garywelz/programming_framework
0
1<!DOCTYPE html>2<html lang="en">3<head>4 <meta charset="UTF-8" />5 <meta name="viewport" content="width=device-width, initial-scale=1" />6 <title>Mathematics - Programming Framework Analysis</title>7 <style>8 body { 9 font-family: 'Times New Roman', Times, serif, 'Arial Unicode MS'; 10 margin: 0; 11 background: #ffffff; 12 color: #000000; 13 line-height: 1.6; 14 font-size: 12pt; 15 }16 .container { 17 max-width: 1000px; 18 margin: 0 auto; 19 padding: 1.5rem; 20 }21 h1, h2, h3 { 22 color: #000000; 23 margin-top: 1.5rem; 24 margin-bottom: 0.75rem; 25 }26 h1 { 27 font-size: 18pt; 28 text-align: center; 29 }30 h2 { 31 font-size: 16pt; 32 border-bottom: 2px solid #000; 33 padding-bottom: 0.5rem; 34 }35 h3 { 36 font-size: 14pt; 37 }38 p { 39 margin-bottom: 1rem; 40 text-align: justify; 41 }42 .subtitle {43 text-align: center;44 font-style: italic;45 color: #666;46 margin-bottom: 2rem;47 }48 .overview {49 margin: 2rem 0;50 padding: 1.5rem;51 background: #f8f9fa;52 border-radius: 8px;53 }54 .color-legend {55 margin: 2rem 0;56 }57 .color-grid {58 display: flex;59 flex-wrap: wrap;60 gap: 1rem;61 justify-content: center;62 margin: 1rem 0;63 }64 .color-item {65 display: flex;66 align-items: center;67 gap: 0.5rem;68 padding: 0.5rem 1rem;69 background: white;70 border: 1px solid #ddd;71 border-radius: 4px;72 }73 .color-box {74 width: 20px;75 height: 20px;76 border-radius: 4px;77 border: 1px solid #ccc;78 }79 .batch-navigation {80 margin: 3rem 0;81 }82 .batch-category {83 margin: 2rem 0;84 padding: 1.5rem;85 background: #f8f9fa;86 border-radius: 8px;87 }88 .batch-links {89 margin-top: 1rem;90 }91 .batch-link {92 display: block;93 padding: 1rem;94 background: white;95 border: 1px solid #ddd;96 border-radius: 8px;97 text-decoration: none;98 color: #000;99 transition: all 0.3s ease;100 margin-bottom: 1rem;101 }102 .batch-link:hover {103 background: #007bff;104 color: white;105 transform: translateY(-2px);106 box-shadow: 0 4px 8px rgba(0,0,0,0.1);107 }108 .batch-number {109 display: block;110 font-weight: bold;111 color: #007bff;112 }113 .batch-link:hover .batch-number {114 color: white;115 }116 .batch-title {117 display: block;118 font-size: 14pt;119 margin: 0.5rem 0;120 }121 .batch-count {122 display: block;123 font-size: 10pt;124 color: #666;125 }126 .batch-link:hover .batch-count {127 color: #ccc;128 }129 .navigation {130 margin: 3rem 0;131 padding: 1rem;132 background: #f8f9fa;133 border-radius: 8px;134 }135 .nav-links {136 display: flex;137 flex-wrap: wrap;138 gap: 1rem;139 justify-content: center;140 }141 .nav-link {142 color: #007bff;143 text-decoration: none;144 padding: 0.5rem 1rem;145 border: 1px solid #007bff;146 border-radius: 4px;147 transition: all 0.3s ease;148 }149 .nav-link:hover {150 background: #007bff;151 color: white;152 }153 .footer {154 margin-top: 3rem;155 padding: 1rem;156 background: #f8f9fa;157 border-radius: 8px;158 text-align: center;159 }160 .contact-info {161 margin-top: 1rem;162 }163 .contact-info p {164 margin: 0.25rem 0;165 text-align: center;166 }167 </style>168 <script src="https://cdn.jsdelivr.net/npm/mermaid@10.6.1/dist/mermaid.min.js"></script>169 <script>170 mermaid.initialize({ 171 startOnLoad: true, 172 theme: 'default', 173 flowchart: { 174 useMaxWidth: false, 175 htmlLabels: true,176 curve: 'linear',177 nodeSpacing: 30,178 rankSpacing: 30,179 padding: 10180 },181 themeVariables: {182 fontFamily: 'Arial Unicode MS, Arial, sans-serif'183 }184 });185 </script>186</head>187<body>188 <div class="container">189 <h1>Mathematics - Programming Framework Analysis</h1>190 <p class="subtitle">Systematic visualization of mathematical processes and computational logic</p>191 192 <section class="overview" style="border-left: 4px solid #0d6efd; background: #f0f7ff;">193 <h2>Live index & foundational typology</h2>194 <p>The authoritative, sortable collection is the public <strong>Algorithms and Axiomatic Theories</strong> database (algorithms as flowcharts, axiomatic theories as dependency graphs):</p>195 <p style="text-align: center; margin: 1rem 0;">196 <a href="https://storage.googleapis.com/regal-scholar-453620-r7-podcast-storage/mathematics-processes-database/mathematics-database-table.html?v=2" style="display: inline-block; padding: 0.6rem 1.2rem; background: #0d6efd; color: #fff; text-decoration: none; border-radius: 6px; font-weight: bold;" target="_blank" rel="noopener noreferrer">Mathematics database table (GCS)</a>197 </p>198 <p>Conceptual bridge to regulatory flowcharts in GLMP is developed in the 2026 working paper199 <a href="https://storage.googleapis.com/regal-scholar-453620-r7-podcast-storage/mathematics-processes-database/GLMP_Foundational_Typology.html" target="_blank" rel="noopener noreferrer"><em>GLMP Foundational Typology</em> / <em>Primitive Relations and Computational Complexity</em></a>.200 Companion index for biology:201 <a href="https://storage.googleapis.com/regal-scholar-453620-r7-podcast-storage/glmp-database-table.html" target="_blank" rel="noopener noreferrer">GLMP database table</a>.202 </p>203 </section>204 205 <section class="overview">206 <h2>Mathematics Overview</h2>207 <p>This Space page lists local batch previews. Each batch contains flowcharts representing computational logic and reasoning patterns. For the full corpus and axiomatic DAGs, use the mathematics database table linked above.