math

On RMS matched Muon

A short note on some aspects of long context attention

Simple Rules, Complex Dynamics – Part I: Foundations & Intuition

Theoretical properties of optimizers on a toy problem, and some intuition

August 2, 2025 · 48 min · 10137 words · nor

Deriving RoPE the proper way

July 28, 2025 · 25 min · 5177 words · nor

Solving the IMO 2025 problems

July 19, 2025 · 17 min · 3514 words · nor

Quantizing LLMs for inference

May 14, 2025 · 32 min · 6685 words · nor

A Math Academy review

The intuition and the math behind Simpson's paradox

Implementing FFT

An elementary way of solving recurrences

The Akra-Bazzi theorem - a generalization of the master theorem for recurrences

On lambdas, C++ and otherwise: the what, the why, and the how

The Floyd-Warshall algorithm and its generalizations

Floors, ceilings and inequalities for beginners (with some programming tips)

A comprehensive guide to permutations for beginners

Greedoids: a formal way to look at families of greedily-solvable problems

Probability 101, the intuition behind martingales and solving problems with them

Catalan Numbers and Generating Uniform Balanced Bracket Sequences

Generalized Möbius Inversion on Posets