The original version of this story appeared in Quanta Magazine. One July afternoon in 2024, Ryan Williams set out to prove himself wrong. Two months had passed since he’d hit upon a startling ...

In this video, we delve into the fascinating world of big number multiplication and explore how computers perform this task efficiently. Traditional multiplication has a time complexity of O(n^2), but ...

Primal methods constitute a common approach to solving (combinatorial) optimization problems. Starting from a given feasible solution, they successively produce new feasible solutions with ...