="90" width="120" height="4" rx="2" fill="url(#accentGrad)"/> <!-- Panel 1: Nucleotide Anatomy --> <rect x="40" y="120" width="260" height="240" rx="16" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <text x="60" y="150" font-family="sans-serif" font-weight="700" font-size="16" fill="#38bdf8">01. THE MONOMER</text> <!-- Nucleotide Diagram --> <g transform="translate(80, 240)"> <!-- Phosphate --> <circle cx="0" cy="-60" r="18" fill="#f59e0b" fill-opacity="0.2" stroke="#f59e0b" stroke-width="2"/> <text x="0" y="-56" font-family="sans-serif" font-size="10" font-weight="bold" fill="#f59e0b" text-anchor="middle">P</text> <!-- Sugar (Pentagon) --> <path d="M 0,0 L 30,-20 L 60,0 L 45,35 L 15,35 Z" fill="#38bdf8" fill-opacity="0.2" stroke="#38bdf8" stroke-width="2"/> <text x="30" y="15" font-family="sans-serif" font-size="9" fill="#f8fafc" text-anchor="middle">Deoxyribose</text> <!-- Base (Hexagon) --> <path d="M 60,0 L 90,-10 L 110,10 L 110,30 L 90,50 L 60,40 Z" fill="#e879f9" fill-opacity="0.2" stroke="#e879f9" stroke-width="2"/> <text x="85" y="23" font-family="sans-serif" font-size="9" fill="#f8fafc" text-anchor="middle">Base</text> <!-- Connectors --> <line x1="15" y1="-45" x2="15" y2="-10" stroke="#94a3b8" stroke-dasharray="2,2"/> <text x="10" y="-25" font-family="sans-serif" font-size="10" fill="#94a3b8">5' C</text> <text x="50" y="45" font-family="sans-serif" font-size="10" fill="#94a3b8">3' OH</text> </g> <text x="60" y="335" font-family="sans-serif" font-size="11" fill="#94a3b8" width="220"> <tspan x="60" dy="0">A nucleotide consists of a phosphate,</tspan> <tspan x="60" dy="14">a 2'-deoxyribose sugar, and one of</tspan> <tspan x="60" dy="14">four nitrogenous bases.</tspan> </text> <!-- Panel 2: The Double Helix (Center) --> <rect x="320" y="120" width="260" height="400" rx="16" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <text x="340" y="150" font-family="sans-serif" font-weight="700" font-size="16" fill="#e879f9">02. THE HELIX</text> <!-- Stylized Helix --> <g transform="translate(450, 180)"> <!-- Strands --> <path d="M -40,0 Q 40,50 -40,100 Q 40,150 -40,200 Q 40,250 -40,300" fill="none" stroke="#38bdf8" stroke-width="3" opacity="0.6"/> <path d="M 40,0 Q -40,50 40,100 Q -40,150 40,200 Q -40,250 40,300" fill="none" stroke="#e879f9" stroke-width="3" opacity="0.6"/> <!-- Base Pairs --> <line x1="-25" y1="25" x2="25" y2="25" stroke="#f8fafc" stroke-width="2" stroke-opacity="0.3"/> <line x1="-30" y1="75" x2="30" y2="75" stroke="#f8fafc" stroke-width="2" stroke-opacity="0.3"/> <line x1="-25" y1="125" x2="25" y2="125" stroke="#f8fafc" stroke-width="2" stroke-opacity="0.3"/> <line x1="-30" y1="175" x2="30" y2="175" stroke="#f8fafc" stroke-width="2" stroke-opacity="0.3"/> <line x1="-25" y1="225" x2="25" y2="225" stroke="#f8fafc" stroke-width="2" stroke-opacity="0.3"/> <line x1="-30" y1="275" x2="30" y2="275" stroke="#f8fafc" stroke-width="2" stroke-opacity="0.3"/> <!-- Polarity Labels --> <text x="-55" y="0" font-family="sans-serif" font-size="12" font-weight="bold" fill="#38bdf8">5'</text> <text x="45" y="0" font-family="sans-serif" font-size="12" font-weight="bold" fill="#e879f9">3'</text> <text x="-55" y="310" font-family="sans-serif" font-size="12" font-weight="bold" fill="#38bdf8">3'</text> <text x="45" y="310" font-family="sans-serif" font-size="12" font-weight="bold" fill="#e879f9">5'</text> </g> <text x="340" y="500" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle" transform="translate(130,0)"> <tspan x="0" dy="0">Antiparallel strands are held together</tspan> <tspan x="0" dy="14">by hydrogen bonds between complementary</tspan> <tspan x="0" dy="14">purines and pyrimidines.</tspan> </text> <!-- Panel 3: Replication (Right) --> <rect x="600" y="120" width="260" height="240" rx="16" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <text x="620" y="150" font-family="sans-serif" font-weight="700" font-size="16" fill="#f59e0b">03. REPLICATION</text> <!-- Replication Fork --> <g transform="translate(650, 180)"> <!-- Parent Strands --> <path d="M 0,80 L 80,80" stroke="#94a3b8" stroke-width="2" stroke-dasharray="4,2"/> <path d="M 80,80 L 160,40" stroke="#94a3b8" stroke-width="3"/> <path d="M 80,80 L 160,120" stroke="#94a3b8" stroke-width="3"/> <!-- Helicase --> <rect x="70" y="65" width="20" height="30" rx="4" fill="#f59e0b" filter="url(#glow)"/> <!-- New Strands --> <path d="M 160,55 L 100,85" stroke="#38bdf8" stroke-width="3" marker-end="url(#arrow)"/> <path d="M 110,105 L 160,105" stroke="#e879f9" stroke-width="3"/> <text x="165" y="35" font-family="sans-serif" font-size="10" fill="#f8fafc">Leading</text> <text x="165" y="135" font-family="sans-serif" font-size="10" fill="#f8fafc">Lagging</text> </g> <text x="620" y="335" font-family="sans-serif" font-size="11" fill="#94a3b8"> <tspan x="620" dy="0">DNA Polymerase synthesizes new</tspan> <tspan x="620" dy="14">strands in the 5' to 3' direction,</tspan> <tspan x="620" dy="14">creating Okazaki fragments on the</tspan> <tspan x="620" dy="14">lagging strand.</tspan> </text> <!-- Bottom Stats/Chargaff's Rule --> <rect x="40" y="380" width="260" height="140" rx="16" fill="#38bdf810" stroke="#38bdf830" stroke-width="1"/> <text x="60" y="410" font-family="sans-serif" font-weight="700" font-size="14" fill="#38bdf8">CHARGAFF'S EQUIVALENCE</text> <g transform="translate(60, 430)"> <rect x="0" y="0" width="100" height="30" rx="6" fill="#ffffff08"/> <text x="50" y="20" font-family="serif" font-size="18" font-weight="bold" fill="#f8fafc" text-anchor="middle">A = T</text> <rect x="110" y="0" width="100" height="30" rx="6" fill="#ffffff08"/> <text x="160" y="20" font-family="serif" font-size="18" font-weight="bold" fill="#f8fafc" text-anchor="middle">G ≡ C</text> <text x="0" y="55" font-family="sans-serif" font-size="11" fill="#94a3b8"> <tspan x="0" dy="0">Purines (A, G) always pair with</tspan> <tspan x="0" dy="14">Pyrimidines (T, C) via H-bonds.</tspan> </text> </g> <rect x="600" y="380" width="260" height="140" rx="16" fill="#e879f910" stroke="#e879f930" stroke-width="1"/> <text x="620" y="410" font-family="sans-serif" font-weight="700" font-size="14" fill="#e879f9">KEY DATA POINTS</text> <g transform="translate(620, 435)"> <text x="0" y="0" font-family="sans-serif" font-size="11" fill="#f8fafc">Helix Diameter:</text> <text x="180" y="0" font-family="sans-serif" font-size="11" font-weight="bold" fill="#38bdf8" text-anchor="end">2.0 nm</text> <text x="0" y="25" font-family="sans-serif" font-size="11" fill="#f8fafc">Base Pair Rise:</text> <text x="180" y="25" font-family="sans-serif" font-size="11" font-weight="bold" fill="#38bdf8" text-anchor="end">0.34 nm</text> <text x="0" y="50" font-family="sans-serif" font-size="11" fill="#f8fafc">Full Turn (10bp):</text> <text x="180" y="50" font-family="sans-serif" font-size="11" font-weight="bold" fill="#38bdf8" text-anchor="end">3.4 nm</text> </g> <!-- Footer --> <line x1="40" y1="540" x2="860" y2="540" stroke="#ffffff10" stroke-width="1"/> <text x="450" y="552" font-family="sans-serif" font-size="9" fill="#475569" text-anchor="middle">WIKI EDUCATIONAL SERIES • MOLECULAR BIOLOGY • PLATE 04-A</text> </svg>DNA Structure and Replication image 1DNA Structure and Replication - Introductory Biology - image 1https://www.getlykke.com/explore/public/introductory-biology-b36950be-aafa-4e22-9bdc-b291f812acc8/media/dna-structure-replication/svg/1DNA Structure and Replication diagram 1DNA Structure and Replication - Introductory Biology - diagram 1https://www.getlykke.com/explore/public/introductory-biology-b36950be-aafa-4e22-9bdc-b291f812acc8/media/dna-structure-replication/svg/2DNA Structure and Replication diagram 2DNA Structure and Replication - Introductory Biology - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <pattern id="grid" width="30" height="30" patternUnits="userSpaceOnUse"> <path d="M 30 0 L 0 0 0 30" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="450" y="55" font-family="Arial, sans-serif" font-size="32" font-weight="800" fill="#f8fafc" text-anchor="middle" letter-spacing="1">GENE EXPRESSION &amp; REGULATION</text> <rect x="350" y="68" width="200" height="4" fill="url(#accentGrad)" rx="2"/> <text x="450" y="95" font-family="Arial, sans-serif" font-size="14" fill="#94a3b8" text-anchor="middle" font-style="italic">From Information to Phenotype: The Molecular Architecture of Life</text> <!-- Central Dogma Flow --> <g transform="translate(150, 120)"> <rect width="600" height="60" rx="30" fill="#ffffff08" stroke="#ffffff15"/> <text x="30" y="35" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#38bdf8">DNA</text> <path d="M 70 30 L 180 30" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 2"/> <circle cx="210" cy="30" r="15" fill="#e879f9" opacity="0.8"/> <text x="202" y="35" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#f8fafc">RNA</text> <path d="M 240 30 L 350 30" stroke="#e879f9" stroke-width="2" stroke-dasharray="4 2"/> <polygon points="380,15 410,30 380,45" fill="#f59e0b" opacity="0.8"/> <text x="425" y="35" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#f59e0b">PROTEIN</text> <text x="125" y="52" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">Transcription</text> <text x="295" y="52" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">Translation</text> </g> <!-- Left Panel: Transcription --> <g transform="translate(40, 200)"> <rect width="400" height="330" rx="16" fill="#ffffff10" stroke="#ffffff15"/> <text x="20" y="35" font-family="Arial, sans-serif" font-size="20" font-weight="bold" fill="#f8fafc">Transcriptional Logic</text> <!-- DNA Strand Diagram --> <g transform="translate(20, 60)"> <path d="M 0 40 Q 40 10 80 40 T 160 40 T 240 40 T 320 40" stroke="#38bdf8" stroke-width="3" fill="none" opacity="0.6"/> <path d="M 0 50 Q 40 20 80 50 T 160 50 T 240 50 T 320 50" stroke="#38bdf8" stroke-width="3" fill="none" opacity="0.3"/> <!-- Promoter/Enhancer Markers --> <rect x="40" y="30" width="40" height="20" rx="4" fill="#f59e0b" opacity="0.8"/> <text x="42" y="25" font-family="Arial, sans-serif" font-size="10" fill="#f59e0b">Enhancer</text> <rect x="200" y="30" width="50" height="20" rx="4" fill="#38bdf8" opacity="0.8"/> <text x="200" y="25" font-family="Arial, sans-serif" font-size="10" fill="#38bdf8">Promoter</text> <!-- RNA Polymerase --> <ellipse cx="225" cy="45" rx="30" ry="20" fill="#ffffff20" stroke="#ffffff40"/> <text x="205" y="48" font-family="Arial, sans-serif" font-size="9" fill="#f8fafc">RNAP II</text> </g> <!-- Content Text --> <g transform="translate(20, 150)"> <text y="0" font-family="Arial, sans-serif" font-size="14" font-weight="bold" fill="#38bdf8">The Boltzmann Distribution</text> <text y="20" font-family="serif" font-size="13" fill="#f8fafc" font-style="italic">P(bound) = 1 / (1 + e^((ΔG - μ)/kT))</text> <text y="45" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8" width="360"> <tspan x="0" dy="0">Binding affinity is governed by Gibbs Free Energy.</tspan> <tspan x="0" dy="18">Small changes in TF concentration lead to non-linear</tspan> <tspan x="0" dy="18">shifts in gene expression levels.</tspan> </text> <rect y="100" width="360" height="60" rx="8" fill="#00000020"/> <text x="10" y="120" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#e879f9">Position Weight Matrix (PWM)</text> <text x="10" y="140" font-family="monospace" font-size="11" fill="#94a3b8">A: [ 1.2, -0.5, 0.1, 2.0 ]</text> <text x="10" y="152" font-family="monospace" font-size="11" fill="#94a3b8">G: [-0.8, -1.2, 1.8, -0.5 ]</text> </g> </g> <!-- Right Panel: Splicing --> <g transform="translate(460, 200)"> <rect width="400" height="330" rx="16" fill="#ffffff10" stroke="#ffffff15"/> <text x="20" y="35" font-family="Arial, sans-serif" font-size="20" font-weight="bold" fill="#f8fafc">The Splicing Code</text> <!-- Splicing Diagram --> <g transform="translate(20, 60)"> <!-- Pre-mRNA --> <rect x="0" y="10" width="40" height="15" rx="2" fill="#e879f9"/> <line x1="40" y1="17" x2="100" y2="17" stroke="#94a3b8" stroke-width="2"/> <rect x="100" y="10" width="40" height="15" rx="2" fill="#e879f9"/> <line x1="140" y1="17" x2="200" y2="17" stroke="#94a3b8" stroke-width="2"/> <rect x="200" y="10" width="40" height="15" rx="2" fill="#e879f9"/> <text x="0" y="5" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8">Pre-mRNA (Exons &amp; Introns)</text> <!-- Alternative Paths --> <path d="M 40 17 Q 70 -10 100 17" stroke="#f59e0b" fill="none" stroke-width="1.5" stroke-dasharray="2 2"/> <path d="M 40 17 Q 120 -30 200 17" stroke="#38bdf8" fill="none" stroke-width="1.5" stroke-dasharray="2 2"/> <!-- Resulting mRNAs --> <g transform="translate(0, 60)"> <rect x="0" y="0" width="30" height="10" rx="2" fill="#e879f9"/> <rect x="35" y="0" width="30" height="10" rx="2" fill="#e879f9"/> <rect x="70" y="0" width="30" height="10" rx="2" fill="#e879f9"/> <text x="110" y="9" font-family="Arial, sans-serif" font-size="10" fill="#f8fafc">Isoform A (1-2-3)</text> </g> <g transform="translate(0, 80)"> <rect x="0" y="0" width="30" height="10" rx="2" fill="#e879f9"/> <rect x="35" y="0" width="30" height="10" rx="2" fill="#e879f9" opacity="0.3"/> <rect x="70" y="0" width="30" height="10" rx="2" fill="#e879f9"/> <text x="110" y="9" font-family="Arial, sans-serif" font-size="10" fill="#f8fafc">Isoform B (1-3)</text> </g> </g> <!-- Content Text --> <g transform="translate(20, 180)"> <text y="0" font-family="Arial, sans-serif" font-size="14" font-weight="bold" fill="#e879f9">Spliceosome Mechanics</text> <circle cx="5" cy="25" r="3" fill="#38bdf8"/> <text x="15" y="29" font-family="Arial, sans-serif" font-size="12" fill="#f8fafc">Two-step transesterification</text> <circle cx="5" cy="45" r="3" fill="#38bdf8"/> <text x="15" y="49" font-family="Arial, sans-serif" font-size="12" fill="#f8fafc">Lariat structure formation</text> <text y="85" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8" width="360"> <tspan x="0" dy="0">Alternative splicing allows a single gene to</tspan> <tspan x="0" dy="18">encode multiple protein isoforms, vastly</tspan> <tspan x="0" dy="18">increasing proteomic complexity.</tspan> </text> <path d="M 0 130 L 360 130" stroke="#ffffff15" stroke-width="1"/> <text x="180" y="150" font-family="Arial, sans-serif" font-size="11" fill="#f59e0b" text-anchor="middle" font-weight="bold">THE SPLICING RULE</text> <text x="180" y="168" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">Selection is determined by cis-elements and trans-factors.</text> </g> </g> <!-- Decorative Footer --> <circle cx="850" cy="50" r="40" fill="#38bdf8" opacity="0.05"/> <circle cx="50" cy="510" r="30" fill="#e879f9" opacity="0.05"/> <text x="880" y="545" font-family="Arial, sans-serif" font-size="9" fill="#475569" text-anchor="end">BIO-INFO WIKI // SECTION 4.2</text> </svg>Gene Expression and Regulation image 1Gene Expression and Regulation - Introductory Biology - image 1https://www.getlykke.com/explore/public/introductory-biology-b36950be-aafa-4e22-9bdc-b291f812acc8/media/gene-expression-regulation/svg/1Gene Expression and Regulation diagram 1Gene Expression and Regulation - Introductory Biology - diagram 1https://www.getlykke.com/explore/public/introductory-biology-b36950be-aafa-4e22-9bdc-b291f812acc8/media/gene-expression-regulation/svg/2Gene Expression and Regulation diagram 2Gene Expression and Regulation - Introductory Biology - diagram 2https://www.getlykke.com/explore/public/introductory-biology-b36950be-aafa-4e22-9bdc-b291f812acc8/media/cell-structure-organelles/svg/1Cell Structure and Organelle Dynamics diagram 1Cell Structure and Organelle Dynamics - Introductory Biology - diagram 1https://www.getlykke.com/explore/public/introductory-biology-b36950be-aafa-4e22-9bdc-b291f812acc8/media/cell-structure-organelles/svg/2Cell Structure and Organelle Dynamics diagram 2Cell Structure and Organelle Dynamics - Introductory Biology - diagram 2https://www.getlykke.com/explore/public/introductory-biology-b36950be-aafa-4e22-9bdc-b291f812acc8/media/mendelian-genetics-meiosis/svg/1Mendelian Genetics and Meiosis diagram 1Mendelian Genetics and Meiosis - Introductory Biology - diagram 1https://www.getlykke.com/explore/public/introductory-biology-b36950be-aafa-4e22-9bdc-b291f812acc8/media/mendelian-genetics-meiosis/svg/2Mendelian Genetics and Meiosis diagram 2Mendelian Genetics and Meiosis - Introductory Biology - diagram 2https://www.getlykke.com/explore/public/introductory-biology-b36950be-aafa-4e22-9bdc-b291f812acc8/media/mendelian-genetics-meiosis/svg/3Mendelian Genetics and Meiosis diagram 3Mendelian Genetics and Meiosis - Introductory Biology - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dotPattern" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff08" /> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dotPattern)"/> <!-- Header --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">GENETIC MAPPING &amp; LINKAGE</text> <text x="450" y="75" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" font-style="italic">From Mendelian Assortment to Chromosomal Architecture</text> <line x1="350" y1="90" x2="550" y2="90" stroke="#38bdf8" stroke-width="2" stroke-linecap="round" opacity="0.6"/> <!-- Left Panel: The Mechanism --> <rect x="40" y="110" width="260" height="410" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="145" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">1. CROSSING OVER</text> <text x="60" y="165" font-family="sans-serif" font-size="12" fill="#94a3b8">Occurs during Prophase I of Meiosis</text> <!-- Chromosome Illustration --> <g transform="translate(80, 190)"> <!-- Chromosome A --> <path d="M20,0 Q30,50 20,100 M60,0 Q50,50 60,100" stroke="#38bdf8" stroke-width="12" stroke-linecap="round" fill="none" opacity="0.8"/> <!-- Chromosome B --> <path d="M100,0 Q90,50 100,100 M140,0 Q150,50 140,100" stroke="#f59e0b" stroke-width="12" stroke-linecap="round" fill="none" opacity="0.8"/> <!-- Chiasma --> <path d="M60,40 L100,60" stroke="#f8fafc" stroke-width="3" stroke-dasharray="4 2" filter="url(#glow)"/> <circle cx="80" cy="50" r="6" fill="#f8fafc" filter="url(#glow)"/> <text x="80" y="35" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#f8fafc" font-weight="bold">CHIASMA</text> </g> <text x="60" y="330" font-family="sans-serif" font-size="12" fill="#f8fafc" width="220"> <tspan x="60" dy="1.2em">Genes on the same chromosome</tspan> <tspan x="60" dy="1.2em">are "linked". Recombination via</tspan> <tspan x="60" dy="1.2em">synapsis is the only way to</tspan> <tspan x="60" dy="1.2em">uncouple their inheritance.</tspan> </text> <!-- Center Panel: The Map --> <rect x="320" y="110" width="260" height="410" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="340" y="145" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">2. GENETIC DISTANCE</text> <!-- Map Visualization --> <g transform="translate(340, 200)"> <!-- Chromosome Line --> <rect x="0" y="40" width="220" height="8" rx="4" fill="#1e293b"/> <rect x="0" y="40" width="220" height="8" rx="4" fill="#38bdf8" opacity="0.3"/> <!-- Gene Loci --> <circle cx="20" cy="44" r="6" fill="#f8fafc"/> <text x="20" y="30" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">A</text> <circle cx="60" cy="44" r="6" fill="#f8fafc"/> <text x="60" y="30" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">B</text> <circle cx="180" cy="44" r="6" fill="#f8fafc"/> <text x="180" y="30" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">C</text> <!-- Distance Brackets --> <path d="M20,65 L20,75 L60,75 L60,65" fill="none" stroke="#94a3b8" stroke-width="1.5"/> <text x="40" y="90" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#94a3b8">5 cM</text> <path d="M60,65 L60,75 L180,75 L180,65" fill="none" stroke="#94a3b8" stroke-width="1.5"/> <text x="120" y="90" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#94a3b8">25 cM</text> </g> <rect x="340" y="330" width="220" height="110" rx="8" fill="#00000030"/> <text x="350" y="355" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f59e0b">THE LINKAGE PRINCIPLE:</text> <text x="350" y="375" font-family="sans-serif" font-size="11" fill="#f8fafc"> <tspan x="350" dy="1.2em">Probability of crossover is</tspan> <tspan x="350" dy="1.2em">proportional to physical distance.</tspan> <tspan x="350" dy="1.5em" fill="#94a3b8">Close = Low RF (Linked)</tspan> <tspan x="350" dy="1.2em" fill="#94a3b8">Far = High RF (Unlinked)</tspan> </text> <!-- Right Panel: The Calculation --> <rect x="600" y="110" width="260" height="410" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="620" y="145" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">3. THE METRICS</text> <!-- Formula Box --> <g transform="translate(620, 180)"> <rect width="220" height="80" rx="8" fill="#38bdf815" stroke="#38bdf840"/> <text x="110" y="30" text-anchor="middle" font-family="serif" font-size="16" fill="#f8fafc">RF = (Recombinants / Total) × 100</text> <text x="110" y="60" text-anchor="middle" font-family="sans-serif" font-size="12" fill="#38bdf8" font-weight="bold">1% RF = 1 Centimorgan (cM)</text> </g> <!-- Key Facts List --> <g transform="translate(620, 290)"> <circle cx="5" cy="5" r="3" fill="#e879f9"/> <text x="15" y="10" font-family="sans-serif" font-size="12" fill="#f8fafc" font-weight="bold">The 50% Limit</text> <text x="15" y="25" font-family="sans-serif" font-size="11" fill="#94a3b8">Max observed RF is 50% due to</text> <text x="15" y="38" font-family="sans-serif" font-size="11" fill="#94a3b8">independent assortment.</text> <circle cx="5" cy="65" r="3" fill="#e879f9"/> <text x="15" y="70" font-family="sans-serif" font-size="12" fill="#f8fafc" font-weight="bold">Double Crossovers</text> <text x="15" y="85" font-family="sans-serif" font-size="11" fill="#94a3b8">Can mask recombination events</text> <text x="15" y="98" font-family="sans-serif" font-size="11" fill="#94a3b8">over long distances.</text> <circle cx="5" cy="125" r="3" fill="#e879f9"/> <text x="15" y="130" font-family="sans-serif" font-size="12" fill="#f8fafc" font-weight="bold">Three-Point Cross</text> <text x="15" y="145" font-family="sans-serif" font-size="11" fill="#94a3b8">The gold standard for determining</text> <text x="15" y="158" font-family="sans-serif" font-size="11" fill="#94a3b8">gene order and correcting DCOs.</text> </g> <!-- Footer Decor --> <rect x="40" y="535" width="820" height="4" rx="2" fill="#ffffff05"/> <text x="860" y="545" text-anchor="end" font-family="sans-serif" font-size="10" fill="#475569">GENETICS CURRICULUM • SECTION 4.2</text> </svg>Genetic Mapping and Linkage image 1Genetic Mapping and Linkage - Introductory Biology - image 1https://www.getlykke.com/explore/public/introductory-biology-b36950be-aafa-4e22-9bdc-b291f812acc8/media/genetic-mapping-linkage/svg/1Genetic Mapping and Linkage diagram 1Genetic Mapping and Linkage - Introductory Biology - diagram 1https://www.getlykke.com/explore/public/introductory-biology-b36950be-aafa-4e22-9bdc-b291f812acc8/media/genetic-mapping-linkage/svg/2Genetic Mapping and Linkage diagram 2Genetic Mapping and Linkage - Introductory Biology - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="30" height="30" patternUnits="userSpaceOnUse"> <path d="M 30 0 L 0 0 0 30" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="40" y="60" fill="#f8fafc" font-family="Arial, sans-serif" font-size="32" font-weight="900" letter-spacing="-0.5">RECOMBINANT DNA TECHNOLOGY</text> <text x="40" y="85" fill="#38bdf8" font-family="Arial, sans-serif" font-size="14" font-weight="600" letter-spacing="2">THE MOLECULAR BIOLOGY REVOLUTION</text> <line x1="40" y1="105" x2="860" y2="105" stroke="#ffffff20" stroke-width="1"/> <!-- Main Panel 1: The Toolkit --> <rect x="40" y="130" width="260" height="390" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="165" fill="#f59e0b" font-family="Arial, sans-serif" font-size="18" font-weight="bold">01. THE TOOLKIT</text> <text x="60" y="185" fill="#94a3b8" font-family="Arial, sans-serif" font-size="12">Restriction Endonucleases</text> <!-- Scissors Icon/Graphic --> <g transform="translate(60, 210)"> <path d="M 0 10 Q 50 10 100 10" stroke="#38bdf8" stroke-width="4" stroke-linecap="round"/> <path d="M 0 20 Q 50 20 100 20" stroke="#e879f9" stroke-width="4" stroke-linecap="round"/> <rect x="45" y="0" width="10" height="30" fill="#f59e0b" rx="2"/> <text x="0" y="55" fill="#f8fafc" font-family="Arial, sans-serif" font-size="13" font-weight="bold">Molecular Scissors</text> <text x="0" y="75" fill="#94a3b8" font-family="Arial, sans-serif" font-size="11" width="200"> <tspan x="0" dy="1.2em">Enzymes like EcoRI recognize</tspan> <tspan x="0" dy="1.2em">palindromic sequences and</tspan> <tspan x="0" dy="1.2em">create "Sticky Ends" for</tspan> <tspan x="0" dy="1.2em">precise genetic splicing.</tspan> </text> </g> <!-- Main Panel 2: The Vector --> <rect x="320" y="130" width="260" height="390" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="340" y="165" fill="#38bdf8" font-family="Arial, sans-serif" font-size="18" font-weight="bold">02. 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font-size="12" font-weight="bold">3</text> <text x="40" y="140" fill="#f8fafc" font-family="Arial, sans-serif" font-size="13" font-weight="bold">Transformation</text> <!-- Connectors --> <line x1="15" y1="27" x2="15" y2="63" stroke="#ffffff20" stroke-width="2" stroke-dasharray="4 2"/> <line x1="15" y1="87" x2="15" y2="123" stroke="#ffffff20" stroke-width="2" stroke-dasharray="4 2"/> <text x="0" y="190" fill="#94a3b8" font-family="Arial, sans-serif" font-size="11"> <tspan x="0" dy="1.2em">The "cut" gene is pasted into</tspan> <tspan x="0" dy="1.2em">the vector and introduced</tspan> <tspan x="0" dy="1.2em">into a host cell (e.g. E. coli)</tspan> <tspan x="0" dy="1.2em">for mass production.</tspan> </text> <!-- Result Icon --> <g transform="translate(0, 260)"> <rect width="220" height="45" rx="8" fill="#10b98120" stroke="#10b98140"/> <text x="110" y="28" text-anchor="middle" fill="#10b981" font-family="Arial, sans-serif" font-size="14" font-weight="bold">PRODUCT: e.g. INSULIN</text> </g> </g> <!-- Footer Info --> <text x="450" y="545" text-anchor="middle" fill="#475569" font-family="Arial, sans-serif" font-size="10" letter-spacing="1">WIKI EDUCATIONAL SERIES • MOLECULAR GENETICS • 2024</text> </svg>Recombinant DNA Technology image 1Recombinant DNA Technology - Introductory Biology - image 1https://www.getlykke.com/explore/public/introductory-biology-b36950be-aafa-4e22-9bdc-b291f812acc8/media/recombinant-dna-technology/svg/1Recombinant DNA Technology diagram 1Recombinant DNA Technology - Introductory Biology - diagram 1https://www.getlykke.com/explore/public/introductory-biology-b36950be-aafa-4e22-9bdc-b291f812acc8/media/recombinant-dna-technology/svg/2Recombinant DNA Technology diagram 2Recombinant DNA Technology - Introductory Biology - diagram 2https://www.getlykke.com/explore/public/introductory-biology-b36950be-aafa-4e22-9bdc-b291f812acc8/media/recombinant-dna-technology/svg/3Recombinant DNA Technology diagram 3Recombinant DNA Technology - Introductory Biology - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <!-- Background and Definitions --> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#020617"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="30" height="30" patternUnits="userSpaceOnUse"> <path d="M 30 0 L 0 0 0 30" fill="none" stroke="#ffffff0a" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> </defs> <!-- Base Layer --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="40" y="60" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">CELL SIGNALING</text> <text x="40" y="85" font-family="sans-serif" font-size="14" fill="#38bdf8" letter-spacing="3" font-weight="600">THE MOLECULAR LANGUAGE OF HOMEOSTASIS</text> <rect x="40" y="100" width="120" height="4" fill="url(#accentGrad)" rx="2"/> <!-- Left Column: Modes of Signaling --> <rect x="40" y="130" width="380" height="390" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="160" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">MODES OF COMMUNICATION</text> <!-- Endocrine --> <g transform="translate(60, 180)"> <rect width="340" height="70" rx="8" fill="#ffffff05"/> <circle cx="30" cy="35" r="18" fill="#38bdf822" stroke="#38bdf8" stroke-width="1.5"/> <path d="M 22 35 H 38 M 30 27 V 43" stroke="#38bdf8" stroke-width="2"/> <text x="60" y="30" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">Endocrine (Long Distance)</text> <text x="60" y="48" font-family="sans-serif" font-size="11" fill="#94a3b8">Hormones travel via bloodstream. e.g., Insulin.</text> </g> <!-- Paracrine --> <g transform="translate(60, 260)"> <rect width="340" height="70" rx="8" fill="#ffffff05"/> <circle cx="30" cy="35" r="18" fill="#e879f922" stroke="#e879f9" stroke-width="1.5"/> <circle cx="25" cy="30" r="3" fill="#e879f9"/> <circle cx="35" cy="40" r="3" fill="#e879f9"/> <text x="60" y="30" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">Paracrine (Short Distance)</text> <text x="60" y="48" font-family="sans-serif" font-size="11" fill="#94a3b8">Diffusion to nearby cells. e.g., Neurotransmitters.</text> </g> <!-- Autocrine --> <g transform="translate(60, 340)"> <rect width="340" height="70" rx="8" fill="#ffffff05"/> <circle cx="30" cy="35" r="18" fill="#10b98122" stroke="#10b981" stroke-width="1.5"/> <path d="M 40 35 A 10 10 0 1 1 30 25" fill="none" stroke="#10b981" stroke-width="2"/> <text x="60" y="30" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">Autocrine (Self-Signaling)</text> <text x="60" y="48" font-family="sans-serif" font-size="11" fill="#94a3b8">Cell targets itself. e.g., T-cell proliferation.</text> </g> <!-- Juxtacrine --> <g transform="translate(60, 420)"> <rect width="340" height="70" rx="8" fill="#ffffff05"/> <circle cx="22" cy="35" r="12" fill="#f59e0b22" stroke="#f59e0b" stroke-width="1.5"/> <circle cx="38" cy="35" r="12" fill="#f59e0b22" stroke="#f59e0b" stroke-width="1.5"/> <text x="60" y="30" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">Juxtacrine (Contact Dependent)</text> <text x="60" y="48" font-family="sans-serif" font-size="11" fill="#94a3b8">Direct physical contact. e.g., Notch signaling.</text> </g> <!-- Right Column: GPCR Molecular Switch --> <rect x="440" y="130" width="420" height="280" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="460" y="160" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">GPCR: THE MOLECULAR SWITCH</text> 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width="900" height="560" fill="url(#dots)"/> <!-- Decorative Grid Lines --> <line x1="50" y1="80" x2="850" y2="80" stroke="#ffffff15" stroke-width="1"/> <line x1="50" y1="500" x2="850" y2="500" stroke="#ffffff15" stroke-width="1"/> <!-- Header --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-size="32" font-weight="bold" fill="#f8fafc" letter-spacing="1">CELL CYCLE REGULATION</text> <text x="450" y="72" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="normal" fill="#94a3b8" text-transform="uppercase">The Molecular Architecture of Cellular Division &amp; Oncogenesis</text> <!-- Central Cycle Graphic --> <g transform="translate(450, 290)"> <!-- Outer Ring --> <circle r="120" fill="none" stroke="#ffffff10" stroke-width="40"/> <!-- Phase Segments --> <path d="M 0 -120 A 120 120 0 0 1 114 -37" fill="none" stroke="#38bdf8" stroke-width="40" stroke-opacity="0.8"/> <!-- G1 --> <path d="M 114 -37 A 120 120 0 0 1 37 114" fill="none" stroke="#e879f9" stroke-width="40" stroke-opacity="0.8"/> <!-- S --> <path d="M 37 114 A 120 120 0 0 1 -114 37" fill="none" stroke="#f59e0b" stroke-width="40" stroke-opacity="0.8"/> <!-- G2 --> <path d="M -114 37 A 120 120 0 0 1 0 -120" fill="none" stroke="#ef4444" stroke-width="40" stroke-opacity="0.8"/> <!-- M --> <!-- Phase Labels --> <text x="70" y="-70" font-family="sans-serif" font-size="22" font-weight="bold" fill="#f8fafc" text-anchor="middle">G1</text> <text x="80" y="60" font-family="sans-serif" font-size="22" font-weight="bold" fill="#f8fafc" text-anchor="middle">S</text> <text x="-70" y="80" font-family="sans-serif" font-size="22" font-weight="bold" fill="#f8fafc" text-anchor="middle">G2</text> <text x="-80" y="-60" font-family="sans-serif" font-size="22" font-weight="bold" fill="#f8fafc" text-anchor="middle">M</text> <!-- Center Core --> <circle r="60" fill="#ffffff08" stroke="#ffffff20" stroke-width="1"/> <text y="-5" text-anchor="middle" font-family="sans-serif" font-size="12" font-weight="bold" fill="#38bdf8">CONTROL</text> <text y="15" text-anchor="middle" font-family="sans-serif" font-size="12" font-weight="bold" fill="#38bdf8">ENGINE</text> </g> <!-- Left Panel: The Engine --> <rect x="40" y="110" width="260" height="360" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="145" font-family="sans-serif" font-size="18" font-weight="bold" fill="#38bdf8">The Molecular Engine</text> <text x="60" y="165" font-family="sans-serif" font-size="12" fill="#94a3b8">Cyclin-Cdk Oscillations</text> <!-- Engine Details --> <g transform="translate(60, 190)"> <rect width="220" height="45" rx="8" fill="#ffffff05"/> <circle cx="20" cy="22" r="12" fill="#38bdf8" fill-opacity="0.2" stroke="#38bdf8"/> <text x="45" y="18" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">G1: Cyclin D</text> <text x="45" y="34" font-family="sans-serif" font-size="11" fill="#94a3b8">Partner: Cdk4 / Cdk6</text> <rect y="55" width="220" height="45" rx="8" fill="#ffffff05"/> <circle cx="20" cy="77" r="12" fill="#e879f9" fill-opacity="0.2" stroke="#e879f9"/> <text x="45" y="73" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">S: Cyclin A</text> <text x="45" y="89" font-family="sans-serif" font-size="11" fill="#94a3b8">Partner: Cdk2 / Cdk1</text> <rect y="110" width="220" height="45" rx="8" fill="#ffffff05"/> <circle cx="20" cy="132" r="12" fill="#ef4444" fill-opacity="0.2" stroke="#ef4444"/> <text x="45" y="128" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">M: Cyclin B</text> <text x="45" y="144" font-family="sans-serif" font-size="11" fill="#94a3b8">Partner: Cdk1 (MPF)</text> <text y="190" font-family="sans-serif" font-size="12" fill="#f8fafc" font-style="italic">"The UPS system ensures rapid,</text> <text y="206" font-family="sans-serif" font-size="12" fill="#f8fafc" font-style="italic">irreversible cyclin degradation."</text> </g> <!-- Right Panel: The Switch --> <rect x="600" y="110" width="260" height="360" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="620" y="145" font-family="sans-serif" font-size="18" font-weight="bold" fill="#f59e0b">The R-Point Switch</text> <text x="620" y="165" font-family="sans-serif" font-size="12" fill="#94a3b8">The RB / E2F Pathway</text> <!-- Switch Diagram --> <g transform="translate(620, 190)"> <!-- State 1: OFF --> <rect width="220" height="80" rx="8" fill="#ef444415" stroke="#ef444430"/> <circle cx="30" cy="40" r="15" fill="#ef4444" fill-opacity="0.5"/> <text x="55" y="35" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">OFF: RB Sequestration</text> <text x="55" y="52" font-family="sans-serif" font-size="11" fill="#94a3b8">RB binds E2F, blocking S-phase</text> <text x="55" y="65" font-family="sans-serif" font-size="11" fill="#94a3b8">gene transcription.</text> <!-- Arrow --> <path d="M 110 90 L 110 110" stroke="#94a3b8" stroke-width="2" marker-end="url(#arrowhead)"/> <!-- State 2: ON --> <rect y="120" width="220" height="80" rx="8" fill="#22c55e15" stroke="#22c55e30"/> <circle cx="30" cy="160" r="15" fill="#22c55e" fill-opacity="0.5"/> <text x="55" y="155" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">ON: Hyper-phosphorylation</text> <text x="55" y="172" font-family="sans-serif" font-size="11" fill="#94a3b8">Cdk4/6 phosphorylates RB.</text> <text x="55" y="185" font-family="sans-serif" font-size="11" fill="#94a3b8">E2F is released → S-Phase Entry.</text> <!-- Feedback Loop --> <path d="M 220 160 Q 250 160 250 100 Q 250 40 220 40" fill="none" stroke="#38bdf8" stroke-width="1" stroke-dasharray="4"/> <text x="170" y="110" font-family="sans-serif" font-size="10" fill="#38bdf8" text-anchor="middle" transform="rotate(-90 170 110)">Positive Feedback</text> </g> <!-- Bottom Bar: Oncogenesis --> <rect x="40" y="490" width="820" height="50" rx="12" fill="#ef444410" stroke="#ef444430"/> <circle cx="70" cy="515" r="8" fill="#ef4444" filter="url(#glow)"/> <text x="95" y="512" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">ONCOGENESIS:</text> <text x="205" y="512" font-family="sans-serif" font-size="13" fill="#94a3b8">When checkpoints fail (e.g., p53 mutation or RB loss), the cell cycle becomes an autonomous, unstoppable engine.</text> <text x="95" y="528" font-family="sans-serif" font-size="11" fill="#ef4444" font-weight="bold">MALIGNANT TRANSFORMATION</text> <!-- Legend/Markers --> <defs> <marker id="arrowhead" markerWidth="10" markerHeight="7" refX="0" refY="3.5" orient="auto"> <polygon points="0 0, 10 3.5, 0 7" fill="#94a3b8" /> </marker> </defs> </svg>Cell Cycle Regulation and Cancer Biology image 1Cell Cycle Regulation and Cancer Biology - Introductory Biology - image 1https://www.getlykke.com/explore/public/introductory-biology-b36950be-aafa-4e22-9bdc-b291f812acc8/media/cell-cycle-cancer-biology/svg/1Cell Cycle Regulation and Cancer Biology diagram 1Cell Cycle Regulation and Cancer Biology - Introductory Biology - diagram 1https://www.getlykke.com/explore/public/introductory-biology-b36950be-aafa-4e22-9bdc-b291f812acc8/media/cell-cycle-cancer-biology/svg/2Cell Cycle Regulation and Cancer Biology diagram 2Cell Cycle Regulation and Cancer Biology - Introductory Biology - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accent-blue" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#0ea5e9"/> </linearGradient> <linearGradient id="accent-amber" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#f59e0b"/> <stop offset="100%" stop-color="#d97706"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="3" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="40" y="60" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">Neurobiology &amp; Optogenetics</text> <text x="40" y="85" font-family="sans-serif" font-size="14" fill="#94a3b8" letter-spacing="1">MAPPING THE ELECTROCHEMICAL FRONTIER</text> <line x1="40" y1="105" x2="860" y2="105" stroke="#ffffff20" stroke-width="1"/> <!-- Panel 1: The Resting State --> <rect x="40" y="130" width="260" height="390" rx="16" fill="#ffffff0a" stroke="#ffffff10"/> <text x="60" y="165" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">01. The Resting State</text> <text x="60" y="185" font-family="sans-serif" font-size="12" fill="#94a3b8">The potential energy of readiness.</text> <!-- Na/K Pump Icon --> <circle cx="170" cy="250" r="40" fill="none" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 2"/> <path d="M 150 240 Q 170 210 190 240" fill="none" stroke="#f59e0b" stroke-width="3" marker-end="url(#arrow)"/> <text x="145" y="230" font-family="sans-serif" font-size="10" fill="#f59e0b" font-weight="bold">3 Na+</text> <path d="M 190 260 Q 170 290 150 260" fill="none" stroke="#e879f9" stroke-width="3"/> <text x="175" y="285" font-family="sans-serif" font-size="10" fill="#e879f9" font-weight="bold">2 K+</text> <rect x="60" y="320" width="220" height="60" rx="8" fill="#ffffff08"/> <text x="75" y="340" font-family="sans-serif" font-size="11" fill="#f8fafc" font-weight="bold">Equilibrium Potential</text> <text x="75" y="358" font-family="sans-serif" font-size="13" fill="#38bdf8" font-weight="800">-70 mV</text> <text x="140" y="358" font-family="sans-serif" font-size="11" fill="#94a3b8">Resting Vm</text> <text x="60" y="410" font-family="sans-serif" font-size="12" fill="#f8fafc" font-weight="600">The GHK Equation</text> <text x="60" y="430" font-family="sans-serif" font-size="11" fill="#94a3b8">Determines membrane potential</text> <text x="60" y="445" font-family="sans-serif" font-size="11" fill="#94a3b8">based on relative permeability (P).</text> <!-- Panel 2: The Action Potential --> <rect x="320" y="130" width="260" height="390" rx="16" fill="#ffffff0a" stroke="#ffffff10"/> <text x="340" y="165" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">02. The Digital Pulse</text> <text x="340" y="185" font-family="sans-serif" font-size="12" fill="#94a3b8">The all-or-none electrical event.</text> <!-- AP Graph --> <path d="M 350 300 L 400 300 L 420 220 L 440 330 L 480 300 L 530 300" fill="none" stroke="#e879f9" stroke-width="3" filter="url(#glow)"/> <circle cx="420" cy="220" r="4" fill="#f8fafc"/> <text x="430" y="215" font-family="sans-serif" font-size="10" fill="#f8fafc">+40mV</text> <rect x="340" y="350" width="220" height="140" rx="8" fill="#ffffff08"/> <text x="355" y="375" font-family="sans-serif" font-size="12" fill="#f8fafc" font-weight="bold">1. Depolarization</text> <text x="355" y="390" font-family="sans-serif" font-size="11" fill="#94a3b8">Na+ channels open rapidly.</text> <text x="355" y="415" font-family="sans-serif" font-size="12" fill="#f8fafc" font-weight="bold">2. Repolarization</text> <text x="355" y="430" font-family="sans-serif" font-size="11" fill="#94a3b8">K+ channels open, Na+ inactivates.</text> <text x="355" y="455" font-family="sans-serif" font-size="12" fill="#f8fafc" font-weight="bold">3. Hyperpolarization</text> <text x="355" y="470" font-family="sans-serif" font-size="11" fill="#94a3b8">Overshoot toward Ek (-90mV).</text> <!-- Panel 3: Optogenetics --> <rect x="600" y="130" width="260" height="390" rx="16" fill="#ffffff15" stroke="#38bdf840"/> <text x="620" y="165" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">03. Optogenetics</text> <text x="620" y="185" font-family="sans-serif" font-size="12" fill="#94a3b8">Precision control with light.</text> <!-- Light Control Illustration --> <rect x="640" y="210" width="180" height="80" rx="8" fill="#00000040"/> <path d="M 660 200 L 660 240" stroke="#38bdf8" stroke-width="4" filter="url(#glow)"/> <circle cx="660" cy="250" r="15" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <text x="685" y="245" font-family="sans-serif" font-size="11" fill="#f8fafc" font-weight="bold">ChR2 (Blue)</text> <text x="685" y="260" font-family="sans-serif" font-size="10" fill="#38bdf8">Excitation (Na+ In)</text> <path d="M 660 280 L 660 320" stroke="#f59e0b" stroke-width="4" filter="url(#glow)"/> <circle cx="660" cy="330" r="15" fill="#f59e0b20" stroke="#f59e0b" stroke-width="2"/> <text x="685" y="325" font-family="sans-serif" font-size="11" fill="#f8fafc" font-weight="bold">NpHR (Yellow)</text> <text x="685" y="340" font-family="sans-serif" font-size="10" fill="#f59e0b">Inhibition (Cl- In)</text> <text x="620" y="390" font-family="sans-serif" font-size="12" fill="#f8fafc" font-weight="600">The Methodology</text> <g transform="translate(620, 410)"> <circle cx="5" cy="5" r="3" fill="#38bdf8"/> <text x="15" y="9" font-family="sans-serif" font-size="11" fill="#94a3b8">Genetic insertion of opsins</text> <circle cx="5" cy="25" r="3" fill="#38bdf8"/> <text x="15" y="29" font-family="sans-serif" font-size="11" fill="#94a3b8">Fiber optic implantation</text> <circle cx="5" cy="45" r="3" fill="#38bdf8"/> <text x="15" y="49" font-family="sans-serif" font-size="11" fill="#94a3b8">Millisecond-scale temporal control</text> <circle cx="5" cy="65" r="3" fill="#38bdf8"/> <text x="15" y="69" font-family="sans-serif" font-size="11" fill="#94a3b8">Cell-type specific targeting</text> </g> <!-- Footer Info --> <rect x="40" y="530" width="820" height="1" fill="#ffffff20"/> <text x="40" y="550" font-family="sans-serif" font-size="10" fill="#64748b">NEUROBIOLOGY WIKI SECTION // BIOPHYSICS &amp; OPTICAL NEUROSCIENCE</text> <text x="760" y="550" font-family="sans-serif" font-size="10" fill="#64748b" text-anchor="end">HODGKIN-HUXLEY MODEL v1.0</text> </svg>Neurobiology and Optogenetics image 1Neurobiology and Optogenetics - Introductory Biology - image 1https://www.getlykke.com/explore/public/introductory-biology-b36950be-aafa-4e22-9bdc-b291f812acc8/media/neurobiology-optogenetics/svg/1Neurobiology and Optogenetics diagram 1Neurobiology and Optogenetics - Introductory Biology - diagram 1https://www.getlykke.com/explore/public/introductory-biology-b36950be-aafa-4e22-9bdc-b291f812acc8/media/neurobiology-optogenetics/svg/2Neurobiology and Optogenetics diagram 2Neurobiology and Optogenetics - Introductory Biology - diagram 2https://www.getlykke.com/explore/public/statistics-and-probability-b71199d8-8b56-46fd-a7b9-599a91a064e12026-04-20T04:40:23.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Decorative Shapes --> <circle cx="850" cy="50" r="100" fill="#38bdf8" fill-opacity="0.05"/> <circle cx="50" cy="510" r="80" fill="#e879f9" fill-opacity="0.05"/> <!-- Header --> <text x="450" y="60" text-anchor="middle" font-family="system-ui, sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">ANALYZING CATEGORICAL DATA</text> <rect x="400" y="75" width="100" height="4" rx="2" fill="#38bdf8"/> <text x="450" y="100" text-anchor="middle" font-family="system-ui, sans-serif" font-size="14" fill="#94a3b8" font-style="italic">The Gateway to Qualitative Insight and Logical Association</text> <!-- Section 1: Classification --> <rect x="40" y="130" width="260" height="380" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="165" font-family="system-ui, sans-serif" font-weight="700" font-size="18" fill="#38bdf8">I. VARIABLE TAXONOMY</text> <g transform="translate(60, 190)"> <rect width="220" height="70" rx="8" fill="#ffffff08"/> <circle cx="20" cy="20" r="8" fill="#f59e0b"/> <text x="40" y="25" font-family="system-ui, sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Nominal</text> <text x="40" y="45" font-family="system-ui, sans-serif" font-size="12" fill="#94a3b8">Pure labels without order.</text> <text x="40" y="60" font-family="system-ui, sans-serif" font-size="11" fill="#38bdf8" font-style="italic">Ex: Blood Type, Zip Code</text> </g> <g transform="translate(60, 275)"> <rect width="220" height="70" rx="8" fill="#ffffff08"/> <path d="M 12 28 L 28 28 L 20 12 Z" fill="#e879f9"/> <text x="40" y="25" font-family="system-ui, sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Ordinal</text> <text x="40" y="45" font-family="system-ui, sans-serif" font-size="12" fill="#94a3b8">Categories with natural rank.</text> <text x="40" y="60" font-family="system-ui, sans-serif" font-size="11" fill="#38bdf8" font-style="italic">Ex: Rating (Low to High)</text> </g> <g transform="translate(60, 360)"> <text x="0" y="20" font-family="system-ui, sans-serif" font-weight="600" font-size="13" fill="#f8fafc">The Pitfall Check:</text> <rect x="0" y="30" width="220" height="100" rx="8" fill="#ef444415" stroke="#ef444433"/> <text x="15" y="55" font-family="system-ui, sans-serif" font-size="12" fill="#f8fafc">Numbers ≠ Quantitative</text> <text x="15" y="75" font-family="system-ui, sans-serif" font-size="11" fill="#94a3b8" width="190">If the average is meaningless,</text> <text x="15" y="90" font-family="system-ui, sans-serif" font-size="11" fill="#94a3b8">the variable is categorical.</text> <text x="15" y="110" font-family="system-ui, sans-serif" font-weight="700" font-size="11" fill="#f59e0b"># Jersey Numbers</text> </g> <!-- Section 2: Frequency Mechanics --> <rect x="320" y="130" width="260" height="380" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="340" y="165" font-family="system-ui, sans-serif" font-weight="700" font-size="18" fill="#f59e0b">II. FREQUENCY FLOW</text> <g transform="translate(340, 190)"> <text x="0" y="15" font-family="system-ui, sans-serif" font-weight="600" font-size="14" fill="#f8fafc">1. Raw Frequency (Count)</text> <rect x="0" y="30" width="40" height="10" rx="2" fill="#38bdf8"/> <rect x="0" y="45" width="70" height="10" rx="2" fill="#38bdf8"/> <rect x="0" y="60" width="30" height="10" rx="2" fill="#38bdf8"/> <text x="0" y="100" font-family="system-ui, sans-serif" font-weight="600" font-size="14" fill="#f8fafc">2. Relative Frequency</text> <rect x="0" y="115" width="220" height="45" rx="8" fill="#38bdf815"/> <text x="110" y="142" text-anchor="middle" font-family="serif" font-size="16" fill="#f8fafc">f / n = %</text> <text x="0" y="185" font-family="system-ui, sans-serif" font-weight="600" font-size="14" fill="#f8fafc">3. Visualization</text> <g transform="translate(10, 205)"> <!-- Mini Bar Chart --> <rect x="10" y="40" width="15" height="40" fill="#e879f9" rx="2"/> <rect x="35" y="20" width="15" height="60" fill="#38bdf8" rx="2"/> <rect x="60" y="50" width="15" height="30" fill="#f59e0b" rx="2"/> <line x1="0" y1="80" x2="90" y2="80" stroke="#94a3b8" stroke-width="1"/> <text x="110" y="45" font-family="system-ui, sans-serif" font-size="11" fill="#94a3b8">Bar Graphs:</text> <text x="110" y="60" font-family="system-ui, sans-serif" font-size="11" fill="#f8fafc">Best for comparison</text> </g> <g transform="translate(10, 300)"> <!-- Mini Pie Chart --> <path d="M 40 40 L 40 5 A 35 35 0 0 1 75 40 Z" fill="#38bdf8"/> <path d="M 40 40 L 75 40 A 35 35 0 1 1 40 5 Z" fill="#ffffff15" stroke="#ffffff33"/> <text x="110" y="35" font-family="system-ui, sans-serif" font-size="11" fill="#94a3b8">Pie Charts:</text> <text x="110" y="50" font-family="system-ui, sans-serif" font-size="11" fill="#f8fafc">Parts of a whole</text> </g> </g> <!