List questions from convex-geometry

Published on 25 Mar 2026 - 19:05

308

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Fenchel conjugate of convex combination of two norms

Published on 10 Jul 2020 - 16:24

883

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Caratheodory's theorem for vectors in a cone

Published on 26 Mar 2026 - 12:34

1.2k

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Proof that feasible region of linear program is exactly one convex region

Published on 19 Jul 2020 - 9:15

2k

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How to find convex hull of functions?

Published on 25 Mar 2026 - 17:38

346

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Normal vector of a separating or supporting hyperplane

Published on 22 Jul 2020 - 12:13

360

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Can a part of the spherical surface be convex?

Published on 23 Jul 2020 - 13:14

57

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Extreme points of prefix sum and prefix sum of subsets.

Published on 25 Mar 2026 - 19:05

54

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Given convex differentiable function $h: R^m \to R$, what is geometric interpretation of $h(x)/\|\nabla h(x)\|$ vis à vis the level-set $h=0$?

Published on 23 Jul 2020 - 21:00

53

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Maximize area spanned by convex hull of a permutation

Published on 25 Mar 2026 - 17:38

158

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If for every $\alpha$ the set $A_{\alpha}= \{x : f(x) < \alpha\}$ is convex, then $f$ is convex. Is it true?

Published on 26 Mar 2026 - 1:23

33

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How does strong convexity behave under Minkowski sums?

Published on 27 Jul 2020 - 23:31

148

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Fixed area polygon maximize the area of its convex hull

Published on 25 Mar 2026 - 20:42

177

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Do convex combinations of projection matrices majorize the probability vector, i.e. $\sum_k p_k P_k\succeq \boldsymbol p$?

Published on 14 Mar 2026 - 13:01

156

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Convex geometric realizability of abstract polyhedron with congruent isosceles obtuse triangular faces

Published on 21 Mar 2026 - 21:15

List Question

How to find the closest line from a convex hull to an arbitrary point

Fenchel conjugate of convex combination of two norms

Caratheodory's theorem for vectors in a cone

Proof that feasible region of linear program is exactly one convex region

How to find convex hull of functions?

Normal vector of a separating or supporting hyperplane

Can a part of the spherical surface be convex?

Extreme points of prefix sum and prefix sum of subsets.

Given convex differentiable function $h: R^m \to R$, what is geometric interpretation of $h(x)/\|\nabla h(x)\|$ vis à vis the level-set $h=0$?

Maximize area spanned by convex hull of a permutation

If for every $\alpha$ the set $A_{\alpha}= \{x : f(x) < \alpha\}$ is convex, then $f$ is convex. Is it true?

How does strong convexity behave under Minkowski sums?

Fixed area polygon maximize the area of its convex hull

Do convex combinations of projection matrices majorize the probability vector, i.e. $\sum_k p_k P_k\succeq \boldsymbol p$?

Convex geometric realizability of abstract polyhedron with congruent isosceles obtuse triangular faces

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