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

Math classrooms shifted over time to the discovery model. Not suddenly, and not without good intentions. There was a ...

Spread the love“`html When it comes to tackling high school math, having the right tools can make a world of difference. Graphing calculators have become an essential part of the academic toolkit, ...

Large language models can write essays, solve math problems, and generate computer code, but it’s not fully understood how ...

Abstract: In many areas of knowledge, situations in which we have to model and solve optimization problems are recurrent. Among the mathematical theories that support the solution of such problems, ...

A new benchmark pitting AI against previously unseen maths problems shows that systems still fall short of top human expertise. Artificial intelligence has undergone its most scrupulous maths test yet ...

Artificial intelligence is mastering the kinds of projects that have long helped to build the careers of young mathematicians. What does that mean for their future? Credit...Illustrations by Yoshi ...

Place any number of dots on a two-dimensional plane—say, a piece of paper—and measure the distance between each pair. If you rearrange the dots, how many pairs could be positioned exactly the same ...

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...

“If you are a mathematician,” one of the world’s leading mathematicians recently wrote, “you may want to make sure you are sitting down before reading further.” And you’ll definitely need to sit down ...

Three mathematicians have laid out proof that solves a long-standing problem in mathematics. Even the mathematician—an Abel prize winner—that first posed the problem didn't believe it would ever be ...