Uniformly-continuous Definition

adjective

(analysis, 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 , it must be the case that (where DX and DY are the metrics of X and Y, respectively).

A uniformly continuous function is a function whose derivative is bounded.
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