Universal function
Appearance
A universal function is a function that can, in some defined way, imitate all other functions. This occurs in at least two contexts:
- In computer science, a universal function is a computable function capable of calculating any other computable function. It is shown to exist by the utm theorem.
- In mathematics, a universal function is one that contains subregions that approximate every holomorphic function to arbitrary accuracy. The Riemann zeta function (and some others) have this property.