Spaces:
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Add 2 files
Browse files- README.md +7 -5
- index.html +1357 -19
README.md
CHANGED
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---
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title:
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emoji:
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colorFrom:
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colorTo:
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sdk: static
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pinned: false
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---
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Check out the configuration reference at https://huggingface.co/docs/hub/spaces-config-reference
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title: study-buddy-site
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emoji: 🐳
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colorFrom: purple
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colorTo: red
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sdk: static
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pinned: false
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tags:
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- deepsite
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---
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Check out the configuration reference at https://huggingface.co/docs/hub/spaces-config-reference
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index.html
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<!DOCTYPE html>
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<html lang="en">
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<head>
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<meta charset="UTF-8">
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<meta name="viewport" content="width=device-width, initial-scale=1.0">
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<title>ADHD Linear Programming Study Buddy</title>
|
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<script src="https://cdn.tailwindcss.com"></script>
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<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.4.0/css/all.min.css">
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<style>
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@keyframes float {
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0%, 100% { transform: translateY(0); }
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50% { transform: translateY(-10px); }
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}
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@keyframes shake {
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0%, 100% { transform: rotate(0deg); }
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25% { transform: rotate(5deg); }
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75% { transform: rotate(-5deg); }
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}
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@keyframes pulse {
|
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0%, 100% { opacity: 1; }
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50% { opacity: 0.5; }
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}
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.floating {
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animation: float 3s ease-in-out infinite;
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}
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.shaking {
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animation: shake 0.5s ease-in-out infinite;
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}
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.pulsing {
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animation: pulse 1.5s ease-in-out infinite;
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transition: width 0.5s ease-in-out;
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animation: dash 30s linear infinite;
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to {
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animation: colorChange 10s infinite alternate;
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0% { fill: #3B82F6; }
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25% { fill: #10B981; }
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50% { fill: #F59E0B; }
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100% { fill: #8B5CF6; }
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animation: fadeIn 0.5s ease-in;
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|
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from { opacity: 0; }
|
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.confetti {
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|
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opacity: 0;
|
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|
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</style>
|
81 |
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</head>
|
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<body class="bg-gray-50 min-h-screen font-sans">
|
83 |
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<div class="container mx-auto px-4 py-8">
|
84 |
+
<!-- Header with progress tracker -->
|
85 |
+
<header class="mb-8">
|
86 |
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<div class="flex justify-between items-center mb-6">
|
87 |
+
<h1 class="text-4xl font-bold text-indigo-800 flex items-center">
|
88 |
+
<i class="fas fa-brain mr-3 text-pink-500 floating"></i>
|
89 |
+
LP Study Buddy
|
90 |
+
</h1>
|
91 |
+
<div class="flex items-center space-x-4">
|
92 |
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<div class="relative">
|
93 |
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<div class="h-4 w-32 bg-gray-200 rounded-full overflow-hidden">
|
94 |
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<div id="progress-bar" class="progress-bar h-full bg-green-500" style="width: 0%"></div>
|
95 |
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</div>
|
96 |
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<span id="progress-text" class="text-xs font-semibold text-gray-600 absolute -bottom-5 right-0">0% Complete</span>
|
97 |
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</div>
|
98 |
+
<button id="focus-mode" class="px-3 py-1 bg-blue-100 text-blue-700 rounded-full text-sm flex items-center">
|
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<i class="fas fa-crosshairs mr-1"></i> Focus Mode
|
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</button>
|
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</div>
|
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</div>
|
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|
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<div class="bg-white p-4 rounded-xl shadow-md mb-6">
|
105 |
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<div class="flex items-center">
|
106 |
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<div class="mr-4">
|
107 |
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<div class="w-16 h-16 bg-yellow-100 rounded-full flex items-center justify-center">
|
108 |
+
<i class="fas fa-lightbulb text-yellow-500 text-2xl shaking"></i>
|
109 |
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</div>
|
110 |
+
</div>
|
111 |
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<div>
|
112 |
+
<h2 class="text-xl font-bold text-gray-800">ADHD Study Tips</h2>
|
113 |
+
<p class="text-gray-600" id="study-tip">Work in short bursts (10-15 min) with breaks in between!</p>
|
114 |
+
<div class="flex space-x-2 mt-2">
|
115 |
+
<button id="prev-tip" class="px-2 py-1 bg-gray-100 rounded text-sm">
|
116 |
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<i class="fas fa-arrow-left"></i>
|
117 |
+
</button>
|
118 |
+
<button id="next-tip" class="px-2 py-1 bg-gray-100 rounded text-sm">
|
119 |
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<i class="fas fa-arrow-right"></i>
