Question

Condition for uniqueness of inscribed star pentagons given ordered side lengths

score 59 · Answer 1 · 2023-12-13 19:01:32

59

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Condition for uniqueness of inscribed star pentagons given ordered side lengths

Published on 13 Dec 2023 - 19:01

score 64 · Answer 2 · 2026-03-28 13:59:44

64

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Smooth convex function with unique minimizer is not strictly convex?

Published on 28 Mar 2026 - 13:59

score 18 · Answer 3 · 2023-12-14 13:56:07

18

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When maximum operator produces smooth functions?

Published on 14 Dec 2023 - 13:56

score 309 · Answer 4 · 2023-12-15 15:19:42

309

Views

How to solve: If $x+y=8$, what is the max of $x^y$?

Published on 15 Dec 2023 - 15:19

score 250 · Answer 5 · 2026-03-31 07:30:37

250

Views

Minimal area of hexagon with each side 1 unit away from a point

Published on 31 Mar 2026 - 7:30

score 359 · Answer 6 · 2023-12-18 08:29:20

359

Views

Solve the maximum of a trigonometric function without differentiation

Published on 18 Dec 2023 - 8:29

score 111 · Answer 7 · 2023-12-21 09:12:59

111

Views

Let $A+B+C=\pi$ and $\sin^2(A)+\sin^2(B)-\sin^2(C)=p$, then find range of $p$

Published on 21 Dec 2023 - 9:12

score 22 · Answer 8 · 2023-12-26 22:13:37

22

Views

How to prove that $f(x) = g(x) \cdot h(x)$ is unimodal under given constraints?

Published on 26 Dec 2023 - 22:13

score 147 · Answer 9 · 2026-02-23 20:04:46

147

Views

Let $f$ be continuous in $[0,2]$ and differentiable in $(0,2)$ such that $|f'(x)|\leqslant1$ and $f(0)=1=f(2)$. Prove that $f(x)\geqslant0$.

Published on 23 Feb 2026 - 20:04

score 87 · Answer 10 · 2026-04-02 04:30:29

87

Views

Maximizing the value of an integral in an unknown $h(x)$

Published on 02 Apr 2026 - 4:30

score 57 · Answer 11 · 2023-12-28 06:55:42

57

Views

What is the maximum volume of an upside down cone inscribed inside a hemisphere.

Published on 28 Dec 2023 - 6:55

score 58 · Answer 12 · 2023-12-28 16:14:02

58

Views

Finding maxima of a log and a linear term

Published on 28 Dec 2023 - 16:14

score 83 · Answer 13 · 2024-01-01 01:39:29

83

Views

How to prove that regular polygons have the greatest area to perimeter ratio?

Published on 01 Jan 2024 - 1:39

score 246 · Answer 14 · 2026-04-03 22:56:06

246

Views

Find the max of this function

Published on 03 Apr 2026 - 22:56

score 90 · Answer 15 · 2024-01-03 04:00:40

90

Views

How these kind of optimization problems are called (reference request)?

Published on 03 Jan 2024 - 4:00

List Question

Condition for uniqueness of inscribed star pentagons given ordered side lengths

Smooth convex function with unique minimizer is not strictly convex?

When maximum operator produces smooth functions?

How to solve: If $x+y=8$, what is the max of $x^y$?

Minimal area of hexagon with each side 1 unit away from a point

Solve the maximum of a trigonometric function without differentiation

Let $A+B+C=\pi$ and $\sin^2(A)+\sin^2(B)-\sin^2(C)=p$, then find range of $p$

How to prove that $f(x) = g(x) \cdot h(x)$ is unimodal under given constraints?

Let $f$ be continuous in $[0,2]$ and differentiable in $(0,2)$ such that $|f'(x)|\leqslant1$ and $f(0)=1=f(2)$. Prove that $f(x)\geqslant0$.

Maximizing the value of an integral in an unknown $h(x)$

What is the maximum volume of an upside down cone inscribed inside a hemisphere.

Finding maxima of a log and a linear term

How to prove that regular polygons have the greatest area to perimeter ratio?

Find the max of this function

How these kind of optimization problems are called (reference request)?

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