uniformly continuous

Adjective

 * 1)  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 $$D_X (x, y) < \delta $$, it must be the case that $$D_Y (f(x), f(y)) < \epsilon $$ (where DX and DY are the metrics of X and Y, respectively).

Usage notes
This property is, by definition, a global property of the function's domain. That is, there is no such thing as "uniform continuity at a point," since the choice of δ for a given ε does not depend on where the points x and y are located in X.

Translations

 * French: uniformément continu
 * German: gleichmäßig stetig
 * Hungarian: egyenletesen folytonos
 * Icelandic: samfelldur í jöfnum mæli
 * Mongolian: жигд тасралтгүй
 * Polish: jednostajnie ciągły
 * Serbo-Croatian:
 * Cyrillic: ра̏вномјерно не̏прекӣдан,  ра̏вномерно не̏прекӣдан, једно̀лико не̏прекӣдан, у̀нифо̄рмно не̏прекӣдан
 * Roman: rȁvnomjerno nȅprekīdan,  rȁvnomerno nȅprekīdan, jednòliko nȅprekīdan, ùnifōrmno nȅprekīdan
 * Swedish: