uniformly continuous (English, adj)
expansion: uniformly continuous (not comparable)
Senses:
topics: mathematical-analysis
mathematics
sciences
glosses: 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).
tags: not-comparable
raw_tags: of a function from a metric space X to a metric space Y
Forms: