The difficult problem OpenAI claims to have solved began with a remark made by the university president in the Tohoku University cafeteria 110 years ago

On October 26, OpenAI announced that it had made three new discoveries in mathematics, computer science, and physics.The most ...
Crypto Briefing

OpenAI says its models proved the local smoothing conjecture in every dimension

OpenAI says its models proved the local smoothing conjecture in every dimension, resolving Kakeya and Stein, with a Lean ...
Wired

A New Proof Moves the Needle on a Sticky Geometry Problem

The original version of this story appeared in Quanta Magazine. In 1917, the Japanese mathematician Sōichi Kakeya posed what at first seemed like nothing more than a fun exercise in geometry. Lay an ...
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OpenAI announces three AI research breakthroughs in computer science, physics, and mathematics.

Jiahuan, ChainCatcherOn October 26, OpenAI unveiled three research findings generated by its internal models, covering ...
Futurity News

Mathematicians solve a decades-old problem

Mathematicians have resolved a decades-old geometric problem, the Kakeya conjecture in 3D, which studies the shape left behind by a needle moving in multiple directions. The Kakeya conjecture was ...
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Mathematicians Wrote a Proof for a 100-Year-Old Problem—and May Have Just Changed Geometry

"Hearst Magazines and Yahoo may earn commission or revenue on some items through these links." may represent a huge breakthrough in geometric measure theory. This problem has implications in fields ...
Wired

A New Proof Moves the Needle on a Sticky Geometry Problem

In 1919, just a couple of years after Kakeya posed his problem, the Russian mathematician Abram Besicovitch showed that if you arrange your needles in a very particular way, you can construct a thorny ...