Uniformly Cauchy sequence
id:
uniformly-cauchy-sequence-204-17325844
title:
Uniformly Cauchy sequence
text:
In mathematics, a sequence of functions { f n } from a set S to a metric space M is said to be uniformly Cauchy if:
- For all ε > 0, there exists N > 0 such that for all x ∈ S : d < ε whenever m, n > N. Another way of saying this is that d u → 0 as m, n → ∞, where the uniform distance d u between two functions is defined by
- d u := sup x ∈ S d.
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Uniformly_Cauchy_sequence
date created:
2006-09-28T00:17:27Z
date modified:
2024-09-10T01:41:53Z
main entity:
{"identifier":"Q7885144","url":"https://www.wikidata.org/entity/Q7885144"}
image:
fields total:
13
integrity:
14