Question

Show $\alpha C + \beta C = (\alpha + \beta) C$ for a convex set $C$ and nonnegative $\alpha, \beta$.

score 582 · Answer 1 · 2017-10-12 10:09:01

582

Views

Show $\alpha C + \beta C = (\alpha + \beta) C$ for a convex set $C$ and nonnegative $\alpha, \beta$.

Published on 12 Oct 2017 - 10:09

score 3.6k · Answer 2 · 2017-10-16 01:22:24

3.6k

Views

Find the extreme points of the set $\{(x_1,x_2,x_3): |x_1| + |x_2| + |x_3| \le 1\}$

Published on 16 Oct 2017 - 1:22

score 462 · Answer 3 · 2017-10-16 13:59:17

462

Views

Graph of convex and strictly convex function

Published on 16 Oct 2017 - 13:59

score 188 · Answer 4 · 2026-03-25 12:38:47

188

Views

Hausdorff distance between two convex bodies

Published on 25 Mar 2026 - 12:38

score 277 · Answer 5 · 2017-10-19 15:34:10

277

Views

Is this a convex set of $\mathbb{C}$?

Published on 19 Oct 2017 - 15:34

score 46 · Answer 6 · 2017-10-19 20:20:55

46

Views

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Published on 19 Oct 2017 - 20:20

score 164 · Answer 7 · 2026-03-27 00:06:36

164

Views

When is Median Vector In the interior of the Convex Hull

Published on 27 Mar 2026 - 0:06

score 45 · Answer 8 · 2026-03-27 23:38:24

45

Views

Optimal algorithm of a separating hyperplane

Published on 27 Mar 2026 - 23:38

score 525 · Answer 9 · 2017-10-23 17:58:19

525

Views

Compact convex sets are "small"

Published on 23 Oct 2017 - 17:58

score 43 · Answer 10 · 2026-03-27 01:44:56

43

Views

Choosing point nearest to initial point in lattice to maximize convexity

Published on 27 Mar 2026 - 1:44

score 69 · Answer 11 · 2017-10-25 07:32:17

69

Views

prove the linear combination of variables smaller than zero given the linear combination of their upper bound and lower bound smaller than zero

Published on 25 Oct 2017 - 7:32

score 1.1k · Answer 12 · 2026-03-27 00:02:56

1.1k

Views

Meaning cone, ray, fan for polytopes

Published on 27 Mar 2026 - 0:02

score 218 · Answer 13 · 2026-03-29 03:52:52

218

Views

Time complexity for deciding whether a given line is inside a convex polygon?

Published on 29 Mar 2026 - 3:52

score 124 · Answer 14 · 2017-10-31 11:23:07

124

Views

Prove that the diameter is lower or equal to the half of the perimeter in a closed, convex and planar curve

Published on 31 Oct 2017 - 11:23

score 90 · Answer 15 · 2026-03-28 13:27:23

90

Views

Advices for my thesis, Minkowski Decomposition

Published on 28 Mar 2026 - 13:27

List Question

Show $\alpha C + \beta C = (\alpha + \beta) C$ for a convex set $C$ and nonnegative $\alpha, \beta$.

Find the extreme points of the set $\{(x_1,x_2,x_3): |x_1| + |x_2| + |x_3| \le 1\}$

Graph of convex and strictly convex function

Hausdorff distance between two convex bodies

Is this a convex set of $\mathbb{C}$?

Question about the convexity of a set in $\mathbb{C}$

When is Median Vector In the interior of the Convex Hull

Optimal algorithm of a separating hyperplane

Compact convex sets are "small"

Choosing point nearest to initial point in lattice to maximize convexity

prove the linear combination of variables smaller than zero given the linear combination of their upper bound and lower bound smaller than zero

Meaning cone, ray, fan for polytopes

Time complexity for deciding whether a given line is inside a convex polygon?

Prove that the diameter is lower or equal to the half of the perimeter in a closed, convex and planar curve

Advices for my thesis, Minkowski Decomposition

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