Dictionary

uniformly continuous en · ADJ

Meanings

1. (not-comparable, of a function from a metric space X to a metric space Y) 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)<δ, it must be the case that D_Y(f(x),f(y))<ϵ (where D_X and D_Y are the metrics of X and Y, respectively).
   • A uniformly continuous function is a function whose derivative is bounded.

Relateds

uniform continuity

Translations (16)

sv likformigt kontinuerlig (property of a function) · sh ра̏вномјерно не̏прекӣдан (property of a function) · de gleichmäßig stetig (property of a function) · sh ùnifōrmno nȅprekīdan (property of a function) · sh у̀нифо̄рмно не̏прекӣдан (property of a function) · sh rȁvnomjerno nȅprekīdan (property of a function) · sh rȁvnomerno nȅprekīdan (property of a function) · bg равномерно непрекъснат (property of a function) · sh jednòliko nȅprekīdan (property of a function) · pl jednostajnie ciągły (property of a function) · fr uniformément continu (property of a function) · mn жигд тасралтгүй (property of a function) · sh једно̀лико не̏прекӣдан (property of a function) · sh ра̏вномерно не̏прекӣдан (property of a function) · hu egyenletesen folytonos (property of a function) · is samfelldur í jöfnum mæli (property of a function)