Question

Prove that $f(x') \geq \nabla f(x) \cdot x' $ for $x \in \mathbb{R}^n$ and $ x' \in B(x,r) \subset \mathbb{R}^n \setminus \{0\}$

score 70 · Answer 1 · 2021-04-14 20:07:25

70

Views

Prove that $f(x') \geq \nabla f(x) \cdot x' $ for $x \in \mathbb{R}^n$ and $ x' \in B(x,r) \subset \mathbb{R}^n \setminus \{0\}$

Published on 14 Apr 2021 - 20:07

score 192 · Answer 2 · 2026-04-13 08:28:21

192

Views

let $f$ be a convex function, homogeneous of degree 1, prove that $\forall x \in \mathbb{R^n}, f(-x ) \geq -f(x) $

Published on 13 Apr 2026 - 8:28

score 163 · Answer 3 · 2026-04-12 21:38:28

163

Views

Reference request: Theorems which ensure the existence of a minimum

Published on 12 Apr 2026 - 21:38

score 106 · Answer 4 · 2026-04-09 12:12:54

106

Views

partial differentiation, finding relative extrema

Published on 09 Apr 2026 - 12:12

score 217 · Answer 5 · 2021-04-17 00:24:49

217

Views

Maximum value of $ y = 3 \cos\alpha \sin\alpha + \sqrt 3 \sin^2\alpha$

Published on 17 Apr 2021 - 0:24

score 47 · Answer 6 · 2026-04-13 11:38:11

47

Views

Approximation for a system of linear functions

Published on 13 Apr 2026 - 11:38

score 81 · Answer 7 · 2026-04-12 23:19:12

81

Views

How to find the smallest value in an infinite sequence whose liminf exist?

Published on 12 Apr 2026 - 23:19

score 75 · Answer 8 · 2026-04-13 06:27:13

75

Views

Prove that the minimum is less than one

Published on 13 Apr 2026 - 6:27

score 62 · Answer 9 · 2026-04-09 06:44:34

62

Views

Proof of directional derivatives must vanish at bistable points.

Published on 09 Apr 2026 - 6:44

score 174 · Answer 10 · 2026-04-11 11:57:33

174

Views

Example of a function with exactly two horizontal and vertical asymptotes, and an odd function with its absolute maximum value at exactly two points?

Published on 11 Apr 2026 - 11:57

score 56 · Answer 11 · 2026-04-11 00:45:36

56

Views

Missing a link in this proof of the Weak Maximum Principle.

Published on 11 Apr 2026 - 0:45

score 44 · Answer 12 · 2021-04-23 00:36:18

44

Views

Can anyone tell me if my proof is right or if there exists easier proof?

Published on 23 Apr 2021 - 0:36

score 71 · Answer 13 · 2026-04-12 08:10:54

71

Views

Minmax combinatorial optimization with target set size constraint

Published on 12 Apr 2026 - 8:10

score 43 · Answer 14 · 2026-04-09 03:34:03

43

Views

How to reduce the problem to apply EVT

Published on 09 Apr 2026 - 3:34

score 31 · Answer 15 · 2026-04-12 02:02:13

31

Views

finding the max of a function

Published on 12 Apr 2026 - 2:02

List Question

Prove that $f(x') \geq \nabla f(x) \cdot x' $ for $x \in \mathbb{R}^n$ and $ x' \in B(x,r) \subset \mathbb{R}^n \setminus \{0\}$

let $f$ be a convex function, homogeneous of degree 1, prove that $\forall x \in \mathbb{R^n}, f(-x ) \geq -f(x) $

Reference request: Theorems which ensure the existence of a minimum

partial differentiation, finding relative extrema

Maximum value of $ y = 3 \cos\alpha \sin\alpha + \sqrt 3 \sin^2\alpha$

Approximation for a system of linear functions

How to find the smallest value in an infinite sequence whose liminf exist?

Prove that the minimum is less than one

Proof of directional derivatives must vanish at bistable points.

Example of a function with exactly two horizontal and vertical asymptotes, and an odd function with its absolute maximum value at exactly two points?

Missing a link in this proof of the Weak Maximum Principle.

Can anyone tell me if my proof is right or if there exists easier proof?

Minmax combinatorial optimization with target set size constraint

How to reduce the problem to apply EVT

finding the max of a function

Trending Questions

Popular # Hahtags

Popular Questions