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| <title>Mathematics - Programming Framework Analysis</title> | |
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| <div class="container"> | |
| <h1>Mathematics - Programming Framework Analysis</h1> | |
| <p class="subtitle">Systematic visualization of mathematical processes and computational logic</p> | |
| <section class="overview"> | |
| <h2>Mathematics Overview</h2> | |
| <p>This collection demonstrates the Programming Framework's application to mathematical processes across all major branches of mathematics. Each batch contains detailed flowcharts representing the computational logic and reasoning patterns inherent in mathematical operations.</p> | |
| <div class="color-legend"> | |
| <h3>Universal Color Coding System</h3> | |
| <div class="color-grid"> | |
| <div class="color-item"> | |
| <span class="color-box" style="background: #ff6b6b;"></span> | |
| <span class="color-label">Red - Triggers & Inputs</span> | |
| </div> | |
| <div class="color-item"> | |
| <span class="color-box" style="background: #ffd43b;"></span> | |
| <span class="color-label">Yellow - Structures & Objects</span> | |
| </div> | |
| <div class="color-item"> | |
| <span class="color-box" style="background: #51cf66;"></span> | |
| <span class="color-label">Green - Processing & Operations</span> | |
| </div> | |
| <div class="color-item"> | |
| <span class="color-box" style="background: #74c0fc;"></span> | |
| <span class="color-label">Blue - Intermediates & States</span> | |
| </div> | |
| <div class="color-item"> | |
| <span class="color-box" style="background: #b197fc;"></span> | |
| <span class="color-label">Violet - Products & Outputs</span> | |
| </div> | |
| </div> | |
| </div> | |
| </section> | |
| <section class="batch-navigation"> | |
| <h2>Mathematics Process Batches</h2> | |
| <div class="batch-category"> | |
| <h3>🔢 Number Theory</h3> | |
| <div class="batch-links"> | |
| <a href="mathematics_batch_01.html" class="batch-link"> | |
| <span class="batch-number">Batch 01</span> | |
| <span class="batch-title">Prime Factorization & Modular Arithmetic</span> | |
| <span class="batch-count">3 processes</span> | |
| </a> | |
| </div> | |
| </div> | |
| <div class="batch-category"> | |
| <h3>📊 Analysis & Calculus</h3> | |
| <div class="batch-links"> | |
| <a href="mathematics_batch_02.html" class="batch-link"> | |
| <span class="batch-number">Batch 02</span> | |
| <span class="batch-title">Series Expansion & Differential Equations</span> | |
| <span class="batch-count">3 processes</span> | |
| </a> | |
| </div> | |
| </div> | |
| <div class="batch-category"> | |
| <h3>🔗 Abstract Algebra</h3> | |
| <div class="batch-links"> | |
| <a href="mathematics_batch_03.html" class="batch-link"> | |
| <span class="batch-number">Batch 03</span> | |
| <span class="batch-title">Group Theory & Ring Theory</span> | |
| <span class="batch-count">3 processes</span> | |
| </a> | |
| </div> | |
| </div> | |
| <div class="batch-category"> | |
| <h3>📐 Geometry & Topology</h3> | |
| <div class="batch-links"> | |
| <a href="mathematics_batch_04.html" class="batch-link"> | |
| <span class="batch-number">Batch 04</span> | |
| <span class="batch-title">Geometric Constructions & Topological Transformations</span> | |
| <span class="batch-count">3 processes</span> | |
| </a> | |
| </div> | |
| </div> | |
| <div class="batch-category"> | |
| <h3>⚙️ Applied Mathematics</h3> | |
| <div class="batch-links"> | |
| <a href="mathematics_batch_05.html" class="batch-link"> | |
| <span class="batch-number">Batch 05</span> | |
| <span class="batch-title">Numerical Methods & Statistical Analysis</span> | |
| <span class="batch-count">3 processes</span> | |
| </a> | |
| </div> | |
| </div> | |
| <div class="batch-category"> | |
| <h3>🕸️ Discrete Mathematics</h3> | |
| <div class="batch-links"> | |
| <a href="mathematics_batch_06.html" class="batch-link"> | |
| <span class="batch-number">Batch 06</span> | |
| <span class="batch-title">Graph Theory & Combinatorics</span> | |
| <span class="batch-count">3 processes</span> | |
| </a> | |
| </div> | |
| </div> | |
| <div class="batch-category"> | |
| <h3>🏛️ Historical & Educational</h3> | |
| <div class="batch-links"> | |
| <a href="mathematics_batch_07.html" class="batch-link"> | |
| <span class="batch-number">Batch 07</span> | |
| <span class="batch-title">Euclid's Geometry & Aristotle's Syllogism</span> | |
| <span class="batch-count">2 processes</span> | |
| </a> | |
| </div> | |
| </div> | |
| </section> | |
| <div class="navigation"> | |
| <h3>Navigation</h3> | |
| <div class="nav-links"> | |
| <a href="index.html" class="nav-link">← Back to Programming Framework</a> | |
| <a href="biology_processes.html" class="nav-link">Biology Processes</a> | |
| <a href="chemistry_processes.html" class="nav-link">Chemistry Processes</a> | |
| <a href="computer_science_processes.html" class="nav-link">Computer Science Processes</a> | |
| <a href="physics_processes.html" class="nav-link">Physics Processes</a> | |
| </div> | |
| </section> | |
| <div class="footer"> | |
| <p><strong>Generated using the Programming Framework methodology</strong></p> | |
| <p>Each flowchart preserves maximum detail through optimized Mermaid configuration</p> | |
| <div class="contact-info"> | |
| <p><strong>Gary Welz</strong></p> | |
| <p>Retired Faculty Member</p> | |
| <p>John Jay College, CUNY (Department of Mathematics and Computer Science)</p> | |
| <p>Borough of Manhattan Community College, CUNY</p> | |
| <p>CUNY Graduate Center (New Media Lab)</p> | |
| <p>Email: gwelz@jjay.cuny.edu</p> | |
| </div> | |
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