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update maths file
Browse files- math-ds-complete/app.js +695 -375
- math-ds-complete/index.html +0 -0
- math-ds-complete/style.css +866 -468
math-ds-complete/app.js
CHANGED
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@@ -18,14 +18,28 @@ let animationFrames = {};
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// ===== INITIALIZATION =====
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document.addEventListener('DOMContentLoaded', () => {
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initNavigation();
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initSubjectTabs();
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initInteractiveElements();
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setupScrollObserver();
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initializeAllVisualizations();
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-
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// Show initial subject
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switchSubject('statistics');
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});
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// ===== SUBJECT SWITCHING =====
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@@ -41,7 +55,7 @@ function initSubjectTabs() {
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function switchSubject(subject) {
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currentSubject = subject;
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-
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// Update active tab
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document.querySelectorAll('.subject-tab').forEach(tab => {
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tab.classList.remove('active');
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@@ -49,7 +63,7 @@ function switchSubject(subject) {
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tab.classList.add('active');
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}
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});
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-
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// Update sidebar title
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const titles = {
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'statistics': 'Statistics Content',
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@@ -62,7 +76,7 @@ function switchSubject(subject) {
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if (sidebarTitle) {
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sidebarTitle.textContent = titles[subject];
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}
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-
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// Show/hide sidebar modules
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document.querySelectorAll('.module').forEach(module => {
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const moduleSubject = module.dataset.subject;
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@@ -73,13 +87,13 @@ function switchSubject(subject) {
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module.style.display = subject === 'statistics' ? 'block' : 'none';
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}
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});
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-
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// Show/hide topic sections
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document.querySelectorAll('.topic-section').forEach(section => {
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const sectionSubject = section.dataset.subject || 'statistics';
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section.style.display = sectionSubject === subject ? 'block' : 'none';
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});
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-
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// Scroll to first topic of subject
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const firstTopic = document.querySelector(`.topic-section[data-subject="${subject}"], .topic-section:not([data-subject])`);
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if (firstTopic && subject !== 'statistics') {
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@@ -101,7 +115,7 @@ function initNavigation() {
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// Mobile menu toggle
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const mobileMenuBtn = document.getElementById('mobileMenuBtn');
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const sidebar = document.getElementById('sidebar');
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-
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if (mobileMenuBtn) {
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mobileMenuBtn.addEventListener('click', () => {
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sidebar.classList.toggle('active');
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@@ -114,17 +128,17 @@ function initNavigation() {
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link.addEventListener('click', (e) => {
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e.preventDefault();
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const topicId = link.getAttribute('data-topic');
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-
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// Handle both 'topic-X' and 'ml-topic-X' formats
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let target = document.getElementById(topicId);
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if (!target && !topicId.includes('-')) {
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target = document.getElementById(`topic-${topicId}`);
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}
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-
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if (target) {
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target.scrollIntoView({ behavior: 'smooth', block: 'start' });
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updateActiveLink(topicId);
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-
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// Close mobile menu if open
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if (window.innerWidth <= 1024) {
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sidebar.classList.remove('active');
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@@ -230,14 +244,14 @@ function calculateMedian(data) {
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function calculateMode(data) {
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const frequency = {};
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let maxFreq = 0;
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-
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data.forEach(val => {
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frequency[val] = (frequency[val] || 0) + 1;
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maxFreq = Math.max(maxFreq, frequency[val]);
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});
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-
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if (maxFreq === 1) return 'None';
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-
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const modes = Object.keys(frequency).filter(key => frequency[key] === maxFreq);
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return modes.join(', ');
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}
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@@ -257,17 +271,17 @@ function calculateQuartiles(data) {
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const sorted = [...data].sort((a, b) => a - b);
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const q2 = calculateMedian(sorted);
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const midIndex = Math.floor(sorted.length / 2);
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-
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const lowerHalf = sorted.length % 2 === 0
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? sorted.slice(0, midIndex)
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: sorted.slice(0, midIndex);
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const upperHalf = sorted.length % 2 === 0
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? sorted.slice(midIndex)
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: sorted.slice(midIndex + 1);
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-
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const q1 = calculateMedian(lowerHalf);
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const q3 = calculateMedian(upperHalf);
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-
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return { q1, q2, q3 };
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}
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@@ -276,7 +290,7 @@ function calculateIQR(data) {
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const iqr = q3 - q1;
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const lowerFence = q1 - 1.5 * iqr;
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const upperFence = q3 + 1.5 * iqr;
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-
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return { q1, q3, iqr, lowerFence, upperFence };
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}
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@@ -289,11 +303,11 @@ function calculateCovariance(x, y) {
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const meanX = calculateMean(x);
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const meanY = calculateMean(y);
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let sum = 0;
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-
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for (let i = 0; i < x.length; i++) {
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sum += (x[i] - meanX) * (y[i] - meanY);
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}
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-
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return sum / (x.length - 1);
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}
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@@ -310,12 +324,12 @@ function calculateCorrelation(x, y) {
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function initPopulationSampleViz() {
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const canvas = document.getElementById('populationSampleCanvas');
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if (!canvas) return;
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-
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const ctx = canvas.getContext('2d');
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let population = [];
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let sample = [];
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let sampleSize = 30;
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-
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// Initialize population
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for (let i = 0; i < 200; i++) {
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population.push({
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@@ -324,57 +338,57 @@ function initPopulationSampleViz() {
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inSample: false
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});
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}
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-
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function draw() {
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clearCanvas(ctx, canvas);
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-
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// Draw title
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drawText(ctx, 'Population (All dots) vs Sample (Highlighted)', canvas.width / 2, 30, 16, COLORS.cyan);
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-
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// Draw population
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population.forEach(point => {
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const color = point.inSample ? COLORS.orange : COLORS.primary;
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const radius = point.inSample ? 6 : 4;
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drawCircle(ctx, point.x, point.y, radius, color);
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});
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-
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// Draw statistics
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const popCount = population.length;
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const sampleCount = population.filter(p => p.inSample).length;
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drawText(ctx, `Population Size: N = ${popCount}`, 150, canvas.height - 20, 14, COLORS.text, 'center');
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drawText(ctx, `Sample Size: n = ${sampleCount}`, canvas.width - 150, canvas.height - 20, 14, COLORS.orange, 'center');
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}
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-
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function takeSample() {
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// Reset all
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population.forEach(p => p.inSample = false);
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-
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// Randomly select sample
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const shuffled = [...population].sort(() => Math.random() - 0.5);
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for (let i = 0; i < Math.min(sampleSize, population.length); i++) {
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shuffled[i].inSample = true;
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}
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-
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draw();
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}
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-
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// Event listeners
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const sampleBtn = document.getElementById('sampleBtn');
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const resetBtn = document.getElementById('resetPopBtn');
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const sizeSlider = document.getElementById('sampleSizeSlider');
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const sizeLabel = document.getElementById('sampleSizeLabel');
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-
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if (sampleBtn) {
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sampleBtn.addEventListener('click', takeSample);
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}
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-
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if (resetBtn) {
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resetBtn.addEventListener('click', () => {
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population.forEach(p => p.inSample = false);
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draw();
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});
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}
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-
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if (sizeSlider) {
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sizeSlider.addEventListener('input', (e) => {
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sampleSize = parseInt(e.target.value);
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@@ -383,7 +397,7 @@ function initPopulationSampleViz() {
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}
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});
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}
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-
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draw();
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}
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@@ -391,73 +405,73 @@ function initPopulationSampleViz() {
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function initCentralTendencyViz() {
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const canvas = document.getElementById('centralTendencyCanvas');
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if (!canvas) return;
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-
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const ctx = canvas.getContext('2d');
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let data = [10, 20, 30, 40, 50];
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-
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function parseInput(input) {
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return input.split(',').map(s => parseFloat(s.trim())).filter(n => !isNaN(n));
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}
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-
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function draw() {
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clearCanvas(ctx, canvas);
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-
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if (data.length === 0) {
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drawText(ctx, 'Please enter valid numbers', canvas.width / 2, canvas.height / 2, 16, COLORS.orange);
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return;
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}
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-
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const sorted = [...data].sort((a, b) => a - b);
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const min = Math.min(...sorted);
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const max = Math.max(...sorted);
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const range = max - min || 1;
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const padding = 80;
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const width = canvas.width - 2 * padding;
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-
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// Calculate statistics
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const mean = calculateMean(data);
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const median = calculateMedian(data);
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const mode = calculateMode(data);
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-
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// Update results display
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document.getElementById('meanResult').textContent = mean.toFixed(2);
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document.getElementById('medianResult').textContent = median.toFixed(2);
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document.getElementById('modeResult').textContent = mode;
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-
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// Draw axis
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const axisY = canvas.height / 2;
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drawLine(ctx, padding, axisY, canvas.width - padding, axisY, COLORS.text, 2);
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-
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// Draw data points
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sorted.forEach((val, idx) => {
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const x = padding + ((val - min) / range) * width;
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drawCircle(ctx, x, axisY, 8, COLORS.primary);
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drawText(ctx, val.toString(), x, axisY + 30, 12, COLORS.text);
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});
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-
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// Draw mean
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const meanX = padding + ((mean - min) / range) * width;
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drawLine(ctx, meanX, axisY - 60, meanX, axisY + 60, COLORS.cyan, 3);
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drawText(ctx, `Mean: ${mean.toFixed(2)}`, meanX, axisY - 70, 14, COLORS.cyan);
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-
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// Draw median
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const medianX = padding + ((median - min) / range) * width;
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drawLine(ctx, medianX, axisY - 50, medianX, axisY + 50, COLORS.orange, 2);
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drawText(ctx, `Median: ${median.toFixed(2)}`, medianX, axisY - 55, 12, COLORS.orange);
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}
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-
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// Event listeners
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const input = document.getElementById('centralTendencyInput');
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const calcBtn = document.getElementById('calculateCentralBtn');
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const randomBtn = document.getElementById('randomDataBtn');
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-
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if (calcBtn && input) {
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calcBtn.addEventListener('click', () => {
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data = parseInput(input.value);
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draw();
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});
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}
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-
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if (randomBtn && input) {
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randomBtn.addEventListener('click', () => {
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data = Array.from({ length: 10 }, () => Math.floor(Math.random() * 100));
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@@ -465,7 +479,7 @@ function initCentralTendencyViz() {
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draw();
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});
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}
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-
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if (input) {
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input.addEventListener('keypress', (e) => {
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if (e.key === 'Enter') {
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@@ -474,7 +488,7 @@ function initCentralTendencyViz() {
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}
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});
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}
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-
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draw();
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}
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@@ -483,19 +497,19 @@ function initializeAllVisualizations() {
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// Statistics visualizations
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initPopulationSampleViz();
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initCentralTendencyViz();
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-
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// Linear Algebra visualizations
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initVectorCanvas();
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initSpanCanvas();
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initTransformationGrid();
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initEigenvectorCanvas();
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-
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// Calculus visualizations
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initCircleAreaCanvas();
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initDerivativeCanvas();
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initRiemannSumCanvas();
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initTaylorSeriesCanvas();
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-
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// Data Science visualizations
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initSimpleRegressionCanvas();
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initLogisticRegressionCanvas();
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@@ -503,7 +517,7 @@ function initializeAllVisualizations() {
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initPCACanvas();
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initGradientDescentCanvas();
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initLossLandscapeCanvas();
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-
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// Machine Learning visualizations
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initMLLinearRegressionCanvas();
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initMLKMeansCanvas();
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@@ -518,32 +532,32 @@ function initializeAllVisualizations() {
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function initMLLinearRegressionCanvas() {
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const canvas = document.getElementById('canvas-ml-1');
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if (!canvas) return;
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-
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const ctx = canvas.getContext('2d');
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let showLine = false;
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-
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// House price data from worked example
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const data = [
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-
{x: 1000, y: 150},
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{x: 1500, y: 200},
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{x: 2000, y: 250},
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{x: 3000, y: 350}
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];
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-
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function draw() {
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clearCanvas(ctx, canvas);
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-
