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AI Reveals New Possibilities in Matrix Multiplication
Inspired by the results of a game-playing neural network, mathematicians have been making unexpected advances on an age-old math problem.
A Mathematician Dancing Between Algebra and Geometry
Wei Ho, the first director of the Women and Mathematics program at the Institute for Advanced Study, combines algebra and geometry in her work on an ancient class of curves.
The Simple Geometry Behind Brownie Bake Offs and Equal Areas
Proving that two polygons have the same area can be as easy as cutting them up and rearranging the pieces.
Why This Universe? A New Calculation Suggests Our Cosmos Is Typical.
Two physicists have calculated that the universe has a higher entropy — and is therefore more likely — than alternative possible universes.
Computer Proof ‘Blows Up’ Centuries-Old Fluid Equations
For more than 250 years, mathematicians have wondered if the Euler equations might sometimes fail to describe a fluid’s flow. A new computer-assisted proof marks a major breakthrough in that quest.
The Gut Microbiome Helps Social Skills Develop in the Brain
New research in fish suggests that gut microbes can have a crucial early influence on the brain’s social development.
How to Think About Relativity
Albert Einstein’s ideas about space-time aren’t exactly intuitive, and they aren’t exactly Einstein’s, either.
New Chip Expands the Possibilities for AI
An energy-efficient chip called NeuRRAM fixes an old design flaw to run large-scale AI algorithms on smaller devices, reaching the same accuracy as wasteful digital computers.
Cryptography’s Future Will Be Quantum-Safe. Here’s How It Will Work.
Lattice cryptography promises to protect secrets from the attacks of far-future quantum computers.