Question

What's the difference between uniformly equicontinuous and uniformly continuous?

score 10.4k · Answer 1 · 2016-02-27 20:25:16

10.4k

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What's the difference between uniformly equicontinuous and uniformly continuous?

Published on 27 Feb 2016 - 20:25

score 234 · Answer 2 · 2016-03-01 18:40:07

234

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How is it not the case that every continuous function is uniformly continuous?

Published on 01 Mar 2016 - 18:40

score 1.6k · Answer 3 · 2016-03-03 00:09:31

1.6k

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If a sequence $(f_n)$ do not converge uniformly, then no subsequence of $(f_n)$ converge uniformly

Published on 03 Mar 2016 - 0:09

score 1.8k · Answer 4 · 2016-03-05 00:24:57

1.8k

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Counterexample: Continuous, but not uniformly continuous functions do not preserve Cauchy Sequences

Published on 05 Mar 2016 - 0:24

score 352 · Answer 5 · 2016-03-05 12:47:36

352

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Given a continuous function with an asymptote, prove that the function is uniformly continuous.

Published on 05 Mar 2016 - 12:47

score 49 · Answer 6 · 2026-03-30 07:11:39

49

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On differentiable functions on real line satisfying $f'(x)\ge f(x)^2 , \forall x>0$

Published on 30 Mar 2026 - 7:11

score 74 · Answer 7 · 2016-03-09 19:07:46

74

Views

Explain why the following conjecture for $f(x)=[x]+(x-[x])^{[x]}$ is not correct?

Published on 09 Mar 2016 - 19:07

score 348 · Answer 8 · 2026-03-30 07:04:10

348

Views

Mean-Value Theorem Hypothesis

Published on 30 Mar 2026 - 7:04

score 1.9k · Answer 9 · 2016-03-13 17:59:03

1.9k

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Showing $\tan x$ is uniformly continuous in $[0,\pi/4]$

Published on 13 Mar 2016 - 17:59

score 76 · Answer 10 · 2016-03-14 03:59:50

76

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What is the difference between $\implies$ and $\land$ in definition of continuity

Published on 14 Mar 2016 - 3:59

score 142 · Answer 11 · 2016-03-15 11:04:56

142

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uniformly continuous functions on infinite open interval $(0, \infty)$

Published on 15 Mar 2016 - 11:04

score 158 · Answer 12 · 2016-03-17 16:59:25

158

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Asymptotics of uniformly continuous functions over $\mathbb R$

Published on 17 Mar 2016 - 16:59

score 93 · Answer 13 · 2016-03-17 18:08:57

93

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Let $f: X \subset \mathbb{R}^n\to \mathbb{R}^m$. Then, $f$ is uniformly continuous if, and only if, for every sequence...

Published on 17 Mar 2016 - 18:08

score 90 · Answer 14 · 2016-03-17 23:37:33

90

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Is there an uniformly continuous $[0,\infty) \rightarrow \mathbb R$ surjection?

Published on 17 Mar 2016 - 23:37

score 42 · Answer 15 · 2016-03-20 21:41:47

42

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Uniform continuity piece wise lienar

Published on 20 Mar 2016 - 21:41

List Question

What's the difference between uniformly equicontinuous and uniformly continuous?

How is it not the case that every continuous function is uniformly continuous?

If a sequence $(f_n)$ do not converge uniformly, then no subsequence of $(f_n)$ converge uniformly

Counterexample: Continuous, but not uniformly continuous functions do not preserve Cauchy Sequences

Given a continuous function with an asymptote, prove that the function is uniformly continuous.

On differentiable functions on real line satisfying $f'(x)\ge f(x)^2 , \forall x>0$

Explain why the following conjecture for $f(x)=[x]+(x-[x])^{[x]}$ is not correct?

Mean-Value Theorem Hypothesis

Showing $\tan x$ is uniformly continuous in $[0,\pi/4]$

What is the difference between $\implies$ and $\land$ in definition of continuity

uniformly continuous functions on infinite open interval $(0, \infty)$

Asymptotics of uniformly continuous functions over $\mathbb R$

Let $f: X \subset \mathbb{R}^n\to \mathbb{R}^m$. Then, $f$ is uniformly continuous if, and only if, for every sequence...

Is there an uniformly continuous $[0,\infty) \rightarrow \mathbb R$ surjection?

Uniform continuity piece wise lienar

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