Philosophical Transactions: Mathematical, Physical and Engineering Sciences, Vol. 377, No. 2140, Theme issue: The notion of ‘simple proof’ - Hilbert’s 24th problem (11 March 2019), pp. 1-11 (11 pages) ...
It is shown how the 300 rays associated with the antipodal pairs of vertices of a 120-cell (a four-dimensional regular polytope) can be used to give numerous "parity proofs" of the Kochen-Specker ...
IN many respects an excellent little book, in which blank pages are left for the pupil to insert his own proofs of the simpler propositions which are treated as riders. It is not in accordance with ...
IT is unfortunate that F. P. Wolfkehl's legacy of a prize for settling the vexed question of “Fermat's Last Theorem” should have stimulated such a large erroneous mathematical literature. Most of the ...
What began as a bonus question in a high school math contest has resulted in a staggering 10 new ways to prove the ancient mathematical rule of Pythagoras' theorem. "There are no trigonometric proofs ...
Editor’s note: This article was initially published in The Daily Gazette, Swarthmore’s online, daily newspaper founded in Fall 1996. As of Fall 2018, the DG has merged with The Phoenix. See the about ...
In a recent study, a team of researchers from Google DeepMind has introduced AlphaGeometry, an Artificial Intelligence (AI) system that can easily solve geometry Olympiad questions almost as well as a ...
Artificial Intelligence and Machine Learning are the trending fields of today’s time. With the immense progress being made in AI, new innovations are transforming the way humans interact with machines ...
We give two new proofs of the differential family index theorem by the Atiyah-Singer family index theorem, the formula of the differential Chern character of the differential topological index, and ...
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