Question

How to construct a function whose set of discontinuities is not closed?

score 1.1k · Answer 1 · 2018-06-17 22:10:25

1.1k

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How to construct a function whose set of discontinuities is not closed?

Published on 17 Jun 2018 - 22:10

score 41 · Answer 2 · 2018-06-18 05:29:28

41

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help with differentiable and continuous functions not just a point

Published on 18 Jun 2018 - 5:29

score 55 · Answer 3 · 2018-06-18 12:20:43

55

Views

If derivatives of a function exist, is the function continuous?

Published on 18 Jun 2018 - 12:20

score 1.8k · Answer 4 · 2026-03-25 06:41:01

1.8k

Views

Product of a Lipschitz function with a bounded Lipschitz function is Lipschitz?

Published on 25 Mar 2026 - 6:41

score 3.2k · Answer 5 · 2026-04-01 12:52:34

3.2k

Views

Why is the topological definition of continuous the way it is?

Published on 01 Apr 2026 - 12:52

score 1.1k · Answer 6 · 2026-03-26 17:44:36

1.1k

Views

Is the function argmin continuous?

Published on 26 Mar 2026 - 17:44

score 58 · Answer 7 · 2018-06-18 15:25:47

58

Views

A function that satisfies :$f(x)= \frac12(f(x-\delta)+f(x+\delta))$

Published on 18 Jun 2018 - 15:25

score 745 · Answer 8 · 2018-06-19 04:53:09

745

Views

$D^n \times D^m \cong D^{n+m}$

Published on 19 Jun 2018 - 4:53

score 2.1k · Answer 9 · 2018-06-19 07:27:33

2.1k

Views

Does continuity imply integrability?

Published on 19 Jun 2018 - 7:27

score 292 · Answer 10 · 2018-06-19 07:52:17

292

Views

Continuity of fixed-points?

Published on 19 Jun 2018 - 7:52

score 271 · Answer 11 · 2026-03-25 23:11:08

271

Views

Prove that $(T f)(x) = x^{-1/p}\int_0^x f(t)dt$ is continuous.

Published on 25 Mar 2026 - 23:11

score 335 · Answer 12 · 2018-06-19 11:38:05

335

Views

If $f : (a,b) \to \mathbb{R}$ is differentiable, then $f$ is continuous: prove using $\epsilon$-$\delta$

Published on 19 Jun 2018 - 11:38

score 309 · Answer 13 · 2026-03-25 14:31:42

309

Views

proof that $\ln(x)$ is continuous at $x=1$ using $\epsilon-\delta$

Published on 25 Mar 2026 - 14:31

score 14k · Answer 14 · 2026-03-26 16:05:53

14k

Views

Why not include as a requirement that all functions must be continuous to be differentiable?

Published on 26 Mar 2026 - 16:05

score 192 · Answer 15 · 2026-03-30 12:04:12

192

Views

I have a function defined on integer-radian inputs from the unit circle in the complex plane. Is it discontinuous?

Published on 30 Mar 2026 - 12:04

List Question

How to construct a function whose set of discontinuities is not closed?

help with differentiable and continuous functions not just a point

If derivatives of a function exist, is the function continuous?

Product of a Lipschitz function with a bounded Lipschitz function is Lipschitz?

Why is the topological definition of continuous the way it is?

Is the function argmin continuous?

A function that satisfies :$f(x)= \frac12(f(x-\delta)+f(x+\delta))$

$D^n \times D^m \cong D^{n+m}$

Does continuity imply integrability?

Continuity of fixed-points?

Prove that $(T f)(x) = x^{-1/p}\int_0^x f(t)dt$ is continuous.

If $f : (a,b) \to \mathbb{R}$ is differentiable, then $f$ is continuous: prove using $\epsilon$-$\delta$

proof that $\ln(x)$ is continuous at $x=1$ using $\epsilon-\delta$

Why not include as a requirement that all functions must be continuous to be differentiable?

I have a function defined on integer-radian inputs from the unit circle in the complex plane. Is it discontinuous?

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