Question

If a saddle point is on the boundary, is it a local extremum?

score 410 · Answer 1 · 2019-09-12 20:26:52

410

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If a saddle point is on the boundary, is it a local extremum?

Published on 12 Sep 2019 - 20:26

score 64 · Answer 2 · 2026-03-25 23:36:14

64

Views

Minimizing $L^1$ Norm Subject to Linear Dynamics

Published on 25 Mar 2026 - 23:36

score 67 · Answer 3 · 2019-09-15 13:42:30

67

Views

Solving critical points and classifying the maxima, minima and saddle points

Published on 15 Sep 2019 - 13:42

score 43 · Answer 4 · 2026-03-27 13:03:33

43

Views

when fix $a^2b+b^2a$,the minimal value of $a^2+ab+b^2$ occurs when $1\in\{a\}\bigcup\{b\}$

Published on 27 Mar 2026 - 13:03

score 26 · Answer 5 · 2019-09-17 19:53:24

26

Views

factor: $x^{\alpha-2}~(1-x)^{\beta-2}~\bigg((\alpha-1)(1-x)-(\beta-1)x\bigg)=0$

Published on 17 Sep 2019 - 19:53

score 40 · Answer 6 · 2026-03-28 05:57:56

40

Views

Integer minimization problem: products of (powers minus one)

Published on 28 Mar 2026 - 5:57

score 68 · Answer 7 · 2026-03-28 03:03:03

68

Views

Find argmax $\frac{1}{2b}(\frac{x}{Na})^{\frac{N-1}{2}}e^{-\frac{1}{2b}(x+Na)}\frac{1}{\sqrt{2\pi(N-1)}}(\frac{\frac{e}{b}\sqrt{Nax}}{2(N-1)})^{N-1}$

Published on 28 Mar 2026 - 3:03

score 200 · Answer 8 · 2019-09-20 04:18:46

200

Views

Second derivative test with non zero result

Published on 20 Sep 2019 - 4:18

score 181 · Answer 9 · 2019-09-20 23:34:01

181

Views

Maximization of 4-variable function...

Published on 20 Sep 2019 - 23:34

score 70 · Answer 10 · 2026-03-25 11:15:54

70

Views

I can't find the maximum value of P because of some problems in my solution.

Published on 25 Mar 2026 - 11:15

score 670 · Answer 11 · 2019-09-21 22:38:57

670

Views

Find minimum value of $\cos\alpha$, given $\sin\alpha+\sin\beta+\sin\gamma=1$ and $\cos\alpha+\cos\beta+\cos\gamma=1$

Published on 21 Sep 2019 - 22:38

score 504 · Answer 12 · 2019-09-22 10:05:05

504

Views

Notation of maximum with a limited number of elements

Published on 22 Sep 2019 - 10:05

score 75 · Answer 13 · 2019-09-23 16:55:58

75

Views

Optimize $f(x,y) = \sqrt{3} x + y$ over the upper half of a circle.

Published on 23 Sep 2019 - 16:55

score 91 · Answer 14 · 2019-09-25 11:02:37

91

Views

Minimizing a bivariate quartic

Published on 25 Sep 2019 - 11:02

score 3.3k · Answer 15 · 2026-03-27 04:23:49

3.3k

Views

Find the maximum and minimum values of $f(x,y,z)=x+y+z$ subject to the constraints $x^2-y^2=z$ and $x^2+z^2=4$

Published on 27 Mar 2026 - 4:23

List Question

If a saddle point is on the boundary, is it a local extremum?

Minimizing $L^1$ Norm Subject to Linear Dynamics

Solving critical points and classifying the maxima, minima and saddle points

when fix $a^2b+b^2a$,the minimal value of $a^2+ab+b^2$ occurs when $1\in\{a\}\bigcup\{b\}$

factor: $x^{\alpha-2}~(1-x)^{\beta-2}~\bigg((\alpha-1)(1-x)-(\beta-1)x\bigg)=0$

Integer minimization problem: products of (powers minus one)

Find argmax $\frac{1}{2b}(\frac{x}{Na})^{\frac{N-1}{2}}e^{-\frac{1}{2b}(x+Na)}\frac{1}{\sqrt{2\pi(N-1)}}(\frac{\frac{e}{b}\sqrt{Nax}}{2(N-1)})^{N-1}$

Second derivative test with non zero result

Maximization of 4-variable function...

I can't find the maximum value of P because of some problems in my solution.

Find minimum value of $\cos\alpha$, given $\sin\alpha+\sin\beta+\sin\gamma=1$ and $\cos\alpha+\cos\beta+\cos\gamma=1$

Notation of maximum with a limited number of elements

Optimize $f(x,y) = \sqrt{3} x + y$ over the upper half of a circle.

Minimizing a bivariate quartic

Find the maximum and minimum values of $f(x,y,z)=x+y+z$ subject to the constraints $x^2-y^2=z$ and $x^2+z^2=4$

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