Question

Which plane curve parametrized by arc-length has curvature $\kappa(s) = \frac{1}{s}$

score 651 · Answer 1 · 2026-03-25 03:03:57

651

Views

Which plane curve parametrized by arc-length has curvature $\kappa(s) = \frac{1}{s}$

Published on 25 Mar 2026 - 3:03

score 36 · Answer 2 · 2018-05-07 00:44:06

36

Views

gradient integration equality

Published on 07 May 2018 - 0:44

score 83 · Answer 3 · 2026-03-25 12:49:04

83

Views

Showing the norm decreases then increases when going through the origin

Published on 25 Mar 2026 - 12:49

score 46 · Answer 4 · 2026-03-25 04:41:33

46

Views

Formula for turning number $n_T$ of a simple closed curve $a : [0,S] \rightarrow \mathbb{R^2}$

Published on 25 Mar 2026 - 4:41

score 1.3k · Answer 5 · 2018-05-08 07:11:00

1.3k

Views

Parameterization of a path to the summit of $z=1-x^2 -y^2$

Published on 08 May 2018 - 7:11

score 156 · Answer 6 · 2018-05-09 06:27:21

156

Views

The ellipse of the maximum area contained between the curves $\frac{\pm 1}{x^2+c} $

Published on 09 May 2018 - 6:27

score 30 · Answer 7 · 2018-05-09 08:44:56

30

Views

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Published on 09 May 2018 - 8:44

score 122 · Answer 8 · 2026-03-25 03:02:36

122

Views

Prove that there are maximum 4 points on every convex closed Jordan curve $C$ which avoids intersection under certain rotaitions

Published on 25 Mar 2026 - 3:02

score 28 · Answer 9 · 2018-05-10 10:31:31

28

Views

How to sketch this polar curve with range $0\le\theta\lt2\pi$

Published on 10 May 2018 - 10:31

score 119 · Answer 10 · 2018-05-10 15:33:41

119

Views

How to find a curve which satisfies some properties?

Published on 10 May 2018 - 15:33

score 86 · Answer 11 · 2026-03-24 23:45:53

86

Views

Prove that $\varphi(s):[0,l]\rightarrow {\mathbb{R}^{3}}$ is a regular parametrization of the curve $C$

Published on 24 Mar 2026 - 23:45

score 92 · Answer 12 · 2018-05-12 17:37:34

92

Views

For piecewise $\mathcal C^1$ path there exists a $\mathcal C^1$ reparametrization

Published on 12 May 2018 - 17:37

score 78 · Answer 13 · 2026-03-25 07:41:56

78

Views

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Published on 25 Mar 2026 - 7:41

score 1.6k · Answer 14 · 2026-03-25 01:27:15

1.6k

Views

Show that the following curve is not rectifiable

Published on 25 Mar 2026 - 1:27

score 295 · Answer 15 · 2026-03-25 06:31:53

295

Views

Sigmoid functions for a biased random number generator

Published on 25 Mar 2026 - 6:31

List Question

Which plane curve parametrized by arc-length has curvature $\kappa(s) = \frac{1}{s}$

gradient integration equality

Showing the norm decreases then increases when going through the origin

Formula for turning number $n_T$ of a simple closed curve $a : [0,S] \rightarrow \mathbb{R^2}$

Parameterization of a path to the summit of $z=1-x^2 -y^2$

The ellipse of the maximum area contained between the curves $\frac{\pm 1}{x^2+c} $

Understanding $a$ and $b$ variables in curve functions

Prove that there are maximum 4 points on every convex closed Jordan curve $C$ which avoids intersection under certain rotaitions

How to sketch this polar curve with range $0\le\theta\lt2\pi$

How to find a curve which satisfies some properties?

Prove that $\varphi(s):[0,l]\rightarrow {\mathbb{R}^{3}}$ is a regular parametrization of the curve $C$

For piecewise $\mathcal C^1$ path there exists a $\mathcal C^1$ reparametrization

How to calculate diminishing returns between two %s on a variable?

Show that the following curve is not rectifiable

Sigmoid functions for a biased random number generator

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