-- Section 3: Two-Way Tables --> <rect x="600" y="130" width="260" height="380" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="620" y="165" font-family="system-ui, sans-serif" font-weight="700" font-size="18" fill="#e879f9">III. ASSOCIATION</text> <g transform="translate(620, 190)"> <text x="0" y="15" font-family="system-ui, sans-serif" font-weight="600" font-size="14" fill="#f8fafc">The Two-Way Table</text> <!-- Table Grid --> <g transform="translate(0, 35)"> <rect width="220" height="120" rx="8" fill="#ffffff05" stroke="#ffffff15"/> <line x1="70" y1="0" x2="70" y2="120" stroke="#ffffff15"/> <line x1="145" y1="0" x2="145" y2="120" stroke="#ffffff15"/> <line x1="0" y1="40" x2="220" y2="40" stroke="#ffffff15"/> <line x1="0" y1="80" x2="220" y2="80" stroke="#ffffff15"/> <!-- Table Labels --> <text x="35" y="25" text-anchor="middle" font-family="system-ui, sans-serif" font-size="10" fill="#94a3b8">Var A</text> <text x="107" y="25" text-anchor="middle" font-family="system-ui, sans-serif" font-size="10" fill="#94a3b8">Var B</text> <text x="182" y="25" text-anchor="middle" font-family="system-ui, sans-serif" font-weight="700" font-size="10" fill="#38bdf8">Total</text> <!-- Highlighted Cells --> <rect x="71" y="41" width="73" height="38" fill="#38bdf815"/> <text x="107" y="65" text-anchor="middle" font-family="system-ui, sans-serif" font-size="11" fill="#f8fafc">Joint</text> <rect x="146" y="81" width="73" height="38" fill="#f59e0b25" rx="0 0 8 0"/> <text x="182" y="105" text-anchor="middle" font-family="system-ui, sans-serif" font-size="11" fill="#f59e0b">Marginal</text> </g> <g transform="translate(0, 180)"> <text x="0" y="15" font-family="system-ui, sans-serif" font-weight="600" font-size="13" fill="#f8fafc">Marginal Distribution</text> <text x="0" y="35" font-family="system-ui, sans-serif" font-size="11" fill="#94a3b8" width="220">Focuses on one variable alone</text> <text x="0" y="50" font-family="system-ui, sans-serif" font-size="11" fill="#94a3b8">using the row or column totals.</text> <text x="0" y="85" font-family="system-ui, sans-serif" font-weight="600" font-size="13" fill="#f8fafc">Conditional Distribution</text> <text x="0" y="105" font-family="system-ui, sans-serif" font-size="11" fill="#94a3b8">Describes the values of a variable</text> <text x="0" y="120" font-family="system-ui, sans-serif" font-size="11" fill="#94a3b8">among a specific subset.</text> </g> </g> <!-- Footer Info --> <text x="450" y="540" text-anchor="middle" font-family="system-ui, sans-serif" font-size="10" fill="#475569" letter-spacing="2">STATISTICS &amp; DATA ANALYSIS • CORE CONCEPTS • MODULE 01</text> </svg>Analyzing Categorical Data image 1Analyzing Categorical Data - Statistics and Probability - image 1https://www.getlykke.com/explore/public/statistics-and-probability-b71199d8-8b56-46fd-a7b9-599a91a064e1/media/categorical-data-analysis/svg/1Analyzing Categorical Data diagram 1Analyzing Categorical Data - Statistics and Probability - diagram 1https://www.getlykke.com/explore/public/statistics-and-probability-b71199d8-8b56-46fd-a7b9-599a91a064e1/media/categorical-data-analysis/svg/2Analyzing Categorical Data diagram 2Analyzing Categorical Data - Statistics and Probability - diagram 2https://www.getlykke.com/explore/public/statistics-and-probability-b71199d8-8b56-46fd-a7b9-599a91a064e1/media/categorical-data-analysis/svg/3Analyzing Categorical Data diagram 3Analyzing Categorical Data - Statistics and Probability - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="30" height="30" patternUnits="userSpaceOnUse"> <path d="M 30 0 L 0 0 0 30" fill="none" stroke="#ffffff05" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="30" fill="#f8fafc" letter-spacing="1">QUANTITATIVE DATA ANALYSIS</text> <text x="450" y="72" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" font-weight="400">Visualizing Distributions and Calculating Central Tendency</text> <rect x="350" y="85" width="200" height="2" fill="#38bdf8" opacity="0.6"/> <!-- Section 1: SOCS Framework (Left Column) --> <g transform="translate(40, 110)"> <rect width="380" height="180" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="20" y="30" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">The S.O.C.S. Framework</text> <!-- Shape --> <g transform="translate(20, 55)"> <circle cx="15" cy="15" r="15" fill="#38bdf820"/> <path d="M 5 22 Q 15 5 25 22" fill="none" stroke="#38bdf8" stroke-width="2"/> <text x="40" y="12" font-family="sans-serif" font-weight="700" font-size="13" fill="#f8fafc">SHAPE</text> <text x="40" y="26" font-family="sans-serif" font-size="11" fill="#94a3b8">Symmetry, Skewness, Modality</text> </g> <!-- Outliers --> <g transform="translate(200, 55)"> <circle cx="15" cy="15" r="15" fill="#e879f920"/> <circle cx="10" cy="15" r="2" fill="#e879f9"/> <circle cx="15" cy="15" r="2" fill="#e879f9"/> <circle cx="28" cy="8" r="3" fill="#fb7185" filter="url(#glow)"/> <text x="40" y="12" font-family="sans-serif" font-weight="700" font-size="13" fill="#f8fafc">OUTLIERS</text> <text x="40" y="26" font-family="sans-serif" font-size="11" fill="#94a3b8">Values outside the pattern</text> </g> <!-- Center --> <g transform="translate(20, 115)"> <circle cx="15" cy="15" r="15" fill="#f59e0b20"/> <circle cx="15" cy="15" r="8" fill="none" stroke="#f59e0b" stroke-width="1.5"/> <circle cx="15" cy="15" r="2" fill="#f59e0b"/> <text x="40" y="12" font-family="sans-serif" font-weight="700" font-size="13" fill="#f8fafc">CENTER</text> <text x="40" y="26" font-family="sans-serif" font-size="11" fill="#94a3b8">The "Typical" value (Mean/Median)</text> </g> <!-- Spread --> <g transform="translate(200, 115)"> <circle cx="15" cy="15" r="15" fill="#10b98120"/> <path d="M 5 15 L 25 15 M 5 10 L 5 20 M 25 10 L 25 20" fill="none" stroke="#10b981" stroke-width="1.5"/> <text x="40" y="12" font-family="sans-serif" font-weight="700" font-size="13" fill="#f8fafc">SPREAD</text> <text x="40" y="26" font-family="sans-serif" font-size="11" fill="#94a3b8">Variation, Range, and IQR</text> </g> </g> <!-- Section 2: Visualization (Bottom Left) --> <g transform="translate(40, 310)"> <rect width="380" height="210" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="20" y="30" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">Visual Toolkit</text> <!-- Dot Plot --> <g transform="translate(20, 50)"> <text x="0" y="0" font-family="sans-serif" font-size="12" font-weight="600" fill="#f8fafc">Dot Plot (Small n)</text> <line x1="0" y1="35" x2="140" y2="35" stroke="#94a3b8" stroke-width="1"/> <circle cx="10" cy="30" r="3" fill="#38bdf8"/> <circle cx="30" cy="30" r="3" fill="#38bdf8"/> <circle cx="30" cy="22" r="3" fill="#38bdf8"/> <circle cx="50" cy="30" r="3" fill="#38bdf8"/> <circle cx="50" cy="22" r="3" fill="#38bdf8"/> <circle cx="50" cy="14" r="3" fill="#38bdf8"/> <circle cx="70" cy="30" r="3" fill="#38bdf8"/> <text x="0" y="52" font-family="sans-serif" font-size="10" fill="#94a3b8">Granular, shows every point.</text> </g> <!-- Histogram --> <g transform="translate(190, 50)"> <text x="0" y="0" font-family="sans-serif" font-size="12" font-weight="600" fill="#f8fafc">Histogram (Large n)</text> <rect x="0" y="20" width="25" height="15" fill="#e879f9" opacity="0.8"/> <rect x="26" y="10" width="25" height="25" fill="#e879f9" opacity="0.8"/> <rect x="52" y="5" width="25" height="30" fill="#e879f9" opacity="0.8"/> <rect x="78" y="15" width="25" height="20" fill="#e879f9" opacity="0.8"/> <line x1="0" y1="35" x2="110" y2="35" stroke="#94a3b8" stroke-width="1"/> <text x="0" y="52" font-family="sans-serif" font-size="10" fill="#94a3b8">Aggregated into bins.</text> </g> <!-- Binning Rule --> <rect x="20" y="130" width="340" height="60" rx="8" fill="#f59e0b10" stroke="#f59e0b40"/> <text x="35" y="150" font-family="sans-serif" font-weight="700" font-size="12" fill="#f59e0b">THE BINNING RULE</text> <text x="35" y="168" font-family="sans-serif" font-size="11" fill="#cbd5e1">Too wide = Oversmoothed (hides features)</text> <text x="35" y="180" font-family="sans-serif" font-size="11" fill="#cbd5e1">Too narrow = Noisy (loses overall shape)</text> </g> <!-- Section 3: Mean vs Median (Right Column) --> <g transform="translate(480, 110)"> <rect width="380" height="180" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="20" y="30" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">Measures of Center</text> <!-- Mean --> <g transform="translate(20, 50)"> <rect width="160" height="110" rx="8" fill="#ffffff05"/> <text x="10" y="20" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">Arithmetic Mean (x̄)</text> <text x="10" y="40" font-family="serif" font-style="italic" font-size="16" fill="#38bdf8">Σ x / n</text> <text x="10" y="65" font-family="sans-serif" font-size="11" fill="#94a3b8" width="140">The "Balance Point".</text> <text x="10" y="85" font-family="sans-serif" font-size="11" font-weight="700" fill="#fb7185">NOT RESISTANT</text> <text x="10" y="98" font-family="sans-serif" font-size="10" fill="#94a3b8">Pulled by extreme outliers.</text> </g> <!-- Median --> <g transform="translate(200, 50)"> <rect width="160" height="110" rx="8" fill="#ffffff05"/> <text x="10" y="20" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">Median (M)</text> <text x="10" y="40" font-family="sans-serif" font-size="12" fill="#38bdf8">Middle Value</text> <text x="10" y="65" font-family="sans-serif" font-size="11" fill="#94a3b8">The 50th percentile.</text> <text x="10" y="85" font-family="sans-serif" font-size="11" font-weight="700" fill="#10b981">RESISTANT</text> <text x="10" y="98" font-family="sans-serif" font-size="10" fill="#94a3b8">Ignores outlier magnitude.</text> </g> </g> <!-- Section 4: Skewness (Bottom Right) --> <g transform="translate(480, 310)"> <rect width="380" height="210" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="20" y="30" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">Understanding Skewness</text> <!-- Symmetric --> <g transform="translate(20, 50)"> <path d="M 0 40 Q 50 0 100 40" fill="none" stroke="#94a3b8" stroke-width="2"/> <line x1="50" y1="5" x2="50" y2="40" stroke="#f59e0b" stroke-dasharray="2"/> <text x="50" y="55" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#f8fafc">SYMMETRIC</text> <text x="50" y="68" text-anchor="middle" font-family="sans-serif" font-size="9" fill="#94a3b8">Mean ≈ Median</text> </g> <!-- Right Skew --> <g transform="translate(140, 50)"> <path d="M 0 40 Q 20 0 100 40" fill="none" stroke="#94a3b8" stroke-width="2"/> <line x1="25" y1="10" x2="25" y2="40" stroke="#10b981" stroke-width="1.5"/> <!-- Median --> <line x1="45" y1="15" x2="45" y2="40" stroke="#fb7185" stroke-width="1.5"/> <!-- Mean --> <text x="50" y="55" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#f8fafc">RIGHT SKEW</text> <text x="50" y="68" text-anchor="middle" font-family="sans-serif" font-size="9" fill="#94a3b8">Mean > Median</text> </g> <!-- Left Skew --> <g transform="translate(260, 50)"> <path d="M 0 40 Q 80 0 100 40" fill="none" stroke="#94a3b8" stroke-width="2"/> <line x1="75" y1="10" x2="75" y2="40" stroke="#10b981" stroke-width="1.5"/> <!-- Median --> <line x1="55" y1="15" x2="55" y2="40" stroke="#fb7185" stroke-width="1.5"/> <!-- Mean --> <text x="50" y="55" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#f8fafc">LEFT SKEW</text> <text x="50" y="68" text-anchor="middle" font-family="sans-serif" font-size="9" fill="#94a3b8">Mean &lt; Median</text> </g> <!-- Legend --> <g transform="translate(100, 140)"> <line x1="0" y1="10" x2="20" y2="10" stroke="#fb7185" stroke-width="2"/> <text x="25" y="14" font-family="sans-serif" font-size="11" fill="#94a3b8">Mean</text> <line x1="80" y1="10" x2="100" y2="10" stroke="#10b981" stroke-width="2"/> <text x="105" y="14" font-family="sans-serif" font-size="11" fill="#94a3b8">Median</text> <text x="0" y="40" font-family="sans-serif" font-size="11" font-style="italic" fill="#cbd5e1">"The tail pulls the mean toward it."</text> </g> </g> <!-- Decorative elements --> <circle cx="850" cy="50" r="40" fill="#38bdf8" opacity="0.05"/> <circle cx="50" cy="510" r="30" fill="#e879f9" opacity="0.05"/> </svg>Displaying and Summarizing Quantitative Data image 1Displaying and Summarizing Quantitative Data - Statistics and Probability - image 1https://www.getlykke.com/explore/public/statistics-and-probability-b71199d8-8b56-46fd-a7b9-599a91a064e1/media/quantitative-data-summary/svg/1Displaying and Summarizing Quantitative Data diagram 1Displaying and Summarizing Quantitative Data - Statistics and Probability - diagram 1https://www.getlykke.com/explore/public/statistics-and-probability-b71199d8-8b56-46fd-a7b9-599a91a064e1/media/quantitative-data-summary/svg/2Displaying and Summarizing Quantitative Data diagram 2Displaying and Summarizing Quantitative Data - Statistics and Probability - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="3" result="blur"/> <feComposite in="SourceGraphic" in2="blur" operator="over"/> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Header Section --> <text x="40" y="60" font-family="Inter, system-ui, sans-serif" font-weight="800" font-size="32" fill="#f8fafc">MODELING DATA DISTRIBUTIONS</text> <text x="40" y="85" font-family="Inter, system-ui, sans-serif" font-size="14" fill="#94a3b8" letter-spacing="1">FROM RAW OBSERVATIONS TO MATHEMATICAL ABSTRACTIONS</text> <rect x="40" y="100" width="120" height="4" rx="2" fill="#38bdf8"/> <!-- Panel 1: Relative Standing --> <rect x="40" y="130" width="260" height="390" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <circle cx="75" cy="165" r="18" fill="#38bdf820"/> <path d="M65 175 L65 165 M75 175 L75 155 M85 175 L85 160" stroke="#38bdf8" stroke-width="2" stroke-linecap="round"/> <text x="105" y="170" font-family="Inter, system-ui, sans-serif" font-weight="700" font-size="18" fill="#f8fafc">Relative Standing</text> <text x="60" y="210" font-family="Inter, system-ui, sans-serif" font-weight="600" font-size="14" fill="#38bdf8">PERCENTILES (RANK)</text> <text x="60" y="230" font-family="Inter, system-ui, sans-serif" font-size="12" fill="#94a3b8" width="220"> <tspan x="60" dy="0">The p-th percentile is the value</tspan> <tspan x="60" dy="16">where p% of data falls at or below.</tspan> <tspan x="60" dy="16">Robust to outliers.</tspan> </text> <text x="60" y="290" font-family="Inter, system-ui, sans-serif" font-weight="600" font-size="14" fill="#f59e0b">Z-SCORES (DISTANCE)</text> <text x="60" y="310" font-family="Inter, system-ui, sans-serif" font-size="12" fill="#94a3b8"> <tspan x="60" dy="0">Standardized distance from mean</tspan> <tspan x="60" dy="16">in units of standard deviation.</tspan> </text> <rect x="60" y="350" width="220" height="60" rx="8" fill="#00000030"/> <text x="170" y="385" font-family="serif" font-style="italic" font-size="20" fill="#f8fafc" text-anchor="middle">z = (x - μ) / σ</text> <text x="60" y="440" font-family="Inter, system-ui, sans-serif" font-size="11" fill="#94a3b8" font-style="italic"> <tspan x="60" dy="0">Z = 0: Exactly at the mean</tspan> <tspan x="60" dy="15">Z = +2: Two standard deviations above</tspan> </text> <!-- Panel 2: Linear Transformations --> <rect x="320" y="130" width="260" height="390" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <circle cx="355" cy="165" r="18" fill="#e879f920"/> <path d="M345 165 L365 165 M355 155 L355 175 M348 158 L362 172" stroke="#e879f9" stroke-width="2" stroke-linecap="round"/> <text x="385" y="170" font-family="Inter, system-ui, sans-serif" font-weight="700" font-size="18" fill="#f8fafc">Transformations</text> <rect x="340" y="200" width="220" height="40" rx="8" fill="#e879f910" stroke="#e879f930"/> <text x="450" y="225" font-family="serif" font-style="italic" font-size="18" fill="#f8fafc" text-anchor="middle">x_new = a + bx</text> <!-- Shift vs Scale Comparison --> <g transform="translate(340, 260)"> <rect width="220" height="100" rx="8" fill="#ffffff05"/> <text x="10" y="25" font-family="Inter, system-ui, sans-serif" font-weight="700" font-size="12" fill="#e879f9">SHIFTING (+a)</text> <text x="10" y="45" font-family="Inter, system-ui, sans-serif" font-size="11" fill="#f8fafc">• Changes Center (Mean/Med)</text> <text x="10" y="65" font-family="Inter, system-ui, sans-serif" font-size="11" fill="#94a3b8">• Spread stays the same</text> <text x="10" y="85" font-family="Inter, system-ui, sans-serif" font-size="11" fill="#94a3b8">• Shape stays the same</text> </g> <g transform="translate(340, 375)"> <rect width="220" height="100" rx="8" fill="#ffffff05"/> <text x="10" y="25" font-family="Inter, system-ui, sans-serif" font-weight="700" font-size="12" fill="#e879f9">SCALING (*b)</text> <text x="10" y="45" font-family="Inter, system-ui, sans-serif" font-size="11" fill="#f8fafc">• Changes Center (Mean/Med)</text> <text x="10" y="65" font-family="Inter, system-ui, sans-serif" font-size="11" fill="#f8fafc">• Changes Spread (SD/IQR)</text> <text x="10" y="85" font-family="Inter, system-ui, sans-serif" font-size="11" fill="#94a3b8">• Shape stays the same</text> </g> <!-- Panel 3: Density Curves --> <rect x="600" y="130" width="260" height="390" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <circle cx="635" cy="165" r="18" fill="#22c55e20"/> <path d="M620 175 Q635 140 650 175" fill="none" stroke="#22c55e" stroke-width="2" stroke-linecap="round"/> <text x="665" y="170" font-family="Inter, system-ui, sans-serif" font-weight="700" font-size="18" fill="#f8fafc">Density Curves</text> <!-- Bell Curve Illustration --> <g transform="translate(620, 220)"> <path d="M10 80 Q40 80 70 80 T110 10 T150 80 T210 80" fill="#22c55e20" stroke="#22c55e" stroke-width="3" filter="url(#glow)"/> <line x1="110" y1="10" x2="110" y2="80" stroke="#22c55e" stroke-dasharray="4"/> <text x="110" y="95" font-family="Inter, system-ui, sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">μ (Mean)</text> </g> <text x="620" y="340" font-family="Inter, system-ui, sans-serif" font-weight="600" font-size="14" fill="#22c55e">THE TWO RULES</text> <g transform="translate(620, 360)"> <rect width="22" height="22" rx="4" fill="#22c55e20"/> <text x="11" y="16" font-family="Inter, font-weight-bold" font-size="12" fill="#22c55e" text-anchor="middle">1</text> <text x="35" y="15" font-family="Inter, system-ui, sans-serif" font-size="12" fill="#f8fafc">Always on or above the x-axis.</text> </g> <g transform="translate(620, 395)"> <rect width="22" height="22" rx="4" fill="#22c55e20"/> <text x="11" y="16" font-family="Inter, font-weight-bold" font-size="12" fill="#22c55e" text-anchor="middle">2</text> <text x="35" y="15" font-family="Inter, system-ui, sans-serif" font-size="12" fill="#f8fafc">Total area under curve = 1.</text> </g> <rect x="620" y="440" width="220" height="60" rx="8" fill="#ffffff05" stroke="#ffffff10"/> <text x="635" y="460" font-family="Inter, system-ui, sans-serif" font-size="11" fill="#94a3b8"> <tspan x="635" dy="0">The area under the curve between</tspan> <tspan x="635" dy="15">two points represents the proportion</tspan> <tspan x="635" dy="15">of observations in that interval.</tspan> </text> <!-- Connecting Arrows --> <path d="M300 325 L320 325" stroke="#ffffff20" stroke-width="2" marker-end="url(#arrowhead)"/> <path d="M580 325 L600 325" stroke="#ffffff20" stroke-width="2" marker-end="url(#arrowhead)"/> <defs> <marker id="arrowhead" markerWidth="10" markerHeight="7" refX="0" refY="3.5" orient="auto"> <polygon points="0 0, 10 3.5, 0 7" fill="#ffffff20" /> </marker> </defs> <!-- Bottom Accent --> <text x="450" y="545" font-family="Inter, system-ui, sans-serif" font-size="10" fill="#475569" text-anchor="middle" letter-spacing="2">STATISTICAL MODELING FRAMEWORK • CHAPTER 2</text> </svg>Modeling Data Distributions image 1Modeling Data Distributions - Statistics and Probability - image 1https://www.getlykke.com/explore/public/statistics-and-probability-b71199d8-8b56-46fd-a7b9-599a91a064e1/media/modeling-distributions/svg/1Modeling Data Distributions diagram 1Modeling Data Distributions - Statistics and Probability - diagram 1https://www.getlykke.com/explore/public/statistics-and-probability-b71199d8-8b56-46fd-a7b9-599a91a064e1/media/modeling-distributions/svg/2Modeling Data Distributions diagram 2Modeling Data Distributions - Statistics and Probability - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dotPattern" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff08"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dotPattern)"/> <!-- Header --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-size="32" font-weight="800" fill="#f8fafc" letter-spacing="1">BIVARIATE DATA &amp; REGRESSION</text> <text x="450" y="75" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="400" fill="#94a3b8">From Visual Patterns to Predictive Mathematical Models</text> <rect x="400" y="85" width="100" height="3" rx="1.5" fill="#38bdf8"/> <!-- Panel 1: The Visual Foundation --> <rect x="30" y="110" width="265" height="420" rx="16" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <text x="50" y="140" font-family="sans-serif" font-size="18" font-weight="700" fill="#38bdf8">1. VISUAL ANALYSIS</text> <text x="50" y="160" font-family="sans-serif" font-size="12" fill="#94a3b8">Interpreting Scatter Plots via DFSO</text> <!-- DFSO Icons --> <g transform="translate(50, 180)"> <!-- Direction --> <rect width="225" height="50" rx="8" fill="#ffffff05"/> <circle cx="25" cy="25" r="15" fill="#38bdf820"/> <path d="M20 30 L30 20 M25 20 L30 20 L30 25" stroke="#38bdf8" stroke-width="2" fill="none"/> <text x="50" y="22" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Direction</text> <text x="50" y="38" font-family="sans-serif" font-size="11" fill="#94a3b8">Positive (+) or Negative (-)</text> <!-- Form --> <g transform="translate(0, 60)"> <rect width="225" height="50" rx="8" fill="#ffffff05"/> <circle cx="25" cy="25" r="15" fill="#e879f920"/> <path d="M15 30 Q25 10 35 30" stroke="#e879f9" stroke-width="2" fill="none"/> <text x="50" y="22" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Form</text> <text x="50" y="38" font-family="sans-serif" font-size="11" fill="#94a3b8">Linear vs. Non-Linear</text> </g> <!-- Strength --> <g transform="translate(0, 120)"> <rect width="225" height="50" rx="8" fill="#ffffff05"/> <circle cx="25" cy="25" r="15" fill="#f59e0b20"/> <circle cx="22" cy="22" r="1.5" fill="#f59e0b"/> <circle cx="28" cy="28" r="1.5" fill="#f59e0b"/> <circle cx="25" cy="25" r="1.5" fill="#f59e0b"/> <text x="50" y="22" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Strength</text> <text x="50" y="38" font-family="sans-serif" font-size="11" fill="#94a3b8">Clustering around the trend</text> </g> <!-- Outliers --> <g transform="translate(0, 180)"> <rect width="225" height="50" rx="8" fill="#ffffff05"/> <circle cx="25" cy="25" r="15" fill="#ef444420"/> <circle cx="20" cy="28" r="1.5" fill="#94a3b8"/> <circle cx="32" cy="15" r="2" fill="#ef4444"/> <text x="50" y="22" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Outliers</text> <text x="50" y="38" font-family="sans-serif" font-size="11" fill="#94a3b8">Deviations from the pattern</text> </g> </g> <!-- Panel 2: The Correlation Coefficient --> <rect x="317.5" y="110" width="265" height="420" rx="16" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <text x="337.5" y="140" font-family="sans-serif" font-size="18" font-weight="700" fill="#e879f9">2. CORRELATION (r)</text> <text x="337.5" y="160" font-family="sans-serif" font-size="12" fill="#94a3b8">Quantifying Linear Relationships</text> <!-- r-Scale --> <g transform="translate(337.5, 190)"> <rect y="20" width="225" height="6" rx="3" fill="#ffffff15"/> <circle cx="0" cy="23" r="4" fill="#ef4444"/> <circle cx="112.5" cy="23" r="4" fill="#94a3b8"/> <circle cx="225" cy="23" r="4" fill="#22c55e"/> <text x="0" y="45" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#f8fafc">-1.0</text> <text x="112.5" y="45" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#f8fafc">0</text> <text x="225" y="45" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#f8fafc">+1.0</text> <text x="112.5" y="10" text-anchor="middle" font-family="sans-serif" font-size="11" font-weight="bold" fill="#94a3b8">STRENGTH SCALE</text> </g> <!-- Formula Box --> <g transform="translate(337.5, 270)"> <rect width="225" height="100" rx="12" fill="#00000030" stroke="#e879f940"/> <text x="112.5" y="35" text-anchor="middle" font-family="serif" font-style="italic" font-size="20" fill="#f8fafc">r = &#x2211; z_x z_y / (n-1)</text> <text x="112.5" y="70" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#94a3b8">Average product of z-scores</text> </g> <!-- Key Insight --> <g transform="translate(337.5, 390)"> <path d="M0 0 L225 0" stroke="#ffffff10" stroke-width="1"/> <text x="112.5" y="30" text-anchor="middle" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f59e0b">CRITICAL INSIGHT</text> <text x="112.5" y="55" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#f8fafc">Correlation &#x2260; Causation</text> <text x="112.5" y="75" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#94a3b8">Beware of lurking variables!</text> </g> <!-- Panel 3: The Regression Line --> <rect x="605" y="110" width="265" height="420" rx="16" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <text x="625" y="140" font-family="sans-serif" font-size="18" font-weight="700" fill="#f59e0b">3. THE LSRL</text> <text x="625" y="160" font-family="sans-serif" font-size="12" fill="#94a3b8">The Least-Squares Regression Line</text> <!-- Mini Graph --> <g transform="translate(645, 190)"> <!-- Axes --> <line x1="0" y1="120" x2="180" y2="120" stroke="#94a3b8" stroke-width="2"/> <line x1="0" y1="0" x2="0" y2="120" stroke="#94a3b8" stroke-width="2"/> <!-- Points --> <circle cx="20" cy="100" r="3" fill="#38bdf8"/> <circle cx="50" cy="85" r="3" fill="#38bdf8"/> <circle cx="80" cy="90" r="3" fill="#38bdf8"/> <circle cx="110" cy="50" r="3" fill="#38bdf8"/> <circle cx="140" cy="40" r="3" fill="#38bdf8"/> <circle cx="160" cy="20" r="3" fill="#38bdf8"/> <!-- Regression Line --> <line x1="0" y1="110" x2="180" y2="10" stroke="#f59e0b" stroke-width="3" filter="url(#glow)"/> <text x="185" y="125" font-family="sans-serif" font-size="10" fill="#38bdf8">x</text> <text x="-10" y="-5" font-family="sans-serif" font-size="10" fill="#e879f9">y</text> </g> <!-- Equation --> <g transform="translate(625, 340)"> <rect width="225" height="60" rx="12" fill="#f59e0b10" stroke="#f59e0b40"/> <text x="112.5" y="38" text-anchor="middle" font-family="serif" font-style="italic" font-size="22" fill="#f8fafc">&#x177; = a + bx</text> </g> <!-- Residuals explanation --> <g transform="translate(625, 420)"> <text x="0" y="20" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Residuals (e)</text> <text x="0" y="40" font-family="sans-serif" font-size="11" fill="#94a3b8" width="225">The vertical distance between the</text> <text x="0" y="55" font-family="sans-serif" font-size="11" fill="#94a3b8">observed point and the predicted line.</text> <text x="0" y="80" font-family="serif" font-style="italic" font-size="14" fill="#38bdf8">e = y - &#x177;</text> </g> <!-- Footer Decor --> <rect x="30" y="545" width="840" height="1" fill="#ffffff10"/> </svg>Bivariate Numerical Data and Regression image 1Bivariate Numerical Data and Regression - Statistics and Probability - image 1https://www.getlykke.com/explore/public/statistics-and-probability-b71199d8-8b56-46fd-a7b9-599a91a064e1/media/bivariate-numerical-data/svg/1Bivariate Numerical Data and Regression diagram 1Bivariate Numerical Data and Regression - Statistics and Probability - diagram 1https://www.getlykke.com/explore/public/statistics-and-probability-b71199d8-8b56-46fd-a7b9-599a91a064e1/media/bivariate-numerical-data/svg/2Bivariate Numerical Data and Regression diagram 2Bivariate Numerical Data and Regression - Statistics and Probability - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <filter id="glow" x="-20%" y="-20%" width="140%" height="140%"> <feGaussianBlur stdDeviation="3" result="blur" /> <feComposite in="SourceGraphic" in2="blur" operator="over" /> </filter> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="40" y="60" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">STATISTICAL INVESTIGATIONS</text> <text x="40" y="85" font-family="sans-serif" font-weight="400" font-size="16" fill="#94a3b8">The Architecture of Study Design &amp; Data Integrity</text> <!-- GIGO Warning Badge --> <rect x="680" y="40" width="180" height="40" rx="8" fill="#ef444422" stroke="#ef4444" stroke-width="1"/> <text x="770" y="65" font-family="sans-serif" font-weight="bold" font-size="14" fill="#fca5a5" text-anchor="middle">"GARBAGE IN, GARBAGE OUT"</text> <!-- Main Conceptual Map: Population to Sample --> <rect x="40" y="120" width="820" height="220" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <!-- Population Side --> <circle cx="180" cy="220" r="70" fill="#38bdf811" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 2"/> <text x="180" y="140" font-family="sans-serif" font-weight="bold" font-size="18" fill="#38bdf8" text-anchor="middle">POPULATION</text> <text x="180" y="310" font-family="sans-serif" font-size="12" fill="#94a3b8" text-anchor="middle">The entire group of interest</text> <!-- Population Dots --> <g fill="#38bdf8" opacity="0.6"> <circle cx="150" cy="200" r="3"/><circle cx="170" cy="230" r="3"/><circle cx="200" cy="210" r="3"/> <circle cx="190" cy="245" r="3"/><circle cx="160" cy="240" r="3"/><circle cx="210" cy="190" r="3"/> <circle cx="140" cy="220" r="3"/><circle cx="185" cy="180" r="3"/><circle cx="215" cy="225" r="3"/> </g> <!-- Parameter vs Statistic Box --> <rect x="360" y="150" width="180" height="80" rx="12" fill="#ffffff05" stroke="#94a3b833"/> <text x="450" y="175" font-family="serif" font-style="italic" font-size="16" fill="#f8fafc" text-anchor="middle">Parameter (μ)</text> <path d="M 400 185 L 500 185" stroke="#94a3b833" stroke-width="1"/> <text x="450" y="210" font-family="serif" font-style="italic" font-size="16" fill="#f59e0b" text-anchor="middle">Statistic (x̄)</text> <!-- Sampling Arrow --> <path d="M 270 220 L 590 220" stroke="#f8fafc" stroke-width="2" stroke-dasharray="8 4" marker-end="url(#arrowhead)"/> <text x="430" y="245" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f8fafc" text-anchor="middle">RANDOM SAMPLING</text> <text x="430" y="265" font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">Minimizes Systematic Error</text> <!-- Sample Side --> <circle cx="720" cy="220" r="50" fill="#f59e0b11" stroke="#f59e0b" stroke-width="2"/> <text x="720" y="140" font-family="sans-serif" font-weight="bold" font-size="18" fill="#f59e0b" text-anchor="middle">SAMPLE</text> <text x="720" y="310" font-family="sans-serif" font-size="12" fill="#94a3b8" text-anchor="middle">A representative subset</text> <!-- Sample Dots --> <g fill="#f59e0b"> <circle cx="710" cy="210" r="4"/><circle cx="735" cy="230" r="4"/><circle cx="705" cy="240" r="4"/> </g> <!-- Sampling Methods Grid --> <text x="40" y="375" font-family="sans-serif" font-weight="bold" font-size="16" fill="#f8fafc">PRIMARY SAMPLING METHODS</text> <!-- SRS Card --> <rect x="40" y="390" width="195" height="140" rx="12" fill="#ffffff08" stroke="#ffffff15"/> <text x="55" y="415" font-family="sans-serif" font-weight="bold" font-size="14" fill="#e879f9">Simple Random</text> <text x="55" y="435" font-family="sans-serif" font-size="11" fill="#94a3b8">Every group of size n has</text> <text x="55" y="450" font-family="sans-serif" font-size="11" fill="#94a3b8">an equal chance.</text> <g transform="translate(160, 480)"> <circle cx="0" cy="0" r="15" fill="none" stroke="#e879f9" stroke-width="1"/> <circle cx="-5" cy="-5" r="2" fill="#e879f9"/><circle cx="6" cy="2" r="2" fill="#e879f9"/><circle cx="-2" cy="7" r="2" fill="#e879f9"/> </g> <!-- Stratified Card --> <rect x="248" y="390" width="195" height="140" rx="12" fill="#ffffff08" stroke="#ffffff15"/> <text x="263" y="415" font-family="sans-serif" font-weight="bold" font-size="14" fill="#38bdf8">Stratified</text> <text x="263" y="435" font-family="sans-serif" font-size="11" fill="#94a3b8">Divide into strata (groups);</text> <text x="263" y="450" font-family="sans-serif" font-size="11" fill="#94a3b8">sample from each.</text> <g transform="translate(368, 480)"> <rect x="-15" y="-15" width="30" height="10" fill="#38bdf833" rx="2"/> <rect x="-15" y="0" width="30" height="10" fill="#38bdf866" rx="2"/> <circle cx="0" cy="-10" r="2" fill="#38bdf8"/><circle cx="0" cy="5" r="2" fill="#38bdf8"/> </g> <!-- Cluster Card --> <rect x="456" y="390" width="195" height="140" rx="12" fill="#ffffff08" stroke="#ffffff15"/> <text x="471" y="415" font-family="sans-serif" font-weight="bold" font-size="14" fill="#fb7185">Cluster</text> <text x="471" y="435" font-family="sans-serif" font-size="11" fill="#94a3b8">Divide into clusters;</text> <text x="471" y="450" font-family="sans-serif" font-size="11" fill="#94a3b8">sample whole clusters.</text> <g transform="translate(576, 480)"> <circle cx="-8" cy="-5" r="8" fill="#fb718544" stroke="#fb7185" stroke-width="1"/> <circle cx="8" cy="5" r="8" fill="none" stroke="#ffffff22" stroke-width="1"/> <circle cx="-8" cy="-5" r="2" fill="#fb7185"/><circle cx="-11" cy="-2" r="2" fill="#fb7185"/> </g> <!-- Systematic Card --> <rect x="665" y="390" width="195" height="140" rx="12" fill="#ffffff08" stroke="#ffffff15"/> <text x="680" y="415" font-family="sans-serif" font-weight="bold" font-size="14" fill="#34d399">Systematic</text> <text x="680" y="435" font-family="sans-serif" font-size="11" fill="#94a3b8">Select every k-th</text> <text x="680" y="450" font-family="sans-serif" font-size="11" fill="#94a3b8">individual from a list.</text> <g transform="translate(785, 480)"> <line x1="-20" y1="0" x2="20" y2="0" stroke="#ffffff22" stroke-width="2"/> <circle cx="-15" cy="0" r="3" fill="#34d399"/><circle cx="-5" cy="0" r="2" fill="#ffffff22"/><circle cx="5" cy="0" r="3" fill="#34d399"/><circle cx="15" cy="0" r="2" fill="#ffffff22"/> </g> <!-- Bias Warning Footer --> <circle cx="50" cy="545" r="4" fill="#fb7185"/> <text x="65" y="549" font-family="sans-serif" font-size="11" font-weight="bold" fill="#fb7185">BIAS ALERT:</text> <text x="140" y="549" font-family="sans-serif" font-size="11" fill="#94a3b8">Undercoverage • Nonresponse • Response Bias • Voluntary Response</text> <!-- Arrowhead marker --> <defs> <marker id="arrowhead" markerWidth="10" markerHeight="7" refX="0" refY="3.5" orient="auto"> <polygon points="0 0, 10 3.5, 0 7" fill="#f8fafc" /> </marker> </defs> </svg>Statistical Investigations and Study Design image 1Statistical Investigations and Study Design - Statistics and Probability - image 1https://www.getlykke.com/explore/public/statistics-and-probability-b71199d8-8b56-46fd-a7b9-599a91a064e1/media/statistical-investigations/svg/1Statistical Investigations and Study Design diagram 1Statistical Investigations and Study Design - Statistics and Probability - diagram 1https://www.getlykke.com/explore/public/statistics-and-probability-b71199d8-8b56-46fd-a7b9-599a91a064e1/media/statistical-investigations/svg/2Statistical Investigations and Study Design diagram 2Statistical Investigations and Study Design - Statistics and Probability - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="30" height="30" patternUnits="userSpaceOnUse"> <path d="M 30 0 L 0 0 0 30" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="450" y="60" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="34" fill="#f8fafc" letter-spacing="1">PROBABILITY &amp; COMBINATORICS</text> <path d="M 350 75 L 550 75" stroke="#38bdf8" stroke-width="2" stroke-linecap="round" opacity="0.6"/> <text x="450" y="95" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="300" fill="#94a3b8" text-transform="uppercase" letter-spacing="3">The Architecture of Uncertainty</text> <!-- Left Panel: Foundations --> <rect x="40" y="120" width="260" height="400" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="150" font-family="sans-serif" font-weight="bold" font-size="18" fill="#f59e0b">I. FOUNDATIONS</text> <!-- Kolmogorov Axioms --> <rect x="55" y="170" width="230" height="110" rx="8" fill="#ffffff05"/> <text x="70" y="190" font-family="serif" font-style="italic" font-size="13" fill="#38bdf8">Kolmogorov’s Axioms</text> <text x="70" y="215" font-family="monospace" font-size="12" fill="#f8fafc">1. P(A) ≥ 0</text> <text x="70" y="235" font-family="monospace" font-size="12" fill="#f8fafc">2. P(S) = 1</text> <text x="70" y="255" font-family="monospace" font-size="12" fill="#f8fafc">3. P(∪Aᵢ) = ΣP(Aᵢ)</text> <!-- Sample Space Visual --> <rect x="55" y="300" width="230" height="100" rx="8" fill="#ffffff05"/> <rect x="100" y="320" width="140" height="60" fill="none" stroke="#94a3b8" stroke-dasharray="4"/> <text x="105" y="335" font-family="sans-serif" font-size="10" fill="#94a3b8">Sample Space (S)</text> <circle cx="150" cy="355" r="20" fill="#e879f933" stroke="#e879f9" stroke-width="2"/> <text x="142" y="359" font-family="sans-serif" font-size="11" font-weight="bold" fill="#f8fafc">E</text> <text x="175" y="365" font-family="sans-serif" font-size="10" fill="#94a3b8">Event ⊂ S</text> <!-- Center Panel: The Bridge --> <rect x="320" y="120" width="260" height="400" rx="16" fill="#ffffff10" stroke="#ffffff20"/> <text x="450" y="150" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="18" fill="#38bdf8">II. THE BRIDGE</text> <!-- Theoretical --> <g transform="translate(350, 175)"> <rect width="200" height="80" rx="8" fill="#0f172a"/> <text x="100" y="25" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">Theoretical</text> <text x="100" y="45" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#94a3b8">Logic &amp; Symmetry</text> <!-- Dice Icon --> <rect x="85" y="55" width="12" height="12" rx="2" fill="#f8fafc"/> <circle cx="91" cy="61" r="1.5" fill="#0f172a"/> <rect x="103" y="55" width="12" height="12" rx="2" fill="#f8fafc"/> <circle cx="106" cy="58" r="1" fill="#0f172a"/> <circle cx="112" cy="64" r="1" fill="#0f172a"/> </g> <!-- LLN Arrow --> <path d="M 450 265 L 450 355" stroke="#f59e0b" stroke-width="3" marker-end="url(#arrowhead)"/> <defs> <marker id="arrowhead" markerWidth="10" markerHeight="7" refX="0" refY="3.5" orient="auto"> <polygon points="0 0, 10 3.5, 0 7" fill="#f59e0b" /> </marker> </defs> <rect x="380" y="295" width="140" height="30" rx="15" fill="#f59e0b"/> <text x="450" y="315" text-anchor="middle" font-family="sans-serif" font-size="11" font-weight="bold" fill="#0f172a">LAW OF LARGE NUMBERS</text> <!-- Experimental --> <g transform="translate(350, 365)"> <rect width="200" height="130" rx="8" fill="#0f172a"/> <text x="100" y="25" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">Experimental</text> <text x="100" y="45" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#94a3b8">Observation &amp; Trials</text> <!-- Mini Graph --> <path d="M 60 110 L 80 80 L 100 95 L 120 70 L 140 75" fill="none" stroke="#38bdf8" stroke-width="2"/> <circle cx="60" cy="110" r="2" fill="#38bdf8"/> <circle cx="140" cy="75" r="2" fill="#38bdf8"/> <text x="100" y="120" text-anchor="middle" font-family="monospace" font-size="10" fill="#38bdf8">n → ∞</text> </g> <!-- Right Panel: Rules --> <rect x="600" y="120" width="260" height="400" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="620" y="150" font-family="sans-serif" font-weight="bold" font-size="18" fill="#e879f9">III. 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x1="105" y1="65" x2="120" y2="85" stroke="#94a3b8" stroke-width="2"/> <circle cx="105" cy="65" r="3" fill="#f8fafc"/> </g> <!-- Bayes' Theorem Highlight --> <rect x="615" y="390" width="230" height="110" rx="8" fill="#e879f915" stroke="#e879f944"/> <text x="730" y="415" text-anchor="middle" font-family="sans-serif" font-size="13" font-weight="bold" fill="#e879f9">BAYES' THEOREM</text> <text x="730" y="450" text-anchor="middle" font-family="serif" font-size="18" fill="#f8fafc">P(A|B) =</text> <text x="730" y="440" text-anchor="middle" font-family="serif" font-size="12" fill="#f8fafc">P(B|A) P(A)</text> <line x1="680" y1="445" x2="780" y2="445" stroke="#f8fafc" stroke-width="1"/> <text x="730" y="465" text-anchor="middle" font-family="serif" font-size="12" fill="#f8fafc">P(B)</text> <text x="730" y="485" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8" font-style="italic">Updating beliefs with data</text> <!-- Decorative elements --> <circle cx="40" cy="40" 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Statistics and Probability - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="30" height="30" patternUnits="userSpaceOnUse"> <path d="M 30 0 L 0 0 0 30" fill="none" stroke="#ffffff0a" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="450" y="55" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-weight="800" font-size="32" letter-spacing="1">RANDOM VARIABLES &amp; DISTRIBUTIONS</text> <rect x="380" y="68" width="140" height="3" fill="#38bdf8" rx="1.5"/> <text x="450" y="92" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="14" font-weight="500">THE MATHEMATICAL BRIDGE FROM OUTCOMES TO NUMBERS</text> <!-- Central Concept: The Mapping --> <g transform="translate(150, 120)"> <rect width="600" height="90" rx="20" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <!-- Sample Space S --> <circle cx="60" cy="45" r="30" fill="#38bdf820" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 2"/> <text x="60" y="49" text-anchor="middle" fill="#38bdf8" font-family="serif" font-weight="bold" font-size="20">S</text> <text x="60" y="85" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10">Sample Space</text> <!-- The Mapping Arrow --> <path d="M 110 45 L 490 45" stroke="#f8fafc" stroke-width="2" marker-end="url(#arrow)"/> <path d="M 485 40 L 495 45 L 485 50 Z" fill="#f8fafc"/> <rect x="250" y="30" width="100" height="30" rx="8" fill="#1e293b"/> <text x="300" y="51" text-anchor="middle" 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stroke-width="1"/> <rect x="10" y="20" width="8" height="30" fill="#f59e0b" rx="2"/> <rect x="30" y="10" width="8" height="40" fill="#f59e0b" rx="2"/> <rect x="50" y="30" width="8" height="20" fill="#f59e0b" rx="2"/> <rect x="70" y="5" width="8" height="45" fill="#f59e0b" rx="2"/> <text x="120" y="25" fill="#f8fafc" font-family="serif" font-size="15">P(X = x)</text> <text x="120" y="45" fill="#94a3b8" font-family="sans-serif" font-size="11">Probability Mass Function</text> </g> <rect x="20" y="145" width="360" height="30" rx="8" fill="#ffffff05"/> <text x="200" y="165" text-anchor="middle" fill="#f8fafc" font-family="serif" font-size="14">Σ P(X = x) = 1</text> </g> <!-- Continuous Card --> <g transform="translate(460, 230)"> <rect width="400" height="190" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="20" y="35" fill="#38bdf8" font-family="sans-serif" font-size="20" font-weight="bold">Continuous</text> <text x="20" y="58" fill="#94a3b8" font-family="sans-serif" font-size="13">Uncountable outcomes (intervals, ranges)</text> <!-- PDF Viz --> <g transform="translate(20, 80)"> <path d="M 0 50 Q 25 50 50 10 T 100 50" fill="#38bdf830" stroke="#38bdf8" stroke-width="2"/> <line x1="0" y1="50" x2="100" y2="50" stroke="#94a3b8" stroke-width="1"/> <text x="120" y="25" fill="#f8fafc" font-family="serif" font-size="15">f(x)</text> <text x="120" y="45" fill="#94a3b8" font-family="sans-serif" font-size="11">Probability Density Function</text> </g> <rect x="20" y="145" width="360" height="30" rx="8" fill="#ffffff05"/> <text x="200" y="165" text-anchor="middle" fill="#f8fafc" font-family="serif" font-size="14">∫ f(x) dx = 1</text> </g> <!-- Bottom Stats/Metrics Section --> <g transform="translate(40, 440)"> <!-- Expected Value --> <rect width="390" height="90" rx="16" fill="#1e293b" stroke="#e879f940" stroke-width="1"/> <circle cx="40" cy="35" r="15" fill="#e879f920"/> <path d="M 32 40 L 48 40 L 40 25 Z" fill="#e879f9"/> <!-- Fulcrum icon --> <text x="70" 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xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#818cf8"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="3" result="blur"/> <feComposite in="SourceGraphic" in2="blur" operator="over"/> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <!-- Subtle Grid Pattern --> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="450" y="60" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-weight="800" font-size="32" letter-spacing="1">SAMPLING DISTRIBUTIONS &amp; THE CLT</text> <rect x="380" y="75" width="140" height="4" fill="url(#accentGrad)" rx="2"/> <text x="450" y="100" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="14" font-style="italic">The Science of Quantifying the Uncertainty in What We Don't See</text> <!-- Left Panel: The Population (Parameters) --> <rect x="40" y="130" width="260" height="320" rx="16" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <circle cx="170" cy="200" r="45" fill="#38bdf820" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 2"/> <text x="170" y="205" text-anchor="middle" fill="#38bdf8" font-family="serif" font-size="40" font-weight="bold">Π</text> <text x="170" y="270" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-weight="bold" font-size="18">THE POPULATION</text> <text x="170" y="290" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="12">The "God's Eye View" (Fixed Truth)</text> <!-- Parameter Table --> <g transform="translate(70, 320)"> <rect width="200" height="100" rx="8" fill="#00000030"/> <text x="10" y="25" fill="#f59e0b" font-family="serif" font-size="16">μ <tspan fill="#94a3b8" font-family="sans-serif" font-size="12"> (Mean)</tspan></text> <text x="10" y="50" fill="#f59e0b" font-family="serif" font-size="16">σ <tspan fill="#94a3b8" font-family="sans-serif" font-size="12"> (Std Dev)</tspan></text> <text x="10" y="75" fill="#f59e0b" font-family="serif" font-size="16">p <tspan fill="#94a3b8" font-family="sans-serif" font-size="12"> (Proportion)</tspan></text> <text x="190" y="55" text-anchor="end" fill="#f8fafc" font-family="sans-serif" font-size="11" opacity="0.6">PARAMETERS</text> </g> <!-- Center Panel: The Bridge (Sampling) --> <g transform="translate(320, 130)"> <path d="M 0 100 Q 130 50 260 100" fill="none" stroke="#e879f9" stroke-width="3" stroke-dasharray="8 4" opacity="0.6"/> <path d="M 0 160 Q 130 110 260 160" fill="none" stroke="#e879f9" 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font-family="sans-serif" font-size="12"> (Sample Prop)</tspan></text> <text x="190" y="55" text-anchor="end" fill="#f8fafc" font-family="sans-serif" font-size="11" opacity="0.6">STATISTICS</text> </g> <!-- Bottom Info Bar: Conditions --> <rect x="40" y="470" width="820" height="70" rx="12" fill="#38bdf810" stroke="#38bdf830"/> <text x="60" y="495" fill="#38bdf8" font-family="sans-serif" font-weight="bold" font-size="14">CONDITIONS FOR NORMALITY:</text> <g transform="translate(60, 515)"> <circle cx="5" cy="-5" r="3" fill="#f59e0b"/> <text x="15" y="0" fill="#f8fafc" font-family="sans-serif" font-size="12">RANDOMNESS: Representative data</text> </g> <g transform="translate(320, 515)"> <circle cx="5" cy="-5" r="3" fill="#f59e0b"/> <text x="15" y="0" fill="#f8fafc" font-family="sans-serif" font-size="12">INDEPENDENCE: 10% Rule (n &lt; 0.10N)</text> </g> <g transform="translate(600, 515)"> <circle cx="5" cy="-5" r="3" fill="#f59e0b"/> <text x="15" y="0" fill="#f8fafc" font-family="sans-serif" font-size="12">LARGE COUNTS: np ≥ 10 and n(1-p) ≥ 10</text> </g> <!-- Unbiased Estimator Badge --> <g transform="translate(380, 400)"> <rect width="140" height="30" rx="15" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1"/> <text x="70" y="20" text-anchor="middle" fill="#f59e0b" font-family="sans-serif" font-weight="bold" font-size="11">E[θ̂] = θ (Unbiased)</text> </g> </svg>Sampling Distributions and the CLT image 1Sampling Distributions and the CLT - Statistics and Probability - image 1https://www.getlykke.com/explore/public/statistics-and-probability-b71199d8-8b56-46fd-a7b9-599a91a064e1/media/sampling-distributions/svg/1Sampling Distributions and the CLT diagram 1Sampling Distributions and the CLT - Statistics and Probability - diagram 1https://www.getlykke.com/explore/public/statistics-and-probability-b71199d8-8b56-46fd-a7b9-599a91a064e1/media/sampling-distributions/svg/2Sampling Distributions and the CLT diagram 2Sampling Distributions and the CLT - Statistics and Probability - diagram 2https://www.getlykke.com/explore/public/statistics-and-probability-b71199d8-8b56-46fd-a7b9-599a91a064e1/media/sampling-distributions/svg/3Sampling Distributions and the CLT diagram 3Sampling Distributions and the CLT - Statistics and Probability - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> <style> .title { font-family: 'Segoe UI', Roboto, Helvetica, sans-serif; font-weight: 800; fill: #f8fafc; } .label { font-family: 'Segoe UI', Roboto, sans-serif; font-weight: 600; fill: #94a3b8; text-transform: uppercase; letter-spacing: 1px; } .body { font-family: 'Segoe UI', Roboto, sans-serif; fill: #cbd5e1; line-height: 1.4; } .accent-orange { fill: #f59e0b; } .accent-blue { fill: #38bdf8; } .accent-pink { fill: #e879f9; } .math { font-family: "Times New Roman", serif; font-style: italic; } </style> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Header --> <text x="450" y="60" text-anchor="middle" class="title" font-size="32">ESTIMATING WITH CONFIDENCE INTERVALS</text> <text x="450" y="85" text-anchor="middle" class="label" font-size="14" fill="#64748b">Inferential Statistics: Quantifying Uncertainty in Population Parameters</text> <line x1="350" y1="100" x2="550" y2="100" stroke="#334155" stroke-width="2"/> <!