Numbers like pi, e and phi often turn up in unexpected places in science and mathematics. Pascal's triangle and the Fibonacci sequence also seem inexplicably widespread in nature. Then there's the ...

Mathematical methods and special functions form a cohesive toolkit for modelling, analysing and solving a vast array of problems in the physical sciences and engineering. Integral transforms—most ...

The Handbook of Mathematical Functions by Milton Abramovich and Irene Stegun is the one book I would wish to have on a desert island. Unlike a novel, it withstands infinities of rereadings. Its ...

A mathematician announced that he used one of Anthropic's A.I. models to find a counterexample to a problem called the Jacobian conjecture. While experts consider it a milestone, the work raises quest ...

Hybrid hash function post-quantum cryptography research: a new paper on IACR ePrint formalizes a construction whose collision resistance simultaneously requires breaking both the elliptic-curve ...

A rule for creating a "y" output from an "x" input. For example, the y value of the function f(x) = 15x is 30 if x is 2. THIS DEFINITION IS FOR PERSONAL USE ONLY. All other reproduction requires ...