uniformly continuous function

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If the domain and range of a function are both metric spaces in which, for every ɛ>0 in the domain there exists a single δ>0 in the range so that for all x in the domain |f(x+δ)−f(x)| < ɛ. For continuity only, the value of δ can depend on x as well as ɛ.

Subjects: Mathematics.

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