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Two US high school girls rewrite 2,000 years of mathematics with a new Pythagorean proof once thought untouchable
For centuries, the Pythagorean Theorem has occupied a unique position in mathematics: both elementary and profound. Its ...
Landmark results in geometry and number theory marked an exciting year for mathematics, at a time when advances in artificial intelligence are starting to transform the subject’s future. In May, a ...
Mathematicians have proved a key building block of the Langlands programme, sometimes referred to as a “grand unified theory” of maths due to the deep links it proposes between seemingly distant ...
"Hearst Magazines and Yahoo may earn commission or revenue on some items through these links." A 125-page proof posted to arXiv may represent a huge breakthrough in geometric measure theory. This ...
An artificial-intelligence (AI) tool can rigorously prove whether geometric facts — statements about two-dimensional shapes such as triangles or polygons — are true, just as well as competitors in the ...
https://doi.org/10.4169/amer.math.monthly.122.03.233 https://www.jstor.org/stable/10.4169/amer.math.monthly.122.03.233 The Monthly publishes articles, as well as ...
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