uniformly continuous

Fetched 2026-10-26 (cache).

Datamuse reports no synonyms or antonyms for this word.

Adjective

1. {{lb|en|analysis|of a function from a metric space X to a metric space Y}} That for every [[real number|real]] ''ε'' > 0 there exists a real ''δ'' > 0 such that for all pairs of points ''x'' and ''y'' in ''X'' for which <math>D_X (x, y) < \delta </math>, it must be the case that <math>D_Y (f(x), f(y)) < \epsilon </math> (where ''D''_''X'' and ''D''_''Y'' are the [[metric]]s of ''X'' and ''Y'', respectively).

Source: Wiktionary · CC BY-SA 4.0 (Wiktionary dump) · cached copy, not a rewrite.