OpenAI Group PBC revealed Saturday that an internal version of Astra, the model family it calls its next major release, ...

OpenAI's unreleased Astra model has produced what its October 2025 announcement only pretended to: genuine solutions to ten long-standing open problems in mathematics and theoretical computer science, ...

Alpöge’s discovery is the latest in a string of high-profile mathematical breakthroughs made by large language models. Recent examples include OpenAI’s disproof of the unit distance conjecture, and ...

Discovered by an amateur mathematician in 2022, this strange construct can tile an infinite surface without repeating. But ...

Safari Technology Preview 248 delivers native BigInt Math as a JavaScript built-in for the first time, eliminating ...

It’s been 250 years since the signing of the Declaration of Independence — a milestone that invites not just celebration, but reflection. To illustrate two and a half centuries of U.S. history, Here & ...

Your browser does not support the audio element. In January 2025 I was in Santa Clara, California writing some JavaScript to perform some reporting. I wanted to be ...

In modern web application development, the accurate manipulation of numerical data underpins every function, from dynamic changes in user interfaces to physics simulations and complex business logic.

A Mathematician with early access to XAI Grok 4.20, found a new Bellman function for one of the problems he had been working on with my student N. Alpay. Not an Erdős problem, but original research.

There is a rule in mathematics that feels so obvious it barely seems worth stating. Yet accepting it leads to objects with no size, spheres that duplicate themselves, and sets that cannot be measured ...

When a delicate object crashes onto the floor, most people expect it to shatter into several pieces. What they might not know, however, is that the sizes of those fragments—whether from a broken plate ...

For the past several years, America has been using its young people as lab rats in a sweeping, if not exactly thought-out, education experiment. Schools across the country have been lowering standards ...