Question

Show that is $K,L$ are convex bodies then $h_{\text{conv}(K\cup L)}=\max\{h_K,h_L\}$

score 66 · Answer 1 · 2019-06-08 12:50:35

66

Views

Show that is $K,L$ are convex bodies then $h_{\text{conv}(K\cup L)}=\max\{h_K,h_L\}$

Published on 08 Jun 2019 - 12:50

score 275 · Answer 2 · 2019-08-08 14:55:47

275

Views

Is the domain of the support function of a subset of a simplex the unit sphere?

Published on 08 Aug 2019 - 14:55

score 3.8k · Answer 3 · 2014-05-08 17:20:25

3.8k

Views

What functions are support functions of convex sets

Published on 08 May 2014 - 17:20

score 61 · Answer 4 · 2020-04-15 17:38:04

61

Views

Find the support function of $\{x\in\mathbb{R}^{n}|x^{T}Qx+2b^{T}x+c\leq0\}$

Published on 15 Apr 2020 - 17:38

score 236 · Answer 5 · 2020-06-02 14:41:21

236

Views

Why does the support function equal the distance between $0$ and the supporting hyperplane?

Published on 02 Jun 2020 - 14:41

score 16 · Answer 6 · 2020-06-03 12:50:32

16

Views

Why $C\mapsto s(x^*,C)$ is affine function?

Published on 03 Jun 2020 - 12:50

score 483 · Answer 7 · 2016-12-16 18:33:12

483

Views

Retrival of convex hull by means of support function

Published on 16 Dec 2016 - 18:33

score 373 · Answer 8 · 2023-03-11 08:28:13

373

Views

Is it always possible to construct a distribution with full support?

Published on 11 Mar 2023 - 8:28

score 36 · Answer 9 · 2023-04-13 17:19:54

36

Views

support in complete manifolds

Published on 13 Apr 2023 - 17:19

score 24 · Answer 10 · 2023-05-15 19:44:38

24

Views

Given the support function of a convex set $C\subseteq \mathbb{R}^{2n}$, compute $\sup \left \{c'y: (x,y) \in C\right\}$ as a function of $x$

Published on 15 May 2023 - 19:44

score 25 · Answer 11 · 2023-05-18 07:59:56

25

Views

Can we conclude that $g \in C_c (V)\ $?

Published on 18 May 2023 - 7:59

score 43 · Answer 12 · 2023-06-27 15:12:40

43

Views

Supporting hyperplane through vector projection onto convex set

Published on 27 Jun 2023 - 15:12

score 28 · Answer 13 · 2023-07-02 01:28:27

28

Views

For $f\in\mathcal S'$, if $\varphi\in\mathcal D$ vanishes on a neighborhood of supp$f$, then supp$f\cap$supp$\varphi=\emptyset ?$

Published on 02 Jul 2023 - 1:28

score 54 · Answer 14 · 2023-09-16 13:59:02

54

Views

What is the connection between the gradient acting on the support function in Euclidean space and on a sphere?

Published on 16 Sep 2023 - 13:59

score 45 · Answer 15 · 2023-10-15 16:53:30

45

Views

Using Urysohn’s Theorem to prove there exist a continuous function with a given bounded $E$.

Published on 15 Oct 2023 - 16:53

List Question

Show that is $K,L$ are convex bodies then $h_{\text{conv}(K\cup L)}=\max\{h_K,h_L\}$

Is the domain of the support function of a subset of a simplex the unit sphere?

What functions are support functions of convex sets

Find the support function of $\{x\in\mathbb{R}^{n}|x^{T}Qx+2b^{T}x+c\leq0\}$

Why does the support function equal the distance between $0$ and the supporting hyperplane?

Why $C\mapsto s(x^*,C)$ is affine function?

Retrival of convex hull by means of support function

Is it always possible to construct a distribution with full support?

support in complete manifolds

Given the support function of a convex set $C\subseteq \mathbb{R}^{2n}$, compute $\sup \left \{c'y: (x,y) \in C\right\}$ as a function of $x$

Can we conclude that $g \in C_c (V)\ $?

Supporting hyperplane through vector projection onto convex set

For $f\in\mathcal S'$, if $\varphi\in\mathcal D$ vanishes on a neighborhood of supp$f$, then supp$f\cap$supp$\varphi=\emptyset ?$

What is the connection between the gradient acting on the support function in Euclidean space and on a sphere?

Using Urysohn’s Theorem to prove there exist a continuous function with a given bounded $E$.

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