List questions from uniform-continuity

Published on 23 Feb 2026 - 15:20

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Every continuous function $f: \mathbb{R} \to \mathbb{R}$ is uniformly continuous on every bounded set.

Published on 31 May 2013 - 22:09

894

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Show that the function $f: X \to \Bbb R$ given by $f(x) = d(x, A)$ is a continuous function.

Published on 12 Jun 2013 - 2:18

1.1k

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About uniformly continuity for bounded and continuous function

Published on 13 Jun 2013 - 8:32

1.4k

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problem about uniform continuity

Published on 14 Jun 2013 - 18:43

18.1k

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Is $\ln(x)$ uniformly continuous?

Published on 19 Jun 2013 - 17:58

25.1k

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Showing $x^3$ is not uniformly continuous on $\mathbb{R}$

Published on 24 Jun 2013 - 18:39

1k

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Uniform Continuity and Cauchy Sequences

Published on 26 Jun 2013 - 22:35

7.2k

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Is function $y=\tan x$ uniformly continuous in the open interval $(0,\pi/2)\;?$

Published on 05 Jul 2013 - 12:49

5.9k

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Determine whether $f(x)={\sin x \over x}$ is uniformly continuous in $\mathbb R$

Published on 05 Jul 2013 - 14:51

570

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Uniformly continuous on subsets

Published on 06 Jul 2013 - 0:05

812

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Uniform Continuity of functions and their restrictions

Published on 06 Jul 2013 - 14:46

2.3k

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Is determinant uniformly continuous?

Published on 07 Jul 2013 - 21:41

96

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Clarification of topological space definition in terms of neighborhoods

Published on 10 Jul 2013 - 1:39

56

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Checking Continuity and Differentiability

Published on 10 Jul 2013 - 11:17

List Question

A uniformly continuous function between totally bounded uniform spaces

Every continuous function $f: \mathbb{R} \to \mathbb{R}$ is uniformly continuous on every bounded set.

Show that the function $f: X \to \Bbb R$ given by $f(x) = d(x, A)$ is a continuous function.

About uniformly continuity for bounded and continuous function

problem about uniform continuity

Is $\ln(x)$ uniformly continuous?

Showing $x^3$ is not uniformly continuous on $\mathbb{R}$

Uniform Continuity and Cauchy Sequences

Is function $y=\tan x$ uniformly continuous in the open interval $(0,\pi/2)\;?$

Determine whether $f(x)={\sin x \over x}$ is uniformly continuous in $\mathbb R$

Uniformly continuous on subsets

Uniform Continuity of functions and their restrictions

Is determinant uniformly continuous?

Clarification of topological space definition in terms of neighborhoods

Checking Continuity and Differentiability

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