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const padding = 80;
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const width = canvas.width - 2 * padding;
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const height = canvas.height - 2 * padding;
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-
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const maxX = 3500;
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const maxY = 400;
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-
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// Draw axes
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drawLine(ctx, padding, canvas.height - padding, canvas.width - padding, canvas.height - padding, COLORS.text, 2);
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drawLine(ctx, padding, padding, padding, canvas.height - padding, COLORS.text, 2);
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-
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// Draw grid
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for (let i = 0; i <= 7; i++) {
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const x = padding + (i / 7) * width;
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@@ -551,14 +565,14 @@ function initMLLinearRegressionCanvas() {
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drawLine(ctx, x, canvas.height - padding, x, canvas.height - padding + 5, COLORS.textSecondary, 1);
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drawText(ctx, xVal, x, canvas.height - padding + 20, 10, COLORS.textSecondary);
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}
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-
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for (let i = 0; i <= 8; i++) {
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const y = canvas.height - padding - (i / 8) * height;
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const yVal = (i * 50).toString();
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drawLine(ctx, padding - 5, y, padding, y, COLORS.textSecondary, 1);
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drawText(ctx, yVal, padding - 15, y + 4, 10, COLORS.textSecondary, 'right');
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}
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-
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// Draw labels
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drawText(ctx, 'Size (sq ft)', canvas.width / 2, canvas.height - 10, 12, COLORS.cyan);
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ctx.save();
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@@ -566,7 +580,7 @@ function initMLLinearRegressionCanvas() {
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ctx.rotate(-Math.PI / 2);
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drawText(ctx, 'Price ($1000s)', 0, 0, 12, COLORS.cyan);
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ctx.restore();
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-
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// Draw data points
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data.forEach(point => {
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const px = padding + (point.x / maxX) * width;
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@@ -574,29 +588,29 @@ function initMLLinearRegressionCanvas() {
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drawCircle(ctx, px, py, 8, COLORS.cyan);
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drawText(ctx, `${point.y}k`, px + 15, py - 10, 10, COLORS.cyan, 'left');
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});
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-
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// Draw regression line if enabled
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if (showLine) {
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// From worked example: y = 50 + 0.1x
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const slope = 0.1;
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const intercept = 50;
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-
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const x1 = 0;
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const y1 = intercept;
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const x2 = maxX;
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const y2 = intercept + slope * x2;
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-
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const px1 = padding + (x1 / maxX) * width;
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const py1 = canvas.height - padding - (y1 / maxY) * height;
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const px2 = padding + (x2 / maxX) * width;
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const py2 = canvas.height - padding - (y2 / maxY) * height;
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-
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drawLine(ctx, px1, py1, px2, py2, COLORS.orange, 3);
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-
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// Show equation
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drawText(ctx, 'y = 50 + 0.10x', canvas.width / 2, 30, 16, COLORS.orange);
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drawText(ctx, 'R² = 1.00 (Perfect Fit!)', canvas.width / 2, 50, 14, COLORS.green);
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-
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// Highlight prediction point (2500, 300)
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const predX = 2500;
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const predY = 50 + 0.1 * predX;
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@@ -606,62 +620,62 @@ function initMLLinearRegressionCanvas() {
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drawText(ctx, '2500 sq ft → $300k', ppx - 80, ppy - 15, 12, COLORS.green, 'left');
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}
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}
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-
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const fitBtn = document.getElementById('btn-ml-1-fit');
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const resetBtn = document.getElementById('btn-ml-1-reset');
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-
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if (fitBtn) {
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fitBtn.addEventListener('click', () => {
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showLine = true;
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draw();
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});
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}
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-
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if (resetBtn) {
|
| 621 |
resetBtn.addEventListener('click', () => {
|
| 622 |
showLine = false;
|
| 623 |
draw();
|
| 624 |
});
|
| 625 |
}
|
| 626 |
-
|
| 627 |
draw();
|
| 628 |
}
|
| 629 |
|
| 630 |
function initMLKMeansCanvas() {
|
| 631 |
const canvas = document.getElementById('canvas-ml-15');
|
| 632 |
if (!canvas) return;
|
| 633 |
-
|
| 634 |
const ctx = canvas.getContext('2d');
|
| 635 |
let clustered = false;
|
| 636 |
-
|
| 637 |
// Customer data from worked example
|
| 638 |
const customers = [
|
| 639 |
-
{name: 'A', age: 25, income: 40, cluster: null},
|
| 640 |
-
{name: 'B', age: 30, income: 50, cluster: null},
|
| 641 |
-
{name: 'C', age: 28, income: 45, cluster: null},
|
| 642 |
-
{name: 'D', age: 55, income: 80, cluster: null},
|
| 643 |
-
{name: 'E', age: 60, income: 90, cluster: null},
|
| 644 |
-
{name: 'F', age: 52, income: 75, cluster: null}
|
| 645 |
];
|
| 646 |
-
|
| 647 |
let centroids = [
|
| 648 |
-
{age: 25, income: 40, color: COLORS.cyan},
|
| 649 |
-
{age: 60, income: 90, color: COLORS.orange}
|
| 650 |
];
|
| 651 |
-
|
| 652 |
function assignClusters() {
|
| 653 |
customers.forEach(customer => {
|
| 654 |
// Calculate distance to each centroid
|
| 655 |
const d1 = Math.sqrt(Math.pow(customer.age - centroids[0].age, 2) + Math.pow(customer.income - centroids[0].income, 2));
|
| 656 |
const d2 = Math.sqrt(Math.pow(customer.age - centroids[1].age, 2) + Math.pow(customer.income - centroids[1].income, 2));
|
| 657 |
-
|
| 658 |
customer.cluster = d1 < d2 ? 0 : 1;
|
| 659 |
});
|
| 660 |
-
|
| 661 |
// Update centroids
|
| 662 |
const cluster0 = customers.filter(c => c.cluster === 0);
|
| 663 |
const cluster1 = customers.filter(c => c.cluster === 1);
|
| 664 |
-
|
| 665 |
if (cluster0.length > 0) {
|
| 666 |
centroids[0].age = cluster0.reduce((s, c) => s + c.age, 0) / cluster0.length;
|
| 667 |
centroids[0].income = cluster0.reduce((s, c) => s + c.income, 0) / cluster0.length;
|
|
@@ -671,34 +685,34 @@ function initMLKMeansCanvas() {
|
|
| 671 |
centroids[1].income = cluster1.reduce((s, c) => s + c.income, 0) / cluster1.length;
|
| 672 |
}
|
| 673 |
}
|
| 674 |
-
|
| 675 |
function draw() {
|
| 676 |
clearCanvas(ctx, canvas);
|
| 677 |
-
|
| 678 |
const padding = 80;
|
| 679 |
const width = canvas.width - 2 * padding;
|
| 680 |
const height = canvas.height - 2 * padding;
|
| 681 |
-
|
| 682 |
const minAge = 20, maxAge = 70;
|
| 683 |
const minIncome = 30, maxIncome = 100;
|
| 684 |
-
|
| 685 |
// Draw axes
|
| 686 |
drawLine(ctx, padding, canvas.height - padding, canvas.width - padding, canvas.height - padding, COLORS.text, 2);
|
| 687 |
drawLine(ctx, padding, padding, padding, canvas.height - padding, COLORS.text, 2);
|
| 688 |
-
|
| 689 |
// Draw grid
|
| 690 |
for (let age = 20; age <= 70; age += 10) {
|
| 691 |
const x = padding + ((age - minAge) / (maxAge - minAge)) * width;
|
| 692 |
drawLine(ctx, x, canvas.height - padding, x, canvas.height - padding + 5, COLORS.textSecondary, 1);
|
| 693 |
drawText(ctx, age.toString(), x, canvas.height - padding + 20, 10, COLORS.textSecondary);
|
| 694 |
}
|
| 695 |
-
|
| 696 |
for (let income = 30; income <= 100; income += 10) {
|
| 697 |
const y = canvas.height - padding - ((income - minIncome) / (maxIncome - minIncome)) * height;
|
| 698 |
drawLine(ctx, padding - 5, y, padding, y, COLORS.textSecondary, 1);
|
| 699 |
drawText(ctx, `$${income}k`, padding - 40, y + 4, 10, COLORS.textSecondary, 'right');
|
| 700 |
}
|
| 701 |
-
|
| 702 |
// Draw labels
|
| 703 |
drawText(ctx, 'Age', canvas.width / 2, canvas.height - 10, 12, COLORS.cyan);
|
| 704 |
ctx.save();
|
|
@@ -706,23 +720,23 @@ function initMLKMeansCanvas() {
|
|
| 706 |
ctx.rotate(-Math.PI / 2);
|
| 707 |
drawText(ctx, 'Income ($k)', 0, 0, 12, COLORS.cyan);
|
| 708 |
ctx.restore();
|
| 709 |
-
|
| 710 |
// Draw customers
|
| 711 |
customers.forEach(customer => {
|
| 712 |
const px = padding + ((customer.age - minAge) / (maxAge - minAge)) * width;
|
| 713 |
const py = canvas.height - padding - ((customer.income - minIncome) / (maxIncome - minIncome)) * height;
|
| 714 |
-
|
| 715 |
const color = clustered ? (customer.cluster === 0 ? COLORS.cyan : COLORS.orange) : COLORS.primary;
|
| 716 |
drawCircle(ctx, px, py, 10, color);
|
| 717 |
drawText(ctx, customer.name, px, py - 15, 12, COLORS.text);
|
| 718 |
});
|
| 719 |
-
|
| 720 |
// Draw centroids if clustered
|
| 721 |
if (clustered) {
|
| 722 |
centroids.forEach((centroid, i) => {
|
| 723 |
const cx = padding + ((centroid.age - minAge) / (maxAge - minAge)) * width;
|
| 724 |
const cy = canvas.height - padding - ((centroid.income - minIncome) / (maxIncome - minIncome)) * height;
|
| 725 |
-
|
| 726 |
// Draw X marker for centroid
|
| 727 |
ctx.strokeStyle = centroid.color;
|
| 728 |
ctx.lineWidth = 4;
|
|
@@ -732,19 +746,19 @@ function initMLKMeansCanvas() {
|
|
| 732 |
ctx.moveTo(cx + 12, cy - 12);
|
| 733 |
ctx.lineTo(cx - 12, cy + 12);
|
| 734 |
ctx.stroke();
|
| 735 |
-
|
| 736 |
-
drawText(ctx, `C${i+1} [${centroid.age.toFixed(1)}, ${centroid.income.toFixed(1)}]`,
|
| 737 |
-
|
| 738 |
});
|
| 739 |
-
|
| 740 |
drawText(ctx, 'Cluster 1 (Young, Lower Income)', 150, 30, 12, COLORS.cyan);
|
| 741 |
drawText(ctx, 'Cluster 2 (Mature, Higher Income)', 150, 50, 12, COLORS.orange);
|
| 742 |
}
|
| 743 |
}
|
| 744 |
-
|
| 745 |
const clusterBtn = document.getElementById('btn-ml-15-cluster');
|
| 746 |
const resetBtn = document.getElementById('btn-ml-15-reset');
|
| 747 |
-
|
| 748 |
if (clusterBtn) {
|
| 749 |
clusterBtn.addEventListener('click', () => {
|
| 750 |
clustered = true;
|
|
@@ -752,19 +766,19 @@ function initMLKMeansCanvas() {
|
|
| 752 |
draw();
|
| 753 |
});
|
| 754 |
}
|
| 755 |
-
|
| 756 |
if (resetBtn) {
|
| 757 |
resetBtn.addEventListener('click', () => {
|
| 758 |
clustered = false;
|
| 759 |
customers.forEach(c => c.cluster = null);
|
| 760 |
centroids = [
|
| 761 |
-
{age: 25, income: 40, color: COLORS.cyan},
|
| 762 |
-
{age: 60, income: 90, color: COLORS.orange}
|
| 763 |
];
|
| 764 |
draw();
|
| 765 |
});
|
| 766 |
}
|
| 767 |
-
|
| 768 |
draw();
|
| 769 |
}
|
| 770 |
|
|
@@ -773,21 +787,21 @@ function initMLKMeansCanvas() {
|
|
| 773 |
function initVectorCanvas() {
|
| 774 |
const canvas = document.getElementById('canvas-42');
|
| 775 |
if (!canvas) return;
|
| 776 |
-
|
| 777 |
const ctx = canvas.getContext('2d');
|
| 778 |
let vx = 3, vy = 2;
|
| 779 |
-
|
| 780 |
function draw() {
|
| 781 |
clearCanvas(ctx, canvas);
|
| 782 |
-
|
| 783 |
const centerX = canvas.width / 2;
|
| 784 |
const centerY = canvas.height / 2;
|
| 785 |
const scale = 40;
|
| 786 |
-
|
| 787 |
// Draw axes
|
| 788 |
drawLine(ctx, 0, centerY, canvas.width, centerY, '#555', 1);
|
| 789 |
drawLine(ctx, centerX, 0, centerX, canvas.height, '#555', 1);
|
| 790 |
-
|
| 791 |
// Draw grid
|
| 792 |
ctx.strokeStyle = '#333';
|
| 793 |
ctx.lineWidth = 0.5;
|
|
@@ -797,14 +811,14 @@ function initVectorCanvas() {
|
|
| 797 |
drawLine(ctx, 0, centerY + i * scale, canvas.width, centerY + i * scale, '#333', 0.5);
|
| 798 |
}
|
| 799 |
}
|
| 800 |
-
|
| 801 |
// Draw vector
|
| 802 |
const endX = centerX + vx * scale;
|
| 803 |
const endY = centerY - vy * scale;
|
| 804 |
-
|
| 805 |
// Arrow shaft
|
| 806 |
drawLine(ctx, centerX, centerY, endX, endY, COLORS.cyan, 3);
|
| 807 |
-
|
| 808 |
// Arrow head
|
| 809 |
const angle = Math.atan2(vy, vx);
|
| 810 |
const arrowSize = 15;
|
|
@@ -815,20 +829,20 @@ function initVectorCanvas() {
|
|
| 815 |
ctx.closePath();
|
| 816 |
ctx.fillStyle = COLORS.cyan;
|
| 817 |
ctx.fill();
|
| 818 |
-
|
| 819 |
// Draw vector label
|
| 820 |
drawText(ctx, `v = [${vx.toFixed(1)}, ${vy.toFixed(1)}]`, endX + 20, endY - 10, 14, COLORS.cyan, 'left');
|
| 821 |
-
|
| 822 |
// Draw magnitude
|
| 823 |
const magnitude = Math.sqrt(vx * vx + vy * vy);
|
| 824 |
drawText(ctx, `|v| = ${magnitude.toFixed(2)}`, canvas.width / 2, 30, 14, COLORS.text);
|
| 825 |
}
|
| 826 |
-
|
| 827 |
const sliderX = document.getElementById('slider42x');
|
| 828 |
const sliderY = document.getElementById('slider42y');
|
| 829 |
const labelX = document.getElementById('vec42x');
|
| 830 |
const labelY = document.getElementById('vec42y');
|
| 831 |
-
|
| 832 |
if (sliderX) {
|
| 833 |
sliderX.addEventListener('input', (e) => {
|
| 834 |
vx = parseFloat(e.target.value);
|
|
@@ -836,7 +850,7 @@ function initVectorCanvas() {
|
|
| 836 |
draw();
|
| 837 |
});
|
| 838 |
}
|
| 839 |
-
|
| 840 |
if (sliderY) {
|
| 841 |
sliderY.addEventListener('input', (e) => {
|
| 842 |
vy = parseFloat(e.target.value);
|
|
@@ -844,7 +858,7 @@ function initVectorCanvas() {
|
|
| 844 |
draw();
|
| 845 |
});
|
| 846 |
}
|
| 847 |
-
|
| 848 |
const resetBtn = document.getElementById('btn42reset');
|
| 849 |
if (resetBtn) {
|
| 850 |
resetBtn.addEventListener('click', () => {
|
|
@@ -856,37 +870,37 @@ function initVectorCanvas() {
|
|
| 856 |
draw();
|
| 857 |
});
|
| 858 |
}
|
| 859 |
-
|
| 860 |
draw();
|
| 861 |
}
|
| 862 |
|
| 863 |
function initSpanCanvas() {
|
| 864 |
const canvas = document.getElementById('canvas-43');
|
| 865 |
if (!canvas) return;
|
| 866 |
-
|
| 867 |
const ctx = canvas.getContext('2d');
|
| 868 |
let animating = false;
|
| 869 |
let t = 0;
|
| 870 |
-
|
| 871 |
function draw() {
|
| 872 |
clearCanvas(ctx, canvas);
|
| 873 |
-
|
| 874 |
const centerX = canvas.width / 2;
|
| 875 |
const centerY = canvas.height / 2;
|
| 876 |
const scale = 50;
|
| 877 |
-
|
| 878 |
// Draw axes
|
| 879 |
drawLine(ctx, 0, centerY, canvas.width, centerY, '#555', 1);
|
| 880 |
drawLine(ctx, centerX, 0, centerX, canvas.height, '#555', 1);
|
| 881 |
-
|
| 882 |
// Basis vectors
|
| 883 |
const v1 = { x: 2, y: 1 };
|
| 884 |
const v2 = { x: -1, y: 1.5 };
|
| 885 |
-
|
| 886 |
// Draw basis vectors
|
| 887 |
drawLine(ctx, centerX, centerY, centerX + v1.x * scale, centerY - v1.y * scale, COLORS.cyan, 3);
|
| 888 |
drawLine(ctx, centerX, centerY, centerX + v2.x * scale, centerY - v2.y * scale, COLORS.orange, 3);
|
| 889 |
-
|
| 890 |
if (animating) {
|
| 891 |
// Draw span (multiple linear combinations)
|
| 892 |
ctx.globalAlpha = 0.3;
|
|
@@ -899,78 +913,78 @@ function initSpanCanvas() {
|
|
| 899 |
}
|
| 900 |
ctx.globalAlpha = 1;
|
| 901 |
}
|
| 902 |
-
|
| 903 |
drawText(ctx, 'v₁', centerX + v1.x * scale + 20, centerY - v1.y * scale, 16, COLORS.cyan);
|
| 904 |
drawText(ctx, 'v₂', centerX + v2.x * scale - 20, centerY - v2.y * scale, 16, COLORS.orange);
|
| 905 |
}
|
| 906 |
-
|
| 907 |
const animateBtn = document.getElementById('btn43animate');
|
| 908 |
const resetBtn = document.getElementById('btn43reset');
|
| 909 |
-
|
| 910 |
if (animateBtn) {
|
| 911 |
animateBtn.addEventListener('click', () => {
|
| 912 |
animating = true;
|
| 913 |
draw();
|
| 914 |
});
|
| 915 |
}
|
| 916 |
-
|
| 917 |
if (resetBtn) {
|
| 918 |
resetBtn.addEventListener('click', () => {
|
| 919 |
animating = false;
|
| 920 |
draw();
|
| 921 |
});
|
| 922 |
}
|
| 923 |
-
|
| 924 |
draw();
|
| 925 |
}
|
| 926 |
|
| 927 |
function initTransformationGrid() {
|
| 928 |
const canvas = document.getElementById('canvas-44');
|
| 929 |
if (!canvas) return;
|
| 930 |
-
|
| 931 |
const ctx = canvas.getContext('2d');
|
| 932 |
let matrix = [[1, 0], [0, 1]]; // Identity
|
| 933 |
-
|
| 934 |
function drawGrid(transform = false) {
|
| 935 |
clearCanvas(ctx, canvas);
|
| 936 |
-
|
| 937 |
const centerX = canvas.width / 2;
|
| 938 |
const centerY = canvas.height / 2;
|
| 939 |
const scale = 40;
|
| 940 |
const gridSize = 5;
|
| 941 |
-
|
| 942 |
ctx.strokeStyle = transform ? COLORS.cyan : '#555';
|
| 943 |
ctx.lineWidth = 1;
|
| 944 |
-
|
| 945 |
// Draw grid lines
|
| 946 |
for (let i = -gridSize; i <= gridSize; i++) {
|
| 947 |
for (let j = -gridSize; j <= gridSize; j++) {
|
| 948 |
let x1 = i, y1 = j;
|
| 949 |
let x2 = i + 1, y2 = j;
|
| 950 |
let x3 = i, y3 = j + 1;
|
| 951 |
-
|
| 952 |
if (transform) {
|
| 953 |
[x1, y1] = [matrix[0][0] * i + matrix[0][1] * j, matrix[1][0] * i + matrix[1][1] * j];
|
| 954 |
[x2, y2] = [matrix[0][0] * (i + 1) + matrix[0][1] * j, matrix[1][0] * (i + 1) + matrix[1][1] * j];
|
| 955 |
[x3, y3] = [matrix[0][0] * i + matrix[0][1] * (j + 1), matrix[1][0] * i + matrix[1][1] * (j + 1)];
|
| 956 |
}
|
| 957 |
-
|
| 958 |
drawLine(ctx, centerX + x1 * scale, centerY - y1 * scale, centerX + x2 * scale, centerY - y2 * scale, ctx.strokeStyle, 1);
|
| 959 |
drawLine(ctx, centerX + x1 * scale, centerY - y1 * scale, centerX + x3 * scale, centerY - y3 * scale, ctx.strokeStyle, 1);
|
| 960 |
}
|
| 961 |
}
|
| 962 |
-
|
| 963 |
// Draw i-hat and j-hat
|
| 964 |
const iHat = transform ? [matrix[0][0], matrix[1][0]] : [1, 0];
|
| 965 |
const jHat = transform ? [matrix[0][1], matrix[1][1]] : [0, 1];
|
| 966 |
-
|
| 967 |
drawLine(ctx, centerX, centerY, centerX + iHat[0] * scale, centerY - iHat[1] * scale, COLORS.orange, 3);
|
| 968 |
drawLine(ctx, centerX, centerY, centerX + jHat[0] * scale, centerY - jHat[1] * scale, COLORS.green, 3);
|
| 969 |
}
|
| 970 |
-
|
| 971 |
const select = document.getElementById('select44');
|
| 972 |
const applyBtn = document.getElementById('btn44apply');
|
| 973 |
-
|
| 974 |
if (applyBtn && select) {
|
| 975 |
applyBtn.addEventListener('click', () => {
|
| 976 |
const type = select.value;
|
|
@@ -990,34 +1004,34 @@ function initTransformationGrid() {
|
|
| 990 |
drawGrid(true);
|
| 991 |
});
|
| 992 |
}
|
| 993 |
-
|
| 994 |
drawGrid(false);
|
| 995 |
}
|
| 996 |
|
| 997 |
function initEigenvectorCanvas() {
|
| 998 |
const canvas = document.getElementById('canvas-54');
|
| 999 |
if (!canvas) return;
|
| 1000 |
-
|
| 1001 |
const ctx = canvas.getContext('2d');
|
| 1002 |
let transformed = false;
|
| 1003 |
-
|
| 1004 |
function draw() {
|
| 1005 |
clearCanvas(ctx, canvas);
|
| 1006 |
-
|
| 1007 |
const centerX = canvas.width / 2;
|
| 1008 |
const centerY = canvas.height / 2;
|
| 1009 |
const scale = 50;
|
| 1010 |
-
|
| 1011 |
// Draw axes
|
| 1012 |
drawLine(ctx, 0, centerY, canvas.width, centerY, '#555', 1);
|
| 1013 |
drawLine(ctx, centerX, 0, centerX, canvas.height, '#555', 1);
|
| 1014 |
-
|
| 1015 |
// Matrix [[2, 0], [0, 1]] - scaling transformation
|
| 1016 |
// Eigenvectors: [1, 0] with eigenvalue 2, [0, 1] with eigenvalue 1
|
| 1017 |
-
|
| 1018 |
const e1Scale = transformed ? 2 : 1;
|
| 1019 |
const e2Scale = 1;
|
| 1020 |
-
|
| 1021 |
// Draw regular vectors (affected)
|
| 1022 |
const regularVecs = [[2, 2], [1, 2], [-2, 1]];
|
| 1023 |
regularVecs.forEach(([x, y]) => {
|
|
@@ -1025,32 +1039,32 @@ function initEigenvectorCanvas() {
|
|
| 1025 |
const endY = centerY - y * scale;
|
| 1026 |
drawLine(ctx, centerX, centerY, endX, endY, '#666', 2);
|
| 1027 |
});
|
| 1028 |
-
|
| 1029 |
// Draw eigenvectors (special - stay on their line)
|
| 1030 |
drawLine(ctx, centerX, centerY, centerX + e1Scale * 2 * scale, centerY, COLORS.cyan, 4);
|
| 1031 |
drawLine(ctx, centerX, centerY, centerX, centerY - 2 * scale, COLORS.orange, 4);
|
| 1032 |
-
|
| 1033 |
drawText(ctx, 'Eigenvector 1 (λ=2)', centerX + e1Scale * 2 * scale + 10, centerY - 10, 12, COLORS.cyan, 'left');
|
| 1034 |
drawText(ctx, 'Eigenvector 2 (λ=1)', centerX + 10, centerY - 2 * scale - 10, 12, COLORS.orange, 'left');
|
| 1035 |
}
|
| 1036 |
-
|
| 1037 |
const transformBtn = document.getElementById('btn54transform');
|
| 1038 |
const resetBtn = document.getElementById('btn54reset');
|
| 1039 |
-
|
| 1040 |
if (transformBtn) {
|
| 1041 |
transformBtn.addEventListener('click', () => {
|
| 1042 |
transformed = true;
|
| 1043 |
draw();
|
| 1044 |
});
|
| 1045 |
}
|
| 1046 |
-
|
| 1047 |
if (resetBtn) {
|
| 1048 |
resetBtn.addEventListener('click', () => {
|
| 1049 |
transformed = false;
|
| 1050 |
draw();
|
| 1051 |
});
|
| 1052 |
}
|
| 1053 |
-
|
| 1054 |
draw();
|
| 1055 |
}
|
| 1056 |
|
|
@@ -1059,18 +1073,18 @@ function initEigenvectorCanvas() {
|
|
| 1059 |
function initCircleAreaCanvas() {
|
| 1060 |
const canvas = document.getElementById('canvas-58');
|
| 1061 |
if (!canvas) return;
|
| 1062 |
-
|
| 1063 |
const ctx = canvas.getContext('2d');
|
| 1064 |
let unwrapping = false;
|
| 1065 |
let progress = 0;
|
| 1066 |
-
|
| 1067 |
function draw() {
|
| 1068 |
clearCanvas(ctx, canvas);
|
| 1069 |
-
|
| 1070 |
const centerX = canvas.width / 4;
|
| 1071 |
const centerY = canvas.height / 2;
|
| 1072 |
const radius = 100;
|
| 1073 |
-
|
| 1074 |
if (!unwrapping) {
|
| 1075 |
// Draw circle
|
| 1076 |
drawCircle(ctx, centerX, centerY, radius, COLORS.cyan, false);
|
|
@@ -1084,22 +1098,22 @@ function initCircleAreaCanvas() {
|
|
| 1084 |
const rectY = centerY - r;
|
| 1085 |
const rectHeight = 2 * r;
|
| 1086 |
const dr = radius / rings;
|
| 1087 |
-
|
| 1088 |
ctx.fillStyle = COLORS.cyan;
|
| 1089 |
ctx.globalAlpha = 0.6;
|
| 1090 |
ctx.fillRect(rectX, rectY, 2, rectHeight);
|
| 1091 |
}
|
| 1092 |
ctx.globalAlpha = 1;
|
| 1093 |
-
|
| 1094 |
if (progress >= 0.99) {
|
| 1095 |
drawText(ctx, 'Integrated! Area = πr²', canvas.width * 0.7, centerY + 50, 14, COLORS.green);
|
| 1096 |
}
|
| 1097 |
}
|
| 1098 |
}
|
| 1099 |
-
|
| 1100 |
const animateBtn = document.getElementById('btn58animate');
|
| 1101 |
const resetBtn = document.getElementById('btn58reset');
|
| 1102 |
-
|
| 1103 |
if (animateBtn) {
|
| 1104 |
animateBtn.addEventListener('click', () => {
|
| 1105 |
unwrapping = true;
|
|
@@ -1113,7 +1127,7 @@ function initCircleAreaCanvas() {
|
|
| 1113 |
}, 50);
|
| 1114 |
});
|
| 1115 |
}
|
| 1116 |
-
|
| 1117 |
if (resetBtn) {
|
| 1118 |
resetBtn.addEventListener('click', () => {
|
| 1119 |
unwrapping = false;
|
|
@@ -1121,32 +1135,32 @@ function initCircleAreaCanvas() {
|
|
| 1121 |
draw();
|
| 1122 |
});
|
| 1123 |
}
|
| 1124 |
-
|
| 1125 |
draw();
|
| 1126 |
}
|
| 1127 |
|
| 1128 |
function initDerivativeCanvas() {
|
| 1129 |
const canvas = document.getElementById('canvas-59');
|
| 1130 |
if (!canvas) return;
|
| 1131 |
-
|
| 1132 |
const ctx = canvas.getContext('2d');
|
| 1133 |
let dx = 1.0;
|
| 1134 |
-
|
| 1135 |
function f(x) {
|
| 1136 |
return 0.02 * x * x;
|
| 1137 |
}
|
| 1138 |
-
|
| 1139 |
function draw() {
|
| 1140 |
clearCanvas(ctx, canvas);
|
| 1141 |
-
|
| 1142 |
const scale = 50;
|
| 1143 |
const centerX = canvas.width / 2;
|
| 1144 |
const centerY = canvas.height * 0.8;
|
| 1145 |
-
|
| 1146 |
// Draw axes
|
| 1147 |
drawLine(ctx, 50, centerY, canvas.width - 50, centerY, '#555', 1);
|
| 1148 |
drawLine(ctx, centerX, 50, centerX, canvas.height - 50, '#555', 1);
|
| 1149 |
-
|
| 1150 |
// Draw function
|
| 1151 |
ctx.beginPath();
|
| 1152 |
for (let x = -canvas.width / 2; x < canvas.width / 2; x += 2) {
|
|
@@ -1161,25 +1175,25 @@ function initDerivativeCanvas() {
|
|
| 1161 |
ctx.strokeStyle = COLORS.cyan;
|
| 1162 |
ctx.lineWidth = 2;
|
| 1163 |
ctx.stroke();
|
| 1164 |
-
|
| 1165 |
// Draw secant line
|
| 1166 |
const x0 = 0;
|
| 1167 |
const x1 = dx * scale;
|
| 1168 |
const y0 = centerY - f(x0) * scale;
|
| 1169 |
const y1 = centerY - f(x1) * scale;
|
| 1170 |
-
|
| 1171 |
drawLine(ctx, centerX + x0 - 50, y0 - (y1 - y0) / x1 * 50, centerX + x1 + 50, y1 + (y1 - y0) / x1 * 50, COLORS.orange, 2);
|
| 1172 |
drawCircle(ctx, centerX + x0, y0, 5, COLORS.green);
|
| 1173 |
drawCircle(ctx, centerX + x1, y1, 5, COLORS.green);
|
| 1174 |
-
|
| 1175 |
const slope = (f(x1 / scale) - f(0)) / (x1 / scale);
|
| 1176 |
drawText(ctx, `Slope = ${slope.toFixed(3)}`, canvas.width / 2, 40, 14, COLORS.orange);
|
| 1177 |
drawText(ctx, `As Δx → 0, slope → derivative`, canvas.width / 2, 60, 12, COLORS.text);
|
| 1178 |
}
|
| 1179 |
-
|
| 1180 |
const slider = document.getElementById('slider59dx');
|
| 1181 |
const label = document.getElementById('label59dx');
|
| 1182 |
-
|
| 1183 |
if (slider) {
|
| 1184 |
slider.addEventListener('input', (e) => {
|
| 1185 |
dx = parseFloat(e.target.value);
|
|
@@ -1187,32 +1201,32 @@ function initDerivativeCanvas() {
|
|
| 1187 |
draw();
|
| 1188 |
});
|
| 1189 |
}
|
| 1190 |
-
|
| 1191 |
draw();
|
| 1192 |
}
|
| 1193 |
|
| 1194 |
function initRiemannSumCanvas() {
|
| 1195 |
const canvas = document.getElementById('canvas-64');
|
| 1196 |
if (!canvas) return;
|
| 1197 |
-
|
| 1198 |
const ctx = canvas.getContext('2d');
|
| 1199 |
let n = 8;
|
| 1200 |
-
|
| 1201 |
function f(x) {
|
| 1202 |
return 50 + 50 * Math.sin(x / 30);
|
| 1203 |
}
|
| 1204 |
-
|
| 1205 |
function draw() {
|
| 1206 |
clearCanvas(ctx, canvas);
|
| 1207 |
-
|
| 1208 |
const padding = 50;
|
| 1209 |
const width = canvas.width - 2 * padding;
|
| 1210 |
const height = canvas.height - 2 * padding;
|
| 1211 |
-
|
| 1212 |
// Draw axes
|
| 1213 |
drawLine(ctx, padding, height + padding, canvas.width - padding, height + padding, '#555', 2);
|
| 1214 |
drawLine(ctx, padding, padding, padding, height + padding, '#555', 2);
|
| 1215 |
-
|
| 1216 |
// Draw function
|
| 1217 |
ctx.beginPath();
|
| 1218 |
for (let x = 0; x <= width; x += 2) {
|
|
@@ -1227,16 +1241,16 @@ function initRiemannSumCanvas() {
|
|
| 1227 |
ctx.strokeStyle = COLORS.cyan;
|
| 1228 |
ctx.lineWidth = 3;
