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Reinventing Shannon Information Theory: Entropy & Optimal Prefix Codes

Mathematician & Educator

32:19·2026·undergraduate level·Standalone Lecture

Derives Claude Shannon's 1948 entropy formula H(X) = -Σ p(x) log₂ p(x) from Kraft's inequality on binary prefix trees and connects lossless compression directly to language modeling.

How to study the compressibility of language.

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