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Mathematical Simulations

Interactive visualizations of mathematical and physical phenomena

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Navier-Stokes Fluid Dynamics

Interactive 2D fluid simulation showcasing turbulence, vortices, and flow patterns. Click and drag to create forces in the fluid field.

Physics WebGL Real-time
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The Gambler's Dilemma

Interactive exploration of risk strategies: one big bet vs many small bets. Features Monte Carlo simulations and mathematical proofs.

Probability Monte Carlo Risk Analysis
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Stochastic Gradient Descent Worksheet

Interactive educational worksheet explaining the math behind ChatGPT. Learn gradient descent concepts with visualizations and hands-on exercises.

Machine Learning Educational Interactive

Laplace's Equation

Solve and visualize electrostatic potential fields with customizable charge distributions.

Electrostatics Field Theory GPU
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Lorenz Attractor

Experience chaos theory through the famous Lorenz system with adjustable parameters.

Chaos Dynamics 3D
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Monte Carlo Methods

Statistical simulations for calculating π, option pricing, and other probabilistic problems.

Statistics Probability Finance