Question

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

score 67 · Answer 1 · 2026-02-23 12:21:27

67

Views

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

Published on 23 Feb 2026 - 12:21

score 276 · Answer 2 · 2026-02-23 12:21:48

276

Views

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

Published on 23 Feb 2026 - 12:21

score 3.8k · Answer 3 · 2026-02-23 12:18:41

3.8k

Views

What functions are support functions of convex sets

Published on 23 Feb 2026 - 12:18

score 62 · Answer 4 · 2026-02-23 12:20:46

62

Views

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

Published on 23 Feb 2026 - 12:20

score 237 · Answer 5 · 2026-02-23 12:16:28

237

Views

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

Published on 23 Feb 2026 - 12:16

score 17 · Answer 6 · 2026-02-23 12:17:35

17

Views

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

Published on 23 Feb 2026 - 12:17

score 484 · Answer 7 · 2026-02-23 12:19:18

484

Views

Retrival of convex hull by means of support function

Published on 23 Feb 2026 - 12:19

score 374 · Answer 8 · 2026-02-23 12:17:40

374

Views

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

Published on 23 Feb 2026 - 12:17

score 37 · Answer 9 · 2026-02-23 12:17:35

37

Views

support in complete manifolds

Published on 23 Feb 2026 - 12:17

score 25 · Answer 10 · 2026-02-23 12:20:46

25

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 23 Feb 2026 - 12:20

score 26 · Answer 11 · 2026-02-23 12:17:51

26

Views

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

Published on 23 Feb 2026 - 12:17

score 44 · Answer 12 · 2026-02-23 12:16:28

44

Views

Supporting hyperplane through vector projection onto convex set

Published on 23 Feb 2026 - 12:16

score 29 · Answer 13 · 2026-02-23 12:20:50

29

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 23 Feb 2026 - 12:20

score 55 · Answer 14 · 2026-02-23 12:19:04

55

Views

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

Published on 23 Feb 2026 - 12:19

score 46 · Answer 15 · 2026-02-23 12:16:28

46

Views

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

Published on 23 Feb 2026 - 12:16

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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