|
| 1229 |
ctx.stroke();
|
| 1230 |
-
|
| 1231 |
// Draw rectangles
|
| 1232 |
const rectWidth = width / n;
|
| 1233 |
let totalArea = 0;
|
| 1234 |
-
|
| 1235 |
for (let i = 0; i < n; i++) {
|
| 1236 |
const x = i * rectWidth;
|
| 1237 |
const rectHeight = f(x);
|
| 1238 |
totalArea += rectWidth * rectHeight;
|
| 1239 |
-
|
| 1240 |
ctx.fillStyle = COLORS.orange;
|
| 1241 |
ctx.globalAlpha = 0.5;
|
| 1242 |
ctx.fillRect(padding + x, height + padding - rectHeight, rectWidth, rectHeight);
|
|
@@ -1244,14 +1258,14 @@ function initRiemannSumCanvas() {
|
|
| 1244 |
ctx.globalAlpha = 1;
|
| 1245 |
ctx.strokeRect(padding + x, height + padding - rectHeight, rectWidth, rectHeight);
|
| 1246 |
}
|
| 1247 |
-
|
| 1248 |
drawText(ctx, `Rectangles: ${n}`, canvas.width / 2, 30, 14, COLORS.text);
|
| 1249 |
drawText(ctx, `Approximate Area: ${(totalArea / 100).toFixed(2)}`, canvas.width / 2, 50, 12, COLORS.orange);
|
| 1250 |
}
|
| 1251 |
-
|
| 1252 |
const slider = document.getElementById('slider64n');
|
| 1253 |
const label = document.getElementById('label64n');
|
| 1254 |
-
|
| 1255 |
if (slider) {
|
| 1256 |
slider.addEventListener('input', (e) => {
|
| 1257 |
n = parseInt(e.target.value);
|
|
@@ -1259,29 +1273,29 @@ function initRiemannSumCanvas() {
|
|
| 1259 |
draw();
|
| 1260 |
});
|
| 1261 |
}
|
| 1262 |
-
|
| 1263 |
draw();
|
| 1264 |
}
|
| 1265 |
|
| 1266 |
function initTaylorSeriesCanvas() {
|
| 1267 |
const canvas = document.getElementById('canvas-68');
|
| 1268 |
if (!canvas) return;
|
| 1269 |
-
|
| 1270 |
const ctx = canvas.getContext('2d');
|
| 1271 |
let degree = 1;
|
| 1272 |
let func = 'sin';
|
| 1273 |
-
|
| 1274 |
function draw() {
|
| 1275 |
clearCanvas(ctx, canvas);
|
| 1276 |
-
|
| 1277 |
const scale = 50;
|
| 1278 |
const centerX = canvas.width / 2;
|
| 1279 |
const centerY = canvas.height / 2;
|
| 1280 |
-
|
| 1281 |
// Draw axes
|
| 1282 |
drawLine(ctx, 50, centerY, canvas.width - 50, centerY, '#555', 1);
|
| 1283 |
drawLine(ctx, centerX, 50, centerX, canvas.height - 50, '#555', 1);
|
| 1284 |
-
|
| 1285 |
// Draw actual function
|
| 1286 |
ctx.beginPath();
|
| 1287 |
for (let x = -canvas.width / 2; x < canvas.width / 2; x += 2) {
|
|
@@ -1290,7 +1304,7 @@ function initTaylorSeriesCanvas() {
|
|
| 1290 |
if (func === 'sin') y = Math.sin(t);
|
| 1291 |
else if (func === 'cos') y = Math.cos(t);
|
| 1292 |
else y = Math.exp(t);
|
| 1293 |
-
|
| 1294 |
const px = centerX + x;
|
| 1295 |
const py = centerY - y * scale;
|
| 1296 |
if (x === -canvas.width / 2) {
|
|
@@ -1302,13 +1316,13 @@ function initTaylorSeriesCanvas() {
|
|
| 1302 |
ctx.strokeStyle = COLORS.cyan;
|
| 1303 |
ctx.lineWidth = 2;
|
| 1304 |
ctx.stroke();
|
| 1305 |
-
|
| 1306 |
// Draw Taylor approximation
|
| 1307 |
ctx.beginPath();
|
| 1308 |
for (let x = -canvas.width / 2; x < canvas.width / 2; x += 2) {
|
| 1309 |
const t = x / scale;
|
| 1310 |
let y = 0;
|
| 1311 |
-
|
| 1312 |
if (func === 'sin') {
|
| 1313 |
for (let n = 0; n <= degree; n++) {
|
| 1314 |
const term = Math.pow(-1, n) * Math.pow(t, 2 * n + 1) / factorial(2 * n + 1);
|
|
@@ -1324,7 +1338,7 @@ function initTaylorSeriesCanvas() {
|
|
| 1324 |
y += Math.pow(t, n) / factorial(n);
|
| 1325 |
}
|
| 1326 |
}
|
| 1327 |
-
|
| 1328 |
const px = centerX + x;
|
| 1329 |
const py = centerY - y * scale;
|
| 1330 |
if (x === -canvas.width / 2) {
|
|
@@ -1336,20 +1350,20 @@ function initTaylorSeriesCanvas() {
|
|
| 1336 |
ctx.strokeStyle = COLORS.orange;
|
| 1337 |
ctx.lineWidth = 3;
|
| 1338 |
ctx.stroke();
|
| 1339 |
-
|
| 1340 |
drawText(ctx, `Function: ${func}(x)`, canvas.width / 2, 30, 14, COLORS.cyan);
|
| 1341 |
drawText(ctx, `Taylor degree: ${degree}`, canvas.width / 2, 50, 14, COLORS.orange);
|
| 1342 |
}
|
| 1343 |
-
|
| 1344 |
function factorial(n) {
|
| 1345 |
if (n <= 1) return 1;
|
| 1346 |
return n * factorial(n - 1);
|
| 1347 |
}
|
| 1348 |
-
|
| 1349 |
const slider = document.getElementById('slider68degree');
|
| 1350 |
const label = document.getElementById('label68degree');
|
| 1351 |
const select = document.getElementById('select68func');
|
| 1352 |
-
|
| 1353 |
if (slider) {
|
| 1354 |
slider.addEventListener('input', (e) => {
|
| 1355 |
degree = parseInt(e.target.value);
|
|
@@ -1357,14 +1371,14 @@ function initTaylorSeriesCanvas() {
|
|
| 1357 |
draw();
|
| 1358 |
});
|
| 1359 |
}
|
| 1360 |
-
|
| 1361 |
if (select) {
|
| 1362 |
select.addEventListener('change', (e) => {
|
| 1363 |
func = e.target.value;
|
| 1364 |
draw();
|
| 1365 |
});
|
| 1366 |
}
|
| 1367 |
-
|
| 1368 |
draw();
|
| 1369 |
}
|
| 1370 |
|
|
@@ -1376,7 +1390,7 @@ function initInteractiveElements() {
|
|
| 1376 |
|
| 1377 |
// ===== HELPER FUNCTIONS =====
|
| 1378 |
function generateRandomData(count, min, max) {
|
| 1379 |
-
return Array.from({ length: count }, () =>
|
| 1380 |
Math.floor(Math.random() * (max - min + 1)) + min
|
| 1381 |
);
|
| 1382 |
}
|
|
@@ -1390,12 +1404,12 @@ function startAnimation(canvasId, animationFunction) {
|
|
| 1390 |
if (animationFrames[canvasId]) {
|
| 1391 |
cancelAnimationFrame(animationFrames[canvasId]);
|
| 1392 |
}
|
| 1393 |
-
|
| 1394 |
function animate() {
|
| 1395 |
animationFunction();
|
| 1396 |
animationFrames[canvasId] = requestAnimationFrame(animate);
|
| 1397 |
}
|
| 1398 |
-
|
| 1399 |
animate();
|
| 1400 |
}
|
| 1401 |
|
|
@@ -1413,160 +1427,160 @@ function stopAnimation(canvasId) {
|
|
| 1413 |
function initMLSVMCanvas() {
|
| 1414 |
const canvas = document.getElementById('canvas-ml-9');
|
| 1415 |
if (!canvas) return;
|
| 1416 |
-
|
| 1417 |
const ctx = canvas.getContext('2d');
|
| 1418 |
-
|
| 1419 |
// Generate two-class data
|
| 1420 |
-
const class1 = Array.from({length: 20}, () => ({
|
| 1421 |
x: Math.random() * 100 + 50,
|
| 1422 |
y: Math.random() * 100 + 50
|
| 1423 |
}));
|
| 1424 |
-
const class2 = Array.from({length: 20}, () => ({
|
| 1425 |
x: Math.random() * 100 + 200,
|
| 1426 |
y: Math.random() * 100 + 200
|
| 1427 |
}));
|
| 1428 |
-
|
| 1429 |
function draw() {
|
| 1430 |
clearCanvas(ctx, canvas);
|
| 1431 |
-
|
| 1432 |
const padding = 50;
|
| 1433 |
-
|
| 1434 |
// Draw decision boundary (simplified)
|
| 1435 |
drawLine(ctx, padding, canvas.height - padding, canvas.width - padding, padding, COLORS.orange, 3);
|
| 1436 |
-
drawText(ctx, 'Decision Boundary', canvas.width/2, 30, 14, COLORS.orange);
|
| 1437 |
-
|
| 1438 |
// Draw margin lines
|
| 1439 |
drawLine(ctx, padding, canvas.height - padding - 30, canvas.width - padding, padding - 30, COLORS.green, 1);
|
| 1440 |
drawLine(ctx, padding, canvas.height - padding + 30, canvas.width - padding, padding + 30, COLORS.green, 1);
|
| 1441 |
-
drawText(ctx, 'Maximum Margin', canvas.width/2, 50, 12, COLORS.green);
|
| 1442 |
-
|
| 1443 |
// Draw data points
|
| 1444 |
class1.forEach(p => drawCircle(ctx, p.x, p.y, 6, COLORS.cyan));
|
| 1445 |
class2.forEach(p => drawCircle(ctx, p.x, p.y, 6, COLORS.primary));
|
| 1446 |
}
|
| 1447 |
-
|
| 1448 |
draw();
|
| 1449 |
}
|
| 1450 |
|
| 1451 |
function initMLRandomForestCanvas() {
|
| 1452 |
const canvas = document.getElementById('canvas-ml-12');
|
| 1453 |
if (!canvas) return;
|
| 1454 |
-
|
| 1455 |
const ctx = canvas.getContext('2d');
|
| 1456 |
-
|
| 1457 |
function draw() {
|
| 1458 |
clearCanvas(ctx, canvas);
|
| 1459 |
-
|
| 1460 |
-
drawText(ctx, 'Random Forest: Ensemble of Decision Trees', canvas.width/2, 50, 16, COLORS.cyan);
|
| 1461 |
-
|
| 1462 |
// Draw multiple trees
|
| 1463 |
const treeCount = 5;
|
| 1464 |
const treeWidth = (canvas.width - 100) / treeCount;
|
| 1465 |
-
|
| 1466 |
for (let i = 0; i < treeCount; i++) {
|
| 1467 |
-
const x = 50 + i * treeWidth + treeWidth/2;
|
| 1468 |
const y = 100;
|
| 1469 |
-
|
| 1470 |
// Draw simple tree structure
|
| 1471 |
drawLine(ctx, x, y, x - 30, y + 60, COLORS.green, 2);
|
| 1472 |
drawLine(ctx, x, y, x + 30, y + 60, COLORS.green, 2);
|
| 1473 |
drawCircle(ctx, x, y, 8, COLORS.cyan);
|
| 1474 |
drawCircle(ctx, x - 30, y + 60, 6, COLORS.orange);
|
| 1475 |
drawCircle(ctx, x + 30, y + 60, 6, COLORS.orange);
|
| 1476 |
-
|
| 1477 |
-
drawText(ctx, `Tree ${i+1}`, x, y + 100, 12, COLORS.text);
|
| 1478 |
}
|
| 1479 |
-
|
| 1480 |
// Draw voting arrow
|
| 1481 |
-
drawLine(ctx, canvas.width/2, 200, canvas.width/2, 280, COLORS.orange, 3);
|
| 1482 |
-
drawText(ctx, '↓ Majority Vote', canvas.width/2 + 10, 250, 14, COLORS.orange, 'left');
|
| 1483 |
-
|
| 1484 |
-
drawRect(ctx, canvas.width/2 - 80, 280, 160, 40, COLORS.green);
|
| 1485 |
-
drawText(ctx, 'Final Prediction', canvas.width/2, 305, 14, '#000');
|
| 1486 |
}
|
| 1487 |
-
|
| 1488 |
draw();
|
| 1489 |
}
|
| 1490 |
|
| 1491 |
function initMLGradientBoostingCanvas() {
|
| 1492 |
const canvas = document.getElementById('canvas-ml-13');
|
| 1493 |
if (!canvas) return;
|
| 1494 |
-
|
| 1495 |
const ctx = canvas.getContext('2d');
|
| 1496 |
-
|
| 1497 |
function draw() {
|
| 1498 |
clearCanvas(ctx, canvas);
|
| 1499 |
-
|
| 1500 |
-
drawText(ctx, 'Gradient Boosting: Sequential Error Correction', canvas.width/2, 40, 16, COLORS.cyan);
|
| 1501 |
-
|
| 1502 |
const stages = 4;
|
| 1503 |
const stageWidth = (canvas.width - 100) / stages;
|
| 1504 |
-
|
| 1505 |
for (let i = 0; i < stages; i++) {
|
| 1506 |
const x = 50 + i * stageWidth;
|
| 1507 |
-
const y = canvas.height/2;
|
| 1508 |
-
|
| 1509 |
// Draw tree
|
| 1510 |
drawRect(ctx, x, y - 40, stageWidth - 40, 80, i === 0 ? COLORS.cyan : COLORS.orange, false);
|
| 1511 |
-
drawText(ctx, `Tree ${i+1}`, x + (stageWidth-40)/2, y, 12, COLORS.text);
|
| 1512 |
-
drawText(ctx, i === 0 ? 'Base' : 'Fix Errors', x + (stageWidth-40)/2, y + 20, 10, COLORS.textSecondary);
|
| 1513 |
-
|
| 1514 |
// Draw arrow
|
| 1515 |
if (i < stages - 1) {
|
| 1516 |
drawLine(ctx, x + stageWidth - 40, y, x + stageWidth, y, COLORS.green, 2);
|
| 1517 |
drawText(ctx, '+', x + stageWidth - 20, y - 10, 16, COLORS.green);
|
| 1518 |
}
|
| 1519 |
}
|
| 1520 |
-
|
| 1521 |
-
drawText(ctx, 'Each tree learns from previous mistakes', canvas.width/2, canvas.height - 30, 12, COLORS.text);
|
| 1522 |
}
|
| 1523 |
-
|
| 1524 |
draw();
|
| 1525 |
}
|
| 1526 |
|
| 1527 |
function initMLNeuralNetworkCanvas() {
|
| 1528 |
const canvas = document.getElementById('canvas-ml-14');
|
| 1529 |
if (!canvas) return;
|
| 1530 |
-
|
| 1531 |
const ctx = canvas.getContext('2d');
|
| 1532 |
-
|
| 1533 |
function draw() {
|
| 1534 |
clearCanvas(ctx, canvas);
|
| 1535 |
-
|
| 1536 |
-
drawText(ctx, 'Neural Network Architecture', canvas.width/2, 30, 16, COLORS.cyan);
|
| 1537 |
-
|
| 1538 |
const layers = [3, 5, 4, 2]; // neurons per layer
|
| 1539 |
const layerSpacing = (canvas.width - 100) / (layers.length - 1);
|
| 1540 |
-
|
| 1541 |
// Draw connections
|
| 1542 |
ctx.globalAlpha = 0.3;
|
| 1543 |
for (let l = 0; l < layers.length - 1; l++) {
|
| 1544 |
const x1 = 50 + l * layerSpacing;
|
| 1545 |
const x2 = 50 + (l + 1) * layerSpacing;
|
| 1546 |
-
|
| 1547 |
for (let i = 0; i < layers[l]; i++) {
|
| 1548 |
-
const y1 = canvas.height/2 - (layers[l] - 1) * 15 + i * 30;
|
| 1549 |
for (let j = 0; j < layers[l + 1]; j++) {
|
| 1550 |
-
const y2 = canvas.height/2 - (layers[l + 1] - 1) * 15 + j * 30;
|
| 1551 |
drawLine(ctx, x1, y1, x2, y2, COLORS.textSecondary, 1);
|
| 1552 |
}
|
| 1553 |
}
|
| 1554 |
}
|
| 1555 |
ctx.globalAlpha = 1;
|
| 1556 |
-
|
| 1557 |
// Draw neurons
|
| 1558 |
layers.forEach((count, l) => {
|
| 1559 |
const x = 50 + l * layerSpacing;
|
| 1560 |
for (let i = 0; i < count; i++) {
|
| 1561 |
-
const y = canvas.height/2 - (count - 1) * 15 + i * 30;
|
| 1562 |
drawCircle(ctx, x, y, 12, l === 0 ? COLORS.cyan : (l === layers.length - 1 ? COLORS.green : COLORS.orange));
|
| 1563 |
}
|
| 1564 |
-
|
| 1565 |
const layerNames = ['Input', 'Hidden 1', 'Hidden 2', 'Output'];
|
| 1566 |
drawText(ctx, layerNames[l], x, canvas.height - 30, 12, COLORS.text);
|
| 1567 |
});
|
| 1568 |
}
|
| 1569 |
-
|
| 1570 |
draw();
|
| 1571 |
}
|
| 1572 |
|
|
@@ -1575,68 +1589,68 @@ function initMLNeuralNetworkCanvas() {
|
|
| 1575 |
function initSimpleRegressionCanvas() {
|
| 1576 |
const canvas = document.getElementById('canvas-70');
|
| 1577 |
if (!canvas) return;
|
| 1578 |
-
|
| 1579 |
const ctx = canvas.getContext('2d');
|
| 1580 |
let showLine = false;
|
| 1581 |
-
|
| 1582 |
// Sample data
|
| 1583 |
const data = [
|
| 1584 |
-
{x: 1, y: 2.1}, {x: 2, y: 4.2}, {x: 3, y: 5.8}, {x: 4, y: 8.1},
|
| 1585 |
-
{x: 5, y: 10.3}, {x: 6, y: 12.1}, {x: 7, y: 13.9}, {x: 8, y: 16.2},
|
| 1586 |
-
{x: 9, y: 18.1}, {x: 10, y: 20.0}
|
| 1587 |
];
|
| 1588 |
-
|
| 1589 |
function calculateRegression() {
|
| 1590 |
const n = data.length;
|
| 1591 |
const sumX = data.reduce((s, p) => s + p.x, 0);
|
| 1592 |
const sumY = data.reduce((s, p) => s + p.y, 0);
|
| 1593 |
const sumXY = data.reduce((s, p) => s + p.x * p.y, 0);
|
| 1594 |
const sumX2 = data.reduce((s, p) => s + p.x * p.x, 0);
|
| 1595 |
-
|
| 1596 |
const slope = (n * sumXY - sumX * sumY) / (n * sumX2 - sumX * sumX);
|
| 1597 |
const intercept = (sumY - slope * sumX) / n;
|
| 1598 |
-
|
| 1599 |
return { slope, intercept };
|
| 1600 |
}
|
| 1601 |
-
|
| 1602 |
function draw() {
|
| 1603 |
clearCanvas(ctx, canvas);
|
| 1604 |
-
|
| 1605 |
const padding = 60;
|
| 1606 |
const width = canvas.width - 2 * padding;
|
| 1607 |
const height = canvas.height - 2 * padding;
|
| 1608 |
-
|
| 1609 |
const maxX = 11;
|
| 1610 |
const maxY = 22;
|
| 1611 |
-
|
| 1612 |
// Draw axes
|
| 1613 |
drawLine(ctx, padding, canvas.height - padding, canvas.width - padding, canvas.height - padding, COLORS.text, 2);
|
| 1614 |
drawLine(ctx, padding, padding, padding, canvas.height - padding, COLORS.text, 2);
|
| 1615 |
-
|
| 1616 |
// Draw grid
|
| 1617 |
for (let i = 0; i <= 10; i++) {
|
| 1618 |
const x = padding + (i / maxX) * width;
|
| 1619 |
const y = canvas.height - padding - (i * 2 / maxY) * height;
|
| 1620 |
drawLine(ctx, x, canvas.height - padding, x, canvas.height - padding + 5, COLORS.textSecondary, 1);
|
| 1621 |
drawText(ctx, i.toString(), x, canvas.height - padding + 20, 10, COLORS.textSecondary);
|
| 1622 |
-
|
| 1623 |
if (i * 2 <= maxY) {
|
| 1624 |
drawLine(ctx, padding - 5, y, padding, y, COLORS.textSecondary, 1);
|
| 1625 |
drawText(ctx, (i * 2).toString(), padding - 15, y + 4, 10, COLORS.textSecondary, 'right');
|
| 1626 |
}
|
| 1627 |
}
|
| 1628 |
-
|
| 1629 |
// Draw labels
|
| 1630 |
drawText(ctx, 'X', canvas.width - padding + 20, canvas.height - padding + 4, 12, COLORS.cyan);
|
| 1631 |
drawText(ctx, 'Y', padding - 4, padding - 20, 12, COLORS.cyan);
|
| 1632 |
-
|
| 1633 |
// Draw data points
|
| 1634 |
data.forEach(point => {
|
| 1635 |
const x = padding + (point.x / maxX) * width;
|
| 1636 |
const y = canvas.height - padding - (point.y / maxY) * height;
|
| 1637 |
drawCircle(ctx, x, y, 6, COLORS.cyan);
|
| 1638 |
});
|
| 1639 |
-
|
| 1640 |
// Draw regression line
|
| 1641 |
if (showLine) {
|
| 1642 |
const { slope, intercept } = calculateRegression();
|
|
@@ -1644,14 +1658,14 @@ function initSimpleRegressionCanvas() {
|
|
| 1644 |
const y1 = intercept;
|
| 1645 |
const x2 = maxX;
|
| 1646 |
const y2 = slope * x2 + intercept;
|
| 1647 |
-
|
| 1648 |
const px1 = padding + (x1 / maxX) * width;
|
| 1649 |
const py1 = canvas.height - padding - (y1 / maxY) * height;
|
| 1650 |
const px2 = padding + (x2 / maxX) * width;
|
| 1651 |
const py2 = canvas.height - padding - (y2 / maxY) * height;
|
| 1652 |
-
|
| 1653 |
drawLine(ctx, px1, py1, px2, py2, COLORS.orange, 3);
|
| 1654 |
-
|
| 1655 |
// Calculate R²
|
| 1656 |
const meanY = data.reduce((s, p) => s + p.y, 0) / data.length;
|
| 1657 |
let ssTot = 0, ssRes = 0;
|
|
@@ -1661,57 +1675,57 @@ function initSimpleRegressionCanvas() {
|
|
| 1661 |
ssTot += Math.pow(point.y - meanY, 2);
|
| 1662 |
});
|
| 1663 |
const r2 = 1 - (ssRes / ssTot);
|
| 1664 |
-
|
| 1665 |
drawText(ctx, `y = ${intercept.toFixed(2)} + ${slope.toFixed(2)}x`, canvas.width / 2, 30, 14, COLORS.orange);
|
| 1666 |
drawText(ctx, `R² = ${r2.toFixed(4)}`, canvas.width / 2, 50, 14, COLORS.green);
|
| 1667 |
} else {
|
| 1668 |
drawText(ctx, 'Click "Fit Regression Line" to see the best fit', canvas.width / 2, 30, 14, COLORS.text);
|
| 1669 |
}
|
| 1670 |
}
|
| 1671 |
-
|
| 1672 |
const fitBtn = document.getElementById('btn70fit');
|
| 1673 |
const resetBtn = document.getElementById('btn70reset');
|
| 1674 |
-
|
| 1675 |
if (fitBtn) {
|
| 1676 |
fitBtn.addEventListener('click', () => {
|
| 1677 |
showLine = true;
|
| 1678 |
draw();
|
| 1679 |
});
|
| 1680 |
}
|
| 1681 |
-
|
| 1682 |
if (resetBtn) {
|
| 1683 |
resetBtn.addEventListener('click', () => {
|
| 1684 |
showLine = false;
|
| 1685 |
draw();
|
| 1686 |
});
|
| 1687 |
}
|
| 1688 |
-
|
| 1689 |
draw();
|
| 1690 |
}
|
| 1691 |
|
| 1692 |
function initLogisticRegressionCanvas() {
|
| 1693 |
const canvas = document.getElementById('canvas-72');
|
| 1694 |
if (!canvas) return;
|
| 1695 |
-
|
| 1696 |
const ctx = canvas.getContext('2d');
|
| 1697 |
let threshold = 0.5;
|
| 1698 |
-
|
| 1699 |
function sigmoid(z) {
|
| 1700 |
return 1 / (1 + Math.exp(-z));
|
| 1701 |
}
|
| 1702 |
-
|
| 1703 |
function draw() {
|
| 1704 |
clearCanvas(ctx, canvas);
|
| 1705 |
-
|
| 1706 |
const padding = 60;
|
| 1707 |
const width = canvas.width - 2 * padding;
|
| 1708 |
const height = canvas.height - 2 * padding;
|
| 1709 |
-
|
| 1710 |
// Draw axes
|
| 1711 |
const centerY = canvas.height / 2;
|
| 1712 |
drawLine(ctx, padding, centerY, canvas.width - padding, centerY, COLORS.text, 2);
|
| 1713 |
drawLine(ctx, canvas.width / 2, padding, canvas.width / 2, canvas.height - padding, COLORS.text, 2);
|
| 1714 |
-
|
| 1715 |
// Draw sigmoid curve
|
| 1716 |
ctx.beginPath();
|
| 1717 |
for (let x = -6; x <= 6; x += 0.1) {
|
|
@@ -1727,25 +1741,25 @@ function initLogisticRegressionCanvas() {
|
|
| 1727 |
ctx.strokeStyle = COLORS.cyan;
|
| 1728 |
ctx.lineWidth = 3;
|
| 1729 |
ctx.stroke();
|
| 1730 |
-
|
| 1731 |
// Draw threshold line
|
| 1732 |
const thresholdY = canvas.height - padding - threshold * height;
|
| 1733 |
drawLine(ctx, padding, thresholdY, canvas.width - padding, thresholdY, COLORS.orange, 2);
|
| 1734 |
drawText(ctx, `Threshold = ${threshold.toFixed(2)}`, canvas.width - 100, thresholdY - 10, 12, COLORS.orange);
|
| 1735 |
-
|
| 1736 |
// Draw labels
|
| 1737 |
drawText(ctx, 'P(y=1) = σ(z) = 1/(1+e^(-z))', canvas.width / 2, 30, 14, COLORS.cyan);
|
| 1738 |
drawText(ctx, 'Class 1 (if P ≥ threshold)', canvas.width - 150, thresholdY - 30, 12, COLORS.green);
|
| 1739 |
drawText(ctx, 'Class 0 (if P < threshold)', canvas.width - 150, thresholdY + 30, 12, COLORS.textSecondary);
|
| 1740 |
-
|
| 1741 |
// Draw axis labels
|
| 1742 |
drawText(ctx, '0', canvas.width / 2 + 5, centerY + 20, 10, COLORS.text, 'left');
|
| 1743 |
drawText(ctx, '1', padding - 20, padding + 10, 10, COLORS.text);
|
| 1744 |
}
|
| 1745 |
-
|
| 1746 |
const slider = document.getElementById('slider72');
|
| 1747 |
const label = document.getElementById('label72');
|
| 1748 |
-
|
| 1749 |
if (slider) {
|
| 1750 |
slider.addEventListener('input', (e) => {
|
| 1751 |
threshold = parseFloat(e.target.value);
|
|
@@ -1753,24 +1767,24 @@ function initLogisticRegressionCanvas() {
|
|
| 1753 |
draw();
|
| 1754 |
});
|
| 1755 |
}
|
| 1756 |
-
|
| 1757 |
draw();
|
| 1758 |
}
|
| 1759 |
|
| 1760 |
function initPolynomialRegressionCanvas() {
|
| 1761 |
const canvas = document.getElementById('canvas-74');
|
| 1762 |
if (!canvas) return;
|
| 1763 |
-
|
| 1764 |
const ctx = canvas.getContext('2d');
|
| 1765 |
let degree = 1;
|
| 1766 |
-
|
| 1767 |
// Generate sample data with some noise
|
| 1768 |
const trueFunc = (x) => 0.5 * x * x - 3 * x + 5;
|
| 1769 |
const data = [];
|
| 1770 |
for (let x = 0; x <= 10; x += 0.5) {
|
| 1771 |
data.push({ x, y: trueFunc(x) + (Math.random() - 0.5) * 2 });
|
| 1772 |
}
|
| 1773 |
-
|
| 1774 |
function fitPolynomial(degree) {
|
| 1775 |
// Simple polynomial fit (not production-quality)
|
| 1776 |
return (x) => {
|
|
@@ -1780,28 +1794,28 @@ function initPolynomialRegressionCanvas() {
|
|
| 1780 |
return trueFunc(x);
|
| 1781 |
};
|
| 1782 |
}
|
| 1783 |
-
|
| 1784 |
function draw() {
|
| 1785 |
clearCanvas(ctx, canvas);
|
| 1786 |
-
|
| 1787 |
const padding = 60;
|
| 1788 |
const width = canvas.width - 2 * padding;
|
| 1789 |
const height = canvas.height - 2 * padding;
|
| 1790 |
-
|
| 1791 |
const maxX = 10;
|
| 1792 |
const maxY = 15;
|
| 1793 |
-
|
| 1794 |
// Draw axes
|
| 1795 |
drawLine(ctx, padding, canvas.height - padding, canvas.width - padding, canvas.height - padding, COLORS.text, 2);
|
| 1796 |
drawLine(ctx, padding, padding, padding, canvas.height - padding, COLORS.text, 2);
|
| 1797 |
-
|
| 1798 |
// Draw data points
|
| 1799 |
data.forEach(point => {
|
| 1800 |
const px = padding + (point.x / maxX) * width;
|
| 1801 |
const py = canvas.height - padding - (point.y / maxY) * height;
|
| 1802 |
drawCircle(ctx, px, py, 4, COLORS.cyan);
|
| 1803 |
});
|
| 1804 |
-
|
| 1805 |
// Draw polynomial fit
|
| 1806 |
const polyFunc = fitPolynomial(degree);
|
| 1807 |
ctx.beginPath();
|
|
@@ -1818,17 +1832,17 @@ function initPolynomialRegressionCanvas() {
|
|
| 1818 |
ctx.strokeStyle = COLORS.orange;
|
| 1819 |
ctx.lineWidth = 3;
|
| 1820 |
ctx.stroke();
|
| 1821 |
-
|
| 1822 |
drawText(ctx, `Polynomial Degree: ${degree}`, canvas.width / 2, 30, 14, COLORS.orange);
|
| 1823 |
-
|
| 1824 |
if (degree > 5) {
|
| 1825 |
drawText(ctx, 'High degree may overfit!', canvas.width / 2, 50, 12, COLORS.orange);
|
| 1826 |
}
|
| 1827 |
}
|
| 1828 |
-
|
| 1829 |
const slider = document.getElementById('slider74');
|
| 1830 |
const label = document.getElementById('label74');
|
| 1831 |
-
|
| 1832 |
if (slider) {
|
| 1833 |
slider.addEventListener('input', (e) => {
|
| 1834 |
degree = parseInt(e.target.value);
|
|
@@ -1836,17 +1850,17 @@ function initPolynomialRegressionCanvas() {
|
|
| 1836 |
draw();
|
| 1837 |
});
|
| 1838 |
}
|
| 1839 |
-
|
| 1840 |
draw();
|
| 1841 |
}
|
| 1842 |
|
| 1843 |
function initPCACanvas() {
|
| 1844 |
const canvas = document.getElementById('canvas-77');
|
| 1845 |
if (!canvas) return;
|
| 1846 |
-
|
| 1847 |
const ctx = canvas.getContext('2d');
|
| 1848 |
let showPCs = false;
|
| 1849 |
-
|
| 1850 |
// Generate 2D data
|
| 1851 |
const data = [];
|
| 1852 |
for (let i = 0; i < 50; i++) {
|
|
@@ -1854,100 +1868,100 @@ function initPCACanvas() {
|
|
| 1854 |
const y = 0.8 * x + Math.random() * 0.5;
|
| 1855 |
data.push({ x, y });
|
| 1856 |
}
|
| 1857 |
-
|
| 1858 |
function draw() {
|
| 1859 |
clearCanvas(ctx, canvas);
|
| 1860 |
-
|
| 1861 |
const centerX = canvas.width / 2;
|
| 1862 |
const centerY = canvas.height / 2;
|
| 1863 |
const scale = 80;
|
| 1864 |
-
|
| 1865 |
// Draw axes
|
| 1866 |
drawLine(ctx, 0, centerY, canvas.width, centerY, '#555', 1);
|
| 1867 |
drawLine(ctx, centerX, 0, centerX, canvas.height, '#555', 1);
|
| 1868 |
-
|
| 1869 |
// Draw data points
|
| 1870 |
data.forEach(point => {
|
| 1871 |
const px = centerX + point.x * scale;
|
| 1872 |
const py = centerY - point.y * scale;
|
| 1873 |
drawCircle(ctx, px, py, 5, COLORS.cyan);
|
| 1874 |
});
|
| 1875 |
-
|
| 1876 |
if (showPCs) {
|
| 1877 |
// Draw PC1 (main direction)
|
| 1878 |
const pc1Angle = Math.atan(0.8);
|
| 1879 |
const pc1Length = 150;
|
| 1880 |
-
drawLine(ctx,
|
| 1881 |
-
centerX - pc1Length * Math.cos(pc1Angle),
|
| 1882 |
centerY + pc1Length * Math.sin(pc1Angle),
|
| 1883 |
-
centerX + pc1Length * Math.cos(pc1Angle),
|
| 1884 |
centerY - pc1Length * Math.sin(pc1Angle),
|
| 1885 |
COLORS.orange, 3
|
| 1886 |
);
|
| 1887 |
drawText(ctx, 'PC1 (80% variance)', centerX + 100, centerY - 80, 14, COLORS.orange);
|
| 1888 |
-
|
| 1889 |
// Draw PC2 (perpendicular)
|
| 1890 |
const pc2Angle = pc1Angle + Math.PI / 2;
|
| 1891 |
const pc2Length = 80;
|
| 1892 |
-
drawLine(ctx,
|
| 1893 |
-
centerX - pc2Length * Math.cos(pc2Angle),
|
| 1894 |
centerY + pc2Length * Math.sin(pc2Angle),
|
| 1895 |
-
centerX + pc2Length * Math.cos(pc2Angle),
|
| 1896 |
centerY - pc2Length * Math.sin(pc2Angle),
|
| 1897 |
COLORS.green, 3
|
| 1898 |
);
|
| 1899 |
drawText(ctx, 'PC2 (20% variance)', centerX - 100, centerY - 80, 14, COLORS.green);
|
| 1900 |
}
|
| 1901 |
-
|
| 1902 |
drawText(ctx, 'PCA finds directions of maximum variance', canvas.width / 2, 30, 14, COLORS.cyan);
|
| 1903 |
}
|
| 1904 |
-
|
| 1905 |
const projectBtn = document.getElementById('btn77project');
|
| 1906 |
const resetBtn = document.getElementById('btn77reset');
|
| 1907 |
-
|
| 1908 |
if (projectBtn) {
|
| 1909 |
projectBtn.addEventListener('click', () => {
|
| 1910 |
showPCs = true;
|
| 1911 |
draw();
|
| 1912 |
});
|
| 1913 |
}
|
| 1914 |
-
|
| 1915 |
if (resetBtn) {
|
| 1916 |
resetBtn.addEventListener('click', () => {
|
| 1917 |
showPCs = false;
|
| 1918 |
draw();
|
| 1919 |
});
|
| 1920 |
}
|
| 1921 |
-
|
| 1922 |
draw();
|
| 1923 |
}
|
| 1924 |
|
| 1925 |
function initGradientDescentCanvas() {
|
| 1926 |
const canvas = document.getElementById('canvas-80');
|
| 1927 |
if (!canvas) return;
|
| 1928 |
-
|
| 1929 |
const ctx = canvas.getContext('2d');
|
| 1930 |
let learningRate = 0.1;
|
| 1931 |
let animating = false;
|
| 1932 |
let path = [];
|
| 1933 |
-
|
| 1934 |
// Simple quadratic function
|
| 1935 |
const f = (x) => (x - 3) * (x - 3) + 2;
|
| 1936 |
const df = (x) => 2 * (x - 3);
|
| 1937 |
-
|
| 1938 |
function draw() {
|
| 1939 |
clearCanvas(ctx, canvas);
|
| 1940 |
-
|
| 1941 |
const padding = 60;
|
| 1942 |
const width = canvas.width - 2 * padding;
|
| 1943 |
const height = canvas.height - 2 * padding;
|
| 1944 |
const xMin = 0, xMax = 6;
|
| 1945 |
const yMax = 12;
|
| 1946 |
-
|
| 1947 |
// Draw axes
|
| 1948 |
drawLine(ctx, padding, canvas.height - padding, canvas.width - padding, canvas.height - padding, COLORS.text, 2);
|
| 1949 |
drawLine(ctx, padding, padding, padding, canvas.height - padding, COLORS.text, 2);
|
| 1950 |
-
|
| 1951 |
// Draw function
|
| 1952 |
ctx.beginPath();
|
| 1953 |
for (let x = xMin; x <= xMax; x += 0.05) {
|
|
@@ -1963,14 +1977,14 @@ function initGradientDescentCanvas() {
|
|
| 1963 |
ctx.strokeStyle = COLORS.cyan;
|
| 1964 |
ctx.lineWidth = 2;
|
| 1965 |
ctx.stroke();
|
| 1966 |
-
|
| 1967 |
// Draw path
|
| 1968 |
if (path.length > 0) {
|
| 1969 |
ctx.beginPath();
|
| 1970 |
path.forEach((point, i) => {
|
| 1971 |
const px = padding + ((point.x - xMin) / (xMax - xMin)) * width;
|
| 1972 |
const py = canvas.height - padding - (point.y / yMax) * height;
|
| 1973 |
-
|
| 1974 |
if (i === 0) {
|
| 1975 |
ctx.moveTo(px, py);
|
| 1976 |
} else {
|
|
@@ -1982,48 +1996,48 @@ function initGradientDescentCanvas() {
|
|
| 1982 |
ctx.lineWidth = 2;
|
| 1983 |
ctx.stroke();
|
| 1984 |
}
|
| 1985 |
-
|
| 1986 |
drawText(ctx, 'Gradient Descent: Following negative gradient to minimum', canvas.width / 2, 30, 14, COLORS.cyan);
|
| 1987 |
drawText(ctx, `Learning Rate: ${learningRate.toFixed(2)}`, canvas.width / 2, 50, 12, COLORS.text);
|
| 1988 |
}
|
| 1989 |
-
|
| 1990 |
function startDescent() {
|
| 1991 |
if (animating) return;
|
| 1992 |
animating = true;
|
| 1993 |
path = [{ x: 0.5, y: f(0.5) }];
|
| 1994 |
-
|
| 1995 |
const interval = setInterval(() => {
|
| 1996 |
const current = path[path.length - 1];
|
| 1997 |
const grad = df(current.x);
|
| 1998 |
const nextX = current.x - learningRate * grad;
|
| 1999 |
-
|
| 2000 |
if (Math.abs(grad) < 0.01 || path.length > 50) {
|
| 2001 |
clearInterval(interval);
|
| 2002 |
animating = false;
|
| 2003 |
return;
|
| 2004 |
}
|
| 2005 |
-
|
| 2006 |
path.push({ x: nextX, y: f(nextX) });
|
| 2007 |
draw();
|
| 2008 |
}, 200);
|
| 2009 |
}
|
| 2010 |
-
|
| 2011 |
const slider = document.getElementById('slider80');
|
| 2012 |
const label = document.getElementById('label80');
|
| 2013 |
const startBtn = document.getElementById('btn80start');
|
| 2014 |
const resetBtn = document.getElementById('btn80reset');
|
| 2015 |
-
|
| 2016 |
if (slider) {
|
| 2017 |
slider.addEventListener('input', (e) => {
|
| 2018 |
learningRate = parseFloat(e.target.value);
|
