Visualizations
Interactive mathematical, physics, and chemistry visualizations
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Math Visualizations 105
Sampling Theorem & Aliasing Visualization
Interactive visualization of the Nyquist-Shannon sampling theorem and aliasing phenomenon
📐 MathConvolution Interactive Visualization
Interactive demonstration of convolution: flip, slide, multiply, sum process in time and frequency domains
📐 MathGradient Descent / Newton Method
Animated comparison of optimization trajectories on 2D objectives
📐 MathCross-Entropy Loss Visualization
Interactive exploration of the most commonly used loss function in machine learning
📐 MathNewton Fractal / 牛顿分形
Newton's method iterative fractal - Basin of attraction visualization on complex plane
📐 MathBackpropagation Deep Dive
Understand BP systematically from history, math derivation, intuition, and engineering practice.
📐 MathFeedforward Neural Network / MLP
Multi-layer Perceptron - The Foundation of Deep Learning
📐 MathPerceptron/Neuron - The Fundamental Unit of Deep Learning
Interactive visualization of perceptron, activation functions, and neural network fundamentals
📐 MathNew Economics of Industrial Policy
Juhasz, Lane, Rodrik (2023-2024)
📐 MathDoughnut Economics - A 21st Century Framework for Sustainable Development
Interactive visualization of Kate Raworth's Doughnut Economics framework - understanding the safe and just space for humanity between social foundations and ecological ceilings
📐 MathModern Monetary Theory (MMT) - Theoretical Foundations, Analytical Framework, and Policy Implications
Interactive visualization of Modern Monetary Theory core concepts, sectoral balances identity, functional finance, and job guarantee mechanisms
📐 MathNew Structural Economics Visualization
Justin Yifu Lin - The Third Wave of Development Economics
📐 Math