Question

Support of function

score 50 · Answer 1 · 2024-01-18 22:36:03

50

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Support of function

Published on 18 Jan 2024 - 22:36

score 16 · Answer 2 · 2024-03-21 15:59:30

16

Views

The support of the Schwarz rearrangement of a compactly supported function

Published on 21 Mar 2024 - 15:59

score 1.8k · Answer 3 · 2015-01-20 16:47:26

1.8k

Views

Prove that the support function of an arbitrary set $A\subset\mathbb R^n$ is convex

Published on 20 Jan 2015 - 16:47

score 317 · Answer 4 · 2015-07-04 01:11:28

317

Views

How to retrieve the domain $S=\{(x,y): 0\le y\le x-1\}$ from its support function?

Published on 04 Jul 2015 - 1:11

score 505 · Answer 5 · 2015-11-04 20:26:55

505

Views

Compute the support function, $\sigma_{C}$, when $C$ is a subspace.

Published on 04 Nov 2015 - 20:26

score 204 · Answer 6 · 2015-12-15 18:59:36

204

Views

Prove that the support function satisfies $\sigma_{A+B}=\sigma_A+\sigma_B$ for $A,B$ compact convex sets

Published on 15 Dec 2015 - 18:59

score 2.3k · Answer 7 · 2016-06-05 09:22:41

2.3k

Views

What is the support function of an ellipse?

Published on 05 Jun 2016 - 9:22

score 1.4k · Answer 8 · 2013-07-22 16:35:40

1.4k

Views

Can we infer from the support function of a convex domain $Q$ when the boundary $\partial Q$ admits nonvanishing curvature?

Published on 22 Jul 2013 - 16:35

score 1k · Answer 9 · 2014-02-25 06:15:38

1k

Views

Prove that the support function of a closed non-empty set is convex

Published on 25 Feb 2014 - 6:15

score 685 · Answer 10 · 2017-12-31 02:11:13

685

Views

How to find the explicit support function of convex set?

Published on 31 Dec 2017 - 2:11

score 11.9k · Answer 11 · 2012-11-12 20:47:04

11.9k

Views

What is the support function $h_K(x)\equiv \sup_{z \in K} \langle z, x \rangle$ of a set $K$?

Published on 12 Nov 2012 - 20:47

score 275 · Answer 12 · 2013-03-27 17:20:17

275

Views

What is the set of $x$ achieving the maximum in the definition of the support function $h_B(u)=\sup_{x\in B}\langle u,x\rangle$?

Published on 27 Mar 2013 - 17:20

score 41 · Answer 13 · 2020-09-10 18:33:22

41

Views

Are affine functions compactly-supported only when they are zero

Published on 10 Sep 2020 - 18:33

score 31 · Answer 14 · 2020-10-07 06:24:54

31

Views

Embedding of $S^n$ to the smooth strictly convex region in $R^{n+1}$

Published on 07 Oct 2020 - 6:24

score 94 · Answer 15 · 2020-11-11 15:06:14

94

Views

Support of a convolution: where is compactness used

Published on 11 Nov 2020 - 15:06

List Question

Support of function

The support of the Schwarz rearrangement of a compactly supported function

Prove that the support function of an arbitrary set $A\subset\mathbb R^n$ is convex

How to retrieve the domain $S=\{(x,y): 0\le y\le x-1\}$ from its support function?

Compute the support function, $\sigma_{C}$, when $C$ is a subspace.

Prove that the support function satisfies $\sigma_{A+B}=\sigma_A+\sigma_B$ for $A,B$ compact convex sets

What is the support function of an ellipse?

Can we infer from the support function of a convex domain $Q$ when the boundary $\partial Q$ admits nonvanishing curvature?

Prove that the support function of a closed non-empty set is convex

How to find the explicit support function of convex set?

What is the support function $h_K(x)\equiv \sup_{z \in K} \langle z, x \rangle$ of a set $K$?

What is the set of $x$ achieving the maximum in the definition of the support function $h_B(u)=\sup_{x\in B}\langle u,x\rangle$?

Are affine functions compactly-supported only when they are zero

Embedding of $S^n$ to the smooth strictly convex region in $R^{n+1}$

Support of a convolution: where is compactness used

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