Question

Support of function

score 62 · Answer 1 · 2026-04-06 00:46:37

62

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Support of function

Published on 06 Apr 2026 - 0:46

score 18 · Answer 2 · 2026-03-22 01:24:03

18

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The support of the Schwarz rearrangement of a compactly supported function

Published on 22 Mar 2026 - 1:24

score 1.8k · Answer 3 · 2026-02-23 13:43:11

1.8k

Views

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

Published on 23 Feb 2026 - 13:43

score 318 · Answer 4 · 2026-02-23 13:44:32

318

Views

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

Published on 23 Feb 2026 - 13:44

score 506 · Answer 5 · 2026-02-23 13:47:29

506

Views

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

Published on 23 Feb 2026 - 13:47

score 205 · Answer 6 · 2026-02-23 13:43:12

205

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

Published on 23 Feb 2026 - 13:43

score 2.3k · Answer 7 · 2026-04-01 12:13:58

2.3k

Views

What is the support function of an ellipse?

Published on 01 Apr 2026 - 12:13

score 1.4k · Answer 8 · 2026-02-23 13:46:14

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 23 Feb 2026 - 13:46

score 1k · Answer 9 · 2026-02-23 13:43:00

1k

Views

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

Published on 23 Feb 2026 - 13:43

score 686 · Answer 10 · 2026-02-23 13:42:12

686

Views

How to find the explicit support function of convex set?

Published on 23 Feb 2026 - 13:42

score 11.9k · Answer 11 · 2026-02-23 13:46:15

11.9k

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

Published on 23 Feb 2026 - 13:46

score 276 · Answer 12 · 2026-02-23 13:46:23

276

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 23 Feb 2026 - 13:46

score 42 · Answer 13 · 2026-02-23 13:40:58

42

Views

Are affine functions compactly-supported only when they are zero

Published on 23 Feb 2026 - 13:40

score 32 · Answer 14 · 2026-02-23 13:46:14

32

Views

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

Published on 23 Feb 2026 - 13:46

score 95 · Answer 15 · 2026-02-23 13:41:33

95

Views

Support of a convolution: where is compactness used

Published on 23 Feb 2026 - 13:41

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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