Question

Intuitive explanation of why a chord of a convex function has to be a straight line

score 926 · Answer 1 · 2014-11-01 19:48:38

926

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Intuitive explanation of why a chord of a convex function has to be a straight line

Published on 01 Nov 2014 - 19:48

score 57 · Answer 2 · 2026-03-25 10:52:47

57

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How does $\in$ behave with simple algebra dealing with sub gradients?

Published on 25 Mar 2026 - 10:52

score 1k · Answer 3 · 2026-03-25 10:59:03

1k

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The Sub Differential of the Separable Sum $ R \left( w \right) = \sum^{d}_{j=1} \left| w_j \right|$ ($ {L}_{1} $ Norm of a Vector)

Published on 25 Mar 2026 - 10:59

score 5.1k · Answer 4 · 2026-03-25 12:29:22

5.1k

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If $f$ is continuous and $\,f\big(\frac{1}2(x+y)\big) \le \frac{1}{2}\big(\,f(x)+f(y)\big)$, then $f$ is convex

Published on 25 Mar 2026 - 12:29

score 56 · Answer 5 · 2014-11-02 10:15:19

56

Views

discussing the existence of a convex function

Published on 02 Nov 2014 - 10:15

score 314 · Answer 6 · 2014-11-02 11:03:24

314

Views

Second order cone with quadratic interpretation

Published on 02 Nov 2014 - 11:03

score 770 · Answer 7 · 2014-11-04 15:45:35

770

Views

Does there exist regular planar pentagon?

Published on 04 Nov 2014 - 15:45

score 1.3k · Answer 8 · 2014-11-04 20:11:26

1.3k

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Equivalence of semi concavity of function $g$ and convexity of function $x\mapsto \frac c 2 |x|^2 - g(x)$

Published on 04 Nov 2014 - 20:11

score 831 · Answer 9 · 2014-11-05 13:30:42

831

Views

Origin of the term `quermassintegral'.

Published on 05 Nov 2014 - 13:30

score 1.6k · Answer 10 · 2014-11-05 22:11:52

1.6k

Views

Jensen's inequality: proof by using linear functions

Published on 05 Nov 2014 - 22:11

score 364 · Answer 11 · 2026-03-25 16:00:22

364

Views

Is the algebraic interior relatively open in a closed convex set?

Published on 25 Mar 2026 - 16:00

score 499 · Answer 12 · 2014-11-07 01:32:57

499

Views

finding a counter example to Caratheodory's convex hull theorem for infinite dimentional space

Published on 07 Nov 2014 - 1:32

score 1.6k · Answer 13 · 2014-11-07 15:42:50

1.6k

Views

Reverse Mean Value Theorem for convex functions

Published on 07 Nov 2014 - 15:42

score 700 · Answer 14 · 2014-11-07 16:52:54

700

Views

How to determine if a vector belongs to the conical hull of a set of vectors?

Published on 07 Nov 2014 - 16:52

score 237 · Answer 15 · 2014-11-08 14:09:39

237

Views

Is this function convex or concave

Published on 08 Nov 2014 - 14:09

List Question

Intuitive explanation of why a chord of a convex function has to be a straight line

How does $\in$ behave with simple algebra dealing with sub gradients?

The Sub Differential of the Separable Sum $ R \left( w \right) = \sum^{d}_{j=1} \left| w_j \right|$ ($ {L}_{1} $ Norm of a Vector)

If $f$ is continuous and $\,f\big(\frac{1}2(x+y)\big) \le \frac{1}{2}\big(\,f(x)+f(y)\big)$, then $f$ is convex

discussing the existence of a convex function

Second order cone with quadratic interpretation

Does there exist regular planar pentagon?

Equivalence of semi concavity of function $g$ and convexity of function $x\mapsto \frac c 2 |x|^2 - g(x)$

Origin of the term `quermassintegral'.

Jensen's inequality: proof by using linear functions

Is the algebraic interior relatively open in a closed convex set?

finding a counter example to Caratheodory's convex hull theorem for infinite dimentional space

Reverse Mean Value Theorem for convex functions

How to determine if a vector belongs to the conical hull of a set of vectors?

Is this function convex or concave

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