The mathematical reasoning model performed as well as humans at prestigious international mathematics competitions.
J. R. Brown, Philosophy of mathematics: an introduction to the world of proofs and pictures, Routledge (1999). 2. R. B. Nelsen, Proofs without words I: exercises in ...
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Educational Studies in Mathematics, Vol. 94, No. 1 (January 2017), pp. 37-54 (18 pages) This paper reports the results of an international comparative study on the nature of proof to be taught in ...
Mathematicians have broken through a long-standing barrier in the study of “minimizing surfaces,” which play an important role in both math and physics. In the mid-19th century, the Belgian physicist ...
Fefferman’s proof—along with subsequently discovered connections to number theory, combinatorics, and other areas—revived interest in the Kakeya problem among top mathematicians. In 1995, Thomas Wolff ...
But primes are often considered the building blocks of mathematics, and math itself is the scaffolding that supports ...
The International Mathematical Olympiad (IMO) is probably the most prestigious competition for preuniversity students. Every year students from around the world compete for its coveted bronze, silver ...
"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 ...