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Continuous Extension of Densely Defined Continuous (but not Uniformly Continuous) Function.

score 1.2k · Answer 1 · 2026-04-01 04:41:57

1.2k

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Continuous Extension of Densely Defined Continuous (but not Uniformly Continuous) Function.

Published on 01 Apr 2026 - 4:41

score 203 · Answer 2 · 2018-05-27 17:39:31

203

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A non-zero continuous function such that summing over equally spaced values always gives zero

Published on 27 May 2018 - 17:39

score 331 · Answer 3 · 2026-03-22 20:46:03

331

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How to show lower semicontinuity: differentiability $\rightarrow$ continuity $\rightarrow$ lower semicontinuity?

Published on 22 Mar 2026 - 20:46

score 691 · Answer 4 · 2026-03-24 23:42:04

691

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Pasting together two continuous functions

Published on 24 Mar 2026 - 23:42

score 35 · Answer 5 · 2018-05-28 08:43:20

35

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Continuity of probability algebra help

Published on 28 May 2018 - 8:43

score 45 · Answer 6 · 2018-05-28 10:10:13

45

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Showing complex continuity by using the definiton.

Published on 28 May 2018 - 10:10

score 390 · Answer 7 · 2026-03-28 08:38:49

390

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Every continuous function $f$ on the unit sphere (shell) has a point $p$ such that $f(p)=f(-p)$

Published on 28 Mar 2026 - 8:38

score 1.7k · Answer 8 · 2026-03-26 15:16:39

1.7k

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When is the Laplace transform of a function continuous?

Published on 26 Mar 2026 - 15:16

score 65 · Answer 9 · 2018-05-29 16:44:37

65

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Hints for differentiability of series

Published on 29 May 2018 - 16:44

score 1.4k · Answer 10 · 2018-05-29 19:59:14

1.4k

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A function $f(x)$ not continuous at 0 such that $\left[f(x)\right]^3$ is continuous at 0.

Published on 29 May 2018 - 19:59

score 57 · Answer 11 · 2018-05-30 06:30:03

57

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Suppose that $S = \{1,2,3,\cdots\}$ is the set of all positive integers and that $P(\{s\}) = 2^{-s}$ for all $s \in S$.

Published on 30 May 2018 - 6:30

score 26 · Answer 12 · 2018-05-30 10:45:36

26

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How prove the differential equation about limit

Published on 30 May 2018 - 10:45

score 47 · Answer 13 · 2018-05-30 16:12:43

47

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Continuity of partial derivatives of $f(x,y)^t:= \frac{x^2y}{x^6+2y^2} $ when $(x,y)^t\neq (0,0)^t $ and $0$ otherwise

Published on 30 May 2018 - 16:12

score 271 · Answer 14 · 2026-03-28 13:22:57

271

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Continuous function in compact sets - Real analysis

Published on 28 Mar 2026 - 13:22

score 41 · Answer 15 · 2026-03-28 15:21:22

41

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$f(x):=\ln\sqrt {(x_1-\zeta_1)^2+(x_2-\zeta_2)^2}$. $f \in C^2(\mathbb{R}^2\setminus \{0\})$?

Published on 28 Mar 2026 - 15:21

List Question

Continuous Extension of Densely Defined Continuous (but not Uniformly Continuous) Function.

A non-zero continuous function such that summing over equally spaced values always gives zero

How to show lower semicontinuity: differentiability $\rightarrow$ continuity $\rightarrow$ lower semicontinuity?

Pasting together two continuous functions

Continuity of probability algebra help

Showing complex continuity by using the definiton.

Every continuous function $f$ on the unit sphere (shell) has a point $p$ such that $f(p)=f(-p)$

When is the Laplace transform of a function continuous?

Hints for differentiability of series

A function $f(x)$ not continuous at 0 such that $\left[f(x)\right]^3$ is continuous at 0.

Suppose that $S = \{1,2,3,\cdots\}$ is the set of all positive integers and that $P(\{s\}) = 2^{-s}$ for all $s \in S$.

How prove the differential equation about limit

Continuity of partial derivatives of $f(x,y)^t:= \frac{x^2y}{x^6+2y^2} $ when $(x,y)^t\neq (0,0)^t $ and $0$ otherwise

Continuous function in compact sets - Real analysis

$f(x):=\ln\sqrt {(x_1-\zeta_1)^2+(x_2-\zeta_2)^2}$. $f \in C^2(\mathbb{R}^2\setminus \{0\})$?

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