-- Central Formula Card --> <rect x="100" y="125" width="700" height="100" rx="16" fill="#ffffff10" stroke="#ffffff20"/> <text x="450" y="155" text-anchor="middle" class="label" font-size="12">The Anatomy of an Interval</text> <text x="450" y="195" text-anchor="middle" class="title" font-size="36"> <tspan fill="#f59e0b">Point Estimate</tspan> <tspan fill="#f8fafc" dx="10">±</tspan> <tspan fill="#38bdf8" dx="10">Margin of Error</tspan> </text> <!-- Left Panel: The Philosophy (Capture Rate) --> <rect x="50" y="250" width="385" height="230" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="70" y="280" class="label" font-size="16">The 95% Reliability Concept</text> <text x="70" y="305" class="body" font-size="12">The interval varies, the parameter is fixed.</text> <!-- Visualizing intervals --> <line x1="240" y1="320" x2="240" y2="450" stroke="#94a3b8" stroke-width="2" stroke-dasharray="4"/> <text x="245" y="335" class="label" font-size="10" fill="#94a3b8">True Parameter (μ)</text> <!-- Interval 1 (Hit) --> <line x1="180" y1="350" x2="300" y2="350" stroke="#38bdf8" stroke-width="3"/> <circle cx="240" cy="350" r="3" fill="#f59e0b"/> <!-- Interval 2 (Hit) --> <line x1="150" y1="375" x2="270" y2="375" stroke="#38bdf8" stroke-width="3"/> <circle cx="210" cy="375" r="3" fill="#f59e0b"/> <!-- Interval 3 (Miss) --> <line x1="250" y1="400" x2="370" y2="400" stroke="#ef4444" stroke-width="3"/> <circle cx="310" cy="400" r="3" fill="#f59e0b"/> <text x="315" y="415" class="body" font-size="10" fill="#ef4444">"The 5% Miss"</text> <!-- Interval 4 (Hit) --> <line x1="200" y1="425" x2="320" y2="425" stroke="#38bdf8" stroke-width="3"/> <circle cx="260" cy="425" r="3" fill="#f59e0b"/> <text x="70" y="465" class="body" font-size="11" fill="#94a3b8">95% Confidence means 95/100 intervals will capture μ.</text> <!-- Right Panel: The Distribution (Z vs T) --> <rect x="465" y="250" width="385" height="230" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="485" y="280" class="label" font-size="16">Choosing the Multiplier</text> <!-- Z-Dist Curve --> <path d="M 550 420 Q 640 300 730 420" fill="none" stroke="#e879f9" stroke-width="2" opacity="0.5"/> <!-- T-Dist Curve (Fatter tails) --> <path d="M 530 420 Q 640 340 750 420" fill="none" stroke="#38bdf8" stroke-width="2"/> <text x="640" y="440" text-anchor="middle" class="label" font-size="10">Distribution Shape</text> <!-- Comparison List --> <g transform="translate(485, 310)"> <circle cx="5" cy="5" r="4" fill="#e879f9"/> <text x="20" y="10" class="body" font-size="13"><tspan class="math">z*</tspan> (Normal): Proportions or known σ</text> <circle cx="5" cy="35" r="4" fill="#38bdf8"/> <text x="20" y="40" class="body" font-size="13"><tspan class="math">t*</tspan> (Student's T): Means with unknown σ</text> <text x="20" y="70" class="body" font-size="12" fill="#94a3b8">The T-distribution is "fatter" to account for</text> <text x="20" y="85" class="body" font-size="12" fill="#94a3b8">the extra uncertainty of estimating σ with s.</text> <rect x="0" y="105" width="345" height="40" rx="8" fill="#ffffff05"/> <text x="10" y="130" class="body" font-size="12" font-weight="bold">Degrees of Freedom (df) = n - 1</text> </g> <!-- Bottom Legend/Process --> <g transform="translate(50, 500)"> <text x="0" y="15" class="label" font-size="12">Components:</text> <text x="110" y="15" class="body" font-size="12"><tspan fill="#f59e0b">●</tspan> Point Estimate (x̄ or p̂)</text> <text x="280" y="15" class="body" font-size="12"><tspan fill="#e879f9">●</tspan> Critical Value (z* or t*)</text> <text x="460" y="15" class="body" font-size="12"><tspan fill="#38bdf8">●</tspan> Standard Error (SE)</text> <text x="620" y="15" class="body" font-size="12"><tspan fill="#94a3b8">●</tspan> Sample Size (n)</text> </g> <!-- Decorative Corner Elements --> <path d="M 850 50 L 880 50 L 880 80" fill="none" stroke="#334155" stroke-width="2"/> <path d="M 50 510 L 20 510 L 20 480" fill="none" stroke="#334155" stroke-width="2"/> </svg>Estimating with Confidence Intervals image 1Estimating with Confidence Intervals - Statistics and Probability - image 1https://www.getlykke.com/explore/public/statistics-and-probability-b71199d8-8b56-46fd-a7b9-599a91a064e1/media/confidence-intervals/svg/1Estimating with Confidence Intervals diagram 1Estimating with Confidence Intervals - Statistics and Probability - diagram 1https://www.getlykke.com/explore/public/statistics-and-probability-b71199d8-8b56-46fd-a7b9-599a91a064e1/media/confidence-intervals/svg/2Estimating with Confidence Intervals diagram 2Estimating with Confidence Intervals - Statistics and Probability - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background Layer --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Decorative Background Shapes --> <circle cx="850" cy="50" r="100" fill="#38bdf8" fill-opacity="0.05"/> <circle cx="50" cy="510" r="80" fill="#e879f9" fill-opacity="0.05"/> <!-- Header Section --> <text x="40" y="60" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">Significance Testing</text> <text x="40" y="85" font-family="sans-serif" font-size="14" fill="#94a3b8" letter-spacing="1">NULL HYPOTHESIS STATISTICAL TESTING (NHST)</text> <rect x="40" y="100" width="120" height="4" rx="2" fill="#38bdf8"/> <!-- Left Card: The Hypotheses --> <rect x="40" y="130" width="260" height="280" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="165" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">The Framework</text> <!-- H0 --> <g transform="translate(60, 190)"> <rect width="220" height="80" rx="8" fill="#ffffff08"/> <text x="10" y="25" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">H₀: Null Hypothesis</text> <text x="10" y="45" font-family="sans-serif" font-size="12" fill="#94a3b8">The "Innocent" stance.</text> <text x="10" y="60" font-family="sans-serif" font-size="12" fill="#94a3b8">No effect, no change, status quo.</text> <circle cx="200" cy="20" r="6" fill="#f59e0b" fill-opacity="0.5"/> </g> <!-- Ha --> <g transform="translate(60, 285)"> <rect width="220" height="80" rx="8" fill="#ffffff08"/> <text x="10" y="25" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">Hₐ: Alternative</text> <text x="10" y="45" font-family="sans-serif" font-size="12" fill="#94a3b8">The "Discovery" claim.</text> <text x="10" y="60" font-family="sans-serif" font-size="12" fill="#94a3b8">A real effect exists in the data.</text> <path d="M 195 15 L 205 25 M 205 15 L 195 25" stroke="#38bdf8" stroke-width="2"/> </g> <!-- Center Card: The P-Value --> <rect x="320" y="130" width="260" height="280" rx="16" fill="#ffffff10" stroke="#ffffff20"/> <text x="340" y="165" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">The P-Value</text> <!-- Probability Curve Illustration --> <g transform="translate(340, 180)"> <!-- Normal Curve --> <path d="M 10 100 Q 110 -20 210 100" fill="none" stroke="#94a3b8" stroke-width="2" stroke-dasharray="4 2"/> <!-- Shaded Tail --> <path d="M 170 48 Q 190 80 210 100 L 170 100 Z" fill="#e879f9" fill-opacity="0.4"/> <line x1="170" y1="48" x2="170" y2="100" stroke="#e879f9" stroke-width="2"/> <text x="135" y="115" font-family="sans-serif" font-size="11" fill="#e879f9" font-weight="bold">p &lt; 0.05</text> <text x="0" y="140" font-family="sans-serif" font-size="12" fill="#f8fafc" font-style="italic">"How surprising is this data?"</text> <text x="0" y="160" font-family="sans-serif" font-size="11" fill="#94a3b8">Probability of observing results</text> <text x="0" y="175" font-family="sans-serif" font-size="11" fill="#94a3b8">if the Null (H₀) is actually true.</text> </g> <!-- Right Card: The Decision --> <rect x="600" y="130" width="260" height="280" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="620" y="165" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">The Threshold</text> <g transform="translate(620, 190)"> <text x="0" y="20" font-family="sans-serif" font-weight="700" font-size="24" fill="#f8fafc">α = 0.05</text> <text x="0" y="45" font-family="sans-serif" font-size="13" fill="#94a3b8">Significance Level (Alpha)</text> <rect x="0" y="70" width="220" height="120" rx="8" fill="#00000030"/> <text x="10" y="95" font-family="sans-serif" font-weight="700" font-size="12" fill="#38bdf8">DECISION RULE:</text> <text x="10" y="125" font-family="sans-serif" font-size="13" fill="#f8fafc">If P ≤ α → Reject H₀</text> <text x="20" y="142" font-family="sans-serif" font-size="11" fill="#94a3b8">(Statistically Significant)</text> <text x="10" y="165" font-family="sans-serif" font-size="13" fill="#f8fafc">If P &gt; α → Fail to Reject H₀</text> <text x="20" y="182" font-family="sans-serif" font-size="11" fill="#94a3b8">(Not enough evidence)</text> </g> <!-- Process Flow at Bottom --> <g transform="translate(40, 440)"> <rect width="820" height="80" rx="16" fill="#ffffff05" stroke="#ffffff10"/> <!-- Step 1 --> <circle cx="40" cy="40" r="15" fill="#38bdf8"/> <text x="36" y="45" font-family="sans-serif" font-weight="bold" font-size="14" fill="#0f172a">1</text> <text x="65" y="35" font-family="sans-serif" font-weight="bold" font-size="12" fill="#f8fafc">State Hypotheses</text> <text x="65" y="52" font-family="sans-serif" font-size="11" fill="#94a3b8">Define H₀ and Hₐ</text> <!-- Arrow --> <path d="M 180 40 L 210 40" stroke="#ffffff20" stroke-width="2" marker-end="url(#arrow)"/> <!-- Step 2 --> <circle cx="240" cy="40" r="15" fill="#38bdf8"/> <text x="235" y="45" font-family="sans-serif" font-weight="bold" font-size="14" fill="#0f172a">2</text> <text x="265" y="35" font-family="sans-serif" font-weight="bold" font-size="12" fill="#f8fafc">Set Alpha</text> <text x="265" y="52" font-family="sans-serif" font-size="11" fill="#94a3b8">Choose risk level</text> <!-- Step 3 --> <circle cx="440" cy="40" r="15" fill="#38bdf8"/> <text x="435" y="45" font-family="sans-serif" font-weight="bold" font-size="14" fill="#0f172a">3</text> <text x="465" y="35" font-family="sans-serif" font-weight="bold" font-size="12" fill="#f8fafc">Collect Data</text> <text x="465" y="52" font-family="sans-serif" font-size="11" fill="#94a3b8">Run experiment</text> <!-- Step 4 --> <circle cx="640" cy="40" r="15" fill="#38bdf8"/> <text x="635" y="45" font-family="sans-serif" font-weight="bold" font-size="14" fill="#0f172a">4</text> <text x="665" y="35" font-family="sans-serif" font-weight="bold" font-size="12" fill="#f8fafc">Calculate P</text> <text x="665" y="52" font-family="sans-serif" font-size="11" fill="#94a3b8">Compute statistic</text> </g> <!-- Arrow Marker --> <defs> <marker id="arrow" markerWidth="10" markerHeight="10" refX="0" refY="3" orient="auto" markerUnits="strokeWidth"> <path d="M0,0 L0,6 L9,3 z" fill="#ffffff20" /> </marker> </defs> <!-- Footer Note --> <text x="450" y="545" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#475569" letter-spacing="0.5">REMEMBER: WE NEVER "ACCEPT" THE NULL. WE ONLY REJECT OR FAIL TO REJECT IT.</text> </svg>Significance Testing image 1Significance Testing - Statistics and Probability - image 1https://www.getlykke.com/explore/public/statistics-and-probability-b71199d8-8b56-46fd-a7b9-599a91a064e1/media/significance-testing/svg/1Significance Testing diagram 1Significance Testing - Statistics and Probability - diagram 1https://www.getlykke.com/explore/public/statistics-and-probability-b71199d8-8b56-46fd-a7b9-599a91a064e1/media/significance-testing/svg/2Significance Testing diagram 2Significance Testing - Statistics and Probability - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <!-- Background and Definitions --> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="3" result="blur"/> <feComposite in="SourceGraphic" in2="blur" operator="over"/> </filter> </defs> <!-- Base Layers --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="450" y="55" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">TWO-SAMPLE INFERENCE</text> <text x="450" y="80" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" font-style="italic">The bedrock of the scientific method: Comparing populations and evaluating change</text> <line x1="350" y1="95" x2="550" y2="95" stroke="#38bdf8" stroke-width="2" stroke-linecap="round" opacity="0.5"/> <!-- Left Panel: Independent Samples --> <rect x="40" y="120" width="400" height="240" rx="16" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <circle cx="75" cy="150" r="12" fill="#38bdf8" opacity="0.8"/> <text x="95" y="155" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">Independent Samples</text> <text x="65" y="185" font-family="sans-serif" font-size="13" fill="#cbd5e1">Comparing two distinct, unrelated groups.</text> <!-- Independent Visualization --> <g transform="translate(80, 220)"> <!-- Distribution 1 --> <path d="M 0 60 Q 40 0 80 60" fill="none" stroke="#38bdf8" stroke-width="2" opacity="0.6"/> <circle cx="40" cy="50" r="3" fill="#38bdf8"/> <text x="40" y="75" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">Group A</text> <!-- Distribution 2 --> <path d="M 100 60 Q 140 0 180 60" fill="none" stroke="#e879f9" stroke-width="2" opacity="0.6"/> <circle cx="140" cy="40" r="3" fill="#e879f9"/> <text x="140" y="75" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">Group B</text> <path d="M 40 45 L 140 45" stroke="#f59e0b" stroke-width="1" stroke-dasharray="4"/> <text x="90" y="38" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#f59e0b" font-weight="bold">Δ Mean</text> </g> <rect x="65" y="305" width="350" height="40" rx="8" fill="#00000020"/> <text x="75" y="322" font-family="sans-serif" font-size="11" fill="#94a3b8">Key: n₁ and n₂ can be different sizes.</text> <text x="75" y="338" font-family="sans-serif" font-size="11" fill="#94a3b8">Goal: Compare centers of two distributions.</text> <!-- Right Panel: Matched Pairs --> <rect x="460" y="120" width="400" height="240" rx="16" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <circle cx="495" cy="150" r="12" fill="#e879f9" opacity="0.8"/> <text x="515" y="155" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">Matched Pairs</text> <text x="485" y="185" font-family="sans-serif" font-size="13" fill="#cbd5e1">The same subjects measured twice (Pre/Post).</text> <!-- Matched Visualization --> <g transform="translate(550, 220)"> <g opacity="0.7"> <circle cx="20" cy="10" r="4" fill="#f8fafc"/> <path d="M 25 10 L 100 10" stroke="#94a3b8" stroke-width="1" marker-end="url(#arrow)"/> <circle cx="105" cy="10" r="4" fill="#e879f9"/> <circle cx="20" cy="30" r="4" fill="#f8fafc"/> <path d="M 25 30 L 100 30" stroke="#94a3b8" stroke-width="1"/> <circle cx="105" cy="30" r="4" fill="#e879f9"/> <circle cx="20" cy="50" r="4" fill="#f8fafc"/> <path d="M 25 50 L 100 50" stroke="#94a3b8" stroke-width="1"/> <circle cx="105" cy="50" r="4" fill="#e879f9"/> </g> <text x="20" y="75" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">Before</text> <text x="105" y="75" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">After</text> <text x="160" y="35" font-family="sans-serif" font-size="11" fill="#f59e0b" font-weight="bold">dᵢ = x₁ - x₂</text> </g> <rect x="485" y="305" width="350" height="40" rx="8" fill="#00000020"/> <text x="495" y="322" font-family="sans-serif" font-size="11" fill="#94a3b8">Key: n₁ must equal n₂ (paired data).</text> <text x="495" y="338" font-family="sans-serif" font-size="11" fill="#94a3b8">Goal: Test the mean of the differences (μd).</text> <!-- Bottom Panel: The Math Engine --> <rect x="40" y="380" width="820" height="150" rx="16" fill="#ffffff05" stroke="#38bdf830" stroke-width="1"/> <text x="65" y="415" font-family="sans-serif" font-weight="700" font-size="16" fill="#f59e0b">The Principle of Independent Variance</text> <text x="65" y="438" font-family="sans-serif" font-size="13" fill="#94a3b8" width="400">When subtracting independent variables, uncertainties do not cancel; they accumulate.</text> <!-- Formula Block --> <g transform="translate(500, 405)"> <rect width="330" height="100" rx="12" fill="#00000030" stroke="#ffffff10"/> <text x="165" y="30" text-anchor="middle" font-family="serif" font-size="20" fill="#f8fafc" font-style="italic">SE = √ ( s₁²/n₁ + s₂²/n₂ )</text> <text x="165" y="60" text-anchor="middle" font-family="sans-serif" font-size="12" fill="#38bdf8">Standard Error of the Difference</text> <text x="165" y="85" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8" font-style="italic">Used in Welch's T-Test (Unpooled Default)</text> </g> <!-- Logic Flow --> <g transform="translate(65, 460)"> <rect x="0" y="0" width="120" height="45" rx="6" fill="#38bdf820" stroke="#38bdf840"/> <text x="60" y="20" text-anchor="middle" font-family="sans-serif" font-size="11" font-weight="bold" fill="#38bdf8">ESTIMATE</text> <text x="60" y="35" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#cbd5e1">x̄₁ - x̄₂</text> <path d="M 130 22 L 160 22" stroke="#94a3b8" stroke-width="2" marker-end="url(#arrowhead)"/> <rect x="170" y="0" width="120" height="45" rx="6" fill="#e879f920" stroke="#e879f940"/> <text x="230" y="20" text-anchor="middle" font-family="sans-serif" font-size="11" font-weight="bold" fill="#e879f9">DIVIDE BY SE</text> <text x="230" y="35" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#cbd5e1">Propagated Error</text> <path d="M 300 22 L 330 22" stroke="#94a3b8" stroke-width="2" marker-end="url(#arrowhead)"/> <rect x="340" y="0" width="120" height="45" rx="6" fill="#f59e0b20" stroke="#f59e0b40"/> <text x="400" y="20" text-anchor="middle" font-family="sans-serif" font-size="11" font-weight="bold" fill="#f59e0b">T-STATISTIC</text> <text x="400" y="35" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#cbd5e1">Signal-to-Noise</text> </g> <!-- Markers --> <defs> <marker id="arrowhead" markerWidth="10" markerHeight="7" refX="0" refY="3.5" orient="auto"> <polygon points="0 0, 10 3.5, 0 7" fill="#94a3b8" /> </marker> </defs> <!-- Decorative Corner Accents --> <circle cx="900" cy="0" r="80" fill="#38bdf8" opacity="0.05"/> <circle cx="0" cy="560" r="120" fill="#e879f9" opacity="0.05"/> </svg>Two-Sample Inference image 1Two-Sample Inference - Statistics and Probability - image 1https://www.getlykke.com/explore/public/statistics-and-probability-b71199d8-8b56-46fd-a7b9-599a91a064e1/media/two-sample-inference/svg/1Two-Sample Inference diagram 1Two-Sample Inference - Statistics and Probability - diagram 1<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <filter id="shadow" x="-20%" y="-20%" width="140%" height="140%"> <feDropShadow dx="0" dy="4" stdDeviation="6" flood-opacity="0.3"/> </filter> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10"/> </pattern> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Header Section --> <text x="450" y="60" text-anchor="middle" font-family="Arial, sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="2">CHI-SQUARE TESTS (χ²)</text> <text x="450" y="85" text-anchor="middle" font-family="Arial, sans-serif" font-size="14" fill="#94a3b8" font-style="italic">Bridging the gap between observed reality and theoretical expectation</text> <line x1="350" y1="105" x2="550" y2="105" stroke="#38bdf8" stroke-width="2" stroke-linecap="round"/> <!-- Left Panel: The Core Formula --> <rect x="40" y="130" width="380" height="180" rx="16" fill="#ffffff10" stroke="#ffffff20"/> <text x="60" y="165" font-family="Arial, sans-serif" font-weight="bold" font-size="18" fill="#f59e0b">THE FUNDAMENTAL STATISTIC</text> <!-- Formula Drawing --> <g transform="translate(140, 190)"> <text x="0" y="40" font-family="serif" font-size="48" fill="#f8fafc">χ² = Σ</text> <line x1="85" y1="35" x2="185" y2="35" stroke="#f8fafc" stroke-width="2"/> <text x="95" y="25" font-family="Arial, sans-serif" font-size="18" fill="#f8fafc">(O - E)²</text> <text x="125" y="60" font-family="Arial, sans-serif" font-size="18" fill="#f8fafc">E</text> </g> <text x="60" y="285" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">O = Observed Frequency</text> <text x="210" y="285" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8">E = Expected Frequency</text> <!-- Right Panel: Distribution Curves --> <rect x="480" y="130" width="380" height="180" rx="16" fill="#ffffff10" stroke="#ffffff20"/> <text x="500" y="165" font-family="Arial, sans-serif" font-weight="bold" font-size="18" fill="#e879f9">THE χ² DISTRIBUTION</text> <!-- Mini Graph --> <g transform="translate(520, 260)"> <path d="M 0,0 L 300,0" stroke="#94a3b8" stroke-width="1"/> <path d="M 0,0 L 0,-80" stroke="#94a3b8" stroke-width="1"/> <!-- df=2 --> <path d="M 2,-75 Q 10,-10 280,-2" fill="none" stroke="#38bdf8" stroke-width="2" opacity="0.6"/> <!-- df=5 --> <path d="M 2,-5 Q 40,-90 280,-5" fill="none" stroke="#f59e0b" stroke-width="2"/> <text x="240" y="-60" font-family="Arial, sans-serif" font-size="11" fill="#38bdf8">df = 2</text> <text x="240" y="-45" font-family="Arial, sans-serif" font-size="11" fill="#f59e0b">df = 5</text> <text x="150" y="15" text-anchor="middle" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8">As df increases, the curve approaches normality</text> </g> <!-- Bottom Section: Two Main Tests --> <!-- Test 1: Goodness of Fit --> <rect x="40" y="330" width="395" height="190" rx="16" fill="#ffffff08" stroke="#38bdf840"/> <circle cx="75" cy="365" r="15" fill="#38bdf820" stroke="#38bdf8" stroke-width="1"/> <text x="75" y="370" text-anchor="middle" font-family="Arial, sans-serif" font-weight="bold" font-size="14" fill="#38bdf8">1</text> <text x="100" y="370" font-family="Arial, sans-serif" font-weight="bold" font-size="18" fill="#f8fafc">Goodness-of-Fit Test</text> <text x="60" y="405" font-family="Arial, sans-serif" font-size="13" fill="#cbd5e1">Compares one categorical variable to a known distribution.</text> <g transform="translate(60, 430)"> <rect width="100" height="60" rx="8" fill="#ffffff10"/> <text x="50" y="25" text-anchor="middle" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8">Example</text> <text x="50" y="45" text-anchor="middle" font-family="Arial, sans-serif" font-weight="bold" font-size="12" fill="#f8fafc">Is a die fair?</text> <text x="120" y="25" font-family="Arial, sans-serif" font-size="13" fill="#f8fafc" font-weight="bold">df = k - 1</text> <text x="120" y="45" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">k = number of categories</text> </g> <!-- Test 2: Independence --> <rect x="465" y="330" width="395" height="190" rx="16" fill="#ffffff08" stroke="#e879f940"/> <circle cx="500" cy="365" r="15" fill="#e879f920" stroke="#e879f9" stroke-width="1"/> <text x="500" y="370" text-anchor="middle" font-family="Arial, sans-serif" font-weight="bold" font-size="14" fill="#e879f9">2</text> <text x="525" y="370" font-family="Arial, sans-serif" font-weight="bold" font-size="18" fill="#f8fafc">Test for Independence</text> <text x="485" y="405" font-family="Arial, sans-serif" font-size="13" fill="#cbd5e1">Evaluates association between two categorical variables.</text> <g transform="translate(485, 430)"> <!-- Contingency Table Icon --> <rect width="100" height="60" rx="8" fill="#ffffff10"/> <line x1="10" y1="30" x2="90" y2="30" stroke="#ffffff20"/> <line x1="50" y1="10" x2="50" y2="50" stroke="#ffffff20"/> <circle cx="30" cy="20" r="3" fill="#e879f9"/> <circle cx="70" cy="40" r="3" fill="#38bdf8"/> <text x="120" y="25" font-family="Arial, sans-serif" font-size="13" fill="#f8fafc" font-weight="bold">df = (r-1)(c-1)</text> <text x="120" y="45" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">r = rows, c = columns</text> </g> <!-- Footer / History --> <rect x="0" y="535" width="900" height="25" fill="#00000030"/> <text x="450" y="552" text-anchor="middle" font-family="Arial, sans-serif" font-size="10" fill="#64748b" letter-spacing="1">PIONEERED BY KARL PEARSON (1900) • NON-PARAMETRIC STATISTICS • CATEGORICAL DATA ANALYSIS</text> </svg>Chi-Square Tests image 1Chi-Square Tests - Statistics and Probability - image 1https://www.getlykke.com/explore/public/statistics-and-probability-b71199d8-8b56-46fd-a7b9-599a91a064e1/media/chi-square-tests/svg/1Chi-Square Tests diagram 1Chi-Square Tests - Statistics and Probability - diagram 1https://www.getlykke.com/explore/public/statistics-and-probability-b71199d8-8b56-46fd-a7b9-599a91a064e1/media/chi-square-tests/svg/2Chi-Square Tests diagram 2Chi-Square Tests - Statistics and Probability - diagram 2https://www.getlykke.com/explore/public/introductory-statistics-a4146afb-5db4-4b78-bb6a-8cef9d5ce9e02026-04-20T04:40:11.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dotPattern" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#334155" fill-opacity="0.5"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dotPattern)"/> <!-- Header --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-size="32" font-weight="800" fill="#f8fafc" letter-spacing="1">SAMPLING &amp; DATA</text> <text x="450" y="75" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="400" fill="#94a3b8" text-transform="uppercase" letter-spacing="3">The Architecture of Statistical Inquiry</text> <rect x="400" y="85" width="100" height="3" fill="#f59e0b" rx="1.5"/> <!-- Main Panels --> <!-- Panel 1: Population vs Sample --> <rect x="30" y="110" width="270" height="340" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="165" y="140" text-anchor="middle" font-family="sans-serif" font-size="18" font-weight="700" fill="#38bdf8">I. The Duality</text> <!-- Population Circle --> <circle cx="165" cy="210" r="50" fill="#38bdf815" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 2"/> <g fill="#38bdf8" opacity="0.6"> <circle cx="145" cy="195" r="3"/><circle cx="180" cy="200" r="3"/><circle cx="160" cy="225" r="3"/> <circle cx="190" cy="220" r="3"/><circle cx="140" cy="215" r="3"/><circle cx="165" cy="185" r="3"/> </g> <text x="165" y="275" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="700" fill="#f8fafc">POPULATION (N)</text> <text x="165" y="292" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#94a3b8">The entire "Universe"</text> <!-- Sample Selection Arrow --> <path d="M165 310 L165 340" stroke="#f59e0b" stroke-width="2" marker-end="url(#arrowhead)"/> <!-- Sample Circle --> <circle cx="165" cy="380" r="30" fill="#f59e0b15" stroke="#f59e0b" stroke-width="2"/> <g fill="#f59e0b"> <circle cx="160" cy="375" r="3"/><circle cx="175" cy="385" r="3"/><circle cx="155" cy="390" r="3"/> </g> <text x="165" y="425" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="700" fill="#f8fafc">SAMPLE (n)</text> <text x="165" y="440" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#94a3b8">The Tangible Subset</text> <!-- Panel 2: Parameters vs Statistics --> <rect x="315" y="110" width="270" height="340" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="450" y="140" text-anchor="middle" font-family="sans-serif" font-size="18" font-weight="700" fill="#e879f9">II. Metrics</text> <!-- Table Structure --> <rect x="335" y="160" width="230" height="260" rx="8" fill="#00000020"/> <!-- Headers --> <text x="345" y="185" font-family="sans-serif" font-size="11" font-weight="700" fill="#94a3b8">METRIC</text> <text x="430" y="185" font-family="sans-serif" font-size="11" font-weight="700" fill="#38bdf8">PARAM (Gk)</text> <text x="510" y="185" font-family="sans-serif" font-size="11" font-weight="700" fill="#f59e0b">STAT (Lat)</text> <line x1="335" y1="195" x2="565" y2="195" stroke="#ffffff15" stroke-width="1"/> <!-- Row: Mean --> <text x="345" y="225" font-family="sans-serif" font-size="13" fill="#f8fafc">Mean</text> <text x="445" y="225" font-family="serif" font-size="18" fill="#38bdf8" text-anchor="middle">μ</text> <text x="525" y="225" font-family="serif" font-size="16" fill="#f59e0b" text-anchor="middle">x̄</text> <!-- Row: Std Dev --> <text x="345" y="265" font-family="sans-serif" font-size="13" fill="#f8fafc">Std Dev</text> <text x="445" y="265" font-family="serif" font-size="18" fill="#38bdf8" text-anchor="middle">σ</text> <text x="525" y="265" font-family="serif" font-size="16" fill="#f59e0b" text-anchor="middle">s</text> <!-- Row: Proportion --> <text x="345" y="305" font-family="sans-serif" font-size="13" fill="#f8fafc">Prop.</text> <text x="445" y="305" font-family="serif" font-size="18" fill="#38bdf8" text-anchor="middle">π</text> <text x="525" y="305" font-family="serif" font-size="16" fill="#f59e0b" text-anchor="middle">p̂</text> <!-- Estimation Arrow --> <path d="M525 330 Q450 380 375 330" fill="none" stroke="#e879f9" stroke-width="2" stroke-dasharray="4 2"/> <text x="450" y="385" text-anchor="middle" font-family="sans-serif" font-size="12" font-style="italic" fill="#e879f9">Estimation Process</text> <text x="450" y="405" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">Using sample to guess truth</text> <!-- Panel 3: Data Ontology --> <rect x="600" y="110" width="270" height="340" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="735" y="140" text-anchor="middle" font-family="sans-serif" font-size="18" font-weight="700" fill="#fbbf24">III. Data Types</text> <!-- Qualitative --> <rect x="620" y="165" width="230" height="60" rx="8" fill="#ffffff05" stroke="#38bdf830"/> <circle cx="645" cy="195" r="12" fill="#38bdf820" stroke="#38bdf8"/> <text x="645" y="199" text-anchor="middle" font-family="sans-serif" font-size="10" font-weight="bold" fill="#38bdf8">A</text> <text x="670" y="188" font-family="sans-serif" font-size="14" font-weight="700" fill="#f8fafc">Qualitative</text> <text x="670" y="205" font-family="sans-serif" font-size="11" fill="#94a3b8">Labels, Categories, Names</text> <!-- Quantitative --> <rect x="620" y="240" width="230" height="180" rx="8" fill="#ffffff05" stroke="#f59e0b30"/> <circle cx="645" cy="270" r="12" fill="#f59e0b20" stroke="#f59e0b"/> <text x="645" y="274" text-anchor="middle" font-family="sans-serif" font-size="10" font-weight="bold" fill="#f59e0b">#</text> <text x="670" y="265" font-family="sans-serif" font-size="14" font-weight="700" fill="#f8fafc">Quantitative</text> <!-- Sub-types --> <line x1="645" y1="285" x2="645" y2="380" stroke="#f59e0b30" stroke-width="1"/> <circle cx="660" cy="320" r="4" fill="#f59e0b"/> <text x="675" y="325" font-family="sans-serif" font-size="13" font-weight="600" fill="#f8fafc">Discrete</text> <text x="675" y="340" font-family="sans-serif" font-size="10" fill="#94a3b8">Countable (e.g. 1, 2, 3)</text> <circle cx="660" cy="375" r="4" fill="#f59e0b"/> <text x="675" y="380" font-family="sans-serif" font-size="13" font-weight="600" fill="#f8fafc">Continuous</text> <text x="675" y="395" font-family="sans-serif" font-size="10" fill="#94a3b8">Measurable (e.g. 1.75m)</text> <!-- Footer Insight --> <rect x="30" y="470" width="840" height="60" rx="12" fill="#f59e0b10" stroke="#f59e0b40"/> <path d="M50 500 L70 500 M60 490 L60 510" stroke="#f59e0b" stroke-width="2" opacity="0.5"/> <text x="90" y="505" font-family="sans-serif" font-size="14" fill="#f8fafc"> <tspan font-weight="bold" fill="#f59e0b">KEY INSIGHT:</tspan> Statistics is the science of extracting meaning from <tspan fill="#e879f9">noise</tspan> by understanding <tspan fill="#38bdf8">variation</tspan>. </text> <!-- Decorative elements --> <circle cx="850" cy="50" r="30" fill="#e879f9" fill-opacity="0.1"/> <circle cx="850" cy="50" r="15" fill="#e879f9" fill-opacity="0.2"/> </svg>Sampling and Data image 1Sampling and Data - Introductory Statistics - image 1https://www.getlykke.com/explore/public/introductory-statistics-a4146afb-5db4-4b78-bb6a-8cef9d5ce9e0/media/sampling-and-data/svg/1Sampling and Data diagram 1Sampling and Data - Introductory Statistics - diagram 1https://www.getlykke.com/explore/public/introductory-statistics-a4146afb-5db4-4b78-bb6a-8cef9d5ce9e0/media/sampling-and-data/svg/2Sampling and Data diagram 2Sampling and Data - Introductory Statistics - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="3" result="blur"/> <feComposite in="SourceGraphic" in2="blur" operator="over"/> </filter> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="40" y="60" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="-0.5">DESCRIPTIVE STATISTICS</text> <text x="40" y="85" font-family="sans-serif" font-size="14" fill="#94a3b8" font-weight="400">The Foundational Layer of Data Characterization &amp; Summarization</text> <rect x="40" y="105" width="180" height="4" fill="url(#accentGrad)" rx="2"/> <!-- Main Central Visual: The Distribution Curve --> <g transform="translate(250, 140)"> <rect width="400" height="260" rx="24" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="200" y="35" font-family="sans-serif" font-size="16" font-weight="600" fill="#f8fafc" text-anchor="middle">THE ANATOMY OF A DISTRIBUTION</text> <!-- Bell Curve Path --> <path d="M 50 220 Q 120 220 160 140 T 200 60 T 240 140 T 350 220" fill="none" stroke="#38bdf8" stroke-width="3" filter="url(#glow)"/> <!-- Central Lines --> <line x1="200" y1="60" x2="200" y2="220" stroke="#f59e0b" stroke-width="2" stroke-dasharray="4 2"/> <circle cx="200" cy="60" r="4" fill="#f59e0b"/> <text x="205" y="80" font-family="sans-serif" font-size="11" fill="#f59e0b" font-weight="bold">MEAN / MEDIAN / MODE</text> <!-- Dispersion Arrows --> <path d="M 140 160 L 260 160" stroke="#e879f9" stroke-width="1.5" marker-start="url(#arrow)" marker-end="url(#arrow)"/> <text x="200" y="155" font-family="sans-serif" font-size="10" fill="#e879f9" text-anchor="middle" font-weight="bold">STANDARD DEVIATION (σ)</text> <!-- Baseline --> <line x1="40" y1="220" x2="360" y2="220" stroke="#94a3b8" stroke-width="1"/> <!-- Small Data Points --> <circle cx="80" cy="220" r="3" fill="#38bdf8" opacity="0.6"/> <circle cx="110" cy="220" r="3" fill="#38bdf8" opacity="0.6"/> <circle cx="290" cy="220" r="3" fill="#38bdf8" opacity="0.6"/> <circle cx="330" cy="220" r="3" fill="#e879f9" opacity="0.9"/> <!-- Outlier --> <text x="330" y="235" font-family="sans-serif" font-size="9" fill="#e879f9" text-anchor="middle">OUTLIER</text> </g> <!-- Left Panel: Central Tendency --> <g transform="translate(40, 140)"> <rect width="190" height="380" rx="16" fill="#ffffff10" stroke="#ffffff10"/> <text x="20" y="35" font-family="sans-serif" font-size="18" font-weight="700" fill="#38bdf8">CENTRAL TENDENCY</text> <!-- Mean Section --> <g transform="translate(20, 60)"> <rect width="30" height="30" rx="6" fill="#38bdf820"/> <path d="M 8 22 L 22 22 M 15 8 L 15 22" stroke="#38bdf8" stroke-width="2"/> <text x="40" y="15" font-family="sans-serif" font-size="14" font-weight="700" fill="#f8fafc">MEAN (Average)</text> <text x="40" y="30" font-family="sans-serif" font-size="11" fill="#94a3b8">The balance point. Sensitive</text> <text x="40" y="42" font-family="sans-serif" font-size="11" fill="#94a3b8">to extreme outliers.</text> </g> <!-- Median Section --> <g transform="translate(20, 135)"> <rect width="30" height="30" rx="6" fill="#f59e0b20"/> <path d="M 8 15 L 22 15 M 15 8 L 15 22" stroke="#f59e0b" stroke-width="2" transform="rotate(45 15 15)"/> <text x="40" y="15" font-family="sans-serif" font-size="14" font-weight="700" fill="#f8fafc">MEDIAN (Middle)</text> <text x="40" y="30" font-family="sans-serif" font-size="11" fill="#94a3b8">The robust center. Splits</text> <text x="40" y="42" font-family="sans-serif" font-size="11" fill="#94a3b8">data into two equal halves.</text> </g> <!-- Mode Section --> <g transform="translate(20, 210)"> <rect width="30" height="30" rx="6" fill="#e879f920"/> <path d="M 10 22 L 10 12 M 15 22 L 15 8 M 20 22 L 20 16" stroke="#e879f9" stroke-width="2"/> <text x="40" y="15" font-family="sans-serif" font-size="14" font-weight="700" fill="#f8fafc">MODE (Frequent)</text> <text x="40" y="30" font-family="sans-serif" font-size="11" fill="#94a3b8">The most common value.</text> <text x="40" y="42" font-family="sans-serif" font-size="11" fill="#94a3b8">Works for categories.</text> </g> <!-- Formula Box --> <rect x="15" y="280" width="160" height="80" rx="8" fill="#00000030"/> <text x="25" y="305" font-family="serif" font-style="italic" font-size="16" fill="#f8fafc">x̄ = Σ x / n</text> <text x="25" y="330" font-family="sans-serif" font-size="10" fill="#94a3b8">"The arithmetic mean is the</text> <text x="25" y="342" font-family="sans-serif" font-size="10" fill="#94a3b8">sum of parts over count."</text> </g> <!-- Right Panel: Dispersion --> <g transform="translate(670, 140)"> <rect width="190" height="380" rx="16" fill="#ffffff10" stroke="#ffffff10"/> <text x="20" y="35" font-family="sans-serif" font-size="18" font-weight="700" fill="#e879f9">DISPERSION</text> <!-- Variance --> <g transform="translate(20, 60)"> <text x="0" y="15" font-family="sans-serif" font-size="14" font-weight="700" fill="#f8fafc">VARIANCE (s²)</text> <text x="0" y="32" font-family="sans-serif" font-size="11" fill="#94a3b8">Average squared distance</text> <text x="0" y="44" font-family="sans-serif" font-size="11" fill="#94a3b8">from the mean.</text> </g> <!-- Std Dev --> <g transform="translate(20, 135)"> <text x="0" y="15" font-family="sans-serif" font-size="14" font-weight="700" fill="#f8fafc">STD. DEVIATION (σ)</text> <text x="0" y="32" font-family="sans-serif" font-size="11" fill="#94a3b8">Square root of variance.</text> <text x="0" y="44" font-family="sans-serif" font-size="11" fill="#94a3b8">Returns to original units.</text> </g> <!-- IQR --> <g transform="translate(20, 210)"> <text x="0" y="15" font-family="sans-serif" font-size="14" font-weight="700" fill="#f8fafc">RANGE &amp; IQR</text> <text x="0" y="32" font-family="sans-serif" font-size="11" fill="#94a3b8">The 'width' of the data.</text> <text x="0" y="44" font-family="sans-serif" font-size="11" fill="#94a3b8">IQR = Q3 - Q1</text> </g> <!-- Visual Aid: Spread --> <g transform="translate(20, 280)"> <rect width="150" height="80" rx="8" fill="#00000030"/> <line x1="20" y1="40" x2="130" y2="40" stroke="#94a3b8" stroke-width="1"/> <rect x="45" y="30" width="60" height="20" fill="#e879f940" stroke="#e879f9" stroke-width="1"/> <line x1="75" y1="30" x2="75" y2="50" stroke="#f8fafc" stroke-width="2"/> <text x="75" y="70" font-family="sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">Box Plot Representation</text> </g> </g> <!-- Bottom Banner: The Sanity Check --> <g transform="translate(250, 420)"> <rect width="400" height="100" rx="16" fill="#f59e0b15" stroke="#f59e0b40"/> <circle cx="40" cy="50" r="20" fill="#f59e0b"/> <text x="40" y="56" font-family="sans-serif" font-size="20" font-weight="900" fill="#0f172a" text-anchor="middle">!</text> <text x="75" y="45" font-family="sans-serif" font-size="16" font-weight="700" fill="#f59e0b">THE "SANITY CHECK" PHASE</text> <text x="75" y="65" font-family="sans-serif" font-size="12" fill="#f8fafc">Avoid "Garbage In, Garbage Out" (GIGO). 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Introductory Statistics - diagram 3https://www.getlykke.com/explore/public/introductory-statistics-a4146afb-5db4-4b78-bb6a-8cef9d5ce9e0/media/probability-topics/svg/1Probability Topics diagram 1Probability Topics - Introductory Statistics - diagram 1https://www.getlykke.com/explore/public/introductory-statistics-a4146afb-5db4-4b78-bb6a-8cef9d5ce9e0/media/probability-topics/svg/2Probability Topics diagram 2Probability Topics - Introductory Statistics - diagram 2https://www.getlykke.com/explore/public/introductory-statistics-a4146afb-5db4-4b78-bb6a-8cef9d5ce9e0/media/probability-topics/svg/3Probability Topics diagram 3Probability Topics - Introductory Statistics - diagram 3https://www.getlykke.com/explore/public/introductory-statistics-a4146afb-5db4-4b78-bb6a-8cef9d5ce9e0/media/discrete-random-variables/svg/1Discrete Random Variables diagram 1Discrete Random Variables - Introductory Statistics - diagram 1https://www.getlykke.com/explore/public/introductory-statistics-a4146afb-5db4-4b78-bb6a-8cef9d5ce9e0/media/discrete-random-variables/svg/2Discrete Random Variables diagram 2Discrete Random Variables - Introductory Statistics - diagram 2https://www.getlykke.com/explore/public/introductory-statistics-a4146afb-5db4-4b78-bb6a-8cef9d5ce9e0/media/discrete-random-variables/svg/3Discrete Random Variables diagram 3Discrete Random Variables - Introductory Statistics - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#818cf8"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="3" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Header Section --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">CONTINUOUS RANDOM VARIABLES</text> <text x="450" y="75" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" font-style="italic">The Mathematics of Infinite Precision and Density</text> <line x1="350" y1="90" x2="550" y2="90" stroke="url(#accentGrad)" stroke-width="2" stroke-linecap="round"/> <!-- Left Card: Discrete vs Continuous --> <rect x="30" y="110" width="260" height="420" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="160" y="145" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">THE FUNDAMENTAL SHIFT</text> <!-- Comparison Icons --> <g transform="translate(65, 170)"> <rect width="80" height="80" rx="8" fill="#ffffff05" stroke="#94a3b8" stroke-dasharray="4 2"/> <text x="40" y="45" text-anchor="middle" font-family="serif" font-size="36" fill="#94a3b8">Σ</text> <text x="40" y="95" text-anchor="middle" font-family="sans-serif" font-size="12" fill="#94a3b8">Discrete Sum</text> </g> <g transform="translate(175, 170)"> <rect width="80" height="80" rx="8" fill="#38bdf815" stroke="#38bdf8"/> <text x="40" y="45" text-anchor="middle" font-family="serif" font-size="36" fill="#38bdf8">∫</text> <text x="40" y="95" text-anchor="middle" font-family="sans-serif" font-size="12" fill="#38bdf8">Continuous</text> </g> <g font-family="sans-serif" font-size="13" fill="#f8fafc"> <text x="50" y="300">• Countable Outcomes</text> <text x="50" y="325" fill="#94a3b8" font-size="11">vs. Uncountable Intervals</text> <text x="50" y="360">• Point Probability P(X=x)</text> <text x="50" y="385" fill="#94a3b8" font-size="11">vs. Density Probability P(a&lt;X&lt;b)</text> <text x="50" y="420">• Bar Charts &amp; PMFs</text> <text x="50" y="445" fill="#94a3b8" font-size="11">vs. Smooth Density Curves (PDF)</text> </g> <!-- Middle Card: The PDF Geometry --> <rect x="310" y="110" width="280" height="420" rx="16" fill="#ffffff10" stroke="#ffffff20" stroke-width="1"/> <text x="450" y="145" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">GEOMETRY OF DENSITY</text> <!-- PDF Curve Illustration --> <g transform="translate(330, 180)"> <!-- Axis --> <line x1="10" y1="140" x2="230" y2="140" stroke="#94a3b8" stroke-width="1"/> <line x1="10" y1="20" x2="10" y2="140" stroke="#94a3b8" stroke-width="1"/> <!-- Shaded Area --> <path d="M 80 140 L 80 75 Q 120 40 160 85 L 160 140 Z" fill="#f59e0b40" /> <!-- Curve --> <path d="M 20 130 Q 60 120 90 60 T 160 90 T 220 135" fill="none" stroke="#f59e0b" stroke-width="3" filter="glow"/> <!-- Labels --> <text x="80" y="155" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">a</text> <text x="160" y="155" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">b</text> <text x="120" y="110" text-anchor="middle" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f59e0b">Area = P(a ≤ X ≤ b)</text> <text x="220" y="50" text-anchor="end" font-family="serif" font-size="14" fill="#f8fafc">f(x)</text> </g> <g font-family="sans-serif" font-size="12" fill="#cbd5e1"> <text x="335" y="360" font-weight="bold" fill="#f8fafc">1. Non-negativity:</text> <text x="335" y="378">f(x) ≥ 0 for all x</text> <text x="335" y="410" font-weight="bold" fill="#f8fafc">2. Unit Area:</text> <text x="335" y="428">∫ f(x) dx = 1 (Total Probability)</text> <text x="335" y="460" font-weight="bold" fill="#f8fafc">3. The Zero Paradox:</text> <text x="335" y="478">P(X = exact value) = 0</text> <text x="335" y="494" font-size="10" fill="#94a3b8">Area of a single point is zero.</text> </g> <!-- Right Card: Uniform Distribution --> <rect x="610" y="110" width="260" height="420" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="740" y="145" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">UNIFORM MODEL</text> <!-- Uniform Graphic --> <g transform="translate(640, 180)"> <rect x="30" y="40" width="140" height="80" fill="#e879f920" stroke="#e879f9" stroke-width="2" stroke-dasharray="2 2"/> <line x1="10" y1="120" x2="190" y2="120" stroke="#94a3b8" stroke-width="1"/> <text x="30" y="135" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">a</text> <text x="170" y="135" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">b</text> <text x="25" y="45" text-anchor="end" font-family="serif" font-size="10" fill="#e879f9">1/(b-a)</text> <text x="100" y="85" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#f8fafc">Equal Likelihood</text> </g> <rect x="630" y="340" width="220" height="160" rx="8" fill="#00000030"/> <g font-family="monospace" font-size="12" fill="#e879f9"> <text x="645" y="365">Mean: (a + b) / 2</text> <text x="645" y="390" fill="#94a3b8">Var: (b - a)² / 12</text> <text x="645" y="415" fill="#94a3b8">CDF: (x - a) / (b - a)</text> </g> <text x="645" y="450" font-family="sans-serif" font-size="11" fill="#f8fafc" font-weight="bold">Use Case:</text> <text x="645" y="468" font-family="sans-serif" font-size="11" fill="#94a3b8">Wait times, random number</text> <text x="645" y="482" font-family="sans-serif" font-size="11" fill="#94a3b8">generation, and quantization</text> <text x="645" y="496" font-family="sans-serif" font-size="11" fill="#94a3b8">error modeling.</text> <!-- Decorative Footer Elements --> <circle cx="40" cy="40" r="20" fill="#38bdf8" fill-opacity="0.1"/> <circle cx="860" cy="520" r="30" fill="#e879f9" fill-opacity="0.1"/> <path d="M 820 40 L 850 70 M 850 40 L 820 70" stroke="#ffffff10" stroke-width="2"/> </svg>Continuous Random Variables image 1Continuous Random Variables - Introductory Statistics - image 1https://www.getlykke.com/explore/public/introductory-statistics-a4146afb-5db4-4b78-bb6a-8cef9d5ce9e0/media/continuous-random-variables/svg/1Continuous Random Variables diagram 1Continuous Random Variables - Introductory Statistics - diagram 1https://www.getlykke.com/explore/public/introductory-statistics-a4146afb-5db4-4b78-bb6a-8cef9d5ce9e0/media/continuous-random-variables/svg/2Continuous Random Variables diagram 2Continuous Random Variables - Introductory Statistics - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <!-- Definitions: Gradients, Filters, and Patterns --> <defs> <linearGradient id="bgGradient" x1="0%" y1="0%" x2="0%" y2="100%"> <stop offset="0%" stop-color="#0f172a" /> <stop offset="100%" stop-color="#1e1b4b" /> </linearGradient> <pattern id="dotPattern" x="0" y="0" width="30" height="30" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff08" /> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="3" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> <linearGradient id="curveGradient" x1="0%" y1="0%" x2="100%" y2="0%"> <stop offset="0%" stop-color="#38bdf8" /> <stop offset="50%" stop-color="#e879f9" /> <stop offset="100%" stop-color="#f59e0b" /> </linearGradient> </defs> <!-- Background Layer --> <rect width="900" height="560" fill="url(#bgGradient)" /> <rect width="900" height="560" fill="url(#dotPattern)" /> <!-- Header Section --> <text x="450" y="50" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="32" font-weight="800" letter-spacing="1">THE NORMAL DISTRIBUTION</text> <text x="450" y="75" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="14" font-weight="400" letter-spacing="2">THE GAUSSIAN FOUNDATION OF STATISTICS</text> <line x1="350" y1="90" x2="550" y2="90" stroke="#ffffff20" stroke-width="1" /> <!-- Main Visualization Area: The Bell Curve --> <!-- Shaded Areas for Empirical Rule --> <path d="M 150,420 Q 300,420 350,370 T 450,180 T 550,370 Q 600,420 750,420 L 750,420 L 150,420 Z" fill="#ffffff05" /> <!-- 99.7% Zone --> <path d="M 210,420 Q 300,420 350,370 T 450,180 T 550,370 Q 600,420 690,420 Z" fill="#f59e0b10" /> <!-- 95% Zone --> <path d="M 290,420 Q 330,420 370,330 T 450,180 T 530,330 Q 570,420 610,420 Z" fill="#e879f915" /> <!-- 68% Zone --> <path d="M 370,420 Q 390,420 410,260 T 450,180 T 490,260 Q 510,420 530,420 Z" fill="#38bdf825" /> <!-- The Curve Line --> <path d="M 150,420 Q 300,420 350,370 T 450,180 T 550,370 Q 600,420 750,420" fill="none" stroke="url(#curveGradient)" stroke-width="4" filter="url(#glow)" /> <!-- Axis and Labels --> <line x1="120" y1="420" x2="780" y2="420" stroke="#94a3b8" stroke-width="2" stroke-linecap="round" /> <text x="450" y="445" text-anchor="middle" fill="#f8fafc" font-family="serif" font-size="18" font-style="italic">μ (Mean)</text> <!-- Empirical Rule Callouts --> <g font-family="sans-serif" font-weight="bold" text-anchor="middle"> <text x="450" y="320" fill="#38bdf8" font-size="16">68.2%</text> <text x="450" y="335" fill="#38bdf8" font-size="10" font-weight="normal">±1σ</text> <text x="330" y="390" fill="#e879f9" font-size="14">95.4%</text> <text x="330" y="402" fill="#e879f9" font-size="9" font-weight="normal">±2σ</text> <text x="570" y="390" fill="#e879f9" font-size="14">95.4%</text> <text x="570" y="402" fill="#e879f9" font-size="9" font-weight="normal">±2σ</text> </g> <!