Differential manifolds provide higher dimensional generalizations of surfaces. They appear in a very natural manner in many areas of mathematics and physics. On a differential manifold or more ...

Abstract: Some researchers have successfully utilized multiple representation theories in the learning of certain mathematical subjects. However, the analysis of geometry proof problems from the ...

A playful but interesting geometrical concept that challenges the intuition of everyday life is the Pizza Theorem. According to this theorem, when you divide a circular pie into a number of pieces ...

If two people pick alternate slices from a pizza that has been cut unevenly from an off-centre point, common sense suggests one of them will walk away with more. But geometry says otherwise.In the ...

Abstract: The problem of automated theorem finding is one of 33 basic research problems in automated reasoning which was originally proposed by Wos in 1988, and it is still an open problem. The ...

THIS is an interesting contribution to the subject treated of by Riemann, Helmholtz, and others, and in this country by Prof. Clifford. The question is considered from the standpoint of elementary ...

A decades-old rule in mathematics has just been pushed beyond its long-standing limits, opening new ground for how scientists describe the physical world. At the University of Vaasa in Finland, ...

Chinese AI startup DeepSeek on Thursday, November 27, unveiled a new open-weight AI model designed to generate and self-verify mathematical theorems using advanced reasoning skills that the company ...

In September, McKellar joined an episode of the podcast “Hey Dude… The 90s Called!” When asked about the mathematical physics theorem she co-authored, she sheepishly said, “I mean, it’s only famous ...

ABSTRACT: We consider an associated Riemannian metric induced by a rigging defined on a neighborhood of the null hypersurface in a Lorentzian manifold, and we connect this null geometry with the ...

Napoleon Bonaparte, First Consul. Work by Ingres. It was during this period that he came into contact with the theorems. Credit: Public domain / Wikimedia Commons His political stance allowed him to ...