uniformly continuous
gleichmäßig stetig
That for every real ε > 0 there exists a real δ > 0 such that for all pairs of points…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).
Meaning
1 senses(not comparable)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.
gleichmäßig stetig
Translations
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By meaning 1
property of a function:
Word family
1 related wordsRelateduniform continuity