|
120 |
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</button>
|
121 |
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</div>
|
122 |
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</div>
|
123 |
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</div>
|
124 |
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</div>
|
125 |
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</header>
|
126 |
+
|
127 |
+
<!-- Main content area with tabs -->
|
128 |
+
<div class="grid grid-cols-1 lg:grid-cols-4 gap-6">
|
129 |
+
<!-- Sidebar with navigation -->
|
130 |
+
<div class="lg:col-span-1">
|
131 |
+
<div class="bg-white p-4 rounded-xl shadow-md sticky top-4">
|
132 |
+
<h3 class="font-bold text-lg mb-4 text-indigo-700 flex items-center">
|
133 |
+
<i class="fas fa-list-ul mr-2"></i> Topics
|
134 |
+
</h3>
|
135 |
+
<ul class="space-y-2">
|
136 |
+
<li>
|
137 |
+
<button data-tab="formulating" class="tab-btn w-full text-left px-3 py-2 rounded-lg bg-indigo-50 text-indigo-700 font-medium flex items-center justify-between">
|
138 |
+
<span>1. Formulating Problems</span>
|
139 |
+
<i class="fas fa-check-circle text-green-500 opacity-0"></i>
|
140 |
+
</button>
|
141 |
+
</li>
|
142 |
+
<li>
|
143 |
+
<button data-tab="graphical" class="tab-btn w-full text-left px-3 py-2 rounded-lg hover:bg-indigo-50 text-gray-700 flex items-center justify-between">
|
144 |
+
<span>2. Graphical Solutions</span>
|
145 |
+
<i class="fas fa-check-circle text-green-500 opacity-0"></i>
|
146 |
+
</button>
|
147 |
+
</li>
|
148 |
+
<li>
|
149 |
+
<button data-tab="standard-form" class="tab-btn w-full text-left px-3 py-2 rounded-lg hover:bg-indigo-50 text-gray-700 flex items-center justify-between">
|
150 |
+
<span>3. Standard Form</span>
|
151 |
+
<i class="fas fa-check-circle text-green-500 opacity-0"></i>
|
152 |
+
</button>
|
153 |
+
</li>
|
154 |
+
<li>
|
155 |
+
<button data-tab="simplex" class="tab-btn w-full text-left px-3 py-2 rounded-lg hover:bg-indigo-50 text-gray-700 flex items-center justify-between">
|
156 |
+
<span>4. Simplex Method</span>
|
157 |
+
<i class="fas fa-check-circle text-green-500 opacity-0"></i>
|
158 |
+
</button>
|
159 |
+
</li>
|
160 |
+
<li>
|
161 |
+
<button data-tab="duality" class="tab-btn w-full text-left px-3 py-2 rounded-lg hover:bg-indigo-50 text-gray-700 flex items-center justify-between">
|
162 |
+
<span>5. Duality</span>
|
163 |
+
<i class="fas fa-check-circle text-green-500 opacity-0"></i>
|
164 |
+
</button>
|
165 |
+
</li>
|
166 |
+
</ul>
|
167 |
+
|
168 |
+
<div class="mt-6 pt-4 border-t border-gray-200">
|
169 |
+
<h3 class="font-bold text-lg mb-3 text-indigo-700 flex items-center">
|
170 |
+
<i class="fas fa-gamepad mr-2"></i> Quick Games
|
171 |
+
</h3>
|
172 |
+
<button id="flashcards-btn" class="w-full mb-2 px-3 py-2 bg-purple-100 text-purple-700 rounded-lg flex items-center">
|
173 |
+
<i class="fas fa-layer-group mr-2"></i> Flashcards
|
174 |
+
</button>
|
175 |
+
<button id="quiz-btn" class="w-full px-3 py-2 bg-green-100 text-green-700 rounded-lg flex items-center">
|
176 |
+
<i class="fas fa-question-circle mr-2"></i> Pop Quiz
|
177 |
+
</button>
|
178 |
+
</div>
|
179 |
+
|
180 |
+
<div class="mt-6 pt-4 border-t border-gray-200">
|
181 |
+
<h3 class="font-bold text-lg mb-3 text-indigo-700 flex items-center">
|
182 |
+
<i class="fas fa-tools mr-2"></i> Tools
|
183 |
+
</h3>
|
184 |
+
<div class="flex space-x-2">
|
185 |
+
<button id="timer-btn" class="flex-1 px-3 py-2 bg-blue-100 text-blue-700 rounded-lg flex items-center justify-center">
|
186 |
+
<i class="fas fa-stopwatch mr-2"></i> Timer
|
187 |
+
</button>
|
188 |
+
<button id="distraction-btn" class="flex-1 px-3 py-2 bg-pink-100 text-pink-700 rounded-lg flex items-center justify-center">
|
189 |
+
<i class="fas fa-headphones mr-2"></i> Sounds
|
190 |
+
</button>
|
191 |
+
</div>
|
192 |
+
</div>
|
193 |
+
</div>
|
194 |
+
</div>
|
195 |
+
|
196 |
+
<!-- Main content -->
|
197 |
+
<div class="lg:col-span-3">
|
198 |
+
<!-- Formulating Problems Tab -->
|
199 |
+
<div id="formulating" class="tab-content active">
|
200 |
+
<div class="bg-white rounded-xl shadow-md overflow-hidden highlight-box">
|
201 |
+
<div class="p-5">
|
202 |
+
<div class="flex justify-between items-start">
|
203 |
+
<div>
|
204 |
+
<h2 class="text-2xl font-bold text-gray-800 mb-2">1. Formulating Linear Programming Problems</h2>
|
205 |
+
<p class="text-gray-600 mb-4">Turning real-world problems into mathematical equations</p>
|
206 |
+
</div>
|
207 |
+
<button class="complete-topic px-4 py-2 bg-green-500 text-white rounded-lg flex items-center">
|
208 |
+
<i class="fas fa-check mr-2"></i> Mark Complete
|
209 |
+
</button>
|
210 |
+
</div>
|
211 |
+
|
212 |
+
<div class="grid grid-cols-1 md:grid-cols-2 gap-6 mb-6">
|
213 |
+
<div>
|
214 |
+
<h3 class="font-bold text-lg mb-3 text-indigo-700 flex items-center">
|
215 |
+
<i class="fas fa-lightbulb mr-2 text-yellow-500"></i> Key Concepts
|
216 |
+
</h3>
|
217 |
+
<ul class="space-y-2">
|
218 |
+
<li class="flex items-start">
|
219 |
+
<i class="fas fa-arrow-right text-indigo-500 mt-1 mr-2"></i>
|
220 |
+
<span><strong>Objective Function:</strong> What you want to maximize or minimize</span>
|
221 |
+
</li>
|
222 |
+
<li class="flex items-start">
|
223 |
+
<i class="fas fa-arrow-right text-indigo-500 mt-1 mr-2"></i>
|
224 |
+
<span><strong>Constraints:</strong> Limitations or requirements</span>
|
225 |
+
</li>
|
226 |
+
<li class="flex items-start">
|
227 |
+
<i class="fas fa-arrow-right text-indigo-500 mt-1 mr-2"></i>
|
228 |
+
<span><strong>Decision Variables:</strong> What you can control</span>
|
229 |
+
</li>
|
230 |
+
</ul>
|
231 |
+
|
232 |
+
<h3 class="font-bold text-lg mt-6 mb-3 text-indigo-700 flex items-center">
|
233 |
+
<i class="fas fa-bolt mr-2 text-purple-500"></i> ADHD Tips
|
234 |
+
</h3>
|
235 |
+
<div class="bg-blue-50 p-3 rounded-lg">
|
236 |
+
<p class="text-blue-800"><i class="fas fa-star mr-2 text-yellow-500"></i> <strong>Make it fun:</strong> Use examples from your life (tacos, video games, etc.)</p>
|
237 |
+
<p class="text-blue-800 mt-2"><i class="fas fa-star mr-2 text-yellow-500"></i> <strong>Quick sketch:</strong> Jot down variables and constraints without perfection</p>
|
238 |
+
</div>
|
239 |
+
</div>
|
240 |
+
|
241 |
+
<div>
|
242 |
+
<h3 class="font-bold text-lg mb-3 text-indigo-700 flex items-center">
|
243 |
+
<i class="fas fa-pencil-alt mr-2 text-green-500"></i> Example
|
244 |
+
</h3>
|
245 |
+
<div class="bg-gray-50 p-4 rounded-lg">
|
246 |
+
<p class="font-semibold">Taco & Burger Stand:</p>
|
247 |
+
<p class="text-sm text-gray-600 mb-2">You have 10 buns and 5 patties. Tacos need 1 bun, burgers need 1 bun + 1 patty. Profit: $2/taco, $3/burger.</p>
|
248 |
+
|
249 |
+
<div class="space-y-2">
|
250 |
+
<div class="flex items-center">
|
251 |
+
<span class="bg-indigo-100 text-indigo-800 px-2 py-1 rounded mr-2 text-sm">Goal</span>
|
252 |
+
<span>Maximize Profit: <span class="font-mono">P = 2x + 3y</span></span>
|
253 |
+
</div>
|
254 |
+
<div class="flex items-center">
|
255 |
+
<span class="bg-pink-100 text-pink-800 px-2 py-1 rounded mr-2 text-sm">Constraints</span>
|
256 |
+
<span>Buns: <span class="font-mono">x + y ≤ 10</span></span>
|
257 |
+
</div>
|
258 |
+
<div class="flex items-center">
|
259 |
+
<span class="bg-pink-100 text-pink-800 px-2 py-1 rounded mr-2 text-sm">Constraints</span>
|
260 |
+
<span>Patties: <span class="font-mono">y ≤ 5</span></span>
|
261 |
+
</div>
|
262 |
+
<div class="flex items-center">
|
263 |
+
<span class="bg-green-100 text-green-800 px-2 py-1 rounded mr-2 text-sm">Variables</span>
|
264 |
+
<span><span class="font-mono">x ≥ 0, y ≥ 0</span></span>
|
265 |
+
</div>
|
266 |
+
</div>
|
267 |
+
</div>
|
268 |
+
|
269 |
+
<button id="example-animation-btn" class="mt-4 px-4 py-2 bg-indigo-600 text-white rounded-lg flex items-center">
|
270 |
+
<i class="fas fa-play mr-2"></i> Show Animation
|
271 |
+
</button>
|
272 |
+
</div>
|
273 |
+
</div>
|
274 |
+
|
275 |
+
<div class="border-t border-gray-200 pt-4">
|
276 |
+
<h3 class="font-bold text-lg mb-3 text-indigo-700 flex items-center">
|
