English-German translations for uniformly continuous

• gleichmäßig stetig

Definition of uniformly continuous

• That for every real ''ε'> 0 there exists a real ''δ'> 0 such that for all pairs of points ''x'and ''y'in ''X'for which , it must be the case that (where ''D''_''X'' and ''D''_''Y'' are the metrics of ''X'and ''Y'', respectively

Examples

• A uniformly continuous function is a function whose derivative is bounded

Related words

• uniform
• uniformity
• uniformly
• uniformed
• uniformitarianism
• uniformization
• uniformize
• nonuniform
• nonuniformly
• runiform