</p>208 209 <div class="color-legend">210 <h3>Universal Color Coding System</h3>211 <div class="color-grid">212 <div class="color-item">213 <span class="color-box" style="background: #ff6b6b;"></span>214 <span class="color-label">Red - Triggers & Inputs</span>215 </div>216 <div class="color-item">217 <span class="color-box" style="background: #ffd43b;"></span>218 <span class="color-label">Yellow - Structures & Objects</span>219 </div>220 <div class="color-item">221 <span class="color-box" style="background: #51cf66;"></span>222 <span class="color-label">Green - Processing & Operations</span>223 </div>224 <div class="color-item">225 <span class="color-box" style="background: #74c0fc;"></span>226 <span class="color-label">Blue - Intermediates & States</span>227 </div>228 <div class="color-item">229 <span class="color-box" style="background: #b197fc;"></span>230 <span class="color-label">Violet - Products & Outputs</span>231 </div>232 </div>233 </div>234 </section>235 236 <section class="batch-navigation">237 <h2>Mathematics Process Batches</h2>238 239 <div class="batch-category">240 <h3>🔢 Number Theory</h3>241 <div class="batch-links">242 <a href="mathematics_batch_01.html" class="batch-link">243 <span class="batch-number">Batch 01</span>244 <span class="batch-title">Prime Factorization & Modular Arithmetic</span>245 <span class="batch-count">3 processes</span>246 </a>247 </div>248 </div>249 250 <div class="batch-category">251 <h3>📊 Analysis & Calculus</h3>252 <div class="batch-links">253 <a href="mathematics_batch_02.html" class="batch-link">254 <span class="batch-number">Batch 02</span>255 <span class="batch-title">Series Expansion & Differential Equations</span>256 <span class="batch-count">3 processes</span>257 </a>258 </div>259 </div>260 261 <div class="batch-category">262 <h3>🔗 Abstract Algebra</h3>263 <div class="batch-links">264 <a href="mathematics_batch_03.html" class="batch-link">265 <span class="batch-number">Batch 03</span>266 <span class="batch-title">Group Theory & Ring Theory</span>267 <span class="batch-count">3 processes</span>268 </a>269 </div>270 </div>271 272 <div class="batch-category">273 <h3>📐 Geometry & Topology</h3>274 <div class="batch-links">275 <a href="mathematics_batch_04.html" class="batch-link">276 <span class="batch-number">Batch 04</span>277 <span class="batch-title">Geometric Constructions & Topological Transformations</span>278 <span class="batch-count">3 processes</span>279 </a>280 </div>281 </div>282 283 <div class="batch-category">284 <h3>⚙️ Applied Mathematics</h3>285 <div class="batch-links">286 <a href="mathematics_batch_05.html" class="batch-link">287 <span class="batch-number">Batch 05</span>288 <span class="batch-title">Numerical Methods & Statistical Analysis</span>289 <span class="batch-count">3 processes</span>290 </a>291 </div>292 </div>293 294 <div class="batch-category">295 <h3>🕸️ Discrete Mathematics</h3>296 <div class="batch-links">297 <a href="mathematics_batch_06.html" class="batch-link">298 <span class="batch-number">Batch 06</span>299 <span class="batch-title">Graph Theory & Combinatorics</span>300 <span class="batch-count">3 processes</span>301 </a>302 </div>303 </div>304 305 <div class="batch-category">306 <h3>🏛️ Historical & Educational</h3>307 <div class="batch-links">308 <a href="mathematics_batch_07.html" class="batch-link">309 <span class="batch-number">Batch 07</span>310 <span class="batch-title">Euclid's Geometry & Aristotle's Syllogism</span>311 <span class="batch-count">2 processes</span>312 </a>313 </div>314 </div>315 </section>316 317 <div class="navigation">318 <h3>Navigation</h3>319 <div class="nav-links">320 <a href="index.html" class="nav-link">← Back to Programming Framework</a>321 <a href="chemistry_index.html" class="nav-link">Chemistry (under construction)</a>322 <a href="physics_index.html" class="nav-link">Physics (under construction)</a>323 <a href="computer_science_index.html" class="nav-link">Computer Science (under construction)</a>324 <a href="https://huggingface.co/spaces/garywelz/glmp" class="nav-link" target="_blank" rel="noopener noreferrer">GLMP Space (biology)</a>325 </div>326 </section>327 328 <div class="footer">329 <p><strong>Generated using the Programming Framework methodology</strong></p>330 <p>Each flowchart preserves maximum detail through optimized Mermaid configuration</p>331 <div class="contact-info">332 <p><strong>Gary Welz</strong></p>333 <p>Retired Faculty Member</p>334 <p>John Jay College, CUNY (Department of Mathematics and Computer Science)</p>335 <p>Borough of Manhattan Community College, CUNY</p>336 <p>CUNY Graduate Center (New Media Lab)</p>337 <p>Email: garywelz@gmail.com • gwelz@gc.cuny.edu</p>338 </div>339 </div>340 </div>341</body>342</html>343