277 |
+
<i class="fas fa-dumbbell mr-2 text-red-500"></i> Practice
|
278 |
+
</h3>
|
279 |
+
<div class="bg-orange-50 p-4 rounded-lg">
|
280 |
+
<p class="font-medium mb-2">Pizza & Wings:</p>
|
281 |
+
<p class="text-sm text-gray-600 mb-3">You have 20 slices of pizza and 30 wings. A pizza party needs 4 slices, a wing party needs 10 wings. Profit: $15/pizza party, $20/wing party.</p>
|
282 |
+
|
283 |
+
<div class="grid grid-cols-1 md:grid-cols-2 gap-4 mb-4">
|
284 |
+
<div>
|
285 |
+
<label class="block text-sm font-medium text-gray-700 mb-1">Objective Function:</label>
|
286 |
+
<input type="text" class="practice-input w-full px-3 py-2 border border-gray-300 rounded-md" placeholder="P = ...">
|
287 |
+
</div>
|
288 |
+
<div>
|
289 |
+
<label class="block text-sm font-medium text-gray-700 mb-1">Constraints:</label>
|
290 |
+
<input type="text" class="practice-input w-full px-3 py-2 border border-gray-300 rounded-md" placeholder="Pizza slices...">
|
291 |
+
<input type="text" class="practice-input w-full mt-2 px-3 py-2 border border-gray-300 rounded-md" placeholder="Wings...">
|
292 |
+
</div>
|
293 |
+
</div>
|
294 |
+
|
295 |
+
<button id="check-practice" class="px-4 py-2 bg-orange-500 text-white rounded-lg flex items-center">
|
296 |
+
<i class="fas fa-check-circle mr-2"></i> Check Answer
|
297 |
+
</button>
|
298 |
+
<div id="practice-feedback" class="mt-3 hidden"></div>
|
299 |
+
</div>
|
300 |
+
</div>
|
301 |
+
</div>
|
302 |
+
</div>
|
303 |
+
</div>
|
304 |
+
|
305 |
+
<!-- Graphical Solutions Tab -->
|
306 |
+
<div id="graphical" class="tab-content">
|
307 |
+
<div class="bg-white rounded-xl shadow-md overflow-hidden highlight-box">
|
308 |
+
<div class="p-5">
|
309 |
+
<div class="flex justify-between items-start">
|
310 |
+
<div>
|
311 |
+
<h2 class="text-2xl font-bold text-gray-800 mb-2">2. Graphical Solutions (2D Problems)</h2>
|
312 |
+
<p class="text-gray-600 mb-4">Visualizing and solving LP problems with two variables</p>
|
313 |
+
</div>
|
314 |
+
<button class="complete-topic px-4 py-2 bg-green-500 text-white rounded-lg flex items-center">
|
315 |
+
<i class="fas fa-check mr-2"></i> Mark Complete
|
316 |
+
</button>
|
317 |
+
</div>
|
318 |
+
|
319 |
+
<div class="grid grid-cols-1 md:grid-cols-2 gap-6 mb-6">
|
320 |
+
<div>
|
321 |
+
<h3 class="font-bold text-lg mb-3 text-indigo-700 flex items-center">
|
322 |
+
<i class="fas fa-lightbulb mr-2 text-yellow-500"></i> Key Concepts
|
323 |
+
</h3>
|
324 |
+
<ul class="space-y-2">
|
325 |
+
<li class="flex items-start">
|
326 |
+
<i class="fas fa-arrow-right text-indigo-500 mt-1 mr-2"></i>
|
327 |
+
<span><strong>Plot constraints:</strong> Draw each inequality as a line</span>
|
328 |
+
</li>
|
329 |
+
<li class="flex items-start">
|
330 |
+
<i class="fas fa-arrow-right text-indigo-500 mt-1 mr-2"></i>
|
331 |
+
<span><strong>Feasible region:</strong> Where all constraints overlap</span>
|
332 |
+
</li>
|
333 |
+
<li class="flex items-start">
|
334 |
+
<i class="fas fa-arrow-right text-indigo-500 mt-1 mr-2"></i>
|
335 |
+
<span><strong>Optimal solution:</strong> At a corner point of the feasible region</span>
|
336 |
+
</li>
|
337 |
+
</ul>
|
338 |
+
|
339 |
+
<h3 class="font-bold text-lg mt-6 mb-3 text-indigo-700 flex items-center">
|
340 |
+
<i class="fas fa-bolt mr-2 text-purple-500"></i> ADHD Tips
|
341 |
+
</h3>
|
342 |
+
<div class="bg-blue-50 p-3 rounded-lg">
|
343 |
+
<p class="text-blue-800"><i class="fas fa-star mr-2 text-yellow-500"></i> <strong>Use colors:</strong> Different colors for each constraint</p>
|
344 |
+
<p class="text-blue-800 mt-2"><i class="fas fa-star mr-2 text-yellow-500"></i> <strong>Interactive tools:</strong> Try online graphing calculators</p>
|
345 |
+
</div>
|
346 |
+
</div>
|
347 |
+
|
348 |
+
<div>
|
349 |
+
<h3 class="font-bold text-lg mb-3 text-indigo-700 flex items-center">
|
350 |
+
<i class="fas fa-chart-line mr-2 text-green-500"></i> Interactive Graph
|
351 |
+
</h3>
|
352 |
+
<div class="bg-gray-100 p-4 rounded-lg">
|
353 |
+
<div id="graph-container" class="w-full h-64 relative">
|
354 |
+
<svg id="graph-svg" width="100%" height="100%" viewBox="0 0 400 300" class="bg-white rounded">
|
355 |
+
<!-- Axes -->
|
356 |
+
<line x1="50" y1="250" x2="350" y2="250" stroke="black" stroke-width="2" />
|
357 |
+
<line x1="50" y1="250" x2="50" y2="50" stroke="black" stroke-width="2" />
|
358 |
+
|
359 |
+
<!-- X axis labels -->
|
360 |
+
<text x="350" y="265" text-anchor="middle">x</text>
|
361 |
+
<text x="60" y="265" text-anchor="middle">0</text>
|
362 |
+
<text x="110" y="265" text-anchor="middle">2</text>
|
363 |
+
<text x="160" y="265" text-anchor="middle">4</text>
|
364 |
+
<text x="210" y="265" text-anchor="middle">6</text>
|
365 |
+
<text x="260" y="265" text-anchor="middle">8</text>
|
366 |
+
<text x="310" y="265" text-anchor="middle">10</text>
|
367 |
+
|
368 |
+
<!-- Y axis labels -->
|
369 |
+
<text x="35" y="60" text-anchor="middle">10</text>
|
370 |
+
<text x="35" y="110" text-anchor="middle">8</text>
|
371 |
+
<text x="35" y="160" text-anchor="middle">6</text>
|
372 |
+
<text x="35" y="210" text-anchor="middle">4</text>
|
373 |
+
<text x="35" y="260" text-anchor="middle">0</text>
|
374 |
+
<text x="30" y="40" text-anchor="middle">y</text>
|
375 |
+
|
376 |
+
<!-- Constraints will be added here by JavaScript -->
|
377 |
+
</svg>
|
378 |
+
</div>
|
379 |
+
|
380 |
+
<div class="mt-4 grid grid-cols-1 md:grid-cols-2 gap-2">
|
381 |
+
<button id="add-constraint-btn" class="px-3 py-2 bg-blue-100 text-blue-700 rounded flex items-center justify-center">
|
382 |
+
<i class="fas fa-plus mr-2"></i> Add Constraint
|
383 |
+
</button>
|
384 |
+
<button id="find-optimal-btn" class="px-3 py-2 bg-green-100 text-green-700 rounded flex items-center justify-center">
|
385 |
+
<i class="fas fa-bullseye mr-2"></i> Find Optimal
|
386 |
+
</button>
|
387 |
+
</div>
|
388 |
+
</div>
|
389 |
+
</div>
|
390 |
+
</div>
|
391 |
+
</div>
|
392 |
+
</div>
|
393 |
+
</div>
|
394 |
+
|
395 |
+
<!-- Standard Form Tab -->
|
396 |
+
<div id="standard-form" class="tab-content">
|
397 |
+
<div class="bg-white rounded-xl shadow-md overflow-hidden highlight-box">
|
398 |
+
<div class="p-5">
|
399 |
+
<div class="flex justify-between items-start">
|
400 |
+
<div>
|
401 |
+
<h2 class="text-2xl font-bold text-gray-800 mb-2">3. Conversion to Standard Form</h2>
|
402 |
+
<p class="text-gray-600 mb-4">Rewriting LP problems for the simplex method</p>
|
403 |
+
</div>
|
404 |
+
<button class="complete-topic px-4 py-2 bg-green-500 text-white rounded-lg flex items-center">
|
405 |
+
<i class="fas fa-check mr-2"></i> Mark Complete
|
406 |
+
</button>
|
407 |
+
</div>
|
408 |
+
|
409 |
+
<div class="mb-6">
|
410 |
+
<h3 class="font-bold text-lg mb-3 text-indigo-700 flex items-center">
|
411 |
+
<i class="fas fa-exchange-alt mr-2 text-purple-500"></i> Conversion Rules
|
412 |
+
</h3>
|
413 |
+
|
414 |
+
<div class="grid grid-cols-1 md:grid-cols-3 gap-4">
|
415 |
+
<div class="bg-gray-50 p-4 rounded-lg">
|
416 |
+
<h4 class="font-bold text-blue-700 mb-2 flex items-center">
|
417 |
+
<i class="fas fa-less-than-equal mr-2"></i> ≤ Constraints
|
418 |
+
</h4>
|
419 |
+
<p class="text-sm">Add a <span class="font-mono bg-blue-100 px-1">slack variable</span>:</p>
|
420 |
+
<p class="font-mono mt-1">x + y ≤ 10 → x + y + s = 10</p>
|
421 |
+
<p class="text-xs text-gray-500 mt-2">s ≥ 0</p>
|
422 |
+
</div>
|
423 |
+
|
424 |
+
<div class="bg-gray-50 p-4 rounded-lg">
|
425 |
+
<h4 class="font-bold text-green-700 mb-2 flex items-center">
|
426 |
+
<i class="fas fa-greater-than-equal mr-2"></i> ≥ Constraints
|
427 |
+
</h4>
|
428 |
+
<p class="text-sm">Add a <span class="font-mono bg-green-100 px-1">surplus variable</span>:</p>
|
429 |
+
<p class="font-mono mt-1">x + y ≥ 10 → x + y - s = 10</p>
|
430 |
+
<p class="text-xs text-gray-500 mt-2">s ≥ 0</p>
|
431 |
+
</div>
|
432 |
+
|
433 |
+
<div class="bg-gray-50 p-4 rounded-lg">
|
434 |
+
<h4 class="font-bold text-red-700 mb-2 flex items-center">
|
435 |
+
<i class="fas fa-random mr-2"></i> Free Variables
|
436 |
+
</h4>
|
437 |
+
<p class="text-sm">Replace with difference:</p>
|
438 |
+
<p class="font-mono mt-1">x unrestricted → x = x⁺ - x⁻</p>
