Uniformly Cauchy sequence

In mathematics, a sequence of functions from a set S to a metric space M is said to be uniformly Cauchy if: * For all , there exists such that for all : whenever . Another way of saying this is that as , where the uniform distance between two functions is defined by

Uniformly Cauchy sequence

In mathematics, a sequence of functions from a set S to a metric space M is said to be uniformly Cauchy if: * For all , there exists such that for all : whenever . Another way of saying this is that as , where the uniform distance between two functions is defined by