Some seemingly simple sequences of multiplication and addition grow so quickly that they question the very foundations of ...

The painstaking process of formalization to verify proofs is starting to surge thanks to AI. That could radically change the ...

In the 1930s and 1940s, for example, a group of Polish mathematicians regularly met in a café in Lwów, Poland (now Lviv, ...

A group of mathematicians has announced a milestone in the effort to thoroughly verify the solution of the sphere-packing problem — for which the Ukrainian mathematician Maryna Viazovska won the ...

Download PDF Join the Discussion View in the ACM Digital Library The mathematical reasoning performed by LLMs is fundamentally different from the rule-based symbolic methods in traditional formal ...

Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...

Every October, there is an oyster event in Atlanta that we got turned onto a few years ago — and it's pretty much an oyster-lover's dream. It begins with an array of oyster and clam farmers from ...

Large language models (LLMs) have astounded the world with their capabilities, yet they remain plagued by unpredictability and hallucinations – confidently outputting incorrect information. In ...

This is an updated version of a story first published on Nov. 1, 2024 For centuries, students have learned that in a right triangle, the square of the hypotenuse equals the sum of the squares of the ...