OpenAI researchers reveal how their experimental model, devoid of any external aids, powered through hours-long proofs to ...

This is a preview. Log in through your library . Abstract This study investigated relations between van Hiele levels, achievement in writing geometry proofs, and achievement in standard geometry ...

This is a preview. Log in through your library . Abstract ABSTRACT Geometry theorem proving involves skills that are difficult to learn. Instead of working with abstract and complicated ...

"Hearst Magazines and Yahoo may earn commission or revenue on some items through these links." A 125-page proof posted to arXiv may represent a huge breakthrough in geometric measure theory. This ...

If pure math can teach us anything, it’s this: occasionally, your special interest might just change the world. For Joshua Zahl and Hong Wang, that special interest was the Kakeya conjecture. “I read ...

Professor of Mathematics Jeremy Kahn won the 2012 Clay Research Award — one of the most prestigious awards in mathematics — for his work on hyperbolic geometry. Kahn and his collaborator Vladimir ...

This is an updated version of a story first published on Nov. 1, 2024 For centuries, students have learned that in a right ...

As he was brushing his teeth on the morning of July 17, 2014, Thomas Royen, a little-known retired German statistician, suddenly lit upon the proof of a famous conjecture at the intersection of ...