| 2019 |
if (label) label.textContent = learningRate.toFixed(2);
|
| 2020 |
});
|
| 2021 |
}
|
| 2022 |
-
|
| 2023 |
if (startBtn) {
|
| 2024 |
startBtn.addEventListener('click', startDescent);
|
| 2025 |
}
|
| 2026 |
-
|
| 2027 |
if (resetBtn) {
|
| 2028 |
resetBtn.addEventListener('click', () => {
|
| 2029 |
path = [];
|
|
@@ -2031,31 +2045,31 @@ function initGradientDescentCanvas() {
|
|
| 2031 |
draw();
|
| 2032 |
});
|
| 2033 |
}
|
| 2034 |
-
|
| 2035 |
draw();
|
| 2036 |
}
|
| 2037 |
|
| 2038 |
function initLossLandscapeCanvas() {
|
| 2039 |
const canvas = document.getElementById('canvas-85');
|
| 2040 |
if (!canvas) return;
|
| 2041 |
-
|
| 2042 |
const ctx = canvas.getContext('2d');
|
| 2043 |
let lossType = 'mse';
|
| 2044 |
-
|
| 2045 |
function draw() {
|
| 2046 |
clearCanvas(ctx, canvas);
|
| 2047 |
-
|
| 2048 |
const padding = 60;
|
| 2049 |
const width = canvas.width - 2 * padding;
|
| 2050 |
const height = canvas.height - 2 * padding;
|
| 2051 |
-
|
| 2052 |
// True value
|
| 2053 |
const trueVal = 5;
|
| 2054 |
-
|
| 2055 |
// Draw axes
|
| 2056 |
drawLine(ctx, padding, canvas.height - padding, canvas.width - padding, canvas.height - padding, COLORS.text, 2);
|
| 2057 |
drawLine(ctx, padding, padding, padding, canvas.height - padding, COLORS.text, 2);
|
| 2058 |
-
|
| 2059 |
// Draw loss function
|
| 2060 |
ctx.beginPath();
|
| 2061 |
for (let pred = 0; pred <= 10; pred += 0.1) {
|
|
@@ -2068,10 +2082,10 @@ function initLossLandscapeCanvas() {
|
|
| 2068 |
// Simplified cross-entropy
|
| 2069 |
loss = -Math.log(Math.max(0.01, 1 - Math.abs(trueVal - pred) / 10));
|
| 2070 |
}
|
| 2071 |
-
|
| 2072 |
const px = padding + (pred / 10) * width;
|
| 2073 |
const py = canvas.height - padding - (loss / 30) * height;
|
| 2074 |
-
|
| 2075 |
if (pred === 0) {
|
| 2076 |
ctx.moveTo(px, py);
|
| 2077 |
} else {
|
|
@@ -2081,23 +2095,23 @@ function initLossLandscapeCanvas() {
|
|
| 2081 |
ctx.strokeStyle = COLORS.cyan;
|
| 2082 |
ctx.lineWidth = 3;
|
| 2083 |
ctx.stroke();
|
| 2084 |
-
|
| 2085 |
// Draw minimum
|
| 2086 |
const minX = padding + (trueVal / 10) * width;
|
| 2087 |
drawLine(ctx, minX, canvas.height - padding, minX, padding, COLORS.orange, 2);
|
| 2088 |
drawText(ctx, 'Minimum', minX + 10, padding + 20, 12, COLORS.orange);
|
| 2089 |
-
|
| 2090 |
const lossNames = {
|
| 2091 |
'mse': 'Mean Squared Error: (y - ŷ)²',
|
| 2092 |
'mae': 'Mean Absolute Error: |y - ŷ|',
|
| 2093 |
'cross': 'Cross-Entropy Loss'
|
| 2094 |
};
|
| 2095 |
-
|
| 2096 |
drawText(ctx, lossNames[lossType], canvas.width / 2, 30, 14, COLORS.cyan);
|
| 2097 |
drawText(ctx, 'Predicted Value →', canvas.width - 100, canvas.height - 30, 12, COLORS.text);
|
| 2098 |
drawText(ctx, 'Loss ↑', padding - 40, padding, 12, COLORS.text);
|
| 2099 |
}
|
| 2100 |
-
|
| 2101 |
const select = document.getElementById('select85');
|
| 2102 |
if (select) {
|
| 2103 |
select.addEventListener('change', (e) => {
|
|
@@ -2105,10 +2119,316 @@ function initLossLandscapeCanvas() {
|
|
| 2105 |
draw();
|
| 2106 |
});
|
| 2107 |
}
|
| 2108 |
-
|
| 2109 |
draw();
|
| 2110 |
}
|
| 2111 |
|
|
|
|
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|
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|
|
|
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|
|
|
|
|
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|
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|
|
|
|
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|
|
|
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|
|
|
|
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|
|
|
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|
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|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 2112 |
console.log('%c📊 Ultimate Learning Platform Loaded', 'color: #64ffda; font-size: 16px; font-weight: bold;');
|
| 2113 |
console.log('%cReady to explore 125+ comprehensive topics across 5 subjects!', 'color: #4a90e2; font-size: 14px;');
|
| 2114 |
console.log('%c✓ Statistics (41) ✓ Linear Algebra (16) ✓ Calculus (12) ✓ Data Science (16) ✓ Machine Learning (40+)', 'color: #51cf66; font-size: 12px;');
|
|
|
|
| 18 |
|
| 19 |
// ===== INITIALIZATION =====
|
| 20 |
document.addEventListener('DOMContentLoaded', () => {
|
| 21 |
+
// Core initialization
|
| 22 |
initNavigation();
|
| 23 |
initSubjectTabs();
|
| 24 |
initInteractiveElements();
|
| 25 |
setupScrollObserver();
|
| 26 |
initializeAllVisualizations();
|
| 27 |
+
|
| 28 |
+
// Enhanced features
|
| 29 |
+
initSearch();
|
| 30 |
+
initProgressTracking();
|
| 31 |
+
initKeyboardShortcuts();
|
| 32 |
+
initLazyLoading();
|
| 33 |
+
|
| 34 |
// Show initial subject
|
| 35 |
switchSubject('statistics');
|
| 36 |
+
|
| 37 |
+
// Log features
|
| 38 |
+
console.log('%c🚀 Enhanced Features Active:', 'color: #64ffda; font-size: 14px; font-weight: bold;');
|
| 39 |
+
console.log('%c ✓ Global Search (Ctrl/Cmd+K)', 'color: #4a90e2;');
|
| 40 |
+
console.log('%c ✓ Progress Tracking (saved locally)', 'color: #4a90e2;');
|
| 41 |
+
console.log('%c ✓ MathJax Formula Rendering', 'color: #4a90e2;');
|
| 42 |
+
console.log('%c ✓ Keyboard Navigation (Alt+↑/↓)', 'color: #4a90e2;');
|
| 43 |
});
|
| 44 |
|
| 45 |
// ===== SUBJECT SWITCHING =====
|
|
|
|
| 55 |
|
| 56 |
function switchSubject(subject) {
|
| 57 |
currentSubject = subject;
|
| 58 |
+
|
| 59 |
// Update active tab
|
| 60 |
document.querySelectorAll('.subject-tab').forEach(tab => {
|
| 61 |
tab.classList.remove('active');
|
|
|
|
| 63 |
tab.classList.add('active');
|
| 64 |
}
|
| 65 |
});
|
| 66 |
+
|
| 67 |
// Update sidebar title
|
| 68 |
const titles = {
|
| 69 |
'statistics': 'Statistics Content',
|
|
|
|
| 76 |
if (sidebarTitle) {
|
| 77 |
sidebarTitle.textContent = titles[subject];
|
| 78 |
}
|
| 79 |
+
|
| 80 |
// Show/hide sidebar modules
|
| 81 |
document.querySelectorAll('.module').forEach(module => {
|
| 82 |
const moduleSubject = module.dataset.subject;
|
|
|
|
| 87 |
module.style.display = subject === 'statistics' ? 'block' : 'none';
|
| 88 |
}
|
| 89 |
});
|
| 90 |
+
|
| 91 |
// Show/hide topic sections
|
| 92 |
document.querySelectorAll('.topic-section').forEach(section => {
|
| 93 |
const sectionSubject = section.dataset.subject || 'statistics';
|
| 94 |
section.style.display = sectionSubject === subject ? 'block' : 'none';
|
| 95 |
});
|
| 96 |
+
|
| 97 |
// Scroll to first topic of subject
|
| 98 |
const firstTopic = document.querySelector(`.topic-section[data-subject="${subject}"], .topic-section:not([data-subject])`);
|
| 99 |
if (firstTopic && subject !== 'statistics') {
|
|
|
|
| 115 |
// Mobile menu toggle
|
| 116 |
const mobileMenuBtn = document.getElementById('mobileMenuBtn');
|
| 117 |
const sidebar = document.getElementById('sidebar');
|
| 118 |
+
|
| 119 |
if (mobileMenuBtn) {
|
| 120 |
mobileMenuBtn.addEventListener('click', () => {
|
| 121 |
sidebar.classList.toggle('active');
|
|
|
|
| 128 |
link.addEventListener('click', (e) => {
|
| 129 |
e.preventDefault();
|
| 130 |
const topicId = link.getAttribute('data-topic');
|
| 131 |
+
|
| 132 |
// Handle both 'topic-X' and 'ml-topic-X' formats
|
| 133 |
let target = document.getElementById(topicId);
|
| 134 |
if (!target && !topicId.includes('-')) {
|
| 135 |
target = document.getElementById(`topic-${topicId}`);
|
| 136 |
}
|
| 137 |
+
|
| 138 |
if (target) {
|
| 139 |
target.scrollIntoView({ behavior: 'smooth', block: 'start' });
|
| 140 |
updateActiveLink(topicId);
|
| 141 |
+
|
| 142 |
// Close mobile menu if open
|
| 143 |
if (window.innerWidth <= 1024) {
|
| 144 |
sidebar.classList.remove('active');
|
|
|
|
| 244 |
function calculateMode(data) {
|
| 245 |
const frequency = {};
|
| 246 |
let maxFreq = 0;
|
| 247 |
+
|
| 248 |
data.forEach(val => {
|
| 249 |
frequency[val] = (frequency[val] || 0) + 1;
|
| 250 |
maxFreq = Math.max(maxFreq, frequency[val]);
|
| 251 |
});
|
| 252 |
+
|
| 253 |
if (maxFreq === 1) return 'None';
|
| 254 |
+
|
| 255 |
const modes = Object.keys(frequency).filter(key => frequency[key] === maxFreq);
|
| 256 |
return modes.join(', ');
|
| 257 |
}
|
|
|
|
| 271 |
const sorted = [...data].sort((a, b) => a - b);
|
| 272 |
const q2 = calculateMedian(sorted);
|
| 273 |
const midIndex = Math.floor(sorted.length / 2);
|
| 274 |
+
|
| 275 |
const lowerHalf = sorted.length % 2 === 0
|
| 276 |
? sorted.slice(0, midIndex)
|
| 277 |
: sorted.slice(0, midIndex);
|
| 278 |
const upperHalf = sorted.length % 2 === 0
|
| 279 |
? sorted.slice(midIndex)
|
| 280 |
: sorted.slice(midIndex + 1);
|
| 281 |
+
|
| 282 |
const q1 = calculateMedian(lowerHalf);
|
| 283 |
const q3 = calculateMedian(upperHalf);
|
| 284 |
+
|
| 285 |
return { q1, q2, q3 };
|
| 286 |
}
|
| 287 |
|
|
|
|
| 290 |
const iqr = q3 - q1;
|
| 291 |
const lowerFence = q1 - 1.5 * iqr;
|
| 292 |
const upperFence = q3 + 1.5 * iqr;
|
| 293 |
+
|
| 294 |
return { q1, q3, iqr, lowerFence, upperFence };
|
| 295 |
}
|
| 296 |
|
|
|
|
| 303 |
const meanX = calculateMean(x);
|
| 304 |
const meanY = calculateMean(y);
|
| 305 |
let sum = 0;
|
| 306 |
+
|
| 307 |
for (let i = 0; i < x.length; i++) {
|
| 308 |
sum += (x[i] - meanX) * (y[i] - meanY);
|
| 309 |
}
|
| 310 |
+
|
| 311 |
return sum / (x.length - 1);
|
| 312 |
}
|
| 313 |
|
|
|
|
| 324 |
function initPopulationSampleViz() {
|
| 325 |
const canvas = document.getElementById('populationSampleCanvas');
|
| 326 |
if (!canvas) return;
|
| 327 |
+
|
| 328 |
const ctx = canvas.getContext('2d');
|
| 329 |
let population = [];
|
| 330 |
let sample = [];
|
| 331 |
let sampleSize = 30;
|
| 332 |
+
|
| 333 |
// Initialize population
|
| 334 |
for (let i = 0; i < 200; i++) {
|
| 335 |
population.push({
|
|
|
|
| 338 |
inSample: false
|
| 339 |
});
|
| 340 |
}
|
| 341 |
+
|
| 342 |
function draw() {
|
| 343 |
clearCanvas(ctx, canvas);
|
| 344 |
+
|
| 345 |
// Draw title
|
| 346 |
drawText(ctx, 'Population (All dots) vs Sample (Highlighted)', canvas.width / 2, 30, 16, COLORS.cyan);
|
| 347 |
+
|
| 348 |
// Draw population
|
| 349 |
population.forEach(point => {
|
| 350 |
const color = point.inSample ? COLORS.orange : COLORS.primary;
|
| 351 |
const radius = point.inSample ? 6 : 4;
|
| 352 |
drawCircle(ctx, point.x, point.y, radius, color);
|
| 353 |
});
|
| 354 |
+
|
| 355 |
// Draw statistics
|
| 356 |
const popCount = population.length;
|
| 357 |
const sampleCount = population.filter(p => p.inSample).length;
|
| 358 |
drawText(ctx, `Population Size: N = ${popCount}`, 150, canvas.height - 20, 14, COLORS.text, 'center');
|
| 359 |
drawText(ctx, `Sample Size: n = ${sampleCount}`, canvas.width - 150, canvas.height - 20, 14, COLORS.orange, 'center');
|
| 360 |
}
|
| 361 |
+
|
| 362 |
function takeSample() {
|
| 363 |
// Reset all
|
| 364 |
population.forEach(p => p.inSample = false);
|
| 365 |
+
|
| 366 |
// Randomly select sample
|
| 367 |
const shuffled = [...population].sort(() => Math.random() - 0.5);
|
| 368 |
for (let i = 0; i < Math.min(sampleSize, population.length); i++) {
|
| 369 |
shuffled[i].inSample = true;
|
| 370 |
}
|
| 371 |
+
|
| 372 |
draw();
|
| 373 |
}
|
| 374 |
+
|
| 375 |
// Event listeners
|
| 376 |
const sampleBtn = document.getElementById('sampleBtn');
|
| 377 |
const resetBtn = document.getElementById('resetPopBtn');
|
| 378 |
const sizeSlider = document.getElementById('sampleSizeSlider');
|
| 379 |
const sizeLabel = document.getElementById('sampleSizeLabel');
|
| 380 |
+
|
| 381 |
if (sampleBtn) {
|
| 382 |
sampleBtn.addEventListener('click', takeSample);
|
| 383 |
}
|
| 384 |
+
|
| 385 |
if (resetBtn) {
|
| 386 |
resetBtn.addEventListener('click', () => {
|
| 387 |
population.forEach(p => p.inSample = false);
|
| 388 |
draw();
|
| 389 |
});
|
| 390 |
}
|
| 391 |
+
|
| 392 |
if (sizeSlider) {
|
| 393 |
sizeSlider.addEventListener('input', (e) => {
|
| 394 |
sampleSize = parseInt(e.target.value);
|
|
|
|
| 397 |
}
|
| 398 |
});
|
| 399 |
}
|
| 400 |
+
|
| 401 |
draw();
|
| 402 |
}
|
| 403 |
|
|
|
|
| 405 |
function initCentralTendencyViz() {
|
| 406 |
const canvas = document.getElementById('centralTendencyCanvas');
|
| 407 |
if (!canvas) return;
|
| 408 |
+
|
| 409 |
const ctx = canvas.getContext('2d');
|
| 410 |
let data = [10, 20, 30, 40, 50];
|
| 411 |
+
|
| 412 |
function parseInput(input) {
|
| 413 |
return input.split(',').map(s => parseFloat(s.trim())).filter(n => !isNaN(n));
|
| 414 |
}
|
| 415 |
+
|
| 416 |
function draw() {
|
| 417 |
clearCanvas(ctx, canvas);
|
| 418 |
+
|
| 419 |
if (data.length === 0) {
|
| 420 |
drawText(ctx, 'Please enter valid numbers', canvas.width / 2, canvas.height / 2, 16, COLORS.orange);
|
| 421 |
return;
|
| 422 |
}
|
| 423 |
+
|
| 424 |
const sorted = [...data].sort((a, b) => a - b);
|
| 425 |
const min = Math.min(...sorted);
|
| 426 |
const max = Math.max(...sorted);
|
| 427 |
const range = max - min || 1;
|
| 428 |
const padding = 80;
|
| 429 |
const width = canvas.width - 2 * padding;
|
| 430 |
+
|
| 431 |
// Calculate statistics
|
| 432 |
const mean = calculateMean(data);
|
| 433 |
const median = calculateMedian(data);
|
| 434 |
const mode = calculateMode(data);
|
| 435 |
+
|
| 436 |
// Update results display
|
| 437 |
document.getElementById('meanResult').textContent = mean.toFixed(2);
|
| 438 |
document.getElementById('medianResult').textContent = median.toFixed(2);
|
| 439 |
document.getElementById('modeResult').textContent = mode;
|
| 440 |
+
|
| 441 |
// Draw axis
|
| 442 |
const axisY = canvas.height / 2;
|
| 443 |
drawLine(ctx, padding, axisY, canvas.width - padding, axisY, COLORS.text, 2);
|
| 444 |
+
|
| 445 |
// Draw data points
|
| 446 |
sorted.forEach((val, idx) => {
|
| 447 |
const x = padding + ((val - min) / range) * width;
|
| 448 |
drawCircle(ctx, x, axisY, 8, COLORS.primary);
|
| 449 |
drawText(ctx, val.toString(), x, axisY + 30, 12, COLORS.text);
|
| 450 |
});
|
| 451 |
+
|
| 452 |
// Draw mean
|
| 453 |
const meanX = padding + ((mean - min) / range) * width;
|
| 454 |
drawLine(ctx, meanX, axisY - 60, meanX, axisY + 60, COLORS.cyan, 3);
|
| 455 |
drawText(ctx, `Mean: ${mean.toFixed(2)}`, meanX, axisY - 70, 14, COLORS.cyan);
|
| 456 |
+
|
| 457 |
// Draw median
|
| 458 |
const medianX = padding + ((median - min) / range) * width;
|
| 459 |
drawLine(ctx, medianX, axisY - 50, medianX, axisY + 50, COLORS.orange, 2);
|
| 460 |
drawText(ctx, `Median: ${median.toFixed(2)}`, medianX, axisY - 55, 12, COLORS.orange);
|
| 461 |
}
|
| 462 |
+
|
| 463 |
// Event listeners
|
| 464 |
const input = document.getElementById('centralTendencyInput');
|
| 465 |
const calcBtn = document.getElementById('calculateCentralBtn');
|
| 466 |
const randomBtn = document.getElementById('randomDataBtn');
|
| 467 |
+
|
| 468 |
if (calcBtn && input) {
|
| 469 |
calcBtn.addEventListener('click', () => {
|
| 470 |
data = parseInput(input.value);
|
| 471 |
draw();
|
| 472 |
});
|
| 473 |
}
|
| 474 |
+
|
| 475 |
if (randomBtn && input) {
|
| 476 |
randomBtn.addEventListener('click', () => {
|
| 477 |
data = Array.from({ length: 10 }, () => Math.floor(Math.random() * 100));
|
|
|
|
| 479 |
draw();
|
| 480 |
});
|
| 481 |
}
|
| 482 |
+
|
| 483 |
if (input) {
|
| 484 |
input.addEventListener('keypress', (e) => {
|
| 485 |
if (e.key === 'Enter') {
|
|
|
|
| 488 |
}
|
| 489 |
});
|
| 490 |
}
|
| 491 |
+
|
| 492 |
draw();
|
| 493 |
}
|
| 494 |
|
|
|
|
| 497 |
// Statistics visualizations
|
| 498 |
initPopulationSampleViz();
|
| 499 |
initCentralTendencyViz();
|
| 500 |
+
|
| 501 |
// Linear Algebra visualizations
|
| 502 |
initVectorCanvas();
|
| 503 |
initSpanCanvas();
|
| 504 |
initTransformationGrid();
|
| 505 |
initEigenvectorCanvas();
|
| 506 |
+
|
| 507 |
// Calculus visualizations
|
| 508 |
initCircleAreaCanvas();
|
| 509 |
initDerivativeCanvas();
|
| 510 |
initRiemannSumCanvas();
|
| 511 |
initTaylorSeriesCanvas();
|
| 512 |
+
|
| 513 |
// Data Science visualizations
|
| 514 |
initSimpleRegressionCanvas();
|
| 515 |
initLogisticRegressionCanvas();
|
|
|
|
| 517 |
initPCACanvas();
|
| 518 |
initGradientDescentCanvas();
|
| 519 |
initLossLandscapeCanvas();
|
| 520 |
+
|
| 521 |
// Machine Learning visualizations
|
| 522 |
initMLLinearRegressionCanvas();
|
| 523 |
initMLKMeansCanvas();
|
|
|
|
| 532 |
function initMLLinearRegressionCanvas() {
|
| 533 |
const canvas = document.getElementById('canvas-ml-1');
|
| 534 |
if (!canvas) return;
|
| 535 |
+
|
| 536 |
const ctx = canvas.getContext('2d');
|
| 537 |
let showLine = false;
|
| 538 |
+
|
| 539 |
// House price data from worked example
|
| 540 |
const data = [
|
| 541 |
+
{ x: 1000, y: 150 },
|
| 542 |
+
{ x: 1500, y: 200 },
|
| 543 |
+
{ x: 2000, y: 250 },
|
| 544 |
+
{ x: 3000, y: 350 }
|
| 545 |
];
|
| 546 |
+
|
| 547 |
function draw() {
|
| 548 |
clearCanvas(ctx, canvas);
|
| 549 |
+
|
| 550 |
const padding = 80;
|
| 551 |
const width = canvas.width - 2 * padding;
|
| 552 |
const height = canvas.height - 2 * padding;
|
| 553 |
+
|
| 554 |
const maxX = 3500;
|
| 555 |
const maxY = 400;
|
| 556 |
+
|
| 557 |
// Draw axes
|
| 558 |
drawLine(ctx, padding, canvas.height - padding, canvas.width - padding, canvas.height - padding, COLORS.text, 2);
|
| 559 |
drawLine(ctx, padding, padding, padding, canvas.height - padding, COLORS.text, 2);
|
| 560 |
+
|
| 561 |
// Draw grid
|
| 562 |
for (let i = 0; i <= 7; i++) {
|
| 563 |
const x = padding + (i / 7) * width;
|
|
|
|
| 565 |
drawLine(ctx, x, canvas.height - padding, x, canvas.height - padding + 5, COLORS.textSecondary, 1);
|
| 566 |
drawText(ctx, xVal, x, canvas.height - padding + 20, 10, COLORS.textSecondary);
|
| 567 |
}
|
| 568 |
+
|
| 569 |
for (let i = 0; i <= 8; i++) {
|
| 570 |
const y = canvas.height - padding - (i / 8) * height;
|
| 571 |
const yVal = (i * 50).toString();
|
| 572 |
drawLine(ctx, padding - 5, y, padding, y, COLORS.textSecondary, 1);
|
| 573 |
drawText(ctx, yVal, padding - 15, y + 4, 10, COLORS.textSecondary, 'right');
|
| 574 |
}
|
| 575 |
+
|
| 576 |
// Draw labels
|
| 577 |
drawText(ctx, 'Size (sq ft)', canvas.width / 2, canvas.height - 10, 12, COLORS.cyan);
|
| 578 |
ctx.save();
|
|
|
|
| 580 |
ctx.rotate(-Math.PI / 2);
|
| 581 |
drawText(ctx, 'Price ($1000s)', 0, 0, 12, COLORS.cyan);
|
| 582 |
ctx.restore();
|
| 583 |
+
|
| 584 |
// Draw data points
|
| 585 |
data.forEach(point => {
|
| 586 |
const px = padding + (point.x / maxX) * width;
|
|
|
|
| 588 |
drawCircle(ctx, px, py, 8, COLORS.cyan);
|
| 589 |
drawText(ctx, `${point.y}k`, px + 15, py - 10, 10, COLORS.cyan, 'left');
|
| 590 |
});
|
| 591 |
+
|
| 592 |
// Draw regression line if enabled
|
| 593 |
if (showLine) {
|
| 594 |
// From worked example: y = 50 + 0.1x
|
| 595 |
const slope = 0.1;
|
| 596 |
const intercept = 50;
|
| 597 |
+
|
| 598 |
const x1 = 0;
|
| 599 |
const y1 = intercept;
|
| 600 |
const x2 = maxX;
|
| 601 |
const y2 = intercept + slope * x2;
|
| 602 |
+
|
| 603 |
const px1 = padding + (x1 / maxX) * width;
|
| 604 |
const py1 = canvas.height - padding - (y1 / maxY) * height;
|
| 605 |
const px2 = padding + (x2 / maxX) * width;
|
| 606 |
const py2 = canvas.height - padding - (y2 / maxY) * height;
|
| 607 |
+
|
| 608 |
drawLine(ctx, px1, py1, px2, py2, COLORS.orange, 3);
|
| 609 |
+
|
| 610 |
// Show equation
|
| 611 |
drawText(ctx, 'y = 50 + 0.10x', canvas.width / 2, 30, 16, COLORS.orange);
|
| 612 |
drawText(ctx, 'R² = 1.00 (Perfect Fit!)', canvas.width / 2, 50, 14, COLORS.green);
|
| 613 |
+
|
| 614 |
// Highlight prediction point (2500, 300)
|
| 615 |
const predX = 2500;
|
| 616 |
const predY = 50 + 0.1 * predX;
|
|
|
|
| 620 |
drawText(ctx, '2500 sq ft → $300k', ppx - 80, ppy - 15, 12, COLORS.green, 'left');
|
| 621 |
}
|
| 622 |
}
|
| 623 |
+
|
| 624 |
const fitBtn = document.getElementById('btn-ml-1-fit');
|
| 625 |
const resetBtn = document.getElementById('btn-ml-1-reset');
|
| 626 |
+
|
| 627 |
if (fitBtn) {
|
| 628 |
fitBtn.addEventListener('click', () => {
|
| 629 |
showLine = true;
|
| 630 |
draw();
|
| 631 |
});
|
| 632 |
}
|
| 633 |
+
|
| 634 |
if (resetBtn) {
|
| 635 |
resetBtn.addEventListener('click', () => {
|
| 636 |
showLine = false;
|
| 637 |
draw();
|
| 638 |
});
|
| 639 |
}
|
| 640 |
+
|
| 641 |
draw();
|
| 642 |
}
|
| 643 |
|
| 644 |
function initMLKMeansCanvas() {
|
| 645 |
const canvas = document.getElementById('canvas-ml-15');
|
| 646 |
if (!canvas) return;
|
| 647 |
+
|
| 648 |
const ctx = canvas.getContext('2d');
|
| 649 |
let clustered = false;
|
| 650 |
+
|
| 651 |
// Customer data from worked example
|
| 652 |
const customers = [
|
| 653 |
+
{ name: 'A', age: 25, income: 40, cluster: null },
|
| 654 |
+
{ name: 'B', age: 30, income: 50, cluster: null },
|
| 655 |
+
{ name: 'C', age: 28, income: 45, cluster: null },
|
| 656 |
+
{ name: 'D', age: 55, income: 80, cluster: null },
|
| 657 |
+
{ name: 'E', age: 60, income: 90, cluster: null },
|
| 658 |
+
{ name: 'F', age: 52, income: 75, cluster: null }
|
| 659 |
];
|
| 660 |
+
|
| 661 |
let centroids = [
|
| 662 |
+
{ age: 25, income: 40, color: COLORS.cyan },
|
| 663 |
+
{ age: 60, income: 90, color: COLORS.orange }
|
| 664 |
];
|
| 665 |
+
|
| 666 |
function assignClusters() {
|
| 667 |
customers.forEach(customer => {
|
| 668 |
// Calculate distance to each centroid
|
| 669 |
const d1 = Math.sqrt(Math.pow(customer.age - centroids[0].age, 2) + Math.pow(customer.income - centroids[0].income, 2));
|
| 670 |
const d2 = Math.sqrt(Math.pow(customer.age - centroids[1].age, 2) + Math.pow(customer.income - centroids[1].income, 2));
|
| 671 |
+
|
| 672 |
customer.cluster = d1 < d2 ? 0 : 1;
|
| 673 |
});
|
| 674 |
+
|
| 675 |
// Update centroids
|
| 676 |
const cluster0 = customers.filter(c => c.cluster === 0);
|
| 677 |
const cluster1 = customers.filter(c => c.cluster === 1);
|
| 678 |
+
|
| 679 |
if (cluster0.length > 0) {
|
| 680 |
centroids[0].age = cluster0.reduce((s, c) => s + c.age, 0) / cluster0.length;
|
| 681 |
centroids[0].income = cluster0.reduce((s, c) => s + c.income, 0) / cluster0.length;
|
|
|
|
| 685 |
centroids[1].income = cluster1.reduce((s, c) => s + c.income, 0) / cluster1.length;
|
| 686 |
}
|
| 687 |
}
|
| 688 |
+
|
| 689 |
function draw() {
|
| 690 |
clearCanvas(ctx, canvas);
|
| 691 |
+
|
| 692 |
const padding = 80;
|
| 693 |
const width = canvas.width - 2 * padding;
|
| 694 |
const height = canvas.height - 2 * padding;
|
| 695 |
+
|
| 696 |
const minAge = 20, maxAge = 70;
|
| 697 |
const minIncome = 30, maxIncome = 100;
|
| 698 |
+
|
| 699 |
// Draw axes
|
| 700 |
drawLine(ctx, padding, canvas.height - padding, canvas.width - padding, canvas.height - padding, COLORS.text, 2);
|
| 701 |
drawLine(ctx, padding, padding, padding, canvas.height - padding, COLORS.text, 2);
|
| 702 |
+
|
| 703 |
// Draw grid
|
| 704 |
for (let age = 20; age <= 70; age += 10) {
|
| 705 |
const x = padding + ((age - minAge) / (maxAge - minAge)) * width;
|
| 706 |
drawLine(ctx, x, canvas.height - padding, x, canvas.height - padding + 5, COLORS.textSecondary, 1);
|
| 707 |
drawText(ctx, age.toString(), x, canvas.height - padding + 20, 10, COLORS.textSecondary);
|
| 708 |
}
|
| 709 |
+
|
| 710 |
for (let income = 30; income <= 100; income += 10) {
|
| 711 |
const y = canvas.height - padding - ((income - minIncome) / (maxIncome - minIncome)) * height;
|
| 712 |
drawLine(ctx, padding - 5, y, padding, y, COLORS.textSecondary, 1);
|
| 713 |
drawText(ctx, `$${income}k`, padding - 40, y + 4, 10, COLORS.textSecondary, 'right');
|
| 714 |
}
|
| 715 |
+
|
| 716 |
// Draw labels
|
| 717 |
drawText(ctx, 'Age', canvas.width / 2, canvas.height - 10, 12, COLORS.cyan);
|
| 718 |
ctx.save();
|
|
|
|
| 720 |
ctx.rotate(-Math.PI / 2);
|
| 721 |
drawText(ctx, 'Income ($k)', 0, 0, 12, COLORS.cyan);
|
| 722 |
ctx.restore();
|
| 723 |
+
|
| 724 |
// Draw customers
|
| 725 |
customers.forEach(customer => {
|
| 726 |
const px = padding + ((customer.age - minAge) / (maxAge - minAge)) * width;
|
| 727 |
const py = canvas.height - padding - ((customer.income - minIncome) / (maxIncome - minIncome)) * height;
|
| 728 |
+
|
| 729 |
const color = clustered ? (customer.cluster === 0 ? COLORS.cyan : COLORS.orange) : COLORS.primary;
|
| 730 |
drawCircle(ctx, px, py, 10, color);
|
| 731 |
drawText(ctx, customer.name, px, py - 15, 12, COLORS.text);
|
| 732 |
});
|
| 733 |
+
|
| 734 |
// Draw centroids if clustered
|
| 735 |
if (clustered) {
|
| 736 |
centroids.forEach((centroid, i) => {
|
| 737 |
const cx = padding + ((centroid.age - minAge) / (maxAge - minAge)) * width;
|
| 738 |
const cy = canvas.height - padding - ((centroid.income - minIncome) / (maxIncome - minIncome)) * height;
|
| 739 |
+
|
| 740 |
// Draw X marker for centroid
|
| 741 |
ctx.strokeStyle = centroid.color;
|
| 742 |
ctx.lineWidth = 4;
|
|
|
|
| 746 |
ctx.moveTo(cx + 12, cy - 12);
|
| 747 |
ctx.lineTo(cx - 12, cy + 12);
|
| 748 |
ctx.stroke();
|
| 749 |
+
|
| 750 |
+
drawText(ctx, `C${i + 1} [${centroid.age.toFixed(1)}, ${centroid.income.toFixed(1)}]`,
|
| 751 |
+
cx + 20, cy, 11, centroid.color, 'left');
|
| 752 |
});
|
| 753 |
+
|
| 754 |
drawText(ctx, 'Cluster 1 (Young, Lower Income)', 150, 30, 12, COLORS.cyan);
|
| 755 |
drawText(ctx, 'Cluster 2 (Mature, Higher Income)', 150, 50, 12, COLORS.orange);
|
| 756 |
}
|
| 757 |
}
|
| 758 |
+
|
| 759 |
const clusterBtn = document.getElementById('btn-ml-15-cluster');
|
| 760 |
const resetBtn = document.getElementById('btn-ml-15-reset');
|
| 761 |
+
|
| 762 |
if (clusterBtn) {
|
| 763 |
clusterBtn.addEventListener('click', () => {
|
| 764 |
clustered = true;
|
|
|
|
| 766 |
draw();
|
| 767 |
});
|
| 768 |
}
|
| 769 |
+
|
| 770 |
if (resetBtn) {
|
| 771 |
resetBtn.addEventListener('click', () => {
|
| 772 |
clustered = false;
|
| 773 |
customers.forEach(c => c.cluster = null);
|
| 774 |
centroids = [
|
| 775 |
+
{ age: 25, income: 40, color: COLORS.cyan },
|
| 776 |
+
{ age: 60, income: 90, color: COLORS.orange }
|
| 777 |
];
|
| 778 |
draw();
|
| 779 |
});
|
| 780 |
}
|
| 781 |
+
|
| 782 |
draw();
|
| 783 |
}
|
| 784 |
|
|
|
|
| 787 |
function initVectorCanvas() {
|
| 788 |
const canvas = document.getElementById('canvas-42');
|
| 789 |
if (!canvas) return;
|
| 790 |
+
|
| 791 |
const ctx = canvas.getContext('2d');
|
| 792 |
let vx = 3, vy = 2;
|
| 793 |
+
|
| 794 |
function draw() {
|
| 795 |
clearCanvas(ctx, canvas);
|
| 796 |
+
|
| 797 |
const centerX = canvas.width / 2;
|
| 798 |
const centerY = canvas.height / 2;
|
| 799 |
const scale = 40;
|
| 800 |
+
|
| 801 |
// Draw axes
|
| 802 |
drawLine(ctx, 0, centerY, canvas.width, centerY, '#555', 1);
|
| 803 |
drawLine(ctx, centerX, 0, centerX, canvas.height, '#555', 1);
|
| 804 |
+
|
| 805 |
// Draw grid
|
| 806 |
ctx.strokeStyle = '#333';
|
| 807 |
ctx.lineWidth = 0.5;
|
|
|
|
| 811 |
drawLine(ctx, 0, centerY + i * scale, canvas.width, centerY + i * scale, '#333', 0.5);
|
| 812 |
}
|
| 813 |
}
|
| 814 |
+
|
| 815 |
// Draw vector
|
| 816 |
const endX = centerX + vx * scale;
|
| 817 |
const endY = centerY - vy * scale;
|
| 818 |
+
|
| 819 |
// Arrow shaft
|
| 820 |
drawLine(ctx, centerX, centerY, endX, endY, COLORS.cyan, 3);
|
| 821 |
+
|
| 822 |
// Arrow head
|
| 823 |
const angle = Math.atan2(vy, vx);
|
| 824 |
const arrowSize = 15;
|
|
|
|
| 829 |
ctx.closePath();
|
| 830 |
ctx.fillStyle = COLORS.cyan;
|
| 831 |
ctx.fill();
|
| 832 |
+
|
| 833 |
// Draw vector label
|
| 834 |
drawText(ctx, `v = [${vx.toFixed(1)}, ${vy.toFixed(1)}]`, endX + 20, endY - 10, 14, COLORS.cyan, 'left');
|
| 835 |
+
|
| 836 |
// Draw magnitude
|
| 837 |
const magnitude = Math.sqrt(vx * vx + vy * vy);
|
| 838 |
drawText(ctx, `|v| = ${magnitude.toFixed(2)}`, canvas.width / 2, 30, 14, COLORS.text);
|
| 839 |
}
|
| 840 |
+
|
| 841 |
const sliderX = document.getElementById('slider42x');
|
| 842 |
const sliderY = document.getElementById('slider42y');
|
| 843 |
const labelX = document.getElementById('vec42x');
|
| 844 |
const labelY = document.getElementById('vec42y');
|
| 845 |
+
|
| 846 |
if (sliderX) {
|
| 847 |
sliderX.addEventListener('input', (e) => {
|
| 848 |
vx = parseFloat(e.target.value);
|
|
|
|
| 850 |
draw();
|
| 851 |
});
|
| 852 |
}
|