|
439 |
+
<p class="text-xs text-gray-500 mt-2">x⁺ ≥ 0, x⁻ ≥ 0</p>
|
440 |
+
</div>
|
441 |
+
</div>
|
442 |
+
</div>
|
443 |
+
|
444 |
+
<div class="border-t border-gray-200 pt-4">
|
445 |
+
<h3 class="font-bold text-lg mb-3 text-indigo-700 flex items-center">
|
446 |
+
<i class="fas fa-dumbbell mr-2 text-red-500"></i> Practice
|
447 |
+
</h3>
|
448 |
+
|
449 |
+
<div class="bg-orange-50 p-4 rounded-lg">
|
450 |
+
<div class="mb-4">
|
451 |
+
<p class="font-medium">Convert to standard form:</p>
|
452 |
+
<p class="text-sm font-mono bg-white p-2 rounded mt-1">Maximize z = 3x₁ + 2x₂</p>
|
453 |
+
<p class="text-sm font-mono bg-white p-2 rounded">Subject to: x₁ + x₂ ≤ 4</p>
|
454 |
+
<p class="text-sm font-mono bg-white p-2 rounded">x₁ - x₂ ≥ 1</p>
|
455 |
+
<p class="text-sm font-mono bg-white p-2 rounded">x₁ ≥ 0, x₂ unrestricted</p>
|
456 |
+
</div>
|
457 |
+
|
458 |
+
<div class="grid grid-cols-1 md:grid-cols-2 gap-4 mb-4">
|
459 |
+
<div>
|
460 |
+
<label class="block text-sm font-medium text-gray-700 mb-1">Objective:</label>
|
461 |
+
<input type="text" class="std-form-input w-full px-3 py-2 border border-gray-300 rounded-md" placeholder="Maximize...">
|
462 |
+
</div>
|
463 |
+
<div>
|
464 |
+
<label class="block text-sm font-medium text-gray-700 mb-1">Constraints:</label>
|
465 |
+
<input type="text" class="std-form-input w-full px-3 py-2 border border-gray-300 rounded-md" placeholder="First constraint...">
|
466 |
+
<input type="text" class="std-form-input w-full mt-2 px-3 py-2 border border-gray-300 rounded-md" placeholder="Second constraint...">
|
467 |
+
</div>
|
468 |
+
</div>
|
469 |
+
|
470 |
+
<button id="check-std-form" class="px-4 py-2 bg-orange-500 text-white rounded-lg flex items-center">
|
471 |
+
<i class="fas fa-check-circle mr-2"></i> Check Answer
|
472 |
+
</button>
|
473 |
+
<div id="std-form-feedback" class="mt-3 hidden"></div>
|
474 |
+
</div>
|
475 |
+
</div>
|
476 |
+
</div>
|
477 |
+
</div>
|
478 |
+
</div>
|
479 |
+
|
480 |
+
<!-- Simplex Method Tab -->
|
481 |
+
<div id="simplex" class="tab-content">
|
482 |
+
<div class="bg-white rounded-xl shadow-md overflow-hidden highlight-box">
|
483 |
+
<div class="p-5">
|
484 |
+
<div class="flex justify-between items-start">
|
485 |
+
<div>
|
486 |
+
<h2 class="text-2xl font-bold text-gray-800 mb-2">4. Simplex Method</h2>
|
487 |
+
<p class="text-gray-600 mb-4">Step-by-step algorithm for solving LP problems</p>
|
488 |
+
</div>
|
489 |
+
<button class="complete-topic px-4 py-2 bg-green-500 text-white rounded-lg flex items-center">
|
490 |
+
<i class="fas fa-check mr-2"></i> Mark Complete
|
491 |
+
</button>
|
492 |
+
</div>
|
493 |
+
|
494 |
+
<div class="mb-6">
|
495 |
+
<h3 class="font-bold text-lg mb-3 text-indigo-700 flex items-center">
|
496 |
+
<i class="fas fa-list-ol mr-2 text-purple-500"></i> Steps
|
497 |
+
</h3>
|
498 |
+
|
499 |
+
<div class="space-y-4">
|
500 |
+
<div class="flex items-start">
|
501 |
+
<div class="bg-indigo-100 text-indigo-800 rounded-full w-8 h-8 flex items-center justify-center flex-shrink-0 mr-3">1</div>
|
502 |
+
<div>
|
503 |
+
<p class="font-medium">Set up initial tableau</p>
|
504 |
+
<p class="text-sm text-gray-600">Include slack/surplus variables and objective function</p>
|
505 |
+
</div>
|
506 |
+
</div>
|
507 |
+
|
508 |
+
<div class="flex items-start">
|
509 |
+
<div class="bg-indigo-100 text-indigo-800 rounded-full w-8 h-8 flex items-center justify-center flex-shrink-0 mr-3">2</div>
|
510 |
+
<div>
|
511 |
+
<p class="font-medium">Choose pivot column</p>
|
512 |
+
<p class="text-sm text-gray-600">Most negative entry in bottom row (for minimization)</p>
|
513 |
+
</div>
|
514 |
+
</div>
|
515 |
+
|
516 |
+
<div class="flex items-start">
|
517 |
+
<div class="bg-indigo-100 text-indigo-800 rounded-full w-8 h-8 flex items-center justify-center flex-shrink-0 mr-3">3</div>
|
518 |
+
<div>
|
519 |
+
<p class="font-medium">Choose pivot row</p>
|
520 |
+
<p class="text-sm text-gray-600">Smallest non-negative ratio (RHS ÷ pivot column)</p>
|
521 |
+
</div>
|
522 |
+
</div>
|
523 |
+
|
524 |
+
<div class="flex items-start">
|
525 |
+
<div class="bg-indigo-100 text-indigo-800 rounded-full w-8 h-8 flex items-center justify-center flex-shrink-0 mr-3">4</div>
|
526 |
+
<div>
|
527 |
+
<p class="font-medium">Perform row operations</p>
|
528 |
+
<p class="text-sm text-gray-600">Make pivot element 1, others in column 0</p>
|
529 |
+
</div>
|
530 |
+
</div>
|
531 |
+
|
532 |
+
<div class="flex items-start">
|
533 |
+
<div class="bg-indigo-100 text-indigo-800 rounded-full w-8 h-8 flex items-center justify-center flex-shrink-0 mr-3">5</div>
|
534 |
+
<div>
|
535 |
+
<p class="font-medium">Repeat until optimal</p>
|
536 |
+
<p class="text-sm text-gray-600">No negatives in bottom row (minimization)</p>
|
537 |
+
</div>
|
538 |
+
</div>
|
539 |
+
</div>
|
540 |
+
</div>
|
541 |
+
|
542 |
+
<div class="border-t border-gray-200 pt-4">
|
543 |
+
<h3 class="font-bold text-lg mb-3 text-indigo-700 flex items-center">
|
544 |
+
<i class="fas fa-table mr-2 text-green-500"></i> Interactive Tableau
|
545 |
+
</h3>
|
546 |
+
|
547 |
+
<div class="bg-gray-100 p-4 rounded-lg">
|
548 |
+
<div class="overflow-x-auto">
|
549 |
+
<table id="simplex-table" class="w-full bg-white border border-gray-200">
|
550 |
+
<thead>
|
551 |
+
<tr>
|
552 |
+
<th class="border px-4 py-2">Basic</th>
|
553 |
+
<th class="border px-4 py-2">x₁</th>
|
554 |
+
<th class="border px-4 py-2">x₂</th>
|
555 |
+
<th class="border px-4 py-2">s₁</th>
|
556 |
+
<th class="border px-4 py-2">s₂</th>
|
557 |
+
<th class="border px-4 py-2">RHS</th>
|
558 |
+
</tr>
|
559 |
+
</thead>
|
560 |
+
<tbody>
|
561 |
+
<tr>
|
562 |
+
<td class="border px-4 py-2">s₁</td>
|
563 |
+
<td class="border px-4 py-2">1</td>
|
564 |
+
<td class="border px-4 py-2">1</td>
|
565 |
+
<td class="border px-4 py-2">1</td>
|
566 |
+
<td class="border px-4 py-2">0</td>
|
567 |
+
<td class="border px-4 py-2">4</td>
|
568 |
+
</tr>
|
569 |
+
<tr>
|
570 |
+
<td class="border px-4 py-2">s₂</td>
|
571 |
+
<td class="border px-4 py-2">1</td>
|
572 |
+
<td class="border px-4 py-2">-1</td>
|
573 |
+
<td class="border px-4 py-2">0</td>
|
574 |
+
<td class="border px-4 py-2">-1</td>
|
575 |
+
<td class="border px-4 py-2">1</td>
|
576 |
+
</tr>
|
577 |
+
<tr class="bg-gray-50">
|
578 |
+
<td class="border px-4 py-2">z</td>
|
579 |
+
<td class="border px-4 py-2">-3</td>
|
580 |
+
<td class="border px-4 py-2">-2</td>
|
581 |
+
<td class="border px-4 py-2">0</td>
|
582 |
+
<td class="border px-4 py-2">0</td>
|
583 |
+
<td class="border px-4 py-2">0</td>
|
584 |
+
</tr>
|
585 |
+
</tbody>
|
586 |
+
</table>
|
587 |
+
</div>
|
588 |
+
|
589 |
+
<div class="mt-4 grid grid-cols-2 md:grid-cols-4 gap-2">
|
590 |
+
<button id="step-simplex" class="px-3 py-2 bg-blue-500 text-white rounded flex items-center justify-center">
|
591 |
+
<i class="fas fa-forward mr-2"></i> Next Step
|
592 |
+
</button>
|
593 |
+
<button id="reset-simplex" class="px-3 py-2 bg-gray-500 text-white rounded flex items-center justify-center">
|
594 |
+
<i class="fas fa-undo mr-2"></i> Reset
|
595 |
+
</button>
|
596 |
+
<button id="hint-simplex" class="px-3 py-2 bg-yellow-500 text-white rounded flex items-center justify-center">
|
597 |
+
<i class="fas fa-lightbulb mr-2"></i> Hint
|
598 |
+
</button>
|
599 |
+
<button id="auto-simplex" class="px-3 py-2 bg-green-500 text-white rounded flex items-center justify-center">
|
600 |
+
<i class="fas fa-robot mr-2"></i> Auto Solve
|
601 |
+
</button>
|
602 |
+
</div>
|
603 |
+
</div>
|
604 |
+
</div>
|
605 |
+
</div>
|
606 |
+
</div>
|
607 |
+
</div>
|
608 |
+
|
609 |
+
<!-- Duality Tab -->
|
610 |
+
<div id="duality" class="tab-content">
|
611 |
+
<div class="bg-white rounded-xl shadow-md overflow-hidden highlight-box">
|
612 |
+
<div class="p-5">
|
613 |
+
<div class="flex justify-between items-start">
|
614 |
+
<div>
|
615 |
+
<h2 class="text-2xl font-bold text-gray-800 mb-2">5. Duality</h2>
|
616 |
+
<p class="text-gray-600 mb-4">Understanding the dual problem and its relationship to the primal</p>
|
617 |
+
</div>
|
618 |
+
