Question

If $f(x)$ is uniformly continuous for $x \ge 0$, then it is bounded above by a straight line.

score 741 · Answer 1 · 2014-01-08 13:27:29

741

Views

If $f(x)$ is uniformly continuous for $x \ge 0$, then it is bounded above by a straight line.

Published on 08 Jan 2014 - 13:27

score 1k · Answer 2 · 2014-01-09 18:08:44

1k

Views

Proving that if $|f''(x)| \le A$ then $|f'(x)| \le A/2$

Published on 09 Jan 2014 - 18:08

score 118 · Answer 3 · 2014-01-14 16:07:38

118

Views

The distance function on a metric space

Published on 15 Jan 2014 - 2:24

score 21.8k · Answer 5 · 2014-01-20 11:31:40

21.8k

Views

A uniformly continuous function maps bounded set to bounded sets

Published on 20 Jan 2014 - 11:31

score 4.2k · Answer 6 · 2014-01-20 12:38:16

4.2k

Views

A proof about uniformly continuous function on an open interval and its extension

Published on 20 Jan 2014 - 12:38

score 3.1k · Answer 7 · 2014-01-20 19:24:45

3.1k

Views

Prove $1/x$ is not uniformly continuous

Published on 20 Jan 2014 - 19:24

score 295 · Answer 8 · 2014-01-22 08:37:49

295

Views

Let $f:(0,1)→R$ be continuous. Pick out the statements which imply that $f$ is uniformly continuous.

Published on 22 Jan 2014 - 8:37

score 880 · Answer 9 · 2014-01-23 08:52:32

880

Views

Does there exist any continuous but not uniformly continuous function $f(x)$ such that $\sin(f(x))$ is uniformly continuous?

Published on 23 Jan 2014 - 8:52

score 1.7k · Answer 10 · 2014-01-23 19:49:19

1.7k

Views

Prove that the function is uniformly continuous

Published on 23 Jan 2014 - 19:49

score 137 · Answer 11 · 2014-01-26 03:48:22

137

Views

Is $\sqrt{x}(\sin{1\over x}+x)$ uniformly continuous on $(0,\infty)$?

Published on 26 Jan 2014 - 3:48

score 216 · Answer 12 · 2014-01-26 05:39:27

216

Views

uniform continuity and which of the following statements are true??(NBHM-$2014$)

Published on 26 Jan 2014 - 5:39

score 92 · Answer 13 · 2014-01-29 07:43:15

92

Views

Question on the extending uniform continuity.

Published on 29 Jan 2014 - 7:43

score 1.1k · Answer 14 · 2014-01-31 12:36:40

1.1k

Views

Is $\cos\sqrt{xy}$ uniformly continuous?

Published on 31 Jan 2014 - 12:36

score 308 · Answer 15 · 2026-02-23 18:56:23

308

Views

Bourbaki on the fact that continuous function on a compact is uniformly continuous

Published on 23 Feb 2026 - 18:56

List Question

If $f(x)$ is uniformly continuous for $x \ge 0$, then it is bounded above by a straight line.

Proving that if $|f''(x)| \le A$ then $|f'(x)| \le A/2$

Suggested Equicontinuity Problem

The distance function on a metric space

A uniformly continuous function maps bounded set to bounded sets

A proof about uniformly continuous function on an open interval and its extension

Prove $1/x$ is not uniformly continuous

Let $f:(0,1)→R$ be continuous. Pick out the statements which imply that $f$ is uniformly continuous.

Does there exist any continuous but not uniformly continuous function $f(x)$ such that $\sin(f(x))$ is uniformly continuous?

Prove that the function is uniformly continuous

Is $\sqrt{x}(\sin{1\over x}+x)$ uniformly continuous on $(0,\infty)$?

uniform continuity and which of the following statements are true??(NBHM-$2014$)

Question on the extending uniform continuity.

Is $\cos\sqrt{xy}$ uniformly continuous?

Bourbaki on the fact that continuous function on a compact is uniformly continuous

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