UNIFORMLYCONTINUOUS

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


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