Researchers have solved a long-standing problem in topology by helping classify four-dimensional shapes (4-manifolds) that ...
A mathematical problem solved by Susanna Heikkilä relates to the classification of quasiregularly elliptic 4-manifolds, ...
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Two American Teenage Girls Challenge 2,000 Years of Mathematics with a Groundbreaking Proof of Pythagoras’ TheoremFor over 2,000 years, Pythagoras’ theorem has stood as one of the cornerstones ... Despite thousands of proofs—ranging from Euclid to modern algebraic approaches—it was widely believed ...
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