| 853 |
+
|
| 854 |
if (sliderY) {
|
| 855 |
sliderY.addEventListener('input', (e) => {
|
| 856 |
vy = parseFloat(e.target.value);
|
|
|
|
| 858 |
draw();
|
| 859 |
});
|
| 860 |
}
|
| 861 |
+
|
| 862 |
const resetBtn = document.getElementById('btn42reset');
|
| 863 |
if (resetBtn) {
|
| 864 |
resetBtn.addEventListener('click', () => {
|
|
|
|
| 870 |
draw();
|
| 871 |
});
|
| 872 |
}
|
| 873 |
+
|
| 874 |
draw();
|
| 875 |
}
|
| 876 |
|
| 877 |
function initSpanCanvas() {
|
| 878 |
const canvas = document.getElementById('canvas-43');
|
| 879 |
if (!canvas) return;
|
| 880 |
+
|
| 881 |
const ctx = canvas.getContext('2d');
|
| 882 |
let animating = false;
|
| 883 |
let t = 0;
|
| 884 |
+
|
| 885 |
function draw() {
|
| 886 |
clearCanvas(ctx, canvas);
|
| 887 |
+
|
| 888 |
const centerX = canvas.width / 2;
|
| 889 |
const centerY = canvas.height / 2;
|
| 890 |
const scale = 50;
|
| 891 |
+
|
| 892 |
// Draw axes
|
| 893 |
drawLine(ctx, 0, centerY, canvas.width, centerY, '#555', 1);
|
| 894 |
drawLine(ctx, centerX, 0, centerX, canvas.height, '#555', 1);
|
| 895 |
+
|
| 896 |
// Basis vectors
|
| 897 |
const v1 = { x: 2, y: 1 };
|
| 898 |
const v2 = { x: -1, y: 1.5 };
|
| 899 |
+
|
| 900 |
// Draw basis vectors
|
| 901 |
drawLine(ctx, centerX, centerY, centerX + v1.x * scale, centerY - v1.y * scale, COLORS.cyan, 3);
|
| 902 |
drawLine(ctx, centerX, centerY, centerX + v2.x * scale, centerY - v2.y * scale, COLORS.orange, 3);
|
| 903 |
+
|
| 904 |
if (animating) {
|
| 905 |
// Draw span (multiple linear combinations)
|
| 906 |
ctx.globalAlpha = 0.3;
|
|
|
|
| 913 |
}
|
| 914 |
ctx.globalAlpha = 1;
|
| 915 |
}
|
| 916 |
+
|
| 917 |
drawText(ctx, 'v₁', centerX + v1.x * scale + 20, centerY - v1.y * scale, 16, COLORS.cyan);
|
| 918 |
drawText(ctx, 'v₂', centerX + v2.x * scale - 20, centerY - v2.y * scale, 16, COLORS.orange);
|
| 919 |
}
|
| 920 |
+
|
| 921 |
const animateBtn = document.getElementById('btn43animate');
|
| 922 |
const resetBtn = document.getElementById('btn43reset');
|
| 923 |
+
|
| 924 |
if (animateBtn) {
|
| 925 |
animateBtn.addEventListener('click', () => {
|
| 926 |
animating = true;
|
| 927 |
draw();
|
| 928 |
});
|
| 929 |
}
|
| 930 |
+
|
| 931 |
if (resetBtn) {
|
| 932 |
resetBtn.addEventListener('click', () => {
|
| 933 |
animating = false;
|
| 934 |
draw();
|
| 935 |
});
|
| 936 |
}
|
| 937 |
+
|
| 938 |
draw();
|
| 939 |
}
|
| 940 |
|
| 941 |
function initTransformationGrid() {
|
| 942 |
const canvas = document.getElementById('canvas-44');
|
| 943 |
if (!canvas) return;
|
| 944 |
+
|
| 945 |
const ctx = canvas.getContext('2d');
|
| 946 |
let matrix = [[1, 0], [0, 1]]; // Identity
|
| 947 |
+
|
| 948 |
function drawGrid(transform = false) {
|
| 949 |
clearCanvas(ctx, canvas);
|
| 950 |
+
|
| 951 |
const centerX = canvas.width / 2;
|
| 952 |
const centerY = canvas.height / 2;
|
| 953 |
const scale = 40;
|
| 954 |
const gridSize = 5;
|
| 955 |
+
|
| 956 |
ctx.strokeStyle = transform ? COLORS.cyan : '#555';
|
| 957 |
ctx.lineWidth = 1;
|
| 958 |
+
|
| 959 |
// Draw grid lines
|
| 960 |
for (let i = -gridSize; i <= gridSize; i++) {
|
| 961 |
for (let j = -gridSize; j <= gridSize; j++) {
|
| 962 |
let x1 = i, y1 = j;
|
| 963 |
let x2 = i + 1, y2 = j;
|
| 964 |
let x3 = i, y3 = j + 1;
|
| 965 |
+
|
| 966 |
if (transform) {
|
| 967 |
[x1, y1] = [matrix[0][0] * i + matrix[0][1] * j, matrix[1][0] * i + matrix[1][1] * j];
|
| 968 |
[x2, y2] = [matrix[0][0] * (i + 1) + matrix[0][1] * j, matrix[1][0] * (i + 1) + matrix[1][1] * j];
|
| 969 |
[x3, y3] = [matrix[0][0] * i + matrix[0][1] * (j + 1), matrix[1][0] * i + matrix[1][1] * (j + 1)];
|
| 970 |
}
|
| 971 |
+
|
| 972 |
drawLine(ctx, centerX + x1 * scale, centerY - y1 * scale, centerX + x2 * scale, centerY - y2 * scale, ctx.strokeStyle, 1);
|
| 973 |
drawLine(ctx, centerX + x1 * scale, centerY - y1 * scale, centerX + x3 * scale, centerY - y3 * scale, ctx.strokeStyle, 1);
|
| 974 |
}
|
| 975 |
}
|
| 976 |
+
|
| 977 |
// Draw i-hat and j-hat
|
| 978 |
const iHat = transform ? [matrix[0][0], matrix[1][0]] : [1, 0];
|
| 979 |
const jHat = transform ? [matrix[0][1], matrix[1][1]] : [0, 1];
|
| 980 |
+
|
| 981 |
drawLine(ctx, centerX, centerY, centerX + iHat[0] * scale, centerY - iHat[1] * scale, COLORS.orange, 3);
|
| 982 |
drawLine(ctx, centerX, centerY, centerX + jHat[0] * scale, centerY - jHat[1] * scale, COLORS.green, 3);
|
| 983 |
}
|
| 984 |
+
|
| 985 |
const select = document.getElementById('select44');
|
| 986 |
const applyBtn = document.getElementById('btn44apply');
|
| 987 |
+
|
| 988 |
if (applyBtn && select) {
|
| 989 |
applyBtn.addEventListener('click', () => {
|
| 990 |
const type = select.value;
|
|
|
|
| 1004 |
drawGrid(true);
|
| 1005 |
});
|
| 1006 |
}
|
| 1007 |
+
|
| 1008 |
drawGrid(false);
|
| 1009 |
}
|
| 1010 |
|
| 1011 |
function initEigenvectorCanvas() {
|
| 1012 |
const canvas = document.getElementById('canvas-54');
|
| 1013 |
if (!canvas) return;
|
| 1014 |
+
|
| 1015 |
const ctx = canvas.getContext('2d');
|
| 1016 |
let transformed = false;
|
| 1017 |
+
|
| 1018 |
function draw() {
|
| 1019 |
clearCanvas(ctx, canvas);
|
| 1020 |
+
|
| 1021 |
const centerX = canvas.width / 2;
|
| 1022 |
const centerY = canvas.height / 2;
|
| 1023 |
const scale = 50;
|
| 1024 |
+
|
| 1025 |
// Draw axes
|
| 1026 |
drawLine(ctx, 0, centerY, canvas.width, centerY, '#555', 1);
|
| 1027 |
drawLine(ctx, centerX, 0, centerX, canvas.height, '#555', 1);
|
| 1028 |
+
|
| 1029 |
// Matrix [[2, 0], [0, 1]] - scaling transformation
|
| 1030 |
// Eigenvectors: [1, 0] with eigenvalue 2, [0, 1] with eigenvalue 1
|
| 1031 |
+
|
| 1032 |
const e1Scale = transformed ? 2 : 1;
|
| 1033 |
const e2Scale = 1;
|
| 1034 |
+
|
| 1035 |
// Draw regular vectors (affected)
|
| 1036 |
const regularVecs = [[2, 2], [1, 2], [-2, 1]];
|
| 1037 |
regularVecs.forEach(([x, y]) => {
|
|
|
|
| 1039 |
const endY = centerY - y * scale;
|
| 1040 |
drawLine(ctx, centerX, centerY, endX, endY, '#666', 2);
|
| 1041 |
});
|
| 1042 |
+
|
| 1043 |
// Draw eigenvectors (special - stay on their line)
|
| 1044 |
drawLine(ctx, centerX, centerY, centerX + e1Scale * 2 * scale, centerY, COLORS.cyan, 4);
|
| 1045 |
drawLine(ctx, centerX, centerY, centerX, centerY - 2 * scale, COLORS.orange, 4);
|
| 1046 |
+
|
| 1047 |
drawText(ctx, 'Eigenvector 1 (λ=2)', centerX + e1Scale * 2 * scale + 10, centerY - 10, 12, COLORS.cyan, 'left');
|
| 1048 |
drawText(ctx, 'Eigenvector 2 (λ=1)', centerX + 10, centerY - 2 * scale - 10, 12, COLORS.orange, 'left');
|
| 1049 |
}
|
| 1050 |
+
|
| 1051 |
const transformBtn = document.getElementById('btn54transform');
|
| 1052 |
const resetBtn = document.getElementById('btn54reset');
|
| 1053 |
+
|
| 1054 |
if (transformBtn) {
|
| 1055 |
transformBtn.addEventListener('click', () => {
|
| 1056 |
transformed = true;
|
| 1057 |
draw();
|
| 1058 |
});
|
| 1059 |
}
|
| 1060 |
+
|
| 1061 |
if (resetBtn) {
|
| 1062 |
resetBtn.addEventListener('click', () => {
|
| 1063 |
transformed = false;
|
| 1064 |
draw();
|
| 1065 |
});
|
| 1066 |
}
|
| 1067 |
+
|
| 1068 |
draw();
|
| 1069 |
}
|
| 1070 |
|
|
|
|
| 1073 |
function initCircleAreaCanvas() {
|
| 1074 |
const canvas = document.getElementById('canvas-58');
|
| 1075 |
if (!canvas) return;
|
| 1076 |
+
|
| 1077 |
const ctx = canvas.getContext('2d');
|
| 1078 |
let unwrapping = false;
|
| 1079 |
let progress = 0;
|
| 1080 |
+
|
| 1081 |
function draw() {
|
| 1082 |
clearCanvas(ctx, canvas);
|
| 1083 |
+
|
| 1084 |
const centerX = canvas.width / 4;
|
| 1085 |
const centerY = canvas.height / 2;
|
| 1086 |
const radius = 100;
|
| 1087 |
+
|
| 1088 |
if (!unwrapping) {
|
| 1089 |
// Draw circle
|
| 1090 |
drawCircle(ctx, centerX, centerY, radius, COLORS.cyan, false);
|
|
|
|
| 1098 |
const rectY = centerY - r;
|
| 1099 |
const rectHeight = 2 * r;
|
| 1100 |
const dr = radius / rings;
|
| 1101 |
+
|
| 1102 |
ctx.fillStyle = COLORS.cyan;
|
| 1103 |
ctx.globalAlpha = 0.6;
|
| 1104 |
ctx.fillRect(rectX, rectY, 2, rectHeight);
|
| 1105 |
}
|
| 1106 |
ctx.globalAlpha = 1;
|
| 1107 |
+
|
| 1108 |
if (progress >= 0.99) {
|
| 1109 |
drawText(ctx, 'Integrated! Area = πr²', canvas.width * 0.7, centerY + 50, 14, COLORS.green);
|
| 1110 |
}
|
| 1111 |
}
|
| 1112 |
}
|
| 1113 |
+
|
| 1114 |
const animateBtn = document.getElementById('btn58animate');
|
| 1115 |
const resetBtn = document.getElementById('btn58reset');
|
| 1116 |
+
|
| 1117 |
if (animateBtn) {
|
| 1118 |
animateBtn.addEventListener('click', () => {
|
| 1119 |
unwrapping = true;
|
|
|
|
| 1127 |
}, 50);
|
| 1128 |
});
|
| 1129 |
}
|
| 1130 |
+
|
| 1131 |
if (resetBtn) {
|
| 1132 |
resetBtn.addEventListener('click', () => {
|
| 1133 |
unwrapping = false;
|
|
|
|
| 1135 |
draw();
|
| 1136 |
});
|
| 1137 |
}
|
| 1138 |
+
|
| 1139 |
draw();
|
| 1140 |
}
|
| 1141 |
|
| 1142 |
function initDerivativeCanvas() {
|
| 1143 |
const canvas = document.getElementById('canvas-59');
|
| 1144 |
if (!canvas) return;
|
| 1145 |
+
|
| 1146 |
const ctx = canvas.getContext('2d');
|
| 1147 |
let dx = 1.0;
|
| 1148 |
+
|
| 1149 |
function f(x) {
|
| 1150 |
return 0.02 * x * x;
|
| 1151 |
}
|
| 1152 |
+
|
| 1153 |
function draw() {
|
| 1154 |
clearCanvas(ctx, canvas);
|
| 1155 |
+
|
| 1156 |
const scale = 50;
|
| 1157 |
const centerX = canvas.width / 2;
|
| 1158 |
const centerY = canvas.height * 0.8;
|
| 1159 |
+
|
| 1160 |
// Draw axes
|
| 1161 |
drawLine(ctx, 50, centerY, canvas.width - 50, centerY, '#555', 1);
|
| 1162 |
drawLine(ctx, centerX, 50, centerX, canvas.height - 50, '#555', 1);
|
| 1163 |
+
|
| 1164 |
// Draw function
|
| 1165 |
ctx.beginPath();
|
| 1166 |
for (let x = -canvas.width / 2; x < canvas.width / 2; x += 2) {
|
|
|
|
| 1175 |
ctx.strokeStyle = COLORS.cyan;
|
| 1176 |
ctx.lineWidth = 2;
|
| 1177 |
ctx.stroke();
|
| 1178 |
+
|
| 1179 |
// Draw secant line
|
| 1180 |
const x0 = 0;
|
| 1181 |
const x1 = dx * scale;
|
| 1182 |
const y0 = centerY - f(x0) * scale;
|
| 1183 |
const y1 = centerY - f(x1) * scale;
|
| 1184 |
+
|
| 1185 |
drawLine(ctx, centerX + x0 - 50, y0 - (y1 - y0) / x1 * 50, centerX + x1 + 50, y1 + (y1 - y0) / x1 * 50, COLORS.orange, 2);
|
| 1186 |
drawCircle(ctx, centerX + x0, y0, 5, COLORS.green);
|
| 1187 |
drawCircle(ctx, centerX + x1, y1, 5, COLORS.green);
|
| 1188 |
+
|
| 1189 |
const slope = (f(x1 / scale) - f(0)) / (x1 / scale);
|
| 1190 |
drawText(ctx, `Slope = ${slope.toFixed(3)}`, canvas.width / 2, 40, 14, COLORS.orange);
|
| 1191 |
drawText(ctx, `As Δx → 0, slope → derivative`, canvas.width / 2, 60, 12, COLORS.text);
|
| 1192 |
}
|
| 1193 |
+
|
| 1194 |
const slider = document.getElementById('slider59dx');
|
| 1195 |
const label = document.getElementById('label59dx');
|
| 1196 |
+
|
| 1197 |
if (slider) {
|
| 1198 |
slider.addEventListener('input', (e) => {
|
| 1199 |
dx = parseFloat(e.target.value);
|
|
|
|
| 1201 |
draw();
|
| 1202 |
});
|
| 1203 |
}
|
| 1204 |
+
|
| 1205 |
draw();
|
| 1206 |
}
|
| 1207 |
|
| 1208 |
function initRiemannSumCanvas() {
|
| 1209 |
const canvas = document.getElementById('canvas-64');
|
| 1210 |
if (!canvas) return;
|
| 1211 |
+
|
| 1212 |
const ctx = canvas.getContext('2d');
|
| 1213 |
let n = 8;
|
| 1214 |
+
|
| 1215 |
function f(x) {
|
| 1216 |
return 50 + 50 * Math.sin(x / 30);
|
| 1217 |
}
|
| 1218 |
+
|
| 1219 |
function draw() {
|
| 1220 |
clearCanvas(ctx, canvas);
|
| 1221 |
+
|
| 1222 |
const padding = 50;
|
| 1223 |
const width = canvas.width - 2 * padding;
|
| 1224 |
const height = canvas.height - 2 * padding;
|
| 1225 |
+
|
| 1226 |
// Draw axes
|
| 1227 |
drawLine(ctx, padding, height + padding, canvas.width - padding, height + padding, '#555', 2);
|
| 1228 |
drawLine(ctx, padding, padding, padding, height + padding, '#555', 2);
|
| 1229 |
+
|
| 1230 |
// Draw function
|
| 1231 |
ctx.beginPath();
|
| 1232 |
for (let x = 0; x <= width; x += 2) {
|
|
|
|
| 1241 |
ctx.strokeStyle = COLORS.cyan;
|
| 1242 |
ctx.lineWidth = 3;
|
| 1243 |
ctx.stroke();
|
| 1244 |
+
|
| 1245 |
// Draw rectangles
|
| 1246 |
const rectWidth = width / n;
|
| 1247 |
let totalArea = 0;
|
| 1248 |
+
|
| 1249 |
for (let i = 0; i < n; i++) {
|
| 1250 |
const x = i * rectWidth;
|
| 1251 |
const rectHeight = f(x);
|
| 1252 |
totalArea += rectWidth * rectHeight;
|
| 1253 |
+
|
| 1254 |
ctx.fillStyle = COLORS.orange;
|
| 1255 |
ctx.globalAlpha = 0.5;
|
| 1256 |
ctx.fillRect(padding + x, height + padding - rectHeight, rectWidth, rectHeight);
|
|
|
|
| 1258 |
ctx.globalAlpha = 1;
|
| 1259 |
ctx.strokeRect(padding + x, height + padding - rectHeight, rectWidth, rectHeight);
|
| 1260 |
}
|
| 1261 |
+
|
| 1262 |
drawText(ctx, `Rectangles: ${n}`, canvas.width / 2, 30, 14, COLORS.text);
|
| 1263 |
drawText(ctx, `Approximate Area: ${(totalArea / 100).toFixed(2)}`, canvas.width / 2, 50, 12, COLORS.orange);
|
| 1264 |
}
|
| 1265 |
+
|
| 1266 |
const slider = document.getElementById('slider64n');
|
| 1267 |
const label = document.getElementById('label64n');
|
| 1268 |
+
|
| 1269 |
if (slider) {
|
| 1270 |
slider.addEventListener('input', (e) => {
|
| 1271 |
n = parseInt(e.target.value);
|
|
|
|
| 1273 |
draw();
|
| 1274 |
});
|
| 1275 |
}
|
| 1276 |
+
|
| 1277 |
draw();
|
| 1278 |
}
|
| 1279 |
|
| 1280 |
function initTaylorSeriesCanvas() {
|
| 1281 |
const canvas = document.getElementById('canvas-68');
|
| 1282 |
if (!canvas) return;
|
| 1283 |
+
|
| 1284 |
const ctx = canvas.getContext('2d');
|
| 1285 |
let degree = 1;
|
| 1286 |
let func = 'sin';
|
| 1287 |
+
|
| 1288 |
function draw() {
|
| 1289 |
clearCanvas(ctx, canvas);
|
| 1290 |
+
|
| 1291 |
const scale = 50;
|
| 1292 |
const centerX = canvas.width / 2;
|
| 1293 |
const centerY = canvas.height / 2;
|
| 1294 |
+
|
| 1295 |
// Draw axes
|
| 1296 |
drawLine(ctx, 50, centerY, canvas.width - 50, centerY, '#555', 1);
|
| 1297 |
drawLine(ctx, centerX, 50, centerX, canvas.height - 50, '#555', 1);
|
| 1298 |
+
|
| 1299 |
// Draw actual function
|
| 1300 |
ctx.beginPath();
|
| 1301 |
for (let x = -canvas.width / 2; x < canvas.width / 2; x += 2) {
|
|
|
|
| 1304 |
if (func === 'sin') y = Math.sin(t);
|
| 1305 |
else if (func === 'cos') y = Math.cos(t);
|
| 1306 |
else y = Math.exp(t);
|
| 1307 |
+
|
| 1308 |
const px = centerX + x;
|
| 1309 |
const py = centerY - y * scale;
|
| 1310 |
if (x === -canvas.width / 2) {
|
|
|
|
| 1316 |
ctx.strokeStyle = COLORS.cyan;
|
| 1317 |
ctx.lineWidth = 2;
|
| 1318 |
ctx.stroke();
|
| 1319 |
+
|
| 1320 |
// Draw Taylor approximation
|
| 1321 |
ctx.beginPath();
|
| 1322 |
for (let x = -canvas.width / 2; x < canvas.width / 2; x += 2) {
|
| 1323 |
const t = x / scale;
|
| 1324 |
let y = 0;
|
| 1325 |
+
|
| 1326 |
if (func === 'sin') {
|
| 1327 |
for (let n = 0; n <= degree; n++) {
|
| 1328 |
const term = Math.pow(-1, n) * Math.pow(t, 2 * n + 1) / factorial(2 * n + 1);
|
|
|
|
| 1338 |
y += Math.pow(t, n) / factorial(n);
|
| 1339 |
}
|
| 1340 |
}
|
| 1341 |
+
|
| 1342 |
const px = centerX + x;
|
| 1343 |
const py = centerY - y * scale;
|
| 1344 |
if (x === -canvas.width / 2) {
|
|
|
|
| 1350 |
ctx.strokeStyle = COLORS.orange;
|
| 1351 |
ctx.lineWidth = 3;
|
| 1352 |
ctx.stroke();
|
| 1353 |
+
|
| 1354 |
drawText(ctx, `Function: ${func}(x)`, canvas.width / 2, 30, 14, COLORS.cyan);
|
| 1355 |
drawText(ctx, `Taylor degree: ${degree}`, canvas.width / 2, 50, 14, COLORS.orange);
|
| 1356 |
}
|
| 1357 |
+
|
| 1358 |
function factorial(n) {
|
| 1359 |
if (n <= 1) return 1;
|
| 1360 |
return n * factorial(n - 1);
|
| 1361 |
}
|
| 1362 |
+
|
| 1363 |
const slider = document.getElementById('slider68degree');
|
| 1364 |
const label = document.getElementById('label68degree');
|
| 1365 |
const select = document.getElementById('select68func');
|
| 1366 |
+
|
| 1367 |
if (slider) {
|
| 1368 |
slider.addEventListener('input', (e) => {
|
| 1369 |
degree = parseInt(e.target.value);
|
|
|
|
| 1371 |
draw();
|
| 1372 |
});
|
| 1373 |
}
|
| 1374 |
+
|
| 1375 |
if (select) {
|
| 1376 |
select.addEventListener('change', (e) => {
|
| 1377 |
func = e.target.value;
|
| 1378 |
draw();
|
| 1379 |
});
|
| 1380 |
}
|
| 1381 |
+
|
| 1382 |
draw();
|
| 1383 |
}
|
| 1384 |
|
|
|
|
| 1390 |
|
| 1391 |
// ===== HELPER FUNCTIONS =====
|
| 1392 |
function generateRandomData(count, min, max) {
|
| 1393 |
+
return Array.from({ length: count }, () =>
|
| 1394 |
Math.floor(Math.random() * (max - min + 1)) + min
|
| 1395 |
);
|
| 1396 |
}
|
|
|
|
| 1404 |
if (animationFrames[canvasId]) {
|
| 1405 |
cancelAnimationFrame(animationFrames[canvasId]);
|
| 1406 |
}
|
| 1407 |
+
|
| 1408 |
function animate() {
|
| 1409 |
animationFunction();
|
| 1410 |
animationFrames[canvasId] = requestAnimationFrame(animate);
|
| 1411 |
}
|
| 1412 |
+
|
| 1413 |
animate();
|
| 1414 |
}
|
| 1415 |
|
|
|
|
| 1427 |
function initMLSVMCanvas() {
|
| 1428 |
const canvas = document.getElementById('canvas-ml-9');
|
| 1429 |
if (!canvas) return;
|
| 1430 |
+
|
| 1431 |
const ctx = canvas.getContext('2d');
|
| 1432 |
+
|
| 1433 |
// Generate two-class data
|
| 1434 |
+
const class1 = Array.from({ length: 20 }, () => ({
|
| 1435 |
x: Math.random() * 100 + 50,
|
| 1436 |
y: Math.random() * 100 + 50
|
| 1437 |
}));
|
| 1438 |
+
const class2 = Array.from({ length: 20 }, () => ({
|
| 1439 |
x: Math.random() * 100 + 200,
|
| 1440 |
y: Math.random() * 100 + 200
|
| 1441 |
}));
|
| 1442 |
+
|
| 1443 |
function draw() {
|
| 1444 |
clearCanvas(ctx, canvas);
|
| 1445 |
+
|
| 1446 |
const padding = 50;
|
| 1447 |
+
|
| 1448 |
// Draw decision boundary (simplified)
|
| 1449 |
drawLine(ctx, padding, canvas.height - padding, canvas.width - padding, padding, COLORS.orange, 3);
|
| 1450 |
+
drawText(ctx, 'Decision Boundary', canvas.width / 2, 30, 14, COLORS.orange);
|
| 1451 |
+
|
| 1452 |
// Draw margin lines
|
| 1453 |
drawLine(ctx, padding, canvas.height - padding - 30, canvas.width - padding, padding - 30, COLORS.green, 1);
|
| 1454 |
drawLine(ctx, padding, canvas.height - padding + 30, canvas.width - padding, padding + 30, COLORS.green, 1);
|
| 1455 |
+
drawText(ctx, 'Maximum Margin', canvas.width / 2, 50, 12, COLORS.green);
|
| 1456 |
+
|
| 1457 |
// Draw data points
|
| 1458 |
class1.forEach(p => drawCircle(ctx, p.x, p.y, 6, COLORS.cyan));
|
| 1459 |
class2.forEach(p => drawCircle(ctx, p.x, p.y, 6, COLORS.primary));
|
| 1460 |
}
|
| 1461 |
+
|
| 1462 |
draw();
|
| 1463 |
}
|
| 1464 |
|
| 1465 |
function initMLRandomForestCanvas() {
|
| 1466 |
const canvas = document.getElementById('canvas-ml-12');
|
| 1467 |
if (!canvas) return;
|
| 1468 |
+
|
| 1469 |
const ctx = canvas.getContext('2d');
|
| 1470 |
+
|
| 1471 |
function draw() {
|
| 1472 |
clearCanvas(ctx, canvas);
|
| 1473 |
+
|
| 1474 |
+
drawText(ctx, 'Random Forest: Ensemble of Decision Trees', canvas.width / 2, 50, 16, COLORS.cyan);
|
| 1475 |
+
|
| 1476 |
// Draw multiple trees
|
| 1477 |
const treeCount = 5;
|
| 1478 |
const treeWidth = (canvas.width - 100) / treeCount;
|
| 1479 |
+
|
| 1480 |
for (let i = 0; i < treeCount; i++) {
|
| 1481 |
+
const x = 50 + i * treeWidth + treeWidth / 2;
|
| 1482 |
const y = 100;
|
| 1483 |
+
|
| 1484 |
// Draw simple tree structure
|
| 1485 |
drawLine(ctx, x, y, x - 30, y + 60, COLORS.green, 2);
|
| 1486 |
drawLine(ctx, x, y, x + 30, y + 60, COLORS.green, 2);
|
| 1487 |
drawCircle(ctx, x, y, 8, COLORS.cyan);
|
| 1488 |
drawCircle(ctx, x - 30, y + 60, 6, COLORS.orange);
|
| 1489 |
drawCircle(ctx, x + 30, y + 60, 6, COLORS.orange);
|
| 1490 |
+
|
| 1491 |
+
drawText(ctx, `Tree ${i + 1}`, x, y + 100, 12, COLORS.text);
|
| 1492 |
}
|
| 1493 |
+
|
| 1494 |
// Draw voting arrow
|
| 1495 |
+
drawLine(ctx, canvas.width / 2, 200, canvas.width / 2, 280, COLORS.orange, 3);
|
| 1496 |
+
drawText(ctx, '↓ Majority Vote', canvas.width / 2 + 10, 250, 14, COLORS.orange, 'left');
|
| 1497 |
+
|
| 1498 |
+
drawRect(ctx, canvas.width / 2 - 80, 280, 160, 40, COLORS.green);
|
| 1499 |
+
drawText(ctx, 'Final Prediction', canvas.width / 2, 305, 14, '#000');
|
| 1500 |
}
|
| 1501 |
+
|
| 1502 |
draw();
|
| 1503 |
}
|
| 1504 |
|
| 1505 |
function initMLGradientBoostingCanvas() {
|
| 1506 |
const canvas = document.getElementById('canvas-ml-13');
|
| 1507 |
if (!canvas) return;
|
| 1508 |
+
|
| 1509 |
const ctx = canvas.getContext('2d');
|
| 1510 |
+
|
| 1511 |
function draw() {
|
| 1512 |
clearCanvas(ctx, canvas);
|
| 1513 |
+
|
| 1514 |
+
drawText(ctx, 'Gradient Boosting: Sequential Error Correction', canvas.width / 2, 40, 16, COLORS.cyan);
|
| 1515 |
+
|
| 1516 |
const stages = 4;
|
| 1517 |
const stageWidth = (canvas.width - 100) / stages;
|
| 1518 |
+
|
| 1519 |
for (let i = 0; i < stages; i++) {
|
| 1520 |
const x = 50 + i * stageWidth;
|
| 1521 |
+
const y = canvas.height / 2;
|
| 1522 |
+
|
| 1523 |
// Draw tree
|
| 1524 |
drawRect(ctx, x, y - 40, stageWidth - 40, 80, i === 0 ? COLORS.cyan : COLORS.orange, false);
|
| 1525 |
+
drawText(ctx, `Tree ${i + 1}`, x + (stageWidth - 40) / 2, y, 12, COLORS.text);
|
| 1526 |
+
drawText(ctx, i === 0 ? 'Base' : 'Fix Errors', x + (stageWidth - 40) / 2, y + 20, 10, COLORS.textSecondary);
|
| 1527 |
+
|
| 1528 |
// Draw arrow
|
| 1529 |
if (i < stages - 1) {
|
| 1530 |
drawLine(ctx, x + stageWidth - 40, y, x + stageWidth, y, COLORS.green, 2);
|
| 1531 |
drawText(ctx, '+', x + stageWidth - 20, y - 10, 16, COLORS.green);
|
| 1532 |
}
|
| 1533 |
}
|
| 1534 |
+
|
| 1535 |
+
drawText(ctx, 'Each tree learns from previous mistakes', canvas.width / 2, canvas.height - 30, 12, COLORS.text);
|
| 1536 |
}
|
| 1537 |
+
|
| 1538 |
draw();
|
| 1539 |
}
|
| 1540 |
|
| 1541 |
function initMLNeuralNetworkCanvas() {
|
| 1542 |
const canvas = document.getElementById('canvas-ml-14');
|
| 1543 |
if (!canvas) return;
|
| 1544 |
+
|
| 1545 |
const ctx = canvas.getContext('2d');
|
| 1546 |
+
|
| 1547 |
function draw() {
|
| 1548 |
clearCanvas(ctx, canvas);
|
| 1549 |
+
|
| 1550 |
+
drawText(ctx, 'Neural Network Architecture', canvas.width / 2, 30, 16, COLORS.cyan);
|
| 1551 |
+
|
| 1552 |
const layers = [3, 5, 4, 2]; // neurons per layer
|
| 1553 |
const layerSpacing = (canvas.width - 100) / (layers.length - 1);
|
| 1554 |
+
|
| 1555 |
// Draw connections
|
| 1556 |
ctx.globalAlpha = 0.3;
|
| 1557 |
for (let l = 0; l < layers.length - 1; l++) {
|
| 1558 |
const x1 = 50 + l * layerSpacing;
|
| 1559 |
const x2 = 50 + (l + 1) * layerSpacing;
|
| 1560 |
+
|
| 1561 |
for (let i = 0; i < layers[l]; i++) {
|
| 1562 |
+
const y1 = canvas.height / 2 - (layers[l] - 1) * 15 + i * 30;
|
| 1563 |
for (let j = 0; j < layers[l + 1]; j++) {
|
| 1564 |
+
const y2 = canvas.height / 2 - (layers[l + 1] - 1) * 15 + j * 30;
|
| 1565 |
drawLine(ctx, x1, y1, x2, y2, COLORS.textSecondary, 1);
|
| 1566 |
}
|
| 1567 |
}
|
| 1568 |
}
|
| 1569 |
ctx.globalAlpha = 1;
|
| 1570 |
+
|
| 1571 |
// Draw neurons
|
| 1572 |
layers.forEach((count, l) => {
|
| 1573 |
const x = 50 + l * layerSpacing;
|
| 1574 |
for (let i = 0; i < count; i++) {
|
| 1575 |
+
const y = canvas.height / 2 - (count - 1) * 15 + i * 30;
|
| 1576 |
drawCircle(ctx, x, y, 12, l === 0 ? COLORS.cyan : (l === layers.length - 1 ? COLORS.green : COLORS.orange));
|
| 1577 |
}
|
| 1578 |
+
|
| 1579 |
const layerNames = ['Input', 'Hidden 1', 'Hidden 2', 'Output'];
|
| 1580 |
drawText(ctx, layerNames[l], x, canvas.height - 30, 12, COLORS.text);
|
| 1581 |
});
|
| 1582 |
}
|
| 1583 |
+
|
| 1584 |
draw();
|
| 1585 |
}
|
| 1586 |
|
|
|
|
| 1589 |
function initSimpleRegressionCanvas() {
|
| 1590 |
const canvas = document.getElementById('canvas-70');
|
| 1591 |
if (!canvas) return;
|
| 1592 |
+
|
| 1593 |
const ctx = canvas.getContext('2d');
|
| 1594 |
let showLine = false;
|
| 1595 |
+
|
| 1596 |
// Sample data
|
| 1597 |
const data = [
|
| 1598 |
+
{ x: 1, y: 2.1 }, { x: 2, y: 4.2 }, { x: 3, y: 5.8 }, { x: 4, y: 8.1 },
|
| 1599 |
+
{ x: 5, y: 10.3 }, { x: 6, y: 12.1 }, { x: 7, y: 13.9 }, { x: 8, y: 16.2 },
|
| 1600 |
+
{ x: 9, y: 18.1 }, { x: 10, y: 20.0 }
|
| 1601 |
];
|
| 1602 |
+
|
| 1603 |
function calculateRegression() {
|
| 1604 |
const n = data.length;
|
| 1605 |
const sumX = data.reduce((s, p) => s + p.x, 0);
|
| 1606 |
const sumY = data.reduce((s, p) => s + p.y, 0);
|
| 1607 |
const sumXY = data.reduce((s, p) => s + p.x * p.y, 0);
|
| 1608 |
const sumX2 = data.reduce((s, p) => s + p.x * p.x, 0);
|
| 1609 |
+
|
| 1610 |
const slope = (n * sumXY - sumX * sumY) / (n * sumX2 - sumX * sumX);
|
| 1611 |
const intercept = (sumY - slope * sumX) / n;
|
| 1612 |
+
|
| 1613 |
return { slope, intercept };
|
| 1614 |
}
|
| 1615 |
+
|
| 1616 |
function draw() {
|
| 1617 |
clearCanvas(ctx, canvas);
|
| 1618 |
+
|
| 1619 |
const padding = 60;
|
| 1620 |
const width = canvas.width - 2 * padding;
|
| 1621 |
const height = canvas.height - 2 * padding;
|
| 1622 |
+
|
| 1623 |
const maxX = 11;
|
| 1624 |
const maxY = 22;
|
| 1625 |
+
|
| 1626 |
// Draw axes
|
| 1627 |
drawLine(ctx, padding, canvas.height - padding, canvas.width - padding, canvas.height - padding, COLORS.text, 2);
|
| 1628 |
drawLine(ctx, padding, padding, padding, canvas.height - padding, COLORS.text, 2);
|
| 1629 |
+
|
| 1630 |
// Draw grid
|
| 1631 |
for (let i = 0; i <= 10; i++) {
|
| 1632 |
const x = padding + (i / maxX) * width;
|
| 1633 |
const y = canvas.height - padding - (i * 2 / maxY) * height;
|
| 1634 |
drawLine(ctx, x, canvas.height - padding, x, canvas.height - padding + 5, COLORS.textSecondary, 1);
|
| 1635 |
drawText(ctx, i.toString(), x, canvas.height - padding + 20, 10, COLORS.textSecondary);
|
| 1636 |
+
|
| 1637 |
if (i * 2 <= maxY) {
|
| 1638 |
drawLine(ctx, padding - 5, y, padding, y, COLORS.textSecondary, 1);
|
| 1639 |
drawText(ctx, (i * 2).toString(), padding - 15, y + 4, 10, COLORS.textSecondary, 'right');
|
| 1640 |
}
|
| 1641 |
}
|
| 1642 |
+
|
| 1643 |
// Draw labels
|
| 1644 |
drawText(ctx, 'X', canvas.width - padding + 20, canvas.height - padding + 4, 12, COLORS.cyan);
|
| 1645 |
drawText(ctx, 'Y', padding - 4, padding - 20, 12, COLORS.cyan);
|
| 1646 |
+
|
| 1647 |
// Draw data points
|
| 1648 |
data.forEach(point => {
|
| 1649 |
const x = padding + (point.x / maxX) * width;
|
| 1650 |
const y = canvas.height - padding - (point.y / maxY) * height;
|
| 1651 |
drawCircle(ctx, x, y, 6, COLORS.cyan);
|
| 1652 |
});
|
| 1653 |
+
|
| 1654 |
// Draw regression line
|
| 1655 |
if (showLine) {
|
| 1656 |
const { slope, intercept } = calculateRegression();
|
|
|
|
| 1658 |
const y1 = intercept;
|
| 1659 |
const x2 = maxX;
|
| 1660 |
const y2 = slope * x2 + intercept;
|
| 1661 |
+
|
| 1662 |
const px1 = padding + (x1 / maxX) * width;
|
| 1663 |
const py1 = canvas.height - padding - (y1 / maxY) * height;
|
| 1664 |
const px2 = padding + (x2 / maxX) * width;
|
| 1665 |
const py2 = canvas.height - padding - (y2 / maxY) * height;
|
| 1666 |
+
|
| 1667 |
drawLine(ctx, px1, py1, px2, py2, COLORS.orange, 3);
|
| 1668 |
+
|
| 1669 |
// Calculate R²
|
| 1670 |
const meanY = data.reduce((s, p) => s + p.y, 0) / data.length;
|
| 1671 |
let ssTot = 0, ssRes = 0;
|
|
|
|
| 1675 |
ssTot += Math.pow(point.y - meanY, 2);
|
| 1676 |
});
|
| 1677 |
const r2 = 1 - (ssRes / ssTot);
|
| 1678 |
+
|
| 1679 |
drawText(ctx, `y = ${intercept.toFixed(2)} + ${slope.toFixed(2)}x`, canvas.width / 2, 30, 14, COLORS.orange);
|
| 1680 |
drawText(ctx, `R² = ${r2.toFixed(4)}`, canvas.width / 2, 50, 14, COLORS.green);
|
| 1681 |
} else {
|
| 1682 |
drawText(ctx, 'Click "Fit Regression Line" to see the best fit', canvas.width / 2, 30, 14, COLORS.text);
|
| 1683 |
}
|
| 1684 |
}
|
| 1685 |
+
|
| 1686 |
const fitBtn = document.getElementById('btn70fit');
|
| 1687 |
const resetBtn = document.getElementById('btn70reset');
|
| 1688 |
+
|
| 1689 |
if (fitBtn) {
|
| 1690 |
fitBtn.addEventListener('click', () => {
|
| 1691 |
showLine = true;
|
| 1692 |
draw();
|
| 1693 |
});
|
| 1694 |
}
|
| 1695 |
+
|
| 1696 |
if (resetBtn) {
|
| 1697 |
resetBtn.addEventListener('click', () => {
|
| 1698 |
showLine = false;
|
| 1699 |
draw();
|
| 1700 |
});
|
| 1701 |
}
|
| 1702 |
+
|
| 1703 |
draw();
|
| 1704 |
}
|
| 1705 |
|
| 1706 |
function initLogisticRegressionCanvas() {
|
| 1707 |
const canvas = document.getElementById('canvas-72');
|
| 1708 |
if (!canvas) return;
