Question

Designing a curve that inverts

score 26 · Answer 1 · 2022-06-24 22:22:00

26

Views

Designing a curve that inverts

Published on 24 Jun 2022 - 22:22

score 152 · Answer 2 · 2026-04-02 15:54:19

152

Views

Find a single convex closed curve of fixed length in the plane that has the smallest average distance to the origin

Published on 02 Apr 2026 - 15:54

score 116 · Answer 3 · 2022-06-29 14:07:26

116

Views

Chain of $3$-cells bounded by $x$-monotone curves.

Published on 29 Jun 2022 - 14:07

score 150 · Answer 4 · 2026-04-13 09:44:36

150

Views

Find maximum curvature of a power function (a curve without a vertex where rate of change $=0$)

Published on 13 Apr 2026 - 9:44

score 99 · Answer 5 · 2026-04-10 06:43:55

99

Views

Is the level curve of a multivariable function affected by its domain of definition?

Published on 10 Apr 2026 - 6:43

score 29 · Answer 6 · 2022-07-03 15:06:28

29

Views

Normilization of smooth, closed curve with unit-speed onto Sphere is regular

Published on 03 Jul 2022 - 15:06

score 40 · Answer 7 · 2026-03-31 15:45:50

40

Views

A uniform limit of bi-Lipschitz embedding which preserves total length

Published on 31 Mar 2026 - 15:45

score 60 · Answer 8 · 2026-04-12 04:52:01

60

Views

Can a 3D curve not confined to a plane have fractal dimension anywhere between $1$ and $3$?

Published on 12 Apr 2026 - 4:52

score 54 · Answer 9 · 2022-07-05 00:17:31

54

Views

Calculate curvature necessary for line segment to cover given X-axis distance

Published on 05 Jul 2022 - 0:17

score 134 · Answer 10 · 2026-03-30 12:16:27

134

Views

If every closed curve on a surface has zero total torsion, then the surface is totally umbilic

Published on 30 Mar 2026 - 12:16

score 775 · Answer 11 · 2022-07-07 22:12:19

775

Views

Let $\alpha: I \subset \mathbb R \to \mathbb R^3$ be a regular curve in space (not necessarily Parameterized by arc length)..

Published on 07 Jul 2022 - 22:12

score 991 · Answer 12 · 2022-07-07 23:05:41

991

Views

Let $\alpha$ be a regular curve of curvature and torsion not zero. Show that $\alpha$ is helix if and only if $\frac{k}{\tau}$ is constant.

Published on 07 Jul 2022 - 23:05

score 63 · Answer 13 · 2022-07-08 11:51:30

63

Views

Definition of integral of vector field along a curve

Published on 08 Jul 2022 - 11:51

score 55 · Answer 14 · 2026-04-12 04:04:32

55

Views

Does any self-intersect curve can be uniformly approximated by non-self-intersect curves?

Published on 12 Apr 2026 - 4:04

score 38 · Answer 15 · 2026-04-10 21:08:07

38

Views

How do I find the error of a curve rather than points.

Published on 10 Apr 2026 - 21:08

List Question

Designing a curve that inverts

Find a single convex closed curve of fixed length in the plane that has the smallest average distance to the origin

Chain of $3$-cells bounded by $x$-monotone curves.

Find maximum curvature of a power function (a curve without a vertex where rate of change $=0$)

Is the level curve of a multivariable function affected by its domain of definition?

Normilization of smooth, closed curve with unit-speed onto Sphere is regular

A uniform limit of bi-Lipschitz embedding which preserves total length

Can a 3D curve not confined to a plane have fractal dimension anywhere between $1$ and $3$?

Calculate curvature necessary for line segment to cover given X-axis distance

If every closed curve on a surface has zero total torsion, then the surface is totally umbilic

Let $\alpha: I \subset \mathbb R \to \mathbb R^3$ be a regular curve in space (not necessarily Parameterized by arc length)..

Let $\alpha$ be a regular curve of curvature and torsion not zero. Show that $\alpha$ is helix if and only if $\frac{k}{\tau}$ is constant.

Definition of integral of vector field along a curve

Does any self-intersect curve can be uniformly approximated by non-self-intersect curves?

How do I find the error of a curve rather than points.

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