-- Left Panel: Parameters --> <rect x="30" y="130" width="200" height="260" rx="16" fill="#ffffff08" stroke="#ffffff15" /> <circle cx="55" cy="160" r="12" fill="#38bdf8" /> <text x="55" y="165" text-anchor="middle" fill="#0f172a" font-family="sans-serif" font-size="12" font-weight="bold">1</text> <text x="75" y="165" fill="#f8fafc" font-family="sans-serif" font-size="16" font-weight="bold">Parameters</text> <text x="50" y="200" fill="#38bdf8" font-family="serif" font-size="20" font-weight="bold">μ</text> <text x="75" y="200" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="bold">Mean</text> <text x="50" y="218" fill="#94a3b8" font-family="sans-serif" font-size="11">The center of the bell. Where</text> <text x="50" y="232" fill="#94a3b8" font-family="sans-serif" font-size="11">Mean = Median = Mode.</text> <text x="50" y="270" fill="#e879f9" font-family="serif" font-size="20" font-weight="bold">σ</text> <text x="75" y="270" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="bold">Std. Deviation</text> <text x="50" y="288" fill="#94a3b8" font-family="sans-serif" font-size="11">The spread. Larger σ creates</text> <text x="50" y="302" fill="#94a3b8" font-family="sans-serif" font-size="11">a wider, flatter curve.</text> <rect x="50" y="325" width="160" height="45" rx="8" fill="#00000030" /> <text x="130" y="345" text-anchor="middle" fill="#f8fafc" font-family="serif" font-size="11">f(x|μ,σ) = [1/σ√(2π)]</text> <text x="130" y="360" text-anchor="middle" fill="#f8fafc" font-family="serif" font-size="11">· e^[-(x-μ)²/2σ²]</text> <!-- Right Panel: Standardization --> <rect x="670" y="130" width="200" height="260" rx="16" fill="#ffffff08" stroke="#ffffff15" /> <circle cx="695" cy="160" r="12" fill="#e879f9" /> <text x="695" y="165" text-anchor="middle" fill="#0f172a" font-family="sans-serif" font-size="12" font-weight="bold">2</text> <text x="715" y="165" fill="#f8fafc" font-family="sans-serif" font-size="16" font-weight="bold">Z-Scores</text> <text x="690" y="200" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="bold">Standardization</text> <text x="690" y="218" fill="#94a3b8" font-family="sans-serif" font-size="11">Converting any normal curve</text> <text x="690" y="232" fill="#94a3b8" font-family="sans-serif" font-size="11">to μ=0 and σ=1.</text> <path d="M 710,260 L 830,260 M 770,260 L 770,310" stroke="#ffffff20" stroke-width="1" /> <text x="770" y="340" text-anchor="middle" fill="#f59e0b" font-family="serif" font-size="24" font-weight="bold">z = (x - μ) / σ</text> <text x="770" y="365" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="11">The distance from the mean</text> <text x="770" y="378" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="11">in units of standard deviation.</text> <!-- Bottom Panel: Real World Examples --> <rect x="30" y="470" width="840" height="70" rx="16" fill="#ffffff05" stroke="#ffffff10" /> <text x="60" y="510" fill="#f59e0b" font-family="sans-serif" font-size="14" font-weight="bold">COMMON APPLICATIONS:</text> <g transform="translate(250, 495)"> <circle cx="0" cy="10" r="15" fill="#38bdf820" stroke="#38bdf8" stroke-width="1" /> <path d="M -5,15 L -5,5 L 5,5 L 5,15" fill="none" stroke="#38bdf8" stroke-width="1.5" /> <text x="25" y="15" fill="#f8fafc" font-family="sans-serif" font-size="12">Biological Heights</text> </g> <g transform="translate(450, 495)"> <circle cx="0" cy="10" r="15" fill="#e879f920" stroke="#e879f9" stroke-width="1" /> <path d="M -6,10 L 6,10 M 0,4 L 0,16" fill="none" stroke="#e879f9" stroke-width="1.5" /> <text x="25" y="15" fill="#f8fafc" font-family="sans-serif" font-size="12">Measurement Errors</text> </g> <g transform="translate(670, 495)"> <circle cx="0" cy="10" r="15" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1" /> <path d="M -5,10 Q 0,0 5,10 T 15,10" fill="none" stroke="#f59e0b" stroke-width="1.5" /> <text x="25" y="15" fill="#f8fafc" font-family="sans-serif" font-size="12">IQ &amp; Test Scores</text> </g> <!-- Decorative elements --> <circle cx="850" cy="50" r="40" fill="#f59e0b05" /> <circle cx="850" cy="50" r="20" fill="#f59e0b10" /> <circle cx="50" cy="510" r="30" fill="#38bdf805" /> </svg>The Normal Distribution image 1The Normal Distribution - Introductory Statistics - image 1https://www.getlykke.com/explore/public/introductory-statistics-a4146afb-5db4-4b78-bb6a-8cef9d5ce9e0/media/the-normal-distribution/svg/1The Normal Distribution diagram 1The Normal Distribution - Introductory Statistics - diagram 1https://www.getlykke.com/explore/public/introductory-statistics-a4146afb-5db4-4b78-bb6a-8cef9d5ce9e0/media/the-normal-distribution/svg/2The Normal Distribution diagram 2The Normal Distribution - Introductory Statistics - diagram 2https://www.getlykke.com/explore/public/introductory-statistics-a4146afb-5db4-4b78-bb6a-8cef9d5ce9e0/media/the-normal-distribution/svg/3The Normal Distribution diagram 3The Normal Distribution - Introductory Statistics - diagram 3<svg viewBox="0 0 900 560" xmlns="http://www.w3.org/2000/svg"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <!-- Decorative Grid --> <g stroke="#ffffff08" stroke-width="1"> <path d="M 0 100 H 900 M 0 200 H 900 M 0 300 H 900 M 0 400 H 900 M 0 500 H 900"/> <path d="M 100 0 V 560 M 200 0 V 560 M 300 0 V 560 M 400 0 V 560 M 500 0 V 560 M 600 0 V 560 M 700 0 V 560 M 800 0 V 560"/> </g> <!-- Header Section --> <text x="40" y="60" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">The Central Limit Theorem</text> <text x="40" y="85" font-family="sans-serif" font-size="16" fill="#94a3b8" letter-spacing="1">THE BRIDGE FROM CHAOS TO ORDER</text> <rect x="40" y="105" width="120" height="4" rx="2" fill="url(#accentGrad)"/> <!-- Main Conceptual Flow --> <!-- Step 1: Population --> <rect x="40" y="140" width="250" height="240" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="175" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">1. The Population</text> <text x="60" y="195" font-family="sans-serif" font-size="12" fill="#94a3b8">Any distribution shape (skewed, uniform, discrete)</text> <!-- Skewed Distribution Graphic --> <path d="M 70 330 Q 80 230 120 230 T 260 330" fill="none" stroke="#f59e0b" stroke-width="3" filter="url(#glow)"/> <line x1="70" y1="330" x2="260" y2="330" stroke="#475569" stroke-width="1"/> <text x="70" y="350" font-family="serif" font-style="italic" font-size="14" fill="#f59e0b">μ</text> <text x="160" y="260" font-family="sans-serif" font-size="11" fill="#f8fafc" opacity="0.8">Non-Normal Data</text> <!-- Arrow 1 --> <path d="M 305 260 L 335 260" stroke="#38bdf8" stroke-width="2" fill="none" marker-end="url(#arrowhead)"/> <!-- Step 2: Sampling --> <rect x="325" y="140" width="250" height="240" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="345" y="175" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">2. Sampling Process</text> <text x="345" y="195" font-family="sans-serif" font-size="12" fill="#94a3b8">Take repeated samples of size n</text> <!-- Sampling Animation Concept --> <g transform="translate(365, 230)"> <circle cx="0" cy="0" r="15" fill="#38bdf822" stroke="#38bdf8" stroke-width="1"/> <text x="-8" y="5" font-family="sans-serif" font-size="10" fill="#38bdf8">n₁</text> <circle cx="40" cy="20" r="15" fill="#38bdf822" stroke="#38bdf8" stroke-width="1"/> <text x="32" y="25" font-family="sans-serif" font-size="10" fill="#38bdf8">n₂</text> <circle cx="80" cy="-10" r="15" fill="#38bdf822" stroke="#38bdf8" stroke-width="1"/> <text x="72" y="-5" font-family="sans-serif" font-size="10" fill="#38bdf8">n₃</text> <circle cx="120" cy="30" r="15" fill="#38bdf822" stroke="#38bdf8" stroke-width="1"/> <text x="112" y="35" font-family="sans-serif" font-size="10" fill="#38bdf8">n...</text> <path d="M 0 60 Q 85 100 170 60" fill="none" stroke="#38bdf8" stroke-dasharray="4 2" opacity="0.5"/> <text x="35" y="105" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Calculate Means (x̄)</text> </g> <!-- Arrow 2 --> <path d="M 590 260 L 620 260" stroke="#e879f9" stroke-width="2" fill="none"/> <!-- Step 3: Result --> <rect x="610" y="140" width="250" height="240" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="630" y="175" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">3. The Normal Curve</text> <text x="630" y="195" font-family="sans-serif" font-size="12" fill="#94a3b8">The distribution of x̄ becomes Gaussian</text> <!-- Bell Curve Graphic --> <path d="M 640 330 Q 735 180 830 330" fill="none" stroke="#e879f9" stroke-width="3" filter="url(#glow)"/> <line x1="640" y1="330" x2="830" y2="330" stroke="#475569" stroke-width="1"/> <line x1="735" y1="330" x2="735" y2="210" stroke="#e879f9" stroke-dasharray="2 2"/> <text x="730" y="350" font-family="serif" font-style="italic" font-size="14" fill="#e879f9">μ</text> <text x="745" y="240" font-family="sans-serif" font-size="11" fill="#f8fafc">n ≥ 30</text> <!-- Bottom Info Panels --> <!-- LLN vs CLT --> <rect x="40" y="400" width="400" height="130" rx="16" fill="#ffffff05" stroke="#ffffff10"/> <text x="60" y="430" font-family="sans-serif" font-weight="700" font-size="16" fill="#f8fafc">LLN vs. CLT</text> <text x="60" y="455" font-family="sans-serif" font-size="12" fill="#94a3b8">Law of Large Numbers (LLN):</text> <text x="60" y="472" font-family="sans-serif" font-size="13" fill="#f8fafc">The sample mean converges to the population mean.</text> <text x="60" y="495" font-family="sans-serif" font-size="12" fill="#94a3b8">Central Limit Theorem (CLT):</text> <text x="60" y="512" font-family="sans-serif" font-size="13" fill="#f8fafc">The distribution of means takes a specific shape.</text> <!-- Standard Error Panel --> <rect x="460" y="400" width="400" height="130" rx="16" fill="#0ea5e915" stroke="#38bdf833"/> <text x="480" y="430" font-family="sans-serif" font-weight="700" font-size="16" fill="#38bdf8">The Square Root Law</text> <text x="480" y="465" font-family="serif" font-size="24" fill="#f8fafc">SE = σ / √n</text> <text x="480" y="495" font-family="sans-serif" font-size="12" fill="#94a3b8">To double your precision (halve the error),</text> <text x="480" y="512" font-family="sans-serif" font-size="12" font-weight="bold" fill="#38bdf8">you must quadruple your sample size.</text> <!-- Decorative elements --> <circle cx="850" cy="50" r="30" fill="none" stroke="#ffffff10" stroke-width="8"/> <circle cx="850" cy="50" r="15" fill="#e879f922"/> </svg>The Central Limit Theorem image 1The Central Limit Theorem - Introductory Statistics - image 1https://www.getlykke.com/explore/public/introductory-statistics-a4146afb-5db4-4b78-bb6a-8cef9d5ce9e0/media/the-central-limit-theorem/svg/1The Central Limit Theorem diagram 1The Central Limit Theorem - Introductory Statistics - diagram 1https://www.getlykke.com/explore/public/introductory-statistics-a4146afb-5db4-4b78-bb6a-8cef9d5ce9e0/media/the-central-limit-theorem/svg/2The Central Limit Theorem diagram 2The Central Limit Theorem - Introductory Statistics - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#334155" fill-opacity="0.5"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="3" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Title Section --> <text x="450" y="55" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">CONFIDENCE INTERVALS</text> <text x="450" y="80" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" font-style="italic">Quantifying Uncertainty in Frequentist Statistics</text> <line x1="380" y1="95" x2="520" y2="95" stroke="#38bdf8" stroke-width="2" stroke-linecap="round"/> <!-- Left Panel: The Anatomy --> <rect x="40" y="120" width="260" height="280" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="150" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">THE ANATOMY</text> <!-- Anatomy Diagram --> <g transform="translate(60, 210)"> <line x1="0" y1="0" x2="220" y2="0" stroke="#94a3b8" stroke-width="2" stroke-dasharray="4 2"/> <circle cx="110" cy="0" r="6" fill="#38bdf8" filter="url(#glow)"/> <path d="M 30 -10 L 30 10 M 30 0 L 190 0 M 190 -10 L 190 10" stroke="#f8fafc" stroke-width="3" fill="none"/> <text x="110" y="-15" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#38bdf8" font-weight="bold">POINT ESTIMATE (x̄)</text> <text x="110" y="35" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#f8fafc">MARGIN OF ERROR (EBM)</text> <path d="M 110 20 L 190 20" stroke="#f8fafc" stroke-width="1" marker-end="url(#arrow)"/> <path d="M 110 20 L 30 20" stroke="#f8fafc" stroke-width="1"/> </g> <text x="60" y="300" font-family="sans-serif" font-size="12" fill="#94a3b8" width="220"> <tspan x="60" dy="1.4em">• Confidence Level (1 - α)</tspan> <tspan x="60" dy="1.4em">• Critical Value (z* or t*)</tspan> <tspan x="60" dy="1.4em">• Standard Error (SE)</tspan> <tspan x="60" dy="1.4em">• Sample Size (n)</tspan> </text> <!-- Center Panel: The Frequentist Interpretation --> <rect x="320" y="120" width="260" height="280" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="340" y="150" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">THE INTERPRETATION</text> <!-- Frequentist Visualization --> <g transform="translate(450, 180)"> <line x1="0" y1="0" x2="0" y2="180" stroke="#f59e0b" stroke-width="2" stroke-dasharray="2 2"/> <text x="5" y="10" font-family="sans-serif" font-size="10" fill="#f59e0b">TRUE PARAMETER (μ)</text> <!-- Intervals --> <g stroke-width="1.5"> <line x1="-40" y1="30" x2="30" y2="30" stroke="#38bdf8"/> <line x1="-20" y1="50" x2="50" y2="50" stroke="#38bdf8"/> <line x1="-60" y1="70" x2="10" y2="70" stroke="#38bdf8"/> <!-- The Miss --> <line x1="10" y1="90" x2="80" y2="90" stroke="#e879f9" stroke-width="2.5"/> <circle cx="45" cy="90" r="3" fill="#e879f9"/> <line x1="-30" y1="110" x2="40" y2="110" stroke="#38bdf8"/> <line x1="-50" y1="130" x2="20" y2="130" stroke="#38bdf8"/> <line x1="-10" y1="150" x2="60" y2="150" stroke="#38bdf8"/> </g> </g> <text x="340" y="365" font-family="sans-serif" font-size="11" fill="#94a3b8"> <tspan x="340" dy="1.2em">If we repeat sampling 100 times,</tspan> <tspan x="340" dy="1.2em">95 intervals will capture the</tspan> <tspan x="340" dy="1.2em">true population parameter.</tspan> </text> <!-- Right Panel: Z vs T Distribution --> <rect x="600" y="120" width="260" height="280" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="620" y="150" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">Z vs. T DISTRIBUTIONS</text> <!-- Curve Comparison --> <g transform="translate(630, 250)"> <!-- Z Curve (Normal) --> <path d="M 0 0 Q 100 -120 200 0" stroke="#38bdf8" stroke-width="2" fill="none"/> <!-- T Curve (Heavier Tails) --> <path d="M 0 0 Q 100 -80 200 0" stroke="#e879f9" stroke-width="2" fill="none" stroke-dasharray="4 2"/> <line x1="0" y1="0" x2="200" y2="0" stroke="#94a3b8" stroke-width="1"/> <text x="100" y="-100" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#38bdf8">Z (Normal)</text> <text x="100" y="-55" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#e879f9">T (Heavier Tails)</text> </g> <text x="620" y="300" font-family="sans-serif" font-size="12" fill="#94a3b8"> <tspan x="620" dy="1.4em" fill="#f8fafc" font-weight="bold">Use Z-Distribution if:</tspan> <tspan x="620" dy="1.4em">Population σ is known.</tspan> <tspan x="620" dy="1.8em" fill="#f8fafc" font-weight="bold">Use T-Distribution if:</tspan> <tspan x="620" dy="1.4em">σ is unknown (use sample s).</tspan> <tspan x="620" dy="1.4em">Essential for small samples (n &lt; 30).</tspan> </text> <!-- Bottom Panel: The Formulas --> <rect x="40" y="420" width="820" height="110" rx="16" fill="#ffffff10" stroke="#ffffff20"/> <g transform="translate(80, 455)"> <text x="0" y="0" font-family="serif" font-size="20" fill="#f8fafc">CI = x̄ ± z* · (σ / √n)</text> <text x="0" y="25" font-family="sans-serif" font-size="12" fill="#38bdf8">Standard Normal Case</text> </g> <line x1="450" y1="440" x2="450" y2="510" stroke="#ffffff20" stroke-width="1"/> <g transform="translate(500, 455)"> <text x="0" y="0" font-family="serif" font-size="20" fill="#f8fafc">CI = x̄ ± t* · (s / √n)</text> <text x="0" y="25" font-family="sans-serif" font-size="12" fill="#e879f9">Student's T Case (df = n - 1)</text> </g> <!-- Decorative Guinness Reference --> <text x="840" y="515" text-anchor="end" font-family="sans-serif" font-size="9" fill="#475569">Gosset's Brewery Method (1908)</text> <!-- Corner Accents --> <circle cx="40" cy="40" r="20" fill="#38bdf8" fill-opacity="0.1"/> <circle cx="860" cy="520" r="30" fill="#f59e0b" fill-opacity="0.05"/> </svg>Confidence Intervals image 1Confidence Intervals - Introductory Statistics - image 1https://www.getlykke.com/explore/public/introductory-statistics-a4146afb-5db4-4b78-bb6a-8cef9d5ce9e0/media/confidence-intervals/svg/1Confidence Intervals diagram 1Confidence Intervals - Introductory Statistics - diagram 1https://www.getlykke.com/explore/public/introductory-statistics-a4146afb-5db4-4b78-bb6a-8cef9d5ce9e0/media/confidence-intervals/svg/2Confidence Intervals diagram 2Confidence Intervals - Introductory Statistics - diagram 2https://www.getlykke.com/explore/public/introductory-statistics-a4146afb-5db4-4b78-bb6a-8cef9d5ce9e0/media/confidence-intervals/svg/3Confidence Intervals diagram 3Confidence Intervals - Introductory Statistics - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <filter id="glow" x="-20%" y="-20%" width="140%" height="140%"> <feGaussianBlur stdDeviation="3" result="blur" /> <feComposite in="SourceGraphic" in2="blur" operator="over" /> </filter> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10" /> </pattern> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Title Section --> <text x="450" y="50" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="32" font-weight="bold" letter-spacing="1">ONE-SAMPLE HYPOTHESIS TESTING</text> <text x="450" y="75" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="14" font-weight="300" letter-spacing="2">THE STATISTICAL BACKBONE OF SCIENTIFIC INFERENCE</text> <line x1="350" y1="85" x2="550" y2="85" stroke="#38bdf8" stroke-width="2" opacity="0.5"/> <!-- Top Row: The Framework --> <!-- Card 1: Hypotheses --> <rect x="40" y="110" width="260" height="180" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="140" fill="#f59e0b" font-family="sans-serif" font-size="18" font-weight="bold">01. THE FRAMEWORK</text> <g transform="translate(60, 165)"> <rect width="220" height="45" rx="8" fill="#ffffff05"/> <text x="10" y="18" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="bold">H₀: Null Hypothesis</text> <text x="10" y="34" fill="#94a3b8" font-family="sans-serif" font-size="11">The status quo. Equality (=, ≤, ≥)</text> <circle cx="200" cy="22" r="6" fill="#f59e0b" opacity="0.8"/> </g> <g transform="translate(60, 220)"> <rect width="220" height="45" rx="8" fill="#ffffff05"/> <text x="10" y="18" fill="#38bdf8" font-family="sans-serif" font-size="13" font-weight="bold">Hₐ: Alternative Hypothesis</text> <text x="10" y="34" fill="#94a3b8" font-family="sans-serif" font-size="11">The research claim. Difference (≠, &lt;, &gt;)</text> <path d="M195 28 L200 18 L205 28 Z" fill="#38bdf8" opacity="0.8"/> </g> <!-- Card 2: Decision Calculus --> <rect x="320" y="110" width="260" height="180" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="340" y="140" fill="#e879f9" font-family="sans-serif" font-size="18" font-weight="bold">02. DECISION RULES</text> <path d="M360 230 Q450 160 540 230" stroke="#94a3b8" fill="none" stroke-width="2"/> <path d="M510 230 Q525 210 540 230 Z" fill="#e879f9" opacity="0.4"/> <text x="450" y="255" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="12">P-Value vs. Alpha (α)</text> <rect x="340" y="160" width="105" height="40" rx="6" fill="#fb718520" stroke="#fb718540"/> <text x="392" y="178" text-anchor="middle" fill="#fb7185" font-family="sans-serif" font-size="11" font-weight="bold">P ≤ α</text> <text x="392" y="192" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="10">Reject H₀</text> <rect x="455" y="160" width="105" height="40" rx="6" fill="#4ade8020" stroke="#4ade8040"/> <text x="507" y="178" text-anchor="middle" fill="#4ade80" font-family="sans-serif" font-size="11" font-weight="bold">P &gt; α</text> <text x="507" y="192" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="10">Fail to Reject</text> <!-- Card 3: Error Theory --> <rect x="600" y="110" width="260" height="180" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="620" y="140" fill="#2dd4bf" font-family="sans-serif" font-size="18" font-weight="bold">03. ERROR THEORY</text> <g transform="translate(620, 160)"> <!-- Matrix --> <rect x="0" y="0" width="220" height="100" rx="8" fill="#ffffff05"/> <line x1="110" y1="0" x2="110" y2="100" stroke="#ffffff10"/> <line x1="0" y1="50" x2="220" y2="50" stroke="#ffffff10"/> <text x="55" y="30" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="9">H₀ True</text> <text x="55" y="42" text-anchor="middle" fill="#fb7185" font-family="sans-serif" font-size="10" font-weight="bold">TYPE I ERROR</text> <text x="165" y="30" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="9">H₀ False</text> <text x="165" y="42" text-anchor="middle" fill="#4ade80" font-family="sans-serif" font-size="10" font-weight="bold">POWER (1-β)</text> <text x="55" y="80" text-anchor="middle" fill="#4ade80" font-family="sans-serif" font-size="10" font-weight="bold">CORRECT</text> <text x="165" y="80" text-anchor="middle" fill="#fb7185" font-family="sans-serif" font-size="10" font-weight="bold">TYPE II ERROR</text> </g> <!-- Bottom Section: Mechanics --> <rect x="40" y="310" width="820" height="210" rx="20" fill="#ffffff08" stroke="#ffffff15"/> <text x="70" y="345" fill="#38bdf8" font-family="sans-serif" font-size="20" font-weight="bold">MECHANICS: SELECTING THE TEST</text> <!-- Flowchart --> <g transform="translate(70, 370)"> <!-- Start --> <rect x="0" y="20" width="140" height="60" rx="10" fill="#ffffff10"/> <text x="70" y="45" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="12" font-weight="bold">Is σ known?</text> <text x="70" y="62" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10">(Pop. Std Dev)</text> <!-- Arrows --> <path d="M140 50 L200 50" stroke="#38bdf8" stroke-width="2" fill="none" marker-end="url(#arrow)"/> <text x="170" y="40" text-anchor="middle" fill="#4ade80" font-family="sans-serif" font-size="10">YES</text> <path d="M70 80 L70 110 L200 110" stroke="#f59e0b" stroke-width="2" fill="none"/> <text x="100" y="105" text-anchor="middle" fill="#f59e0b" font-family="sans-serif" font-size="10">NO</text> <!-- Z-Test --> <rect x="200" y="20" width="220" height="60" rx="10" fill="#38bdf820" stroke="#38bdf8"/> <text x="215" y="45" fill="#38bdf8" font-family="sans-serif" font-size="14" font-weight="bold">One-Sample Z-Test</text> <text x="215" y="65" fill="#f8fafc" font-family="monospace" font-size="12">z = (x̄ - μ₀) / (σ/√n)</text> <!-- T-Test --> <rect x="200" y="90" width="220" height="60" rx="10" fill="#f59e0b20" stroke="#f59e0b"/> <text x="215" y="115" fill="#f59e0b" font-family="sans-serif" font-size="14" font-weight="bold">One-Sample T-Test</text> <text x="215" y="135" fill="#f8fafc" font-family="monospace" font-size="12">t = (x̄ - μ₀) / (s/√n)</text> <!-- Requirements Info --> <g transform="translate(460, 20)"> <rect width="300" height="130" rx="12" fill="#ffffff05"/> <text x="15" y="25" fill="#94a3b8" font-family="sans-serif" font-size="12" font-weight="bold">REQUIREMENTS &amp; ASSUMPTIONS</text> <circle cx="25" cy="50" r="3" fill="#38bdf8"/> <text x="40" y="54" fill="#f8fafc" font-family="sans-serif" font-size="11">Random Sampling from the population</text> <circle cx="25" cy="75" r="3" fill="#38bdf8"/> <text x="40" y="79" fill="#f8fafc" font-family="sans-serif" font-size="11">Independence of observations</text> <circle cx="25" cy="100" r="3" fill="#38bdf8"/> <text x="40" y="104" fill="#f8fafc" font-family="sans-serif" font-size="11">Normality (n &gt; 30 or normal population)</text> </g> </g> <!-- Footer --> <text x="860" y="540" text-anchor="end" fill="#ffffff20" font-family="sans-serif" font-size="10">STATISTICS WIKI // MODULE 04</text> <!-- Decorative Marker --> <defs> <marker id="arrow" markerWidth="10" markerHeight="10" refX="9" refY="5" orientation="auto"> <path d="M0,0 L10,5 L0,10 Z" fill="#38bdf8" /> </marker> </defs> </svg>Hypothesis Testing with One Sample image 1Hypothesis Testing with One Sample - Introductory Statistics - image 1https://www.getlykke.com/explore/public/introductory-statistics-a4146afb-5db4-4b78-bb6a-8cef9d5ce9e0/media/hypothesis-testing-one-sample/svg/1Hypothesis Testing with One Sample diagram 1Hypothesis Testing with One Sample - Introductory Statistics - diagram 1https://www.getlykke.com/explore/public/introductory-statistics-a4146afb-5db4-4b78-bb6a-8cef9d5ce9e0/media/hypothesis-testing-one-sample/svg/2Hypothesis Testing with One Sample diagram 2Hypothesis Testing with One Sample - Introductory Statistics - diagram 2https://www.getlykke.com/explore/public/introductory-statistics-a4146afb-5db4-4b78-bb6a-8cef9d5ce9e0/media/hypothesis-testing-one-sample/svg/3Hypothesis Testing with One Sample diagram 3Hypothesis Testing with One Sample - Introductory Statistics - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg-grad" x1="0%" y1="0%" x2="0%" y2="100%"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="30" height="30" patternUnits="userSpaceOnUse"> <path d="M 30 0 L 0 0 0 30" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background Layer --> <rect width="900" height="560" fill="url(#bg-grad)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Decorative Elements --> <circle cx="850" cy="50" r="100" fill="#38bdf8" fill-opacity="0.05"/> <circle cx="50" cy="510" r="80" fill="#e879f9" fill-opacity="0.05"/> <path d="M 0 100 Q 450 150 900 100" fill="none" stroke="#ffffff05" stroke-width="2"/> <!-- Header Section --> <text x="450" y="55" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">HYPOTHESIS TESTING WITH TWO SAMPLES</text> <text x="450" y="82" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" font-style="italic">Determining statistical significance across comparative landscapes</text> <rect x="400" y="95" width="100" height="3" rx="1.5" fill="#f59e0b"/> <!-- Main Content Cards --> <!-- Card 1: Independent Samples --> <rect x="40" y="120" width="400" height="180" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="65" y="150" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">Independent T-Test</text> <text x="65" y="172" font-family="sans-serif" font-size="12" fill="#94a3b8">COMPARING UNRELATED GROUPS</text> <!-- Icon: Two Bell Curves --> <path d="M 70 260 Q 100 200 130 260" fill="none" stroke="#38bdf8" stroke-width="2" opacity="0.6"/> <path d="M 110 260 Q 140 200 170 260" fill="none" stroke="#f59e0b" stroke-width="2" opacity="0.6"/> <circle cx="100" cy="230" r="3" fill="#38bdf8"/> <circle cx="140" cy="230" r="3" fill="#f59e0b"/> <text x="190" y="210" font-family="sans-serif" font-size="13" fill="#f8fafc" width="200"> <tspan x="190" dy="0">• Subjects in Group A provide no</tspan> <tspan x="190" dy="18"> info about Group B.</tspan> <tspan x="190" dy="18">• Default: Welch's T-Test</tspan> <tspan x="190" dy="18">• Handles unequal variances.</tspan> </text> <!-- Card 2: Paired Samples --> <rect x="460" y="120" width="400" height="180" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="485" y="150" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">Paired / Matched T-Test</text> <text x="485" y="172" font-family="sans-serif" font-size="12" fill="#94a3b8">RELATED SUBJECTS / REPEATED MEASURES</text> <!-- Icon: Before/After --> <circle cx="510" cy="235" r="12" fill="none" stroke="#e879f9" stroke-width="2"/> <text x="510" y="239" text-anchor="middle" font-family="sans-serif" font-size="8" fill="#e879f9">T1</text> <path d="M 525 235 L 555 235" stroke="#94a3b8" stroke-dasharray="4" marker-end="url(#arrow)"/> <circle cx="570" cy="235" r="12" fill="none" stroke="#e879f9" stroke-width="2"/> <text x="570" y="239" text-anchor="middle" font-family="sans-serif" font-size="8" fill="#e879f9">T2</text> <text x="610" y="210" font-family="sans-serif" font-size="13" fill="#f8fafc"> <tspan x="610" dy="0">• Same subjects tested twice.</tspan> <tspan x="610" dy="18">• Focuses on the "Mean of</tspan> <tspan x="610" dy="18"> Differences" (μd).</tspan> <tspan x="610" dy="18">• Reduces stochastic noise.</tspan> </text> <!-- Card 3: The Welch Formula (Bottom Left) --> <rect x="40" y="320" width="400" height="200" rx="16" fill="#00000020" stroke="#38bdf840"/> <text x="65" y="350" font-family="sans-serif" font-weight="700" font-size="16" fill="#f8fafc">The Aspin-Welch Statistic</text> <!-- Formula Visual --> <g transform="translate(100, 380)"> <text x="70" y="20" text-anchor="middle" font-family="serif" font-size="22" fill="#f8fafc">t =</text> <text x="160" y="5" text-anchor="middle" font-family="serif" font-size="18" fill="#f8fafc">(x₁ - x₂) - (μ₁ - μ₂)</text> <line x1="100" y1="12" x2="220" y2="12" stroke="#f8fafc" stroke-width="1.5"/> <text x="160" y="35" text-anchor="middle" font-family="serif" font-size="20" fill="#f8fafc">√</text> <line x1="168" y1="22" x2="215" y2="22" stroke="#f8fafc" stroke-width="1"/> <text x="185" y="42" text-anchor="middle" font-family="serif" font-size="14" fill="#f8fafc">s₁²/n₁ + s₂²/n₂</text> </g> <text x="65" y="475" font-family="sans-serif" font-size="11" fill="#94a3b8" line-height="1.4"> <tspan x="65" dy="0">Degrees of Freedom (df) are adjusted via the</tspan> <tspan x="65" dy="15">Welch-Satterthwaite equation to account for</tspan> <tspan x="65" dy="15">heteroscedasticity (unequal variances).</tspan> </text> <!-- Card 4: Decision Taxonomy (Bottom Right) --> <rect x="460" y="320" width="400" height="200" rx="16" fill="#ffffff05" stroke="#ffffff10"/> <text x="485" y="350" font-family="sans-serif" font-weight="700" font-size="16" fill="#f59e0b">Test Selection Logic</text> <!-- Mini Decision Tree --> <g transform="translate(485, 375)"> <rect x="0" y="0" width="80" height="25" rx="4" fill="#38bdf820" stroke="#38bdf8"/> <text x="40" y="17" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#f8fafc">Data Type?</text> <line x1="40" y1="25" x2="40" y2="45" stroke="#94a3b8"/> <text x="100" y="55" font-family="sans-serif" font-size="10" fill="#94a3b8">Continuous (Means)</text> <text x="-30" y="55" font-family="sans-serif" font-size="10" fill="#94a3b8">Categorical (%)</text> <path d="M 40 45 L 10 70 M 40 45 L 70 70" fill="none" stroke="#94a3b8"/> <rect x="-30" y="70" width="80" height="25" rx="4" fill="#ffffff10" stroke="#ffffff30"/> <text x="10" y="87" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#f8fafc">2-Prop Z-Test</text> <rect x="70" y="70" width="80" height="25" rx="4" fill="#ffffff10" stroke="#ffffff30"/> <text x="110" y="87" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#f8fafc">T-Test</text> <line x1="110" y1="95" x2="110" y2="110" stroke="#94a3b8"/> <text x="115" y="125" font-family="sans-serif" font-size="10" fill="#94a3b8">Independent?</text> <path d="M 110 110 L 80 135 M 110 110 L 140 135" fill="none" stroke="#94a3b8"/> <text x="70" y="150" font-family="sans-serif" font-size="9" fill="#38bdf8">YES: Welch</text> <text x="135" y="150" font-family="sans-serif" font-size="9" fill="#e879f9">NO: Paired</text> </g> <!-- Footer / Status Bar --> <rect x="0" y="535" width="900" height="25" fill="#00000040"/> <text x="20" y="552" font-family="sans-serif" font-size="10" fill="#64748b" font-weight="bold">STATISTICAL INFERENCE SERIES</text> <text x="880" y="552" text-anchor="end" font-family="sans-serif" font-size="10" fill="#64748b">MODULE 04: COMPARATIVE ANALYSIS</text> <!-- Accent dots --> <circle cx="40" cy="40" r="4" fill="#f59e0b" filter="glow"/> <circle cx="60" cy="40" r="4" fill="#38bdf8" filter="glow"/> <circle cx="80" cy="40" r="4" fill="#e879f9" filter="glow"/> </svg>Hypothesis Testing with Two Samples image 1Hypothesis Testing with Two Samples - Introductory Statistics - image 1https://www.getlykke.com/explore/public/introductory-statistics-a4146afb-5db4-4b78-bb6a-8cef9d5ce9e0/media/hypothesis-testing-two-samples/svg/1Hypothesis Testing with Two Samples diagram 1Hypothesis Testing with Two Samples - Introductory Statistics - diagram 1https://www.getlykke.com/explore/public/introductory-statistics-a4146afb-5db4-4b78-bb6a-8cef9d5ce9e0/media/hypothesis-testing-two-samples/svg/2Hypothesis Testing with Two Samples diagram 2Hypothesis Testing with Two Samples - Introductory Statistics - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <!-- Background and Definitions --> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Base Layers --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="450" y="60" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">THE CHI-SQUARE DISTRIBUTION</text> <text x="450" y="85" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" font-style="italic">The Backbone of Categorical Analysis &amp; Variance Testing</text> <line x1="350" y1="105" x2="550" y2="105" stroke="#38bdf8" stroke-width="2" stroke-linecap="round" opacity="0.6"/> <!-- Panel 1: The Foundation --> <rect x="40" y="130" width="260" height="380" rx="16" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <circle cx="70" cy="160" r="12" fill="#38bdf8"/> <text x="90" y="165" font-family="sans-serif" font-weight="700" font-size="18" fill="#f8fafc">FOUNDATIONS</text> <!-- Foundation Visual: Z to Chi-Sq --> <g transform="translate(60, 200)"> <rect width="220" height="80" rx="8" fill="#ffffff05" stroke="#ffffff10"/> <text x="110" y="30" text-anchor="middle" font-family="serif" font-size="16" fill="#f59e0b" font-style="italic">Z ~ N(0, 1)</text> <path d="M 110 40 L 110 55" stroke="#94a3b8" stroke-width="2" marker-end="url(#arrow)"/> <text x="110" y="70" text-anchor="middle" font-family="serif" font-size="18" font-weight="bold" fill="#f8fafc">X = Σ Z²</text> </g> <text x="60" y="310" font-family="sans-serif" font-size="13" fill="#cbd5e1"> <tspan x="60" dy="1.4em">The distribution is formed by</tspan> <tspan x="60" dy="1.4em">summing the squares of</tspan> <tspan x="60" dy="1.4em" fill="#38bdf8" font-weight="bold">k independent standard</tspan> <tspan x="60" dy="1.4em" fill="#38bdf8" font-weight="bold">normal variables.</tspan> </text> <rect x="60" y="410" width="220" height="70" rx="8" fill="#38bdf815" stroke="#38bdf830"/> <text x="75" y="435" font-family="sans-serif" font-size="12" font-weight="bold" fill="#38bdf8">PARAMETER:</text> <text x="75" y="455" font-family="sans-serif" font-size="16" font-weight="bold" fill="#f8fafc">Degrees of Freedom (k)</text> <!-- Panel 2: The Curves (Evolution) --> <rect x="320" y="130" width="260" height="380" rx="16" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <circle cx="350" cy="160" r="12" fill="#e879f9"/> <text x="370" y="165" font-family="sans-serif" font-weight="700" font-size="18" fill="#f8fafc">THE EVOLUTION</text> <!-- Mini Graph --> <g transform="translate(340, 200)"> <!-- Axes --> <path d="M 0 120 L 220 120 M 0 120 L 0 0" stroke="#94a3b8" stroke-width="1.5" stroke-linecap="round"/> <!-- df=2 (Exponential) --> <path d="M 2 5 C 10 60, 40 110, 200 118" fill="none" stroke="#f59e0b" stroke-width="2" stroke-dasharray="2 1"/> <text x="15" y="40" font-family="sans-serif" font-size="10" fill="#f59e0b">df=2</text> <!-- df=4 (Skewed) --> <path d="M 2 118 C 20 20, 80 40, 200 115" fill="none" stroke="#e879f9" stroke-width="2.5"/> <text x="60" y="50" font-family="sans-serif" font-size="10" fill="#e879f9">df=4</text> <!-- df=10 (Approaching Normal) --> <path d="M 2 119 C 100 119, 120 60, 150 60 C 180 60, 200 119, 215 119" fill="none" stroke="#38bdf8" stroke-width="2"/> <text x="160" y="55" font-family="sans-serif" font-size="10" fill="#38bdf8">df=10</text> </g> <text x="340" y="350" font-family="sans-serif" font-size="13" fill="#cbd5e1"> <tspan x="340" dy="1.4em">As </tspan> <tspan fill="#e879f9" font-weight="bold">df</tspan> <tspan> increases, the curve shifts</tspan> <tspan x="340" dy="1.4em">right and becomes more</tspan> <tspan x="340" dy="1.4em">symmetrical, eventually</tspan> <tspan x="340" dy="1.4em">mimicking a </tspan> <tspan fill="#38bdf8" font-weight="bold">Normal Curve.</tspan> </text> <!-- Panel 3: Applications --> <rect x="600" y="130" width="260" height="380" rx="16" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <circle cx="630" cy="160" r="12" fill="#f59e0b"/> <text x="650" y="165" font-family="sans-serif" font-weight="700" font-size="18" fill="#f8fafc">APPLICATIONS</text> <!-- Application 1: Goodness of Fit --> <g transform="translate(620, 190)"> <rect width="220" height="60" rx="8" fill="#f59e0b10" stroke="#f59e0b30"/> <text x="10" y="20" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f59e0b">GOODNESS OF FIT</text> <text x="10" y="40" font-family="sans-serif" font-size="11" fill="#94a3b8">Does data match a model?</text> <!-- Mini Bar Chart Icon --> <rect x="160" y="15" width="8" height="30" fill="#f59e0b" opacity="0.8"/> <rect x="172" y="25" width="8" height="20" fill="#f59e0b" opacity="0.4"/> <rect x="184" y="10" width="8" height="35" fill="#f59e0b" opacity="0.8"/> </g> <!-- Application 2: Independence --> <g transform="translate(620, 265)"> <rect width="220" height="60" rx="8" fill="#38bdf810" stroke="#38bdf830"/> <text x="10" y="20" font-family="sans-serif" font-size="12" font-weight="bold" fill="#38bdf8">INDEPENDENCE TEST</text> <text x="10" y="40" font-family="sans-serif" font-size="11" fill="#94a3b8">Are two variables related?</text> <!-- Table Icon --> <rect x="160" y="15" width="30" height="30" rx="2" fill="none" stroke="#38bdf8" stroke-width="1"/> <line x1="160" y1="25" x2="190" y2="25" stroke="#38bdf8" stroke-width="1"/> <line x1="175" y1="15" x2="175" y2="45" stroke="#38bdf8" stroke-width="1"/> </g> <!-- Formula Section --> <rect x="620" y="345" width="220" height="135" rx="8" fill="#00000020" stroke="#ffffff10"/> <text x="730" y="370" text-anchor="middle" font-family="sans-serif" font-size="12" font-weight="bold" fill="#94a3b8">CORE STATISTIC</text> <text x="730" y="415" text-anchor="middle" font-family="serif" font-size="24" font-weight="bold" fill="#f8fafc" filter="url(#glow)"> χ² = Σ <tspan font-size="16" dy="-10">(O - E)²</tspan><tspan font-size="24" dx="-45" dy="10">———</tspan><tspan font-size="16" dx="-40" dy="12">E</tspan> </text> <text x="730" y="460" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">O = Observed | E = Expected</text> <!-- Footer Properties --> <g transform="translate(40, 525)"> <text x="0" y="0" font-family="sans-serif" font-size="11" font-weight="bold" fill="#38bdf8">SUPPORT: <tspan fill="#f8fafc" font-weight="normal">[0, ∞)</tspan></text> <text x="150" y="0" font-family="sans-serif" font-size="11" font-weight="bold" fill="#e879f9">MEAN: <tspan fill="#f8fafc" font-weight="normal">k</tspan></text> <text x="280" y="0" font-family="sans-serif" font-size="11" font-weight="bold" fill="#f59e0b">VARIANCE: <tspan fill="#f8fafc" font-weight="normal">2k</tspan></text> <text x="450" y="0" font-family="sans-serif" font-size="11" font-weight="bold" fill="#94a3b8">SKEWNESS: <tspan fill="#f8fafc" font-weight="normal">√(8/k)</tspan></text> </g> <!-- Decorative Elements --> <circle cx="850" cy="50" r="30" fill="#e879f9" opacity="0.05"/> <circle cx="50" cy="510" r="40" fill="#38bdf8" opacity="0.05"/> </svg>The Chi-Square Distribution image 1The Chi-Square Distribution - Introductory Statistics - image 1https://www.getlykke.com/explore/public/introductory-statistics-a4146afb-5db4-4b78-bb6a-8cef9d5ce9e0/media/the-chi-square-distribution/svg/1The Chi-Square Distribution diagram 1The Chi-Square Distribution - Introductory Statistics - diagram 1<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10" /> </pattern> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Header --> <text x="40" y="60" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">LINEAR REGRESSION &amp; CORRELATION</text> <text x="40" y="85" font-family="sans-serif" font-size="16" fill="#94a3b8" letter-spacing="1">STATISTICAL MODELING &amp; PREDICTIVE ANALYTICS</text> <rect x="40" y="100" width="120" height="4" fill="url(#accentGrad)" rx="2"/> <!-- Main Visualization Card --> <rect x="40" y="130" width="520" height="320" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <!-- Grid Lines for Plot --> <g stroke="#94a3b830" stroke-width="1" stroke-dasharray="4 4"> <line x1="80" y1="170" x2="520" y2="170"/> <line x1="80" y1="230" x2="520" y2="230"/> <line x1="80" y1="290" x2="520" y2="290"/> <line x1="80" y1="350" x2="520" y2="350"/> <line x1="80" y1="410" x2="520" y2="410"/> </g> <!-- Axes --> <line x1="80" y1="160" x2="80" y2="410" stroke="#94a3b8" stroke-width="2"/> <line x1="80" y1="410" x2="530" y2="410" stroke="#94a3b8" stroke-width="2"/> <text x="535" y="425" font-family="sans-serif" font-size="12" fill="#94a3b8" font-weight="bold">X (Predictor)</text> <text x="60" y="150" font-family="sans-serif" font-size="12" fill="#94a3b8" font-weight="bold">Y (Outcome)</text> <!-- Residuals (Vertical Lines) --> <g stroke="#f59e0b" stroke-width="1.5" stroke-dasharray="2 2" opacity="0.6"> <line x1="120" y1="380" x2="120" y2="385"/> <line x1="180" y1="330" x2="180" y2="345"/> <line x1="240" y1="350" x2="240" y2="305"/> <line x1="300" y1="250" x2="300" y2="265"/> <line x1="360" y1="210" x2="360" y2="225"/> <line x1="420" y1="230" x2="420" y2="185"/> <line x1="480" y1="140" x2="480" y2="145"/> </g> <!-- Data Points --> <g fill="#38bdf8"> <circle cx="120" cy="380" r="5" filter="glow"/> <circle cx="180" cy="330" r="5" filter="glow"/> <circle cx="240" cy="350" r="5" filter="glow"/> <circle cx="300" cy="250" r="5" filter="glow"/> <circle cx="360" cy="210" r="5" filter="glow"/> <circle cx="420" cy="230" r="5" filter="glow"/> <circle cx="480" cy="140" r="5" filter="glow"/> </g> <!-- Regression Line --> <line x1="80" y1="412" x2="520" y2="118" stroke="#e879f9" stroke-width="4" filter="glow"/> <!-- Callout: Residuals --> <path d="M 420 205 L 450 180" stroke="#f59e0b" fill="none" stroke-width="1"/> <text x="455" y="175" font-family="sans-serif" font-size="11" fill="#f59e0b" font-weight="bold">Residual (Error)</text> <text x="455" y="188" font-family="sans-serif" font-size="10" fill="#94a3b8">y - ŷ</text> <!-- Right Panel: Correlation Coefficient --> <rect x="580" y="130" width="280" height="150" rx="16" fill="#ffffff10" stroke="#ffffff15"/> <circle cx="615" cy="165" r="15" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <text x="610" y="170" font-family="sans-serif" font-size="14" fill="#38bdf8" font-weight="bold">r</text> <text x="645" y="160" font-family="sans-serif" font-size="16" fill="#f8fafc" font-weight="bold">Correlation Coefficient</text> <text x="645" y="178" font-family="sans-serif" font-size="12" fill="#94a3b8">Measures Strength &amp; Direction</text> <rect x="600" y="205" width="240" height="8" rx="4" fill="#0f172a"/> <rect x="720" y="205" width="80" height="8" rx="4" fill="url(#accentGrad)"/> <text x="600" y="235" font-family="sans-serif" font-size="11" fill="#94a3b8">-1.0</text> <text x="715" y="235" font-family="sans-serif" font-size="11" fill="#f8fafc">0</text> <text x="820" y="235" font-family="sans-serif" font-size="11" fill="#94a3b8">+1.0</text> <text x="600" y="260" font-family="sans-serif" font-size="12" fill="#e879f9" font-style="italic">"How tight is the cloud?"</text> <!-- Right Panel: Regression Equation --> <rect x="580" y="300" width="280" height="150" rx="16" fill="#ffffff10" stroke="#ffffff15"/> <path d="M 605 345 L 625 325 M 605 325 L 625 345" stroke="#e879f9" stroke-width="3" opacity="0.8"/> <text x="645" y="330" font-family="sans-serif" font-size="16" fill="#f8fafc" font-weight="bold">Least-Squares Line</text> <text x="645" y="348" font-family="sans-serif" font-size="12" fill="#94a3b8">The Predictive Model</text> <text x="605" y="395" font-family="serif" font-size="28" fill="#f8fafc">ŷ = a + bx</text> <text x="605" y="425" font-family="sans-serif" font-size="11" fill="#94a3b8">a = Intercept | b = Slope</text> <!-- Bottom: Coefficient of Determination --> <rect x="40" y="470" width="820" height="60" rx="16" fill="#ffffff05" stroke="#ffffff10"/> <text x="70" y="505" font-family="sans-serif" font-size="18" fill="#f59e0b" font-weight="bold">r²</text> <text x="100" y="505" font-family="sans-serif" font-size="16" fill="#f8fafc" font-weight="bold">Coefficient of Determination:</text> <text x="340" y="505" font-family="sans-serif" font-size="14" fill="#94a3b8">The proportion of variance in Y explained by the linear relationship with X.</text> <!-- Decorative Math Symbols --> <text x="800" y="80" font-family="serif" font-size="40" fill="#ffffff05" transform="rotate(15)">Σ</text> <text x="840" y="500" font-family="serif" font-size="30" fill="#ffffff05" transform="rotate(-10)">μ</text> <text x="50" y="530" font-family="serif" font-size="24" fill="#ffffff05">σ</text> </svg>Linear Regression and Correlation image 1Linear Regression and Correlation - Introductory Statistics - image 1https://www.getlykke.com/explore/public/introductory-statistics-a4146afb-5db4-4b78-bb6a-8cef9d5ce9e0/media/linear-regression-and-correlation/svg/1Linear Regression and Correlation diagram 1Linear Regression and Correlation - Introductory Statistics - diagram 1https://www.getlykke.com/explore/public/introductory-statistics-a4146afb-5db4-4b78-bb6a-8cef9d5ce9e0/media/linear-regression-and-correlation/svg/2Linear Regression and Correlation diagram 2Linear Regression and Correlation - Introductory Statistics - diagram 2https://www.getlykke.com/explore/public/calculus-i-single-variable-calculus-9ac12726-58e8-4d0b-8a4f-75a32b2484bc2026-04-20T04:39:49.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow" x="-20%" y="-20%" width="140%" height="140%"> <feGaussianBlur stdDeviation="4" result="blur" /> <feComposite in="SourceGraphic" in2="blur" operator="over" /> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">18.01 COURSE PHILOSOPHY</text> <text x="450" y="75" text-anchor="middle" font-family="sans-serif" font-weight="400" font-size="16" fill="#94a3b8">Bridging the Symbolic Gap through the Translation Layer</text> <!-- Main Pipeline Container --> <rect x="40" y="110" width="820" height="240" rx="20" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <!-- Step 1: Phenomenon --> <g transform="translate(140, 210)"> <circle r="50" fill="#38bdf820" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 2"/> <!-- Icon: Falling Object --> <circle cx="0" cy="-20" r="8" fill="#38bdf8"/> <path d="M 0 -10 L 0 20 M -5 10 L 0 20 L 5 10" stroke="#38bdf8" stroke-width="2" fill="none"/> <text y="75" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">1. PHENOMENON</text> <text y="95" text-anchor="middle" font-family="sans-serif" font-size="12" fill="#94a3b8">Physical Observation</text> <text y="110" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#64748b">(e.g., A balloon inflating)</text> </g> <!-- Connector 1 --> <path d="M 220 210 L 320 210" stroke="#475569" stroke-width="2" stroke-dasharray="8 4" marker-end="url(#arrow)"/> <polygon points="325,210 315,205 315,215" fill="#475569"/> <!-- Step 2: Intuition --> <g transform="translate(450, 210)"> <circle r="60" fill="#f59e0b20" stroke="#f59e0b" stroke-width="2" filter="url(#glow)"/> <!-- Icon: Brain/Lightbulb --> <path d="M -15 -10 Q 0 -35 15 -10 Q 15 10 0 20 Q -15 10 -15 -10" fill="none" stroke="#f59e0b" stroke-width="3"/> <line x1="0" y1="20" x2="0" y2="28" stroke="#f59e0b" stroke-width="3"/> <text y="85" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">2. INTUITION</text> <text y="105" text-anchor="middle" font-family="sans-serif" font-size="12" fill="#94a3b8">Qualitative Description</text> <text y="120" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#64748b">"The bigger it gets, the slower it grows"</text> </g> <!-- Connector 2 --> <path d="M 580 210 L 680 210" stroke="#475569" stroke-width="2" stroke-dasharray="8 4"/> <polygon points="685,210 675,205 675,215" fill="#475569"/> <!-- Step 3: Formalization --> <g transform="translate(760, 210)"> <circle r="50" fill="#e879f920" stroke="#e879f9" stroke-width="2" stroke-dasharray="4 2"/> <!-- Icon: Math Symbols --> <text x="0" y="10" text-anchor="middle" font-family="serif" font-style="italic" font-size="28" fill="#e879f9">dy/dx</text> <text y="75" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">3. FORMALISM</text> <text y="95" text-anchor="middle" font-family="sans-serif" font-size="12" fill="#94a3b8">Symbolic Representation</text> <text y="110" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#64748b">dV/dt = 4πr² (dr/dt)</text> </g> <!-- Bottom Section: Tools --> <text x="50" y="390" font-family="sans-serif" font-weight="700" font-size="16" fill="#f8fafc">THE INTUITIVE TOOLKIT</text> <!-- Tool 1: Sketching --> <rect x="50" y="410" width="250" height="110" rx="12" fill="#ffffff10" stroke="#ffffff15"/> <path d="M 70 470 Q 100 430 130 480 T 190 440" fill="none" stroke="#38bdf8" stroke-width="2"/> <text x="200" y="440" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">Visual Sketching</text> <text x="200" y="460" font-family="sans-serif" font-size="11" fill="#94a3b8">Identifying roots,</text> <text x="200" y="475" font-family="sans-serif" font-size="11" fill="#94a3b8">asymptotes, and</text> <text x="200" y="490" font-family="sans-serif" font-size="11" fill="#94a3b8">concavity manually.