|
| 1709 |
+
|
| 1710 |
const ctx = canvas.getContext('2d');
|
| 1711 |
let threshold = 0.5;
|
| 1712 |
+
|
| 1713 |
function sigmoid(z) {
|
| 1714 |
return 1 / (1 + Math.exp(-z));
|
| 1715 |
}
|
| 1716 |
+
|
| 1717 |
function draw() {
|
| 1718 |
clearCanvas(ctx, canvas);
|
| 1719 |
+
|
| 1720 |
const padding = 60;
|
| 1721 |
const width = canvas.width - 2 * padding;
|
| 1722 |
const height = canvas.height - 2 * padding;
|
| 1723 |
+
|
| 1724 |
// Draw axes
|
| 1725 |
const centerY = canvas.height / 2;
|
| 1726 |
drawLine(ctx, padding, centerY, canvas.width - padding, centerY, COLORS.text, 2);
|
| 1727 |
drawLine(ctx, canvas.width / 2, padding, canvas.width / 2, canvas.height - padding, COLORS.text, 2);
|
| 1728 |
+
|
| 1729 |
// Draw sigmoid curve
|
| 1730 |
ctx.beginPath();
|
| 1731 |
for (let x = -6; x <= 6; x += 0.1) {
|
|
|
|
| 1741 |
ctx.strokeStyle = COLORS.cyan;
|
| 1742 |
ctx.lineWidth = 3;
|
| 1743 |
ctx.stroke();
|
| 1744 |
+
|
| 1745 |
// Draw threshold line
|
| 1746 |
const thresholdY = canvas.height - padding - threshold * height;
|
| 1747 |
drawLine(ctx, padding, thresholdY, canvas.width - padding, thresholdY, COLORS.orange, 2);
|
| 1748 |
drawText(ctx, `Threshold = ${threshold.toFixed(2)}`, canvas.width - 100, thresholdY - 10, 12, COLORS.orange);
|
| 1749 |
+
|
| 1750 |
// Draw labels
|
| 1751 |
drawText(ctx, 'P(y=1) = σ(z) = 1/(1+e^(-z))', canvas.width / 2, 30, 14, COLORS.cyan);
|
| 1752 |
drawText(ctx, 'Class 1 (if P ≥ threshold)', canvas.width - 150, thresholdY - 30, 12, COLORS.green);
|
| 1753 |
drawText(ctx, 'Class 0 (if P < threshold)', canvas.width - 150, thresholdY + 30, 12, COLORS.textSecondary);
|
| 1754 |
+
|
| 1755 |
// Draw axis labels
|
| 1756 |
drawText(ctx, '0', canvas.width / 2 + 5, centerY + 20, 10, COLORS.text, 'left');
|
| 1757 |
drawText(ctx, '1', padding - 20, padding + 10, 10, COLORS.text);
|
| 1758 |
}
|
| 1759 |
+
|
| 1760 |
const slider = document.getElementById('slider72');
|
| 1761 |
const label = document.getElementById('label72');
|
| 1762 |
+
|
| 1763 |
if (slider) {
|
| 1764 |
slider.addEventListener('input', (e) => {
|
| 1765 |
threshold = parseFloat(e.target.value);
|
|
|
|
| 1767 |
draw();
|
| 1768 |
});
|
| 1769 |
}
|
| 1770 |
+
|
| 1771 |
draw();
|
| 1772 |
}
|
| 1773 |
|
| 1774 |
function initPolynomialRegressionCanvas() {
|
| 1775 |
const canvas = document.getElementById('canvas-74');
|
| 1776 |
if (!canvas) return;
|
| 1777 |
+
|
| 1778 |
const ctx = canvas.getContext('2d');
|
| 1779 |
let degree = 1;
|
| 1780 |
+
|
| 1781 |
// Generate sample data with some noise
|
| 1782 |
const trueFunc = (x) => 0.5 * x * x - 3 * x + 5;
|
| 1783 |
const data = [];
|
| 1784 |
for (let x = 0; x <= 10; x += 0.5) {
|
| 1785 |
data.push({ x, y: trueFunc(x) + (Math.random() - 0.5) * 2 });
|
| 1786 |
}
|
| 1787 |
+
|
| 1788 |
function fitPolynomial(degree) {
|
| 1789 |
// Simple polynomial fit (not production-quality)
|
| 1790 |
return (x) => {
|
|
|
|
| 1794 |
return trueFunc(x);
|
| 1795 |
};
|
| 1796 |
}
|
| 1797 |
+
|
| 1798 |
function draw() {
|
| 1799 |
clearCanvas(ctx, canvas);
|
| 1800 |
+
|
| 1801 |
const padding = 60;
|
| 1802 |
const width = canvas.width - 2 * padding;
|
| 1803 |
const height = canvas.height - 2 * padding;
|
| 1804 |
+
|
| 1805 |
const maxX = 10;
|
| 1806 |
const maxY = 15;
|
| 1807 |
+
|
| 1808 |
// Draw axes
|
| 1809 |
drawLine(ctx, padding, canvas.height - padding, canvas.width - padding, canvas.height - padding, COLORS.text, 2);
|
| 1810 |
drawLine(ctx, padding, padding, padding, canvas.height - padding, COLORS.text, 2);
|
| 1811 |
+
|
| 1812 |
// Draw data points
|
| 1813 |
data.forEach(point => {
|
| 1814 |
const px = padding + (point.x / maxX) * width;
|
| 1815 |
const py = canvas.height - padding - (point.y / maxY) * height;
|
| 1816 |
drawCircle(ctx, px, py, 4, COLORS.cyan);
|
| 1817 |
});
|
| 1818 |
+
|
| 1819 |
// Draw polynomial fit
|
| 1820 |
const polyFunc = fitPolynomial(degree);
|
| 1821 |
ctx.beginPath();
|
|
|
|
| 1832 |
ctx.strokeStyle = COLORS.orange;
|
| 1833 |
ctx.lineWidth = 3;
|
| 1834 |
ctx.stroke();
|
| 1835 |
+
|
| 1836 |
drawText(ctx, `Polynomial Degree: ${degree}`, canvas.width / 2, 30, 14, COLORS.orange);
|
| 1837 |
+
|
| 1838 |
if (degree > 5) {
|
| 1839 |
drawText(ctx, 'High degree may overfit!', canvas.width / 2, 50, 12, COLORS.orange);
|
| 1840 |
}
|
| 1841 |
}
|
| 1842 |
+
|
| 1843 |
const slider = document.getElementById('slider74');
|
| 1844 |
const label = document.getElementById('label74');
|
| 1845 |
+
|
| 1846 |
if (slider) {
|
| 1847 |
slider.addEventListener('input', (e) => {
|
| 1848 |
degree = parseInt(e.target.value);
|
|
|
|
| 1850 |
draw();
|
| 1851 |
});
|
| 1852 |
}
|
| 1853 |
+
|
| 1854 |
draw();
|
| 1855 |
}
|
| 1856 |
|
| 1857 |
function initPCACanvas() {
|
| 1858 |
const canvas = document.getElementById('canvas-77');
|
| 1859 |
if (!canvas) return;
|
| 1860 |
+
|
| 1861 |
const ctx = canvas.getContext('2d');
|
| 1862 |
let showPCs = false;
|
| 1863 |
+
|
| 1864 |
// Generate 2D data
|
| 1865 |
const data = [];
|
| 1866 |
for (let i = 0; i < 50; i++) {
|
|
|
|
| 1868 |
const y = 0.8 * x + Math.random() * 0.5;
|
| 1869 |
data.push({ x, y });
|
| 1870 |
}
|
| 1871 |
+
|
| 1872 |
function draw() {
|
| 1873 |
clearCanvas(ctx, canvas);
|
| 1874 |
+
|
| 1875 |
const centerX = canvas.width / 2;
|
| 1876 |
const centerY = canvas.height / 2;
|
| 1877 |
const scale = 80;
|
| 1878 |
+
|
| 1879 |
// Draw axes
|
| 1880 |
drawLine(ctx, 0, centerY, canvas.width, centerY, '#555', 1);
|
| 1881 |
drawLine(ctx, centerX, 0, centerX, canvas.height, '#555', 1);
|
| 1882 |
+
|
| 1883 |
// Draw data points
|
| 1884 |
data.forEach(point => {
|
| 1885 |
const px = centerX + point.x * scale;
|
| 1886 |
const py = centerY - point.y * scale;
|
| 1887 |
drawCircle(ctx, px, py, 5, COLORS.cyan);
|
| 1888 |
});
|
| 1889 |
+
|
| 1890 |
if (showPCs) {
|
| 1891 |
// Draw PC1 (main direction)
|
| 1892 |
const pc1Angle = Math.atan(0.8);
|
| 1893 |
const pc1Length = 150;
|
| 1894 |
+
drawLine(ctx,
|
| 1895 |
+
centerX - pc1Length * Math.cos(pc1Angle),
|
| 1896 |
centerY + pc1Length * Math.sin(pc1Angle),
|
| 1897 |
+
centerX + pc1Length * Math.cos(pc1Angle),
|
| 1898 |
centerY - pc1Length * Math.sin(pc1Angle),
|
| 1899 |
COLORS.orange, 3
|
| 1900 |
);
|
| 1901 |
drawText(ctx, 'PC1 (80% variance)', centerX + 100, centerY - 80, 14, COLORS.orange);
|
| 1902 |
+
|
| 1903 |
// Draw PC2 (perpendicular)
|
| 1904 |
const pc2Angle = pc1Angle + Math.PI / 2;
|
| 1905 |
const pc2Length = 80;
|
| 1906 |
+
drawLine(ctx,
|
| 1907 |
+
centerX - pc2Length * Math.cos(pc2Angle),
|
| 1908 |
centerY + pc2Length * Math.sin(pc2Angle),
|
| 1909 |
+
centerX + pc2Length * Math.cos(pc2Angle),
|
| 1910 |
centerY - pc2Length * Math.sin(pc2Angle),
|
| 1911 |
COLORS.green, 3
|
| 1912 |
);
|
| 1913 |
drawText(ctx, 'PC2 (20% variance)', centerX - 100, centerY - 80, 14, COLORS.green);
|
| 1914 |
}
|
| 1915 |
+
|
| 1916 |
drawText(ctx, 'PCA finds directions of maximum variance', canvas.width / 2, 30, 14, COLORS.cyan);
|
| 1917 |
}
|
| 1918 |
+
|
| 1919 |
const projectBtn = document.getElementById('btn77project');
|
| 1920 |
const resetBtn = document.getElementById('btn77reset');
|
| 1921 |
+
|
| 1922 |
if (projectBtn) {
|
| 1923 |
projectBtn.addEventListener('click', () => {
|
| 1924 |
showPCs = true;
|
| 1925 |
draw();
|
| 1926 |
});
|
| 1927 |
}
|
| 1928 |
+
|
| 1929 |
if (resetBtn) {
|
| 1930 |
resetBtn.addEventListener('click', () => {
|
| 1931 |
showPCs = false;
|
| 1932 |
draw();
|
| 1933 |
});
|
| 1934 |
}
|
| 1935 |
+
|
| 1936 |
draw();
|
| 1937 |
}
|
| 1938 |
|
| 1939 |
function initGradientDescentCanvas() {
|
| 1940 |
const canvas = document.getElementById('canvas-80');
|
| 1941 |
if (!canvas) return;
|
| 1942 |
+
|
| 1943 |
const ctx = canvas.getContext('2d');
|
| 1944 |
let learningRate = 0.1;
|
| 1945 |
let animating = false;
|
| 1946 |
let path = [];
|
| 1947 |
+
|
| 1948 |
// Simple quadratic function
|
| 1949 |
const f = (x) => (x - 3) * (x - 3) + 2;
|
| 1950 |
const df = (x) => 2 * (x - 3);
|
| 1951 |
+
|
| 1952 |
function draw() {
|
| 1953 |
clearCanvas(ctx, canvas);
|
| 1954 |
+
|
| 1955 |
const padding = 60;
|
| 1956 |
const width = canvas.width - 2 * padding;
|
| 1957 |
const height = canvas.height - 2 * padding;
|
| 1958 |
const xMin = 0, xMax = 6;
|
| 1959 |
const yMax = 12;
|
| 1960 |
+
|
| 1961 |
// Draw axes
|
| 1962 |
drawLine(ctx, padding, canvas.height - padding, canvas.width - padding, canvas.height - padding, COLORS.text, 2);
|
| 1963 |
drawLine(ctx, padding, padding, padding, canvas.height - padding, COLORS.text, 2);
|
| 1964 |
+
|
| 1965 |
// Draw function
|
| 1966 |
ctx.beginPath();
|
| 1967 |
for (let x = xMin; x <= xMax; x += 0.05) {
|
|
|
|
| 1977 |
ctx.strokeStyle = COLORS.cyan;
|
| 1978 |
ctx.lineWidth = 2;
|
| 1979 |
ctx.stroke();
|
| 1980 |
+
|
| 1981 |
// Draw path
|
| 1982 |
if (path.length > 0) {
|
| 1983 |
ctx.beginPath();
|
| 1984 |
path.forEach((point, i) => {
|
| 1985 |
const px = padding + ((point.x - xMin) / (xMax - xMin)) * width;
|
| 1986 |
const py = canvas.height - padding - (point.y / yMax) * height;
|
| 1987 |
+
|
| 1988 |
if (i === 0) {
|
| 1989 |
ctx.moveTo(px, py);
|
| 1990 |
} else {
|
|
|
|
| 1996 |
ctx.lineWidth = 2;
|
| 1997 |
ctx.stroke();
|
| 1998 |
}
|
| 1999 |
+
|
| 2000 |
drawText(ctx, 'Gradient Descent: Following negative gradient to minimum', canvas.width / 2, 30, 14, COLORS.cyan);
|
| 2001 |
drawText(ctx, `Learning Rate: ${learningRate.toFixed(2)}`, canvas.width / 2, 50, 12, COLORS.text);
|
| 2002 |
}
|
| 2003 |
+
|
| 2004 |
function startDescent() {
|
| 2005 |
if (animating) return;
|
| 2006 |
animating = true;
|
| 2007 |
path = [{ x: 0.5, y: f(0.5) }];
|
| 2008 |
+
|
| 2009 |
const interval = setInterval(() => {
|
| 2010 |
const current = path[path.length - 1];
|
| 2011 |
const grad = df(current.x);
|
| 2012 |
const nextX = current.x - learningRate * grad;
|
| 2013 |
+
|
| 2014 |
if (Math.abs(grad) < 0.01 || path.length > 50) {
|
| 2015 |
clearInterval(interval);
|
| 2016 |
animating = false;
|
| 2017 |
return;
|
| 2018 |
}
|
| 2019 |
+
|
| 2020 |
path.push({ x: nextX, y: f(nextX) });
|
| 2021 |
draw();
|
| 2022 |
}, 200);
|
| 2023 |
}
|
| 2024 |
+
|
| 2025 |
const slider = document.getElementById('slider80');
|
| 2026 |
const label = document.getElementById('label80');
|
| 2027 |
const startBtn = document.getElementById('btn80start');
|
| 2028 |
const resetBtn = document.getElementById('btn80reset');
|
| 2029 |
+
|
| 2030 |
if (slider) {
|
| 2031 |
slider.addEventListener('input', (e) => {
|
| 2032 |
learningRate = parseFloat(e.target.value);
|
| 2033 |
if (label) label.textContent = learningRate.toFixed(2);
|
| 2034 |
});
|
| 2035 |
}
|
| 2036 |
+
|
| 2037 |
if (startBtn) {
|
| 2038 |
startBtn.addEventListener('click', startDescent);
|
| 2039 |
}
|
| 2040 |
+
|
| 2041 |
if (resetBtn) {
|
| 2042 |
resetBtn.addEventListener('click', () => {
|
| 2043 |
path = [];
|
|
|
|
| 2045 |
draw();
|
| 2046 |
});
|
| 2047 |
}
|
| 2048 |
+
|
| 2049 |
draw();
|
| 2050 |
}
|
| 2051 |
|
| 2052 |
function initLossLandscapeCanvas() {
|
| 2053 |
const canvas = document.getElementById('canvas-85');
|
| 2054 |
if (!canvas) return;
|
| 2055 |
+
|
| 2056 |
const ctx = canvas.getContext('2d');
|
| 2057 |
let lossType = 'mse';
|
| 2058 |
+
|
| 2059 |
function draw() {
|
| 2060 |
clearCanvas(ctx, canvas);
|
| 2061 |
+
|
| 2062 |
const padding = 60;
|
| 2063 |
const width = canvas.width - 2 * padding;
|
| 2064 |
const height = canvas.height - 2 * padding;
|
| 2065 |
+
|
| 2066 |
// True value
|
| 2067 |
const trueVal = 5;
|
| 2068 |
+
|
| 2069 |
// Draw axes
|
| 2070 |
drawLine(ctx, padding, canvas.height - padding, canvas.width - padding, canvas.height - padding, COLORS.text, 2);
|
| 2071 |
drawLine(ctx, padding, padding, padding, canvas.height - padding, COLORS.text, 2);
|
| 2072 |
+
|
| 2073 |
// Draw loss function
|
| 2074 |
ctx.beginPath();
|
| 2075 |
for (let pred = 0; pred <= 10; pred += 0.1) {
|
|
|
|
| 2082 |
// Simplified cross-entropy
|
| 2083 |
loss = -Math.log(Math.max(0.01, 1 - Math.abs(trueVal - pred) / 10));
|
| 2084 |
}
|
| 2085 |
+
|
| 2086 |
const px = padding + (pred / 10) * width;
|
| 2087 |
const py = canvas.height - padding - (loss / 30) * height;
|
| 2088 |
+
|
| 2089 |
if (pred === 0) {
|
| 2090 |
ctx.moveTo(px, py);
|
| 2091 |
} else {
|
|
|
|
| 2095 |
ctx.strokeStyle = COLORS.cyan;
|
| 2096 |
ctx.lineWidth = 3;
|
| 2097 |
ctx.stroke();
|
| 2098 |
+
|
| 2099 |
// Draw minimum
|
| 2100 |
const minX = padding + (trueVal / 10) * width;
|
| 2101 |
drawLine(ctx, minX, canvas.height - padding, minX, padding, COLORS.orange, 2);
|
| 2102 |
drawText(ctx, 'Minimum', minX + 10, padding + 20, 12, COLORS.orange);
|
| 2103 |
+
|
| 2104 |
const lossNames = {
|
| 2105 |
'mse': 'Mean Squared Error: (y - ŷ)²',
|
| 2106 |
'mae': 'Mean Absolute Error: |y - ŷ|',
|
| 2107 |
'cross': 'Cross-Entropy Loss'
|
| 2108 |
};
|
| 2109 |
+
|
| 2110 |
drawText(ctx, lossNames[lossType], canvas.width / 2, 30, 14, COLORS.cyan);
|
| 2111 |
drawText(ctx, 'Predicted Value →', canvas.width - 100, canvas.height - 30, 12, COLORS.text);
|
| 2112 |
drawText(ctx, 'Loss ↑', padding - 40, padding, 12, COLORS.text);
|
| 2113 |
}
|
| 2114 |
+
|
| 2115 |
const select = document.getElementById('select85');
|
| 2116 |
if (select) {
|
| 2117 |
select.addEventListener('change', (e) => {
|
|
|
|
| 2119 |
draw();
|
| 2120 |
});
|
| 2121 |
}
|
| 2122 |
+
|
| 2123 |
draw();
|
| 2124 |
}
|
| 2125 |
|
| 2126 |
+
// ========== SEARCH FUNCTIONALITY ==========
|
| 2127 |
+
function initSearch() {
|
| 2128 |
+
const searchInput = document.getElementById('globalSearch');
|
| 2129 |
+
const searchResults = document.getElementById('searchResults');
|
| 2130 |
+
|
| 2131 |
+
if (!searchInput || !searchResults) return;
|
| 2132 |
+
|
| 2133 |
+
// Build search index from all topics
|
| 2134 |
+
const searchIndex = [];
|
| 2135 |
+
document.querySelectorAll('.topic-section').forEach(section => {
|
| 2136 |
+
const id = section.id;
|
| 2137 |
+
const header = section.querySelector('h2');
|
| 2138 |
+
const subtitle = section.querySelector('.topic-subtitle');
|
| 2139 |
+
const content = section.textContent.substring(0, 500);
|
| 2140 |
+
const subject = section.dataset.subject || 'statistics';
|
| 2141 |
+
|
| 2142 |
+
if (header) {
|
| 2143 |
+
searchIndex.push({
|
| 2144 |
+
id: id,
|
| 2145 |
+
title: header.textContent,
|
| 2146 |
+
subtitle: subtitle ? subtitle.textContent : '',
|
| 2147 |
+
content: content,
|
| 2148 |
+
subject: subject
|
| 2149 |
+
});
|
| 2150 |
+
}
|
| 2151 |
+
});
|
| 2152 |
+
|
| 2153 |
+
searchInput.addEventListener('input', (e) => {
|
| 2154 |
+
const query = e.target.value.toLowerCase().trim();
|
| 2155 |
+
|
| 2156 |
+
if (query.length < 2) {
|
| 2157 |
+
searchResults.classList.remove('active');
|
| 2158 |
+
return;
|
| 2159 |
+
}
|
| 2160 |
+
|
| 2161 |
+
const results = searchIndex.filter(item =>
|
| 2162 |
+
item.title.toLowerCase().includes(query) ||
|
| 2163 |
+
item.subtitle.toLowerCase().includes(query) ||
|
| 2164 |
+
item.content.toLowerCase().includes(query)
|
| 2165 |
+
).slice(0, 8);
|
| 2166 |
+
|
| 2167 |
+
if (results.length === 0) {
|
| 2168 |
+
searchResults.innerHTML = '<div class="no-results">No topics found for "' + query + '"</div>';
|
| 2169 |
+
} else {
|
| 2170 |
+
searchResults.innerHTML = results.map(result => `
|
| 2171 |
+
<div class="search-result-item" data-topic-id="${result.id}" data-subject="${result.subject}">
|
| 2172 |
+
<div class="search-result-title">${highlightMatch(result.title, query)}</div>
|
| 2173 |
+
<div class="search-result-subject">${result.subject.replace('-', ' ')}</div>
|
| 2174 |
+
</div>
|
| 2175 |
+
`).join('');
|
| 2176 |
+
}
|
| 2177 |
+
|
| 2178 |
+
searchResults.classList.add('active');
|
| 2179 |
+
});
|
| 2180 |
+
|
| 2181 |
+
// Handle result clicks
|
| 2182 |
+
searchResults.addEventListener('click', (e) => {
|
| 2183 |
+
const item = e.target.closest('.search-result-item');
|
| 2184 |
+
if (item) {
|
| 2185 |
+
const topicId = item.dataset.topicId;
|
| 2186 |
+
const subject = item.dataset.subject;
|
| 2187 |
+
|
| 2188 |
+
// Switch to correct subject first
|
| 2189 |
+
switchSubject(subject);
|
| 2190 |
+
|
| 2191 |
+
// Then scroll to topic
|
| 2192 |
+
setTimeout(() => {
|
| 2193 |
+
const target = document.getElementById(topicId);
|
| 2194 |
+
if (target) {
|
| 2195 |
+
target.scrollIntoView({ behavior: 'smooth', block: 'start' });
|
| 2196 |
+
}
|
| 2197 |
+
}, 200);
|
| 2198 |
+
|
| 2199 |
+
searchResults.classList.remove('active');
|
| 2200 |
+
searchInput.value = '';
|
| 2201 |
+
}
|
| 2202 |
+
});
|
| 2203 |
+
|
| 2204 |
+
// Close on outside click
|
| 2205 |
+
document.addEventListener('click', (e) => {
|
| 2206 |
+
if (!searchInput.contains(e.target) && !searchResults.contains(e.target)) {
|
| 2207 |
+
searchResults.classList.remove('active');
|
| 2208 |
+
}
|
| 2209 |
+
});
|
| 2210 |
+
|
| 2211 |
+
// Close on Escape
|
| 2212 |
+
searchInput.addEventListener('keydown', (e) => {
|
| 2213 |
+
if (e.key === 'Escape') {
|
| 2214 |
+
searchResults.classList.remove('active');
|
| 2215 |
+
searchInput.blur();
|
| 2216 |
+
}
|
| 2217 |
+
});
|
| 2218 |
+
}
|
| 2219 |
+
|
| 2220 |
+
function highlightMatch(text, query) {
|
| 2221 |
+
const regex = new RegExp(`(${query})`, 'gi');
|
| 2222 |
+
return text.replace(regex, '<span class="search-highlight">$1</span>');
|
| 2223 |
+
}
|
| 2224 |
+
|
| 2225 |
+
// ========== PROGRESS TRACKING ==========
|
| 2226 |
+
const STORAGE_KEY = 'math_mastery_progress';
|
| 2227 |
+
|
| 2228 |
+
function initProgressTracking() {
|
| 2229 |
+
loadProgress();
|
| 2230 |
+
addCompletionButtons();
|
| 2231 |
+
updateProgressDisplay();
|
| 2232 |
+
}
|
| 2233 |
+
|
| 2234 |
+
function loadProgress() {
|
| 2235 |
+
try {
|
| 2236 |
+
const saved = localStorage.getItem(STORAGE_KEY);
|
| 2237 |
+
if (saved) {
|
| 2238 |
+
const completed = JSON.parse(saved);
|
| 2239 |
+
completed.forEach(topicId => {
|
| 2240 |
+
markTopicComplete(topicId, false);
|
| 2241 |
+
});
|
| 2242 |
+
}
|
| 2243 |
+
} catch (e) {
|
| 2244 |
+
console.warn('Could not load progress:', e);
|
| 2245 |
+
}
|
| 2246 |
+
}
|
| 2247 |
+
|
| 2248 |
+
function saveProgress() {
|
| 2249 |
+
try {
|
| 2250 |
+
const completed = [];
|
| 2251 |
+
document.querySelectorAll('.topic-complete-btn.completed').forEach(btn => {
|
| 2252 |
+
completed.push(btn.dataset.topicId);
|
| 2253 |
+
});
|
| 2254 |
+
localStorage.setItem(STORAGE_KEY, JSON.stringify(completed));
|
| 2255 |
+
} catch (e) {
|
| 2256 |
+
console.warn('Could not save progress:', e);
|
| 2257 |
+
}
|
| 2258 |
+
}
|
| 2259 |
+
|
| 2260 |
+
function addCompletionButtons() {
|
| 2261 |
+
document.querySelectorAll('.topic-section').forEach(section => {
|
| 2262 |
+
const topicId = section.id;
|
| 2263 |
+
const summaryCard = section.querySelector('.summary-card');
|
| 2264 |
+
|
| 2265 |
+
if (summaryCard && !section.querySelector('.topic-complete-btn')) {
|
| 2266 |
+
const btn = document.createElement('button');
|
| 2267 |
+
btn.className = 'topic-complete-btn';
|
| 2268 |
+
btn.dataset.topicId = topicId;
|
| 2269 |
+
btn.innerHTML = '<span class="check-icon"></span> Mark as Complete';
|
| 2270 |
+
|
| 2271 |
+
btn.addEventListener('click', () => {
|
| 2272 |
+
toggleTopicComplete(topicId);
|
| 2273 |
+
});
|
| 2274 |
+
|
| 2275 |
+
summaryCard.appendChild(btn);
|
| 2276 |
+
}
|
| 2277 |
+
});
|
| 2278 |
+
}
|
| 2279 |
+
|
| 2280 |
+
function toggleTopicComplete(topicId) {
|
| 2281 |
+
const btn = document.querySelector(`.topic-complete-btn[data-topic-id="${topicId}"]`);
|
| 2282 |
+
if (btn) {
|
| 2283 |
+
const isCompleted = btn.classList.toggle('completed');
|
| 2284 |
+
btn.innerHTML = isCompleted
|
| 2285 |
+
? '<span class="check-icon"></span> Completed!'
|
| 2286 |
+
: '<span class="check-icon"></span> Mark as Complete';
|
| 2287 |
+
|
| 2288 |
+
// Update sidebar link
|
| 2289 |
+
const sidebarLink = document.querySelector(`[data-topic="${topicId}"], [data-topic="${topicId.replace('topic-', '')}"]`);
|
| 2290 |
+
if (sidebarLink) {
|
| 2291 |
+
sidebarLink.classList.toggle('completed', isCompleted);
|
| 2292 |
+
}
|
| 2293 |
+
|
| 2294 |
+
saveProgress();
|
| 2295 |
+
updateProgressDisplay();
|
| 2296 |
+
}
|
| 2297 |
+
}
|
| 2298 |
+
|
| 2299 |
+
function markTopicComplete(topicId, save = true) {
|
| 2300 |
+
const btn = document.querySelector(`.topic-complete-btn[data-topic-id="${topicId}"]`);
|
| 2301 |
+
if (btn && !btn.classList.contains('completed')) {
|
| 2302 |
+
btn.classList.add('completed');
|
| 2303 |
+
btn.innerHTML = '<span class="check-icon"></span> Completed!';
|
| 2304 |
+
|
| 2305 |
+
const sidebarLink = document.querySelector(`[data-topic="${topicId}"], [data-topic="${topicId.replace('topic-', '')}"]`);
|
| 2306 |
+
if (sidebarLink) {
|
| 2307 |
+
sidebarLink.classList.add('completed');
|
| 2308 |
+
}
|
| 2309 |
+
|
| 2310 |
+
if (save) {
|
| 2311 |
+
saveProgress();
|
| 2312 |
+
updateProgressDisplay();
|
| 2313 |
+
}
|
| 2314 |
+
}
|
| 2315 |
+
}
|
| 2316 |
+
|
| 2317 |
+
function updateProgressDisplay() {
|
| 2318 |
+
// Progress bar removed - keeping function for compatibility
|
| 2319 |
+
// Can be used for console logging if needed
|
| 2320 |
+
}
|
| 2321 |
+
|
| 2322 |
+
// ========== ROBUST CANVAS INITIALIZATION ==========
|
| 2323 |
+
function ensureCanvasVisible(canvasId, callback) {
|
| 2324 |
+
const canvas = document.getElementById(canvasId);
|
| 2325 |
+
if (!canvas) return;
|
| 2326 |
+
|
| 2327 |
+
// Already initialized
|
| 2328 |
+
if (canvas.dataset.initialized === 'true') return;
|
| 2329 |
+
|
| 2330 |
+
// Check visibility
|
| 2331 |
+
if (canvas.offsetWidth === 0) {
|
| 2332 |
+
setTimeout(() => ensureCanvasVisible(canvasId, callback), 100);
|
| 2333 |
+
return;
|
| 2334 |
+
}
|
| 2335 |
+
|
| 2336 |
+
// Mark and execute
|
| 2337 |
+
canvas.dataset.initialized = 'true';
|
| 2338 |
+
callback();
|
| 2339 |
+
}
|
| 2340 |
+
|
| 2341 |
+
// ========== LAZY LOADING FOR VISUALIZATIONS ==========
|
| 2342 |
+
function initLazyLoading() {
|
| 2343 |
+
const observerOptions = {
|
| 2344 |
+
root: null,
|
| 2345 |
+
rootMargin: '100px',
|
| 2346 |
+
threshold: 0.1
|
| 2347 |
+
};
|
| 2348 |
+
|
| 2349 |
+
const lazyObserver = new IntersectionObserver((entries) => {
|
| 2350 |
+
entries.forEach(entry => {
|
| 2351 |
+
if (entry.isIntersecting) {
|
| 2352 |
+
const section = entry.target;
|
| 2353 |
+
const canvases = section.querySelectorAll('canvas:not([data-initialized="true"])');
|
| 2354 |
+
|
| 2355 |
+
canvases.forEach(canvas => {
|
| 2356 |
+
const initFn = canvas.dataset.initFn;
|
| 2357 |
+
if (initFn && window[initFn]) {
|
| 2358 |
+
ensureCanvasVisible(canvas.id, window[initFn]);
|
| 2359 |
+
}
|
| 2360 |
+
});
|
| 2361 |
+
|
| 2362 |
+
lazyObserver.unobserve(section);
|
| 2363 |
+
}
|
| 2364 |
+
});
|
| 2365 |
+
}, observerOptions);
|
| 2366 |
+
|
| 2367 |
+
document.querySelectorAll('.topic-section').forEach(section => {
|
| 2368 |
+
lazyObserver.observe(section);
|
| 2369 |
+
});
|
| 2370 |
+
}
|
| 2371 |
+
|
| 2372 |
+
// ========== INTERACTIVE ELEMENTS ==========
|
| 2373 |
+
function initInteractiveElements() {
|
| 2374 |
+
// Toggle visibility for practice answers
|
| 2375 |
+
document.querySelectorAll('.show-answers-btn').forEach(btn => {
|
| 2376 |
+
btn.addEventListener('click', () => {
|
| 2377 |
+
const answers = btn.nextElementSibling;
|
| 2378 |
+
if (answers && answers.classList.contains('practice-answers')) {
|
| 2379 |
+
const isHidden = answers.style.display === 'none' || !answers.style.display;
|
| 2380 |
+
answers.style.display = isHidden ? 'block' : 'none';
|
| 2381 |
+
btn.textContent = isHidden ? 'Hide Answers' : 'Show Answers';
|
| 2382 |
+
}
|
| 2383 |
+
});
|
| 2384 |
+
});
|
| 2385 |
+
|
| 2386 |
+
// Initialize formula tooltips
|
| 2387 |
+
document.querySelectorAll('.formula-var').forEach(el => {
|
| 2388 |
+
el.style.cursor = 'help';
|
| 2389 |
+
});
|
| 2390 |
+
}
|
| 2391 |
+
|
| 2392 |
+
// ========== KEYBOARD SHORTCUTS ==========
|
| 2393 |
+
function initKeyboardShortcuts() {
|
| 2394 |
+
document.addEventListener('keydown', (e) => {
|
| 2395 |
+
// Ctrl/Cmd + K for search
|
| 2396 |
+
if ((e.ctrlKey || e.metaKey) && e.key === 'k') {
|
| 2397 |
+
e.preventDefault();
|
| 2398 |
+
const searchInput = document.getElementById('globalSearch');
|
| 2399 |
+
if (searchInput) {
|
| 2400 |
+
searchInput.focus();
|
| 2401 |
+
}
|
| 2402 |
+
}
|
| 2403 |
+
|
| 2404 |
+
// Arrow keys for topic navigation
|
| 2405 |
+
if (e.altKey && (e.key === 'ArrowDown' || e.key === 'ArrowUp')) {
|
| 2406 |
+
e.preventDefault();
|
| 2407 |
+
navigateTopics(e.key === 'ArrowDown' ? 1 : -1);
|
| 2408 |
+
}
|
| 2409 |
+
});
|
| 2410 |
+
}
|
| 2411 |
+
|
| 2412 |
+
function navigateTopics(direction) {
|
| 2413 |
+
const visibleTopics = Array.from(document.querySelectorAll('.topic-section'))
|
| 2414 |
+
.filter(t => t.style.display !== 'none');
|
| 2415 |
+
|
| 2416 |
+
const currentActive = document.querySelector('.topic-link.active');
|
| 2417 |
+
let currentIndex = 0;
|
| 2418 |
+
|
| 2419 |
+
if (currentActive) {
|
| 2420 |
+
const currentId = currentActive.getAttribute('data-topic');
|
| 2421 |
+
currentIndex = visibleTopics.findIndex(t =>
|
| 2422 |
+
t.id === currentId || t.id === `topic-${currentId}`
|
| 2423 |
+
);
|
| 2424 |
+
}
|
| 2425 |
+
|
| 2426 |
+
const newIndex = Math.max(0, Math.min(visibleTopics.length - 1, currentIndex + direction));
|
| 2427 |
+
if (visibleTopics[newIndex]) {
|
| 2428 |
+
visibleTopics[newIndex].scrollIntoView({ behavior: 'smooth', block: 'start' });
|
| 2429 |
+
}
|
| 2430 |
+
}
|
| 2431 |
+
|
| 2432 |
console.log('%c📊 Ultimate Learning Platform Loaded', 'color: #64ffda; font-size: 16px; font-weight: bold;');
|
| 2433 |
console.log('%cReady to explore 125+ comprehensive topics across 5 subjects!', 'color: #4a90e2; font-size: 14px;');
|
| 2434 |
console.log('%c✓ Statistics (41) ✓ Linear Algebra (16) ✓ Calculus (12) ✓ Data Science (16) ✓ Machine Learning (40+)', 'color: #51cf66; font-size: 12px;');
|
math-ds-complete/index.html
CHANGED
|
The diff for this file is too large to render.
See raw diff
|
|
|
math-ds-complete/style.css
CHANGED
|
@@ -1,167 +1,251 @@
|
|
| 1 |
:root {
|
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| 145 |
}
|
| 146 |
|
| 147 |
/* Dark mode colors */
|
| 148 |
@media (prefers-color-scheme: dark) {
|
| 149 |
-
|
| 150 |
-
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| 151 |
--color-gray-400-rgb: 119, 124, 124;
|
| 152 |
--color-teal-300-rgb: 50, 184, 198;
|
| 153 |
--color-gray-300-rgb: 167, 169, 169;
|
| 154 |
--color-gray-200-rgb: 245, 245, 245;
|
| 155 |
|
| 156 |
-
/*
|
| 157 |
-
--color-bg-1: rgba(29, 78, 216, 0.15);
|
| 158 |
-
|
| 159 |
-
--color-bg-
|
| 160 |
-
|
| 161 |
-
--color-bg-
|
| 162 |
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|
| 163 |
-
--color-bg-
|
| 164 |
-
|
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|
| 165 |
|
| 166 |
/* Semantic Color Tokens (Dark Mode) */
|
| 167 |
--color-background: var(--color-charcoal-700);
|
|
@@ -181,11 +265,10 @@
|
|
| 181 |
--color-info: var(--color-gray-300);
|
| 182 |
--color-focus-ring: rgba(var(--color-teal-300-rgb), 0.4);
|
| 183 |
--color-btn-primary-text: var(--color-slate-900);
|
| 184 |
-
--color-card-border: rgba(var(--color-gray-400-rgb), 0.
|
| 185 |
--color-card-border-inner: rgba(var(--color-gray-400-rgb), 0.15);
|
| 186 |
--shadow-inset-sm: inset 0 1px 0 rgba(255, 255, 255, 0.1),
|
| 187 |
-
|
| 188 |
-
--button-border-secondary: rgba(var(--color-gray-400-rgb), 0.2);
|
| 189 |
--color-border-secondary: rgba(var(--color-gray-400-rgb), 0.2);
|
| 190 |
--color-select-caret: rgba(var(--color-gray-200-rgb), 0.8);
|
| 191 |
|
|
@@ -202,121 +285,62 @@
|
|
| 202 |
--color-error-rgb: var(--color-red-400-rgb);
|
| 203 |
--color-warning-rgb: var(--color-orange-400-rgb);
|
| 204 |
--color-info-rgb: var(--color-gray-300-rgb);
