Some older adults develop the physical brain changes associated with Alzheimer’s disease but never experience memory loss or ...

The closest the field has come to solving the planar unit distance problem, first proposed in the 1940s, was in 1984. Now, OpenAI claims an internal model has cracked the puzzle.

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in ...

P vs. NP asks: are these two classes actually the same? If P = NP, then every “hard” problem is secretly fast to solve; we ...

Mathematician Will Sawin discusses his experience reviewing and refining a mathematical proof devised by OpenAI's internal ...

Last week, OpenAI shocked the mathematical community by revealing that one of its internal artificial intelligence (AI) ...

OpenAI makes big splash with AI finding math problem breakthrough. Real lesson is to use AI to find counterexamples. An AI ...

Then it’s kind of a mystery to try to figure out why and how they’re related.” The Riemann hypothesis has proved to be a font of surprising connections all over math and beyond it, to the realm of the ...

Glasses are non-crystalline but solid states of matter in which molecules and atoms are not arranged into a regular crystal ...

A robot that performs well in a controlled simulation can struggle when real-world conditions don't match what it was trained ...

Abstract: This paper presents an analytical approach for Black-Scholes European options model in the sense of powered modified log-payoff functions. This approach is based on the reduced differential ...