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Sizing up patternless sets is hard, so mathematicians rely on simple bounds to help answer their questions.
The “pinball” model of a slipping fault line borrows from the mathematics of avalanches.
The legendary mathematician, who died on April 11, was curious, colorful and one of the greatest problem-solvers of his generation.
A landmark proof in computer science has also solved an important problem called the Connes embedding conjecture. Mathematicians are working to understand it.
The laws of physics imply that the passage of time is an illusion. To avoid this conclusion, we might have to rethink the reality of infinitely precise numbers.
Mathematicians have figured out how to expand the reach of a mysterious bridge connecting two distant continents in the mathematical world.