Lab · Math

It is not knowledge, but the act of learning, not possession but the act of getting there, which grants the greatest enjoyment.― Carl Friedrich Gauss

Interactive mathematical explorations for computing, data science, and machine learning. Move an idea, see what changes, and make the connection concrete.

Explorations

The Monty Hall Problem↗Why switching doors doubles your chance of winning The Seven Bridges of Königsberg↗Can every bridge be crossed exactly once?Poker Hand Probabilities↗Count hands, calculate exact probabilities, and compare simulation

Probability

Expectation↗Weighted Average · Long-run Behavior · Balance Point Variance & Standard Deviation↗Spread · Data · Feature Scaling Normal Distribution & Z-Scores↗Location · Probability · Standardization Conditional Probability↗Sample Space · Evidence · Independence Bayes’ Theorem↗Prior · Evidence · Updated Probability

Linear Algebra

Vectors↗Magnitude · Direction · Components Matrices↗Rows · Columns · Operations Linear Transformations↗Matrices · Space · Composition Eigenvectors & Eigenvalues↗Special Directions · Scaling · Structure Principal Component Analysis↗Variation · Covariance · Projection