Universal function
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, as described in Zeta function universality.
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