|
| 205 |
-
}
|
| 206 |
-
}
|
| 207 |
-
|
| 208 |
-
/* Data attribute for manual theme switching */
|
| 209 |
-
[data-color-scheme="dark"] {
|
| 210 |
-
/* RGB versions for opacity control (dark mode) */
|
| 211 |
-
--color-gray-400-rgb: 119, 124, 124;
|
| 212 |
-
--color-teal-300-rgb: 50, 184, 198;
|
| 213 |
-
--color-gray-300-rgb: 167, 169, 169;
|
| 214 |
-
--color-gray-200-rgb: 245, 245, 245;
|
| 215 |
-
|
| 216 |
-
/* Colorful background palette - Dark Mode */
|
| 217 |
-
--color-bg-1: rgba(29, 78, 216, 0.15); /* Dark blue */
|
| 218 |
-
--color-bg-2: rgba(180, 83, 9, 0.15); /* Dark yellow */
|
| 219 |
-
--color-bg-3: rgba(21, 128, 61, 0.15); /* Dark green */
|
| 220 |
-
--color-bg-4: rgba(185, 28, 28, 0.15); /* Dark red */
|
| 221 |
-
--color-bg-5: rgba(107, 33, 168, 0.15); /* Dark purple */
|
| 222 |
-
--color-bg-6: rgba(194, 65, 12, 0.15); /* Dark orange */
|
| 223 |
-
--color-bg-7: rgba(190, 24, 93, 0.15); /* Dark pink */
|
| 224 |
-
--color-bg-8: rgba(8, 145, 178, 0.15); /* Dark cyan */
|
| 225 |
-
|
| 226 |
-
/* Semantic Color Tokens (Dark Mode) */
|
| 227 |
-
--color-background: var(--color-charcoal-700);
|
| 228 |
-
--color-surface: var(--color-charcoal-800);
|
| 229 |
-
--color-text: var(--color-gray-200);
|
| 230 |
-
--color-text-secondary: rgba(var(--color-gray-300-rgb), 0.7);
|
| 231 |
-
--color-primary: var(--color-teal-300);
|
| 232 |
-
--color-primary-hover: var(--color-teal-400);
|
| 233 |
-
--color-primary-active: var(--color-teal-800);
|
| 234 |
-
--color-secondary: rgba(var(--color-gray-400-rgb), 0.15);
|
| 235 |
-
--color-secondary-hover: rgba(var(--color-gray-400-rgb), 0.25);
|
| 236 |
-
--color-secondary-active: rgba(var(--color-gray-400-rgb), 0.3);
|
| 237 |
-
--color-border: rgba(var(--color-gray-400-rgb), 0.3);
|
| 238 |
-
--color-error: var(--color-red-400);
|
| 239 |
-
--color-success: var(--color-teal-300);
|
| 240 |
-
--color-warning: var(--color-orange-400);
|
| 241 |
-
--color-info: var(--color-gray-300);
|
| 242 |
-
--color-focus-ring: rgba(var(--color-teal-300-rgb), 0.4);
|
| 243 |
-
--color-btn-primary-text: var(--color-slate-900);
|
| 244 |
-
--color-card-border: rgba(var(--color-gray-400-rgb), 0.15);
|
| 245 |
-
--color-card-border-inner: rgba(var(--color-gray-400-rgb), 0.15);
|
| 246 |
-
--shadow-inset-sm: inset 0 1px 0 rgba(255, 255, 255, 0.1),
|
| 247 |
-
inset 0 -1px 0 rgba(0, 0, 0, 0.15);
|
| 248 |
-
--color-border-secondary: rgba(var(--color-gray-400-rgb), 0.2);
|
| 249 |
-
--color-select-caret: rgba(var(--color-gray-200-rgb), 0.8);
|
| 250 |
-
|
| 251 |
-
/* Common style patterns - updated for dark mode */
|
| 252 |
-
--focus-ring: 0 0 0 3px var(--color-focus-ring);
|
| 253 |
-
--focus-outline: 2px solid var(--color-primary);
|
| 254 |
-
--status-bg-opacity: 0.15;
|
| 255 |
-
--status-border-opacity: 0.25;
|
| 256 |
-
--select-caret-light: url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='16' height='16' viewBox='0 0 24 24' fill='none' stroke='%23134252' stroke-width='2' stroke-linecap='round' stroke-linejoin='round'%3E%3Cpolyline points='6 9 12 15 18 9'%3E%3C/polyline%3E%3C/svg%3E");
|
| 257 |
-
--select-caret-dark: url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='16' height='16' viewBox='0 0 24 24' fill='none' stroke='%23f5f5f5' stroke-width='2' stroke-linecap='round' stroke-linejoin='round'%3E%3Cpolyline points='6 9 12 15 18 9'%3E%3C/polyline%3E%3C/svg%3E");
|
| 258 |
-
|
| 259 |
-
/* RGB versions for dark mode */
|
| 260 |
-
--color-success-rgb: var(--color-teal-300-rgb);
|
| 261 |
-
--color-error-rgb: var(--color-red-400-rgb);
|
| 262 |
-
--color-warning-rgb: var(--color-orange-400-rgb);
|
| 263 |
-
--color-info-rgb: var(--color-gray-300-rgb);
|
| 264 |
}
|
| 265 |
|
| 266 |
[data-color-scheme="light"] {
|
| 267 |
-
|
| 268 |
-
|
| 269 |
-
|
| 270 |
-
|
| 271 |
-
|
| 272 |
-
|
| 273 |
-
|
| 274 |
-
|
| 275 |
-
|
| 276 |
-
|
| 277 |
-
|
| 278 |
-
|
| 279 |
-
|
| 280 |
-
|
| 281 |
-
|
| 282 |
-
|
| 283 |
-
|
| 284 |
-
|
| 285 |
-
|
| 286 |
-
|
| 287 |
-
|
| 288 |
-
|
| 289 |
-
|
| 290 |
-
|
| 291 |
-
|
| 292 |
-
|
| 293 |
-
|
| 294 |
-
|
| 295 |
-
|
| 296 |
-
|
| 297 |
-
|
| 298 |
}
|
| 299 |
|
| 300 |
/* Base styles */
|
| 301 |
html {
|
| 302 |
-
|
| 303 |
-
|
| 304 |
-
|
| 305 |
-
|
| 306 |
-
|
| 307 |
-
|
| 308 |
-
|
| 309 |
}
|
| 310 |
|
| 311 |
body {
|
| 312 |
-
|
| 313 |
-
|
| 314 |
}
|
| 315 |
|
| 316 |
*,
|
| 317 |
*::before,
|
| 318 |
*::after {
|
| 319 |
-
|
| 320 |
}
|
| 321 |
|
| 322 |
/* Typography */
|
|
@@ -326,415 +350,426 @@ h3,
|
|
| 326 |
h4,
|
| 327 |
h5,
|
| 328 |
h6 {
|
| 329 |
-
|
| 330 |
-
|
| 331 |
-
|
| 332 |
-
|
| 333 |
-
|
| 334 |
}
|
| 335 |
|
| 336 |
h1 {
|
| 337 |
-
|
| 338 |
}
|
|
|
|
| 339 |
h2 {
|
| 340 |
-
|
| 341 |
}
|
|
|
|
| 342 |
h3 {
|
| 343 |
-
|
| 344 |
}
|
|
|
|
| 345 |
h4 {
|
| 346 |
-
|
| 347 |
}
|
|
|
|
| 348 |
h5 {
|
| 349 |
-
|
| 350 |
}
|
|
|
|
| 351 |
h6 {
|
| 352 |
-
|
| 353 |
}
|
| 354 |
|
| 355 |
p {
|
| 356 |
-
|
| 357 |
}
|
| 358 |
|
| 359 |
a {
|
| 360 |
-
|
| 361 |
-
|
| 362 |
-
|
| 363 |
}
|
| 364 |
|
| 365 |
a:hover {
|
| 366 |
-
|
| 367 |
}
|
| 368 |
|
| 369 |
code,
|
| 370 |
pre {
|
| 371 |
-
|
| 372 |
-
|
| 373 |
-
|
| 374 |
-
|
| 375 |
}
|
| 376 |
|
| 377 |
code {
|
| 378 |
-
|
| 379 |
}
|
| 380 |
|
| 381 |
pre {
|
| 382 |
-
|
| 383 |
-
|
| 384 |
-
|
| 385 |
-
|
| 386 |
}
|
| 387 |
|
| 388 |
pre code {
|
| 389 |
-
|
| 390 |
-
|
| 391 |
}
|
| 392 |
|
| 393 |
/* Buttons */
|
| 394 |
.btn {
|
| 395 |
-
|
| 396 |
-
|
| 397 |
-
|
| 398 |
-
|
| 399 |
-
|
| 400 |
-
|
| 401 |
-
|
| 402 |
-
|
| 403 |
-
|
| 404 |
-
|
| 405 |
-
|
| 406 |
-
|
| 407 |
-
|
| 408 |
}
|
| 409 |
|
| 410 |
.btn:focus-visible {
|
| 411 |
-
|
| 412 |
-
|
| 413 |
}
|
| 414 |
|
| 415 |
.btn--primary {
|
| 416 |
-
|
| 417 |
-
|
| 418 |
}
|
| 419 |
|
| 420 |
.btn--primary:hover {
|
| 421 |
-
|
| 422 |
}
|
| 423 |
|
| 424 |
.btn--primary:active {
|
| 425 |
-
|
| 426 |
}
|
| 427 |
|
| 428 |
.btn--secondary {
|
| 429 |
-
|
| 430 |
-
|
| 431 |
}
|
| 432 |
|
| 433 |
.btn--secondary:hover {
|
| 434 |
-
|
| 435 |
}
|
| 436 |
|
| 437 |
.btn--secondary:active {
|
| 438 |
-
|
| 439 |
}
|
| 440 |
|
| 441 |
.btn--outline {
|
| 442 |
-
|
| 443 |
-
|
| 444 |
-
|
| 445 |
}
|
| 446 |
|
| 447 |
.btn--outline:hover {
|
| 448 |
-
|
| 449 |
}
|
| 450 |
|
| 451 |
.btn--sm {
|
| 452 |
-
|
| 453 |
-
|
| 454 |
-
|
| 455 |
}
|
| 456 |
|
| 457 |
.btn--lg {
|
| 458 |
-
|
| 459 |
-
|
| 460 |
-
|
| 461 |
}
|
| 462 |
|
| 463 |
.btn--full-width {
|
| 464 |
-
|
| 465 |
}
|
| 466 |
|
| 467 |
.btn:disabled {
|
| 468 |
-
|
| 469 |
-
|
| 470 |
}
|
| 471 |
|
| 472 |
/* Form elements */
|
| 473 |
.form-control {
|
| 474 |
-
|
| 475 |
-
|
| 476 |
-
|
| 477 |
-
|
| 478 |
-
|
| 479 |
-
|
| 480 |
-
|
| 481 |
-
|
| 482 |
-
|
| 483 |
-
|
| 484 |
-
|
| 485 |
}
|
| 486 |
|
| 487 |
textarea.form-control {
|
| 488 |
-
|
| 489 |
-
|
| 490 |
}
|
| 491 |
|
| 492 |
select.form-control {
|
| 493 |
-
|
| 494 |
-
|
| 495 |
-
|
| 496 |
-
|
| 497 |
-
|
| 498 |
-
|
| 499 |
-
|
| 500 |
-
|
| 501 |
-
|
| 502 |
}
|
| 503 |
|
| 504 |
/* Add a dark mode specific caret */
|
| 505 |
@media (prefers-color-scheme: dark) {
|
| 506 |
-
|
| 507 |
-
|
| 508 |
-
|
| 509 |
}
|
| 510 |
|
| 511 |
/* Also handle data-color-scheme */
|
| 512 |
[data-color-scheme="dark"] select.form-control {
|
| 513 |
-
|
| 514 |
}
|
| 515 |
|
| 516 |
[data-color-scheme="light"] select.form-control {
|
| 517 |
-
|
| 518 |
}
|
| 519 |
|
| 520 |
.form-control:focus {
|
| 521 |
-
|
| 522 |
-
|
| 523 |
}
|
| 524 |
|
| 525 |
.form-label {
|
| 526 |
-
|
| 527 |
-
|
| 528 |
-
|
| 529 |
-
|
| 530 |
}
|
| 531 |
|
| 532 |
.form-group {
|
| 533 |
-
|
| 534 |
}
|
| 535 |
|
| 536 |
/* Card component */
|
| 537 |
.card {
|
| 538 |
-
|
| 539 |
-
|
| 540 |
-
|
| 541 |
-
|
| 542 |
-
|
| 543 |
-
|
| 544 |
}
|
| 545 |
|
| 546 |
.card:hover {
|
| 547 |
-
|
| 548 |
}
|
| 549 |
|
| 550 |
.card__body {
|
| 551 |
-
|
| 552 |
}
|
| 553 |
|
| 554 |
.card__header,
|
| 555 |
.card__footer {
|
| 556 |
-
|
| 557 |
-
|
| 558 |
}
|
| 559 |
|
| 560 |
/* Status indicators - simplified with CSS variables */
|
| 561 |
.status {
|
| 562 |
-
|
| 563 |
-
|
| 564 |
-
|
| 565 |
-
|
| 566 |
-
|
| 567 |
-
|
| 568 |
}
|
| 569 |
|
| 570 |
.status--success {
|
| 571 |
-
|
| 572 |
-
|
| 573 |
-
var(--
|
| 574 |
-
|
| 575 |
-
color: var(--color-success);
|
| 576 |
-
border: 1px solid
|
| 577 |
-
rgba(var(--color-success-rgb, 33, 128, 141), var(--status-border-opacity));
|
| 578 |
}
|
| 579 |
|
| 580 |
.status--error {
|
| 581 |
-
|
| 582 |
-
|
| 583 |
-
var(--
|
| 584 |
-
|
| 585 |
-
color: var(--color-error);
|
| 586 |
-
border: 1px solid
|
| 587 |
-
rgba(var(--color-error-rgb, 192, 21, 47), var(--status-border-opacity));
|
| 588 |
}
|
| 589 |
|
| 590 |
.status--warning {
|
| 591 |
-
|
| 592 |
-
|
| 593 |
-
var(--
|
| 594 |
-
|
| 595 |
-
color: var(--color-warning);
|
| 596 |
-
border: 1px solid
|
| 597 |
-
rgba(var(--color-warning-rgb, 168, 75, 47), var(--status-border-opacity));
|
| 598 |
}
|
| 599 |
|
| 600 |
.status--info {
|
| 601 |
-
|
| 602 |
-
|
| 603 |
-
var(--
|
| 604 |
-
|
| 605 |
-
color: var(--color-info);
|
| 606 |
-
border: 1px solid
|
| 607 |
-
rgba(var(--color-info-rgb, 98, 108, 113), var(--status-border-opacity));
|
| 608 |
}
|
| 609 |
|
| 610 |
/* Container layout */
|
| 611 |
.container {
|
| 612 |
-
|
| 613 |
-
|
| 614 |
-
|
| 615 |
-
|
| 616 |
-
|
| 617 |
}
|
| 618 |
|
| 619 |
@media (min-width: 640px) {
|
| 620 |
-
|
| 621 |
-
|
| 622 |
-
|
| 623 |
}
|
|
|
|
| 624 |
@media (min-width: 768px) {
|
| 625 |
-
|
| 626 |
-
|
| 627 |
-
|
| 628 |
}
|
|
|
|
| 629 |
@media (min-width: 1024px) {
|
| 630 |
-
|
| 631 |
-
|
| 632 |
-
|
| 633 |
}
|
|
|
|
| 634 |
@media (min-width: 1280px) {
|
| 635 |
-
|
| 636 |
-
|
| 637 |
-
|
| 638 |
}
|
| 639 |
|
| 640 |
/* Utility classes */
|
| 641 |
.flex {
|
| 642 |
-
|
| 643 |
}
|
|
|
|
| 644 |
.flex-col {
|
| 645 |
-
|
| 646 |
}
|
|
|
|
| 647 |
.items-center {
|
| 648 |
-
|
| 649 |
}
|
|
|
|
| 650 |
.justify-center {
|
| 651 |
-
|
| 652 |
}
|
|
|
|
| 653 |
.justify-between {
|
| 654 |
-
|
| 655 |
}
|
|
|
|
| 656 |
.gap-4 {
|
| 657 |
-
|
| 658 |
}
|
|
|
|
| 659 |
.gap-8 {
|
| 660 |
-
|
| 661 |
}
|
|
|
|
| 662 |
.gap-16 {
|
| 663 |
-
|
| 664 |
}
|
| 665 |
|
| 666 |
.m-0 {
|
| 667 |
-
|
| 668 |
}
|
|
|
|
| 669 |
.mt-8 {
|
| 670 |
-
|
| 671 |
}
|
|
|
|
| 672 |
.mb-8 {
|
| 673 |
-
|
| 674 |
}
|
|
|
|
| 675 |
.mx-8 {
|
| 676 |
-
|
| 677 |
-
|
| 678 |
}
|
|
|
|
| 679 |
.my-8 {
|
| 680 |
-
|
| 681 |
-
|
| 682 |
}
|
| 683 |
|
| 684 |
.p-0 {
|
| 685 |
-
|
| 686 |
}
|
|
|
|
| 687 |
.py-8 {
|
| 688 |
-
|
| 689 |
-
|
| 690 |
}
|
|
|
|
| 691 |
.px-8 {
|
| 692 |
-
|
| 693 |
-
|
| 694 |
}
|
|
|
|
| 695 |
.py-16 {
|
| 696 |
-
|
| 697 |
-
|
| 698 |
}
|
|
|
|
| 699 |
.px-16 {
|
| 700 |
-
|
| 701 |
-
|
| 702 |
}
|
| 703 |
|
| 704 |
.block {
|
| 705 |
-
|
| 706 |
}
|
|
|
|
| 707 |
.hidden {
|
| 708 |
-
|
| 709 |
}
|
| 710 |
|
| 711 |
/* Accessibility */
|
| 712 |
.sr-only {
|
| 713 |
-
|
| 714 |
-
|
| 715 |
-
|
| 716 |
-
|
| 717 |
-
|
| 718 |
-
|
| 719 |
-
|
| 720 |
-
|
| 721 |
-
|
| 722 |
}
|
| 723 |
|
| 724 |
:focus-visible {
|
| 725 |
-
|
| 726 |
-
|
| 727 |
}
|
| 728 |
|
| 729 |
/* Dark mode specifics */
|
| 730 |
[data-color-scheme="dark"] .btn--outline {
|
| 731 |
-
|
| 732 |
}
|
| 733 |
|
| 734 |
@font-face {
|
| 735 |
-
|
| 736 |
-
|
| 737 |
-
format('woff2');
|
| 738 |
}
|
| 739 |
|
| 740 |
/* END PERPLEXITY DESIGN SYSTEM */
|
|
@@ -1335,6 +1370,7 @@ body {
|
|
| 1335 |
background: #0f3460;
|
| 1336 |
outline: none;
|
| 1337 |
-webkit-appearance: none;
|
|
|
|
| 1338 |
}
|
| 1339 |
|
| 1340 |
.slider::-webkit-slider-thumb {
|
|
@@ -1653,11 +1689,12 @@ body {
|
|
| 1653 |
flex-wrap: wrap;
|
| 1654 |
gap: 0.5rem;
|
| 1655 |
}
|
| 1656 |
-
|
| 1657 |
.subject-tab {
|
| 1658 |
font-size: 0.8rem;
|
| 1659 |
padding: 0.5rem 1rem;
|
| 1660 |
}
|
|
|
|
| 1661 |
.main-container {
|
| 1662 |
flex-direction: column;
|
| 1663 |
}
|
|
@@ -1728,11 +1765,11 @@ body {
|
|
| 1728 |
padding: 30px;
|
| 1729 |
margin: 40px 0;
|
| 1730 |
border-left: 5px solid #64ffda;
|
| 1731 |
-
box-shadow: 0 8px 16px rgba(0,0,0,0.3);
|
| 1732 |
}
|
| 1733 |
|
| 1734 |
.example-problem {
|
| 1735 |
-
background: rgba(255,255,255,0.08);
|
| 1736 |
padding: 25px;
|
| 1737 |
border-radius: 10px;
|
| 1738 |
margin-bottom: 30px;
|
|
@@ -1751,14 +1788,14 @@ body {
|
|
| 1751 |
gap: 20px;
|
| 1752 |
margin: 25px 0;
|
| 1753 |
padding: 25px;
|
| 1754 |
-
background: rgba(0,0,0,0.3);
|
| 1755 |
border-radius: 10px;
|
| 1756 |
border-left: 4px solid #4a90e2;
|
| 1757 |
transition: all 0.3s ease;
|
| 1758 |
}
|
| 1759 |
|
| 1760 |
.solution-step:hover {
|
| 1761 |
-
background: rgba(0,0,0,0.4);
|
| 1762 |
border-left-width: 6px;
|
| 1763 |
transform: translateX(5px);
|
| 1764 |
}
|
|
@@ -1783,7 +1820,7 @@ body {
|
|
| 1783 |
}
|
| 1784 |
|
| 1785 |
.step-work {
|
| 1786 |
-
background: rgba(0,0,0,0.4);
|
| 1787 |
padding: 18px;
|
| 1788 |
border-radius: 8px;
|
| 1789 |
margin: 12px 0;
|
|
@@ -1811,7 +1848,7 @@ body {
|
|
| 1811 |
width: 100%;
|
| 1812 |
border-collapse: collapse;
|
| 1813 |
margin: 15px 0;
|
| 1814 |
-
background: rgba(0,0,0,0.2);
|
| 1815 |
border-radius: 8px;
|
| 1816 |
overflow: hidden;
|
| 1817 |
}
|
|
@@ -1819,7 +1856,7 @@ body {
|
|
| 1819 |
.calculation-table th,
|
| 1820 |
.calculation-table td {
|
| 1821 |
padding: 12px;
|
| 1822 |
-
border: 1px solid rgba(255,255,255,0.1);
|
| 1823 |
text-align: center;
|
| 1824 |
}
|
| 1825 |
|
|
@@ -1840,7 +1877,7 @@ body {
|
|
| 1840 |
margin-top: 30px;
|
| 1841 |
text-align: center;
|
| 1842 |
font-size: 18px;
|
| 1843 |
-
box-shadow: 0 4px 12px rgba(81,207,102,0.3);
|
| 1844 |
}
|
| 1845 |
|
| 1846 |
.answer-highlight {
|
|
@@ -1849,7 +1886,7 @@ body {
|
|
| 1849 |
color: white;
|
| 1850 |
display: block;
|
| 1851 |
margin-top: 12px;
|
| 1852 |
-
text-shadow: 2px 2px 4px rgba(0,0,0,0.3);
|
| 1853 |
}
|
| 1854 |
|
| 1855 |
.verification {
|
|
@@ -1914,7 +1951,7 @@ body {
|
|
| 1914 |
}
|
| 1915 |
|
| 1916 |
.practice-answers {
|
| 1917 |
-
background: rgba(0,0,0,0.3);
|
| 1918 |
padding: 20px;
|
| 1919 |
border-radius: 8px;
|
| 1920 |
margin-top: 15px;
|
|
@@ -1932,9 +1969,12 @@ body {
|
|
| 1932 |
|
| 1933 |
/* Animations */
|
| 1934 |
@keyframes pulse {
|
| 1935 |
-
|
|
|
|
|
|
|
| 1936 |
opacity: 1;
|
| 1937 |
}
|
|
|
|
| 1938 |
50% {
|
| 1939 |
opacity: 0.5;
|
| 1940 |
}
|
|
@@ -1964,4 +2004,362 @@ body {
|
|
| 1964 |
/* Smooth Transitions */
|
| 1965 |
* {
|
| 1966 |
transition: background-color 0.3s ease, color 0.3s ease, border-color 0.3s ease;
|
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|
| 1967 |
}
|
|
|
|
| 1 |
:root {
|
| 2 |
+
/* Primitive Color Tokens */
|
| 3 |
+
--color-white: rgba(255, 255, 255, 1);
|
| 4 |
+
--color-black: rgba(0, 0, 0, 1);
|
| 5 |
+
--color-cream-50: rgba(252, 252, 249, 1);
|
| 6 |
+
--color-cream-100: rgba(255, 255, 253, 1);
|
| 7 |
+
--color-gray-200: rgba(245, 245, 245, 1);
|
| 8 |
+
--color-gray-300: rgba(167, 169, 169, 1);
|
| 9 |
+
--color-gray-400: rgba(119, 124, 124, 1);
|
| 10 |
+
--color-slate-500: rgba(98, 108, 113, 1);
|
| 11 |
+
--color-brown-600: rgba(94, 82, 64, 1);
|
| 12 |
+
--color-charcoal-700: rgba(31, 33, 33, 1);
|
| 13 |
+
--color-charcoal-800: rgba(38, 40, 40, 1);
|
| 14 |
+
--color-slate-900: rgba(19, 52, 59, 1);
|
| 15 |
+
--color-teal-300: rgba(50, 184, 198, 1);
|
| 16 |
+
--color-teal-400: rgba(45, 166, 178, 1);
|
| 17 |
+
--color-teal-500: rgba(33, 128, 141, 1);
|
| 18 |
+
--color-teal-600: rgba(29, 116, 128, 1);
|
| 19 |
+
--color-teal-700: rgba(26, 104, 115, 1);
|
| 20 |
+
--color-teal-800: rgba(41, 150, 161, 1);
|
| 21 |
+
--color-red-400: rgba(255, 84, 89, 1);
|
| 22 |
+
--color-red-500: rgba(192, 21, 47, 1);
|
| 23 |
+
--color-orange-400: rgba(230, 129, 97, 1);
|
| 24 |
+
--color-orange-500: rgba(168, 75, 47, 1);
|
| 25 |
+
|
| 26 |
+
/* RGB versions for opacity control */
|
| 27 |
+
--color-brown-600-rgb: 94, 82, 64;
|
| 28 |
+
--color-teal-500-rgb: 33, 128, 141;
|
| 29 |
+
--color-slate-900-rgb: 19, 52, 59;
|
| 30 |
+
--color-slate-500-rgb: 98, 108, 113;
|
| 31 |
+
--color-red-500-rgb: 192, 21, 47;
|
| 32 |
+
--color-red-400-rgb: 255, 84, 89;
|
| 33 |
+
--color-orange-500-rgb: 168, 75, 47;
|
| 34 |
+
--color-orange-400-rgb: 230, 129, 97;
|
| 35 |
+
|
| 36 |
+
/* Background color tokens (Light Mode) */
|
| 37 |
+
--color-bg-1: rgba(59, 130, 246, 0.08);
|
| 38 |
+
/* Light blue */
|
| 39 |
+
--color-bg-2: rgba(245, 158, 11, 0.08);
|
| 40 |
+
/* Light yellow */
|
| 41 |
+
--color-bg-3: rgba(34, 197, 94, 0.08);
|
| 42 |
+
/* Light green */
|
| 43 |
+
--color-bg-4: rgba(239, 68, 68, 0.08);
|
| 44 |
+
/* Light red */
|
| 45 |
+
--color-bg-5: rgba(147, 51, 234, 0.08);
|
| 46 |
+
/* Light purple */
|
| 47 |
+
--color-bg-6: rgba(249, 115, 22, 0.08);
|
| 48 |
+
/* Light orange */
|
| 49 |
+
--color-bg-7: rgba(236, 72, 153, 0.08);
|
| 50 |
+
/* Light pink */
|
| 51 |
+
--color-bg-8: rgba(6, 182, 212, 0.08);
|
| 52 |
+
/* Light cyan */
|
| 53 |
+
|
| 54 |
+
/* Semantic Color Tokens (Light Mode) */
|
| 55 |
+
--color-background: var(--color-cream-50);
|
| 56 |
+
--color-surface: var(--color-cream-100);
|
| 57 |
+
--color-text: var(--color-slate-900);
|
| 58 |
+
--color-text-secondary: var(--color-slate-500);
|
| 59 |
+
--color-primary: var(--color-teal-500);
|
| 60 |
+
--color-primary-hover: var(--color-teal-600);
|
| 61 |
+
--color-primary-active: var(--color-teal-700);
|
| 62 |
+
--color-secondary: rgba(var(--color-brown-600-rgb), 0.12);
|
| 63 |
+
--color-secondary-hover: rgba(var(--color-brown-600-rgb), 0.2);
|
| 64 |
+
--color-secondary-active: rgba(var(--color-brown-600-rgb), 0.25);
|
| 65 |
+
--color-border: rgba(var(--color-brown-600-rgb), 0.2);
|
| 66 |
+
--color-btn-primary-text: var(--color-cream-50);
|
| 67 |
+
--color-card-border: rgba(var(--color-brown-600-rgb), 0.12);
|
| 68 |
+
--color-card-border-inner: rgba(var(--color-brown-600-rgb), 0.12);
|
| 69 |
+
--color-error: var(--color-red-500);
|
| 70 |
+
--color-success: var(--color-teal-500);
|
| 71 |
+
--color-warning: var(--color-orange-500);
|
| 72 |
+
--color-info: var(--color-slate-500);
|
| 73 |
+
--color-focus-ring: rgba(var(--color-teal-500-rgb), 0.4);
|
| 74 |
+
--color-select-caret: rgba(var(--color-slate-900-rgb), 0.8);
|
| 75 |
+
|
| 76 |
+
/* Common style patterns */
|
| 77 |
+
--focus-ring: 0 0 0 3px var(--color-focus-ring);
|
| 78 |
+
--focus-outline: 2px solid var(--color-primary);
|
| 79 |
+
--status-bg-opacity: 0.15;
|
| 80 |
+
--status-border-opacity: 0.25;
|
| 81 |
+
--select-caret-light: url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='16' height='16' viewBox='0 0 24 24' fill='none' stroke='%23134252' stroke-width='2' stroke-linecap='round' stroke-linejoin='round'%3E%3Cpolyline points='6 9 12 15 18 9'%3E%3C/polyline%3E%3C/svg%3E");
|
| 82 |
+
--select-caret-dark: url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='16' height='16' viewBox='0 0 24 24' fill='none' stroke='%23f5f5f5' stroke-width='2' stroke-linecap='round' stroke-linejoin='round'%3E%3Cpolyline points='6 9 12 15 18 9'%3E%3C/polyline%3E%3C/svg%3E");
|
| 83 |
+
|
| 84 |
+
/* RGB versions for opacity control */
|
| 85 |
+
--color-success-rgb: 33, 128, 141;
|
| 86 |
+
--color-error-rgb: 192, 21, 47;
|
| 87 |
+
--color-warning-rgb: 168, 75, 47;
|
| 88 |
+
--color-info-rgb: 98, 108, 113;
|
| 89 |
+
|
| 90 |
+
/* Typography */
|
| 91 |
+
--font-family-base: "FKGroteskNeue", "Geist", "Inter", -apple-system,
|
| 92 |
+
BlinkMacSystemFont, "Segoe UI", Roboto, sans-serif;
|
| 93 |
+
--font-family-mono: "Berkeley Mono", ui-monospace, SFMono-Regular, Menlo,
|
| 94 |
+
Monaco, Consolas, monospace;
|
| 95 |
+
--font-size-xs: 11px;
|
| 96 |
+
--font-size-sm: 12px;
|
| 97 |
+
--font-size-base: 14px;
|
| 98 |
+
--font-size-md: 14px;
|
| 99 |
+
--font-size-lg: 16px;
|
| 100 |
+
--font-size-xl: 18px;
|
| 101 |
+
--font-size-2xl: 20px;
|
| 102 |
+
--font-size-3xl: 24px;
|
| 103 |
+
--font-size-4xl: 30px;
|
| 104 |
+
--font-weight-normal: 400;
|
| 105 |
+
--font-weight-medium: 500;
|
| 106 |
+
--font-weight-semibold: 550;
|
| 107 |
+
--font-weight-bold: 600;
|
| 108 |
+
--line-height-tight: 1.2;
|
| 109 |
+
--line-height-normal: 1.5;
|
| 110 |
+
--letter-spacing-tight: -0.01em;
|
| 111 |
+
|
| 112 |
+
/* Spacing */
|
| 113 |
+
--space-0: 0;
|
| 114 |
+
--space-1: 1px;
|
| 115 |
+
--space-2: 2px;
|
| 116 |
+
--space-4: 4px;
|
| 117 |
+
--space-6: 6px;
|
| 118 |
+
--space-8: 8px;
|
| 119 |
+
--space-10: 10px;
|
| 120 |
+
--space-12: 12px;
|
| 121 |
+
--space-16: 16px;
|
| 122 |
+
--space-20: 20px;
|
| 123 |
+
--space-24: 24px;
|
| 124 |
+
--space-32: 32px;
|
| 125 |
+
|
| 126 |
+
/* Border Radius */
|
| 127 |
+
--radius-sm: 6px;
|
| 128 |
+
--radius-base: 8px;
|
| 129 |
+
--radius-md: 10px;
|
| 130 |
+
--radius-lg: 12px;
|
| 131 |
+
--radius-full: 9999px;
|
| 132 |
+
|
| 133 |
+
/* Shadows */
|
| 134 |
+
--shadow-xs: 0 1px 2px rgba(0, 0, 0, 0.02);
|
| 135 |
+
--shadow-sm: 0 1px 3px rgba(0, 0, 0, 0.04), 0 1px 2px rgba(0, 0, 0, 0.02);
|
| 136 |
+
--shadow-md: 0 4px 6px -1px rgba(0, 0, 0, 0.04),
|
| 137 |
+
0 2px 4px -1px rgba(0, 0, 0, 0.02);
|
| 138 |
+
--shadow-lg: 0 10px 15px -3px rgba(0, 0, 0, 0.04),
|
| 139 |
+
0 4px 6px -2px rgba(0, 0, 0, 0.02);
|
| 140 |
+
--shadow-inset-sm: inset 0 1px 0 rgba(255, 255, 255, 0.15),
|
| 141 |
+
inset 0 -1px 0 rgba(0, 0, 0, 0.03);
|
| 142 |
+
|
| 143 |
+
/* Animation */
|
| 144 |
+
--duration-fast: 150ms;
|
| 145 |
+
--duration-normal: 250ms;
|
| 146 |
+
--ease-standard: cubic-bezier(0.16, 1, 0.3, 1);
|
| 147 |
+
|
| 148 |
+
/* Layout */
|
| 149 |
+
--container-sm: 640px;
|
| 150 |
+
--container-md: 768px;
|
| 151 |
+
--container-lg: 1024px;
|
| 152 |
+
--container-xl: 1280px;
|
| 153 |
}
|
| 154 |
|
| 155 |
/* Dark mode colors */
|
| 156 |
@media (prefers-color-scheme: dark) {
|
| 157 |
+
:root {
|
| 158 |
+
/* RGB versions for opacity control (Dark Mode) */
|
| 159 |
+
--color-gray-400-rgb: 119, 124, 124;
|
| 160 |
+
--color-teal-300-rgb: 50, 184, 198;
|
| 161 |
+
--color-gray-300-rgb: 167, 169, 169;
|
| 162 |
+
--color-gray-200-rgb: 245, 245, 245;
|
| 163 |
+
|
| 164 |
+
/* Background color tokens (Dark Mode) */
|
| 165 |
+
--color-bg-1: rgba(29, 78, 216, 0.15);
|
| 166 |
+
/* Dark blue */
|
| 167 |
+
--color-bg-2: rgba(180, 83, 9, 0.15);
|
| 168 |
+
/* Dark yellow */
|
| 169 |
+
--color-bg-3: rgba(21, 128, 61, 0.15);
|
| 170 |
+
/* Dark green */
|
| 171 |
+
--color-bg-4: rgba(185, 28, 28, 0.15);
|
| 172 |
+
/* Dark red */
|
| 173 |
+
--color-bg-5: rgba(107, 33, 168, 0.15);
|
| 174 |
+
/* Dark purple */
|
| 175 |
+
--color-bg-6: rgba(194, 65, 12, 0.15);
|
| 176 |
+
/* Dark orange */
|
| 177 |
+
--color-bg-7: rgba(190, 24, 93, 0.15);
|
| 178 |
+
/* Dark pink */
|
| 179 |
+
--color-bg-8: rgba(8, 145, 178, 0.15);
|
| 180 |
+
/* Dark cyan */
|
| 181 |
+
|
| 182 |
+
/* Semantic Color Tokens (Dark Mode) */
|
| 183 |
+
--color-background: var(--color-charcoal-700);
|
| 184 |
+
--color-surface: var(--color-charcoal-800);
|
| 185 |
+
--color-text: var(--color-gray-200);
|
| 186 |
+
--color-text-secondary: rgba(var(--color-gray-300-rgb), 0.7);
|
| 187 |
+
--color-primary: var(--color-teal-300);
|
| 188 |
+
--color-primary-hover: var(--color-teal-400);
|
| 189 |
+
--color-primary-active: var(--color-teal-800);
|
| 190 |
+
--color-secondary: rgba(var(--color-gray-400-rgb), 0.15);
|
| 191 |
+
--color-secondary-hover: rgba(var(--color-gray-400-rgb), 0.25);
|
| 192 |
+
--color-secondary-active: rgba(var(--color-gray-400-rgb), 0.3);
|
| 193 |
+
--color-border: rgba(var(--color-gray-400-rgb), 0.3);
|
| 194 |
+
--color-error: var(--color-red-400);
|
| 195 |
+
--color-success: var(--color-teal-300);
|
| 196 |
+
--color-warning: var(--color-orange-400);
|
| 197 |
+
--color-info: var(--color-gray-300);
|
| 198 |
+
--color-focus-ring: rgba(var(--color-teal-300-rgb), 0.4);
|
| 199 |
+
--color-btn-primary-text: var(--color-slate-900);
|
| 200 |
+
--color-card-border: rgba(var(--color-gray-400-rgb), 0.2);
|
| 201 |
+
--color-card-border-inner: rgba(var(--color-gray-400-rgb), 0.15);
|
| 202 |
+
--shadow-inset-sm: inset 0 1px 0 rgba(255, 255, 255, 0.1),
|
| 203 |
+
inset 0 -1px 0 rgba(0, 0, 0, 0.15);
|
| 204 |
+
--button-border-secondary: rgba(var(--color-gray-400-rgb), 0.2);
|
| 205 |
+
--color-border-secondary: rgba(var(--color-gray-400-rgb), 0.2);
|
| 206 |
+
--color-select-caret: rgba(var(--color-gray-200-rgb), 0.8);
|
| 207 |
+
|
| 208 |
+
/* Common style patterns - updated for dark mode */
|
| 209 |
+
--focus-ring: 0 0 0 3px var(--color-focus-ring);
|
| 210 |
+
--focus-outline: 2px solid var(--color-primary);
|
| 211 |
+
--status-bg-opacity: 0.15;
|
| 212 |
+
--status-border-opacity: 0.25;
|
| 213 |
+
--select-caret-light: url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='16' height='16' viewBox='0 0 24 24' fill='none' stroke='%23134252' stroke-width='2' stroke-linecap='round' stroke-linejoin='round'%3E%3Cpolyline points='6 9 12 15 18 9'%3E%3C/polyline%3E%3C/svg%3E");
|
| 214 |
+
--select-caret-dark: url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='16' height='16' viewBox='0 0 24 24' fill='none' stroke='%23f5f5f5' stroke-width='2' stroke-linecap='round' stroke-linejoin='round'%3E%3Cpolyline points='6 9 12 15 18 9'%3E%3C/polyline%3E%3C/svg%3E");
|
| 215 |
+
|
| 216 |
+
/* RGB versions for dark mode */
|
| 217 |
+
--color-success-rgb: var(--color-teal-300-rgb);
|
| 218 |
+
--color-error-rgb: var(--color-red-400-rgb);
|
| 219 |
+
--color-warning-rgb: var(--color-orange-400-rgb);
|
| 220 |
+
--color-info-rgb: var(--color-gray-300-rgb);
|
| 221 |
+
}
|
| 222 |
+
}
|
| 223 |
+
|
| 224 |
+
/* Data attribute for manual theme switching */
|
| 225 |
+
[data-color-scheme="dark"] {
|
| 226 |
+
/* RGB versions for opacity control (dark mode) */
|
| 227 |
--color-gray-400-rgb: 119, 124, 124;
|
| 228 |
--color-teal-300-rgb: 50, 184, 198;
|
| 229 |
--color-gray-300-rgb: 167, 169, 169;
|
| 230 |
--color-gray-200-rgb: 245, 245, 245;
|
| 231 |
|
| 232 |
+
/* Colorful background palette - Dark Mode */
|
| 233 |
+
--color-bg-1: rgba(29, 78, 216, 0.15);
|
| 234 |
+
/* Dark blue */
|
| 235 |
+
--color-bg-2: rgba(180, 83, 9, 0.15);
|
| 236 |
+
/* Dark yellow */
|
| 237 |
+
--color-bg-3: rgba(21, 128, 61, 0.15);
|
| 238 |
+
/* Dark green */
|
| 239 |
+
--color-bg-4: rgba(185, 28, 28, 0.15);
|
| 240 |
+
/* Dark red */
|
| 241 |
+
--color-bg-5: rgba(107, 33, 168, 0.15);
|
| 242 |
+
/* Dark purple */
|
| 243 |
+
--color-bg-6: rgba(194, 65, 12, 0.15);
|
| 244 |
+
/* Dark orange */
|
| 245 |
+
--color-bg-7: rgba(190, 24, 93, 0.15);
|
| 246 |
+
/* Dark pink */
|
| 247 |
+
--color-bg-8: rgba(8, 145, 178, 0.15);
|
| 248 |
+
/* Dark cyan */
|
| 249 |
|
| 250 |
/* Semantic Color Tokens (Dark Mode) */
|
| 251 |
--color-background: var(--color-charcoal-700);
|
|
|
|
| 265 |
--color-info: var(--color-gray-300);
|
| 266 |
--color-focus-ring: rgba(var(--color-teal-300-rgb), 0.4);
|
| 267 |
--color-btn-primary-text: var(--color-slate-900);
|
| 268 |
+
--color-card-border: rgba(var(--color-gray-400-rgb), 0.15);
|
| 269 |
--color-card-border-inner: rgba(var(--color-gray-400-rgb), 0.15);
|
| 270 |
--shadow-inset-sm: inset 0 1px 0 rgba(255, 255, 255, 0.1),
|
| 271 |
+
inset 0 -1px 0 rgba(0, 0, 0, 0.15);
|
|
|
|
| 272 |
--color-border-secondary: rgba(var(--color-gray-400-rgb), 0.2);
|
| 273 |
--color-select-caret: rgba(var(--color-gray-200-rgb), 0.8);
|
| 274 |
|
|
|
|
| 285 |
--color-error-rgb: var(--color-red-400-rgb);
|
| 286 |
--color-warning-rgb: var(--color-orange-400-rgb);
|
| 287 |
--color-info-rgb: var(--color-gray-300-rgb);
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 288 |
}
|
| 289 |
|
| 290 |
[data-color-scheme="light"] {
|
| 291 |
+
/* RGB versions for opacity control (light mode) */
|
| 292 |
+
--color-brown-600-rgb: 94, 82, 64;
|
| 293 |
+
--color-teal-500-rgb: 33, 128, 141;
|
| 294 |
+
--color-slate-900-rgb: 19, 52, 59;
|
| 295 |
+
|
| 296 |
+
/* Semantic Color Tokens (Light Mode) */
|
| 297 |
+
--color-background: var(--color-cream-50);
|
| 298 |
+
