Question

Is $\mathbb{R}^2$ a convex set without extreme points?

score 673 · Answer 1 · 2026-03-29 04:48:42

673

Views

Is $\mathbb{R}^2$ a convex set without extreme points?

Published on 29 Mar 2026 - 4:48

score 183 · Answer 2 · 2019-05-05 19:55:19

183

Views

Proving that a given set is convex using the definition

Published on 05 May 2019 - 19:55

score 729 · Answer 3 · 2026-04-03 21:11:53

729

Views

Convexity of the logarithmic barrier function of SOCP

Published on 03 Apr 2026 - 21:11

score 144 · Answer 4 · 2026-03-31 10:17:23

144

Views

Show that $g(r) = (a - be^{-rt})^{+}$ is neither convex nor concave in $r$ when $b > 0$.

Published on 31 Mar 2026 - 10:17

score 255 · Answer 5 · 2026-03-25 09:37:03

255

Views

Convexity of $|A^TA|$

Published on 25 Mar 2026 - 9:37

score 114 · Answer 6 · 2026-03-25 06:21:22

114

Views

Convexity of a function of generalized inverse CDF.

Published on 25 Mar 2026 - 6:21

score 105 · Answer 7 · 2019-05-07 10:10:49

105

Views

Recession cone of the subgradient of a convex function.

Published on 07 May 2019 - 10:10

score 61 · Answer 8 · 2019-05-07 15:46:52

61

Views

A is affine iff it satisfies convexity condition

Published on 07 May 2019 - 15:46

score 658 · Answer 9 · 2026-03-26 04:50:39

658

Views

Equivalence of statements regarding convex function with Lipschitz continuous gradient

Published on 26 Mar 2026 - 4:50

score 53 · Answer 10 · 2026-03-25 06:06:17

53

Views

Why is this optimization problem nonconvex: ${\min}_{x \in \mathbb{C}^n} \ x^* A x \ $s.t.$|b^* x|^2 \geq 1$, $A \succeq 0$, and $b \in \mathbb{C}^n$?

Published on 25 Mar 2026 - 6:06

score 136 · Answer 11 · 2026-02-23 06:40:29

136

Views

Stability of optimal transference mappings (Exercise 2.17 in Villani's Topics in Optimal Transportaiton)

Published on 23 Feb 2026 - 6:40

score 3.2k · Answer 12 · 2026-03-25 12:16:21

3.2k

Views

Quadratic upper bound of a convex function

Published on 25 Mar 2026 - 12:16

score 1k · Answer 13 · 2019-05-09 22:58:08

1k

Views

Is the maximum of strictly convex functions also strictly convex?

Published on 09 May 2019 - 22:58

score 892 · Answer 14 · 2026-03-26 09:39:48

892

Views

What does this monotonicity condition on the gradient correspond to?

Published on 26 Mar 2026 - 9:39

score 705 · Answer 15 · 2019-05-10 19:18:11

705

Views

Equivalent definition of infimal convolution.

Published on 10 May 2019 - 19:18

List Question

Is $\mathbb{R}^2$ a convex set without extreme points?

Proving that a given set is convex using the definition

Convexity of the logarithmic barrier function of SOCP

Show that $g(r) = (a - be^{-rt})^{+}$ is neither convex nor concave in $r$ when $b > 0$.

Convexity of $|A^TA|$

Convexity of a function of generalized inverse CDF.

Recession cone of the subgradient of a convex function.

A is affine iff it satisfies convexity condition

Equivalence of statements regarding convex function with Lipschitz continuous gradient

Why is this optimization problem nonconvex: ${\min}_{x \in \mathbb{C}^n} \ x^* A x \ $s.t.$|b^* x|^2 \geq 1$, $A \succeq 0$, and $b \in \mathbb{C}^n$?

Stability of optimal transference mappings (Exercise 2.17 in Villani's Topics in Optimal Transportaiton)

Quadratic upper bound of a convex function

Is the maximum of strictly convex functions also strictly convex?

What does this monotonicity condition on the gradient correspond to?

Equivalent definition of infimal convolution.

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