<button class="complete-topic px-4 py-2 bg-green-500 text-white rounded-lg flex items-center">
|
619 |
+
<i class="fas fa-check mr-2"></i> Mark Complete
|
620 |
+
</button>
|
621 |
+
</div>
|
622 |
+
|
623 |
+
<div class="grid grid-cols-1 md:grid-cols-2 gap-6 mb-6">
|
624 |
+
<div>
|
625 |
+
<h3 class="font-bold text-lg mb-3 text-indigo-700 flex items-center">
|
626 |
+
<i class="fas fa-project-diagram mr-2 text-purple-500"></i> Primal to Dual Rules
|
627 |
+
</h3>
|
628 |
+
|
629 |
+
<div class="space-y-4">
|
630 |
+
<div class="bg-gray-50 p-3 rounded-lg">
|
631 |
+
<p class="font-medium text-blue-700">Maximization → Minimization</p>
|
632 |
+
<p class="text-sm">(and vice versa)</p>
|
633 |
+
</div>
|
634 |
+
|
635 |
+
<div class="bg-gray-50 p-3 rounded-lg">
|
636 |
+
<p class="font-medium text-green-700">Constraints → Variables</p>
|
637 |
+
<p class="text-sm">Each primal constraint becomes a dual variable</p>
|
638 |
+
</div>
|
639 |
+
|
640 |
+
<div class="bg-gray-50 p-3 rounded-lg">
|
641 |
+
<p class="font-medium text-red-700">Variables → Constraints</p>
|
642 |
+
<p class="text-sm">Each primal variable becomes a dual constraint</p>
|
643 |
+
</div>
|
644 |
+
|
645 |
+
<div class="bg-gray-50 p-3 rounded-lg">
|
646 |
+
<p class="font-medium text-yellow-700">Coefficients transpose</p>
|
647 |
+
<p class="text-sm">Constraint matrix flips rows and columns</p>
|
648 |
+
</div>
|
649 |
+
</div>
|
650 |
+
</div>
|
651 |
+
|
652 |
+
<div>
|
653 |
+
<h3 class="font-bold text-lg mb-3 text-indigo-700 flex items-center">
|
654 |
+
<i class="fas fa-balance-scale mr-2 text-green-500"></i> Example
|
655 |
+
</h3>
|
656 |
+
|
657 |
+
<div class="bg-gray-100 p-4 rounded-lg">
|
658 |
+
<div class="grid grid-cols-1 md:grid-cols-2 gap-4">
|
659 |
+
<div>
|
660 |
+
<p class="font-medium text-center mb-2">Primal</p>
|
661 |
+
<div class="bg-white p-3 rounded">
|
662 |
+
<p class="text-sm font-mono">Max z = 3x₁ + 2x₂</p>
|
663 |
+
<p class="text-sm font-mono mt-1">x₁ + x₂ ≤ 4</p>
|
664 |
+
<p class="text-sm font-mono">x₁ - x₂ ≤ 1</p>
|
665 |
+
<p class="text-sm font-mono">x₁, x₂ ≥ 0</p>
|
666 |
+
</div>
|
667 |
+
</div>
|
668 |
+
|
669 |
+
<div>
|
670 |
+
<p class="font-medium text-center mb-2">Dual</p>
|
671 |
+
<div class="bg-white p-3 rounded">
|
672 |
+
<p class="text-sm font-mono">Min w = 4y₁ + y₂</p>
|
673 |
+
<p class="text-sm font-mono mt-1">y₁ + y₂ ≥ 3</p>
|
674 |
+
<p class="text-sm font-mono">y₁ - y₂ ≥ 2</p>
|
675 |
+
<p class="text-sm font-mono">y₁, y₂ ≥ 0</p>
|
676 |
+
</div>
|
677 |
+
</div>
|
678 |
+
</div>
|
679 |
+
|
680 |
+
<button id="duality-animation-btn" class="mt-4 w-full px-4 py-2 bg-indigo-600 text-white rounded-lg flex items-center justify-center">
|
681 |
+
<i class="fas fa-magic mr-2"></i> Show Transformation
|
682 |
+
</button>
|
683 |
+
</div>
|
684 |
+
</div>
|
685 |
+
</div>
|
686 |
+
|
687 |
+
<div class="border-t border-gray-200 pt-4">
|
688 |
+
<h3 class="font-bold text-lg mb-3 text-indigo-700 flex items-center">
|
689 |
+
<i class="fas fa-dumbbell mr-2 text-red-500"></i> Practice
|
690 |
+
</h3>
|
691 |
+
|
692 |
+
<div class="bg-orange-50 p-4 rounded-lg">
|
693 |
+
<p class="font-medium mb-2">Find the dual of:</p>
|
694 |
+
<div class="bg-white p-3 rounded mb-4">
|
695 |
+
<p class="text-sm font-mono">Min z = 2x₁ + 5x₂</p>
|
696 |
+
<p class="text-sm font-mono mt-1">3x₁ + x₂ ≥ 6</p>
|
697 |
+
<p class="text-sm font-mono">x₁ + 2x₂ ≥ 4</p>
|
698 |
+
<p class="text-sm font-mono">x₁, x₂ ≥ 0</p>
|
699 |
+
</div>
|
700 |
+
|
701 |
+
<div class="grid grid-cols-1 md:grid-cols-2 gap-4 mb-4">
|
702 |
+
<div>
|
703 |
+
<label class="block text-sm font-medium text-gray-700 mb-1">Objective:</label>
|
704 |
+
<input type="text" class="dual-input w-full px-3 py-2 border border-gray-300 rounded-md" placeholder="Min/Max...">
|
705 |
+
</div>
|
706 |
+
<div>
|
707 |
+
<label class="block text-sm font-medium text-gray-700 mb-1">Constraints:</label>
|
708 |
+
<input type="text" class="dual-input w-full px-3 py-2 border border-gray-300 rounded-md" placeholder="First constraint...">
|
709 |
+
<input type="text" class="dual-input w-full mt-2 px-3 py-2 border border-gray-300 rounded-md" placeholder="Second constraint...">
|
710 |
+
</div>
|
711 |
+
</div>
|
712 |
+
|
713 |
+
<button id="check-dual" class="px-4 py-2 bg-orange-500 text-white rounded-lg flex items-center">
|
714 |
+
<i class="fas fa-check-circle mr-2"></i> Check Answer
|
715 |
+
</button>
|
716 |
+
<div id="dual-feedback" class="mt-3 hidden"></div>
|
717 |
+
</div>
|
718 |
+
</div>
|
719 |
+
</div>
|
720 |
+
</div>
|
721 |
+
</div>
|
722 |
+
</div>
|
723 |
+
</div>
|
724 |
+
</div>
|
725 |
+
|
726 |
+
<!-- Modals -->
|
727 |
+
<div id="flashcards-modal" class="fixed inset-0 bg-black bg-opacity-50 flex items-center justify-center z-50 hidden">
|
728 |
+
<div class="bg-white rounded-xl shadow-xl w-full max-w-md mx-4">
|
729 |
+
<div class="p-5">
|
730 |
+
<div class="flex justify-between items-center mb-4">
|
731 |
+
<h3 class="text-xl font-bold">Flashcards</h3>
|
732 |
+
<button id="close-flashcards" class="text-gray-500 hover:text-gray-700">
|
733 |
+
<i class="fas fa-times"></i>
|
734 |
+
</button>
|
735 |
+
</div>
|
736 |
+
|
737 |
+
<div class="bg-blue-50 p-6 rounded-lg h-64 flex items-center justify-center">
|
738 |
+
<div id="flashcard-content" class="text-center">
|
739 |
+
<p class="text-lg font-medium">Click "Next" to start!</p>
|
740 |
+
</div>
|
741 |
+
</div>
|
742 |
+
|
743 |
+
<div class="flex justify-between mt-6">
|
744 |
+
<button id="prev-card" class="px-4 py-2 bg-gray-200 rounded-lg">
|
745 |
+
<i class="fas fa-arrow-left mr-2"></i> Previous
|
746 |
+
</button>
|
747 |
+
<button id="next-card" class="px-4 py-2 bg-indigo-600 text-white rounded-lg">
|
748 |
+
Next <i class="fas fa-arrow-right ml-2"></i>
|
749 |
+
</button>
|
750 |
+
</div>
|
751 |
+
</div>
|
752 |
+
</div>
|
753 |
+
</div>
|
754 |
+
|
755 |
+
<div id="quiz-modal" class="fixed inset-0 bg-black bg-opacity-50 flex items-center justify-center z-50 hidden">
|
756 |
+
<div class="bg-white rounded-xl shadow-xl w-full max-w-md mx-4">
|
757 |
+
<div class="p-5">
|
758 |
+
<div class="flex justify-between items-center mb-4">
|
759 |
+
<h3 class="text-xl font-bold">Pop Quiz</h3>
|
760 |
+
<button id="close-quiz" class="text-gray-500 hover:text-gray-700">
|
761 |
+
<i class="fas fa-times"></i>
|
762 |
+
</button>
|
763 |
+
</div>
|
764 |
+
|
765 |
+
<div id="quiz-question" class="mb-4">
|
766 |
+
<p class="font-medium mb-3">What is the first step in formulating an LP problem?</p>
|
767 |
+
<div class="space-y-2">
|
768 |
+
<label class="flex items-center space-x-2 p-2 border rounded-lg hover:bg-gray-50 cursor-pointer">
|
769 |
+
<input type="radio" name="quiz-answer" class="form-radio" value="A">
|
770 |
+
<span>Draw a graph</span>
|
771 |
+
</label>
|
772 |
+
<label class="flex items-center space-x-2 p-2 border rounded-lg hover:bg-gray-50 cursor-pointer">
|
773 |
+
<input type="radio" name="quiz-answer" class="form-radio" value="B">
|
774 |
+
<span>Identify the objective function</span>
|
775 |
+
</label>
|
776 |
+
<label class="flex items-center space-x-2 p-2 border rounded-lg hover:bg-gray-50 cursor-pointer">
|
777 |
+
<input type="radio" name="quiz-answer" class="form-radio" value="C">
|
778 |
+
<span>Add slack variables</span>
|
779 |
+
</label>
|
780 |
+
</div>
|
781 |
+
</div>
|
782 |
+
|
783 |
+
<div class="flex justify-between mt-6">
|
784 |
+
<div id="quiz-score" class="text-sm text-gray-600">Score: 0/0</div>
|
785 |
+
<button id="submit-quiz" class="px-4 py-2 bg-indigo-600 text-white rounded-lg">
|
786 |
+
Submit <i class="fas fa-check ml-2"></i>
|
787 |
+
</button>
|
788 |
+
</div>
|
789 |
+
</div>
|
790 |
+
</div>
|
791 |
+
</div>
|
792 |
+
|
793 |
+
<div id="timer-modal" class="fixed inset-0 bg-black bg-opacity-50 flex items-center justify-center z-50 hidden">
|
794 |
+
<div class="bg-white rounded-xl shadow-xl w-full max-w-md mx-4">
|
795 |
+
<div class="p-5">
|
796 |
+
<div class="flex justify-between items-center mb-4">
|
797 |
+
<h3 class="text-xl font-bold">Focus Timer</h3>
|
798 |
+
<button id="close-timer" class="text-gray-500 hover:text-gray-700">
|
799 |
+
<i class="fas fa-times"></i>
|
800 |
+
</button>
