The Discrete Fourier Transform, From Scratch
How a list of audio samples reveals the frequencies that make up a sound, and the math that makes it work.
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Concentration of Measure
A technical companion to Politics and High Dimensional Probability — two proofs that Gaussian vectors in high dimensions live far from the origin.
Politics and High Dimensional Probability
Fighter jets, political polarization, and why your opinions are never truly centrist.
A Beginner's Guide to Information Entropy
From coin tosses to weather forecasts — building intuition for Shannon entropy and why information is the resolution of uncertainty.