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Mathematics

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How We Can Make Sense of Chaos

March 2, 2022

Dynamical systems can be chaotic and impossible to predict, but mathematicians have discovered tools to help understand them.

Play First and Lose: Zugzwang in Chess, Math and Pizzas

February 22, 2022

How to win games by going second and leaving your opponent with no good options.

Machine Learning Becomes a Mathematical Collaborator

February 15, 2022

Two recent collaborations between mathematicians and DeepMind demonstrate the potential of machine learning to help researchers generate new mathematical conjectures.

Computer Scientists Prove Why Bigger Neural Networks Do Better

February 10, 2022

Two researchers show that for neural networks to be able to remember better, they need far more parameters than previously thought.

An Ancient Geometry Problem Falls to New Mathematical Techniques

February 8, 2022

Three mathematicians show, for the first time, how to form a square with the same area as a circle by cutting them into interchangeable pieces that can be visualized.

Mathematicians Prove 30-Year-Old André-Oort Conjecture

February 3, 2022

A team of mathematicians has solved an important question about how solutions to polynomial equations relate to sophisticated geometric objects called Shimura varieties.

Why Triangles Are Easy and Tetrahedra Are Hard

January 31, 2022

The triangle angle sum theorem makes working with triangles easy. What happens when you can’t rely on it?

How Infinite Series Reveal the Unity of Mathematics

January 24, 2022

Infinite sums are among the most underrated yet powerful concepts in mathematics, capable of linking concepts across math’s vast web.

Mathematicians Clear Hurdle in Quest to Decode Primes

January 13, 2022

Paul Nelson has solved the subconvexity problem, bringing mathematicians one step closer to understanding the Riemann hypothesis and the distribution of prime numbers.

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