Online algorithms are designed to make decisions sequentially, without complete knowledge of future inputs. In many real-world applications—from scheduling and resource allocation to network ...

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 ...

Sorting algorithms are a common exercise for new programmers, and for good reason: they introduce many programming ...

When it comes to teaching math, a debate has persisted for decades: How, and to what degree, should algorithms be a focus of learning math? The step-by-step procedures are among the most debated ...

In the ever-evolving realm of digital landscapes, where Google and social media platforms dictate the rules, staying ahead of the game is crucial. The dynamic nature of algorithms makes it essential ...

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.

During my time working with tech companies navigating the early boom of AI adoption, I noticed a strange duality. Developers proudly open-sourced breakthrough models one week—and raced to patent their ...