</text> <!-- Tool 2: Props --> <rect x="325" y="410" width="250" height="110" rx="12" fill="#ffffff10" stroke="#ffffff15"/> <circle cx="365" cy="465" r="25" fill="#f59e0b40" stroke="#f59e0b" stroke-width="2"/> <path d="M 365 440 L 365 430" stroke="#f59e0b" stroke-width="2"/> <text x="405" y="440" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">Physical Props</text> <text x="405" y="460" font-family="sans-serif" font-size="11" fill="#94a3b8">Balloons for rates,</text> <text x="405" y="475" font-family="sans-serif" font-size="11" fill="#94a3b8">cakes for volumes,</text> <text x="405" y="490" font-family="sans-serif" font-size="11" fill="#94a3b8">onions for shells.</text> <!-- Tool 3: Digital --> <rect x="600" y="410" width="250" height="110" rx="12" fill="#ffffff10" stroke="#ffffff15"/> <rect x="620" y="445" width="40" height="30" rx="4" fill="none" stroke="#e879f9" stroke-width="2"/> <path d="M 625 465 L 655 465" stroke="#e879f9" stroke-width="1"/> <circle cx="645" cy="465" r="3" fill="#e879f9"/> <text x="675" y="440" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">Digital Applets</text> <text x="675" y="460" font-family="sans-serif" font-size="11" fill="#94a3b8">Interactive Riemann</text> <text x="675" y="475" font-family="sans-serif" font-size="11" fill="#94a3b8">sums and parameter</text> <text x="675" y="490" font-family="sans-serif" font-size="11" fill="#94a3b8">sweeping simulations.</text> <!-- Footer Quote --> <text x="450" y="545" text-anchor="middle" font-family="serif" font-style="italic" font-size="12" fill="#64748b">"A mathematical symbol is only as useful as the physical intuition it represents."</text> </svg>Course Philosophy and Pedagogy image 1Course Philosophy and Pedagogy - Calculus I: Single Variable Calculus - image 1https://www.getlykke.com/explore/public/calculus-i-single-variable-calculus-9ac12726-58e8-4d0b-8a4f-75a32b2484bc/media/course-philosophy-and-pedagogy/svg/1Course Philosophy and Pedagogy diagram 1Course Philosophy and Pedagogy - Calculus I: Single Variable Calculus - diagram 1https://www.getlykke.com/explore/public/calculus-i-single-variable-calculus-9ac12726-58e8-4d0b-8a4f-75a32b2484bc/media/course-philosophy-and-pedagogy/svg/2Course Philosophy and Pedagogy diagram 2Course Philosophy and Pedagogy - Calculus I: Single Variable Calculus - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <!-- Background and Definitions --> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <filter id="glow"> 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height="4" fill="url(#accentGrad)" rx="2"/> <text x="40" y="100" font-family="sans-serif" font-size="14" fill="#94a3b8" font-weight="400">THE MATHEMATICAL FRAMEWORK OF DYNAMIC CHANGE</text> <!-- Central Concept: The Limit Definition --> <rect x="40" y="130" width="820" height="100" rx="16" fill="#ffffff0a" stroke="#ffffff15" stroke-width="1"/> <text x="65" y="160" font-family="sans-serif" font-size="12" font-weight="bold" fill="#38bdf8" text-transform="uppercase">The Fundamental Definition</text> <text x="450" y="195" font-family="serif" font-size="34" fill="#f8fafc" text-anchor="middle" filter="url(#glow)"> f'(x) = <tspan font-size="20" dy="-8">lim</tspan><tspan font-size="12" dx="-25" dy="15">h→0</tspan> <tspan dx="10" dy="-7" font-size="34"> [ f(x + h) - f(x) ] / h </tspan> </text> <path d="M 330 205 H 570" stroke="#f8fafc" stroke-width="1" opacity="0.3"/> <!-- Left Panel: Geometric Interpretation --> <rect x="40" y="250" width="395" height="280" rx="16" fill="#ffffff08" stroke="#ffffff10" stroke-width="1"/> <text x="65" y="280" font-family="sans-serif" font-size="16" font-weight="bold" fill="#f59e0b">GEOMETRIC INTERPRETATION</text> <!-- Graph Illustration --> <g transform="translate(80, 480)"> <!-- Axes --> <path d="M 0 -160 V 0 H 280" stroke="#94a3b8" stroke-width="2" fill="none" stroke-linecap="round"/> <!-- Curve --> <path d="M 20 -20 Q 100 -180 260 -140" stroke="#f8fafc" stroke-width="3" fill="none"/> <!-- Secant Line --> <line x1="60" y1="-75" x2="220" y2="-150" stroke="#94a3b8" stroke-width="1.5" stroke-dasharray="4,4"/> <circle cx="60" cy="-75" r="4" fill="#94a3b8"/> <circle cx="220" cy="-150" r="4" fill="#94a3b8"/> <!-- Tangent Line --> <line x1="20" y1="-105" x2="180" y2="-185" stroke="#f59e0b" stroke-width="3" filter="url(#glow)"/> <circle cx="100" cy="-145" r="5" fill="#f59e0b"/> <text x="110" y="-160" font-family="sans-serif" font-size="11" fill="#f59e0b" font-weight="bold">Tangent (Instantaneous)</text> <text x="150" y="-70" font-family="sans-serif" font-size="11" fill="#94a3b8">Secant (Average)</text> </g> <!-- Right Panel: Physical Meaning --> <rect x="465" y="250" width="395" height="150" rx="16" fill="#ffffff08" stroke="#ffffff10" stroke-width="1"/> <text x="490" y="280" font-family="sans-serif" font-size="16" font-weight="bold" fill="#e879f9">PHYSICAL KINEMATICS</text> <g transform="translate(490, 310)"> <!-- Position --> <circle cx="20" cy="10" r="15" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <text x="50" y="10" font-family="sans-serif" font-size="14" fill="#f8fafc" font-weight="bold">s(t)</text> <text x="90" y="10" font-family="sans-serif" font-size="12" fill="#94a3b8">Position</text> <!-- Arrow --> <path d="M 20 25 V 45" stroke="#94a3b8" stroke-width="1" marker-end="url(#arrowhead)"/> <!-- Velocity --> <circle cx="20" cy="65" r="15" fill="#f59e0b20" stroke="#f59e0b" stroke-width="2"/> <text x="50" y="65" font-family="sans-serif" font-size="14" fill="#f8fafc" font-weight="bold">v(t) = s'(t)</text> <text x="140" y="65" font-family="sans-serif" font-size="12" fill="#94a3b8">Velocity (Rate of Change)</text> <!-- Arrow --> <path d="M 20 80 V 100" stroke="#94a3b8" stroke-width="1"/> <!-- Acceleration --> <circle cx="20" cy="120" r="15" fill="#e879f920" stroke="#e879f9" stroke-width="2"/> <text x="50" y="120" font-family="sans-serif" font-size="14" fill="#f8fafc" font-weight="bold">a(t) = v'(t)</text> <text x="140" y="120" font-family="sans-serif" font-size="12" fill="#94a3b8">Acceleration</text> </g> <!-- Bottom Right: Notation Systems --> <rect x="465" y="420" width="395" height="110" rx="16" fill="#ffffff08" stroke="#ffffff10" stroke-width="1"/> <text x="490" y="445" font-family="sans-serif" font-size="14" font-weight="bold" fill="#38bdf8">NOTATION SYSTEMS</text> <g transform="translate(490, 470)"> <g> <text x="0" y="0" font-family="serif" font-size="18" fill="#f8fafc">dy/dx</text> <text x="0" y="20" font-family="sans-serif" font-size="10" fill="#94a3b8">Leibniz</text> </g> <g transform="translate(100, 0)"> <text x="0" y="0" font-family="serif" font-size="18" fill="#f8fafc">f'(x)</text> <text x="0" y="20" font-family="sans-serif" font-size="10" fill="#94a3b8">Lagrange</text> </g> <g transform="translate(200, 0)"> <text x="0" y="0" font-family="serif" font-size="18" fill="#f8fafc">ẏ</text> <text x="0" y="20" font-family="sans-serif" font-size="10" fill="#94a3b8">Newton</text> </g> <g transform="translate(300, 0)"> <text x="0" y="0" font-family="serif" font-size="18" fill="#f8fafc">Dₓf</text> <text x="0" y="20" font-family="sans-serif" font-size="10" fill="#94a3b8">Euler</text> </g> </g> <!-- Decorative Elements --> <circle cx="850" cy="50" r="30" fill="none" stroke="#ffffff10" stroke-width="2"/> <circle cx="850" cy="50" r="15" fill="#38bdf820"/> <path d="M 835 50 H 865 M 850 35 V 65" stroke="#38bdf8" stroke-width="1"/> <!-- Footer Label --> <text x="860" y="545" font-family="sans-serif" font-size="10" fill="#475569" text-anchor="end">CALCULUS SERIES: VOL 01 / DIFFERENTIATION</text> </svg>Part 1: Differentiation image 1Part 1: Differentiation - Calculus I: Single Variable Calculus - image 1https://www.getlykke.com/explore/public/calculus-i-single-variable-calculus-9ac12726-58e8-4d0b-8a4f-75a32b2484bc/media/part-1-differentiation/svg/1Part 1: Differentiation diagram 1Part 1: Differentiation - Calculus I: Single Variable Calculus - diagram 1https://www.getlykke.com/explore/public/calculus-i-single-variable-calculus-9ac12726-58e8-4d0b-8a4f-75a32b2484bc/media/part-1-differentiation/svg/2Part 1: Differentiation diagram 2Part 1: Differentiation - Calculus I: Single Variable Calculus - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" 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y="120" width="250" height="340" rx="16" fill="#ffffff0a" stroke="#ffffff10"/> <text x="155" y="150" text-anchor="middle" font-family="sans-serif" font-size="18" font-weight="bold" fill="#f59e0b">THE RIEMANN SUM</text> <!-- Riemann Visual --> <path d="M 60 260 Q 100 180 150 220 T 250 180" fill="none" stroke="#94a3b8" stroke-width="2" stroke-dasharray="4 2"/> <g fill="#38bdf844" stroke="#38bdf8"> <rect x="60" y="242" width="30" height="18"/> <rect x="90" y="208" width="30" height="52"/> <rect x="120" y="202" width="30" height="58"/> <rect x="150" y="218" width="30" height="42"/> <rect x="180" y="210" width="30" height="50"/> <rect x="210" y="190" width="30" height="70"/> </g> <text x="155" y="300" text-anchor="middle" font-family="sans-serif" font-size="13" fill="#f8fafc">Limit of Finite Sums</text> <text x="155" y="325" text-anchor="middle" font-family="sans-serif" font-size="20" font-weight="bold" fill="#f8fafc">∫ f(x) dx</text> <text x="50" y="360" font-family="sans-serif" font-size="12" fill="#94a3b8"> <tspan x="55" dy="1.4em">• dx: Infinitesimal width</tspan> <tspan x="55" dy="1.4em">• f(x): Variable height</tspan> <tspan x="55" dy="1.4em">• ∫: Elongated "S" (Summa)</tspan> </text> <!-- Panel 2: The Mechanism (Accumulation) --> <rect x="310" y="120" width="280" height="340" rx="16" fill="#ffffff0a" stroke="#ffffff10"/> <text x="450" y="150" text-anchor="middle" font-family="sans-serif" font-size="18" font-weight="bold" fill="#e879f9">ACCUMULATION</text> <!-- Accumulation Visual (Water Tank Analogy) --> <rect x="400" y="180" width="100" height="80" rx="4" fill="none" stroke="#94a3b8" stroke-width="2"/> <path d="M 400 220 L 500 220 L 500 260 L 400 260 Z" fill="#38bdf866"/> <path d="M 450 165 L 450 185" stroke="#38bdf8" stroke-width="3" marker-end="url(#arrow)"/> <circle cx="450" cy="180" r="3" fill="#38bdf8"/> <text x="450" y="285" text-anchor="middle" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">F(x) = ∫[a to x] f(t) dt</text> <text x="330" y="320" font-family="sans-serif" font-size="12" fill="#94a3b8"> <tspan x="335" dy="1.4em">The "Area So Far" function.</tspan> <tspan x="335" dy="1.4em">If f(t) is flow rate (L/s),</tspan> <tspan x="335" dy="1.4em">F(x) is total volume (L).</tspan> <tspan x="335" dy="2.4em" fill="#e879f9" font-weight="bold">DUMMY VARIABLE (t):</tspan> <tspan x="335" dy="1.4em">Placeholder that sweeps</tspan> <tspan x="335" dy="1.4em">across the interval [a, x].</tspan> </text> <!-- Panel 3: The Precision (Comparison) --> <rect x="620" y="120" width="250" height="340" rx="16" fill="#ffffff0a" stroke="#ffffff10"/> <text x="745" y="150" text-anchor="middle" font-family="sans-serif" font-size="18" font-weight="bold" fill="#38bdf8">PRECISION HIERARCHY</text> <!-- Comparison List --> <g font-family="sans-serif" font-size="12"> <!-- Left/Right --> <rect x="635" y="175" width="220" height="45" rx="8" fill="#ffffff05"/> <text x="645" y="192" fill="#f8fafc" font-weight="bold">Left/Right Sums</text> <text x="645" y="210" fill="#94a3b8">Error: O(Δx) — Basic</text> <circle cx="840" cy="195" r="5" fill="#ef4444"/> <!-- Midpoint/Trap --> <rect x="635" y="230" width="220" height="45" rx="8" fill="#ffffff05"/> <text x="645" y="247" fill="#f8fafc" font-weight="bold">Midpoint / Trapezoid</text> <text x="645" y="265" fill="#94a3b8">Error: O(Δx²) — Reliable</text> <circle cx="840" cy="250" r="5" fill="#f59e0b"/> <!-- Simpson --> <rect x="635" y="285" width="220" height="45" rx="8" fill="#ffffff05"/> <text x="645" y="302" fill="#f8fafc" font-weight="bold">Simpson's Rule</text> <text x="645" y="320" fill="#94a3b8">Error: O(Δx⁴) — Scientific</text> <circle cx="840" cy="305" r="5" fill="#22c55e"/> </g> <text x="745" y="365" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#94a3b8" font-style="italic"> <tspan x="745" dy="1.2em">Higher order methods use</tspan> <tspan x="745" dy="1.2em">polynomials to fit the curve</tspan> <tspan x="745" dy="1.2em">more accurately.</tspan> </text> <!-- Footer: The Unification (FTC) --> <rect x="30" y="485" width="840" height="50" rx="12" fill="#e879f922" stroke="#e879f944"/> <text x="450" y="515" text-anchor="middle" font-family="sans-serif" font-size="16" font-weight="bold" fill="#f8fafc"> THE FUNDAMENTAL THEOREM: <tspan fill="#e879f9">d/dx [ ∫ f(t) dt ] = f(x)</tspan> </text> <!-- Decorative Elements --> <circle cx="50" cy="50" r="20" fill="#f59e0b22"/> <circle cx="850" cy="510" r="15" fill="#38bdf822"/> <path d="M 800 40 L 840 80" stroke="#ffffff11" stroke-width="8"/> <path d="M 820 40 L 860 80" stroke="#ffffff11" stroke-width="8"/> </svg>Part 2: Integration image 1Part 2: Integration - Calculus I: Single Variable Calculus - image 1https://www.getlykke.com/explore/public/calculus-i-single-variable-calculus-9ac12726-58e8-4d0b-8a4f-75a32b2484bc/media/part-2-integration/svg/1Part 2: Integration diagram 1Part 2: Integration - Calculus I: Single Variable Calculus - diagram 1https://www.getlykke.com/explore/public/calculus-i-single-variable-calculus-9ac12726-58e8-4d0b-8a4f-75a32b2484bc/media/part-2-integration/svg/2Part 2: Integration diagram 2Part 2: Integration - Calculus I: Single Variable Calculus - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dotPattern" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10" /> </pattern> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dotPattern)"/> <!-- Header Section --> <text x="40" y="60" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">PART 3: COORDINATE SYSTEMS &amp; INFINITE SERIES</text> <text x="40" y="85" font-family="sans-serif" font-size="14" fill="#94a3b8" letter-spacing="1">THE CALCULUS OF APPROXIMATION &amp; RADIAL GEOMETRY</text> <rect x="40" y="105" width="120" height="4" fill="url(#accentGrad)" rx="2"/> <!-- Left Panel: Polar Coordinates --> <rect x="40" y="130" width="400" height="260" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="60" y="160" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">I. BEYOND THE GRID</text> <text x="60" y="180" font-family="sans-serif" font-size="12" fill="#94a3b8">Transitioning from (x, y) to (r, θ)</text> <!-- Polar Diagram --> <g transform="translate(140, 280)"> <!-- Polar Grid --> <circle r="30" fill="none" stroke="#ffffff10" stroke-width="1"/> <circle r="60" fill="none" stroke="#ffffff10" stroke-width="1"/> <circle r="90" fill="none" stroke="#ffffff10" stroke-width="1"/> <line x1="-90" y1="0" x2="90" y2="0" stroke="#ffffff10" stroke-width="1"/> <line x1="0" y1="-90" x2="0" y2="90" stroke="#ffffff10" stroke-width="1"/> <line x1="-63" y1="-63" x2="63" y2="63" stroke="#ffffff10" stroke-width="1"/> <line x1="63" y1="-63" x2="-63" y2="63" stroke="#ffffff10" stroke-width="1"/> <!-- Spiral Curve --> <path d="M0,0 C 10,-10 20,0 20,20 C 20,50 -20,60 -40,30 C -70,-10 -30,-70 30,-70 C 100,-70 110,20 60,80" fill="none" stroke="#38bdf8" stroke-width="3" stroke-linecap="round"/> <!-- Vector Label --> <line x1="0" y1="0" x2="56" y2="-56" stroke="#f59e0b" stroke-width="2" stroke-dasharray="4"/> <circle cx="56" cy="-56" r="4" fill="#f59e0b"/> <text x="62" y="-62" font-family="sans-serif" font-size="12" fill="#f8fafc" font-weight="bold">P(r, θ)</text> </g> <!-- Polar Equations Card --> <rect x="250" y="210" width="170" height="100" rx="12" fill="#0f172a" stroke="#38bdf840"/> <text x="265" y="235" font-family="serif" font-style="italic" font-size="14" fill="#f8fafc">x = r cos(θ)</text> <text x="265" y="260" font-family="serif" font-style="italic" font-size="14" fill="#f8fafc">y = r sin(θ)</text> <text x="265" y="285" font-family="serif" font-style="italic" font-size="14" fill="#f59e0b">dA = ½ r² dθ</text> <!-- Right Panel: Infinite Series --> <rect x="460" y="130" width="400" height="260" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="480" y="160" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">II. THE LOGIC OF INFINITY</text> <text x="480" y="180" font-family="sans-serif" font-size="12" fill="#94a3b8">Convergence: Does the sum exist?</text> <!-- Series Visualization --> <g transform="translate(480, 210)"> <!-- Convergence Bars --> <rect x="0" y="40" width="60" height="60" fill="#e879f9" fill-opacity="0.8"/> <rect x="65" y="60" width="40" height="40" fill="#e879f9" fill-opacity="0.6"/> <rect x="110" y="75" width="25" height="25" fill="#e879f9" fill-opacity="0.4"/> <rect x="140" y="85" width="15" height="15" fill="#e879f9" fill-opacity="0.2"/> <text x="0" y="30" font-family="serif" font-size="24" fill="#f8fafc">Σ aₙ</text> <!-- Ratio Test Box --> <rect x="180" y="10" width="180" height="110" rx="8" fill="#1e1b4b" stroke="#e879f940"/> <text x="195" y="35" font-family="sans-serif" font-weight="bold" font-size="12" fill="#e879f9">THE RATIO TEST</text> <text x="195" y="60" font-family="serif" font-size="13" fill="#f8fafc">L = lim |aₙ₊₁ / aₙ|</text> <text x="195" y="85" font-family="sans-serif" font-size="11" fill="#94a3b8">L &lt; 1 : Convergent</text> <text x="195" y="100" font-family="sans-serif" font-size="11" fill="#94a3b8">L &gt; 1 : Divergent</text> </g> <!-- Bottom Panel: Power Series --> <rect x="40" y="410" width="820" height="110" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <g transform="translate(60, 435)"> <circle cx="25" cy="25" r="25" fill="#f59e0b20" stroke="#f59e0b" stroke-width="2"/> <path d="M15,25 L35,25 M25,15 L25,35" stroke="#f59e0b" stroke-width="2"/> <text x="70" y="20" font-family="sans-serif" font-weight="700" font-size="16" fill="#f8fafc">POWER SERIES &amp; RADIUS OF CONVERGENCE</text> <text x="70" y="42" font-family="serif" font-size="15" fill="#94a3b8">f(x) = Σ cₙ(x - a)ⁿ = c₀ + c₁(x-a) + c₂(x-a)² + ...</text> <!-- Approximation Graphic --> <g transform="translate(550, -10)"> <path d="M0,50 Q40,0 80,50 T160,50" fill="none" stroke="#ffffff20" stroke-width="2"/> <path d="M0,55 Q40,10 80,55" fill="none" stroke="#f59e0b" stroke-width="2" stroke-dasharray="2"/> <text x="170" y="45" font-family="sans-serif" font-size="10" fill="#f59e0b">Taylor Approximation</text> </g> </g> <!-- Decorative Accents --> <circle cx="850" cy="50" r="80" fill="#38bdf8" fill-opacity="0.05"/> <circle cx="50" cy="510" r="40" fill="#e879f9" fill-opacity="0.05"/> <!-- Footer Label --> <text x="730" y="540" font-family="sans-serif" font-size="10" fill="#475569" font-weight="bold">MATHEMATICAL MATURITY SERIES • VOL. 03</text> </svg>Part 3: Coordinate Systems & Infinite Series image 1Part 3: Coordinate Systems & Infinite Series - Calculus I: Single Variable Calculus - image 1https://www.getlykke.com/explore/public/calculus-i-single-variable-calculus-9ac12726-58e8-4d0b-8a4f-75a32b2484bc/media/part-3-coordinate-systems-infinite-series/svg/1Part 3: Coordinate Systems & Infinite Series diagram 1Part 3: Coordinate Systems & Infinite Series - Calculus I: Single Variable Calculus - diagram 1https://www.getlykke.com/explore/public/calculus-i-single-variable-calculus-9ac12726-58e8-4d0b-8a4f-75a32b2484bc/media/part-3-coordinate-systems-infinite-series/svg/2Part 3: Coordinate Systems & Infinite Series diagram 2Part 3: Coordinate Systems & Infinite Series - Calculus I: Single Variable Calculus - diagram 2https://www.getlykke.com/explore/public/calculus-i-single-variable-calculus-9ac12726-58e8-4d0b-8a4f-75a32b2484bc/media/part-3-coordinate-systems-infinite-series/svg/3Part 3: Coordinate Systems & Infinite Series diagram 3Part 3: Coordinate Systems & Infinite Series - Calculus I: Single Variable Calculus - diagram 3https://www.getlykke.com/explore/public/college-algebra-24ddef04-2a28-48d8-bab2-8ab5d7d2b5a72026-04-20T04:39:12.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <!-- Decorative Grid --> <pattern id="grid" width="30" height="30" patternUnits="userSpaceOnUse"> <path d="M 30 0 L 0 0 0 30" fill="none" stroke="#ffffff05" stroke-width="1"/> </pattern> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="40" y="60" font-family="Arial, sans-serif" font-weight="800" font-size="32" fill="#f8fafc" filter="url(#glow)">LINEAR EQUATIONS &amp; INEQUALITIES</text> <rect x="40" y="75" width="180" height="4" fill="url(#accentGrad)" rx="2"/> <text x="40" y="100" font-family="Arial, sans-serif" font-size="14" fill="#94a3b8" letter-spacing="0.5">A CONCEPTUAL MAP OF ALGEBRAIC ISOLATION AND CONSISTENCY</text> <!-- Left Panel: The Workflow --> <rect x="40" y="130" width="260" height="390" rx="16" fill="#ffffff0a" stroke="#ffffff10" stroke-width="1"/> <text x="60" y="160" font-family="Arial, sans-serif" font-weight="bold" font-size="18" fill="#38bdf8">ALGORITHMIC PIPELINE</text> <g transform="translate(60, 190)"> <!-- Step 1 --> <circle cx="12" cy="12" r="12" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <text x="12" y="17" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#38bdf8" text-anchor="middle">1</text> <text x="35" y="10" font-family="Arial, sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">SIMPLIFY</text> <text x="35" y="25" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Distribute &amp; Clear Parentheses</text> <!-- Step 2 --> <g transform="translate(0, 55)"> <circle cx="12" cy="12" r="12" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <text x="12" y="17" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#38bdf8" text-anchor="middle">2</text> <text x="35" y="10" font-family="Arial, sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">COMBINE</text> <text x="35" y="25" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Aggregate Like Terms on Sides</text> </g> <!-- Step 3 --> <g transform="translate(0, 110)"> <circle cx="12" cy="12" r="12" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <text x="12" y="17" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#38bdf8" text-anchor="middle">3</text> <text x="35" y="10" font-family="Arial, sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">GROUP</text> <text x="35" y="25" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Variables Left, Constants Right</text> </g> <!-- Step 4 --> <g transform="translate(0, 165)"> <circle cx="12" cy="12" r="12" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <text x="12" y="17" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#38bdf8" text-anchor="middle">4</text> <text x="35" y="10" font-family="Arial, sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">ISOLATE</text> <text x="35" y="25" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Divide by Coefficient of x</text> </g> <!-- Step 5 --> <g transform="translate(0, 220)"> <circle cx="12" cy="12" r="12" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <text x="12" y="17" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#38bdf8" text-anchor="middle">5</text> <text x="35" y="10" font-family="Arial, sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">VERIFY</text> <text x="35" y="25" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Check Solution in Original</text> </g> <!-- Connectors --> <line x1="12" y1="24" x2="12" y2="55" stroke="#38bdf840" stroke-width="2" stroke-dasharray="4 2"/> <line x1="12" y1="79" x2="12" y2="110" stroke="#38bdf840" stroke-width="2" stroke-dasharray="4 2"/> <line x1="12" y1="134" x2="12" y2="165" stroke="#38bdf840" stroke-width="2" stroke-dasharray="4 2"/> <line x1="12" y1="189" x2="12" y2="220" stroke="#38bdf840" stroke-width="2" stroke-dasharray="4 2"/> </g> <!-- Middle Panel: Properties of Equality --> <rect x="320" y="130" width="260" height="390" rx="16" fill="#ffffff0a" stroke="#ffffff10" stroke-width="1"/> <text x="340" y="160" font-family="Arial, sans-serif" font-weight="bold" font-size="18" fill="#f59e0b">THE BALANCE PRINCIPLE</text> <!-- Scale Icon --> <g transform="translate(450, 220)"> <path d="M -60 20 L 60 20" stroke="#f59e0b" stroke-width="3"/> <path d="M 0 20 L 0 -10" stroke="#f59e0b" stroke-width="3"/> <path d="M -15 40 L 15 40 L 0 20 Z" fill="#f59e0b20" stroke="#f59e0b" stroke-width="2"/> <circle cx="-60" cy="35" r="15" fill="#ffffff10" stroke="#f59e0b" stroke-width="1"/> <circle cx="60" cy="35" r="15" fill="#ffffff10" stroke="#f59e0b" stroke-width="1"/> <text x="-60" y="39" font-family="serif" font-size="12" fill="#f8fafc" text-anchor="middle">L</text> <text x="60" y="39" font-family="serif" font-size="12" fill="#f8fafc" text-anchor="middle">R</text> </g> <g transform="translate(340, 310)"> <rect width="220" height="180" rx="8" fill="#00000020"/> <text x="10" y="25" font-family="monospace" font-size="13" fill="#f59e0b">If a = b, then:</text> <text x="20" y="55" font-family="monospace" font-size="12" fill="#f8fafc">a + c = b + c (Add)</text> <text x="20" y="80" font-family="monospace" font-size="12" fill="#f8fafc">a - c = b - c (Sub)</text> <text x="20" y="105" font-family="monospace" font-size="12" fill="#f8fafc">a * c = b * c (Mult)</text> <text x="20" y="130" font-family="monospace" font-size="12" fill="#f8fafc">a / c = b / c (Div)</text> <text x="10" y="165" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8" font-style="italic">* c ≠ 0 for division</text> </g> <!-- Right Panel: Solution Classification --> <rect x="600" y="130" width="260" height="390" rx="16" fill="#ffffff0a" stroke="#ffffff10" stroke-width="1"/> <text x="620" y="160" font-family="Arial, sans-serif" font-weight="bold" font-size="18" fill="#e879f9">SOLUTION SETS</text> <!-- Conditional --> <g transform="translate(620, 185)"> <rect width="220" height="60" rx="8" fill="#e879f910"/> <path d="M 10 30 L 40 30 M 25 15 L 25 45" stroke="#94a3b8" stroke-width="1"/> <path d="M 15 40 L 35 20" stroke="#e879f9" stroke-width="2"/> <path d="M 15 20 L 35 40" stroke="#38bdf8" stroke-width="2"/> <text x="55" y="25" font-family="Arial, sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">CONDITIONAL</text> <text x="55" y="42" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">One Solution: x = a</text> </g> <!-- Identity --> <g transform="translate(620, 260)"> <rect width="220" height="60" rx="8" fill="#e879f910"/> <path d="M 10 30 L 40 30 M 25 15 L 25 45" stroke="#94a3b8" stroke-width="1"/> <path d="M 15 30 L 35 30" stroke="#e879f9" stroke-width="4" stroke-opacity="0.5"/> <path d="M 15 30 L 35 30" stroke="#38bdf8" stroke-width="1"/> <text x="55" y="25" font-family="Arial, sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">IDENTITY</text> <text x="55" y="42" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">Infinite: All Real Numbers</text> </g> <!-- Contradiction --> <g transform="translate(620, 335)"> <rect width="220" height="60" rx="8" fill="#e879f910"/> <path d="M 10 30 L 40 30 M 25 15 L 25 45" stroke="#94a3b8" stroke-width="1"/> <path d="M 15 25 L 35 25" stroke="#e879f9" stroke-width="2"/> <path d="M 15 35 L 35 35" stroke="#38bdf8" stroke-width="2"/> <text x="55" y="25" font-family="Arial, sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">CONTRADICTION</text> <text x="55" y="42" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">No Solution: Empty Set (Ø)</text> </g> <!-- Inequality Note --> <g transform="translate(620, 415)"> <rect width="220" 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2https://www.getlykke.com/explore/public/college-algebra-24ddef04-2a28-48d8-bab2-8ab5d7d2b5a7/media/introduction-to-functions/svg/1Introduction to Functions diagram 1Introduction to Functions - College Algebra - diagram 1https://www.getlykke.com/explore/public/college-algebra-24ddef04-2a28-48d8-bab2-8ab5d7d2b5a7/media/introduction-to-functions/svg/2Introduction to Functions diagram 2Introduction to Functions - College Algebra - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dotPattern" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dotPattern)"/> <!-- Decorative Shapes --> <circle cx="850" cy="50" r="100" fill="#38bdf808"/> <path d="M-50 400 Q 150 350 300 500 T 600 450 T 950 550" stroke="#e879f910" stroke-width="2" fill="none"/> <!-- Main Title --> <text x="450" y="60" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">QUADRATIC EXPRESSIONS &amp; FACTORING</text> <rect x="400" y="75" width="100" height="4" rx="2" fill="#f59e0b"/> <!-- Top Card: The Standard Form --> <rect x="250" y="100" width="400" height="80" rx="16" fill="#ffffff15" stroke="#ffffff20"/> <text x="450" y="125" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="600" fill="#94a3b8" text-transform="uppercase">The Standard Form</text> <text x="450" y="160" text-anchor="middle" font-family="serif" font-size="28" fill="#f8fafc"> <tspan fill="#f59e0b">a</tspan>x² + <tspan fill="#38bdf8">b</tspan>x + <tspan fill="#e879f9">c</tspan> </text> <!-- Left Panel: Expansion (Area Model) --> <rect x="40" y="200" width="400" height="220" rx="16" fill="#ffffff10" stroke="#ffffff10"/> <text x="60" y="230" font-family="sans-serif" font-size="18" font-weight="700" fill="#38bdf8">1. Expansion: The Area Model</text> <text x="60" y="250" font-family="sans-serif" font-size="12" fill="#94a3b8">Visualizing (x + p)(x + q) as geometric area.</text> <!-- Area Model Diagram --> <g transform="translate(140, 270)"> <!-- Grid --> <rect x="30" y="30" width="140" height="100" fill="none" stroke="#94a3b8" stroke-width="1"/> <line x1="100" y1="30" x2="100" y2="130" stroke="#94a3b8" stroke-dasharray="4"/> <line x1="30" y1="80" x2="170" y2="80" stroke="#94a3b8" stroke-dasharray="4"/> <!-- Labels --> <text x="65" y="20" text-anchor="middle" font-family="serif" font-size="14" fill="#f8fafc">x</text> <text x="135" y="20" text-anchor="middle" font-family="serif" font-size="14" fill="#f59e0b">p</text> <text x="15" y="60" text-anchor="middle" font-family="serif" font-size="14" fill="#f8fafc">x</text> <text x="15" y="110" text-anchor="middle" font-family="serif" font-size="14" fill="#e879f9">q</text> <!-- Cell Contents --> <text x="65" y="60" text-anchor="middle" font-family="serif" font-size="14" fill="#f8fafc" font-weight="bold">x²</text> <text x="135" y="60" text-anchor="middle" font-family="serif" font-size="14" fill="#f59e0b">px</text> <text x="65" y="110" text-anchor="middle" font-family="serif" font-size="14" fill="#e879f9">qx</text> <text x="135" y="110" text-anchor="middle" font-family="serif" font-size="14" fill="#38bdf8">pq</text> </g> <!-- Right Panel: Factoring (Monic) --> <rect x="460" y="200" width="400" height="220" rx="16" fill="#ffffff10" stroke="#ffffff10"/> <text x="480" y="230" font-family="sans-serif" font-size="18" font-weight="700" fill="#f59e0b">2. Factoring: Sum &amp; Product</text> <text x="480" y="250" font-family="sans-serif" font-size="12" fill="#94a3b8">Decomposing x² + bx + c where a = 1.</text> <g transform="translate(480, 280)"> <rect width="360" height="110" rx="8" fill="#00000020"/> <text x="180" y="35" text-anchor="middle" font-family="serif" font-size="18" fill="#f8fafc">Find <tspan fill="#38bdf8">r</tspan> and <tspan fill="#e879f9">s</tspan> such that:</text> <circle cx="100" cy="75" r="25" fill="none" stroke="#38bdf8" stroke-width="2"/> <text x="100" y="80" text-anchor="middle" font-family="serif" font-size="16" fill="#f8fafc">r + s = <tspan fill="#f59e0b">b</tspan></text> <circle cx="260" cy="75" r="25" fill="none" stroke="#e879f9" stroke-width="2"/> <text x="260" y="80" text-anchor="middle" font-family="serif" font-size="16" fill="#f8fafc">r · s = <tspan fill="#f59e0b">c</tspan></text> <path d="M180 60 L 180 90" stroke="#ffffff20" stroke-width="1"/> </g> <!-- Bottom Panel: The AC Method --> <rect x="40" y="440" width="820" height="90" rx="16" fill="#ffffff15" stroke="#ffffff20"/> <text x="60" y="470" font-family="sans-serif" font-size="16" font-weight="700" fill="#e879f9">The AC Method (for a ≠ 1)</text> <g transform="translate(60, 485)"> <!-- Step 1 --> <circle cx="15" cy="15" r="12" fill="#e879f9"/> <text x="15" y="20" text-anchor="middle" font-family="sans-serif" font-size="12" font-weight="bold" fill="#0f172a">1</text> <text x="35" y="20" font-family="sans-serif" font-size="13" fill="#f8fafc">Multiply <tspan fill="#f59e0b">a</tspan> and <tspan fill="#e879f9">c</tspan></text> <!-- Arrow --> <path d="M150 15 L 180 15" stroke="#94a3b8" stroke-width="1" marker-end="url(#arrowhead)"/> <!-- Step 2 --> <circle cx="215" cy="15" r="12" fill="#e879f9"/> <text x="215" y="20" text-anchor="middle" font-family="sans-serif" font-size="12" font-weight="bold" fill="#0f172a">2</text> <text x="235" y="20" font-family="sans-serif" font-size="13" fill="#f8fafc">Find factors summing to <tspan fill="#38bdf8">b</tspan></text> <!-- Arrow --> <path d="M400 15 L 430 15" stroke="#94a3b8" stroke-width="1"/> <!-- Step 3 --> <circle cx="465" cy="15" r="12" fill="#e879f9"/> <text x="465" y="20" text-anchor="middle" font-family="sans-serif" font-size="12" font-weight="bold" fill="#0f172a">3</text> <text x="485" y="20" font-family="sans-serif" font-size="13" fill="#f8fafc">Split middle term</text> <!-- Arrow --> <path d="M610 15 L 640 15" stroke="#94a3b8" stroke-width="1"/> <!-- Step 4 --> <circle cx="675" cy="15" r="12" fill="#e879f9"/> <text x="675" y="20" text-anchor="middle" font-family="sans-serif" font-size="12" font-weight="bold" fill="#0f172a">4</text> <text x="695" y="20" font-family="sans-serif" font-size="13" fill="#f8fafc">Factor by Grouping</text> </g> <!-- Footer --> <text x="860" y="545" text-anchor="end" font-family="sans-serif" font-size="10" fill="#94a3b8" font-style="italic">Algebraic Foundations Series • Section 4.2</text> </svg>Quadratic Expressions and Factoring image 1Quadratic Expressions and Factoring - College Algebra - image 1https://www.getlykke.com/explore/public/college-algebra-24ddef04-2a28-48d8-bab2-8ab5d7d2b5a7/media/quadratic-factoring/svg/1Quadratic Expressions and Factoring diagram 1Quadratic Expressions and Factoring - College Algebra - diagram 1https://www.getlykke.com/explore/public/college-algebra-24ddef04-2a28-48d8-bab2-8ab5d7d2b5a7/media/quadratic-factoring/svg/2Quadratic Expressions and Factoring diagram 2Quadratic Expressions and Factoring - College Algebra - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="3" result="blur"/> <feComposite in="SourceGraphic" in2="blur" operator="over"/> </filter> </defs> <!-- Background Layer --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="40" y="60" font-family="sans-serif" font-weight="800" font-size="34" fill="#f8fafc" letter-spacing="-1">COMPLEX NUMBERS</text> <text x="40" y="88" font-family="sans-serif" font-size="16" font-weight="400" fill="#94a3b8">The Two-Dimensional Expansion of the Number System</text> <line x1="40" y1="110" x2="860" y2="110" stroke="#ffffff15" stroke-width="1"/> <!-- Left Panel: The Imaginary Unit --> <rect x="40" y="135" width="260" height="385" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="60" y="165" font-family="sans-serif" font-weight="bold" font-size="18" fill="#f59e0b">The Imaginary Unit (i)</text> <text x="60" y="190" font-family="sans-serif" font-size="13" fill="#94a3b8">Defined as the solution to x² = -1</text> <!-- i-Cycle Visualization --> <circle cx="170" cy="320" r="80" fill="none" stroke="#ffffff10" stroke-dasharray="4 4"/> <!-- Cycle Nodes --> <g font-family="serif" font-style="italic" font-weight="bold" text-anchor="middle"> <!-- i^1 --> <circle cx="170" cy="240" r="22" fill="#1e293b" stroke="#38bdf8" stroke-width="2"/> <text x="170" y="246" font-size="18" fill="#f8fafc">i</text> <text x="170" y="215" font-family="sans-serif" font-style="normal" font-size="10" fill="#94a3b8">i¹</text> <!-- i^2 --> <circle cx="250" cy="320" r="22" fill="#1e293b" stroke="#e879f9" stroke-width="2"/> <text x="250" y="326" font-size="18" fill="#f8fafc">-1</text> <text x="285" y="324" font-family="sans-serif" font-style="normal" font-size="10" fill="#94a3b8">i²</text> <!-- i^3 --> <circle cx="170" cy="400" r="22" fill="#1e293b" stroke="#38bdf8" stroke-width="2"/> <text x="170" y="406" font-size="18" fill="#f8fafc">-i</text> <text x="170" y="440" font-family="sans-serif" font-style="normal" font-size="10" fill="#94a3b8">i³</text> <!-- i^4 --> <circle cx="90" cy="320" r="22" fill="#1e293b" stroke="#e879f9" stroke-width="2"/> <text x="90" y="326" font-size="18" fill="#f8fafc">1</text> <text x="55" y="324" font-family="sans-serif" font-style="normal" font-size="10" fill="#94a3b8">i⁴</text> </g> <!-- Rotation Arrows --> <path d="M 195 255 A 50 50 0 0 1 235 295" fill="none" stroke="#64748b" stroke-width="2" marker-end="url(#arrow)"/> <text x="170" y="490" text-anchor="middle" font-family="sans-serif" font-size="12" fill="#94a3b8" font-style="italic">Cyclic Periodicity of 4</text> <!-- Center Panel: Standard Form --> <rect x="320" y="135" width="540" height="180" rx="16" fill="#ffffff10" stroke="#38bdf833"/> <text x="350" y="170" font-family="sans-serif" font-weight="bold" font-size="18" fill="#38bdf8">Standard Form: z = a + bi</text> <g transform="translate(350, 200)"> <!-- Big Formula --> <text x="0" y="50" font-family="serif" font-weight="bold" font-size="64" fill="#f8fafc"> z = <tspan fill="#38bdf8">a</tspan> + <tspan fill="#e879f9">b</tspan><tspan fill="#e879f9" font-style="italic">i</tspan> </text> <!-- Labels --> <line x1="35" y1="70" x2="15" y2="100" stroke="#38bdf8" stroke-width="1.5"/> <text x="15" y="115" font-family="sans-serif" font-size="12" fill="#38bdf8" font-weight="bold">REAL PART</text> <text x="15" y="130" font-family="sans-serif" font-size="11" fill="#94a3b8">Re(z)</text> <line x1="135" y1="70" x2="165" y2="100" stroke="#e879f9" stroke-width="1.5"/> <text x="165" y="115" font-family="sans-serif" font-size="12" fill="#e879f9" font-weight="bold">IMAGINARY PART</text> <text x="165" y="130" font-family="sans-serif" font-size="11" fill="#94a3b8">Im(z)</text> </g> <!-- Right Bottom Panel: The Complex Plane --> <rect x="320" y="335" width="260" height="185" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="340" y="365" font-family="sans-serif" font-weight="bold" font-size="16" fill="#f8fafc">The Complex Plane</text> <!-- Mini Graph --> <g transform="translate(450, 440)"> <line x1="-80" y1="0" x2="80" y2="0" stroke="#64748b" stroke-width="1"/> <line x1="0" y1="-60" x2="0" y2="40" stroke="#64748b" stroke-width="1"/> <text x="85" y="4" font-family="sans-serif" font-size="9" fill="#64748b">Re</text> <text x="0" y="-68" text-anchor="middle" font-family="sans-serif" font-size="9" fill="#64748b">Im</text> <!-- Vector --> <line x1="0" y1="0" x2="50" y2="-40" stroke="url(#accentGrad)" stroke-width="3" filter="url(#glow)"/> <circle cx="50" cy="-40" r="4" fill="#f8fafc"/> <text x="55" y="-45" font-family="sans-serif" font-size="11" fill="#f8fafc" font-weight="bold">z(a, b)</text> <!-- Projections --> <line x1="50" y1="0" x2="50" y2="-40" stroke="#ffffff33" stroke-dasharray="2 2"/> <line x1="0" y1="-40" x2="50" y2="-40" stroke="#ffffff33" stroke-dasharray="2 2"/> </g> <!-- Far Right Panel: Conjugate & Arithmetic --> <rect x="600" y="335" width="260" height="185" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="620" y="365" font-family="sans-serif" font-weight="bold" font-size="16" fill="#f8fafc">The Conjugate</text> <g transform="translate(620, 390)"> <rect width="220" height="45" rx="8" fill="#ffffff05"/> <text x="110" y="28" text-anchor="middle" font-family="serif" font-size="20" fill="#f8fafc"> z* = a <tspan fill="#f59e0b">−</tspan> bi </text> <text x="110" y="65" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#94a3b8">Reflects across the Real Axis</text> <text x="0" y="95" font-family="sans-serif" font-weight="bold" font-size="14" fill="#38bdf8">Key Property:</text> <text x="0" y="115" font-family="serif" font-size="16" fill="#f8fafc">z · z* = a² + b²</text> <text x="0" y="132" font-family="sans-serif" font-size="11" fill="#94a3b8">Always results in a real number.</text> </g> <!-- Decorative Accent --> <circle cx="860" cy="40" r="80" fill="url(#accentGrad)" opacity="0.05"/> <circle cx="40" cy="520" r="40" fill="#38bdf8" opacity="0.1"/> </svg>Complex Numbers image 1Complex Numbers - College Algebra - image 1https://www.getlykke.com/explore/public/college-algebra-24ddef04-2a28-48d8-bab2-8ab5d7d2b5a7/media/complex-numbers/svg/1Complex Numbers diagram 1Complex Numbers - College Algebra - diagram 1https://www.getlykke.com/explore/public/college-algebra-24ddef04-2a28-48d8-bab2-8ab5d7d2b5a7/media/complex-numbers/svg/2Complex Numbers diagram 2Complex Numbers - College Algebra - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Decorative Accent Shapes --> <path d="M 0 560 L 300 560 L 0 260 Z" fill="#38bdf808"/> <circle cx="850" cy="50" r="100" fill="#e879f905"/> <!-- Header Section --> <text x="450" y="60" text-anchor="middle" font-family="system-ui, sans-serif" font-weight="800" font-size="34" fill="#f8fafc" filter="url(#glow)">EXPONENTS &amp; EXPONENTIAL GROWTH</text> <text x="450" y="85" text-anchor="middle" font-family="system-ui, sans-serif" font-size="14" font-weight="500" fill="#94a3b8" letter-spacing="2">THE MATHEMATICS OF MULTIPLICATIVE SCALING</text> <line x1="350" y1="105" x2="550" y2="105" stroke="#f59e0b" stroke-width="2" stroke-linecap="round"/> <!-- Left Panel: The Laws --> <rect x="40" y="130" width="400" height="310" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="165" font-family="system-ui, sans-serif" font-weight="700" font-size="18" fill="#f59e0b">ALGEBRAIC AXIOMS</text> <g font-family="monospace" font-size="14" fill="#f8fafc"> <rect x="60" y="185" width="360" height="35" rx="6" fill="#ffffff05"/> <text x="75" y="208">Product Rule: aᵐ · aⁿ = aᵐ⁺ⁿ</text> <rect x="60" y="225" width="360" height="35" rx="6" fill="#ffffff05"/> <text x="75" y="248">Quotient Rule: aᵐ / aⁿ = aᵐ⁻ⁿ</text> <rect x="60" y="265" width="360" height="35" rx="6" fill="#ffffff05"/> <text x="75" y="288">Power/Power: (aᵐ)ⁿ = aᵐⁿ</text> <rect x="60" y="305" width="360" height="35" rx="6" fill="#ffffff05"/> <text x="75" y="328">Zero Power: a⁰ = 1 (a≠0)</text> <rect x="60" y="345" width="360" height="35" rx="6" fill="#ffffff05"/> <text x="75" y="368">Negative: a⁻ⁿ = 1 / aⁿ</text> </g> <text x="60" y="410" font-family="system-ui, sans-serif" font-size="12" fill="#94a3b8" font-style="italic"> "Exponentiation represents the leap from additive </text> <text x="60" y="426" font-family="system-ui, sans-serif" font-size="12" fill="#94a3b8" font-style="italic"> to multiplicative logic." </text> <!-- Right Panel: Growth Visualization --> <rect x="460" y="130" width="400" height="310" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="480" y="165" font-family="system-ui, sans-serif" font-weight="700" font-size="18" fill="#38bdf8">MITOSIS: 2ⁿ GROWTH</text> <!-- Growth Diagram --> <g transform="translate(480, 180)"> <!-- Gen 0 --> <circle cx="20" cy="80" r="12" fill="#38bdf8" fill-opacity="0.8"/> <text x="20" y="115" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">2⁰=1</text> <!-- Gen 1 --> <path d="M 35 80 L 85 50 M 35 80 L 85 110" stroke="#ffffff20" stroke-width="1"/> <circle cx="100" cy="50" r="10" fill="#38bdf8" fill-opacity="0.6"/> <circle cx="100" cy="110" r="10" fill="#38bdf8" fill-opacity="0.6"/> <text x="100" y="135" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">2¹=2</text> <!-- Gen 2 --> <path d="M 115 50 L 165 30 M 115 50 L 165 70 M 115 110 L 165 90 M 115 110 L 165 130" stroke="#ffffff20" stroke-width="1"/> <circle cx="180" cy="30" r="8" fill="#38bdf8" fill-opacity="0.4"/> <circle cx="180" cy="70" r="8" fill="#38bdf8" fill-opacity="0.4"/> <circle cx="180" cy="90" r="8" fill="#38bdf8" fill-opacity="0.4"/> <circle cx="180" cy="130" r="8" fill="#38bdf8" fill-opacity="0.4"/> <text x="180" y="155" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">2²=4</text> <!-- Gen 3 --> <g transform="translate(260, 0)"> <rect x="0" y="10" width="100" height="140" rx="8" fill="#ffffff05"/> <text x="50" y="35" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#f8fafc" font-weight="bold">GEN 10</text> <text x="50" y="70" text-anchor="middle" font-family="monospace" font-size="22" fill="#e879f9" font-weight="bold">1,024</text> <text x="50" y="95" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">CELLS</text> <path d="M 20 110 L 80 110" stroke="#e879f9" stroke-width="2" stroke-dasharray="4 2"/> </g> </g> <!-- Bottom Panel: Radicals --> <rect x="40" y="460" width="820" height="70" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <g transform="translate(60, 475)"> <circle cx="20" cy="20" r="15" fill="#e879f920" stroke="#e879f9" stroke-width="1"/> <text x="20" y="25" text-anchor="middle" font-family="serif" font-size="18" fill="#e879f9">√</text> <text x="50" y="25" font-family="system-ui, sans-serif" font-weight="700" font-size="16" fill="#f8fafc">RADICALS AS RATIONAL EXPONENTS</text> <text x="350" y="25" font-family="monospace" font-size="20" fill="#38bdf8">a¹/ⁿ = ⁿ√a</text> <text x="550" y="25" font-family="system-ui, sans-serif" font-size="13" fill="#94a3b8">The inverse operation of a power is its corresponding root.</text> </g> <!-- Small Detail: a^0 = 1 proof --> <g transform="translate(260, 310)"> <rect width="150" height="60" rx="8" fill="#00000030"/> <text x="10" y="20" font-family="monospace" font-size="10" fill="#94a3b8">Proof: x³/x³ = 1</text> <text x="10" y="35" font-family="monospace" font-size="10" fill="#94a3b8">By Law: x³⁻³ = x⁰</text> <text x="10" y="50" font-family="monospace" font-size="10" fill="#f59e0b">∴ x⁰ = 1</text> </g> <!-- Corner Labels --> <text x="860" y="545" text-anchor="end" font-family="sans-serif" font-size="9" fill="#ffffff20">WIKI EDUCATIONAL SERIES: UNIT 4.2</text> </svg>Exponents and Exponential Growth image 1Exponents and Exponential Growth - College Algebra - image 1https://www.getlykke.com/explore/public/college-algebra-24ddef04-2a28-48d8-bab2-8ab5d7d2b5a7/media/exponents-growth/svg/1Exponents and Exponential Growth diagram 1Exponents and Exponential Growth - College Algebra - diagram 1https://www.getlykke.com/explore/public/college-algebra-24ddef04-2a28-48d8-bab2-8ab5d7d2b5a7/media/exponents-growth/svg/2Exponents and Exponential Growth diagram 2Exponents and Exponential Growth - College Algebra - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="cardGrad" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#ffffff1a"/> <stop offset="100%" stop-color="#ffffff05"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="40" y="60" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">RATIONAL EXPRESSIONS &amp; EQUATIONS</text> <text x="40" y="85" font-family="sans-serif" font-size="14" fill="#94a3b8" letter-spacing="1">THE FORMAL EXTENSION OF POLYNOMIALS INTO DIVISION</text> <rect x="40" y="100" width="120" height="4" rx="2" fill="#38bdf8"/> <!-- Main Definition Card --> <rect x="40" y="130" width="380" height="140" rx="16" fill="url(#cardGrad)" stroke="#ffffff10" stroke-width="1"/> <text x="65" y="165" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">The Anatomy</text> <text x="65" y="195" font-family="serif" font-style="italic" font-size="32" fill="#f8fafc">f(x) = </text> <line x1="145" y1="195" x2="225" y2="195" stroke="#f8fafc" stroke-width="2"/> <text x="160" y="185" font-family="serif" font-style="italic" font-size="24" fill="#e879f9">P(x)</text> <text x="160" y="225" font-family="serif" font-style="italic" font-size="24" fill="#f59e0b">Q(x)</text> <text x="245" y="210" font-family="sans-serif" font-size="13" fill="#94a3b8">Where P, Q are polynomials</text> <text x="245" y="228" font-family="sans-serif" font-weight="bold" font-size="13" fill="#f59e0b">Constraint: Q(x) ≠ 0</text> <!-- Domain & Singularities Card --> <rect x="40" y="290" width="380" height="230" rx="16" fill="url(#cardGrad)" stroke="#ffffff10" stroke-width="1"/> <text x="65" y="325" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">Domain &amp; Singularities</text> <!-- Hole Visual --> <circle cx="85" cy="370" r="15" fill="none" stroke="#38bdf8" stroke-width="2"/> <line x1="60" y1="370" x2="70" y2="370" stroke="#38bdf8" stroke-width="2"/> <line x1="100" y1="370" x2="110" y2="370" stroke="#38bdf8" stroke-width="2"/> <text x="130" y="365" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">Removable (Holes)</text> <text x="130" y="382" font-family="sans-serif" font-size="12" fill="#94a3b8">Factors that cancel out</text> <!-- Asymptote Visual --> <line x1="85" y1="420" x2="85" y2="470" stroke="#f59e0b" stroke-width="2" stroke-dasharray="4 2"/> <path d="M 65 470 Q 70 445 80 445" fill="none" stroke="#f8fafc" stroke-width="1.5"/> <path d="M 105 420 Q 100 445 90 445" fill="none" stroke="#f8fafc" stroke-width="1.5"/> <text x="130" y="435" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">Vertical Asymptotes</text> <text x="130" y="452" font-family="sans-serif" font-size="12" fill="#94a3b8">Non-removable discontinuities</text> <text x="130" y="468" font-family="sans-serif" font-size="12" fill="#94a3b8">where denominator remains zero</text> <!