Grok 4.5 constructed a counterexample proving hypercontractivity fails on the 4-sphere, closing a decades-old gap in ...

How can you have a proof without proving anything? Mathematicians found a way and, in the process, came to blows over it – ...

Looking for help with today's New York Times Pips? We'll walk you through today's puzzle and help you match dominoes to tiles ...

From Bill Callahan to Boards of Canada to Sluice to Soft Curse to Wendy Eisenberg to Olivia Rodrigo, here are our favorite albums of 2026 so far.

A fireworks display launches 40 fireworks in sequence. Each firework reaches a random height, independent of the height that ...

"It's virtually the only place we can add a large increase of new housing," said one real estate expert.

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