LLMs have recently helped find solutions to a number of minor longstanding problems. But a new plan called First Proof is really putting them to the test ...

Abstract: For an undirected graph $G=(V, E)$ and a k-nonnegative integer vector $p=\left(p_{1}, \ldots, p_{k}\right)$, a mapping $l: V \rightarrow$ $\mathbb{N} \cup ...

Births in Türkiye fell again in 2025, continuing a decline that has put NATO's youngest population on a course President Recep Tayyip Erdoğan has called a "demographic disaster." It’s a familiar ...

WASHINGTON—The Federal Reserve entered a new holding pattern on interest rates Wednesday and signaled little urgency to resume cuts after contentious reductions at officials’ three previous meetings.

A police drive to tackle shoplifting has put Teesside "top of the country" for solving thefts, according to a senior officer. Cleveland Police is currently solving around a third of shop thefts, ...

Dropping rates more than conditions warrant would stimulate the economy in the short term but could lead to trouble, our columnist says. By Jeff Sommer Jeff Sommer writes Strategies, a weekly column ...

Since Mel joined the League of Legends roster following Arcane Season 2’s conclusion, she has been a significant problem for the game’s balance. And that’s about to change. Mel’s largely uninteractive ...

President Donald Trump earlier this month gave credit card companies until Tuesday, Jan. 20, to comply with his call to cap interest rates at 10% for one year. The goal is to limit the amount of ...