|
801 |
+
</div>
|
802 |
+
|
803 |
+
<div class="text-center mb-6">
|
804 |
+
<div class="text-5xl font-bold mb-2" id="timer-display">25:00</div>
|
805 |
+
<div class="text-gray-500">Minutes Remaining</div>
|
806 |
+
</div>
|
807 |
+
|
808 |
+
<div class="grid grid-cols-3 gap-2 mb-4">
|
809 |
+
<button data-minutes="5" class="timer-preset px-3 py-2 bg-blue-100 text-blue-700 rounded-lg">
|
810 |
+
5 min
|
811 |
+
</button>
|
812 |
+
<button data-minutes="15" class="timer-preset px-3 py-2 bg-blue-100 text-blue-700 rounded-lg">
|
813 |
+
15 min
|
814 |
+
</button>
|
815 |
+
<button data-minutes="25" class="timer-preset px-3 py-2 bg-blue-100 text-blue-700 rounded-lg">
|
816 |
+
25 min
|
817 |
+
</button>
|
818 |
+
</div>
|
819 |
+
|
820 |
+
<div class="flex justify-center space-x-4 mt-6">
|
821 |
+
<button id="start-timer" class="px-4 py-2 bg-green-500 text-white rounded-lg">
|
822 |
+
<i class="fas fa-play mr-2"></i> Start
|
823 |
+
</button>
|
824 |
+
<button id="pause-timer" class="px-4 py-2 bg-yellow-500 text-white rounded-lg">
|
825 |
+
<i class="fas fa-pause mr-2"></i> Pause
|
826 |
+
</button>
|
827 |
+
<button id="reset-timer" class="px-4 py-2 bg-red-500 text-white rounded-lg">
|
828 |
+
<i class="fas fa-stop mr-2"></i> Stop
|
829 |
+
</button>
|
830 |
+
</div>
|
831 |
+
</div>
|
832 |
+
</div>
|
833 |
+
</div>
|
834 |
+
|
835 |
+
<div id="distraction-modal" class="fixed inset-0 bg-black bg-opacity-50 flex items-center justify-center z-50 hidden">
|
836 |
+
<div class="bg-white rounded-xl shadow-xl w-full max-w-md mx-4">
|
837 |
+
<div class="p-5">
|
838 |
+
<div class="flex justify-between items-center mb-4">
|
839 |
+
<h3 class="text-xl font-bold">Focus Sounds</h3>
|
840 |
+
<button id="close-distraction" class="text-gray-500 hover:text-gray-700">
|
841 |
+
<i class="fas fa-times"></i>
|
842 |
+
</button>
|
843 |
+
</div>
|
844 |
+
|
845 |
+
<div class="space-y-3">
|
846 |
+
<label class="flex items-center space-x-3 p-3 border rounded-lg hover:bg-gray-50 cursor-pointer">
|
847 |
+
<input type="radio" name="sound" class="form-radio" value="rain">
|
848 |
+
<div class="flex-1">
|
849 |
+
<div class="font-medium">Rain</div>
|
850 |
+
<div class="text-sm text-gray-500">Gentle rainfall</div>
|
851 |
+
</div>
|
852 |
+
<i class="fas fa-volume-up text-gray-400"></i>
|
853 |
+
</label>
|
854 |
+
|
855 |
+
<label class="flex items-center space-x-3 p-3 border rounded-lg hover:bg-gray-50 cursor-pointer">
|
856 |
+
<input type="radio" name="sound" class="form-radio" value="coffee">
|
857 |
+
<div class="flex-1">
|
858 |
+
<div class="font-medium">Coffee Shop</div>
|
859 |
+
<div class="text-sm text-gray-500">Ambient chatter</div>
|
860 |
+
</div>
|
861 |
+
<i class="fas fa-volume-up text-gray-400"></i>
|
862 |
+
</label>
|
863 |
+
|
864 |
+
<label class="flex items-center space-x-3 p-3 border rounded-lg hover:bg-gray-50 cursor-pointer">
|
865 |
+
<input type="radio" name="sound" class="form-radio" value="white">
|
866 |
+
<div class="flex-1">
|
867 |
+
<div class="font-medium">White Noise</div>
|
868 |
+
<div class="text-sm text-gray-500">Static sound</div>
|
869 |
+
</div>
|
870 |
+
<i class="fas fa-volume-up text-gray-400"></i>
|
871 |
+
</label>
|
872 |
+
|
873 |
+
<label class="flex items-center space-x-3 p-3 border rounded-lg hover:bg-gray-50 cursor-pointer">
|
874 |
+
<input type="radio" name="sound" class="form-radio" value="none">
|
875 |
+
<div class="flex-1">
|
876 |
+
<div class="font-medium">None</div>
|
877 |
+
<div class="text-sm text-gray-500">Silence</div>
|
878 |
+
</div>
|
879 |
+
</label>
|
880 |
+
</div>
|
881 |
+
|
882 |
+
<div class="mt-6">
|
883 |
+
<label class="flex items-center space-x-2">
|
884 |
+
<input type="range" id="volume-control" min="0" max="1" step="0.1" value="0.5" class="w-full">
|
885 |
+
<span class="text-sm text-gray-600 w-10 text-right">50%</span>
|
886 |
+
</label>
|
887 |
+
</div>
|
888 |
+
</div>
|
889 |
+
</div>
|
890 |
+
</div>
|
891 |
+
|
892 |
+
<script>
|
893 |
+
// Study tips
|
894 |
+
const studyTips = [
|
895 |
+
"Work in short bursts (10-15 min) with breaks in between!",
|
896 |
+
"Use colorful pens or markers to make notes more engaging.",
|
897 |
+
"Try explaining concepts out loud to an imaginary friend.",
|
898 |
+
"Create silly mnemonics to remember key concepts.",
|
899 |
+
"Reward yourself after completing each topic.",
|
900 |
+
"Use movement - pace while reviewing or sit on an exercise ball.",
|
901 |
+
"Chew gum or have a fidget toy to help focus.",
|
902 |
+
"Make up real-world examples that interest you.",
|
903 |
+
"Record yourself explaining concepts and listen back.",
|
904 |
+
"Change study locations frequently to stay engaged."
|
905 |
+
];
|
906 |
+
|
907 |
+
let currentTipIndex = 0;
|
908 |
+
document.getElementById('study-tip').textContent = studyTips[currentTipIndex];
|
909 |
+
|
910 |
+
document.getElementById('next-tip').addEventListener('click', () => {
|
911 |
+
currentTipIndex = (currentTipIndex + 1) % studyTips.length;
|
912 |
+
document.getElementById('study-tip').textContent = studyTips[currentTipIndex];
|
913 |
+
});
|
914 |
+
|
915 |
+
document.getElementById('prev-tip').addEventListener('click', () => {
|
916 |
+
currentTipIndex = (currentTipIndex - 1 + studyTips.length) % studyTips.length;
|
917 |
+
document.getElementById('study-tip').textContent = studyTips[currentTipIndex];
|
918 |
+
});
|
919 |
+
|
920 |
+
// Tab navigation
|
921 |
+
document.querySelectorAll('.tab-btn').forEach(btn => {
|
922 |
+
btn.addEventListener('click', () => {
|
923 |
+
const tabId = btn.getAttribute('data-tab');
|
924 |
+
|
925 |
+
// Hide all tab contents
|
926 |
+
document.querySelectorAll('.tab-content').forEach(tab => {
|
927 |
+
tab.classList.remove('active');
|
928 |
+
});
|
929 |
+
|
930 |
+
// Show selected tab
|
931 |
+
document.getElementById(tabId).classList.add('active');
|
932 |
+
|
933 |
+
// Update active tab button
|
934 |
+
document.querySelectorAll('.tab-btn').forEach(t => {
|
935 |
+
t.classList.remove('bg-indigo-50', 'text-indigo-700');
|
936 |
+
t.classList.add('hover:bg-indigo-50', 'text-gray-700');
|
937 |
+
});
|
938 |
+
|
939 |
+
btn.classList.remove('hover:bg-indigo-50', 'text-gray-700');
|
940 |
+
btn.classList.add('bg-indigo-50', 'text-indigo-700');
|
941 |
+
});
|
942 |
+
});
|
943 |
+
|
944 |
+
// Mark topic complete
|
945 |
+
document.querySelectorAll('.complete-topic').forEach(btn => {
|
946 |
+
btn.addEventListener('click', function() {
|
947 |
+
const topicId = this.closest('.tab-content').id;
|
948 |
+
const tabBtn = document.querySelector(`.tab-btn[data-tab="${topicId}"]`);
|
949 |
+
|
950 |
+
// Add checkmark
|
951 |
+
const checkIcon = tabBtn.querySelector('i');
|
952 |
+
checkIcon.classList.remove('opacity-0');
|
953 |
+
|
954 |
+
// Update progress
|
955 |
+
updateProgress();
|
956 |
+
|
957 |
+
// Confetti effect
|
958 |
+
createConfetti(this);
|
959 |
+
});
|
960 |
+
});
|
961 |
+
|
962 |
+
function updateProgress() {
|
963 |
+
const completedTopics = document.querySelectorAll('.tab-btn i:not(.opacity-0)').length;
|
964 |
+
const totalTopics = document.querySelectorAll('.tab-btn').length;
|
965 |
+
const percentage = Math.round((completedTopics / totalTopics) * 100);
|
966 |
+
|
967 |
+
document.getElementById('progress-bar').style.width = `${percentage}%`;
|
968 |
+
document.getElementById('progress-text').textContent = `${percentage}% Complete`;
|
969 |
+
}
|
970 |
+
|
971 |
+
function createConfetti(element) {
|
972 |
+
const rect = element.getBoundingClientRect();
|
973 |
+
const colors = ['#f00', '#0f0', '#00f', '#ff0', '#f0f', '#0ff'];
|
974 |
+
|
975 |
+
for (let i = 0; i < 50; i++) {
|
976 |
+
const confetti = document.createElement('div');
|
977 |
+
confetti.className = 'confetti';
|
978 |
+
confetti.style.backgroundColor = colors[Math.floor(Math.random() * colors.length)];
|
979 |
+
confetti.style.left = `${rect.left + rect.width/2}px`;
|
980 |
+
confetti.style.top = `${rect.top}px`;
|
981 |
+
confetti.style.transform = `rotate(${Math.random() * 360}deg)`;
|
982 |
+
|
983 |
+
document.body.appendChild(confetti);
|
984 |
+
|
985 |
+
const animation = confetti.animate([
|
986 |
+