-- The Reduction Algorithm Card --> <rect x="440" y="130" width="420" height="240" rx="16" fill="#ffffff10" stroke="#ffffff10" stroke-width="1"/> <text x="465" y="165" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">The Reduction Algorithm</text> <!-- Step 1 --> <circle cx="480" cy="205" r="12" fill="#e879f9"/> <text x="476" y="210" font-family="sans-serif" font-weight="bold" font-size="12" fill="#0f172a">1</text> <text x="505" y="200" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">Factor Completely</text> <text x="505" y="215" font-family="sans-serif" font-size="12" fill="#94a3b8">Decompose P(x) and Q(x) into irreducible factors.</text> <!-- Step 2 --> <circle cx="480" cy="250" r="12" fill="#e879f9"/> <text x="476" y="255" font-family="sans-serif" font-weight="bold" font-size="12" fill="#0f172a">2</text> <text x="505" y="245" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">Restrict Domain</text> <text x="505" y="260" font-family="sans-serif" font-size="12" fill="#94a3b8">Identify all values where the original Q(x) = 0.</text> <!-- Step 3 --> <circle cx="480" cy="295" r="12" fill="#e879f9"/> <text x="476" y="300" font-family="sans-serif" font-weight="bold" font-size="12" fill="#0f172a">3</text> <text x="505" y="290" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">Cancel Common Factors</text> <text x="505" y="305" font-family="sans-serif" font-size="12" fill="#94a3b8">Divide out shared terms (the "Form of One").</text> <!-- Step 4 --> <circle cx="480" cy="340" r="12" fill="#e879f9"/> <text x="476" y="345" font-family="sans-serif" font-weight="bold" font-size="12" fill="#0f172a">4</text> <text x="505" y="335" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">State Simplified Form</text> <text x="505" y="350" font-family="sans-serif" font-size="12" fill="#94a3b8">Include restrictions not visible in the final form.</text> <!-- Real World Applications --> <rect x="440" y="390" width="420" height="130" rx="16" fill="url(#cardGrad)" stroke="#ffffff10" stroke-width="1"/> <text x="465" y="420" font-family="sans-serif" font-weight="700" font-size="16" fill="#38bdf8">Real-World Modeling</text> <g transform="translate(465, 440)"> <rect width="100" height="60" rx="8" fill="#ffffff08"/> <text x="50" y="25" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="11" fill="#f8fafc">FLUIDS</text> <text x="50" y="45" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">Flow Rates</text> </g> <g transform="translate(580, 440)"> <rect width="100" height="60" rx="8" fill="#ffffff08"/> <text x="50" y="25" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="11" fill="#f8fafc">CIRCUITS</text> <text x="50" y="45" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">Impedance</text> </g> <g transform="translate(695, 440)"> <rect width="100" height="60" rx="8" fill="#ffffff08"/> <text x="50" y="25" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="11" fill="#f8fafc">CALCULUS</text> <text x="50" y="45" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">Limits</text> </g> <!-- Decorative Accents --> <circle cx="840" cy="60" r="30" fill="none" stroke="#38bdf8" stroke-width="0.5" opacity="0.5"/> <circle cx="840" cy="60" r="20" fill="none" stroke="#e879f9" stroke-width="0.5" opacity="0.5"/> <path d="M 860 40 L 880 20" stroke="#f59e0b" stroke-width="1" opacity="0.5"/> </svg>Rational Expressions and Equations image 1Rational Expressions and Equations - College Algebra - image 1https://www.getlykke.com/explore/public/college-algebra-24ddef04-2a28-48d8-bab2-8ab5d7d2b5a7/media/rational-expressions/svg/1Rational Expressions and Equations diagram 1Rational Expressions and Equations - College Algebra - diagram 1https://www.getlykke.com/explore/public/college-algebra-24ddef04-2a28-48d8-bab2-8ab5d7d2b5a7/media/rational-expressions/svg/2Rational Expressions and Equations diagram 2Rational Expressions and Equations - College Algebra - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bgGradient" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="30" height="30" patternUnits="userSpaceOnUse"> <path d="M 30 0 L 0 0 0 30" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bgGradient)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="450" y="50" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="32" font-weight="bold" letter-spacing="1">THE ANALYTIC BRIDGE</text> <text x="450" y="75" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="16" font-weight="300" text-transform="uppercase">Coordinate Geometry &amp; The Geometry of Circles</text> <line x1="350" y1="90" x2="550" y2="90" stroke="#f59e0b" stroke-width="2" stroke-linecap="round"/> <!-- Left Card: Distance Formula --> <rect x="40" y="120" width="400" height="240" rx="16" fill="#ffffff0a" stroke="#38bdf833" stroke-width="1"/> <circle cx="75" cy="155" r="18" fill="#38bdf822"/> <path d="M 68 155 L 82 155 M 75 148 L 75 162" stroke="#38bdf8" stroke-width="2" fill="none"/> <text x="105" y="160" fill="#38bdf8" font-family="sans-serif" font-size="20" font-weight="bold">Distance Formula</text> <!-- Pythagorean Visual --> <g transform="translate(70, 200)"> <path d="M 0 80 L 100 80 L 100 0 Z" fill="#38bdf811" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 2"/> <text x="50" y="95" fill="#94a3b8" font-family="sans-serif" font-size="12" text-anchor="middle">Δx = |x₂ - x₁|</text> <text x="110" y="45" fill="#94a3b8" font-family="sans-serif" font-size="12" transform="rotate(90, 110, 45)" text-anchor="middle">Δy = |y₂ - y₁|</text> <text x="40" y="35" fill="#f8fafc" font-family="serif" font-size="14" font-style="italic" transform="rotate(-38, 40, 35)">d = √[Δx² + Δy²]</text> </g> <text x="210" y="320" fill="#f8fafc" font-family="serif" font-size="18" text-anchor="middle">d = √((x₂-x₁)² + (y₂-y₁)²)</text> <text x="210" y="345" fill="#94a3b8" font-family="sans-serif" font-size="11" text-anchor="middle">Derived from the Pythagorean Theorem (a² + b² = c²)</text> <!-- Right Card: Midpoint Formula --> <rect x="460" y="120" width="400" height="240" rx="16" fill="#ffffff0a" stroke="#e879f933" stroke-width="1"/> <circle cx="495" cy="155" r="18" fill="#e879f922"/> <circle cx="495" cy="155" r="4" fill="#e879f9"/> <text x="525" y="160" fill="#e879f9" font-family="sans-serif" font-size="20" font-weight="bold">Midpoint Formula</text> <!-- Midpoint Visual --> <g transform="translate(520, 220)"> <line x1="0" y1="60" x2="180" y2="0" stroke="#94a3b8" stroke-width="2"/> <circle cx="0" cy="60" r="4" fill="#f8fafc"/> <circle cx="180" cy="0" r="4" fill="#f8fafc"/> <circle cx="90" cy="30" r="6" fill="#e879f9" filter="url(#glow)"/> <text x="-10" y="80" fill="#94a3b8" font-family="sans-serif" font-size="11" text-anchor="middle">P₁(x₁, y₁)</text> <text x="190" y="-10" fill="#94a3b8" font-family="sans-serif" font-size="11" text-anchor="middle">P₂(x₂, y₂)</text> <text x="110" y="50" fill="#e879f9" font-family="sans-serif" font-size="12" font-weight="bold">M (Average)</text> </g> <text x="660" y="320" fill="#f8fafc" font-family="serif" font-size="18" text-anchor="middle">M = ( [x₁+x₂]/2 , [y₁+y₂]/2 )</text> <text x="660" y="345" fill="#94a3b8" font-family="sans-serif" font-size="11" text-anchor="middle">The arithmetic mean of the coordinates</text> <!-- Bottom Section: Comparison & Circles --> <rect x="40" y="380" width="820" height="150" rx="16" fill="#ffffff05" stroke="#f59e0b33" stroke-width="1"/> <!-- Euclidean vs Manhattan --> <g transform="translate(70, 410)"> <text x="0" y="15" fill="#f59e0b" font-family="sans-serif" font-size="14" font-weight="bold">METRIC COMPARISON</text> <!-- Euclidean --> <g transform="translate(0, 35)"> <rect width="120" height="60" rx="8" fill="#38bdf811"/> <text x="10" y="20" fill="#38bdf8" font-family="sans-serif" font-size="11" font-weight="bold">EUCLIDEAN (L2)</text> <line x1="20" y1="45" x2="100" y2="45" stroke="#38bdf8" stroke-width="2"/> <text x="10" y="75" fill="#94a3b8" font-family="sans-serif" font-size="10">"As the crow flies"</text> </g> <!-- Manhattan --> <g transform="translate(140, 35)"> <rect width="120" height="60" rx="8" fill="#f59e0b11"/> <text x="10" y="20" fill="#f59e0b" font-family="sans-serif" font-size="11" font-weight="bold">MANHATTAN (L1)</text> <path d="M 20 45 L 60 45 L 60 30 L 100 30" fill="none" stroke="#f59e0b" stroke-width="2"/> <text x="10" y="75" fill="#94a3b8" font-family="sans-serif" font-size="10">"Taxicab geometry"</text> </g> </g> <!-- Circle Definition --> <g transform="translate(400, 400)"> <circle cx="280" cy="60" r="45" fill="none" stroke="#f59e0b" stroke-width="2" stroke-dasharray="4 2"/> <circle cx="280" cy="60" r="3" fill="#f59e0b"/> <line x1="280" y1="60" x2="315" y2="30" stroke="#f59e0b" stroke-width="2"/> <text x="305" y="85" fill="#f59e0b" font-family="sans-serif" font-size="14" font-weight="bold" text-anchor="middle">THE CIRCLE</text> <text x="305" y="105" fill="#94a3b8" font-family="serif" font-size="12" font-style="italic" text-anchor="middle">(x - h)² + (y - k)² = r²</text> <text x="60" y="25" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="bold">The Locus of Points</text> <text x="60" y="45" fill="#94a3b8" font-family="sans-serif" font-size="11" width="180"> A circle is defined by the distance formula: </text> <text x="60" y="60" fill="#94a3b8" font-family="sans-serif" font-size="11"> every point (x,y) is exactly distance 'r' </text> <text x="60" y="75" fill="#94a3b8" font-family="sans-serif" font-size="11"> from the center (h,k). </text> </g> <!-- Decorative Accents --> <path d="M 850 50 L 870 50 L 870 70" fill="none" stroke="#38bdf8" stroke-width="2"/> <path d="M 30 510 L 30 530 L 50 530" fill="none" stroke="#e879f9" stroke-width="2"/> </svg>Coordinate Geometry and Circles image 1Coordinate Geometry and Circles - College Algebra - image 1https://www.getlykke.com/explore/public/college-algebra-24ddef04-2a28-48d8-bab2-8ab5d7d2b5a7/media/coordinate-geometry-circles/svg/1Coordinate Geometry and Circles diagram 1Coordinate Geometry and Circles - College Algebra - diagram 1https://www.getlykke.com/explore/public/college-algebra-24ddef04-2a28-48d8-bab2-8ab5d7d2b5a7/media/coordinate-geometry-circles/svg/2Coordinate Geometry and Circles diagram 2Coordinate Geometry and Circles - College Algebra - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Decorative Shapes --> <circle cx="850" cy="50" r="80" fill="#38bdf8" fill-opacity="0.05"/> <path d="M-20 400 L150 580 L-20 580 Z" fill="#e879f9" fill-opacity="0.05"/> <!-- Header --> <text x="450" y="60" text-anchor="middle" font-family="Arial, sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="2">POLYNOMIAL ARITHMETIC</text> <text x="450" y="85" text-anchor="middle" font-family="Arial, sans-serif" font-size="14" fill="#94a3b8" font-style="italic">The Algebraic Foundation of the Ring R[x]</text> <line x1="350" y1="100" x2="550" y2="100" stroke="#38bdf8" stroke-width="2" stroke-linecap="round"/> <!-- Left Card: Anatomy of a Polynomial --> <rect x="40" y="130" width="380" height="180" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="160" font-family="Arial, sans-serif" font-weight="700" font-size="18" fill="#38bdf8">I. ANATOMY OF P(x)</text> <!-- Formula Illustration --> <g transform="translate(70, 210)"> <!-- a_n --> <text x="0" y="20" font-family="serif" font-size="28" fill="#f59e0b" font-weight="bold">a</text> <text x="15" y="28" font-family="serif" font-size="14" fill="#f59e0b">n</text> <!-- x^n --> <text x="35" y="20" font-family="serif" font-size="32" fill="#f8fafc">x</text> <text x="55" y="5" font-family="serif" font-size="18" fill="#e879f9">n</text> <text x="85" y="20" font-family="serif" font-size="24" fill="#94a3b8">+</text> <!-- a_n-1 --> <text x="115" y="20" font-family="serif" font-size="22" fill="#f8fafc">...</text> <text x="155" y="20" font-family="serif" font-size="24" fill="#94a3b8">+</text> <!-- a_0 --> <text x="190" y="20" font-family="serif" font-size="28" fill="#f59e0b" font-weight="bold">a</text> <text x="205" y="28" font-family="serif" font-size="14" fill="#f59e0b">0</text> <!-- Labels --> <path d="M8 35 L8 55" stroke="#f59e0b" stroke-dasharray="2,2"/> <text x="8" y="70" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">COEFFICIENT</text> <path d="M45 35 L45 55" stroke="#f8fafc" stroke-dasharray="2,2"/> <text x="45" y="70" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle">VARIABLE</text> <path d="M62 -5 L80 -20" stroke="#e879f9" stroke-dasharray="2,2"/> <text x="85" y="-25" font-family="Arial, sans-serif" font-size="11" fill="#e879f9">DEGREE</text> </g> <!-- Right Card: Complexity Matrix --> <rect x="440" y="130" width="420" height="180" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="460" y="160" font-family="Arial, sans-serif" font-weight="700" font-size="18" fill="#38bdf8">II. OPERATION COMPLEXITY</text> <g transform="translate(460, 185)"> <!-- Table Header --> <text x="0" y="0" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#94a3b8">OPERATION</text> <text x="150" y="0" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#94a3b8">BIG O</text> <text x="280" y="0" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#94a3b8">IDENTITY</text> <line x1="0" y1="8" x2="380" y2="8" stroke="#ffffff20"/> <!-- Row 1 --> <text x="0" y="30" font-family="Arial, sans-serif" font-size="13" fill="#f8fafc">Addition</text> <text x="150" y="30" font-family="Courier New, monospace" font-size="14" fill="#38bdf8">O(n)</text> <text x="280" y="30" font-family="serif" font-size="14" fill="#f8fafc">0</text> <!-- Row 2 --> <text x="0" y="55" font-family="Arial, sans-serif" font-size="13" fill="#f8fafc">Multiplication</text> <text x="150" y="55" font-family="Courier New, monospace" font-size="14" fill="#38bdf8">O(n²)</text> <text x="280" y="55" font-family="serif" font-size="14" fill="#f8fafc">1</text> <!-- Row 3 --> <text x="0" y="80" font-family="Arial, sans-serif" font-size="13" fill="#f8fafc">Fast Fourier (FFT)</text> <text x="150" y="80" font-family="Courier New, monospace" font-size="14" fill="#e879f9">O(n log n)</text> <text x="280" y="80" font-family="serif" font-size="14" fill="#94a3b8">—</text> </g> <!-- Bottom Card: Factoring Identities --> <rect x="40" y="330" width="820" height="190" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="360" font-family="Arial, sans-serif" font-weight="700" font-size="18" fill="#e879f9">III. ADVANCED FACTORING PATTERNS</text> <!-- Identity 1 --> <g transform="translate(80, 400)"> <rect width="220" height="80" rx="12" fill="#00000030" stroke="#f59e0b40"/> <text x="110" y="25" text-anchor="middle" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8" font-weight="bold">SUM OF CUBES</text> <text x="110" y="55" text-anchor="middle" font-family="serif" font-size="16" fill="#f8fafc">a³ + b³ = (a+b)(a² - ab + b²)</text> </g> <!-- Identity 2 --> <g transform="translate(340, 400)"> <rect width="220" height="80" rx="12" fill="#00000030" stroke="#38bdf840"/> <text x="110" y="25" text-anchor="middle" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8" font-weight="bold">DIFFERENCE OF CUBES</text> <text x="110" y="55" text-anchor="middle" font-family="serif" font-size="16" fill="#f8fafc">a³ - b³ = (a-b)(a² + ab + b²)</text> </g> <!-- Identity 3 --> <g transform="translate(600, 400)"> <rect width="220" height="80" rx="12" fill="#00000030" stroke="#e879f940"/> <text x="110" y="25" text-anchor="middle" font-family="Arial, sans-serif" font-size="12" fill="#94a3b8" font-weight="bold">PERFECT CUBE</text> <text x="110" y="55" text-anchor="middle" font-family="serif" font-size="16" fill="#f8fafc">(a + b)³ = a³ + 3a²b + 3ab² + b³</text> </g> <!-- Footer / Closure Note --> <g transform="translate(450, 540)"> <circle cx="-160" cy="-5" r="4" fill="#38bdf8"/> <text x="-150" y="0" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8">CLOSURE PROPERTY: f(x), g(x) ∈ R[x] ⇒ f(x) * g(x) ∈ R[x]</text> </g> <!-- Visual Accent: Connection lines --> <path d="M420 220 Q440 220 440 220" stroke="#ffffff20" fill="none" stroke-width="2"/> <path d="M450 310 L450 330" stroke="#ffffff20" fill="none" stroke-width="2"/> </svg>Polynomial Arithmetic image 1Polynomial Arithmetic - College Algebra - image 1https://www.getlykke.com/explore/public/college-algebra-24ddef04-2a28-48d8-bab2-8ab5d7d2b5a7/media/polynomial-arithmetic/svg/1Polynomial Arithmetic diagram 1Polynomial Arithmetic - College Algebra - diagram 1https://www.getlykke.com/explore/public/college-algebra-24ddef04-2a28-48d8-bab2-8ab5d7d2b5a7/media/polynomial-arithmetic/svg/2Polynomial Arithmetic diagram 2Polynomial Arithmetic - College Algebra - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="cardGrad" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#ffffff15"/> <stop offset="100%" stop-color="#ffffff05"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> <pattern id="grid" width="30" height="30" patternUnits="userSpaceOnUse"> <path d="M 30 0 L 0 0 0 30" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="450" y="60" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">ADVANCED FUNCTIONS &amp; COMPOSITION</text> <text x="450" y="85" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" font-style="italic">The Architecture of Modular Logic and Interconnected Systems</text> <rect x="400" y="100" width="100" height="4" rx="2" fill="#38bdf8"/> <!-- Panel 1: Piecewise Functions --> <g transform="translate(50, 130)"> <rect width="385" height="185" rx="16" fill="url(#cardGrad)" stroke="#ffffff10" stroke-width="1"/> <text x="20" y="35" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">01. PIECEWISE LOGIC</text> <text x="20" y="55" font-family="sans-serif" font-size="12" fill="#94a3b8">Conditional sub-functions over disjoint domains.</text> <!-- Piecewise Graph Visual --> <g transform="translate(240, 40)"> <line x1="0" y1="100" x2="120" y2="100" stroke="#ffffff20" stroke-width="1"/> <line x1="60" y1="0" x2="60" y2="120" stroke="#ffffff20" stroke-width="1"/> <!-- Piece 1 --> <line x1="10" y1="80" x2="60" y2="80" stroke="#f59e0b" stroke-width="3" filter="url(#glow)"/> <circle cx="60" cy="80" r="4" fill="none" stroke="#f59e0b" stroke-width="2"/> <!-- Piece 2 --> <path d="M 60 50 Q 90 45 110 10" fill="none" stroke="#f59e0b" stroke-width="3" filter="url(#glow)"/> <circle cx="60" cy="50" r="4" fill="#f59e0b"/> </g> <text x="20" y="90" font-family="serif" font-size="16" fill="#f8fafc">f(x) = { g₁(x) if x ∈ D₁</text> <text x="63" y="115" font-family="serif" font-size="16" fill="#f8fafc">g₂(x) if x ∈ D₂</text> <rect x="20" y="140" width="180" height="25" rx="6" fill="#f59e0b20"/> <text x="30" y="157" font-family="sans-serif" font-size="11" font-weight="600" fill="#f59e0b">THRESHOLD BEHAVIOR</text> </g> <!-- Panel 2: Absolute Value --> <g transform="translate(465, 130)"> <rect width="385" height="185" rx="16" fill="url(#cardGrad)" stroke="#ffffff10" stroke-width="1"/> <text x="20" y="35" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">02. ABSOLUTE SYMMETRY</text> <text x="20" y="55" font-family="sans-serif" font-size="12" fill="#94a3b8">Non-differentiable corners and V-shaped hulls.</text> <!-- Abs Graph Visual --> <g transform="translate(240, 40)"> <line x1="0" y1="100" x2="120" y2="100" stroke="#ffffff20" stroke-width="1"/> <line x1="60" y1="0" x2="60" y2="120" stroke="#ffffff20" stroke-width="1"/> <path d="M 20 20 L 60 100 L 100 20" fill="none" stroke="#38bdf8" stroke-width="3" filter="url(#glow)"/> <circle cx="60" cy="100" r="4" fill="#38bdf8"/> <text x="65" y="115" font-family="sans-serif" font-size="10" fill="#38bdf8">Vertex (h,k)</text> </g> <text x="20" y="95" font-family="serif" font-size="18" fill="#f8fafc">g(x) = a|x - h| + k</text> <g transform="translate(20, 120)"> <text x="0" y="15" font-family="sans-serif" font-size="11" fill="#94a3b8">• a: Stretch &amp; Reflection</text> <text x="0" y="35" font-family="sans-serif" font-size="11" fill="#94a3b8">• (h, k): Translation</text> </g> </g> <!-- Panel 3: Function Composition --> <g transform="translate(50, 345)"> <rect width="385" height="185" rx="16" fill="url(#cardGrad)" stroke="#ffffff10" stroke-width="1"/> <text x="20" y="35" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">03. COMPOSITION CHAIN</text> <text x="20" y="55" font-family="sans-serif" font-size="12" fill="#94a3b8">The output of one becomes the input of another.</text> <!-- Composition Visual --> <g transform="translate(40, 90)"> <rect x="0" y="0" width="60" height="40" rx="8" fill="#ffffff10" stroke="#e879f9" stroke-width="2"/> <text x="30" y="25" text-anchor="middle" font-family="serif" font-size="16" fill="#f8fafc">g(x)</text> <path d="M 65 20 L 105 20" stroke="#e879f9" stroke-width="2" marker-end="url(#arrow)"/> <polygon points="105,20 95,15 95,25" fill="#e879f9"/> <rect x="110" y="0" width="60" height="40" rx="8" fill="#ffffff10" stroke="#e879f9" stroke-width="2"/> <text x="140" y="25" text-anchor="middle" font-family="serif" font-size="16" fill="#f8fafc">f(u)</text> <path d="M 175 20 L 215 20" stroke="#e879f9" stroke-width="2"/> <polygon points="215,20 205,15 205,25" fill="#e879f9"/> <text x="225" y="25" font-family="serif" font-size="16" fill="#f8fafc">f(g(x))</text> </g> <text x="20" y="160" font-family="sans-serif" font-size="11" fill="#94a3b8">Notation: (f ∘ g)(x) — read as "f of g of x"</text> </g> <!-- Panel 4: Inverses --> <g transform="translate(465, 345)"> <rect width="385" height="185" rx="16" fill="url(#cardGrad)" stroke="#ffffff10" stroke-width="1"/> <text x="20" y="35" font-family="sans-serif" font-weight="700" font-size="18" fill="#2dd4bf">04. INVERSE VERIFICATION</text> <text x="20" y="55" font-family="sans-serif" font-size="12" fill="#94a3b8">Reflection across the identity line y = x.</text> <!-- Inverse Graph Visual --> <g transform="translate(240, 40)"> <line x1="0" y1="100" x2="120" y2="100" stroke="#ffffff20" stroke-width="1"/> <line x1="60" y1="0" x2="60" y2="120" stroke="#ffffff20" stroke-width="1"/> <!-- y=x line --> <line x1="20" y1="110" x2="100" y2="30" stroke="#ffffff40" stroke-width="1" stroke-dasharray="4"/> <!-- f(x) --> <path d="M 60 100 Q 80 100 110 40" fill="none" stroke="#2dd4bf" stroke-width="3" filter="url(#glow)"/> <!-- f-1(x) --> <path d="M 60 100 Q 60 80 120 50" fill="none" stroke="#2dd4bf" stroke-width="3" stroke-opacity="0.5"/> </g> <text x="20" y="95" font-family="serif" font-size="16" fill="#f8fafc">f(f⁻¹(x)) = x</text> <g transform="translate(20, 120)"> <text x="0" y="15" font-family="sans-serif" font-size="11" fill="#94a3b8">• Must be One-to-One</text> <text x="0" y="35" font-family="sans-serif" font-size="11" fill="#94a3b8">• Domain/Range Swap</text> </g> </g> <!-- Decorative Accents --> <circle cx="850" cy="50" r="20" fill="#e879f910" stroke="#e879f940" stroke-width="1"/> <circle cx="850" cy="50" r="10" fill="#e879f920"/> <path d="M 50 530 L 850 530" stroke="#ffffff10" stroke-width="1"/> <text x="450" y="545" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#475569" letter-spacing="2">MATHEMATICAL ARCHITECTURE SERIES • VOL IV</text> </svg>Advanced Functions and Composition image 1Advanced Functions and Composition - College Algebra - image 1https://www.getlykke.com/explore/public/college-algebra-24ddef04-2a28-48d8-bab2-8ab5d7d2b5a7/media/advanced-functions-composition/svg/1Advanced Functions and Composition diagram 1Advanced Functions and Composition - College Algebra - diagram 1https://www.getlykke.com/explore/public/college-algebra-24ddef04-2a28-48d8-bab2-8ab5d7d2b5a7/media/advanced-functions-composition/svg/2Advanced Functions and Composition diagram 2Advanced Functions and Composition - College Algebra - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <!-- Background and Definitions --> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Base Layer --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">THE ANATOMY OF FUNCTION TRANSFORMATIONS</text> <text x="450" y="75" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" font-style="italic">Mapping the Parent Function: g(x) = a · f(b(x - h)) + k</text> <!-- Central Formula Card --> <rect x="150" y="100" width="600" height="100" rx="20" fill="#ffffff10" stroke="#ffffff20" stroke-width="1"/> <text x="450" y="165" text-anchor="middle" font-family="serif" font-size="48" font-weight="bold" fill="#f8fafc"> g(x) = <tspan fill="#e879f9">a</tspan> · f(<tspan fill="#38bdf8">b</tspan>(x - <tspan fill="#f59e0b">h</tspan>)) + <tspan fill="#10b981">k</tspan> </text> <!-- Left Column: External (Output) --> <g transform="translate(50, 220)"> <rect width="385" height="140" rx="16" fill="#ffffff08" stroke="#e879f940" stroke-width="1"/> <text x="20" y="30" font-family="sans-serif" font-weight="bold" font-size="18" fill="#e879f9">EXTERNAL OPERATORS (Y-AXIS)</text> <text x="20" y="55" font-family="sans-serif" font-size="13" fill="#94a3b8">Affects the output values directly. Intuitive behavior.</text> <!-- Parameter a --> <circle cx="35" cy="85" r="12" fill="#e879f920" stroke="#e879f9" stroke-width="2"/> <text x="35" y="90" text-anchor="middle" font-family="serif" font-weight="bold" font-size="14" fill="#e879f9">a</text> <text x="55" y="85" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Vertical Dilation &amp; Reflection</text> <text x="55" y="100" font-family="sans-serif" font-size="11" fill="#94a3b8">|a| &gt; 1: Stretch | |a| &lt; 1: Compress | a &lt; 0: Flip over X</text> <!-- Parameter k --> <circle cx="35" cy="120" r="12" fill="#10b98120" stroke="#10b981" stroke-width="2"/> <text x="35" y="125" text-anchor="middle" font-family="serif" font-weight="bold" font-size="14" fill="#10b981">k</text> <text x="55" y="120" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Vertical Translation (Shift)</text> <text x="55" y="135" font-family="sans-serif" font-size="11" fill="#94a3b8">+k: Moves UP | -k: Moves DOWN</text> </g> <!-- Right Column: Internal (Input) --> <g transform="translate(465, 220)"> <rect width="385" height="140" rx="16" fill="#ffffff08" stroke="#38bdf840" stroke-width="1"/> <text x="20" y="30" font-family="sans-serif" font-weight="bold" font-size="18" fill="#38bdf8">INTERNAL OPERATORS (X-AXIS)</text> <text x="20" y="55" font-family="sans-serif" font-size="13" fill="#94a3b8">Affects input before function evaluation. Inverse behavior.</text> <!-- Parameter b --> <circle cx="35" cy="85" r="12" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <text x="35" y="90" text-anchor="middle" font-family="serif" font-weight="bold" font-size="14" fill="#38bdf8">b</text> <text x="55" y="85" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Horizontal Dilation &amp; Reflection</text> <text x="55" y="100" font-family="sans-serif" font-size="11" fill="#94a3b8">|b| &gt; 1: Compress | |b| &lt; 1: Stretch | b &lt; 0: Flip over Y</text> <!-- Parameter h --> <circle cx="35" cy="120" r="12" fill="#f59e0b20" stroke="#f59e0b" stroke-width="2"/> <text x="35" y="125" text-anchor="middle" font-family="serif" font-weight="bold" font-size="14" fill="#f59e0b">h</text> <text x="55" y="120" font-family="sans-serif" font-size="13" font-weight="bold" fill="#f8fafc">Horizontal Translation (Shift)</text> <text x="55" y="135" font-family="sans-serif" font-size="11" fill="#94a3b8">(x - 3): Moves RIGHT | (x + 3): Moves LEFT</text> </g> <!-- Bottom Visual Comparison --> <g transform="translate(50, 380)"> <rect width="800" height="150" rx="16" fill="#ffffff05" stroke="#ffffff10" stroke-width="1"/> <!-- Mini Graph --> <g transform="translate(60, 75)"> <!-- Axes --> <line x1="-40" y1="0" x2="180" y2="0" stroke="#94a3b8" stroke-width="1" stroke-dasharray="2,2"/> <line x1="0" y1="-50" x2="0" y2="50" stroke="#94a3b8" stroke-width="1" stroke-dasharray="2,2"/> <!-- Parent Function (x^2) --> <path d="M -30 45 Q 0 0 30 45" fill="none" stroke="#94a3b8" stroke-width="2" opacity="0.5"/> <text x="35" y="55" font-family="serif" font-size="10" fill="#94a3b8">f(x) = x²</text> <!-- Transformed Function --> <path d="M 70 25 Q 100 -20 130 25" fill="none" stroke="#f59e0b" stroke-width="3" filter="url(#glow)"/> <circle cx="100" cy="-20" r="4" fill="#10b981"/> <text x="110" y="-25" font-family="serif" font-size="12" font-weight="bold" fill="#f8fafc">g(x) = -0.5(x - 100)² + 20</text> <!-- Arrows --> <path d="M 5 0 L 90 0" fill="none" stroke="#f59e0b" stroke-width="1" marker-end="url(#arrow)"/> <path d="M 100 0 L 100 -15" fill="none" stroke="#10b981" stroke-width="1" marker-end="url(#arrow)"/> </g> <!-- Summary Text --> <g transform="translate(350, 30)"> <text x="0" y="0" font-family="sans-serif" font-weight="bold" font-size="16" fill="#f8fafc">THE COUNTER-INTUITIVE PRINCIPLE</text> <text x="0" y="25" font-family="sans-serif" font-size="13" fill="#94a3b8" width="400"> Internal changes (inside the parentheses) act <tspan fill="#f59e0b" font-weight="bold">inversely</tspan> to the operation. </text> <rect x="0" y="45" width="420" height="60" rx="8" fill="#00000030"/> <text x="15" y="65" font-family="sans-serif" font-size="12" fill="#f8fafc">• Adding <tspan fill="#f59e0b">h</tspan> moves the graph <tspan font-weight="bold">Left</tspan>, Subtracting moves it <tspan font-weight="bold">Right</tspan>.</text> <text x="15" y="85" font-family="sans-serif" font-size="12" fill="#f8fafc">• Multiplying by <tspan fill="#38bdf8">b &gt; 1</tspan> <tspan font-weight="bold">Shrinks</tspan> the graph horizontally.</text> </g> </g> <!-- Markers --> <defs> <marker id="arrow" viewBox="0 0 10 10" refX="5" refY="5" markerWidth="6" markerHeight="6" orient="auto-start-reverse"> <path d="M 0 0 L 10 5 L 0 10 z" fill="context-fill" /> </marker> </defs> </svg>Function Transformations image 1Function Transformations - College Algebra - image 1https://www.getlykke.com/explore/public/college-algebra-24ddef04-2a28-48d8-bab2-8ab5d7d2b5a7/media/function-transformations/svg/1Function Transformations diagram 1Function Transformations - College Algebra - diagram 1https://www.getlykke.com/explore/public/college-algebra-24ddef04-2a28-48d8-bab2-8ab5d7d2b5a7/media/function-transformations/svg/2Function Transformations diagram 2Function Transformations - College Algebra - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">RATIONAL EXPONENTS &amp; RADICALS</text> <rect x="350" y="65" width="200" height="2" fill="url(#accentGrad)"/> <text x="450" y="88" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" letter-spacing="2">THE UNIFICATION OF POWERS AND ROOTS</text> <!-- Central Theorem Card --> <rect x="230" y="120" width="440" height="130" rx="20" fill="#ffffff10" stroke="#ffffff20" stroke-width="1"/> <text x="450" y="150" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="14" fill="#38bdf8">THE RATIONAL EXPONENT THEOREM</text> <!-- Math Formula: a^(m/n) = n-root(a^m) --> <g font-family="serif" fill="#f59e0b" filter="url(#glow)"> <text x="360" y="205" font-size="48">a</text> <text x="385" y="185" font-size="22">m/n</text> <text x="435" y="205" font-size="42" fill="#f8fafc">=</text> <text x="485" y="185" font-size="20">n</text> <path d="M 500 210 L 510 210 L 525 170 L 590 170" fill="none" stroke="#f59e0b" stroke-width="3"/> <text x="530" y="205" font-size="40">a</text> <text x="555" y="185" font-size="20">m</text> </g> <text x="450" y="235" text-anchor="middle" font-family="sans-serif" font-size="12" fill="#94a3b8">Where n &gt; 0 and a is a real number</text> <!-- Left Panel: Notation Comparison --> <rect x="40" y="270" width="390" height="250" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="65" y="305" font-family="sans-serif" font-weight="bold" font-size="18" fill="#e879f9">Laws of Exponents</text> <g font-family="sans-serif" font-size="13"> <!-- Header --> <text x="65" y="335" fill="#94a3b8" font-weight="bold">Property</text> <text x="200" y="335" fill="#94a3b8" font-weight="bold">Rational Notation</text> <line x1="65" y1="345" x2="410" y2="345" stroke="#ffffff20" stroke-width="1"/> <!-- Row 1 --> <text x="65" y="375" fill="#f8fafc">Product</text> <text x="200" y="375" fill="#f8fafc">a¹/ⁿ · b¹/ⁿ = (ab)¹/ⁿ</text> <!-- Row 2 --> <text x="65" y="415" fill="#f8fafc">Quotient</text> <text x="200" y="415" fill="#f8fafc">a¹/ⁿ / b¹/ⁿ = (a/b)¹/ⁿ</text> <!-- Row 3 --> <text x="65" y="455" fill="#f8fafc">Power</text> <text x="200" y="455" fill="#f8fafc">(a¹/ⁿ)¹/ᵐ = a¹/ⁿᵐ</text> <!-- Row 4 --> <text x="65" y="495" fill="#f8fafc">Negative</text> <text x="200" y="495" fill="#f8fafc">a⁻¹/ⁿ = 1 / a¹/ⁿ</text> </g> <!-- Right Panel: Solving Pipeline --> <rect x="470" y="270" width="390" height="250" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="495" y="305" font-family="sans-serif" font-weight="bold" font-size="18" fill="#38bdf8">The Solving Pipeline</text> <g font-family="sans-serif"> <!-- Step 1 --> <circle cx="510" cy="345" r="12" fill="#38bdf8"/> <text x="510" y="350" text-anchor="middle" font-size="12" font-weight="bold" fill="#0f172a">1</text> <text x="535" y="342" font-size="14" font-weight="bold" fill="#f8fafc">ISOLATE</text> <text x="535" y="358" font-size="12" fill="#94a3b8">Move the radical to one side of the equation.</text> <!-- Step 2 --> <circle cx="510" cy="390" r="12" fill="#38bdf8"/> <text x="510" y="395" text-anchor="middle" font-size="12" font-weight="bold" fill="#0f172a">2</text> <text x="535" y="387" font-size="14" font-weight="bold" fill="#f8fafc">RAISE</text> <text x="535" y="403" font-size="12" fill="#94a3b8">Raise both sides to the power of the index.</text> <!-- Step 3 --> <circle cx="510" cy="435" r="12" fill="#38bdf8"/> <text x="510" y="440" text-anchor="middle" font-size="12" font-weight="bold" fill="#0f172a">3</text> <text x="535" y="432" font-size="14" font-weight="bold" fill="#f8fafc">SOLVE</text> <text x="535" y="448" font-size="12" fill="#94a3b8">Solve the resulting linear or quadratic eq.</text> <!-- Step 4 --> <circle cx="510" cy="480" r="12" fill="#f59e0b"/> <text x="510" y="485" text-anchor="middle" font-size="12" font-weight="bold" fill="#0f172a">4</text> <text x="535" y="477" font-size="14" font-weight="bold" fill="#f8fafc">VERIFY</text> <text x="535" y="493" font-size="12" fill="#94a3b8">Check for extraneous solutions (false roots).</text> </g> <!-- Decorative Accents --> <path d="M 40 100 L 200 100" stroke="url(#accentGrad)" stroke-width="1" stroke-dasharray="4 4"/> <path d="M 700 100 L 860 100" stroke="url(#accentGrad)" stroke-width="1" stroke-dasharray="4 4"/> <circle cx="40" cy="100" r="3" fill="#38bdf8"/> <circle cx="860" cy="100" r="3" fill="#e879f9"/> <!-- Small Info Tags --> <rect x="750" y="20" width="110" height="24" rx="12" fill="#38bdf820" stroke="#38bdf8" stroke-width="1"/> <text x="805" y="36" text-anchor="middle" font-family="sans-serif" font-size="10" font-weight="bold" fill="#38bdf8">ALGEBRA II / STEM</text> </svg>Rational Exponents and Radicals image 1Rational Exponents and Radicals - College Algebra - image 1https://www.getlykke.com/explore/public/pedagogical-overview-of-openstax-college-algebra-1e489698-049b-41e4-aece-129b8441d18d2026-04-20T04:39:10.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Header Section --> <text x="450" y="50" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="32" font-weight="800" letter-spacing="-0.5">THE ARCHITECTURE OF OPEN KNOWLEDGE</text> <text x="450" y="75" text-anchor="middle" fill="#38bdf8" font-family="sans-serif" font-size="16" font-weight="600" letter-spacing="2">OER FRAMEWORKS &amp; QUALITY ASSURANCE</text> <line x1="350" y1="85" x2="550" y2="85" stroke="#38bdf8" stroke-width="2" opacity="0.5"/> <!-- Left Panel: The 5R Framework --> <rect x="30" y="110" width="260" height="420" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="50" y="145" fill="#f59e0b" font-family="sans-serif" font-size="18" font-weight="bold">THE 5R PERMISSIONS</text> <g transform="translate(50, 170)"> <!-- R1 --> <circle cx="15" cy="15" r="12" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1.5"/> <text x="15" y="20" text-anchor="middle" fill="#f59e0b" font-family="sans-serif" font-size="12" font-weight="bold">1</text> <text x="40" y="15" fill="#f8fafc" font-family="sans-serif" font-size="15" font-weight="bold">RETAIN</text> <text x="40" y="32" fill="#94a3b8" font-family="sans-serif" font-size="11">Make, own, and control copies.</text> <!-- R2 --> <g transform="translate(0, 55)"> <circle cx="15" cy="15" r="12" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1.5"/> <text x="15" y="20" text-anchor="middle" fill="#f59e0b" font-family="sans-serif" font-size="12" font-weight="bold">2</text> <text x="40" y="15" fill="#f8fafc" font-family="sans-serif" font-size="15" font-weight="bold">REUSE</text> <text x="40" y="32" fill="#94a3b8" font-family="sans-serif" font-size="11">Use in class, website, or video.</text> </g> <!-- R3 --> <g transform="translate(0, 110)"> <circle cx="15" cy="15" r="12" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1.5"/> <text x="15" y="20" text-anchor="middle" fill="#f59e0b" font-family="sans-serif" font-size="12" font-weight="bold">3</text> <text x="40" y="15" fill="#f8fafc" font-family="sans-serif" font-size="15" font-weight="bold">REVISE</text> <text x="40" y="32" fill="#94a3b8" font-family="sans-serif" font-size="11">Adapt, adjust, or modify content.</text> </g> <!-- R4 --> <g transform="translate(0, 165)"> <circle cx="15" cy="15" r="12" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1.5"/> <text x="15" y="20" text-anchor="middle" fill="#f59e0b" font-family="sans-serif" font-size="12" font-weight="bold">4</text> <text x="40" y="15" fill="#f8fafc" font-family="sans-serif" font-size="15" font-weight="bold">REMIX</text> <text x="40" y="32" fill="#94a3b8" font-family="sans-serif" font-size="11">Combine with other materials.</text> </g> <!-- R5 --> <g transform="translate(0, 220)"> <circle cx="15" cy="15" r="12" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1.5"/> <text x="15" y="20" text-anchor="middle" fill="#f59e0b" font-family="sans-serif" font-size="12" font-weight="bold">5</text> <text x="40" y="15" fill="#f8fafc" font-family="sans-serif" font-size="15" font-weight="bold">REDISTRIBUTE</text> <text x="40" y="32" fill="#94a3b8" font-family="sans-serif" font-size="11">Share copies with others.</text> </g> </g> <!-- Middle Panel: Peer Review Pipeline --> <rect x="310" y="110" width="280" height="420" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="330" y="145" fill="#e879f9" font-family="sans-serif" font-size="18" font-weight="bold">QUALITY PIPELINE</text> <g transform="translate(330, 170)"> <!-- Step 1 --> <rect width="240" height="50" rx="8" fill="#ffffff10" stroke="#e879f9" stroke-dasharray="4 2"/> <text x="10" y="22" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="bold">1. SME Recruitment</text> <text x="10" y="38" fill="#94a3b8" font-family="sans-serif" font-size="11">Verified credentialed experts.</text> <!-- Arrow --> <path d="M120 50 L120 65" stroke="#e879f9" stroke-width="2" marker-end="url(#arrowhead)"/> <!-- Step 2 --> <g transform="translate(0, 75)"> <rect width="240" height="50" rx="8" fill="#ffffff10" stroke="#e879f9"/> <text x="10" y="22" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="bold">2. Blind Peer Review</text> <text x="10" y="38" fill="#94a3b8" font-family="sans-serif" font-size="11">Anonymized pedagogical audit.</text> </g> <!-- Step 3 --> <g transform="translate(0, 150)"> <rect width="240" height="50" rx="8" fill="#ffffff10" stroke="#e879f9"/> <text x="10" y="22" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="bold">3. DEI &amp; Context Audit</text> <text x="10" y="38" fill="#94a3b8" font-family="sans-serif" font-size="11">Global inclusivity check.</text> </g> <!-- Step 4 --> <g transform="translate(0, 225)"> <rect width="240" height="50" rx="8" fill="#ffffff10" stroke="#e879f9" stroke-width="2"/> <text x="10" y="22" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="bold">4. Mathematical Verification</text> <text x="10" y="38" fill="#94a3b8" font-family="sans-serif" font-size="11">Independent check-author solving.</text> </g> <!-- Formula Box --> <g transform="translate(0, 300)"> <rect width="240" height="45" rx="8" fill="#38bdf815" stroke="#38bdf850"/> <text x="120" y="28" text-anchor="middle" fill="#38bdf8" font-family="serif" font-size="16" font-style="italic">P(error) = pⁿ &lt; 0.3%</text> </g> </g> <!-- Right Panel: Continuous Integration --> <rect x="610" y="110" width="260" height="420" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="630" y="145" fill="#38bdf8" font-family="sans-serif" font-size="18" font-weight="bold">LIVING DOCUMENT</text> <g transform="translate(740, 280)"> <!-- Circular Workflow --> <circle r="80" fill="none" stroke="#38bdf830" stroke-width="1" stroke-dasharray="5 5"/> <circle r="40" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <text y="5" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="12" font-weight="bold">GOLD</text> <text y="20" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="12" font-weight="bold">MASTER</text> <!-- Feedback Nodes --> <g transform="rotate(-60) translate(80, 0)"> <circle r="15" fill="#1e1b4b" stroke="#38bdf8" stroke-width="2"/> <path d="M-5 0 L5 0 M0 -5 L0 5" stroke="#38bdf8" stroke-width="2"/> </g> <text x="740" y="200" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="12" font-weight="bold">Errata Submission</text> <g transform="rotate(60) translate(80, 0)"> <circle r="15" fill="#1e1b4b" stroke="#38bdf8" stroke-width="2"/> <path d="M-5 -2 L0 3 L5 -2" fill="none" stroke="#38bdf8" stroke-width="2"/> </g> <text x="740" y="375" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="12" font-weight="bold">SME Verification</text> <g transform="rotate(180) translate(80, 0)"> <circle r="15" fill="#1e1b4b" stroke="#38bdf8" stroke-width="2"/> <path d="M-4 -4 L4 4 M-4 4 L4 -4" stroke="#38bdf8" stroke-width="2"/> </g> <text x="645" y="285" text-anchor="end" fill="#94a3b8" font-family="sans-serif" font-size="11">Continuous</text> <text x="645" y="300" text-anchor="end" fill="#94a3b8" font-family="sans-serif" font-size="11">Updates</text> </g> <text x="740" y="440" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="12" font-style="italic">Unlike static print editions,</text> <text x="740" y="458" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="12" font-style="italic">OER evolves in real-time.</text> <!-- Footer --> <rect x="30" y="540" width="840" height="1" fill="#ffffff20"/> <text x="30" y="555" fill="#64748b" font-family="sans-serif" font-size="10">OPENSTAX COLLEGE ALGEBRA 2E • TECHNICAL INFRASTRUCTURE OVERVIEW • CC BY 4.0</text> </svg>Open Educational Resources and Peer Review image 1Open Educational Resources and Peer Review - Pedagogical Overview of OpenStax College Algebra 2e - image 1https://www.getlykke.com/explore/public/pedagogical-overview-of-openstax-college-algebra-1e489698-049b-41e4-aece-129b8441d18d/media/oer-and-peer-review/svg/1Open Educational Resources and Peer Review diagram 1Open Educational Resources and Peer Review - Pedagogical Overview of OpenStax College Algebra 2e - diagram 1<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2.5" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" 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1https://www.getlykke.com/explore/public/pedagogical-overview-of-openstax-college-algebra-1e489698-049b-41e4-aece-129b8441d18d/media/modular-course-design/svg/2Modular Course Structure diagram 2Modular Course Structure - Pedagogical Overview of OpenStax College Algebra 2e - diagram 2https://www.getlykke.com/explore/public/pedagogical-overview-of-openstax-college-algebra-1e489698-049b-41e4-aece-129b8441d18d/media/modular-course-design/svg/3Modular Course Structure diagram 3Modular Course Structure - Pedagogical Overview of OpenStax College Algebra 2e - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" 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fill="#38bdf8">I. THE TAXONOMY OF READERS</text> <!-- Expert Card --> <rect x="40" y="145" width="200" height="180" rx="12" fill="url(#cardGrad)" stroke="#f59e0b" stroke-width="1" stroke-opacity="0.5"/> <circle cx="140" cy="180" r="20" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1.5"/> <path d="M 132 180 L 148 180 M 140 172 L 140 188" stroke="#f59e0b" stroke-width="2"/> <!-- Simple Atom/Scope Icon --> <text x="140" y="215" text-anchor="middle" font-family="Arial, sans-serif" font-size="16" font-weight="bold" fill="#f59e0b">EXPERTS</text> <text x="140" y="235" text-anchor="middle" font-family="Arial, sans-serif" font-size="11" fill="#cbd5e1">High Knowledge Base</text> <text x="55" y="260" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8"> <tspan x="55" dy="12">• Raw Data &amp; Formulas</tspan> <tspan x="55" dy="12">• Theoretical Depth</tspan> <tspan x="55" dy="12">• Peer-Review Level</tspan> </text> <!-- Technician Card --> <rect x="250" y="145" width="200" height="180" rx="12" fill="url(#cardGrad)" stroke="#38bdf8" stroke-width="1" stroke-opacity="0.5"/> <circle cx="350" cy="180" r="20" fill="#38bdf820" stroke="#38bdf8" stroke-width="1.5"/> <path d="M 342 175 L 358 185 M 342 185 L 358 175" stroke="#38bdf8" stroke-width="2"/> <!-- Simple Tool Icon --> <text x="350" y="215" text-anchor="middle" font-family="Arial, sans-serif" font-size="16" font-weight="bold" fill="#38bdf8">TECHNICIANS</text> <text x="350" y="235" text-anchor="middle" font-family="Arial, sans-serif" font-size="11" fill="#cbd5e1">Practical Application</text> <text x="265" y="260" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8"> <tspan x="265" dy="12">• Clear Procedures</tspan> <tspan x="265" dy="12">• Troubleshooting Tables</tspan> <tspan x="265" dy="12">• "How-to" Focus</tspan> </text> <!-- Executive Card --> <rect x="460" y="145" width="200" height="180" rx="12" fill="url(#cardGrad)" stroke="#e879f9" stroke-width="1" stroke-opacity="0.5"/> <circle cx="560" cy="180" r="20" fill="#e879f920" stroke="#e879f9" stroke-width="1.5"/> <rect x="552" y="172" width="16" height="16" fill="none" stroke="#e879f9" stroke-width="2"/> <!-- Simple Chart Icon --> <text x="560" y="215" text-anchor="middle" font-family="Arial, sans-serif" font-size="16" font-weight="bold" fill="#e879f9">EXECUTIVES</text> <text x="560" y="235" text-anchor="middle" font-family="Arial, sans-serif" font-size="11" fill="#cbd5e1">Decision-Making</text> <text x="475" y="260" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8"> <tspan x="475" dy="12">• High-Level Summaries</tspan> <tspan x="475" dy="12">• ROI &amp; Risk Assessment</tspan> <tspan x="475" dy="12">• Bottom-line Impact</tspan> </text> <!-- Nonspecialist Card --> <rect x="670" y="145" width="200" height="180" rx="12" fill="url(#cardGrad)" stroke="#4ade80" stroke-width="1" stroke-opacity="0.5"/> <circle cx="770" cy="180" r="20" fill="#4ade8020" stroke="#4ade80" stroke-width="1.5"/> <circle cx="770" cy="176" r="6" fill="none" stroke="#4ade80" stroke-width="2"/> <path d="M 760 190 Q 770 185 780 190" fill="none" stroke="#4ade80" stroke-width="2"/> <!-- Simple User Icon --> <text x="770" y="215" text-anchor="middle" font-family="Arial, sans-serif" font-size="16" font-weight="bold" fill="#4ade80">NONSPECIALISTS</text> <text x="770" y="235" text-anchor="middle" font-family="Arial, sans-serif" font-size="11" fill="#cbd5e1">General Usage</text> <text x="685" y="260" font-family="Arial, sans-serif" font-size="10" fill="#94a3b8"> <tspan x="685" dy="12">• Plain Language</tspan> <tspan x="685" dy="12">• Analogies &amp; Definitions</tspan> <tspan x="685" dy="12">• Accessibility First</tspan> </text> <!-- Adaptation Mechanics Section --> <text x="40" y="365" font-family="Arial, sans-serif" font-size="18" font-weight="bold" fill="#38bdf8">II. ADAPTATION MECHANICS</text> <!-- Signal-to-Noise Ratio (SNR) --> <rect x="40" y="380" width="410" height="150" rx="12" fill="#ffffff08" stroke="#ffffff20"/> <text x="60" y="405" font-family="Arial, sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">Information Filtering (SNR)</text> <!-- Funnel Graphic --> <path d="M 60 420 L 140 420 L 110 480 L 90 480 Z" fill="#38bdf820" stroke="#38bdf8" stroke-width="1"/> <text x="100" y="415" text-anchor="middle" font-family="Arial, sans-serif" font-size="9" fill="#94a3b8">RAW DATA</text> <circle cx="100" cy="495" r="5" fill="#38bdf8" filter="url(#glow)"/> <text x="100" y="515" text-anchor="middle" font-family="Arial, sans-serif" font-size="9" fill="#38bdf8">SIGNAL</text> <text x="160" y="435" font-family="Arial, sans-serif" font-size="11" fill="#cbd5e1" width="250"> <tspan x="160" dy="0">Maximizing the Signal-to-Noise Ratio:</tspan> <tspan x="160" dy="15" fill="#94a3b8">Experts need the "Noise" (Methodology)</tspan> <tspan x="160" dy="15" fill="#94a3b8">Executives need only the "Signal" (Results)</tspan> <tspan x="160" dy="25" fill="#f59e0b" font-weight="bold">Goal: Minimize Cognitive Load</tspan> </text> <!-- Jargon Translation Theorem --> <rect x="460" y="380" width="410" height="150" rx="12" fill="#ffffff08" stroke="#ffffff20"/> <text x="480" y="405" font-family="Arial, sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">The Jargon Translation Theorem</text> <rect x="480" y="420" width="370" height="50" rx="8" fill="#00000040"/> <text x="665" y="450" text-anchor="middle" font-family="Courier New, monospace" font-size="14" fill="#e879f9" font-weight="bold"> If Expertise (E) &lt; Threshold: T → D </text> <text x="480" y="490" font-family="Arial, sans-serif" font-size="11" fill="#94a3b8"> <tspan x="480" dy="0">Replace Technical Term (T) with a Functional</tspan> <tspan x="480" dy="15">Definition (D) or Analogy (A) to bridge the</tspan> <tspan x="480" dy="15">conceptual gap for nonspecialist readers.