In theory, quantum physics can bypass the hard mathematical problems at the root of modern encryption. A new proof shows how.

This book is a timely survey of much of the algebra developed during the last several centuries including its applications to algebraic geometry and its potential use in geometric modeling. The ...

Functions are one of the most fundamental concepts in mathematics, forming the foundation for topics in algebra, calculus and many other areas. A solid understanding of the basics of functions, ...

"The book is very well-written by one of the leading figures in the subject. It is self-contained, includes relevant recent advances and is enriched by a large number of examples and illustrations. In ...

Abstract: Nonlinear function calculation is widely used in numerous science and technology fields. Stochastic computation is a novel high-efficiency value representation and calculation scheme, which ...

This article gives a proof of the Langlands-Shelstad fundamental lemma for the spherical Hecke algebra for every unramified p-adic reductive group G in large positive characteristic. The proof is ...

The bad news is that there is no single solution to Rule 16. There’s not even a daily solution, the puzzle will be different each time you play the game. So you’re going to have to do one of two ...

Galileo once famously described the universe as a great book "written in mathematical language and its characters are triangles, circles, and other geometrical figures." Unfortunately, it's a language ...