A mathematical function does not do any calculation – it is purely a mapping from input to output. In fact, another way to think of defining a function is simply as the set of all the mappings. For ...

But now, after more than 40 years, the fifth value of the function has been revealed. ... The busy beaver function is the first example of a noncalculable mathematical expression.

Examples include the gamma, Bessel, and hypergeometric functions. Integral Transform: A mathematical operator that converts a function into another function (often in a different domain) through ...

Mathematicians used “magic functions” to prove that two highly symmetric lattices solve a myriad of problems in eight- and 24-dimensional space. The points could be an infinite collection of electrons ...