Question

Every compact convex set in $\mathbb{C}$ is the intersection of all closed half-space containing it

score 488 · Answer 1 · 2026-05-14 16:06:46

488

Views

Every compact convex set in $\mathbb{C}$ is the intersection of all closed half-space containing it

Published on 14 May 2026 - 16:06

score 52 · Answer 2 · 2026-05-10 14:49:25

52

Views

What are the requirements on the function f(x) for the L_2 norm of f(x) to be a convex function?

Published on 10 May 2026 - 14:49

score 64 · Answer 3 · 2026-04-11 20:00:52

64

Views

Positive semidefiniteness of symmetric matrix

Published on 11 Apr 2026 - 20:00

score 222 · Answer 4 · 2026-05-11 17:22:08

222

Views

If Hausdorff distance $d(A,B) < ε$ for some $ε$, where $A,B$ of $\mathbb{R}^n$ are compact, convex subsets does $\dim(A) = \dim(B)$?

Published on 11 May 2026 - 17:22

score 226 · Answer 5 · 2026-04-16 20:02:27

226

Views

Example of a plane region with smooth boundary whose polar dual also has a smooth boundary

Published on 16 Apr 2026 - 20:02

score 33 · Answer 6 · 2026-05-11 07:20:22

33

Views

Lower semi-continuous function $f : C \rightarrow \mathbb{R} $ such that $C\subset \mathbb{R}^2$, $C$ is compact and convex

Published on 11 May 2026 - 7:20

score 74 · Answer 7 · 2026-04-14 04:23:50

74

Views

A segment can be divided with consecutive points in the same closed subset.

Published on 14 Apr 2026 - 4:23

score 1k · Answer 8 · 2026-05-10 16:06:00

1k

Views

Determining whether the following function is convex, concave, or neither of the two

Published on 10 May 2026 - 16:06

score 395 · Answer 9 · 2026-04-25 11:35:48

395

Views

Convex function with unique critical point is coercive

Published on 25 Apr 2026 - 11:35

score 38 · Answer 10 · 2026-05-10 15:52:04

38

Views

How to use the convexity of the norm with the limit?

Published on 10 May 2026 - 15:52

score 774 · Answer 11 · 2026-04-08 16:07:35

774

Views

Is unconstrained optimization more preferable to constrained one?

Published on 08 Apr 2026 - 16:07

score 38 · Answer 12 · 2026-04-15 17:18:04

38

Views

Is $\sum_{i} \sum_{j} x_{ij} \log(\frac{a_{ij}}{\sum_{i}x_{ij}} +1) $ concave?

Published on 15 Apr 2026 - 17:18

score 193 · Answer 13 · 2026-05-10 12:55:09

193

Views

Show that if z is an extreme point of X = co{$x_1,...,x_k$} then z = $x_i$ for some i

Published on 10 May 2026 - 12:55

score 110 · Answer 14 · 2026-05-13 19:27:35

110

Views

Convexity of this function, the ordinary definition of convex functions took me a lot of time!

Published on 13 May 2026 - 19:27

score 180 · Answer 15 · 2026-04-11 10:38:39

180

Views

A characterization of functions that preserve weak-majorization ordering

Published on 11 Apr 2026 - 10:38

List Question

Every compact convex set in $\mathbb{C}$ is the intersection of all closed half-space containing it

What are the requirements on the function f(x) for the L_2 norm of f(x) to be a convex function?

Positive semidefiniteness of symmetric matrix

If Hausdorff distance $d(A,B) < ε$ for some $ε$, where $A,B$ of $\mathbb{R}^n$ are compact, convex subsets does $\dim(A) = \dim(B)$?

Example of a plane region with smooth boundary whose polar dual also has a smooth boundary

Lower semi-continuous function $f : C \rightarrow \mathbb{R} $ such that $C\subset \mathbb{R}^2$, $C$ is compact and convex

A segment can be divided with consecutive points in the same closed subset.

Determining whether the following function is convex, concave, or neither of the two

Convex function with unique critical point is coercive

How to use the convexity of the norm with the limit?

Is unconstrained optimization more preferable to constrained one?

Is $\sum_{i} \sum_{j} x_{ij} \log(\frac{a_{ij}}{\sum_{i}x_{ij}} +1) $ concave?

Show that if z is an extreme point of X = co{$x_1,...,x_k$} then z = $x_i$ for some i

Convexity of this function, the ordinary definition of convex functions took me a lot of time!

A characterization of functions that preserve weak-majorization ordering

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