</tspan> </text> <!-- Decorative elements --> <circle cx="850" cy="50" r="30" fill="none" stroke="#38bdf8" stroke-width="0.5" stroke-dasharray="2 2"/> <circle cx="850" cy="50" r="20" fill="none" stroke="#e879f9" stroke-width="0.5" stroke-dasharray="4 4"/> <path d="M 880 540 L 890 550 M 870 550 L 890 530" stroke="#ffffff20" stroke-width="1"/> </svg>Audience Analysis and Adaptation image 1Audience Analysis and Adaptation - Technical Writing - image 1https://www.getlykke.com/explore/public/technical-writing-fad6a22a-e276-4a4f-ad6d-c3d059a20b0b/media/audience-analysis/svg/1Audience Analysis and Adaptation diagram 1Audience Analysis and Adaptation - Technical Writing - diagram 1https://www.getlykke.com/explore/public/technical-writing-fad6a22a-e276-4a4f-ad6d-c3d059a20b0b/media/audience-analysis/svg/2Audience Analysis and Adaptation diagram 2Audience Analysis and Adaptation - Technical Writing - diagram 2https://www.getlykke.com/explore/public/technical-writing-fad6a22a-e276-4a4f-ad6d-c3d059a20b0b/media/audience-analysis/svg/3Audience Analysis and Adaptation diagram 3Audience Analysis and Adaptation - Technical Writing - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <!-- Subtle Grid Lines --> <path d="M 50 0 L 50 560 M 850 0 L 850 560" stroke="#ffffff05" stroke-width="1"/> <path d="M 0 100 L 900 100 M 0 460 L 900 460" stroke="#ffffff05" stroke-width="1"/> <!-- Header --> <text x="50" y="60" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">PROPOSALS &amp; THE TECHNICAL REPORT PROCESS</text> <text x="50" y="85" font-family="sans-serif" font-size="14" fill="#94a3b8" letter-spacing="1">A STRATEGIC FRAMEWORK FOR PROBLEM-SOLUTION ALIGNMENT</text> <rect x="50" y="95" width="120" height="4" fill="url(#accentGrad)" rx="2"/> <!-- Left Column: Taxonomy --> <rect x="50" y="120" width="260" height="320" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="70" y="150" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">1. TAXONOMY</text> <!-- Solicited --> <g transform="translate(70, 175)"> <rect width="220" height="100" rx="8" fill="#ffffff05"/> <circle cx="20" cy="25" r="12" fill="#38bdf820" stroke="#38bdf8" stroke-width="1"/> <path d="M 16 25 L 24 25 M 20 21 L 20 29" stroke="#38bdf8" stroke-width="2"/> <text x="40" y="25" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Solicited (RFP/RFQ)</text> <text x="15" y="50" font-family="sans-serif" font-size="11" fill="#94a3b8"> <tspan x="15" dy="1.2em">• Direct response to client need</tspan> <tspan x="15" dy="1.2em">• Focus: Compliance &amp; Methodology</tspan> <tspan x="15" dy="1.2em">• Lower risk; budget is allocated</tspan> </text> </g> <!-- Unsolicited --> <g transform="translate(70, 290)"> <rect width="220" height="100" rx="8" fill="#ffffff05"/> <circle cx="20" cy="25" r="12" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1"/> <path d="M 15 25 Q 20 15 25 25" fill="none" stroke="#f59e0b" stroke-width="2"/> <text x="40" y="25" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Unsolicited</text> <text x="15" y="50" font-family="sans-serif" font-size="11" fill="#94a3b8"> <tspan x="15" dy="1.2em">• Identifying "latent" pain points</tspan> <tspan x="15" dy="1.2em">• Focus: Persuasion &amp; ROI</tspan> <tspan x="15" dy="1.2em">• Higher risk; "Cold call" approach</tspan> </text> </g> <!-- Center Column: The Decision Engine --> <rect x="320" y="120" width="260" height="320" rx="16" fill="#ffffff12" stroke="#ffffff20"/> <text x="450" y="150" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9" text-anchor="middle">2. THE GO/NO-GO GATE</text> <!-- Decision Diamond --> <g transform="translate(450, 240)"> <path d="M 0 -50 L 60 0 L 0 50 L -60 0 Z" fill="#1e1b4b" stroke="#e879f9" stroke-width="2" filter="glow"/> <text y="5" font-family="sans-serif" font-weight="700" font-size="13" fill="#f8fafc" text-anchor="middle">FEASIBILITY</text> </g> <!-- Decision Factors --> <g font-family="sans-serif" font-size="11" fill="#94a3b8" text-anchor="middle"> <text x="450" y="320">Weighted Scoring Model</text> <rect x="380" y="335" width="140" height="6" rx="3" fill="#ffffff10"/> <rect x="380" y="335" width="90" height="6" rx="3" fill="#e879f9"/> <g transform="translate(350, 360)"> <rect width="200" height="60" rx="8" fill="#00000030"/> <text x="100" y="20" fill="#f8fafc" font-weight="600">Technical Expertise</text> <text x="100" y="38" font-size="10">Bandwidth &amp; Resources</text> <text x="100" y="50" font-size="10">Financial Stability</text> </g> </g> <!-- Right Column: Compliance & Scope --> <rect x="590" y="120" width="260" height="320" rx="16" fill="#ffffff08" stroke="#ffffff10"/> <text x="610" y="150" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">3. COMPLIANCE</text> <g transform="translate(610, 175)"> <path d="M 0 0 L 220 0" stroke="#ffffff10" stroke-width="1"/> <text x="0" y="25" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Technical Compliance</text> <text x="0" y="45" font-family="sans-serif" font-size="11" fill="#94a3b8" line-height="1.4"> <tspan x="0" dy="1.2em">Strict adherence to RFP "Source of Truth."</tspan> <tspan x="0" dy="1.2em">Non-compliance = Disqualification.</tspan> </text> <rect x="0" y="100" width="220" height="120" rx="8" fill="#f43f5e10" stroke="#f43f5e30"/> <text x="110" y="125" font-family="sans-serif" font-weight="700" font-size="13" fill="#f43f5e" text-anchor="middle">SCOPE CREEP WARNING</text> <path d="M 90 145 L 130 145 M 100 155 L 120 155" stroke="#f43f5e" stroke-width="2" stroke-linecap="round"/> <text x="110" y="180" font-family="sans-serif" font-size="11" fill="#f8fafc" text-anchor="middle"> <tspan x="110" dy="0">Define boundaries clearly.</tspan> <tspan x="110" 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Visual --> <g transform="translate(40, 140)"> <rect width="820" height="220" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="20" y="30" font-family="sans-serif" font-weight="600" font-size="14" fill="#38bdf8" letter-spacing="1">THE INFORMATION TIMELINE</text> <!-- Timeline Path --> <path d="M 60 140 Q 200 80 410 140 T 760 140" fill="none" stroke="#ffffff20" stroke-width="2" stroke-dasharray="8 4"/> <!-- Phase 1: Immediate --> <circle cx="60" cy="140" r="8" fill="#f43f5e" filter="url(#glow)"/> <text x="60" y="170" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f8fafc" text-anchor="middle">IMMEDIATE</text> <text x="60" y="185" font-family="sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">Social Media / News</text> <text x="60" y="115" font-family="sans-serif" font-size="10" fill="#f43f5e" text-anchor="middle" font-weight="bold">HIGH SPEED</text> <!-- Phase 2: Contextual --> <circle cx="293" cy="110" r="8" fill="#f59e0b" filter="url(#glow)"/> <text 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font-size="10" fill="#94a3b8" text-anchor="middle">Books / Encyclopedias</text> <text x="760" y="115" font-family="sans-serif" font-size="10" fill="#38bdf8" text-anchor="middle" font-weight="bold">HIGH VERACITY</text> </g> <!-- Taxonomy Cards --> <g transform="translate(40, 380)"> <!-- Primary --> <rect x="0" y="0" width="260" height="150" rx="12" fill="#ffffff10" stroke="#38bdf840"/> <circle cx="30" cy="30" r="12" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <text x="26" y="34" font-family="sans-serif" font-size="12" fill="#38bdf8" font-weight="bold">1</text> <text x="55" y="35" font-family="sans-serif" font-size="16" font-weight="bold" fill="#f8fafc">Primary Sources</text> <text x="20" y="65" font-family="sans-serif" font-size="12" fill="#94a3b8">The "Ground Truth"</text> <text x="20" y="90" font-family="sans-serif" font-size="11" fill="#cbd5e1">• Lab Results &amp; Raw Data</text> <text x="20" y="110" font-family="sans-serif" font-size="11" fill="#cbd5e1">• Original Interviews</text> <text x="20" y="130" font-family="sans-serif" font-size="11" fill="#cbd5e1">• Patents &amp; Minutes</text> <!-- Secondary --> <rect x="280" y="0" width="260" height="150" rx="12" fill="#ffffff10" stroke="#e879f940"/> <circle cx="310" cy="30" r="12" fill="#e879f920" stroke="#e879f9" stroke-width="2"/> <text x="306" y="34" font-family="sans-serif" font-size="12" fill="#e879f9" font-weight="bold">2</text> <text x="335" y="35" font-family="sans-serif" font-size="16" font-weight="bold" fill="#f8fafc">Secondary Sources</text> <text x="300" y="65" font-family="sans-serif" font-size="12" fill="#94a3b8">Expert Synthesis</text> <text x="300" y="90" font-family="sans-serif" font-size="11" fill="#cbd5e1">• Review Articles</text> <text x="300" y="110" font-family="sans-serif" font-size="11" fill="#cbd5e1">• Technical Reports</text> <text x="300" y="130" font-family="sans-serif" font-size="11" fill="#cbd5e1">• Textbooks</text> <!-- Tertiary --> <rect x="560" y="0" width="260" height="150" rx="12" fill="#ffffff10" stroke="#f59e0b40"/> <circle cx="590" cy="30" r="12" fill="#f59e0b20" stroke="#f59e0b" stroke-width="2"/> <text x="586" y="34" font-family="sans-serif" font-size="12" fill="#f59e0b" font-weight="bold">3</text> <text x="615" y="35" font-family="sans-serif" font-size="16" font-weight="bold" fill="#f8fafc">Tertiary Sources</text> <text x="580" y="65" font-family="sans-serif" font-size="12" fill="#94a3b8">Initial Backgrounding</text> <text x="580" y="90" font-family="sans-serif" font-size="11" fill="#cbd5e1">• Encyclopedias</text> <text x="580" y="110" font-family="sans-serif" font-size="11" fill="#cbd5e1">• Library Catalogs</text> <text x="580" y="130" font-family="sans-serif" font-size="11" fill="#cbd5e1">• Wikipedia</text> </g> <!-- Peer Review Badge --> <g transform="translate(680, 40)"> <rect width="180" height="70" rx="8" fill="#10b98115" stroke="#10b981" stroke-width="1"/> <text x="90" y="25" font-family="sans-serif" font-size="10" font-weight="bold" fill="#10b981" text-anchor="middle">GOLD STANDARD</text> <text x="90" y="45" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc" text-anchor="middle">Peer Review</text> <text x="90" y="60" font-family="sans-serif" font-size="9" fill="#94a3b8" text-anchor="middle">Double-Blind Quality Control</text> </g> <!-- Decorative Signal Wave --> <g transform="translate(400, 40)" opacity="0.3"> <path d="M 0 20 L 10 5 L 20 25 L 30 10 L 40 20 L 100 20" fill="none" stroke="#38bdf8" stroke-width="2"> <animate attributeName="stroke-dasharray" from="0,150" to="150,0" dur="3s" repeatCount="indefinite" /> </path> <text x="0" y="45" font-family="sans-serif" font-size="8" fill="#38bdf8">SIGNAL PROCESSING</text> </g> </svg>Information Literacy and Research image 1Information Literacy and Research - Technical Writing - image 1https://www.getlykke.com/explore/public/technical-writing-fad6a22a-e276-4a4f-ad6d-c3d059a20b0b/media/information-literacy-and-research/svg/1Information Literacy and Research diagram 1Information Literacy and Research - Technical Writing - diagram 1https://www.getlykke.com/explore/public/technical-writing-fad6a22a-e276-4a4f-ad6d-c3d059a20b0b/media/information-literacy-and-research/svg/2Information Literacy and Research diagram 2Information Literacy and Research - Technical Writing - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="3" result="blur"/> <feComposite in="SourceGraphic" in2="blur" operator="over"/> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">WORKPLACE DOCUMENTATION &amp; REPORTING</text> <text x="450" y="75" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" letter-spacing="2">THE ORGANIZATIONAL NERVOUS SYSTEM</text> <line x1="350" y1="90" x2="550" y2="90" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 4"/> <!-- Central Hub Metaphor --> <circle cx="450" cy="280" r="60" fill="#ffffff08" stroke="#38bdf8" stroke-width="1" stroke-dasharray="5 5"/> <circle cx="450" cy="280" r="40" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <text x="450" y="275" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">SME</text> <path d="M 430 285 L 470 285" stroke="#f59e0b" stroke-width="2"/> <text x="450" y="300" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="12" fill="#f8fafc">KNOWLEDGE</text> <!-- Connection Lines --> <path d="M 280 200 Q 450 150 450 220" fill="none" stroke="#ffffff15" stroke-width="2" stroke-dasharray="4 4"/> <path d="M 620 200 Q 450 150 450 220" fill="none" stroke="#ffffff15" stroke-width="2" stroke-dasharray="4 4"/> <path d="M 450 340 L 450 420" fill="none" stroke="#ffffff15" stroke-width="2" stroke-dasharray="4 4"/> <!-- Left Card: Progress Reports --> <rect x="40" y="120" width="320" height="280" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <rect x="40" y="120" width="320" height="45" rx="16" fill="#38bdf820"/> <text x="60" y="150" font-family="sans-serif" font-weight="bold" font-size="18" fill="#38bdf8">Progress Reports</text> <text x="290" y="150" font-family="sans-serif" font-size="10" fill="#38bdf8" text-anchor="end">TEMPORAL LOOP</text> <!-- Timeline Steps --> <g transform="translate(60, 185)"> <circle cx="10" cy="10" r="8" fill="#22c55e"/> <text x="30" y="15" font-family="sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">Completed Work</text> <text x="30" y="30" font-family="sans-serif" font-size="11" fill="#94a3b8">Institutional memory &amp; archiving</text> <circle cx="10" cy="60" r="8" fill="#f59e0b"/> <text x="30" y="65" font-family="sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">Work in Progress</text> <text x="30" y="80" font-family="sans-serif" font-size="11" fill="#94a3b8">Current active sprints &amp; deltas</text> <circle cx="10" cy="110" r="8" fill="#38bdf8"/> <text x="30" y="115" font-family="sans-serif" font-weight="bold" font-size="13" fill="#f8fafc">Future Work</text> <text x="30" y="130" font-family="sans-serif" font-size="11" fill="#94a3b8">Resource allocation &amp; trajectory</text> <rect x="0" y="160" width="280" height="40" rx="8" fill="#ffffff05" stroke="#ffffff10"/> <text x="10" y="185" font-family="sans-serif" font-size="12" fill="#f8fafc">RAG Status:</text> <circle cx="100" cy="181" r="6" fill="#22c55e"/> <circle cx="120" cy="181" r="6" fill="#f59e0b" opacity="0.3"/> <circle cx="140" cy="181" r="6" fill="#ef4444" opacity="0.3"/> <text x="160" y="185" font-family="sans-serif" font-size="11" fill="#94a3b8">On Track</text> </g> <!-- Right Card: Incident Reports --> <rect x="540" y="120" width="320" height="280" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <rect x="540" y="120" width="320" height="45" rx="16" fill="#e879f920"/> <text x="560" y="150" font-family="sans-serif" font-weight="bold" font-size="18" fill="#e879f9">Incident Reporting</text> <text x="840" y="150" font-family="sans-serif" font-size="10" fill="#e879f9" text-anchor="end">FORENSIC PRECISION</text> <g transform="translate(560, 185)"> <text x="0" y="15" font-family="sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">The Objectivity Theorem</text> <rect x="0" y="30" width="280" height="2" fill="#ffffff10"/> <!-- Comparison --> <g transform="translate(0, 50)"> <rect x="0" y="0" width="135" height="60" rx="8" fill="#ffffff05" stroke="#ffffff10"/> <text x="10" y="20" font-family="sans-serif" font-weight="bold" font-size="12" fill="#38bdf8">OBSERVATION</text> <text x="10" y="40" font-family="sans-serif" font-size="11" fill="#94a3b8">"The server rack</text> <text x="10" y="52" font-family="sans-serif" font-size="11" fill="#94a3b8">was emitting smoke."</text> <rect x="145" y="0" width="135" height="60" rx="8" fill="#ef444410" stroke="#ef444430"/> <text x="155" y="20" font-family="sans-serif" font-weight="bold" font-size="12" fill="#ef4444">INFERENCE</text> <text x="155" y="40" font-family="sans-serif" font-size="11" fill="#94a3b8">"The server rack</text> <text x="155" y="52" font-family="sans-serif" font-size="11" fill="#94a3b8">was poorly made."</text> </g> <text x="0" y="140" font-family="sans-serif" font-size="12" fill="#f8fafc" font-style="italic">"Forensic documentation provides a</text> <text x="0" y="155" 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Managers --> <rect x="260" y="0" width="240" height="35" rx="8" fill="#ffffff05"/> <circle cx="280" cy="17" r="10" fill="#e879f9"/> <text x="300" y="22" font-family="sans-serif" font-weight="bold" font-size="12" fill="#f8fafc">PROJECT MANAGERS</text> <text x="430" y="22" font-family="sans-serif" font-size="11" fill="#94a3b8">Milestones</text> <!-- Stakeholders --> <rect x="520" y="0" width="240" height="35" rx="8" fill="#ffffff05"/> <circle cx="540" cy="17" r="10" fill="#f59e0b"/> <text x="560" y="22" font-family="sans-serif" font-weight="bold" font-size="12" fill="#f8fafc">STAKEHOLDERS</text> <text x="680" y="22" font-family="sans-serif" font-size="11" fill="#94a3b8">ROI &amp; Reassurance</text> </g> <!-- Decorative Elements --> <circle cx="850" cy="50" r="30" fill="#38bdf8" opacity="0.1"/> <circle cx="50" cy="510" r="20" fill="#e879f9" opacity="0.1"/> <path d="M 880 540 L 840 540 L 880 500 Z" fill="#f59e0b" opacity="0.2"/> </svg>Workplace Documentation and Reporting image 1Workplace Documentation and Reporting - Technical Writing - image 1https://www.getlykke.com/explore/public/technical-writing-fad6a22a-e276-4a4f-ad6d-c3d059a20b0b/media/workplace-documentation-and-reporting/svg/1Workplace Documentation and Reporting diagram 1Workplace Documentation and Reporting - Technical Writing - diagram 1https://www.getlykke.com/explore/public/technical-writing-fad6a22a-e276-4a4f-ad6d-c3d059a20b0b/media/workplace-documentation-and-reporting/svg/2Workplace Documentation and Reporting diagram 2Workplace Documentation and Reporting - Technical Writing - diagram 2https://www.getlykke.com/explore/public/english-composition-ii-rhetorical-methodsbased-c87ac465-c2d1-41bc-ba5c-60b9f0e872e82026-04-20T04:38:00.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="dots" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background and Decor --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dots)"/> <line x1="450" y1="120" x2="450" y2="420" stroke="#ffffff15" stroke-width="2" stroke-dasharray="8 4"/> <!-- Header Section --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="-0.5">RHETORICAL ANALYSIS</text> <text x="450" y="80" text-anchor="middle" font-family="sans-serif" font-weight="400" font-size="16" fill="#38bdf8" letter-spacing="2">TOULMIN VS. ROGERIAN MODELS</text> <rect x="400" y="95" width="100" height="4" rx="2" fill="#f59e0b"/> <!-- Left Panel: Toulmin --> <g transform="translate(40, 120)"> <rect width="380" height="300" rx="16" fill="#ffffff08" stroke="#38bdf840" stroke-width="1"/> <text x="20" y="40" font-family="sans-serif" font-weight="700" font-size="22" fill="#38bdf8">The Toulmin Model</text> <text x="20" y="65" font-family="sans-serif" font-size="13" fill="#94a3b8">Focus: Logical Rigor &amp; Structural Integrity</text> <!-- Toulmin Icon (Geometric/Blueprint) --> <g transform="translate(300, 20)"> <rect x="0" y="0" width="40" height="40" fill="none" stroke="#38bdf8" stroke-width="2"/> <path d="M0 40 L40 0 M0 20 L20 40 M20 0 L40 20" stroke="#38bdf8" stroke-width="1" opacity="0.5"/> </g> <!-- Components --> <g transform="translate(20, 90)"> <rect width="340" height="35" rx="6" fill="#ffffff10"/> <text x="10" y="22" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">CLAIM &amp; DATA</text> <text x="330" y="22" text-anchor="end" font-family="sans-serif" font-size="11" fill="#94a3b8">The Position + Evidence</text> <rect y="45" width="340" height="35" rx="6" fill="#ffffff10"/> <text x="10" y="67" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">WARRANT &amp; BACKING</text> <text x="330" y="67" text-anchor="end" font-family="sans-serif" font-size="11" fill="#94a3b8">The Logic + Support</text> <rect y="90" width="340" height="35" rx="6" fill="#ffffff10"/> <text x="10" y="112" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">QUALIFIER &amp; REBUTTAL</text> <text x="330" y="112" text-anchor="end" font-family="sans-serif" font-size="11" fill="#94a3b8">Limits + Counter-arguments</text> </g> <text x="20" y="260" font-family="sans-serif" font-size="12" fill="#94a3b8" font-style="italic">"Real-world arguments are based on probability,"</text> <text x="20" y="278" font-family="sans-serif" font-size="12" fill="#94a3b8" font-style="italic">"not absolute certainty." — Stephen Toulmin</text> </g> <!-- Right Panel: Rogerian --> <g transform="translate(480, 120)"> <rect width="380" height="300" rx="16" fill="#ffffff08" stroke="#e879f940" stroke-width="1"/> <text x="20" y="40" font-family="sans-serif" font-weight="700" font-size="22" fill="#e879f9">The Rogerian Model</text> <text x="20" y="65" font-family="sans-serif" font-size="13" fill="#94a3b8">Focus: Empathy &amp; Conflict Resolution</text> <!-- Rogerian Icon (Circles/Bridge) --> <g transform="translate(300, 20)"> <circle cx="15" cy="20" r="12" fill="none" stroke="#e879f9" stroke-width="2"/> <circle cx="25" cy="20" r="12" fill="none" stroke="#e879f9" stroke-width="2"/> </g> <!-- Components --> <g transform="translate(20, 90)"> <rect width="340" height="35" rx="6" fill="#ffffff10"/> <text x="10" y="22" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">COMMON GROUND</text> <text x="330" y="22" text-anchor="end" font-family="sans-serif" font-size="11" fill="#94a3b8">Shared Values &amp; Goals</text> <rect y="45" width="340" height="35" rx="6" fill="#ffffff10"/> <text x="10" y="67" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">NEUTRAL CONTEXT</text> <text x="330" y="67" text-anchor="end" font-family="sans-serif" font-size="11" fill="#94a3b8">Fair Representation of Others</text> <rect y="90" width="340" height="35" rx="6" fill="#ffffff10"/> <text x="10" y="112" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">MUTUAL BENEFIT</text> <text x="330" y="112" text-anchor="end" font-family="sans-serif" font-size="11" fill="#94a3b8">The "Win-Win" Outcome</text> </g> <text x="20" y="260" font-family="sans-serif" font-size="12" fill="#94a3b8" font-style="italic">"The goal is not to win, but to establish"</text> <text x="20" y="278" font-family="sans-serif" font-size="12" fill="#94a3b8" font-style="italic">"a bridge of understanding." — Carl Rogers</text> </g> <!-- Bottom Section: The 4 Pillars --> <g transform="translate(40, 440)"> <text x="0" y="-10" font-family="sans-serif" font-weight="700" font-size="14" fill="#f59e0b">THE FOUR PILLARS OF PERSUASION</text> <!-- Ethos --> <g transform="translate(0, 5)"> <rect width="195" height="80" rx="12" fill="#ffffff05" stroke="#ffffff10"/> <text x="15" y="30" font-family="sans-serif" font-weight="700" font-size="16" fill="#f8fafc">ETHOS</text> <text x="15" y="50" font-family="sans-serif" font-size="11" fill="#94a3b8">Credibility &amp; Character</text> <circle cx="170" cy="30" r="8" fill="#38bdf8" opacity="0.3"/> </g> <!-- Pathos --> <g transform="translate(208, 5)"> <rect width="195" height="80" rx="12" fill="#ffffff05" stroke="#ffffff10"/> <text x="15" y="30" font-family="sans-serif" font-weight="700" font-size="16" fill="#f8fafc">PATHOS</text> <text x="15" y="50" font-family="sans-serif" font-size="11" fill="#94a3b8">Emotional Resonance</text> <path d="M165 35 L175 35 L170 25 Z" fill="#e879f9" opacity="0.3"/> </g> <!-- Logos --> <g transform="translate(416, 5)"> <rect width="195" height="80" rx="12" fill="#ffffff05" stroke="#ffffff10"/> <text x="15" y="30" font-family="sans-serif" font-weight="700" font-size="16" fill="#f8fafc">LOGOS</text> <text x="15" y="50" font-family="sans-serif" font-size="11" fill="#94a3b8">Logical Consistency</text> <rect x="162" y="22" width="16" height="16" fill="#38bdf8" opacity="0.3"/> </g> <!-- Kairos --> <g transform="translate(624, 5)"> <rect width="195" height="80" rx="12" fill="#ffffff05" stroke="#ffffff10"/> <text x="15" y="30" font-family="sans-serif" font-weight="700" font-size="16" fill="#f8fafc">KAIROS</text> <text x="15" y="50" font-family="sans-serif" font-size="11" fill="#94a3b8">The Opportune Moment</text> <path d="M162 30 A8 8 0 1 0 178 30 A8 8 0 1 0 162 30" fill="none" stroke="#f59e0b" stroke-width="2" opacity="0.5"/> <line x1="170" y1="30" x2="170" y2="25" stroke="#f59e0b" stroke-width="2"/> </g> </g> <!-- Decorative Accents --> <circle cx="850" cy="50" r="30" fill="#f59e0b" opacity="0.05"/> <circle cx="50" cy="510" r="40" fill="#38bdf8" opacity="0.05"/> </svg>Rhetorical Analysis: Toulmin and Rogerian Models image 1Rhetorical Analysis: Toulmin and Rogerian Models - English Composition II: Rhetorical Methods–Based - image 1https://www.getlykke.com/explore/public/english-composition-ii-rhetorical-methodsbased-c87ac465-c2d1-41bc-ba5c-60b9f0e872e8/media/rhetorical-analysis-models/svg/1Rhetorical Analysis: Toulmin and Rogerian Models diagram 1Rhetorical Analysis: Toulmin and Rogerian Models - English Composition II: Rhetorical Methods–Based - diagram 1https://www.getlykke.com/explore/public/english-composition-ii-rhetorical-methodsbased-c87ac465-c2d1-41bc-ba5c-60b9f0e872e8/media/rhetorical-analysis-models/svg/2Rhetorical Analysis: Toulmin and Rogerian Models diagram 2Rhetorical Analysis: Toulmin and Rogerian Models - English Composition II: Rhetorical Methods–Based - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <pattern id="dotPattern" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff10"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dotPattern)"/> <!-- Header --> <text x="450" y="50" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-weight="800" font-size="32" letter-spacing="1">THE ARCHITECTURE OF INQUIRY</text> <text x="450" y="75" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="14" font-weight="500">RESEARCH METHODOLOGY &amp; PROPOSAL FRAMEWORKS</text> <rect x="350" y="85" width="200" height="2" fill="url(#accentGrad)"/> <!-- Left Panel: The FINER Framework --> <rect x="40" y="110" width="260" height="410" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="60" y="140" fill="#38bdf8" font-family="sans-serif" font-weight="700" font-size="18">FINER CRITERIA</text> <text x="60" y="160" fill="#94a3b8" font-family="sans-serif" font-size="11">Evaluating Question Viability</text> <g transform="translate(60, 185)"> <!-- F --> <circle cx="15" cy="15" r="15" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1.5"/> <text x="15" y="20" text-anchor="middle" fill="#f59e0b" font-family="sans-serif" font-weight="bold" font-size="14">F</text> <text x="40" y="12" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="13">Feasible</text> <text x="40" y="26" fill="#94a3b8" font-family="sans-serif" font-size="11">Resources, Time, Expertise</text> <!-- I --> <circle cx="15" cy="55" r="15" fill="#38bdf820" stroke="#38bdf8" stroke-width="1.5"/> <text x="15" y="60" text-anchor="middle" fill="#38bdf8" font-family="sans-serif" font-weight="bold" font-size="14">I</text> <text x="40" y="52" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="13">Interesting</text> <text x="40" y="66" fill="#94a3b8" font-family="sans-serif" font-size="11">Engages the Community</text> <!-- N --> <circle cx="15" cy="95" r="15" fill="#e879f920" stroke="#e879f9" stroke-width="1.5"/> <text x="15" y="100" text-anchor="middle" fill="#e879f9" font-family="sans-serif" font-weight="bold" font-size="14">N</text> <text x="40" y="92" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="13">Novel</text> <text x="40" y="106" fill="#94a3b8" font-family="sans-serif" font-size="11">Fills a Literature Gap</text> <!-- E --> <circle cx="15" cy="135" r="15" fill="#10b98120" stroke="#10b981" stroke-width="1.5"/> <text x="15" y="140" text-anchor="middle" fill="#10b981" font-family="sans-serif" font-weight="bold" font-size="14">E</text> <text x="40" y="132" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="13">Ethical</text> <text x="40" y="146" fill="#94a3b8" font-family="sans-serif" font-size="11">IRB &amp; Subject Protection</text> <!-- R --> <circle cx="15" cy="175" r="15" fill="#f43f5e20" stroke="#f43f5e" stroke-width="1.5"/> <text x="15" y="180" text-anchor="middle" fill="#f43f5e" font-family="sans-serif" font-weight="bold" font-size="14">R</text> <text x="40" y="172" fill="#f8fafc" font-family="sans-serif" font-weight="600" font-size="13">Relevant</text> <text x="40" y="186" fill="#94a3b8" font-family="sans-serif" font-size="11">The "So What?" Factor</text> </g> <!-- Center Panel: Researchability Equation --> <rect x="320" y="110" width="260" height="180" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="450" y="140" text-anchor="middle" fill="#e879f9" font-family="sans-serif" font-weight="700" font-size="18">RESEARCHABILITY (R)</text> <g transform="translate(450, 200)" filter="url(#glow)"> <text text-anchor="middle" fill="#f8fafc" font-family="serif" font-style="italic" font-size="28"> R = <tspan fill="#e879f9">N</tspan> · log(<tspan fill="#38bdf8">E</tspan>) / <tspan fill="#f43f5e">S²</tspan> </text> </g> <g transform="translate(340, 240)" font-family="sans-serif" font-size="10"> <text x="0" y="0" fill="#e879f9">N = Novelty</text> <text x="80" y="0" fill="#38bdf8">E = Evidence</text> <text x="160" y="0" fill="#f43f5e">S = Scope</text> <text x="0" y="20" fill="#94a3b8" font-style="italic">As Scope (S) increases, Researchability drops exponentially.</text> </g> <!-- Right Panel: Evidence Taxonomy --> <rect x="600" y="110" width="260" height="180" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="620" y="140" fill="#10b981" font-family="sans-serif" font-weight="700" font-size="18">EVIDENCE TAXONOMY</text> <rect x="615" y="160" width="110" height="110" rx="8" fill="#38bdf815" stroke="#38bdf830"/> <text x="670" y="180" text-anchor="middle" fill="#38bdf8" font-family="sans-serif" font-weight="bold" font-size="12">PRIMARY</text> <text x="670" y="200" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="10">Raw Artifacts</text> <text x="670" y="215" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="9">Lab Results</text> <text x="670" y="228" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="9">Diaries</text> <text x="670" y="241" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="9">Field Notes</text> <rect x="735" y="160" width="110" height="110" rx="8" fill="#e879f915" stroke="#e879f930"/> <text x="790" y="180" text-anchor="middle" fill="#e879f9" font-family="sans-serif" font-weight="bold" font-size="12">SECONDARY</text> <text x="790" y="200" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="10">Interpretation</text> <text x="790" y="215" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="9">Meta-Analysis</text> <text x="790" y="228" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="9">Textbooks</text> <text x="790" y="241" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="9">Journal Reviews</text> <!-- Bottom Panel: Inquiry-Based Writing --> <rect x="320" y="310" width="540" height="210" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="340" y="340" fill="#f59e0b" font-family="sans-serif" font-weight="700" font-size="18">INQUIRY-BASED WRITING LADDER</text> <!-- Ladder Steps --> <g transform="translate(340, 365)"> <!-- Level 1 --> <rect x="0" y="100" width="160" height="30" rx="4" fill="#ffffff10"/> <text x="10" y="120" fill="#f8fafc" font-family="sans-serif" font-weight="bold" font-size="12">1. DESCRIPTIVE</text> <text x="170" y="120" fill="#94a3b8" font-family="sans-serif" font-size="11">"What happened?" — Summarizing known facts.</text> <!-- Level 2 --> <rect x="0" y="60" width="160" height="30" rx="4" fill="#38bdf820"/> <text x="10" y="80" fill="#38bdf8" font-family="sans-serif" font-weight="bold" font-size="12">2. ANALYTICAL</text> <text x="170" y="80" fill="#94a3b8" font-family="sans-serif" font-size="11">"Why it happened?" — Identifying patterns &amp; causes.</text> <!-- Level 3 --> <rect x="0" y="20" width="160" height="30" rx="4" fill="#e879f920"/> <text x="10" y="40" fill="#e879f9" font-family="sans-serif" font-weight="bold" font-size="12">3. ARGUMENTATIVE</text> <text x="170" y="40" fill="#94a3b8" font-family="sans-serif" font-size="11">"How to understand it?" — Proposing new interpretations.</text> <!-- Connecting Line --> <path d="M 80,100 L 80,90 M 80,60 L 80,50" stroke="#ffffff30" stroke-width="2" stroke-dasharray="4"/> </g> <!-- Decorative Icons --> <circle cx="850" cy="50" r="30" fill="none" stroke="#ffffff05" stroke-width="10"/> <path d="M 40,520 Q 450,560 860,520" fill="none" stroke="url(#accentGrad)" stroke-width="1" opacity="0.3"/> </svg>Research Methodology and Proposals image 1Research Methodology and Proposals - English Composition II: Rhetorical Methods–Based - image 1https://www.getlykke.com/explore/public/english-composition-ii-rhetorical-methodsbased-c87ac465-c2d1-41bc-ba5c-60b9f0e872e8/media/research-methodology-proposals/svg/1Research Methodology and Proposals diagram 1Research Methodology and Proposals - English Composition II: Rhetorical Methods–Based - diagram 1https://www.getlykke.com/explore/public/english-composition-ii-rhetorical-methodsbased-c87ac465-c2d1-41bc-ba5c-60b9f0e872e8/media/research-methodology-proposals/svg/2Research Methodology and Proposals diagram 2Research Methodology and Proposals - English Composition II: Rhetorical Methods–Based - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="40" y="60" font-family="Inter, system-ui, sans-serif" font-weight="800" font-size="32" fill="#f8fafc">Thesis Statement Formulation</text> <text x="40" y="88" font-family="Inter, system-ui, sans-serif" font-size="16" fill="#94a3b8" letter-spacing="1">THE INTELLECTUAL CONTRACT &amp; ARCHITECTURAL BLUEPRINT</text> <rect x="40" y="105" width="120" height="4" rx="2" fill="url(#accentGrad)"/> <!-- Left Column: The Goldilocks Zone --> <rect x="40" y="135" width="400" height="385" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="65" y="170" font-family="Inter, sans-serif" font-weight="bold" font-size="18" fill="#f59e0b">The Goldilocks Zone of Discourse</text> <text x="65" y="192" font-family="Inter, sans-serif" font-size="12" fill="#94a3b8">A thesis must exist between the unarguable and the purely subjective.</text> <!-- Comparison Cards --> <!-- Fact --> <rect x="65" y="215" width="350" height="80" rx="12" fill="#ffffff05" stroke="#ffffff10"/> <circle cx="90" cy="240" r="12" fill="#475569"/> <text x="86" y="245" fill="white" font-family="sans-serif" font-weight="bold" font-size="14">!</text> <text x="115" y="238" font-family="Inter, sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">Level 1: Objective Fact</text> <text x="115" y="255" font-family="Inter, sans-serif" font-size="12" fill="#94a3b8">"The Great Depression began in 1929."</text> <text x="115" y="272" font-family="Inter, sans-serif" font-size="11" font-style="italic" fill="#64748b">Too Cold: No room for interpretation.</text> <!-- Opinion --> <rect x="65" y="305" width="350" height="80" rx="12" fill="#ffffff05" stroke="#ffffff10"/> <circle cx="90" cy="330" r="12" fill="#be123c"/> <path d="M 85 330 L 95 330 M 90 325 L 90 335" stroke="white" stroke-width="2" transform="rotate(45 90 330)"/> <text x="115" y="328" font-family="Inter, sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">Level 2: Subjective Opinion</text> <text x="115" y="345" font-family="Inter, sans-serif" font-size="12" fill="#94a3b8">"The 1930s was the most boring decade."</text> <text x="115" y="362" font-family="Inter, sans-serif" font-size="11" font-style="italic" fill="#64748b">Too Hot: Lacks logical rigor or evidence.</text> <!-- Debatable Claim --> <rect x="65" y="395" width="350" height="105" rx="12" fill="#f59e0b15" stroke="#f59e0b40"/> <circle cx="90" cy="420" r="12" fill="#f59e0b"/> <path d="M 85 420 L 95 420 M 90 415 L 90 425" stroke="white" stroke-width="2"/> <text x="115" y="418" font-family="Inter, sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">Level 3: Debatable Claim</text> <text x="115" y="435" font-family="Inter, sans-serif" font-size="12" fill="#f8fafc" width="220">"Protectionist trade policies were the primary cause of the Depression's length."</text> <text x="115" y="480" font-family="Inter, sans-serif" font-weight="bold" font-size="11" fill="#f59e0b">JUST RIGHT: Requires evidence &amp; defense.</text> <!-- Right Column: Evolution Pipeline --> <text x="470" y="155" font-family="Inter, sans-serif" font-weight="bold" font-size="18" fill="#38bdf8">Stochastic Refinement Pipeline</text> <!-- Step 1 --> <circle cx="485" cy="200" r="15" fill="#1e293b" stroke="#38bdf8" stroke-width="2"/> <text x="481" y="205" fill="#38bdf8" font-family="sans-serif" font-weight="bold" font-size="12">01</text> <line x1="485" y1="215" x2="485" y2="265" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 4"/> <text x="515" y="195" font-family="Inter, sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">Initial Inquiry</text> <text x="515" y="212" font-family="Inter, sans-serif" font-size="12" fill="#94a3b8">Broad interest: "How does social media affect health?"</text> <!-- Step 2 --> <circle cx="485" cy="280" r="15" fill="#1e293b" stroke="#38bdf8" stroke-width="2"/> <text x="479" y="285" fill="#38bdf8" font-family="sans-serif" font-weight="bold" font-size="12">02</text> <line x1="485" y1="295" x2="485" y2="345" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 4"/> <text x="515" y="275" font-family="Inter, sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">Tentative Claim</text> <text x="515" y="292" font-family="Inter, sans-serif" font-size="12" fill="#94a3b8">Preliminary answer: "It has a negative impact on teens."</text> <!-- Step 3 --> <circle cx="485" cy="360" r="15" fill="#1e293b" stroke="#38bdf8" stroke-width="2"/> <text x="479" y="365" fill="#38bdf8" font-family="sans-serif" font-weight="bold" font-size="12">03</text> <line x1="485" y1="375" x2="485" y2="425" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 4"/> <text x="515" y="355" font-family="Inter, sans-serif" font-weight="bold" font-size="14" fill="#f8fafc">Working Thesis</text> <text x="515" y="372" font-family="Inter, sans-serif" font-size="12" fill="#94a3b8">Adding nuance: "Algorithmic promotion affects body image."</text> <!-- Step 4 --> <circle cx="485" cy="440" r="18" fill="#38bdf8"/> <text x="477" y="445" fill="#0f172a" 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rx="16" fill="#ffffff10" stroke="#38bdf833" stroke-width="2"/> <rect width="250" height="60" rx="16" fill="#38bdf815"/> <text x="125" y="38" font-family="sans-serif" font-size="20" font-weight="700" fill="#38bdf8" text-anchor="middle">QUOTING</text> <!-- Icon: Brackets --> <text x="125" y="100" font-family="serif" font-size="40" fill="#38bdf8" text-anchor="middle" filter="url(#glow)">" "</text> <text x="125" y="140" font-family="sans-serif" font-size="14" font-weight="600" fill="#f8fafc" text-anchor="middle">High Fidelity Reproduction</text> <text x="125" y="160" font-family="sans-serif" font-size="12" fill="#94a3b8" text-anchor="middle">Literal transcription of source text.</text> <line x1="40" y1="185" x2="210" y2="185" stroke="#334155"/> <text x="30" y="215" font-family="sans-serif" font-size="12" font-weight="700" fill="#38bdf8">SCOPE:</text> <text x="30" y="232" font-family="sans-serif" font-size="13" fill="#f8fafc">Micro (Sentence/Phrase)</text> <text x="30" y="265" 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letter-spacing="2">THE ARCHITECTURE OF ACADEMIC DISCOURSE</text> <rect x="400" y="95" width="100" height="2" fill="#f59e0b"/> <!-- Philosophy Hub --> <g transform="translate(450, 140)"> <rect x="-380" y="0" width="760" height="60" rx="30" fill="#ffffff08" stroke="#ffffff15"/> <g transform="translate(-260, 30)"> <circle r="12" fill="#f59e0b" fill-opacity="0.2" stroke="#f59e0b" stroke-width="2"/> <text x="20" y="5" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="600">ATTRIBUTION</text> </g> <g transform="translate(0, 30)"> <circle r="12" fill="#e879f9" fill-opacity="0.2" stroke="#e879f9" stroke-width="2"/> <text x="20" y="5" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="600">VERIFICATION</text> </g> <g transform="translate(180, 30)"> <circle r="12" fill="#38bdf8" fill-opacity="0.2" stroke="#38bdf8" stroke-width="2"/> <text x="20" y="5" fill="#f8fafc" font-family="sans-serif" font-size="13" font-weight="600">CONTEXTUALIZATION</text> </g> </g> <!-- MLA Section (Left) --> <g transform="translate(40, 220)"> <rect width="400" height="300" rx="16" fill="url(#mlaGrad)" stroke="#e879f933" stroke-width="1"/> <text x="20" y="35" fill="#e879f9" font-family="sans-serif" font-size="22" font-weight="700">MLA STYLE</text> <text x="20" y="55" fill="#94a3b8" font-family="sans-serif" font-size="12" font-weight="500">HUMANITIES &amp; LITERATURE</text> <!-- MLA Logic --> <g transform="translate(20, 85)"> <rect width="360" height="40" rx="8" fill="#ffffff08"/> <text x="15" y="25" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="600">Focus: Author-Page System</text> <text x="345" y="25" text-anchor="end" fill="#e879f9" font-family="sans-serif" font-size="12">(García Márquez 42)</text> </g> <!-- Container Concept Visual --> <text x="20" y="155" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="600">The "Container" Logic</text> <g transform="translate(20, 170)"> <rect x="0" y="0" width="120" height="80" rx="4" fill="#e879f911" stroke="#e879f9" stroke-dasharray="4 2"/> <text x="60" y="45" text-anchor="middle" fill="#e879f9" font-family="sans-serif" font-size="11">SOURCE</text> <path d="M 130 40 L 160 40" stroke="#94a3b8" stroke-width="2" marker-end="url(#arrow)"/> <rect x="170" y="-10" width="160" height="100" rx="4" fill="#e879f922" stroke="#e879f9" stroke-width="2"/> <text x="250" y="45" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="11" font-weight="bold">CONTAINER</text> <text x="250" y="65" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="9">(Journal, Anthology, Website)</text> </g> <text x="20" y="280" fill="#94a3b8" font-family="sans-serif" font-size="11" font-style="italic">Prioritizes the location within stable texts.</text> </g> <!-- APA Section (Right) --> <g transform="translate(460, 220)"> <rect width="400" height="300" rx="16" fill="url(#apaGrad)" stroke="#38bdf833" stroke-width="1"/> <text x="20" y="35" fill="#38bdf8" font-family="sans-serif" font-size="22" font-weight="700">APA STYLE</text> <text x="20" y="55" fill="#94a3b8" font-family="sans-serif" font-size="12" font-weight="500">SOCIAL SCIENCES &amp; STEM</text> <!-- APA Logic --> <g transform="translate(20, 85)"> <rect width="360" height="40" rx="8" fill="#ffffff08"/> <text x="15" y="25" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="600">Focus: Author-Date System</text> <text x="345" y="25" text-anchor="end" fill="#38bdf8" font-family="sans-serif" font-size="12">(Smith, 2024)</text> </g> <!-- Currency Visual --> <text x="20" y="155" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="600">Priority: Data Currency</text> <g transform="translate(20, 170)"> <line x1="0" y1="40" x2="340" y2="40" stroke="#38bdf8" stroke-width="2" stroke-dasharray="8 4"/> <circle cx="40" cy="40" r="6" fill="#1e1b4b" stroke="#38bdf8" stroke-width="2"/> <text x="40" y="65" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10">1990</text> <circle cx="170" cy="40" r="6" fill="#1e1b4b" stroke="#38bdf8" stroke-width="2"/> <text x="170" y="65" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="10">2010</text> <circle cx="300" cy="40" r="10" fill="#38bdf8" filter="url(#glow)"/> <text x="300" y="65" text-anchor="middle" fill="#38bdf8" font-family="sans-serif" font-size="11" font-weight="bold">2024</text> <path d="M 290 10 L 310 10 L 300 30 Z" fill="#f59e0b"/> <text x="300" y="0" text-anchor="middle" fill="#f59e0b" font-family="sans-serif" font-size="10" font-weight="bold">NEWEST DATA</text> </g> <text x="20" y="280" fill="#94a3b8" font-family="sans-serif" font-size="11" font-style="italic">Emphasizes the age of research for reproducibility.</text> </g> <!-- Footer Elements --> <circle cx="450" cy="530" r="4" fill="#f59e0b"/> <circle cx="430" cy="530" r="4" fill="#ffffff22"/> <circle cx="470" cy="530" r="4" 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2https://www.getlykke.com/explore/public/online-writing-lab-5f0d98fb-87e2-439f-abc2-dde0bb0518612026-04-20T04:36:19.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="slinky-grad" x1="0%" y1="0%" x2="100%" y2="0%"> <stop offset="0%" stop-color="#f59e0b"/> <stop offset="33%" stop-color="#38bdf8"/> <stop offset="66%" stop-color="#e879f9"/> <stop offset="100%" stop-color="#10b981"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="3" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="40" y="50" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">THE WRITING PROCESS</text> <text x="40" y="75" font-family="sans-serif" font-weight="400" font-size="16" fill="#94a3b8">A Recursive Journey: From Creative Entropy to Surgical Precision</text> <rect x="40" y="90" width="120" height="4" fill="#38bdf8" rx="2"/> <!-- Comparison Panel (Top Right) --> <rect x="560" y="30" width="300" height="110" rx="16" fill="#ffffff10" stroke="#ffffff20"/> <text x="580" y="55" font-family="sans-serif" font-weight="700" font-size="14" fill="#f8fafc">THE PARADIGM SHIFT</text> <text x="580" y="80" font-family="sans-serif" font-size="12" fill="#94a3b8">Linear Model: Static, Unidirectional</text> <path d="M 780 76 L 830 76" stroke="#ef4444" stroke-width="2" marker-end="url(#arrow)"/> <text x="580" y="100" font-family="sans-serif" font-size="12" fill="#38bdf8">Recursive Model: Dynamic, Cyclical</text> <path d="M 780 96 C 790 86, 820 86, 830 96 S 800 106, 790 96" fill="none" stroke="#38bdf8" stroke-width="2"/> <!-- Main Slinky Path (The Core Visual) --> <g transform="translate(50, 180)"> <!-- Shadow/Path Trace --> <path d="M 50 100 C 50 0, 150 0, 150 100 S 250 200, 250 100 S 350 0, 350 100 S 450 200, 450 100 S 550 0, 550 100 S 650 200, 650 100 S 750 0, 750 100" fill="none" stroke="#ffffff10" stroke-width="40" stroke-linecap="round"/> <!-- The Slinky Coil --> <path d="M 50 100 C 50 0, 150 0, 150 100 S 250 200, 250 100 S 350 0, 350 100 S 450 200, 450 100 S 550 0, 550 100 S 650 200, 650 100 S 750 0, 750 100" fill="none" stroke="url(#slinky-grad)" stroke-width="8" stroke-dasharray="1, 15" stroke-linecap="round" filter="url(#glow)"/> <!-- Loop Back Indicators --> <path d="M 250 120 Q 200 160, 150 120" fill="none" stroke="#94a3b8" stroke-width="2" stroke-dasharray="4" marker-end="url(#arrow-head)"/> <path d="M 450 120 Q 400 160, 350 120" fill="none" 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Revising --> <rect x="460" y="380" width="190" height="140" rx="12" fill="#ffffff08" stroke="#e879f944"/> <circle cx="490" cy="410" r="15" fill="#e879f922" stroke="#e879f9" stroke-width="2"/> <path d="M 485 410 A 5 5 0 1 1 495 410" fill="none" stroke="#e879f9" stroke-width="2"/> <text x="515" y="415" font-family="sans-serif" font-weight="700" font-size="16" fill="#e879f9">REVISING</text> <text x="480" y="445" font-family="sans-serif" font-size="12" fill="#f8fafc">Refinement</text> <text x="480" y="465" font-family="sans-serif" font-size="11" fill="#94a3b8">• Global Changes</text> <text x="480" y="480" font-family="sans-serif" font-size="11" fill="#94a3b8">• Argument Strength</text> <text x="480" y="495" font-family="sans-serif" font-size="11" fill="#94a3b8">• Structural Reorg</text> <!-- 4. Editing --> <rect x="670" y="380" width="190" height="140" rx="12" fill="#ffffff08" stroke="#10b98144"/> <circle cx="700" cy="410" r="15" fill="#10b98122" stroke="#10b981" stroke-width="2"/> <path d="M 695 415 L 705 405" stroke="#10b981" stroke-width="2"/> <text x="725" y="415" font-family="sans-serif" font-weight="700" font-size="16" fill="#10b981">EDITING</text> <text x="690" y="445" font-family="sans-serif" font-size="12" fill="#f8fafc">Precision</text> <text x="690" y="465" font-family="sans-serif" font-size="11" fill="#94a3b8">• Sentence Flow</text> <text x="690" y="480" font-family="sans-serif" font-size="11" fill="#94a3b8">• Grammar/Syntax</text> <text x="690" y="495" font-family="sans-serif" font-size="11" fill="#94a3b8">• Final Polish</text> <!-- Markers --> <marker id="arrow-head" markerWidth="10" markerHeight="10" refX="5" refY="5" orient="auto"> <path d="M 0 0 L 5 5 L 0 10" fill="none" stroke="#94a3b8" stroke-width="1"/> </marker> <!-- Quote/Principle --> <text x="450" y="545" font-family="sans-serif" font-style="italic" font-size="13" fill="#94a3b8" text-anchor="middle">"Writing is not merely a way to record thoughts, but a way to discover them."</text> <!