Probability: The Distribution Matters

Expected value only captures one aspect of a probability system.

June 2, 2024 · 7 min

Number Detective

Explaining an unexpected numerical pattern.

April 14, 2024 · 7 min

PIDs: Creating Stable Control in Games

Using a game use-case to motivate and explain PIDs

January 15, 2024 · 7 min

Infinite Systems Failing in a Finite World

Infinite systems don't have to worry about behavior at the edges but finite systems do.

December 17, 2023 · 8 min

π in Other Universes

How the value of π depends on the definition of distance.

October 29, 2023 · 10 min

Equivalence Relations and Partitions

An equivalence relation fully partitions a set.

November 15, 2021 · 5 min

Abstract Algebra: Introduction to Groups

Groups are a set with a binary operation that fits some requirements.

October 9, 2021 · 13 min