Question

Is there a bounded rational function that is not uniformly continuous on $\mathbb{R}$?

score 238 · Answer 1 · 2018-11-16 21:08:20

238

Views

Is there a bounded rational function that is not uniformly continuous on $\mathbb{R}$?

Published on 16 Nov 2018 - 21:08

score 20 · Answer 2 · 2018-11-17 12:50:38

20

Views

Is $ f \colon \mathbb{R^2} \to \mathbb{R^2} , f(x,y) = ( x^2, y^2) $ uniformly continuous on $\mathbb{R^2}$

Published on 17 Nov 2018 - 12:50

score 21 · Answer 3 · 2018-11-18 15:42:56

21

Views

Problem: Is function unifomly continuous?

Published on 18 Nov 2018 - 15:42

score 65 · Answer 4 · 2018-11-19 11:20:36

65

Views

Is $ f \colon (1, +\infty) \to \mathbb{R} , f(x) = \sin \frac{1}{x} $ uniformly continuous?

Published on 19 Nov 2018 - 11:20

score 132 · Answer 5 · 2018-11-19 14:40:13

132

Views

An element of a set with a finite cover must be an element of at most two open intervals in a subcover?

Published on 19 Nov 2018 - 14:40

score 770 · Answer 6 · 2026-03-26 16:04:54

770

Views

If $\,f$ and $g$ are continuous with compact support then $f*g$ (convolution ) is also continuous with compact support

Published on 26 Mar 2026 - 16:04

score 45 · Answer 7 · 2018-11-21 19:16:08

45

Views

Is the function uniformly continuous? .

Published on 21 Nov 2018 - 19:16

score 149 · Answer 8 · 2018-11-21 19:59:48

149

Views

Approximating a continuous function by a sawtooth function

Published on 21 Nov 2018 - 19:59

score 362 · Answer 9 · 2018-11-30 09:17:46

If $f(x)$ is a continously differentiable function such that $f'(x)$ is unbounded, then $f(x)$ is not unifromly continuous?

score 567 · Answer 10 · 2018-12-01 06:47:42

567

Views

How to show that if $f^2(x)$ is uniformly continous function then f is uniformly continous

Published on 01 Dec 2018 - 6:47

score 312 · Answer 11 · 2018-12-01 22:36:45

312

Views

Real Analysis - Continuity

Published on 01 Dec 2018 - 22:36

score 1k · Answer 12 · 2026-03-26 03:10:52

1k

Views

Bounded Harmonic Functions on the Disk

Published on 26 Mar 2026 - 3:10

score 4.1k · Answer 13 · 2018-12-06 12:05:48

4.1k

Views

Uniform continuity on an open interval?

Published on 06 Dec 2018 - 12:05

score 80 · Answer 14 · 2026-03-25 11:54:21

80

Views

If $g:X \to [0,\infty)$ is defined by $g(x)=d(x,f(x))$, prove that $g$ is uniformly continuous on $X$.

Published on 25 Mar 2026 - 11:54

score 1.9k · Answer 15 · 2018-12-09 15:51:33

1.9k

Views

Uniform Continuity in Topological Spaces?

Published on 09 Dec 2018 - 15:51

List Question

Is there a bounded rational function that is not uniformly continuous on $\mathbb{R}$?

Is $ f \colon \mathbb{R^2} \to \mathbb{R^2} , f(x,y) = ( x^2, y^2) $ uniformly continuous on $\mathbb{R^2}$

Problem: Is function unifomly continuous?

Is $ f \colon (1, +\infty) \to \mathbb{R} , f(x) = \sin \frac{1}{x} $ uniformly continuous?

An element of a set with a finite cover must be an element of at most two open intervals in a subcover?

If $\,f$ and $g$ are continuous with compact support then $f*g$ (convolution ) is also continuous with compact support

Is the function uniformly continuous? .

Approximating a continuous function by a sawtooth function

If $f(x)$ is a continously differentiable function such that $f'(x)$ is unbounded, then $f(x)$ is not unifromly continuous?

How to show that if $f^2(x)$ is uniformly continous function then f is uniformly continous

Real Analysis - Continuity

Bounded Harmonic Functions on the Disk

Uniform continuity on an open interval?

If $g:X \to [0,\infty)$ is defined by $g(x)=d(x,f(x))$, prove that $g$ is uniformly continuous on $X$.

Uniform Continuity in Topological Spaces?

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