Question

The intersection of open balls that center in $S$ and whose boundaries pass through $x$ is empty iff $x$ is in the closed convex hull of $S$

score 81 · Answer 1 · 2023-03-29 19:30:01

81

Views

The intersection of open balls that center in $S$ and whose boundaries pass through $x$ is empty iff $x$ is in the closed convex hull of $S$

Published on 29 Mar 2023 - 19:30

score 59 · Answer 2 · 2023-03-30 20:52:47

59

Views

Proof that line is edge of convex hull

Published on 30 Mar 2023 - 20:52

score 86 · Answer 3 · 2023-04-01 16:35:25

86

Views

For an interior point of a convex hull, does there exist a polytope with vertexes in the set and with that point as an interior point?

Published on 01 Apr 2023 - 16:35

score 33 · Answer 4 · 2023-04-20 04:24:45

33

Views

Is there an established standard term for the concept described in the details?

Published on 20 Apr 2023 - 4:24

score 29 · Answer 5 · 2023-04-21 14:02:41

29

Views

Reference request: a definition of the ``directional convex hull''

Published on 21 Apr 2023 - 14:02

score 59 · Answer 6 · 2023-04-25 18:03:18

59

Views

How to rewrite sum as convex combination

Published on 25 Apr 2023 - 18:03

score 35 · Answer 7 · 2023-04-26 21:46:23

35

Views

Computing the best approximation of a convex set

Published on 26 Apr 2023 - 21:46

score 135 · Answer 8 · 2023-04-27 09:30:45

135

Views

In a Banach space, the closed convex hull of weakly compact set is weakly compact

Published on 27 Apr 2023 - 9:30

score 54 · Answer 9 · 2023-04-30 08:35:17

54

Views

(Strengthened) Caratheodory's Theorem

Published on 30 Apr 2023 - 8:35

score 22 · Answer 10 · 2026-03-25 23:07:57

22

Views

Separation of points by polytopes

Published on 25 Mar 2026 - 23:07

score 54 · Answer 11 · 2023-05-04 10:51:43

54

Views

Shortest vector in a convex hull

Published on 04 May 2023 - 10:51

score 52 · Answer 12 · 2023-05-09 13:36:56

52

Views

Almost Euclidean balls and support functions from High-Dimensional Probability (Roman Vershynin)

Published on 09 May 2023 - 13:36

score 24 · Answer 13 · 2023-05-12 18:33:35

24

Views

Calculating the Linear Transformation of a Norm-Bounded Convex Set

Published on 12 May 2023 - 18:33

score 89 · Answer 14 · 2023-05-14 19:52:26

89

Views

Maximize the area of a convex shape in a right isosceles triangle under some restrictions

Published on 14 May 2023 - 19:52

score 87 · Answer 15 · 2023-05-25 12:19:27

87

Views

Why is the convex combination of $3$ points in $\Bbb R^2$ a triangle and not a V-like shape?

Published on 25 May 2023 - 12:19

List Question

The intersection of open balls that center in $S$ and whose boundaries pass through $x$ is empty iff $x$ is in the closed convex hull of $S$

Proof that line is edge of convex hull

For an interior point of a convex hull, does there exist a polytope with vertexes in the set and with that point as an interior point?

Is there an established standard term for the concept described in the details?

Reference request: a definition of the ``directional convex hull''

How to rewrite sum as convex combination

Computing the best approximation of a convex set

In a Banach space, the closed convex hull of weakly compact set is weakly compact

(Strengthened) Caratheodory's Theorem

Separation of points by polytopes

Shortest vector in a convex hull

Almost Euclidean balls and support functions from High-Dimensional Probability (Roman Vershynin)

Calculating the Linear Transformation of a Norm-Bounded Convex Set

Maximize the area of a convex shape in a right isosceles triangle under some restrictions

Why is the convex combination of $3$ points in $\Bbb R^2$ a triangle and not a V-like shape?

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