In work that has been 30 years in the making, mathematicians have proved a major part of a profound mathematical vision called the Langlands program. A group of nine mathematicians has proved the ...

This is an updated version of a story first published on Nov. 1, 2024 For centuries, students have learned that in a right ...

This is a preview. Log in through your library . Abstract We give a geometric proof of the Berger Holonomy Theorem. The proof uses Euclidean submanifold geometry of orbits and gives a link between ...

Pythagoras Theorem: This article explains the concept of Pythagoras Theorem and its converse. Know the definition, formula, proof, examples and applications of Pythagoras Theorem. Pythagoras Theorem: ...

THERE are many geometrical results which are not directly formulated or stated in Euclid's Elements, which are yet constantly turning up in the solution of geometrical problems, and it is very ...

Bill Whitaker is an award-winning journalist and 60 Minutes correspondent who has covered major news stories, domestically and across the globe, for more than four decades with CBS News. A high school ...