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Advanced Labs

114 deep, interactive labs — from the math foundations through classical ML and deep learning to modern LLMs. Each one runs in your browser, every number real.

Foundations & Math

Summation Product Notation

Foundations & Math

Functions Limits Continuity

Foundations & Math

Sequences Series Convergence

Foundations & Math

Exp, Log & Softmax

Foundations & Math

Complex Numbers Euler

Foundations & Math

Derivatives Rules

Foundations & Math

Chain Rule

Foundations & Math

Partial Derivatives Gradient

Foundations & Math

Partial Derivatives Optimization

Foundations & Math

Jacobian Hessian

Foundations & Math

Integrals Expectation

Foundations & Math

Taylor Series

Foundations & Math

Convexity Optimization

Foundations & Math

Lagrange Multipliers

Foundations & Math

Vectors & Vector Spaces

Foundations & Math

Dot Product Cosine Similarity

Foundations & Math

Norms & Distances

Foundations & Math

Matrices & Arithmetic

Foundations & Math

Matrix Multiplication

Foundations & Math

Linear Transformations

Foundations & Math

Span Basis Independence

Foundations & Math

Rank Subspaces

Foundations & Math

Linear Systems Inverse

Foundations & Math

Determinants

Foundations & Math

Eigenvalues Eigenvectors

Foundations & Math

Orthogonality Projections

Foundations & Math

Quadratic Forms

Foundations & Math

Singular Value Decomposition

Foundations & Math

Probability Foundations

Foundations & Math

Joint Conditional Marginal

Foundations & Math

Bayes Probability

Foundations & Math

Random Variables Distributions

Foundations & Math

Common Distributions

Foundations & Math

Gaussian Distribution

Foundations & Math

Expectation Variance Moments

Foundations & Math

Covariance Correlation

Foundations & Math

Law of Large Numbers & CLT

Foundations & Math

Sampling Monte Carlo

Foundations & Math

Estimators & MLE

Foundations & Math

Maximum Likelihood Estimation

Foundations & Math

Bayesian Inference MCMC

Foundations & Math

Entropy Information