Question

Proving the convexity of $f(x,y) = x^2 + y^2 + |xy|$

score 57 · Answer 1 · 2024-03-18 17:37:08

57

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Proving the convexity of $f(x,y) = x^2 + y^2 + |xy|$

Published on 18 Mar 2024 - 17:37

score 158 · Answer 2 · 2026-03-25 14:36:49

158

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The normal cone to a ball at a boundary point of the ball

Published on 25 Mar 2026 - 14:36

score 33 · Answer 3 · 2026-02-23 04:17:58

33

Views

A Question on the Brunn-Minkowski inequality

Published on 23 Feb 2026 - 4:17

score 60 · Answer 4 · 2026-03-26 22:15:23

60

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How Can I Prove this Version of Minkowski’s Theorem: $vol(C)>k2^d$ with $2k$ Lattice Points?

Published on 26 Mar 2026 - 22:15

score 80 · Answer 5 · 2026-03-26 22:17:30

80

Views

How Do I Prove that $\mathbb{E}^d\nrightarrow (l_4)_3$?

Published on 26 Mar 2026 - 22:17

score 57 · Answer 6 · 2026-03-27 00:04:25

57

Views

Is this Proof Correct: If $C$ is a Convex Set with Finite Volume, then $C$ is Bounded?

Published on 27 Mar 2026 - 0:04

score 29 · Answer 7 · 2026-03-26 22:17:33

29

Views

How Do I Prove this Version of Dirichlet’s Theorem

Published on 26 Mar 2026 - 22:17

score 25 · Answer 8 · 2024-03-30 23:16:27

25

Views

Separation of convex sets in finite dimensionale space

Published on 30 Mar 2024 - 23:16

score 16 · Answer 9 · 2026-03-08 10:20:56

16

Views

Prove that if a curve y(x) is concave, (dy/dx, y-intercept of tangent to curve with slope dy/dx) are the coordinates of g(t), the supremum of y-tx

Published on 08 Mar 2026 - 10:20

score 43 · Answer 10 · 2026-03-26 14:42:10

43

Views

Is every extreme point in a compact convex set contained in a defining supporting hyperplane?

Published on 26 Mar 2026 - 14:42

score 3.9k · Answer 11 · 2015-01-24 13:54:18

3.9k

Views

Prove that a non-empty closed convex $S$ has an extreme point iff it does not contain any line

Published on 24 Jan 2015 - 13:54

score 539 · Answer 12 · 2015-06-23 05:37:28

539

Views

Prove a closed ball in $\mathbb R^3$ has an infinite number of extreme points.

Published on 23 Jun 2015 - 5:37

score 79 · Answer 13 · 2026-03-27 16:52:58

79

Views

Reconstruct polyhedron from sections

Published on 27 Mar 2026 - 16:52

score 651 · Answer 14 · 2026-03-27 14:53:49

651

Views

Show that the face of a face of a polyhedron $\mathcal P\subset\mathbb R^n$ is still a face of $\mathcal P$

Published on 27 Mar 2026 - 14:53

score 7.7k · Answer 15 · 2015-09-14 20:05:21

7.7k

Views

Question about existance of global minimum in a strictly convex function

Published on 14 Sep 2015 - 20:05

List Question

Proving the convexity of $f(x,y) = x^2 + y^2 + |xy|$

The normal cone to a ball at a boundary point of the ball

A Question on the Brunn-Minkowski inequality

How Can I Prove this Version of Minkowski’s Theorem: $vol(C)>k2^d$ with $2k$ Lattice Points?

How Do I Prove that $\mathbb{E}^d\nrightarrow (l_4)_3$?

Is this Proof Correct: If $C$ is a Convex Set with Finite Volume, then $C$ is Bounded?

How Do I Prove this Version of Dirichlet’s Theorem

Separation of convex sets in finite dimensionale space

Prove that if a curve y(x) is concave, (dy/dx, y-intercept of tangent to curve with slope dy/dx) are the coordinates of g(t), the supremum of y-tx

Is every extreme point in a compact convex set contained in a defining supporting hyperplane?

Prove that a non-empty closed convex $S$ has an extreme point iff it does not contain any line

Prove a closed ball in $\mathbb R^3$ has an infinite number of extreme points.

Reconstruct polyhedron from sections

Show that the face of a face of a polyhedron $\mathcal P\subset\mathbb R^n$ is still a face of $\mathcal P$

Question about existance of global minimum in a strictly convex function

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