In this video, we explain the capstan equation and how friction affects a rope or string wrapped around a surface. You’ll learn where the equation comes from, what each term means, and how it’s ...

GPT-5.2 Pro delivers a Lean-verified proof of Erdős Problem 397, marking a shift from pattern-matching AI to autonomous ...

Introduction: Although pacing is a variable that affects marathon running performance, there is a lack of studies that assessed whether it can improve performance prediction. The aim was to calculate ...

For decades, researchers have primarily treated Ramanujan’s formulas as tools for efficient calculation. Powerful computers can now use similar methods to compute pi to trillions of digits.