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To Make Language Models Work Better, Researchers Sidestep Language
We insist that large language models repeatedly translate their mathematical processes into words. There may be a better way. Language isn’t always necessary. While it certainly helps in getting across...
The Mathematical Shape of Things to Come
Scientific data sets are becoming more dynamic, requiring new mathematical techniques on par with the invention of calculus. VIDEO: Carlsson describes how topological analysis can help researchers interpret large data...
Simple Set Game Proof Stuns Mathematicians
...papers posted online in recent weeks, mathematicians have solved a problem about the pattern-matching card game Set that predates the game itself. The solution, whose simplicity has stunned mathematicians, is...
A Video Tour of the Standard Model
...so strong that it’s hard to see beyond it. And that, maybe, is where math comes in. Mathematicians will have to develop a fresh perspective on quantum field theory if...
In Noisy Equations, One Who Heard Music
...of Mathematicians in Seoul, South Korea. The Fields is widely viewed as the highest honor a mathematician can receive. Hairer, a professor at the University of Warwick in England, has...
How to Force Our Machines to Play Fair
...another to white applicants. But as recent work has shown — most notably in the book “Weapons of Math Destruction,” by the mathematician Cathy O’Neil — discrimination that we reject...
3-D Fractals Offer Clues to Complex Systems
...study equations and shapes using their own techniques. They twist and stretch mathematical objects, translate them into new mathematical languages, and apply them to new problems. As they find new...
The Illuminating Geometry of Viruses
...inactivated viruses. Twarock’s mathematical work also has applications beyond viruses. Govind Menon, a mathematician at Brown University, is exploring self-assembling micro- and nanotechnologies. “The mathematical literature on synthetic self-assembly is...
Kaisa Matomäki Dreams of Primes
...attend a boarding school that specialized in math instruction, and as a senior she won first prize in a national mathematics competition. When she began serious mathematical research as a...