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A new proof establishes the boundary at which a shape becomes so corrugated, it can be crushed.
Two new approaches allow deep neural networks to solve entire families of partial differential equations, making it easier to model complicated systems and to do so orders of magnitude faster.
A new study shows that extreme black holes could break the famous “no-hair” theorem, and in a way that we could detect.
After translating some of math’s complicated equations, researchers have created an AI system that they hope will answer even bigger questions.
Einstein’s equations describe three canonical configurations of space-time. Now one of these three — important in the study of quantum gravity — has been shown to be inherently unstable.
Mathematicians regard the Collatz conjecture as a quagmire and warn each other to stay away. But now Terence Tao has made more progress than anyone in decades.
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