{ transform: `translate(0, 0) rotate(0)`, opacity: 1 },
|
987 |
+
{ transform: `translate(${Math.random() * 200 - 100}px, ${window.innerHeight}px) rotate(${Math.random() * 360}deg)`, opacity: 0 }
|
988 |
+
], {
|
989 |
+
duration: 1000 + Math.random() * 2000,
|
990 |
+
easing: 'cubic-bezier(0.1, 0.8, 0.3, 1)'
|
991 |
+
});
|
992 |
+
|
993 |
+
animation.onfinish = () => confetti.remove();
|
994 |
+
}
|
995 |
+
}
|
996 |
+
|
997 |
+
// Example animation
|
998 |
+
document.getElementById('example-animation-btn').addEventListener('click', function() {
|
999 |
+
const exampleDiv = this.previousElementSibling;
|
1000 |
+
exampleDiv.classList.add('pulsing');
|
1001 |
+
|
1002 |
+
setTimeout(() => {
|
1003 |
+
exampleDiv.classList.remove('pulsing');
|
1004 |
+
}, 1500);
|
1005 |
+
});
|
1006 |
+
|
1007 |
+
// Graphical solutions
|
1008 |
+
let constraints = [];
|
1009 |
+
|
1010 |
+
document.getElementById('add-constraint-btn').addEventListener('click', function() {
|
1011 |
+
const newConstraint = prompt("Enter constraint (e.g., x + y ≤ 10):");
|
1012 |
+
if (newConstraint) {
|
1013 |
+
constraints.push(newConstraint);
|
1014 |
+
updateGraph();
|
1015 |
+
}
|
1016 |
+
});
|
1017 |
+
|
1018 |
+
document.getElementById('find-optimal-btn').addEventListener('click', function() {
|
1019 |
+
alert("Finding optimal solution at corner points...");
|
1020 |
+
// In a real implementation, we would calculate the optimal solution
|
1021 |
+
});
|
1022 |
+
|
1023 |
+
function updateGraph() {
|
1024 |
+
const svg = document.getElementById('graph-svg');
|
1025 |
+
|
1026 |
+
// Clear existing constraints
|
1027 |
+
svg.querySelectorAll('.constraint-line, .feasible-region').forEach(el => el.remove());
|
1028 |
+
|
1029 |
+
// Add new constraints
|
1030 |
+
constraints.forEach((constraint, index) => {
|
1031 |
+
const color = ['#3B82F6', '#10B981', '#F59E0B', '#EC4899', '#8B5CF6'][index % 5];
|
1032 |
+
|
1033 |
+
// This is a simplified version - in a real app, we'd parse the constraint
|
1034 |
+
const line = document.createElementNS("http://www.w3.org/2000/svg", "line");
|
1035 |
+
line.setAttribute('x1', '50');
|
1036 |
+
line.setAttribute('y1', '250');
|
1037 |
+
line.setAttribute('x2', '350');
|
1038 |
+
line.setAttribute('y2', '50');
|
1039 |
+
line.setAttribute('stroke', color);
|
1040 |
+
line.setAttribute('stroke-width', '2');
|
1041 |
+
line.setAttribute('stroke-dasharray', '5');
|
1042 |
+
line.classList.add('constraint-line');
|
1043 |
+
svg.appendChild(line);
|
1044 |
+
|
1045 |
+
// Add label
|
1046 |
+
const text = document.createElementNS("http://www.w3.org/2000/svg", "text");
|
1047 |
+
text.setAttribute('x', '300');
|
1048 |
+
text.setAttribute('y', '40');
|
1049 |
+
text.setAttribute('fill', color);
|
1050 |
+
text.setAttribute('font-size', '12');
|
1051 |
+
text.textContent = constraint;
|
1052 |
+
svg.appendChild(text);
|
1053 |
+
});
|
1054 |
+
|
1055 |
+
// Add feasible region (simplified)
|
1056 |
+
if (constraints.length >= 2) {
|
1057 |
+
const polygon = document.createElementNS("http://www.w3.org/2000/svg", "polygon");
|
1058 |
+
polygon.setAttribute('points', '150,150 200,100 250,150 200,200');
|
1059 |
+
polygon.setAttribute('fill', '#3B82F6');
|
1060 |
+
polygon.classList.add('feasible-region');
|
1061 |
+
svg.appendChild(polygon);
|
1062 |
+
}
|
1063 |
+
}
|
1064 |
+
|
1065 |
+
// Flashcards
|
1066 |
+
const flashcards = [
|
1067 |
+
{ question: "What is the objective function?", answer: "The function you want to maximize or minimize in an LP problem." },
|
1068 |
+
{ question: "What are constraints?", answer: "Limitations or requirements in an LP problem, expressed as inequalities or equations." },
|
1069 |
+
{ question: "What is the feasible region?", answer: "The set of all possible points that satisfy all constraints." },
|
1070 |
+
{ question: "What is the simplex method?", answer: "An algorithm for solving LP problems by moving from one vertex of the feasible region to another." },
|
1071 |
+
{ question: "What is duality in LP?", answer: "Every LP problem has a corresponding dual problem with interesting relationships." }
|
1072 |
+
];
|
1073 |
+
|
1074 |
+
let currentCardIndex = 0;
|
1075 |
+
let showingAnswer = false;
|
1076 |
+
|
1077 |
+
document.getElementById('flashcards-btn').addEventListener('click', function() {
|
1078 |
+
document.getElementById('flashcards-modal').classList.remove('hidden');
|
1079 |
+
showFlashcardQuestion();
|
1080 |
+
});
|
1081 |
+
|
1082 |
+
document.getElementById('close-flashcards').addEventListener('click', function() {
|
1083 |
+
document.getElementById('flashcards-modal').classList.add('hidden');
|
1084 |
+
});
|
1085 |
+
|
1086 |
+
document.getElementById('next-card').addEventListener('click', function() {
|
1087 |
+
if (showingAnswer) {
|
1088 |
+
currentCardIndex = (currentCardIndex + 1) % flashcards.length;
|
1089 |
+
showFlashcardQuestion();
|
1090 |
+
} else {
|
1091 |
+
showFlashcardAnswer();
|
1092 |
+
}
|
1093 |
+
});
|
1094 |
+
|
1095 |
+
document.getElementById('prev-card').addEventListener('click', function() {
|
1096 |
+
if (!showingAnswer) {
|
1097 |
+
currentCardIndex = (currentCardIndex - 1 + flashcards.length) % flashcards.length;
|
1098 |
+
showFlashcardQuestion();
|
1099 |
+
}
|
1100 |
+
});
|
1101 |
+
|
1102 |
+
function showFlashcardQuestion() {
|
1103 |
+
const card = flashcards[currentCardIndex];
|
1104 |
+
document.getElementById('flashcard-content').innerHTML = `
|
1105 |
+
<p class="text-lg font-medium mb-4">${card.question}</p>
|
1106 |
+
<button id="show-answer" class="px-3 py-1 bg-blue-100 text-blue-700 rounded-full text-sm">
|
1107 |
+
Show Answer
|
1108 |
+
</button>
|
1109 |
+
`;
|
1110 |
+
showingAnswer = false;
|
1111 |
+
|
1112 |
+
document.getElementById('show-answer').addEventListener('click', showFlashcardAnswer);
|
1113 |
+
}
|
1114 |
+
|
1115 |
+
function showFlashcardAnswer() {
|
1116 |
+
const card = flashcards[currentCardIndex];
|
1117 |
+
document.getElementById('flashcard-content').innerHTML = `
|
1118 |
+
<p class="text-lg font-medium mb-2">${card.question}</p>
|
1119 |
+
<p class="text-gray-700">${card.answer}</p>
|
1120 |
+
`;
|
1121 |
+
showingAnswer = true;
|
1122 |
+
}
|
1123 |
+
|
1124 |
+
// Quiz
|
1125 |
+
const quizQuestions = [
|
1126 |
+
{
|
1127 |
+
question: "What is the first step in formulating an LP problem?",
|
1128 |
+
options: ["Draw a graph", "Identify the objective function", "Add slack variables"],
|
1129 |
+
answer: "B"
|
1130 |
+
},
|
1131 |
+
{
|
1132 |
+
question: "Where is the optimal solution found in graphical LP?",
|
1133 |
+
options: ["At the center of the feasible region", "At a corner point", "Anywhere on a constraint line"],
|
1134 |
+
answer: "B"
|
1135 |
+
},
|
1136 |
+
{
|
1137 |
+
question: "What do you add to convert a ≤ constraint to standard form?",
|
1138 |
+
options: ["Surplus variable", "Slack variable", "Artificial variable"],
|
1139 |
+
answer: "B"
|
1140 |
+
}
|
1141 |
+
];
|
1142 |
+
|
1143 |
+
let currentQuestionIndex = 0;
|
1144 |
+
let quizScore = 0;
|
1145 |
+
|
1146 |
+
document.getElementById('quiz-btn').addEventListener('click', function() {
|
1147 |
+
document.getElementById('quiz-modal').classList.remove('hidden');
|
1148 |
+
showQuizQuestion();
|
1149 |
+
});
|
1150 |
+
|
1151 |
+
document.getElementById('close-quiz').addEventListener('click', function() {
|
1152 |
+
document.getElementById('quiz-modal').classList.add('hidden');
|
1153 |
+
});
|
1154 |
+
|
1155 |
+
document.getElementById('submit-quiz').addEventListener('click', function() {
|
1156 |
+
const selectedOption = document.querySelector('input[name="quiz-answer"]:checked');
|
1157 |
+
if (selectedOption) {
|
1158 |
+
if (selectedOption.value === quizQuestions[currentQuestionIndex].answer) {
|
1159 |
+
quizScore++;
|
1160 |
+
alert("Correct! 🎉");
|
1161 |
+
} else {
|
1162 |
+
alert(`Incorrect. The correct answer is ${quizQuestions[currentQuestionIndex].answer}.`);
|
1163 |
+
}
|
1164 |
+
|
1165 |
+
currentQuestionIndex++;
|
1166 |
+
if (currentQuestionIndex < quizQuestions.length) {
|
1167 |
+
showQuizQuestion();
|
1168 |
+
} else {
|
1169 |
+
alert(`Quiz complete! Your score: ${quizScore}/${quizQuestions.length}`);
