One July afternoon in 2024, Ryan Williams set out to prove himself wrong. Two months had passed since he’d hit upon a startling discovery about the relationship between time and memory in computing.

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 ...

Algorithms are the fundamental procedures that guide computers in solving problems, from simple calculations to complex data analysis. At their core, an algorithm is a set of step-by-step instructions ...