I have very fond memories of high school geometry. Memorizing theorems wasn't too hard, and solving proofs was like solving the logic puzzles that I did for fun anyway. But the theorems were scattered ...

The Pythagorean theorem, a cornerstone of mathematics for millennia, provides a method for determining unknown sides in right-angled triangles using the formula a² + b² = c². Its applications extend ...

Ergodic theory is a branch of mathematics that studies the long-term average behavior of dynamical systems. It has significant applications in various fields, including statistical mechanics, ...

Watch out, nerdy high schoolers, AlphaGeometry is coming for your mathematical lunch. Credit...Christian Gralingen Supported by By Siobhan Roberts Reported from Stanford, Calif. For four years, the ...

The mathematical concepts behind the “fundamental lemma,” as postulated by Robert P. Langlands and proven by Ngo Bao Chau, are exceedingly difficult to explain. So much so that when asked, many top ...

A University of Tartu student has come up with a new proof of the Pythagorean theorem using origami. While folding paper is already used — even in basic school — to demonstrate the well-known ...

Random fields provide a versatile mathematical framework to describe spatially dependent phenomena, ranging from physical systems and quantum chaos to cosmology and spatial statistics. Underpinning ...