Uniformly continuous

Related Terms:

Adjective

Definition: 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).

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