Question

At what points is the function $f:[0,2] \to \mathbb{R}$ continuous

score 62 · Answer 1 · 2026-04-14 13:36:54

62

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At what points is the function $f:[0,2] \to \mathbb{R}$ continuous

Published on 14 Apr 2026 - 13:36

score 56 · Answer 2 · 2026-04-15 19:18:04

56

Views

Representing radians in a continuous manner

Published on 15 Apr 2026 - 19:18

score 23 · Answer 3 · 2026-05-10 12:36:58

23

Views

Continuously interpolate over transformed discrete signal

Published on 10 May 2026 - 12:36

score 228 · Answer 4 · 2026-04-14 13:48:28

228

Views

Is there any continuous function in the Sobolev space $\mathcal{H}^k(\mathbb{R}^d)$ but not in $\mathcal{H}^{d/2}(\mathbb{R}^d)$

Published on 14 Apr 2026 - 13:48

score 4.1k · Answer 5 · 2026-04-11 11:01:29

4.1k

Views

Limit of a continuous function is a function of a limit?

Published on 11 Apr 2026 - 11:01

score 65 · Answer 6 · 2026-04-11 06:37:53

65

Views

Fixed point continous function

Published on 11 Apr 2026 - 6:37

score 97 · Answer 7 · 2026-05-10 18:45:50

97

Views

Example of a continuous function $f:(0,1) \rightarrow \mathbb{R}$ such that $\int_{1/n}^1 f \, dx = 0$ for all $n$ but $\int_0^1 f \, dx$ DNE?

Published on 10 May 2026 - 18:45

score 560 · Answer 8 · 2026-04-13 07:33:06

560

Views

Show that a function is continuous in one variable.

Published on 13 Apr 2026 - 7:33

score 187 · Answer 9 · 2026-04-29 06:45:16

187

Views

example of a sequence of uniformly continuous functions on a compact domain converging, not uniformly, to a uniformly continuous function

Published on 29 Apr 2026 - 6:45

score 1.1k · Answer 10 · 2026-04-14 08:40:09

1.1k

Views

$\overline{f^{-1}(B)}\subset f^{-1}(\overline B)\implies f$ continuous?

Published on 14 Apr 2026 - 8:40

score 792 · Answer 11 · 2026-04-11 16:19:42

792

Views

Can an right-continuous increasing function have uncountable many jump points?

Published on 11 Apr 2026 - 16:19

score 665 · Answer 12 · 2026-05-14 10:10:37

665

Views

Perfect map: If $Y$ is compact, then $X$ is compact?

Published on 14 May 2026 - 10:10

score 1.8k · Answer 13 · 2026-05-10 19:52:12

1.8k

Views

If $f$ is continuous and $X$ is locally compact, then $f(X)$ is locally compact.

Published on 10 May 2026 - 19:52

score 218 · Answer 14 · 2026-05-10 15:22:59

218

Views

Intuition behind proving that $f$ is constant

Published on 10 May 2026 - 15:22

score 70 · Answer 15 · 2026-04-12 02:10:56

70

Views

Limit with double derivative and modulus

Published on 12 Apr 2026 - 2:10

List Question

At what points is the function $f:[0,2] \to \mathbb{R}$ continuous

Representing radians in a continuous manner

Continuously interpolate over transformed discrete signal

Is there any continuous function in the Sobolev space $\mathcal{H}^k(\mathbb{R}^d)$ but not in $\mathcal{H}^{d/2}(\mathbb{R}^d)$

Limit of a continuous function is a function of a limit?

Fixed point continous function

Example of a continuous function $f:(0,1) \rightarrow \mathbb{R}$ such that $\int_{1/n}^1 f \, dx = 0$ for all $n$ but $\int_0^1 f \, dx$ DNE?

Show that a function is continuous in one variable.

example of a sequence of uniformly continuous functions on a compact domain converging, not uniformly, to a uniformly continuous function

$\overline{f^{-1}(B)}\subset f^{-1}(\overline B)\implies f$ continuous?

Can an right-continuous increasing function have uncountable many jump points?

Perfect map: If $Y$ is compact, then $X$ is compact?

If $f$ is continuous and $X$ is locally compact, then $f(X)$ is locally compact.

Intuition behind proving that $f$ is constant

Limit with double derivative and modulus

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