Question

continuous and uniformly continuous

score 310 · Answer 1 · 2016-03-21 08:37:47

310

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continuous and uniformly continuous

Published on 21 Mar 2016 - 8:37

score 760 · Answer 2 · 2016-03-22 20:51:44

760

Views

$\forall \epsilon >0 \exists$ a piecewise linear function $g$% such that for a continous function $f$

Published on 22 Mar 2016 - 20:51

score 140 · Answer 3 · 2016-03-24 18:28:08

140

Views

Problem about uniform continunity on $[0,\infty)$

Published on 24 Mar 2016 - 18:28

score 3.1k · Answer 4 · 2016-03-25 07:55:11

3.1k

Views

How to prove that continuous function do not necessarily preserve cauchy sequences

Published on 25 Mar 2016 - 7:55

score 1.3k · Answer 5 · 2016-03-27 02:37:20

1.3k

Views

Prove that if $f$ and $g$ are uniformly continuous on A and are both bounded on A, then $fg$ is uniformly continuous on A.

Published on 27 Mar 2016 - 2:37

score 1k · Answer 6 · 2016-03-27 05:01:30

1k

Views

If $f_n\to f$ uniformly and $f_n$ are differentiable, is $f$ differentiable?

Published on 27 Mar 2016 - 5:01

score 110 · Answer 7 · 2026-03-27 19:55:11

110

Views

Is it okay if I considered $f$ as uniformly continuous and bounded on specific interval if $f$ is continuous?

Published on 27 Mar 2026 - 19:55

score 218 · Answer 8 · 2016-03-31 00:55:50

218

Views

Uniformly continuous independent of metrics?

Published on 31 Mar 2016 - 0:55

score 339 · Answer 9 · 2016-04-04 01:54:39

339

Views

Bolzano-Weierstrass and Uniform Continuity

Published on 04 Apr 2016 - 1:54

score 134 · Answer 10 · 2016-04-08 02:25:05

134

Views

Least involved proof for continuos functions $\Rightarrow$ uniform continuous functions on $[a,b]$

Published on 08 Apr 2016 - 2:25

score 124 · Answer 11 · 2016-04-11 04:53:20

124

Views

Give an example of the following or explain why it's impossible (Real Analysis):

Published on 11 Apr 2016 - 4:53

score 390 · Answer 12 · 2016-04-11 15:58:56

390

Views

Is the function $f:\mathbb C \to \mathbb C$ defined as $f(z)=\sqrt z$ uniformly continuous ?

Published on 11 Apr 2016 - 15:58

score 294 · Answer 13 · 2016-04-12 13:02:30

294

Views

(Uniform) continuity of push-forward operator

Published on 12 Apr 2016 - 13:02

score 1.1k · Answer 14 · 2016-04-13 05:06:06

1.1k

Views

Prove $x^n$ is Uniformly Continuous on a Bounded Subset of $\mathbb{R}$

Published on 13 Apr 2016 - 5:06

score 159 · Answer 15 · 2016-04-14 00:56:16

159

Views

Uniformly Continuous functions and paths

Published on 14 Apr 2016 - 0:56

List Question

continuous and uniformly continuous

$\forall \epsilon >0 \exists$ a piecewise linear function $g$% such that for a continous function $f$

Problem about uniform continunity on $[0,\infty)$

How to prove that continuous function do not necessarily preserve cauchy sequences

Prove that if $f$ and $g$ are uniformly continuous on A and are both bounded on A, then $fg$ is uniformly continuous on A.

If $f_n\to f$ uniformly and $f_n$ are differentiable, is $f$ differentiable?

Is it okay if I considered $f$ as uniformly continuous and bounded on specific interval if $f$ is continuous?

Uniformly continuous independent of metrics?

Bolzano-Weierstrass and Uniform Continuity

Least involved proof for continuos functions $\Rightarrow$ uniform continuous functions on $[a,b]$

Give an example of the following or explain why it's impossible (Real Analysis):

Is the function $f:\mathbb C \to \mathbb C$ defined as $f(z)=\sqrt z$ uniformly continuous ?

(Uniform) continuity of push-forward operator

Prove $x^n$ is Uniformly Continuous on a Bounded Subset of $\mathbb{R}$

Uniformly Continuous functions and paths

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