A harmonic increment provides a new way to improve smooth approximations of the minimum function. In a recent paper, ...

For decades, a fundamental question about the difficulty of computing in high-dimensional spaces has resisted proof. New research resolves this question, removing a major theoretical obstacle to ...

Version 1.3, 2026-10-15. Text and data CC BY 4.0, code Apache-2.0. Related problem record: Justin Sun Prize JSP-000015, "Kakeya dimension conjecture (general dimension)" (MathDB #315983). The Justin ...

Ask integrators what’s holding up their next project and the answer may surprise you. It isn’t lead times or a lack of business. It’s finding someone to program the system. According to AVIXA’s 2026 ...

Since you last thought about math, the people who think about math every day have been freaking out. A month ago, when OpenAI announced that one of its powerful internal models had cracked a ...

Read about how mathematicians are dealing with the AI takeover of their field in our feature here. But with the dust still far from settled, a different controversy is emerging: Did OpenAI even solve ...

NYU mathematics professor Tristan Buckmaster announced three proofs on Tuesday with a preliminary finding on one of the major unsolved problems in theoretical mathematics. The findings, made in ...

The company’s announcement is the most dramatic sign yet that artificial intelligence is fundamentally transforming the field of higher mathematics. By Cade Metz OpenAI said on Tuesday that its newest ...

Let’s start here: math’s most famous problem is no closer to being solved than it was a week ago. Neither humans nor artificial intelligence have made progress on the Riemann hypothesis. But AI did ...

“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 ...

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Critics of artificial intelligence caution that, as a relatively new technology, its long-term effects on the human brain are still unknown. But a new study shows that AI could be dangerous even in ...