Mathematics
- Pigeonhole Principle - Too Many Objects, Too Few Boxes Dec 2020 - 8 min read
- Generating Functions - Sequences Disguised as Power Series Dec 2020 - 8 min read
- Kalai-Smorodinsky Bargaining - A Fairer Solution Than Nash May 2024 - 8 min read
- Linear Programming & Simplex - Optimizing Along the Edges of a Polytope Nov 2024 - 21 min read
- Convex Geometry - Shapes Where the Straight Path Is Always the Shortest Nov 2024 - 21 min read
- The Legendre Transform - Swapping Variables, Preserving Structure Sep 2024 - 7 min read
- Convex Optimization - The Landscape Where Gradient Descent Always Wins Dec 2020 - 17 min read
- Lagrange Multipliers & KKT - Optimization When You Can't Move Freely Dec 2020 - 17 min read
- Convexity - When Local Minimum Means Global Minimum Dec 2020 - 20 min read
- Hessians & Second-Order Methods - Curvature, Not Just Slope Dec 2020 - 27 min read
- Vector Calculus for ML - Derivatives in Every Direction at Once Dec 2020 - 26 min read
- The Chain Rule - How Derivatives Compose Through Layers Dec 2020 - 19 min read
- Gradients & Partial Derivatives - Slopes in Every Direction at Once Dec 2020 - 26 min read
- Statistics - Turning Data Into Defensible Claims Mar 2022 - 9 min read
- Recurrence Relations - Equations That Define Themselves Sep 2024 - 9 min read
- Automata Theory - What Machines Can and Cannot Compute Apr 2021 - 15 min read
- Predicate Calculus & Set Theory - The Language Beneath All Mathematics Sep 2024 - 22 min read
- Propositional Logic - Truth, Falsity, and the Connectives Between Them Sep 2024 - 24 min read
- Concentration Inequalities - How Far Can a Random Variable Stray From Its Mean? Mar 2022 - 8 min read
- Law of Large Numbers & CLT - Why Averages Behave Mar 2022 - 9 min read
- Moment-Generating Functions - All a Distribution's Moments in One Package Mar 2022 - 8 min read
- Probability Distributions - The Shapes That Randomness Takes Mar 2022 - 10 min read
- Joint Distributions - What Multiple Random Variables Know About Each Other Mar 2022 - 8 min read
- Expectation, Variance & Covariance - The Center, the Spread, and the Relationship Mar 2022 - 18 min read
- Random Variables - Putting Numbers on Uncertain Outcomes Mar 2022 - 14 min read