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How to pronounce “uniformly continuous”
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Pronunciation guide for uniformly continuous
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- Practice the English pronunciation of uniformly continuous with real speech in context.
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- Definition summary
- (mathematical 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
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A Deep Dive Into “uniformly continuous”
Meaning
- [Adjective]
- (mathematical 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
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- {\displaystyle D_{X}(x,y)<\delta }
- , it must be the case that
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- {\displaystyle D_{Y}(f(x),f(y))<\epsilon }
- (where DX and DY are the metrics of X and Y, respectively).
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