The Kakeya set—named for its discoverer Sōichi Kakeya—was complicated by a subsequent mathematician named Abram Samoilovitch ...
Turns out generative AI and LLMs are bad at devising math proofs. That's a surprise. Worse still is that the AI tries to make ...
A new proof solves the “Kakeya conjecture” in three dimensions, opening up a new set of possibilities for mathematics, from computer science to cryptography ...
By solving part of the Langlands program, a mathematical proof that was long thought to be unachievable, Dennis Gaitsgory ...
The Breakthrough Prize Foundation today announced the winners of the 2025 Breakthrough Prizes, honoring scientists driving ...
Physicists have proposed a new model of space-time that may provide the 'first observational evidence supporting string ...
Using advanced mathematical tools inspired by physics, the team has derived a general equation for any number of tangent ...
When pigeons outnumber pigeonholes, some birds must double up. This obvious statement — and its inverse — have deep ...
For a long time, the Kakeya conjecture, which involves rotating an infinitely narrow needle, kept mathematicians ...
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