-- Decorative "Slinky Principle" Label --> <g transform="translate(100, 200) rotate(-15)"> <text x="0" y="0" font-family="sans-serif" font-weight="900" font-size="10" fill="#ffffff20" letter-spacing="2">THE SLINKY PRINCIPLE</text> </g> </svg>The Writing Process Overview image 1The Writing Process Overview - Online Writing Lab - image 1https://www.getlykke.com/explore/public/online-writing-lab-5f0d98fb-87e2-439f-abc2-dde0bb051861/media/the-writing-process-overview/svg/1The Writing Process Overview diagram 1The Writing Process Overview - Online Writing Lab - diagram 1https://www.getlykke.com/explore/public/online-writing-lab-5f0d98fb-87e2-439f-abc2-dde0bb051861/media/the-writing-process-overview/svg/2The Writing Process Overview diagram 2The Writing Process Overview - Online Writing Lab - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="1"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background and Grid --> <rect width="900" height="560" fill="url(#bg)"/> <g stroke="#ffffff08" stroke-width="1"> <path d="M0 40h900M0 80h900M0 120h900M0 160h900M0 200h900M0 240h900M0 280h900M0 320h900M0 360h900M0 400h900M0 440h900M0 480h900M0 520h900"/> <path d="M40 0v560M80 0v560M120 0v560M160 0v560M200 0v560M240 0v560M280 0v560M320 0v560M360 0v560M400 0v560M440 0v560M480 0v560M520 0v560M560 0v560M600 0v560M640 0v560M680 0v560M720 0v560M760 0v560M800 0v560M840 0v560"/> </g> <!-- Header Section --> <text x="40" y="60" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc">PREWRITING &amp; IDEA GENERATION</text> <text x="40" y="85" font-family="sans-serif" font-size="14" fill="#94a3b8" letter-spacing="1">THE NON-LINEAR ARCHITECTURE OF THOUGHT</text> <rect x="40" y="105" width="120" height="4" fill="url(#accentGrad)" rx="2"/> <!-- Main Concept: The Slinky Metaphor --> <rect x="40" y="130" width="410" height="240" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="165" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">The Recursive Loop (The Slinky®)</text> <text x="60" y="185" font-family="sans-serif" font-size="12" fill="#94a3b8">Writing is not a straight line, but a forward-moving coil.</text> <!-- Slinky Illustration --> <g transform="translate(80, 240)" fill="none" stroke-width="3"> <path d="M0 0c20-40 60-40 80 0s-60 40-80 0" stroke="#38bdf833"/> <path d="M40 0c20-40 60-40 80 0s-60 40-80 0" stroke="#38bdf866"/> <path d="M80 0c20-40 60-40 80 0s-60 40-80 0" stroke="#38bdf899"/> <path d="M120 0c20-40 60-40 80 0s-60 40-80 0" stroke="#38bdf8"/> <path d="M160 0c20-40 60-40 80 0s-60 40-80 0" stroke="#e879f9" filter="url(#glow)"/> <!-- Arrow --> <path d="M250 0h60" stroke="#f8fafc" stroke-dasharray="4 2"/> <path d="M305 -5l10 5l-10 5" fill="#f8fafc"/> </g> <text x="60" y="340" font-family="sans-serif" font-size="12" fill="#f8fafc" font-weight="600">RECURSIVE PROGRESSION</text> <text x="280" y="340" font-family="sans-serif" font-size="11" fill="#94a3b8">Iteration leads to refinement</text> <!-- Comparison: Generative vs Evaluative --> <rect x="470" y="130" width="390" height="240" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="490" y="165" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">Cognitive Decoupling</text> <!-- Generative Side --> <rect x="490" y="185" width="170" height="160" rx="8" fill="#38bdf810" stroke="#38bdf830"/> <text x="500" y="205" font-family="sans-serif" font-weight="700" font-size="13" fill="#38bdf8">GENERATIVE</text> <text x="500" y="225" font-family="sans-serif" font-size="11" fill="#f8fafc">Divergent Thinking</text> <circle cx="510" cy="255" r="3" fill="#38bdf8"/> <text x="520" y="259" font-family="sans-serif" font-size="11" fill="#94a3b8">Quantity over quality</text> <circle cx="510" cy="275" r="3" fill="#38bdf8"/> <text x="520" y="279" font-family="sans-serif" font-size="11" fill="#94a3b8">Bypass inner critic</text> <circle cx="510" cy="295" r="3" fill="#38bdf8"/> <text x="520" y="299" font-family="sans-serif" font-size="11" fill="#94a3b8">Raw conceptual ore</text> <!-- Evaluative Side --> <rect x="670" y="185" width="170" height="160" rx="8" fill="#e879f910" stroke="#e879f930"/> <text x="680" y="205" font-family="sans-serif" font-weight="700" font-size="13" fill="#e879f9">EVALUATIVE</text> <text x="680" y="225" font-family="sans-serif" font-size="11" fill="#f8fafc">Convergent Thinking</text> <circle cx="690" cy="255" r="3" fill="#e879f9"/> <text x="700" y="259" font-family="sans-serif" font-size="11" fill="#94a3b8">Clarity and logic</text> <circle cx="690" cy="275" r="3" fill="#e879f9"/> <text x="700" y="279" font-family="sans-serif" font-size="11" fill="#94a3b8">Strict constraints</text> <circle cx="690" cy="295" r="3" fill="#e879f9"/> <text x="700" y="299" font-family="sans-serif" font-size="11" fill="#94a3b8">Polishing the metal</text> <!-- Bottom Section: Methodologies --> <text x="40" y="410" font-family="sans-serif" font-weight="700" font-size="20" fill="#f8fafc">Core Methodologies</text> <!-- Freewriting Card --> <rect x="40" y="430" width="410" height="100" rx="12" fill="#ffffff0a" stroke="#ffffff15"/> <path d="M60 455l20 0l5 15l10-30l10 40l10-25l10 0" stroke="#38bdf8" fill="none" stroke-width="2"/> <text x="140" y="460" font-family="sans-serif" font-weight="700" font-size="16" fill="#f8fafc">01. Freewriting</text> <text x="140" y="480" font-family="sans-serif" font-size="12" fill="#94a3b8">Stochastic generation. Maintain velocity to</text> <text x="140" y="495" font-family="sans-serif" font-size="12" fill="#94a3b8">achieve flow state and lower entry barriers.</text> <rect x="140" y="508" width="60" height="14" rx="4" fill="#38bdf820"/> <text x="145" y="519" font-family="sans-serif" font-size="9" font-weight="bold" fill="#38bdf8">VELOCITY</text> <!-- Mapping Card --> <rect x="470" y="430" width="390" height="100" rx="12" fill="#ffffff0a" stroke="#ffffff15"/> <!-- Node Icon --> <circle cx="510" cy="480" r="6" stroke="#e879f9" stroke-width="2" fill="none"/> <circle cx="535" cy="460" r="4" fill="#e879f9"/> <circle cx="535" cy="500" r="4" fill="#e879f9"/> <line x1="516" y1="476" x2="531" y2="464" stroke="#e879f9" stroke-width="1"/> <line x1="516" y1="484" x2="531" y2="496" stroke="#e879f9" stroke-width="1"/> <text x="560" y="460" font-family="sans-serif" font-weight="700" font-size="16" fill="#f8fafc">02. Concept Mapping</text> <text x="560" y="480" font-family="sans-serif" font-size="12" fill="#94a3b8">Visual synthesis of nodes and edges.</text> <text x="560" y="495" font-family="sans-serif" font-size="12" fill="#94a3b8">Identifies the topology of an argument.</text> <rect x="560" y="508" width="60" height="14" rx="4" fill="#e879f920"/> <text x="565" y="519" font-family="sans-serif" font-size="9" font-weight="bold" fill="#e879f9">STRUCTURE</text> <!-- Decorative corner element --> <path d="M860 40l20 0l0 20" fill="none" stroke="#f59e0b" stroke-width="2"/> <circle cx="880" cy="40" r="3" fill="#f59e0b"/> </svg>Prewriting and Idea Generation image 1Prewriting and Idea Generation - Online Writing Lab - image 1https://www.getlykke.com/explore/public/online-writing-lab-5f0d98fb-87e2-439f-abc2-dde0bb051861/media/prewriting-strategies/svg/1Prewriting and Idea Generation diagram 1Prewriting and Idea Generation - Online Writing Lab - diagram 1https://www.getlykke.com/explore/public/online-writing-lab-5f0d98fb-87e2-439f-abc2-dde0bb051861/media/prewriting-strategies/svg/2Prewriting and Idea Generation diagram 2Prewriting and Idea Generation - Online Writing Lab - diagram 2https://www.getlykke.com/explore/public/online-writing-lab-5f0d98fb-87e2-439f-abc2-dde0bb051861/media/prewriting-strategies/svg/3Prewriting and Idea Generation diagram 3Prewriting and Idea Generation - Online Writing Lab - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-size="32" font-weight="800" fill="#f8fafc" letter-spacing="1">ASSIGNMENT ANALYSIS &amp; TOPIC NARROWING</text> <text x="450" y="75" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="400" fill="#94a3b8" letter-spacing="2">PHASE 01: THE RHETORICAL COMPILER</text> <line x1="350" y1="85" x2="550" y2="85" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 2"/> <!-- Left Section: Rhetorical Triad --> <text x="60" y="125" font-family="sans-serif" font-size="18" font-weight="700" fill="#38bdf8">I. THE RHETORICAL TRIAD</text> <!-- Purpose Card --> <rect x="50" y="140" width="320" height="85" rx="16" fill="#ffffff10" stroke="#ffffff15"/> <circle cx="85" cy="182" r="20" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <circle cx="85" cy="182" r="4" fill="#38bdf8"/> <text x="120" y="175" font-family="sans-serif" font-size="16" font-weight="700" fill="#f8fafc">PURPOSE</text> <text x="120" y="192" font-family="sans-serif" font-size="12" fill="#94a3b8">The "Why" — Objective Function (Persuade/Inform)</text> <!-- Audience Card --> <rect x="50" y="240" width="320" height="85" rx="16" fill="#ffffff10" stroke="#ffffff15"/> <path d="M75 285 Q85 265 95 285" fill="none" stroke="#f59e0b" stroke-width="2"/> <circle cx="85" cy="270" r="6" fill="none" stroke="#f59e0b" stroke-width="2"/> <text x="120" y="275" font-family="sans-serif" font-size="16" font-weight="700" fill="#f8fafc">AUDIENCE</text> <text x="120" y="292" font-family="sans-serif" font-size="12" fill="#94a3b8">The "Who" — Knowledge Threshold &amp; Abstraction</text> <!-- Voice Card --> <rect x="50" y="340" width="320" height="85" rx="16" fill="#ffffff10" stroke="#ffffff15"/> <path d="M70 382 L75 372 L85 392 L90 382 L100 382" fill="none" stroke="#e879f9" stroke-width="2"/> <text x="120" y="375" font-family="sans-serif" font-size="16" font-weight="700" fill="#f8fafc">VOICE</text> <text x="120" y="392" font-family="sans-serif" font-size="12" fill="#94a3b8">The "How" — Register, Tone, &amp; Ethos</text> <!-- Right Section: The Hand Fan / Funnel --> <text x="500" y="125" font-family="sans-serif" font-size="18" font-weight="700" fill="#f59e0b">II. TOPIC NARROWING (THE FAN)</text> <!-- Funnel/Fan Visualization --> <g transform="translate(500, 150)"> <!-- Level 1: Global --> <path d="M0 0 L340 0 L310 60 L30 60 Z" fill="#ffffff08" stroke="#ffffff20"/> <text x="170" y="35" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="700" fill="#f8fafc">GLOBAL TOPIC (Too Broad)</text> <text x="350" y="35" font-family="sans-serif" font-size="11" fill="#94a3b8">e.g., "Climate Change"</text> <!-- Level 2: Category --> <path d="M30 70 L310 70 L270 130 L70 130 Z" fill="#ffffff12" stroke="#ffffff20"/> <text x="170" y="105" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="700" fill="#f8fafc">SUB-CATEGORY</text> <text x="350" y="105" font-family="sans-serif" font-size="11" fill="#94a3b8">e.g., "Ocean Acidification"</text> <!-- Level 3: Niche --> <path d="M70 140 L270 140 L220 200 L120 200 Z" fill="#38bdf820" stroke="#38bdf840"/> <text x="170" y="175" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="700" fill="#f8fafc">SPECIFIC NICHE</text> <text x="350" y="175" font-family="sans-serif" font-size="11" fill="#94a3b8">e.g., "Impact on Coral Reefs"</text> <!-- Level 4: Thesis --> <path d="M120 210 L220 210 L170 270 Z" fill="#f59e0b40" stroke="#f59e0b" filter="url(#glow)"/> <text x="170" y="245" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="800" fill="#f59e0b">THESIS RIB</text> <text x="180" y="295" font-family="sans-serif" font-size="11" fill="#f8fafc" font-style="italic">"The economic impact of coral bleaching on Caribbean tourism (2010-2020)"</text> </g> <!-- Bottom Panel: Logic Check --> <rect x="50" y="450" width="800" height="80" rx="16" fill="#00000040" stroke="#38bdf830"/> <text x="75" y="475" font-family="monospace" font-size="13" fill="#38bdf8">if capacity &lt; 0.8: </text> <text x="215" y="475" font-family="monospace" font-size="13" fill="#f8fafc">return "REJECT: Scope Creep Detected"</text> <text x="75" y="495" font-family="monospace" font-size="13" fill="#38bdf8">elif capacity &gt; 2.5: </text> <text x="235" y="495" font-family="monospace" font-size="13" fill="#f8fafc">return "CAUTION: Topic too thin"</text> <!-- Success Metric Badge --> <rect x="680" y="465" width="150" height="50" rx="10" fill="#10b98120" stroke="#10b981"/> <text x="755" y="485" text-anchor="middle" font-family="sans-serif" font-size="10" font-weight="700" fill="#10b981">SUCCESS METRIC</text> <text x="755" y="502" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="800" fill="#f8fafc">OPTIMAL ALIGNMENT</text> <!-- Decorative elements --> <circle cx="850" cy="50" r="30" fill="none" stroke="#ffffff05" stroke-width="8"/> <circle cx="850" cy="50" r="15" fill="none" stroke="#ffffff05" stroke-width="4"/> </svg>Assignment Analysis and Topic Narrowing image 1Assignment Analysis and Topic Narrowing - Online Writing Lab - image 1https://www.getlykke.com/explore/public/online-writing-lab-5f0d98fb-87e2-439f-abc2-dde0bb051861/media/assignment-analysis-and-topic-narrowing/svg/1Assignment Analysis and Topic Narrowing diagram 1Assignment Analysis and Topic Narrowing - Online Writing Lab - diagram 1https://www.getlykke.com/explore/public/online-writing-lab-5f0d98fb-87e2-439f-abc2-dde0bb051861/media/assignment-analysis-and-topic-narrowing/svg/2Assignment Analysis and Topic Narrowing diagram 2Assignment Analysis and Topic Narrowing - Online Writing Lab - diagram 2<svg viewBox="0 0 900 560" xmlns="http://www.w3.org/2000/svg"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="blur"/> <feComposite in="SourceGraphic" in2="blur" operator="over"/> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="450" y="60" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="32" font-weight="800" letter-spacing="-0.025em">THE ACADEMIC PROTOCOL</text> <text x="450" y="85" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="14" font-weight="400" letter-spacing="0.05em">HIGH-FIDELITY SCHOLARLY TRANSMISSION MODEL</text> <rect x="400" y="95" width="100" height="4" rx="2" fill="url(#accentGrad)"/> <!-- Main Signal Flow Line --> <path d="M 100 280 L 800 280" stroke="#ffffff10" stroke-width="2" stroke-dasharray="8 4"/> <circle cx="450" cy="280" r="180" fill="none" stroke="#38bdf815" stroke-width="1"/> <circle cx="450" cy="280" r="220" fill="none" stroke="#e879f910" stroke-width="1"/> <!-- Left Card: The Rhetorical Situation (Input) --> <rect x="50" y="140" width="220" height="280" rx="16" fill="#ffffff08" stroke="#ffffff15" stroke-width="1"/> <text x="70" y="175" fill="#38bdf8" font-family="sans-serif" font-size="18" font-weight="700">Rhetorical Situation</text> <g transform="translate(70, 205)"> <circle cx="10" cy="0" r="4" fill="#f59e0b"/> <text x="25" y="5" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="600">Exigence</text> <text x="25" y="22" fill="#94a3b8" font-family="sans-serif" font-size="11">The catalyst for writing</text> <circle cx="10" cy="50" r="4" fill="#f59e0b"/> <text x="25" y="55" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="600">Constraints</text> <text x="25" y="72" fill="#94a3b8" font-family="sans-serif" font-size="11">Rubrics, medium, rules</text> <circle cx="10" cy="100" r="4" 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Composition diagram 1Foundations of Rhetoric and Composition - English Composition I - diagram 1https://www.getlykke.com/explore/public/english-composition-i-680eff28-9027-4c2c-bee0-1d67658f0b2e/media/foundations-of-rhetoric-and-composition/svg/2Foundations of Rhetoric and Composition diagram 2Foundations of Rhetoric and Composition - English Composition I - diagram 2https://www.getlykke.com/explore/public/english-composition-i-680eff28-9027-4c2c-bee0-1d67658f0b2e/media/foundations-of-rhetoric-and-composition/svg/3Foundations of Rhetoric and Composition diagram 3Foundations of Rhetoric and Composition - English Composition I - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="3" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background Layer --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Decorative Shapes --> <circle cx="850" cy="50" r="100" fill="#e879f9" fill-opacity="0.05"/> <circle cx="50" cy="510" r="80" fill="#38bdf8" fill-opacity="0.05"/> <!-- Header --> <text x="450" y="55" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" text-anchor="middle" letter-spacing="1">THE MODERN TALENT ARCHITECTURE</text> <text x="450" y="80" font-family="sans-serif" font-size="14" fill="#94a3b8" text-anchor="middle" font-style="italic">Employer Priorities and the Decoupling of Major vs. Career</text> <!-- Left Panel: The Statistic --> <rect x="30" y="110" width="250" height="420" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="50" y="145" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">THE SKILL SUPREMACY</text> <text x="155" y="220" font-family="sans-serif" font-weight="900" font-size="72" fill="#f59e0b" text-anchor="middle" filter="url(#glow)">95%</text> <text x="155" y="245" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc" text-anchor="middle">OF EMPLOYERS AGREE</text> <rect x="50" y="270" width="210" height="2" fill="#ffffff15"/> <text x="50" y="300" font-family="sans-serif" font-size="13" fill="#cbd5e1"> <tspan x="50" dy="1.4em">Capacity to think critically</tspan> <tspan x="50" dy="1.4em">and solve complex problems</tspan> <tspan x="50" dy="1.4em" font-weight="bold" fill="#f8fafc">is more important than</tspan> <tspan x="50" dy="1.4em">the undergraduate major.</tspan> </text> <text x="50" y="420" font-family="sans-serif" font-weight="700" font-size="14" fill="#e879f9">RESILIENCE vs. CHURNING</text> <text x="50" y="445" font-family="sans-serif" font-size="12" fill="#94a3b8"> <tspan x="50" dy="1.4em">Specialized majors offer low</tspan> <tspan x="50" dy="1.4em">resilience in declining fields.</tspan> <tspan x="50" dy="1.4em">Cross-cutting skills provide</tspan> <tspan x="50" dy="1.4em" fill="#38bdf8" font-weight="bold">PORTABILITY across industries.</tspan> </text> <!-- Center Panel: The T-Shaped Professional --> <rect x="300" y="110" width="300" height="420" rx="16" fill="#ffffff12" stroke="#ffffff20"/> <text x="450" y="145" font-family="sans-serif" font-weight="700" font-size="18" fill="#f8fafc" text-anchor="middle">THE T-SHAPED MODEL</text> <!-- T-Shape Graphic --> <!-- Horizontal Bar --> <rect x="330" y="180" width="240" height="45" rx="8" fill="#38bdf8" fill-opacity="0.2" stroke="#38bdf8" stroke-width="2"/> <text x="450" y="208" font-family="sans-serif" font-weight="700" font-size="14" fill="#38bdf8" text-anchor="middle">CROSS-CUTTING SKILLS (The Ceiling)</text> <!-- Vertical Bar --> <rect x="425" y="225" width="50" height="200" rx="8" fill="#e879f9" fill-opacity="0.2" stroke="#e879f9" stroke-width="2"/> <text x="450" y="445" font-family="sans-serif" font-weight="700" font-size="14" fill="#e879f9" text-anchor="middle">MAJOR (The Baseline)</text> <!-- Skill Labels around T --> <g font-family="sans-serif" font-size="11" fill="#f8fafc" font-weight="600"> <text x="335" y="170">ETHICAL DECISION-MAKING</text> <text x="465" y="170" text-anchor="end">INFORMATION LITERACY</text> <text x="335" y="245">INTERCULTURAL</text> <text x="485" y="245">QUANTITATIVE</text> </g> <!-- Right Panel: Innovation Loop --> <rect x="620" y="110" width="250" height="420" rx="16" fill="#ffffff08" stroke="#ffffff15"/> <text x="640" y="145" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">INNOVATION LOOP</text> <!-- Loop Steps --> <g transform="translate(640, 180)"> <!-- Step 1 --> <circle cx="15" cy="10" r="12" fill="#f59e0b"/> <text x="15" y="14" font-family="sans-serif" font-weight="800" font-size="10" fill="#0f172a" text-anchor="middle">1</text> <text x="40" y="10" font-family="sans-serif" font-weight="700" font-size="13" fill="#f8fafc">IDENTIFICATION</text> <text x="40" y="25" font-family="sans-serif" font-size="11" fill="#94a3b8">Critical Inquiry &amp; Research</text> <!-- Step 2 --> <circle cx="15" cy="60" r="12" fill="#f59e0b"/> <text x="15" y="64" font-family="sans-serif" font-weight="800" font-size="10" fill="#0f172a" text-anchor="middle">2</text> <text x="40" y="60" font-family="sans-serif" font-weight="700" font-size="13" fill="#f8fafc">CONTEXTUALIZATION</text> <text x="40" y="75" font-family="sans-serif" font-size="11" fill="#94a3b8">Systems Thinking &amp; Analysis</text> <!-- Step 3 --> <circle cx="15" cy="110" r="12" fill="#f59e0b"/> <text x="15" y="114" font-family="sans-serif" font-weight="800" font-size="10" fill="#0f172a" text-anchor="middle">3</text> <text x="40" y="110" font-family="sans-serif" font-weight="700" font-size="13" fill="#f8fafc">SYNTHESIS</text> <text 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stroke="#ffffff20" stroke-width="2" stroke-dasharray="4"/> <line x1="15" y1="72" x2="15" y2="98" stroke="#ffffff20" stroke-width="2" stroke-dasharray="4"/> <line x1="15" y1="122" x2="15" y2="148" stroke="#ffffff20" stroke-width="2" stroke-dasharray="4"/> <line x1="15" y1="172" x2="15" y2="198" stroke="#ffffff20" stroke-width="2" stroke-dasharray="4"/> </g> <!-- Footer Theorem --> <rect x="640" y="440" width="210" height="70" rx="8" fill="#00000030" stroke="#f59e0b20"/> <text x="650" y="460" font-family="serif" font-size="11" fill="#f59e0b" font-style="italic">Theorem of Skill Portability:</text> <text x="650" y="480" font-family="serif" font-size="13" fill="#f8fafc">V(t) = Sₜ(e⁻λᵗ) + S꜀(t)</text> <text x="650" y="498" font-family="sans-serif" font-size="9" fill="#94a3b8">Value = Technical Baseline + Cognitive Growth</text> <!-- Bottom Accents --> <rect x="30" y="545" width="840" height="4" rx="2" fill="#ffffff10"/> <rect x="30" y="545" width="400" height="4" rx="2" fill="#38bdf8"/> </svg>Employer Priorities and Cross-Cutting Skills image 1Employer Priorities and Cross-Cutting Skills - English Composition I - image 1https://www.getlykke.com/explore/public/english-composition-i-680eff28-9027-4c2c-bee0-1d67658f0b2e/media/employer-priorities-and-cross-cutting-skills/svg/1Employer Priorities and Cross-Cutting Skills diagram 1Employer Priorities and Cross-Cutting Skills - English Composition I - diagram 1https://www.getlykke.com/explore/public/english-composition-i-680eff28-9027-4c2c-bee0-1d67658f0b2e/media/employer-priorities-and-cross-cutting-skills/svg/2Employer Priorities and Cross-Cutting Skills diagram 2Employer Priorities and Cross-Cutting Skills - English Composition I - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#f59e0b"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header Section --> <text x="450" y="50" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">ACADEMIC LITERACY &amp; ESSAY ARCHITECTURE</text> <rect x="350" y="65" width="200" height="4" fill="url(#accentGrad)" rx="2"/> <text x="450" y="85" text-anchor="middle" font-family="sans-serif" font-size="14" fill="#94a3b8" font-style="italic">The Technical Stack for Global Scholarly Conversation</text> <!-- Column 1: The Rhetorical Situation (Inputs) --> <rect x="40" y="120" width="260" height="300" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="150" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">01. THE INPUTS</text> <text x="60" y="170" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">The Rhetorical Situation</text> <!-- Rhetorical Components --> <g transform="translate(60, 195)"> <circle cx="12" cy="12" r="12" fill="#38bdf822" stroke="#38bdf8" stroke-width="1.5"/> <path d="M12 7v10M7 12h10" stroke="#38bdf8" stroke-width="2"/> <text x="35" y="10" font-family="sans-serif" font-weight="700" font-size="12" fill="#f8fafc">EXIGENCE</text> <text x="35" y="24" font-family="sans-serif" font-size="11" fill="#94a3b8">The "Spark" or urgent need</text> </g> <g transform="translate(60, 245)"> <circle cx="12" cy="12" r="12" fill="#38bdf822" stroke="#38bdf8" stroke-width="1.5"/> <circle cx="12" cy="10" r="4" stroke="#38bdf8" fill="none"/> <path d="M6 18c0-3 3-4 6-4s6 1 6 4" stroke="#38bdf8" fill="none"/> <text x="35" y="10" font-family="sans-serif" font-weight="700" font-size="12" fill="#f8fafc">AUDIENCE</text> <text x="35" y="24" font-family="sans-serif" font-size="11" fill="#94a3b8">Knowledge level &amp; bias</text> </g> <g transform="translate(60, 295)"> <circle cx="12" cy="12" r="12" fill="#38bdf822" stroke="#38bdf8" stroke-width="1.5"/> <circle cx="12" cy="12" r="6" stroke="#38bdf8" fill="none"/> <circle cx="12" cy="12" r="2" fill="#38bdf8"/> <text x="35" y="10" font-family="sans-serif" font-weight="700" font-size="12" fill="#f8fafc">PURPOSE</text> <text x="35" y="24" font-family="sans-serif" font-size="11" fill="#94a3b8">Persuade, inform, or analyze</text> </g> <g transform="translate(60, 345)"> <circle cx="12" cy="12" r="12" fill="#38bdf822" stroke="#38bdf8" stroke-width="1.5"/> <rect x="7" y="7" width="10" height="10" stroke="#38bdf8" fill="none"/> <text x="35" y="10" font-family="sans-serif" font-weight="700" font-size="12" fill="#f8fafc">CONSTRAINTS</text> <text x="35" y="24" font-family="sans-serif" font-size="11" fill="#94a3b8">Medium, scope, &amp; guidelines</text> </g> <!-- Column 2: The Logic Engine (Pillars) --> <rect x="320" y="120" width="260" height="300" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="340" y="150" font-family="sans-serif" font-weight="700" font-size="18" fill="#f59e0b">02. THE ENGINE</text> <text x="340" y="170" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">The Rhetorical Appeals</text> <!-- Logos/Ethos/Pathos Visualization --> <path d="M450 200 L530 330 L370 330 Z" fill="none" stroke="#f59e0b" stroke-width="2" stroke-dasharray="4 2"/> <g transform="translate(450, 200)"> <circle r="25" fill="#0f172a" stroke="#f59e0b" stroke-width="2"/> <text y="-35" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="13" fill="#f59e0b">LOGOS</text> <text y="5" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#f8fafc">Logic/CPU</text> </g> <g transform="translate(370, 330)"> <circle r="25" fill="#0f172a" stroke="#f59e0b" stroke-width="2"/> <text y="45" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="13" fill="#f59e0b">ETHOS</text> <text y="5" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#f8fafc">Credibility</text> </g> <g transform="translate(530, 330)"> <circle r="25" fill="#0f172a" stroke="#f59e0b" stroke-width="2"/> <text y="45" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="13" fill="#f59e0b">PATHOS</text> <text y="5" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#f8fafc">Human Stake</text> </g> <text x="450" y="395" text-anchor="middle" font-family="sans-serif" font-size="12" fill="#94a3b8" font-style="italic">"The Thesis is the Root Node of the Argument DAG"</text> <!-- Column 3: Structural Engineering (Output) --> <rect x="600" y="120" width="260" height="300" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="620" y="150" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">03. THE OUTPUT</text> <text x="620" y="170" font-family="sans-serif" font-weight="600" font-size="14" fill="#f8fafc">Essay Architecture (IBC)</text> <!-- IBC Stack --> <g transform="translate(620, 190)"> <rect width="220" height="40" rx="4" fill="#e879f922" stroke="#e879f9"/> <text x="110" y="25" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="12" fill="#f8fafc">INTRODUCTION / THESIS</text> <text x="110" y="55" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">The "Header File" &amp; Central Pointer</text> </g> <g transform="translate(620, 265)"> <rect width="220" height="65" rx="4" fill="#ffffff05" stroke="#ffffff22"/> <text x="110" y="20" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="12" fill="#f8fafc">BODY PARAGRAPHS (P.I.E.)</text> <text x="110" y="38" text-anchor="middle" font-family="sans-serif" font-size="11" fill="#e879f9">Point • Information • Explanation</text> <text x="110" y="53" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">Discrete modules of evidence</text> </g> <g transform="translate(620, 355)"> <rect width="220" height="40" rx="4" fill="#e879f922" stroke="#e879f9"/> <text x="110" y="25" text-anchor="middle" font-family="sans-serif" font-weight="700" font-size="12" fill="#f8fafc">CONCLUSION</text> <text x="110" y="55" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">Synthesis &amp; Future State</text> </g> <!-- Bottom Bar: System Vulnerabilities --> <rect x="40" y="445" width="820" height="85" rx="16" fill="#ef444411" stroke="#ef444444"/> <text x="60" y="475" font-family="sans-serif" font-weight="700" font-size="16" fill="#ef4444">SYSTEM VULNERABILITIES: LOGICAL FALLACIES</text> <g font-family="sans-serif" font-size="11" fill="#f8fafc"> <text x="60" y="500"><tspan font-weight="bold" fill="#ef4444">AD HOMINEM:</tspan> Attacking the source code, not the logic.</text> <text x="330" y="500"><tspan font-weight="bold" fill="#ef4444">STRAW MAN:</tspan> Attacking a misconfigured version of the argument.</text> <text x="630" y="500"><tspan font-weight="bold" fill="#ef4444">NON SEQUITUR:</tspan> The output does not follow input.</text> </g> <!-- Decorative Connectors --> <path d="M300 270 L320 270" stroke="#ffffff22" stroke-width="2" marker-end="url(#arrow)"/> <path d="M580 270 L600 270" stroke="#ffffff22" stroke-width="2"/> <defs> <marker id="arrow" markerWidth="10" markerHeight="10" refX="9" refY="3" orient="auto" markerUnits="strokeWidth"> <path d="M0,0 L0,6 L9,3 z" fill="#ffffff22" /> </marker> </defs> </svg>Academic Literacy and Essay Structure image 1Academic Literacy and Essay Structure - English Composition I - image 1https://www.getlykke.com/explore/public/english-composition-i-680eff28-9027-4c2c-bee0-1d67658f0b2e/media/academic-literacy-and-essay-structure/svg/1Academic Literacy and Essay Structure diagram 1Academic Literacy and Essay Structure - English Composition I - diagram 1https://www.getlykke.com/explore/public/english-composition-i-680eff28-9027-4c2c-bee0-1d67658f0b2e/media/academic-literacy-and-essay-structure/svg/2Academic Literacy and Essay Structure diagram 2Academic Literacy and Essay Structure - English Composition I - diagram 2https://www.getlykke.com/explore/public/english-composition-i-680eff28-9027-4c2c-bee0-1d67658f0b2e/media/academic-literacy-and-essay-structure/svg/3Academic Literacy and Essay Structure diagram 3Academic Literacy and Essay Structure - English Composition I - diagram 3https://www.getlykke.com/explore/public/writing-guide-4372fb47-284d-4f25-92be-4e5a91b35ebd2026-04-20T04:35:48.000Z<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <linearGradient id="accentGrad" x1="0" y1="0" x2="1" y2="0"> <stop offset="0%" stop-color="#38bdf8"/> <stop offset="100%" stop-color="#e879f9"/> </linearGradient> <pattern id="dotPattern" x="0" y="0" width="20" height="20" patternUnits="userSpaceOnUse"> <circle cx="2" cy="2" r="1" fill="#ffffff08"/> </pattern> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#dotPattern)"/> <!-- Header Section --> <text x="450" y="60" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-weight="800" font-size="32" letter-spacing="-0.5">GENRE &amp; INCLUSIVE RHETORIC</text> <rect x="350" y="75" width="200" height="4" rx="2" fill="url(#accentGrad)"/> <text x="450" y="100" text-anchor="middle" fill="#94a3b8" font-family="sans-serif" font-size="14" font-weight="500" letter-spacing="2">THE ARCHITECTURE OF SOCIAL ACTION</text> <!-- Left Panel: Genre-Based Writing --> <rect x="40" y="130" width="380" height="220" rx="16" fill="#ffffff08" stroke="#38bdf833" stroke-width="1"/> <circle cx="80" cy="165" r="18" fill="#38bdf822"/> <path d="M72 158h16v14h-16z M72 162h16 M72 166h16" stroke="#38bdf8" stroke-width="2" fill="none"/> <text x="110" y="170" fill="#38bdf8" font-family="sans-serif" font-weight="bold" font-size="18">Genre-Based Writing</text> <text x="70" y="205" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="600">Typified Rhetorical Action</text> <text x="70" y="225" fill="#94a3b8" font-family="sans-serif" font-size="12" width="320"> <tspan x="70" dy="0">Writing is a functional response to recurring</tspan> <tspan x="70" dy="18">social situations. It follows "moves" that</tspan> <tspan x="70" dy="18">audiences recognize and expect.</tspan> </text> <!-- Genre Constraints List --> <rect x="70" y="275" width="320" height="55" rx="8" fill="#00000033"/> <text x="85" y="295" fill="#38bdf8" font-family="monospace" font-size="11">CONSTRAINTS AUDIT:</text> <text x="85" y="312" fill="#f8fafc" font-family="sans-serif" font-size="11">Structure • Tone • Vocabulary • Visual Cues</text> <!-- Right Panel: Inclusive Rhetoric --> <rect x="480" y="130" width="380" height="220" rx="16" fill="#ffffff08" stroke="#e879f933" stroke-width="1"/> <circle cx="520" cy="165" r="18" fill="#e879f922"/> <circle cx="515" cy="165" r="6" stroke="#e879f9" stroke-width="1.5" fill="none"/> <circle cx="525" cy="165" r="6" stroke="#e879f9" stroke-width="1.5" fill="none"/> <text x="550" y="170" fill="#e879f9" font-family="sans-serif" font-weight="bold" font-size="18">Inclusive Rhetoric</text> <text x="510" y="205" fill="#f8fafc" font-family="sans-serif" font-size="14" font-weight="600">Beyond the "Universal Reader"</text> <text x="510" y="225" fill="#94a3b8" font-family="sans-serif" font-size="12"> <tspan x="510" dy="0">Intentional language that recognizes diversity</tspan> <tspan x="510" dy="18">and avoids bias. It centers intersectional</tspan> <tspan x="510" dy="18">identities and technical precision.</tspan> </text> <!-- Inclusivity Pillars --> <g transform="translate(510, 275)"> <rect width="100" height="55" rx="8" fill="#e879f915"/> <text x="50" y="25" text-anchor="middle" fill="#e879f9" font-family="sans-serif" font-weight="bold" font-size="10">EMPATHY</text> <text x="50" y="40" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="9">User-Centered</text> <rect x="110" width="100" height="55" rx="8" fill="#e879f915"/> <text x="160" y="25" text-anchor="middle" fill="#e879f9" font-family="sans-serif" font-weight="bold" font-size="10">EQUITY</text> <text x="160" y="40" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="9">Power Dynamics</text> <rect x="220" width="100" height="55" rx="8" fill="#e879f915"/> <text x="270" y="25" text-anchor="middle" fill="#e879f9" font-family="sans-serif" font-weight="bold" font-size="10">CLARITY</text> <text x="270" y="40" text-anchor="middle" fill="#f8fafc" font-family="sans-serif" font-size="9">Bias Mitigation</text> </g> <!-- Central Bridge: The Rhetorical Situation --> <path d="M420 240 Q450 240 480 240" stroke="#f59e0b" stroke-width="2" stroke-dasharray="4 4" fill="none"/> <circle cx="450" cy="380" r="100" fill="#f59e0b11" stroke="#f59e0b" stroke-width="1" stroke-dasharray="2 2"/> <text x="450" y="375" text-anchor="middle" fill="#f59e0b" font-family="sans-serif" font-weight="800" font-size="14">RHETORICAL</text> <text x="450" y="392" text-anchor="middle" fill="#f59e0b" font-family="sans-serif" font-weight="800" font-size="14">SITUATION</text> <!-- Variables around the circle --> <g font-family="sans-serif" font-size="11" font-weight="bold"> <circle cx="450" cy="280" r="4" fill="#f59e0b"/> <text x="450" y="270" text-anchor="middle" fill="#f8fafc">PURPOSE</text> <circle cx="540" cy="340" r="4" fill="#f59e0b"/> <text x="550" y="344" text-anchor="start" fill="#f8fafc">AUDIENCE</text> <circle cx="510" cy="450" r="4" fill="#f59e0b"/> <text x="510" y="465" text-anchor="middle" fill="#f8fafc">STANCE</text> <circle cx="390" cy="450" r="4" fill="#f59e0b"/> <text x="390" y="465" text-anchor="middle" fill="#f8fafc">CONTEXT</text> <circle cx="360" cy="340" r="4" fill="#f59e0b"/> <text x="350" y="344" text-anchor="end" fill="#f8fafc">MEDIUM</text> </g> <!-- Bottom Section: Move Analysis Flow --> <rect x="40" y="490" width="820" height="50" rx="12" fill="#ffffff05" stroke="#94a3b822"/> <text x="60" y="520" fill="#94a3b8" font-family="sans-serif" font-weight="bold" font-size="12">MOVE ANALYSIS:</text> <g transform="translate(180, 510)" font-family="monospace" font-size="10"> <rect x="0" y="0" width="100" height="20" rx="4" fill="#38bdf822"/> <text x="50" y="14" text-anchor="middle" fill="#38bdf8">BACKGROUND</text> <path d="M105 10 L115 10" stroke="#94a3b8" stroke-width="1"/> <rect x="120" y="0" width="80" height="20" rx="4" fill="#38bdf822"/> <text x="160" y="14" text-anchor="middle" fill="#38bdf8">THE GAP</text> <path d="M205 10 L215 10" stroke="#94a3b8" stroke-width="1"/> <rect x="220" y="0" width="110" height="20" rx="4" fill="#38bdf822"/> <text x="275" y="14" text-anchor="middle" fill="#38bdf8">METHODOLOGY</text> <path d="M335 10 L345 10" stroke="#94a3b8" stroke-width="1"/> <rect x="350" y="0" width="90" height="20" rx="4" fill="#38bdf822"/> <text x="395" y="14" text-anchor="middle" fill="#38bdf8">RESULTS</text> <path d="M445 10 L455 10" stroke="#94a3b8" stroke-width="1"/> <rect x="460" y="0" width="100" height="20" rx="4" fill="#38bdf822"/> <text x="510" y="14" text-anchor="middle" fill="#38bdf8">CONCLUSION</text> </g> <!-- Decorative elements --> <circle cx="850" cy="50" r="30" fill="none" stroke="#ffffff05" stroke-width="8"/> <circle cx="50" cy="510" r="20" fill="none" stroke="#f59e0b11" stroke-width="4"/> </svg>Genre-Based Writing and Inclusive Rhetoric image 1Genre-Based Writing and Inclusive Rhetoric - Writing Guide - image 1https://www.getlykke.com/explore/public/writing-guide-4372fb47-284d-4f25-92be-4e5a91b35ebd/media/genre-and-inclusive-rhetoric/svg/1Genre-Based Writing and Inclusive Rhetoric diagram 1Genre-Based Writing and Inclusive Rhetoric - Writing Guide - diagram 1https://www.getlykke.com/explore/public/writing-guide-4372fb47-284d-4f25-92be-4e5a91b35ebd/media/genre-and-inclusive-rhetoric/svg/2Genre-Based Writing and Inclusive Rhetoric diagram 2Genre-Based Writing and Inclusive Rhetoric - Writing Guide - diagram 2<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="40" height="40" patternUnits="userSpaceOnUse"> <path d="M 40 0 L 0 0 0 40" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="3" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="40" y="55" font-family="sans-serif" font-size="30" font-weight="800" fill="#f8fafc" letter-spacing="-0.5">THE WRITING PROCESS &amp; RHETORIC</text> <text x="40" y="82" font-family="sans-serif" font-size="14" font-weight="400" fill="#94a3b8" text-transform="uppercase" letter-spacing="2">A Recursive System of Cognitive Design</text> <line x1="40" y1="100" x2="860" y2="100" stroke="#ffffff15" stroke-width="1"/> <!-- Left Panel: The Recursive Lifecycle --> <rect x="40" y="125" width="410" height="400" rx="16" fill="#ffffff05" stroke="#ffffff10"/> <text x="65" y="155" font-family="sans-serif" font-size="18" font-weight="700" fill="#38bdf8">I. THE RECURSIVE LIFECYCLE</text> <!-- Step 1 --> <rect x="65" y="175" width="360" height="55" rx="8" fill="#ffffff08"/> <circle cx="90" cy="202" r="12" fill="#38bdf820" stroke="#38bdf8" stroke-width="2"/> <text x="86" y="207" font-family="sans-serif" font-size="12" font-weight="bold" fill="#38bdf8">1</text> <text x="115" y="195" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">Pre-writing</text> <text x="115" y="212" font-family="sans-serif" font-size="11" fill="#94a3b8">Idea generation &amp; constraint mapping</text> <!-- Step 2 --> <rect x="65" y="240" width="360" height="55" rx="8" fill="#ffffff08"/> <circle cx="90" cy="267" r="12" fill="#e879f920" stroke="#e879f9" stroke-width="2"/> <text x="86" y="272" font-family="sans-serif" font-size="12" font-weight="bold" fill="#e879f9">2</text> <text x="115" y="260" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">Drafting</text> <text x="115" y="277" font-family="sans-serif" font-size="11" fill="#94a3b8">Converting abstract ideas into syntax</text> <!-- Step 3/4 (Grouped for recursion visual) --> <rect x="65" y="305" width="360" height="120" rx="8" fill="#ffffff08" stroke="#f59e0b40" stroke-dasharray="4"/> <circle cx="90" cy="332" r="12" fill="#f59e0b20" stroke="#f59e0b" stroke-width="2"/> <text x="86" y="337" font-family="sans-serif" font-size="12" font-weight="bold" fill="#f59e0b">3</text> <text x="115" y="332" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">Revision &amp; Peer Review</text> <text x="115" y="352" font-family="sans-serif" font-size="11" fill="#94a3b8" width="200">Structural re-architecture and external validation.</text> <!-- Recursive Arrow --> <path d="M 380 340 Q 430 340 430 267 Q 430 202 390 202" fill="none" stroke="#f59e0b" stroke-width="2" stroke-dasharray="5,3" marker-end="url(#arrowhead)"/> <text x="350" y="275" font-family="sans-serif" font-size="10" font-weight="bold" fill="#f59e0b" transform="rotate(-90 350 275)">RECURSION LOOP</text> <!-- Step 5 --> <rect x="65" y="435" width="360" height="55" rx="8" fill="#ffffff08"/> <circle cx="90" cy="462" r="12" fill="#10b98120" stroke="#10b981" stroke-width="2"/> <text x="86" y="467" font-family="sans-serif" font-size="12" font-weight="bold" fill="#10b981">5</text> <text x="115" y="455" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc">Editing</text> <text x="115" y="472" font-family="sans-serif" font-size="11" fill="#94a3b8">Surface-level optimization &amp; polish</text> <!-- Right Panel: Rhetorical Strategies --> <rect x="470" y="125" width="390" height="400" rx="16" fill="#ffffff05" stroke="#ffffff10"/> <text x="495" y="155" font-family="sans-serif" font-size="18" font-weight="700" fill="#e879f9">II. THE RHETORICAL TRIANGLE</text> <!-- Triangle Graphic --> <g transform="translate(540, 200)"> <!-- Outer Ring (Kairos/Telos) --> <circle cx="125" cy="110" r="105" fill="none" stroke="#ffffff10" stroke-width="1" stroke-dasharray="8,4"/> <text x="125" y="-5" font-family="sans-serif" font-size="12" font-weight="bold" fill="#94a3b8" text-anchor="middle">KAIROS (Timing)</text> <text x="125" y="235" font-family="sans-serif" font-size="12" font-weight="bold" fill="#94a3b8" text-anchor="middle">TELOS (Purpose)</text> <!-- Main Triangle --> <path d="M 125 30 L 225 180 L 25 180 Z" fill="#ffffff05" stroke="#f8fafc" stroke-width="2" filter="url(#glow)"/> <!-- Nodes --> <circle cx="125" cy="30" r="6" fill="#38bdf8"/> <text x="125" y="15" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc" text-anchor="middle">ETHOS</text> <text x="125" y="50" font-family="sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">Credibility</text> <circle cx="25" cy="180" r="6" fill="#e879f9"/> <text x="25" y="200" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc" text-anchor="middle">PATHOS</text> <text x="25" y="215" font-family="sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">Emotion</text> <circle cx="225" cy="180" r="6" fill="#f59e0b"/> <text x="225" y="200" font-family="sans-serif" font-size="14" font-weight="bold" fill="#f8fafc" text-anchor="middle">LOGOS</text> <text x="225" y="215" font-family="sans-serif" font-size="10" fill="#94a3b8" text-anchor="middle">Logic</text> </g> <!-- Formula Box --> <rect x="495" y="445" width="340" height="60" rx="8" fill="#00000030" stroke="#ffffff10"/> <text x="515" y="470" font-family="serif" font-style="italic" font-size="18" fill="#f8fafc">RS = f(A, P, C, E, K)</text> <text x="515" y="490" font-family="sans-serif" font-size="10" fill="#94a3b8">Audience, Purpose, Context, Exigence, Kairos</text> <!-- Arrowhead definition --> <marker id="arrowhead" markerWidth="10" markerHeight="7" refX="0" refY="3.5" orient="auto"> <polygon points="0 0, 10 3.5, 0 7" fill="#f59e0b" /> </marker> <!-- Decorative elements --> <circle cx="850" cy="50" r="20" fill="#38bdf810"/> <circle cx="850" cy="50" r="10" fill="#38bdf820"/> </svg>The Writing Process and Rhetorical Strategies image 1The Writing Process and Rhetorical Strategies - Writing Guide - image 1https://www.getlykke.com/explore/public/writing-guide-4372fb47-284d-4f25-92be-4e5a91b35ebd/media/writing-process-and-strategies/svg/1The Writing Process and Rhetorical Strategies diagram 1The Writing Process and Rhetorical Strategies - Writing Guide - diagram 1https://www.getlykke.com/explore/public/writing-guide-4372fb47-284d-4f25-92be-4e5a91b35ebd/media/writing-process-and-strategies/svg/2The Writing Process and Rhetorical Strategies diagram 2The Writing Process and Rhetorical Strategies - Writing Guide - diagram 2https://www.getlykke.com/explore/public/writing-guide-4372fb47-284d-4f25-92be-4e5a91b35ebd/media/writing-process-and-strategies/svg/3The Writing Process and Rhetorical Strategies diagram 3The Writing Process and Rhetorical Strategies - Writing Guide - diagram 3<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 560"> <defs> <linearGradient id="bg-grad" x1="0" y1="0" x2="0" y2="1"> <stop offset="0%" stop-color="#0f172a"/> <stop offset="100%" stop-color="#1e1b4b"/> </linearGradient> <pattern id="grid" width="30" height="30" patternUnits="userSpaceOnUse"> <path d="M 30 0 L 0 0 0 30" fill="none" stroke="#ffffff08" stroke-width="1"/> </pattern> <filter id="glow"> <feGaussianBlur stdDeviation="2" result="coloredBlur"/> <feMerge> <feMergeNode in="coloredBlur"/> <feMergeNode in="SourceGraphic"/> </feMerge> </filter> </defs> <!-- Background --> <rect width="900" height="560" fill="url(#bg-grad)"/> <rect width="900" height="560" fill="url(#grid)"/> <!-- Header --> <text x="450" y="60" text-anchor="middle" font-family="sans-serif" font-weight="800" font-size="32" fill="#f8fafc" letter-spacing="1">GRAMMAR &amp; MECHANICS HANDBOOK</text> <text x="450" y="85" text-anchor="middle" font-family="sans-serif" font-size="14" font-weight="400" fill="#94a3b8" letter-spacing="3">THE TECHNICAL SPECIFICATION FOR HUMAN COMMUNICATION</text> <line x1="300" y1="105" x2="600" y2="105" stroke="#38bdf8" stroke-width="2" stroke-dasharray="4 4"/> <!-- Left Column: Sentence Architecture --> <rect x="40" y="130" width="260" height="300" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="60" y="165" font-family="sans-serif" font-weight="700" font-size="18" fill="#38bdf8">Sentence Architecture</text> <text x="60" y="185" font-family="sans-serif" font-size="12" fill="#94a3b8">The "Control Flow" of thought.</text> <!-- Architecture Visual --> <g transform="translate(60, 210)"> <rect width="220" height="35" rx="8" fill="#38bdf820" stroke="#38bdf8" stroke-width="1"/> <text x="110" y="22" text-anchor="middle" font-family="monospace" font-size="12" fill="#f8fafc">Independent Clause</text> <path d="M 110 35 L 110 60" stroke="#94a3b8" stroke-width="2" fill="none" marker-end="url(#arrow)"/> <g transform="translate(0, 65)"> <rect width="100" height="60" rx="8" fill="#ef444420" stroke="#ef4444" stroke-width="1"/> <text x="50" y="25" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="11" fill="#f8fafc">FRAGMENT</text> <text x="50" y="42" text-anchor="middle" font-family="sans-serif" font-size="9" fill="#94a3b8">Missing Subject/Verb</text> <rect x="120" width="100" height="60" rx="8" fill="#f59e0b20" stroke="#f59e0b" stroke-width="1"/> <text x="170" y="25" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="11" fill="#f8fafc">RUN-ON</text> <text x="170" y="42" text-anchor="middle" font-family="sans-serif" font-size="9" fill="#94a3b8">Unterminated Flow</text> </g> <rect y="140" width="220" height="60" rx="8" fill="#ffffff05" stroke="#ffffff20" stroke-dasharray="4"/> <text x="110" y="165" text-anchor="middle" font-family="sans-serif" font-weight="bold" font-size="11" fill="#f8fafc">COMMA SPLICE</text> <text x="110" y="182" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">Error: Weak Joiner [ , ]</text> </g> <!-- Center Column: The Parser --> <rect x="320" y="130" width="260" height="300" rx="16" fill="#ffffff0a" stroke="#ffffff15"/> <text x="340" y="165" font-family="sans-serif" font-weight="700" font-size="18" fill="#e879f9">Syntax Parser</text> <text x="340" y="185" font-family="sans-serif" font-size="12" fill="#94a3b8">Recursive Descent Logic</text> <g transform="translate(340, 210)"> <circle cx="110" cy="20" r="15" fill="#e879f920" stroke="#e879f9" stroke-width="2"/> <text x="110" y="25" text-anchor="middle" font-family="monospace" font-weight="bold" font-size="14" fill="#f8fafc">S</text> <path d="M 100 35 L 60 70 M 120 35 L 160 70" stroke="#94a3b8" stroke-width="2"/> <rect x="20" y="70" width="80" height="30" rx="4" fill="#ffffff10" stroke="#ffffff20"/> <text x="60" y="90" text-anchor="middle" font-family="monospace" font-size="12" fill="#f8fafc">NP</text> <rect x="120" y="70" width="80" height="30" rx="4" fill="#ffffff10" stroke="#ffffff20"/> <text x="160" y="90" text-anchor="middle" font-family="monospace" font-size="12" fill="#f8fafc">VP</text> <text x="60" y="120" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">Noun Phrase</text> <text x="160" y="120" text-anchor="middle" font-family="sans-serif" font-size="10" fill="#94a3b8">Verb Phrase</text> <g transform="translate(10, 150)"> <rect width="200" height="50" rx="8" fill="#00000040" stroke="#e879f940"/> <text x="10" y="20" font-family="monospace" font-size="10" fill="#e879f9">def validate(tokens):</text> <text x="20" y="35" font-family="monospace" font-size="10" fill="#f8fafc">return match(S, tokens)</text> </g> </g> <!-- Right Column: Logical Operators --> <rect x="600" 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and Combining Datasets diagram 1Reshaping and Combining Datasets - pandas documentation - diagram 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Data: Time Series and Text image 1Specialized Data: Time Series and Text - pandas documentation - image 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  <text x="450" y="40" text-anchor="middle" font-family="system-ui, -apple-system, sans-serif" font-size="22" font-weight="bold" fill="#1e293b">Pandas Documentation Ecosystem</text>
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  <text x="450" y="40" text-anchor="middle" font-family="system-ui, -apple-system, sans-serif" font-size="22" font-weight="bold" fill="#1e293b">The Claude Model Family Ecosystem</text>
  <text x="450" y="65" text-anchor="middle" font-family="system-ui, -apple-system, sans-serif" font-size="14" fill="#64748b">A tiered hierarchy optimized for the Pareto frontier of intelligence, speed, and cost.</text>

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