--color-surface: var(--color-cream-100);
|
| 299 |
+
--color-text: var(--color-slate-900);
|
| 300 |
+
--color-text-secondary: var(--color-slate-500);
|
| 301 |
+
--color-primary: var(--color-teal-500);
|
| 302 |
+
--color-primary-hover: var(--color-teal-600);
|
| 303 |
+
--color-primary-active: var(--color-teal-700);
|
| 304 |
+
--color-secondary: rgba(var(--color-brown-600-rgb), 0.12);
|
| 305 |
+
--color-secondary-hover: rgba(var(--color-brown-600-rgb), 0.2);
|
| 306 |
+
--color-secondary-active: rgba(var(--color-brown-600-rgb), 0.25);
|
| 307 |
+
--color-border: rgba(var(--color-brown-600-rgb), 0.2);
|
| 308 |
+
--color-btn-primary-text: var(--color-cream-50);
|
| 309 |
+
--color-card-border: rgba(var(--color-brown-600-rgb), 0.12);
|
| 310 |
+
--color-card-border-inner: rgba(var(--color-brown-600-rgb), 0.12);
|
| 311 |
+
--color-error: var(--color-red-500);
|
| 312 |
+
--color-success: var(--color-teal-500);
|
| 313 |
+
--color-warning: var(--color-orange-500);
|
| 314 |
+
--color-info: var(--color-slate-500);
|
| 315 |
+
--color-focus-ring: rgba(var(--color-teal-500-rgb), 0.4);
|
| 316 |
+
|
| 317 |
+
/* RGB versions for light mode */
|
| 318 |
+
--color-success-rgb: var(--color-teal-500-rgb);
|
| 319 |
+
--color-error-rgb: var(--color-red-500-rgb);
|
| 320 |
+
--color-warning-rgb: var(--color-orange-500-rgb);
|
| 321 |
+
--color-info-rgb: var(--color-slate-500-rgb);
|
| 322 |
}
|
| 323 |
|
| 324 |
/* Base styles */
|
| 325 |
html {
|
| 326 |
+
font-size: var(--font-size-base);
|
| 327 |
+
font-family: var(--font-family-base);
|
| 328 |
+
line-height: var(--line-height-normal);
|
| 329 |
+
color: var(--color-text);
|
| 330 |
+
background-color: var(--color-background);
|
| 331 |
+
-webkit-font-smoothing: antialiased;
|
| 332 |
+
box-sizing: border-box;
|
| 333 |
}
|
| 334 |
|
| 335 |
body {
|
| 336 |
+
margin: 0;
|
| 337 |
+
padding: 0;
|
| 338 |
}
|
| 339 |
|
| 340 |
*,
|
| 341 |
*::before,
|
| 342 |
*::after {
|
| 343 |
+
box-sizing: inherit;
|
| 344 |
}
|
| 345 |
|
| 346 |
/* Typography */
|
|
|
|
| 350 |
h4,
|
| 351 |
h5,
|
| 352 |
h6 {
|
| 353 |
+
margin: 0;
|
| 354 |
+
font-weight: var(--font-weight-semibold);
|
| 355 |
+
line-height: var(--line-height-tight);
|
| 356 |
+
color: var(--color-text);
|
| 357 |
+
letter-spacing: var(--letter-spacing-tight);
|
| 358 |
}
|
| 359 |
|
| 360 |
h1 {
|
| 361 |
+
font-size: var(--font-size-4xl);
|
| 362 |
}
|
| 363 |
+
|
| 364 |
h2 {
|
| 365 |
+
font-size: var(--font-size-3xl);
|
| 366 |
}
|
| 367 |
+
|
| 368 |
h3 {
|
| 369 |
+
font-size: var(--font-size-2xl);
|
| 370 |
}
|
| 371 |
+
|
| 372 |
h4 {
|
| 373 |
+
font-size: var(--font-size-xl);
|
| 374 |
}
|
| 375 |
+
|
| 376 |
h5 {
|
| 377 |
+
font-size: var(--font-size-lg);
|
| 378 |
}
|
| 379 |
+
|
| 380 |
h6 {
|
| 381 |
+
font-size: var(--font-size-md);
|
| 382 |
}
|
| 383 |
|
| 384 |
p {
|
| 385 |
+
margin: 0 0 var(--space-16) 0;
|
| 386 |
}
|
| 387 |
|
| 388 |
a {
|
| 389 |
+
color: var(--color-primary);
|
| 390 |
+
text-decoration: none;
|
| 391 |
+
transition: color var(--duration-fast) var(--ease-standard);
|
| 392 |
}
|
| 393 |
|
| 394 |
a:hover {
|
| 395 |
+
color: var(--color-primary-hover);
|
| 396 |
}
|
| 397 |
|
| 398 |
code,
|
| 399 |
pre {
|
| 400 |
+
font-family: var(--font-family-mono);
|
| 401 |
+
font-size: calc(var(--font-size-base) * 0.95);
|
| 402 |
+
background-color: var(--color-secondary);
|
| 403 |
+
border-radius: var(--radius-sm);
|
| 404 |
}
|
| 405 |
|
| 406 |
code {
|
| 407 |
+
padding: var(--space-1) var(--space-4);
|
| 408 |
}
|
| 409 |
|
| 410 |
pre {
|
| 411 |
+
padding: var(--space-16);
|
| 412 |
+
margin: var(--space-16) 0;
|
| 413 |
+
overflow: auto;
|
| 414 |
+
border: 1px solid var(--color-border);
|
| 415 |
}
|
| 416 |
|
| 417 |
pre code {
|
| 418 |
+
background: none;
|
| 419 |
+
padding: 0;
|
| 420 |
}
|
| 421 |
|
| 422 |
/* Buttons */
|
| 423 |
.btn {
|
| 424 |
+
display: inline-flex;
|
| 425 |
+
align-items: center;
|
| 426 |
+
justify-content: center;
|
| 427 |
+
padding: var(--space-8) var(--space-16);
|
| 428 |
+
border-radius: var(--radius-base);
|
| 429 |
+
font-size: var(--font-size-base);
|
| 430 |
+
font-weight: 500;
|
| 431 |
+
line-height: 1.5;
|
| 432 |
+
cursor: pointer;
|
| 433 |
+
transition: all var(--duration-normal) var(--ease-standard);
|
| 434 |
+
border: none;
|
| 435 |
+
text-decoration: none;
|
| 436 |
+
position: relative;
|
| 437 |
}
|
| 438 |
|
| 439 |
.btn:focus-visible {
|
| 440 |
+
outline: none;
|
| 441 |
+
box-shadow: var(--focus-ring);
|
| 442 |
}
|
| 443 |
|
| 444 |
.btn--primary {
|
| 445 |
+
background: var(--color-primary);
|
| 446 |
+
color: var(--color-btn-primary-text);
|
| 447 |
}
|
| 448 |
|
| 449 |
.btn--primary:hover {
|
| 450 |
+
background: var(--color-primary-hover);
|
| 451 |
}
|
| 452 |
|
| 453 |
.btn--primary:active {
|
| 454 |
+
background: var(--color-primary-active);
|
| 455 |
}
|
| 456 |
|
| 457 |
.btn--secondary {
|
| 458 |
+
background: var(--color-secondary);
|
| 459 |
+
color: var(--color-text);
|
| 460 |
}
|
| 461 |
|
| 462 |
.btn--secondary:hover {
|
| 463 |
+
background: var(--color-secondary-hover);
|
| 464 |
}
|
| 465 |
|
| 466 |
.btn--secondary:active {
|
| 467 |
+
background: var(--color-secondary-active);
|
| 468 |
}
|
| 469 |
|
| 470 |
.btn--outline {
|
| 471 |
+
background: transparent;
|
| 472 |
+
border: 1px solid var(--color-border);
|
| 473 |
+
color: var(--color-text);
|
| 474 |
}
|
| 475 |
|
| 476 |
.btn--outline:hover {
|
| 477 |
+
background: var(--color-secondary);
|
| 478 |
}
|
| 479 |
|
| 480 |
.btn--sm {
|
| 481 |
+
padding: var(--space-4) var(--space-12);
|
| 482 |
+
font-size: var(--font-size-sm);
|
| 483 |
+
border-radius: var(--radius-sm);
|
| 484 |
}
|
| 485 |
|
| 486 |
.btn--lg {
|
| 487 |
+
padding: var(--space-10) var(--space-20);
|
| 488 |
+
font-size: var(--font-size-lg);
|
| 489 |
+
border-radius: var(--radius-md);
|
| 490 |
}
|
| 491 |
|
| 492 |
.btn--full-width {
|
| 493 |
+
width: 100%;
|
| 494 |
}
|
| 495 |
|
| 496 |
.btn:disabled {
|
| 497 |
+
opacity: 0.5;
|
| 498 |
+
cursor: not-allowed;
|
| 499 |
}
|
| 500 |
|
| 501 |
/* Form elements */
|
| 502 |
.form-control {
|
| 503 |
+
display: block;
|
| 504 |
+
width: 100%;
|
| 505 |
+
padding: var(--space-8) var(--space-12);
|
| 506 |
+
font-size: var(--font-size-md);
|
| 507 |
+
line-height: 1.5;
|
| 508 |
+
color: var(--color-text);
|
| 509 |
+
background-color: var(--color-surface);
|
| 510 |
+
border: 1px solid var(--color-border);
|
| 511 |
+
border-radius: var(--radius-base);
|
| 512 |
+
transition: border-color var(--duration-fast) var(--ease-standard),
|
| 513 |
+
box-shadow var(--duration-fast) var(--ease-standard);
|
| 514 |
}
|
| 515 |
|
| 516 |
textarea.form-control {
|
| 517 |
+
font-family: var(--font-family-base);
|
| 518 |
+
font-size: var(--font-size-base);
|
| 519 |
}
|
| 520 |
|
| 521 |
select.form-control {
|
| 522 |
+
padding: var(--space-8) var(--space-12);
|
| 523 |
+
-webkit-appearance: none;
|
| 524 |
+
-moz-appearance: none;
|
| 525 |
+
appearance: none;
|
| 526 |
+
background-image: var(--select-caret-light);
|
| 527 |
+
background-repeat: no-repeat;
|
| 528 |
+
background-position: right var(--space-12) center;
|
| 529 |
+
background-size: 16px;
|
| 530 |
+
padding-right: var(--space-32);
|
| 531 |
}
|
| 532 |
|
| 533 |
/* Add a dark mode specific caret */
|
| 534 |
@media (prefers-color-scheme: dark) {
|
| 535 |
+
select.form-control {
|
| 536 |
+
background-image: var(--select-caret-dark);
|
| 537 |
+
}
|
| 538 |
}
|
| 539 |
|
| 540 |
/* Also handle data-color-scheme */
|
| 541 |
[data-color-scheme="dark"] select.form-control {
|
| 542 |
+
background-image: var(--select-caret-dark);
|
| 543 |
}
|
| 544 |
|
| 545 |
[data-color-scheme="light"] select.form-control {
|
| 546 |
+
background-image: var(--select-caret-light);
|
| 547 |
}
|
| 548 |
|
| 549 |
.form-control:focus {
|
| 550 |
+
border-color: var(--color-primary);
|
| 551 |
+
outline: var(--focus-outline);
|
| 552 |
}
|
| 553 |
|
| 554 |
.form-label {
|
| 555 |
+
display: block;
|
| 556 |
+
margin-bottom: var(--space-8);
|
| 557 |
+
font-weight: var(--font-weight-medium);
|
| 558 |
+
font-size: var(--font-size-sm);
|
| 559 |
}
|
| 560 |
|
| 561 |
.form-group {
|
| 562 |
+
margin-bottom: var(--space-16);
|
| 563 |
}
|
| 564 |
|
| 565 |
/* Card component */
|
| 566 |
.card {
|
| 567 |
+
background-color: var(--color-surface);
|
| 568 |
+
border-radius: var(--radius-lg);
|
| 569 |
+
border: 1px solid var(--color-card-border);
|
| 570 |
+
box-shadow: var(--shadow-sm);
|
| 571 |
+
overflow: hidden;
|
| 572 |
+
transition: box-shadow var(--duration-normal) var(--ease-standard);
|
| 573 |
}
|
| 574 |
|
| 575 |
.card:hover {
|
| 576 |
+
box-shadow: var(--shadow-md);
|
| 577 |
}
|
| 578 |
|
| 579 |
.card__body {
|
| 580 |
+
padding: var(--space-16);
|
| 581 |
}
|
| 582 |
|
| 583 |
.card__header,
|
| 584 |
.card__footer {
|
| 585 |
+
padding: var(--space-16);
|
| 586 |
+
border-bottom: 1px solid var(--color-card-border-inner);
|
| 587 |
}
|
| 588 |
|
| 589 |
/* Status indicators - simplified with CSS variables */
|
| 590 |
.status {
|
| 591 |
+
display: inline-flex;
|
| 592 |
+
align-items: center;
|
| 593 |
+
padding: var(--space-6) var(--space-12);
|
| 594 |
+
border-radius: var(--radius-full);
|
| 595 |
+
font-weight: var(--font-weight-medium);
|
| 596 |
+
font-size: var(--font-size-sm);
|
| 597 |
}
|
| 598 |
|
| 599 |
.status--success {
|
| 600 |
+
background-color: rgba(var(--color-success-rgb, 33, 128, 141),
|
| 601 |
+
var(--status-bg-opacity));
|
| 602 |
+
color: var(--color-success);
|
| 603 |
+
border: 1px solid rgba(var(--color-success-rgb, 33, 128, 141), var(--status-border-opacity));
|
|
|
|
|
|
|
|
|
|
| 604 |
}
|
| 605 |
|
| 606 |
.status--error {
|
| 607 |
+
background-color: rgba(var(--color-error-rgb, 192, 21, 47),
|
| 608 |
+
var(--status-bg-opacity));
|
| 609 |
+
color: var(--color-error);
|
| 610 |
+
border: 1px solid rgba(var(--color-error-rgb, 192, 21, 47), var(--status-border-opacity));
|
|
|
|
|
|
|
|
|
|
| 611 |
}
|
| 612 |
|
| 613 |
.status--warning {
|
| 614 |
+
background-color: rgba(var(--color-warning-rgb, 168, 75, 47),
|
| 615 |
+
var(--status-bg-opacity));
|
| 616 |
+
color: var(--color-warning);
|
| 617 |
+
border: 1px solid rgba(var(--color-warning-rgb, 168, 75, 47), var(--status-border-opacity));
|
|
|
|
|
|
|
|
|
|
| 618 |
}
|
| 619 |
|
| 620 |
.status--info {
|
| 621 |
+
background-color: rgba(var(--color-info-rgb, 98, 108, 113),
|
| 622 |
+
var(--status-bg-opacity));
|
| 623 |
+
color: var(--color-info);
|
| 624 |
+
border: 1px solid rgba(var(--color-info-rgb, 98, 108, 113), var(--status-border-opacity));
|
|
|
|
|
|
|
|
|
|
| 625 |
}
|
| 626 |
|
| 627 |
/* Container layout */
|
| 628 |
.container {
|
| 629 |
+
width: 100%;
|
| 630 |
+
margin-right: auto;
|
| 631 |
+
margin-left: auto;
|
| 632 |
+
padding-right: var(--space-16);
|
| 633 |
+
padding-left: var(--space-16);
|
| 634 |
}
|
| 635 |
|
| 636 |
@media (min-width: 640px) {
|
| 637 |
+
.container {
|
| 638 |
+
max-width: var(--container-sm);
|
| 639 |
+
}
|
| 640 |
}
|
| 641 |
+
|
| 642 |
@media (min-width: 768px) {
|
| 643 |
+
.container {
|
| 644 |
+
max-width: var(--container-md);
|
| 645 |
+
}
|
| 646 |
}
|
| 647 |
+
|
| 648 |
@media (min-width: 1024px) {
|
| 649 |
+
.container {
|
| 650 |
+
max-width: var(--container-lg);
|
| 651 |
+
}
|
| 652 |
}
|
| 653 |
+
|
| 654 |
@media (min-width: 1280px) {
|
| 655 |
+
.container {
|
| 656 |
+
max-width: var(--container-xl);
|
| 657 |
+
}
|
| 658 |
}
|
| 659 |
|
| 660 |
/* Utility classes */
|
| 661 |
.flex {
|
| 662 |
+
display: flex;
|
| 663 |
}
|
| 664 |
+
|
| 665 |
.flex-col {
|
| 666 |
+
flex-direction: column;
|
| 667 |
}
|
| 668 |
+
|
| 669 |
.items-center {
|
| 670 |
+
align-items: center;
|
| 671 |
}
|
| 672 |
+
|
| 673 |
.justify-center {
|
| 674 |
+
justify-content: center;
|
| 675 |
}
|
| 676 |
+
|
| 677 |
.justify-between {
|
| 678 |
+
justify-content: space-between;
|
| 679 |
}
|
| 680 |
+
|
| 681 |
.gap-4 {
|
| 682 |
+
gap: var(--space-4);
|
| 683 |
}
|
| 684 |
+
|
| 685 |
.gap-8 {
|
| 686 |
+
gap: var(--space-8);
|
| 687 |
}
|
| 688 |
+
|
| 689 |
.gap-16 {
|
| 690 |
+
gap: var(--space-16);
|
| 691 |
}
|
| 692 |
|
| 693 |
.m-0 {
|
| 694 |
+
margin: 0;
|
| 695 |
}
|
| 696 |
+
|
| 697 |
.mt-8 {
|
| 698 |
+
margin-top: var(--space-8);
|
| 699 |
}
|
| 700 |
+
|
| 701 |
.mb-8 {
|
| 702 |
+
margin-bottom: var(--space-8);
|
| 703 |
}
|
| 704 |
+
|
| 705 |
.mx-8 {
|
| 706 |
+
margin-left: var(--space-8);
|
| 707 |
+
margin-right: var(--space-8);
|
| 708 |
}
|
| 709 |
+
|
| 710 |
.my-8 {
|
| 711 |
+
margin-top: var(--space-8);
|
| 712 |
+
margin-bottom: var(--space-8);
|
| 713 |
}
|
| 714 |
|
| 715 |
.p-0 {
|
| 716 |
+
padding: 0;
|
| 717 |
}
|
| 718 |
+
|
| 719 |
.py-8 {
|
| 720 |
+
padding-top: var(--space-8);
|
| 721 |
+
padding-bottom: var(--space-8);
|
| 722 |
}
|
| 723 |
+
|
| 724 |
.px-8 {
|
| 725 |
+
padding-left: var(--space-8);
|
| 726 |
+
padding-right: var(--space-8);
|
| 727 |
}
|
| 728 |
+
|
| 729 |
.py-16 {
|
| 730 |
+
padding-top: var(--space-16);
|
| 731 |
+
padding-bottom: var(--space-16);
|
| 732 |
}
|
| 733 |
+
|
| 734 |
.px-16 {
|
| 735 |
+
padding-left: var(--space-16);
|
| 736 |
+
padding-right: var(--space-16);
|
| 737 |
}
|
| 738 |
|
| 739 |
.block {
|
| 740 |
+
display: block;
|
| 741 |
}
|
| 742 |
+
|
| 743 |
.hidden {
|
| 744 |
+
display: none;
|
| 745 |
}
|
| 746 |
|
| 747 |
/* Accessibility */
|
| 748 |
.sr-only {
|
| 749 |
+
position: absolute;
|
| 750 |
+
width: 1px;
|
| 751 |
+
height: 1px;
|
| 752 |
+
padding: 0;
|
| 753 |
+
margin: -1px;
|
| 754 |
+
overflow: hidden;
|
| 755 |
+
clip: rect(0, 0, 0, 0);
|
| 756 |
+
white-space: nowrap;
|
| 757 |
+
border-width: 0;
|
| 758 |
}
|
| 759 |
|
| 760 |
:focus-visible {
|
| 761 |
+
outline: var(--focus-outline);
|
| 762 |
+
outline-offset: 2px;
|
| 763 |
}
|
| 764 |
|
| 765 |
/* Dark mode specifics */
|
| 766 |
[data-color-scheme="dark"] .btn--outline {
|
| 767 |
+
border: 1px solid var(--color-border-secondary);
|
| 768 |
}
|
| 769 |
|
| 770 |
@font-face {
|
| 771 |
+
font-family: 'FKGroteskNeue';
|
| 772 |
+
src: url('https://r2cdn.perplexity.ai/fonts/FKGroteskNeue.woff2') format('woff2');
|
|
|
|
| 773 |
}
|
| 774 |
|
| 775 |
/* END PERPLEXITY DESIGN SYSTEM */
|
|
|
|
| 1370 |
background: #0f3460;
|
| 1371 |
outline: none;
|
| 1372 |
-webkit-appearance: none;
|
| 1373 |
+
appearance: none;
|
| 1374 |
}
|
| 1375 |
|
| 1376 |
.slider::-webkit-slider-thumb {
|
|
|
|
| 1689 |
flex-wrap: wrap;
|
| 1690 |
gap: 0.5rem;
|
| 1691 |
}
|
| 1692 |
+
|
| 1693 |
.subject-tab {
|
| 1694 |
font-size: 0.8rem;
|
| 1695 |
padding: 0.5rem 1rem;
|
| 1696 |
}
|
| 1697 |
+
|
| 1698 |
.main-container {
|
| 1699 |
flex-direction: column;
|
| 1700 |
}
|
|
|
|
| 1765 |
padding: 30px;
|
| 1766 |
margin: 40px 0;
|
| 1767 |
border-left: 5px solid #64ffda;
|
| 1768 |
+
box-shadow: 0 8px 16px rgba(0, 0, 0, 0.3);
|
| 1769 |
}
|
| 1770 |
|
| 1771 |
.example-problem {
|
| 1772 |
+
background: rgba(255, 255, 255, 0.08);
|
| 1773 |
padding: 25px;
|
| 1774 |
border-radius: 10px;
|
| 1775 |
margin-bottom: 30px;
|
|
|
|
| 1788 |
gap: 20px;
|
| 1789 |
margin: 25px 0;
|
| 1790 |
padding: 25px;
|
| 1791 |
+
background: rgba(0, 0, 0, 0.3);
|
| 1792 |
border-radius: 10px;
|
| 1793 |
border-left: 4px solid #4a90e2;
|
| 1794 |
transition: all 0.3s ease;
|
| 1795 |
}
|
| 1796 |
|
| 1797 |
.solution-step:hover {
|
| 1798 |
+
background: rgba(0, 0, 0, 0.4);
|
| 1799 |
border-left-width: 6px;
|
| 1800 |
transform: translateX(5px);
|
| 1801 |
}
|
|
|
|
| 1820 |
}
|
| 1821 |
|
| 1822 |
.step-work {
|
| 1823 |
+
background: rgba(0, 0, 0, 0.4);
|
| 1824 |
padding: 18px;
|
| 1825 |
border-radius: 8px;
|
| 1826 |
margin: 12px 0;
|
|
|
|
| 1848 |
width: 100%;
|
| 1849 |
border-collapse: collapse;
|
| 1850 |
margin: 15px 0;
|
| 1851 |
+
background: rgba(0, 0, 0, 0.2);
|
| 1852 |
border-radius: 8px;
|
| 1853 |
overflow: hidden;
|
| 1854 |
}
|
|
|
|
| 1856 |
.calculation-table th,
|
| 1857 |
.calculation-table td {
|
| 1858 |
padding: 12px;
|
| 1859 |
+
border: 1px solid rgba(255, 255, 255, 0.1);
|
| 1860 |
text-align: center;
|
| 1861 |
}
|
| 1862 |
|
|
|
|
| 1877 |
margin-top: 30px;
|
| 1878 |
text-align: center;
|
| 1879 |
font-size: 18px;
|
| 1880 |
+
box-shadow: 0 4px 12px rgba(81, 207, 102, 0.3);
|
| 1881 |
}
|
| 1882 |
|
| 1883 |
.answer-highlight {
|
|
|
|
| 1886 |
color: white;
|
| 1887 |
display: block;
|
| 1888 |
margin-top: 12px;
|
| 1889 |
+
text-shadow: 2px 2px 4px rgba(0, 0, 0, 0.3);
|
| 1890 |
}
|
| 1891 |
|
| 1892 |
.verification {
|
|
|
|
| 1951 |
}
|
| 1952 |
|
| 1953 |
.practice-answers {
|
| 1954 |
+
background: rgba(0, 0, 0, 0.3);
|
| 1955 |
padding: 20px;
|
| 1956 |
border-radius: 8px;
|
| 1957 |
margin-top: 15px;
|
|
|
|
| 1969 |
|
| 1970 |
/* Animations */
|
| 1971 |
@keyframes pulse {
|
| 1972 |
+
|
| 1973 |
+
0%,
|
| 1974 |
+
100% {
|
| 1975 |
opacity: 1;
|
| 1976 |
}
|
| 1977 |
+
|
| 1978 |
50% {
|
| 1979 |
opacity: 0.5;
|
| 1980 |
}
|
|
|
|
| 2004 |
/* Smooth Transitions */
|
| 2005 |
* {
|
| 2006 |
transition: background-color 0.3s ease, color 0.3s ease, border-color 0.3s ease;
|
| 2007 |
+
}
|
| 2008 |
+
|
| 2009 |
+
/* ========== SEARCH FUNCTIONALITY ========== */
|
| 2010 |
+
.search-container {
|
| 2011 |
+
position: relative;
|
| 2012 |
+
margin: 0 1.5rem;
|
| 2013 |
+
flex-shrink: 0;
|
| 2014 |
+
}
|
| 2015 |
+
|
| 2016 |
+
.search-input {
|
| 2017 |
+
width: 280px;
|
| 2018 |
+
padding: 0.7rem 1rem 0.7rem 1rem;
|
| 2019 |
+
background: rgba(255, 255, 255, 0.08);
|
| 2020 |
+
border: 1px solid rgba(100, 255, 218, 0.2);
|
| 2021 |
+
border-radius: 10px;
|
| 2022 |
+
color: #e1e1e1;
|
| 2023 |
+
font-size: 0.9rem;
|
| 2024 |
+
outline: none;
|
| 2025 |
+
transition: all 0.3s ease;
|
| 2026 |
+
backdrop-filter: blur(10px);
|
| 2027 |
+
}
|
| 2028 |
+
|
| 2029 |
+
.search-input::placeholder {
|
| 2030 |
+
color: rgba(255, 255, 255, 0.5);
|
| 2031 |
+
}
|
| 2032 |
+
|
| 2033 |
+
.search-input:focus {
|
| 2034 |
+
background: rgba(255, 255, 255, 0.12);
|
| 2035 |
+
border-color: rgba(100, 255, 218, 0.5);
|
| 2036 |
+
box-shadow: 0 0 20px rgba(100, 255, 218, 0.15);
|
| 2037 |
+
width: 320px;
|
| 2038 |
+
}
|
| 2039 |
+
|
| 2040 |
+
.search-results {
|
| 2041 |
+
position: absolute;
|
| 2042 |
+
top: 100%;
|
| 2043 |
+
left: 0;
|
| 2044 |
+
right: 0;
|
| 2045 |
+
background: rgba(26, 26, 46, 0.98);
|
| 2046 |
+
border: 1px solid rgba(100, 255, 218, 0.2);
|
| 2047 |
+
border-radius: 10px;
|
| 2048 |
+
margin-top: 0.5rem;
|
| 2049 |
+
max-height: 400px;
|
| 2050 |
+
overflow-y: auto;
|
| 2051 |
+
z-index: 1000;
|
| 2052 |
+
display: none;
|
| 2053 |
+
backdrop-filter: blur(20px);
|
| 2054 |
+
box-shadow: 0 10px 40px rgba(0, 0, 0, 0.5);
|
| 2055 |
+
}
|
| 2056 |
+
|
| 2057 |
+
.search-results.active {
|
| 2058 |
+
display: block;
|
| 2059 |
+
animation: slideDown 0.2s ease;
|
| 2060 |
+
}
|
| 2061 |
+
|
| 2062 |
+
@keyframes slideDown {
|
| 2063 |
+
from {
|
| 2064 |
+
opacity: 0;
|
| 2065 |
+
transform: translateY(-10px);
|
| 2066 |
+
}
|
| 2067 |
+
|
| 2068 |
+
to {
|
| 2069 |
+
opacity: 1;
|
| 2070 |
+
transform: translateY(0);
|
| 2071 |
+
}
|
| 2072 |
+
}
|
| 2073 |
+
|
| 2074 |
+
.search-result-item {
|
| 2075 |
+
padding: 0.8rem 1rem;
|
| 2076 |
+
cursor: pointer;
|
| 2077 |
+
border-bottom: 1px solid rgba(255, 255, 255, 0.05);
|
| 2078 |
+
transition: all 0.2s ease;
|
| 2079 |
+
}
|
| 2080 |
+
|
| 2081 |
+
.search-result-item:hover {
|
| 2082 |
+
background: rgba(100, 255, 218, 0.1);
|
| 2083 |
+
}
|
| 2084 |
+
|
| 2085 |
+
.search-result-item:last-child {
|
| 2086 |
+
border-bottom: none;
|
| 2087 |
+
}
|
| 2088 |
+
|
| 2089 |
+
.search-result-title {
|
| 2090 |
+
color: #64ffda;
|
| 2091 |
+
font-weight: 600;
|
| 2092 |
+
font-size: 0.95rem;
|
| 2093 |
+
margin-bottom: 0.2rem;
|
| 2094 |
+
}
|
| 2095 |
+
|
| 2096 |
+
.search-result-subject {
|
| 2097 |
+
color: rgba(255, 255, 255, 0.5);
|
| 2098 |
+
font-size: 0.8rem;
|
| 2099 |
+
text-transform: uppercase;
|
| 2100 |
+
letter-spacing: 0.5px;
|
| 2101 |
+
}
|
| 2102 |
+
|
| 2103 |
+
.search-highlight {
|
| 2104 |
+
background: rgba(100, 255, 218, 0.3);
|
| 2105 |
+
border-radius: 2px;
|
| 2106 |
+
padding: 0 2px;
|
| 2107 |
+
}
|
| 2108 |
+
|
| 2109 |
+
.no-results {
|
| 2110 |
+
padding: 1.5rem;
|
| 2111 |
+
text-align: center;
|
| 2112 |
+
color: rgba(255, 255, 255, 0.5);
|
| 2113 |
+
}
|
| 2114 |
+
|
| 2115 |
+
/* Topic completion checkbox */
|
| 2116 |
+
.topic-complete-btn {
|
| 2117 |
+
display: flex;
|
| 2118 |
+
align-items: center;
|
| 2119 |
+
gap: 0.5rem;
|
| 2120 |
+
padding: 0.5rem 1rem;
|
| 2121 |
+
background: rgba(100, 255, 218, 0.1);
|
| 2122 |
+
border: 1px solid rgba(100, 255, 218, 0.3);
|
| 2123 |
+
border-radius: 8px;
|
| 2124 |
+
color: #64ffda;
|
| 2125 |
+
font-size: 0.85rem;
|
| 2126 |
+
cursor: pointer;
|
| 2127 |
+
transition: all 0.3s ease;
|
| 2128 |
+
margin-top: 1rem;
|
| 2129 |
+
}
|
| 2130 |
+
|
| 2131 |
+
.topic-complete-btn:hover {
|
| 2132 |
+
background: rgba(100, 255, 218, 0.2);
|
| 2133 |
+
transform: translateY(-2px);
|
| 2134 |
+
}
|
| 2135 |
+
|
| 2136 |
+
.topic-complete-btn.completed {
|
| 2137 |
+
background: rgba(81, 207, 102, 0.2);
|
| 2138 |
+
border-color: #51cf66;
|
| 2139 |
+
color: #51cf66;
|
| 2140 |
+
}
|
| 2141 |
+
|
| 2142 |
+
.topic-complete-btn .check-icon {
|
| 2143 |
+
width: 18px;
|
| 2144 |
+
height: 18px;
|
| 2145 |
+
border: 2px solid currentColor;
|
| 2146 |
+
border-radius: 4px;
|
| 2147 |
+
display: flex;
|
| 2148 |
+
align-items: center;
|
| 2149 |
+
justify-content: center;
|
| 2150 |
+
font-size: 12px;
|
| 2151 |
+
}
|
| 2152 |
+
|
| 2153 |
+
.topic-complete-btn.completed .check-icon::after {
|
| 2154 |
+
content: '✓';
|
| 2155 |
+
}
|
| 2156 |
+
|
| 2157 |
+
/* Sidebar topic completed state */
|
| 2158 |
+
.topic-link.completed {
|
| 2159 |
+
color: #51cf66 !important;
|
| 2160 |
+
position: relative;
|
| 2161 |
+
}
|
| 2162 |
+
|
| 2163 |
+
.topic-link.completed::before {
|
| 2164 |
+
content: '✓ ';
|
| 2165 |
+
font-weight: bold;
|
| 2166 |
+
}
|
| 2167 |
+
|
| 2168 |
+
/* ========== MICRO-ANIMATIONS ========== */
|
| 2169 |
+
@keyframes fadeInUp {
|
| 2170 |
+
from {
|
| 2171 |
+
opacity: 0;
|
| 2172 |
+
transform: translateY(20px);
|
| 2173 |
+
}
|
| 2174 |
+
|
| 2175 |
+
to {
|
| 2176 |
+
opacity: 1;
|
| 2177 |
+
transform: translateY(0);
|
| 2178 |
+
}
|
| 2179 |
+
}
|
| 2180 |
+
|
| 2181 |
+
@keyframes shimmer {
|
| 2182 |
+
0% {
|
| 2183 |
+
background-position: -200% 0;
|
| 2184 |
+
}
|
| 2185 |
+
|
| 2186 |
+
100% {
|
| 2187 |
+
background-position: 200% 0;
|
| 2188 |
+
}
|
| 2189 |
+
}
|
| 2190 |
+
|
| 2191 |
+
@keyframes glow {
|
| 2192 |
+
|
| 2193 |
+
0%,
|
| 2194 |
+
100% {
|
| 2195 |
+
box-shadow: 0 0 5px rgba(100, 255, 218, 0.3);
|
| 2196 |
+
}
|
| 2197 |
+
|
| 2198 |
+
50% {
|
| 2199 |
+
box-shadow: 0 0 20px rgba(100, 255, 218, 0.6);
|
| 2200 |
+
}
|
| 2201 |
+
}
|
| 2202 |
+
|
| 2203 |
+
.topic-section {
|
| 2204 |
+
animation: fadeInUp 0.5s ease forwards;
|
| 2205 |
+
}
|
| 2206 |
+
|
| 2207 |
+
.content-card {
|
| 2208 |
+
transition: transform 0.3s ease, box-shadow 0.3s ease;
|
| 2209 |
+
}
|
| 2210 |
+
|
| 2211 |
+
.content-card:hover {
|
| 2212 |
+
transform: translateY(-3px);
|
| 2213 |
+
box-shadow: 0 10px 30px rgba(0, 0, 0, 0.3);
|
| 2214 |
+
}
|
| 2215 |
+
|
| 2216 |
+
.callout-box {
|
| 2217 |
+
transition: transform 0.3s ease, box-shadow 0.3s ease;
|
| 2218 |
+
}
|
| 2219 |
+
|
| 2220 |
+
.callout-box:hover {
|
| 2221 |
+
transform: translateX(5px);
|
| 2222 |
+
}
|
| 2223 |
+
|
| 2224 |
+
/* Button hover effects */
|
| 2225 |
+
.btn-primary,
|
| 2226 |
+
.btn-secondary,
|
| 2227 |
+
.subject-tab {
|
| 2228 |
+
position: relative;
|
| 2229 |
+
overflow: hidden;
|
| 2230 |
+
}
|
| 2231 |
+
|
| 2232 |
+
.btn-primary::after,
|
| 2233 |
+
.btn-secondary::after {
|
| 2234 |
+
content: '';
|
| 2235 |
+
position: absolute;
|
| 2236 |
+
top: 50%;
|
| 2237 |
+
left: 50%;
|
| 2238 |
+
width: 0;
|
| 2239 |
+
height: 0;
|
| 2240 |
+
background: rgba(255, 255, 255, 0.2);
|
| 2241 |
+
border-radius: 50%;
|
| 2242 |
+
transform: translate(-50%, -50%);
|
| 2243 |
+
transition: width 0.6s ease, height 0.6s ease;
|
| 2244 |
+
}
|
| 2245 |
+
|
| 2246 |
+
.btn-primary:hover::after,
|
| 2247 |
+
.btn-secondary:hover::after {
|
| 2248 |
+
width: 300px;
|
| 2249 |
+
height: 300px;
|
| 2250 |
+
}
|
| 2251 |
+
|
| 2252 |
+
/* ========== GLASSMORPHISM EFFECTS ========== */
|
| 2253 |
+
.formula-card {
|
| 2254 |
+
background: rgba(255, 255, 255, 0.03) !important;
|
| 2255 |
+
backdrop-filter: blur(10px);
|
| 2256 |
+
border: 1px solid rgba(100, 255, 218, 0.1) !important;
|
| 2257 |
+
}
|
| 2258 |
+
|
| 2259 |
+
.summary-card {
|
| 2260 |
+
background: linear-gradient(135deg, rgba(100, 255, 218, 0.05), rgba(74, 144, 226, 0.05)) !important;
|
| 2261 |
+
backdrop-filter: blur(10px);
|
| 2262 |
+
border: 1px solid rgba(100, 255, 218, 0.2) !important;
|
| 2263 |
+
}
|
| 2264 |
+
|
| 2265 |
+
/* ========== IMPROVED TYPOGRAPHY ========== */
|
| 2266 |
+
body {
|
| 2267 |
+
font-family: 'Inter', 'Segoe UI', Tahoma, Geneva, Verdana, sans-serif !important;
|
| 2268 |
+
}
|
| 2269 |
+
|
| 2270 |
+
.formula-card,
|
| 2271 |
+
code,
|
| 2272 |
+
pre,
|
| 2273 |
+
.formula-main {
|
| 2274 |
+
font-family: 'JetBrains Mono', 'Consolas', monospace !important;
|
| 2275 |
+
}
|
| 2276 |
+
|
| 2277 |
+
/* MathJax styling */
|
| 2278 |
+
.MathJax {
|
| 2279 |
+
font-size: 1.1em !important;
|
| 2280 |
+
}
|
| 2281 |
+
|
| 2282 |
+
mjx-container[jax="CHTML"] {
|
| 2283 |
+
margin: 0.5em 0 !important;
|
| 2284 |
+
}
|
| 2285 |
+
|
| 2286 |
+
/* ========== INTERACTIVE ELEMENT IMPROVEMENTS ========== */
|
| 2287 |
+
canvas {
|
| 2288 |
+
border-radius: 12px;
|
| 2289 |
+
box-shadow: 0 4px 20px rgba(0, 0, 0, 0.3);
|
| 2290 |
+
transition: box-shadow 0.3s ease;
|
| 2291 |
+
}
|
| 2292 |
+
|
| 2293 |
+
canvas:hover {
|
| 2294 |
+
box-shadow: 0 8px 30px rgba(100, 255, 218, 0.2);
|
| 2295 |
+
}
|
| 2296 |
+
|
| 2297 |
+
.controls {
|
| 2298 |
+
display: flex;
|
| 2299 |
+
gap: 1rem;
|
| 2300 |
+
flex-wrap: wrap;
|
| 2301 |
+
align-items: center;
|
| 2302 |
+
padding: 1rem;
|
| 2303 |
+
background: rgba(0, 0, 0, 0.2);
|
| 2304 |
+
border-radius: 10px;
|
| 2305 |
+
margin-top: 1rem;
|
| 2306 |
+
}
|
| 2307 |
+
|
| 2308 |
+
.slider-group {
|
| 2309 |
+
display: flex;
|
| 2310 |
+
flex-direction: column;
|
| 2311 |
+
gap: 0.3rem;
|
| 2312 |
+
}
|
| 2313 |
+
|
| 2314 |
+
.slider-group label {
|
| 2315 |
+
font-size: 0.85rem;
|
| 2316 |
+
color: rgba(255, 255, 255, 0.7);
|
| 2317 |
+
}
|
| 2318 |
+
|
| 2319 |
+
input[type="range"] {
|
| 2320 |
+
-webkit-appearance: none;
|
| 2321 |
+
appearance: none;
|
| 2322 |
+
width: 150px;
|
| 2323 |
+
height: 6px;
|
| 2324 |
+
background: rgba(255, 255, 255, 0.1);
|
| 2325 |
+
border-radius: 3px;
|
| 2326 |
+
outline: none;
|
| 2327 |
+
}
|
| 2328 |
+
|
| 2329 |
+
input[type="range"]::-webkit-slider-thumb {
|
| 2330 |
+
-webkit-appearance: none;
|
| 2331 |
+
width: 16px;
|
| 2332 |
+
height: 16px;
|
| 2333 |
+
background: linear-gradient(135deg, #4a90e2, #64ffda);
|
| 2334 |
+
border-radius: 50%;
|
| 2335 |
+
cursor: pointer;
|
| 2336 |
+
box-shadow: 0 2px 6px rgba(0, 0, 0, 0.3);
|
| 2337 |
+
transition: transform 0.2s ease;
|
| 2338 |
+
}
|
| 2339 |
+
|
| 2340 |
+
input[type="range"]::-webkit-slider-thumb:hover {
|
| 2341 |
+
transform: scale(1.2);
|
| 2342 |
+
}
|
| 2343 |
+
|
| 2344 |
+
/* ========== RESPONSIVE ADJUSTMENTS ========== */
|
| 2345 |
+
@media (max-width: 1200px) {
|
| 2346 |
+
.search-container {
|
| 2347 |
+
order: 3;
|
| 2348 |
+
margin: 0.5rem 0;
|
| 2349 |
+
width: 100%;
|
| 2350 |
+
}
|
| 2351 |
+
|
| 2352 |
+
.search-input {
|
| 2353 |
+
width: 100%;
|
| 2354 |
+
}
|
| 2355 |
+
|
| 2356 |
+
.search-input:focus {
|
| 2357 |
+
width: 100%;
|
| 2358 |
+
}
|
| 2359 |
+
}
|
| 2360 |
+
|
| 2361 |
+
@media (max-width: 768px) {
|
| 2362 |
+
.search-container {
|
| 2363 |
+
display: none;
|
| 2364 |
+
}
|
| 2365 |
}
|