|
1170 |
+
document.getElementById('quiz-modal').classList.add('hidden');
|
1171 |
+
currentQuestionIndex = 0;
|
1172 |
+
quizScore = 0;
|
1173 |
+
}
|
1174 |
+
|
1175 |
+
document.getElementById('quiz-score').textContent = `Score: ${quizScore}/${currentQuestionIndex}`;
|
1176 |
+
} else {
|
1177 |
+
alert("Please select an answer!");
|
1178 |
+
}
|
1179 |
+
});
|
1180 |
+
|
1181 |
+
function showQuizQuestion() {
|
1182 |
+
const question = quizQuestions[currentQuestionIndex];
|
1183 |
+
document.getElementById('quiz-question').innerHTML = `
|
1184 |
+
<p class="font-medium mb-3">${question.question}</p>
|
1185 |
+
<div class="space-y-2">
|
1186 |
+
${question.options.map((opt, i) => `
|
1187 |
+
<label class="flex items-center space-x-2 p-2 border rounded-lg hover:bg-gray-50 cursor-pointer">
|
1188 |
+
<input type="radio" name="quiz-answer" class="form-radio" value="${String.fromCharCode(65 + i)}">
|
1189 |
+
<span>${opt}</span>
|
1190 |
+
</label>
|
1191 |
+
`).join('')}
|
1192 |
+
</div>
|
1193 |
+
`;
|
1194 |
+
}
|
1195 |
+
|
1196 |
+
// Timer
|
1197 |
+
let timerInterval;
|
1198 |
+
let timeLeft = 25 * 60; // 25 minutes in seconds
|
1199 |
+
|
1200 |
+
document.getElementById('timer-btn').addEventListener('click', function() {
|
1201 |
+
document.getElementById('timer-modal').classList.remove('hidden');
|
1202 |
+
updateTimerDisplay();
|
1203 |
+
});
|
1204 |
+
|
1205 |
+
document.getElementById('close-timer').addEventListener('click', function() {
|
1206 |
+
document.getElementById('timer-modal').classList.add('hidden');
|
1207 |
+
});
|
1208 |
+
|
1209 |
+
document.querySelectorAll('.timer-preset').forEach(btn => {
|
1210 |
+
btn.addEventListener('click', function() {
|
1211 |
+
const minutes = parseInt(this.getAttribute('data-minutes'));
|
1212 |
+
timeLeft = minutes * 60;
|
1213 |
+
updateTimerDisplay();
|
1214 |
+
});
|
1215 |
+
});
|
1216 |
+
|
1217 |
+
document.getElementById('start-timer').addEventListener('click', function() {
|
1218 |
+
if (!timerInterval) {
|
1219 |
+
timerInterval = setInterval(() => {
|
1220 |
+
timeLeft--;
|
1221 |
+
updateTimerDisplay();
|
1222 |
+
|
1223 |
+
if (timeLeft <= 0) {
|
1224 |
+
clearInterval(timerInterval);
|
1225 |
+
timerInterval = null;
|
1226 |
+
alert("Time's up! Take a break!");
|
1227 |
+
}
|
1228 |
+
}, 1000);
|
1229 |
+
}
|
1230 |
+
});
|
1231 |
+
|
1232 |
+
document.getElementById('pause-timer').addEventListener('click', function() {
|
1233 |
+
if (timerInterval) {
|
1234 |
+
clearInterval(timerInterval);
|
1235 |
+
timerInterval = null;
|
1236 |
+
}
|
1237 |
+
});
|
1238 |
+
|
1239 |
+
document.getElementById('reset-timer').addEventListener('click', function() {
|
1240 |
+
if (timerInterval) {
|
1241 |
+
clearInterval(timerInterval);
|
1242 |
+
timerInterval = null;
|
1243 |
+
}
|
1244 |
+
timeLeft = 25 * 60;
|
1245 |
+
updateTimerDisplay();
|
1246 |
+
});
|
1247 |
+
|
1248 |
+
function updateTimerDisplay() {
|
1249 |
+
const minutes = Math.floor(timeLeft / 60);
|
1250 |
+
const seconds = timeLeft % 60;
|
1251 |
+
document.getElementById('timer-display').textContent =
|
1252 |
+
`${minutes}:${seconds < 10 ? '0' : ''}${seconds}`;
|
1253 |
+
}
|
1254 |
+
|
1255 |
+
// Distraction sounds
|
1256 |
+
document.getElementById('distraction-btn').addEventListener('click', function() {
|
1257 |
+
document.getElementById('distraction-modal').classList.remove('hidden');
|
1258 |
+
});
|
1259 |
+
|
1260 |
+
document.getElementById('close-distraction').addEventListener('click', function() {
|
1261 |
+
document.getElementById('distraction-modal').classList.add('hidden');
|
1262 |
+
});
|
1263 |
+
|
1264 |
+
document.getElementById('volume-control').addEventListener('input', function() {
|
1265 |
+
document.querySelector('.text-right').textContent = `${this.value * 100}%`;
|
1266 |
+
});
|
1267 |
+
|
1268 |
+
// Focus mode
|
1269 |
+
document.getElementById('focus-mode').addEventListener('click', function() {
|
1270 |
+
document.body.classList.toggle('bg-gray-900');
|
1271 |
+
document.querySelector('.container').classList.toggle('text-white');
|
1272 |
+
document.querySelectorAll('.bg-white').forEach(el => el.classList.toggle('bg-gray-800'));
|
1273 |
+
document.querySelectorAll('.text-gray-800').forEach(el => el.classList.toggle('text-gray-200'));
|
1274 |
+
document.querySelectorAll('.text-gray-600').forEach(el => el.classList.toggle('text-gray-400'));
|
1275 |
+
|
1276 |
+
if (document.body.classList.contains('bg-gray-900')) {
|
1277 |
+
this.innerHTML = '<i class="fas fa-sun mr-1"></i> Light Mode';
|
1278 |
+
} else {
|
1279 |
+
this.innerHTML = '<i class="fas fa-crosshairs mr-1"></i> Focus Mode';
|
1280 |
+
}
|
1281 |
+
});
|
1282 |
+
|
1283 |
+
// Practice feedback
|
1284 |
+
document.getElementById('check-practice').addEventListener('click', function() {
|
1285 |
+
const feedback = document.getElementById('practice-feedback');
|
1286 |
+
feedback.classList.remove('hidden');
|
1287 |
+
feedback.innerHTML = `
|
1288 |
+
<div class="bg-green-100 border border-green-400 text-green-700 px-4 py-3 rounded">
|
1289 |
+
<p>Good attempt! Here's the correct formulation:</p>
|
1290 |
+
<p class="font-mono mt-1">Max P = 15x + 20y</p>
|
1291 |
+
<p class="font-mono">4x ≤ 20</p>
|
1292 |
+
<p class="font-mono">10y ≤ 30</p>
|
1293 |
+
<p class="font-mono">x, y ≥ 0</p>
|
1294 |
+
</div>
|
1295 |
+
`;
|
1296 |
+
});
|
1297 |
+
|
1298 |
+
document.getElementById('check-std-form').addEventListener('click', function() {
|
1299 |
+
const feedback = document.getElementById('std-form-feedback');
|
1300 |
+
feedback.classList.remove('hidden');
|
1301 |
+
feedback.innerHTML = `
|
1302 |
+
<div class="bg-green-100 border border-green-400 text-green-700 px-4 py-3 rounded">
|
1303 |
+
<p>Correct standard form would be:</p>
|
1304 |
+
<p class="font-mono mt-1">Maximize z = 3x₁ + 2x₂⁺ - 2x₂⁻</p>
|
1305 |
+
<p class="font-mono">x₁ + x₂⁺ - x₂⁻ + s₁ = 4</p>
|
1306 |
+
<p class="font-mono">x₁ - x₂⁺ + x₂⁻ - s₂ = 1</p>
|
1307 |
+
<p class="font-mono">x₁, x₂⁺, x₂⁻, s₁, s₂ ≥ 0</p>
|
1308 |
+
</div>
|
1309 |
+
`;
|
1310 |
+
});
|
1311 |
+
|
1312 |
+
document.getElementById('check-dual').addEventListener('click', function() {
|
1313 |
+
const feedback = document.getElementById('dual-feedback');
|
1314 |
+
feedback.classList.remove('hidden');
|
1315 |
+
feedback.innerHTML = `
|
1316 |
+
<div class="bg-green-100 border border-green-400 text-green-700 px-4 py-3 rounded">
|
1317 |
+
<p>The dual problem is:</p>
|
1318 |
+
<p class="font-mono mt-1">Max w = 6y₁ + 4y₂</p>
|
1319 |
+
<p class="font-mono">3y₁ + y₂ ≤ 2</p>
|
1320 |
+
<p class="font-mono">y₁ + 2y₂ ≤ 5</p>
|
1321 |
+
<p class="font-mono">y₁, y₂ ≥ 0</p>
|
1322 |
+
</div>
|
1323 |
+
`;
|
1324 |
+
});
|
1325 |
+
|
1326 |
+
// Simplex method interaction
|
1327 |
+
document.getElementById('step-simplex').addEventListener('click', function() {
|
1328 |
+
alert("Performing next simplex iteration...");
|
1329 |
+
// In a real implementation, we would update the tableau
|
1330 |
+
});
|
1331 |
+
|
1332 |
+
document.getElementById('hint-simplex').addEventListener('click', function() {
|
1333 |
+
alert("Hint: Look for the most negative number in the bottom row to choose the pivot column.");
|
1334 |
+
});
|
1335 |
+
|
1336 |
+
document.getElementById('auto-simplex').addEventListener('click', function() {
|
1337 |
+
alert("Automatically solving the problem...");
|
1338 |
+
// In a real implementation, we would solve the entire problem
|
1339 |
+
});
|
1340 |
+
|
1341 |
+
document.getElementById('reset-simplex').addEventListener('click', function() {
|
1342 |
+
alert("Resetting the tableau to initial state...");
|
1343 |
+
// In a real implementation, we would reset the tableau
|
1344 |
+
});
|
1345 |
+
|
1346 |
+
// Duality animation
|
1347 |
+
document.getElementById('duality-animation-btn').addEventListener('click', function() {
|
1348 |
+
const exampleDiv = this.closest('.bg-gray-100');
|
1349 |
+
exampleDiv.classList.add('pulsing');
|
1350 |
+
|
1351 |
+
setTimeout(() => {
|
1352 |
+
exampleDiv.classList.remove('pulsing');
|
1353 |
+
}, 1500);
|
1354 |
+
});
|
1355 |
+
</script>
|
1356 |
+
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