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Definition of Uniformly continuous
1. Adjective. (analysis) (context: of a function from a metric space X to a metric space Y) That for every real ''?'' > 0 there exists a real ''?'' > 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). ¹
¹ Source: wiktionary.com
Lexicographical Neighbors of Uniformly Continuous
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