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uniformly continuous (Definition)
UniformlyContinuousFunction

"uniformly continuous" is owned by n3o.
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See Also: uniform continuity

Also defines:  uniformly continuous function

Attachments:
uniformly continuous on $\mathbb{R}$ is roughly linear (Theorem) by Mathprof
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Cross-references: Heine-Cantor theorem, compact, sequences, uniform convergence, preserve, Cauchy sequences, map, property, distances, uniform spaces, even, metric spaces, uniform continuity, domain, function, converse, continuous, points, positive, line, real, subset, real function
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This is version 11 of uniformly continuous, born on 2002-06-07, modified 2006-09-21.
Object id is 3068, canonical name is UniformlyContinuous.
Accessed 24412 times total.

Classification:
AMS MSC26A15 (Real functions :: Functions of one variable :: Continuity and related questions )

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Metric spaces by AxelBoldt on 2002-06-07 12:31:40
Maybe we could mention that the same definition can be used for any function between two metric spaces (or even uniform spaces) and that uniformly continuous functions map Cauchy sequences to Cauchy sequences and are therefore continuous.
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