Question

Existence of smallest $\delta>0$ for a continuous function

score 40 · Answer 1 · 2018-03-07 22:06:05

40

Views

Existence of smallest $\delta>0$ for a continuous function

Published on 07 Mar 2018 - 22:06

score 548 · Answer 2 · 2018-03-10 15:40:34

548

Views

What are some examples of pairs of uniformly continuous functions, one bounded and one not bounded, whose product is not uniformly continuous?

Published on 10 Mar 2018 - 15:40

score 41 · Answer 3 · 2018-03-11 06:12:01

41

Views

To prove continuity and uniform continuity of the following function.

Published on 11 Mar 2018 - 6:12

score 253 · Answer 4 · 2018-03-12 10:35:22

253

Views

$f$ be real uniformly continuous function on the bounded set $E$ of $\Bbb R$ then $f$ is bounded on $E$

Published on 12 Mar 2018 - 10:35

score 64 · Answer 5 · 2018-03-12 12:40:11

64

Views

Uniform Continuity of the given function

Published on 12 Mar 2018 - 12:40

score 44 · Answer 6 · 2018-03-12 17:13:38

44

Views

To introduce a metric on $\mathbb{R}$, such that $f(x) = x^2$ is uniformly continuous

Published on 13 Mar 2018 - 20:05

score 317 · Answer 8 · 2026-03-24 22:51:02

317

Views

What is an example of a function that is uniformly continuous but not Lipschitz continuous, but not from R to R

Published on 24 Mar 2026 - 22:51

score 608 · Answer 9 · 2026-03-24 23:43:07

608

Views

$f$ be a continuous function maps Cauchy into Cauchy. Is $f$ uniformly continuous?

Published on 24 Mar 2026 - 23:43

score 211 · Answer 10 · 2018-03-14 11:43:35

211

Views

Why does this diameter tend to zero?

Published on 14 Mar 2018 - 11:43

score 732 · Answer 11 · 2018-03-15 14:11:07

732

Views

Show that $x^p$ is not uniformly continuous.

Published on 15 Mar 2018 - 14:11

score 68 · Answer 12 · 2018-03-16 10:54:17

68

Views

Uniform continuity on bounded set is bounded for every metric space?

Published on 16 Mar 2018 - 10:54

score 543 · Answer 13 · 2018-03-17 16:03:40

543

Views

Counter example which violate uniform continuity...

Published on 17 Mar 2018 - 16:03

score 436 · Answer 14 · 2018-03-18 04:17:03

436

Views

Exercise 4.13 from Rudin, what's wrong with this proof.

Published on 18 Mar 2018 - 4:17

score 302 · Answer 15 · 2018-03-18 15:20:43

302

Views

How to determine if a continuous function is uniformly continuous

Published on 18 Mar 2018 - 15:20

List Question

Existence of smallest $\delta>0$ for a continuous function

What are some examples of pairs of uniformly continuous functions, one bounded and one not bounded, whose product is not uniformly continuous?

To prove continuity and uniform continuity of the following function.

$f$ be real uniformly continuous function on the bounded set $E$ of $\Bbb R$ then $f$ is bounded on $E$

Uniform Continuity of the given function

Other solution to 'compact and continuous imply uniformly continuous'

To introduce a metric on $\mathbb{R}$, such that $f(x) = x^2$ is uniformly continuous

What is an example of a function that is uniformly continuous but not Lipschitz continuous, but not from R to R

$f$ be a continuous function maps Cauchy into Cauchy. Is $f$ uniformly continuous?

Why does this diameter tend to zero?

Show that $x^p$ is not uniformly continuous.

Uniform continuity on bounded set is bounded for every metric space?

Counter example which violate uniform continuity...

Exercise 4.13 from Rudin, what's wrong with this proof.

How to determine if a continuous function is uniformly continuous

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