Question

Computing the Right Jacobian on Lie Group

score 349 · Answer 1 · 2023-03-23 21:54:07

349

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Computing the Right Jacobian on Lie Group

Published on 23 Mar 2023 - 21:54

score 134 · Answer 2 · 2026-03-26 07:35:21

134

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rank of jacobian matrix of generators of ideal of affine variety is the dimension as a subspace of k^n

Published on 26 Mar 2026 - 7:35

score 41 · Answer 3 · 2023-04-04 15:08:32

41

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Jacobi's Formula for Solutions of $\dot{x}=f(x)$

Published on 04 Apr 2023 - 15:08

score 73 · Answer 4 · 2023-04-23 15:51:28

73

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It is true that $\|f\cdot \nabla^2f\|\leq \|\nabla f + \epsilon\|^2$?

Published on 23 Apr 2023 - 15:51

score 51 · Answer 5 · 2026-03-26 13:52:14

51

Views

How to prove $\left\Vert\nabla \frac{f}{||\nabla f||+\epsilon}\right\Vert\leq {\rm constant}$?

Published on 26 Mar 2026 - 13:52

score 38 · Answer 6 · 2026-03-25 11:04:53

38

Views

Find the area of the plane region defined by $x^{2/3}+y^{2/3}≤ 1$ , $x≥0$ , $y≥0$ using a change of variables

Published on 25 Mar 2026 - 11:04

score 113 · Answer 7 · 2026-03-25 19:05:26

113

Views

Show that $\mathbb RP^n$ with the standard smooth structure is orientable if and only if $n$ is odd

Published on 25 Mar 2026 - 19:05

score 30 · Answer 8 · 2023-04-26 12:25:20

30

Views

Double Integral Change of Variables - Basic Idea Behind It and Application on Easy Example

Published on 26 Apr 2023 - 12:25

score 83 · Answer 9 · 2023-05-01 01:25:16

83

Views

Unified notation for derivatives, partial derivatives, Jacobians, and more

Published on 01 May 2023 - 1:25

score 52 · Answer 10 · 2026-03-25 15:43:45

52

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Is the gradient of a function $f : \mathbb{R}^2 \to \mathbb{R}^1$ the best $1$-dimensional approximated linear transformation at a point $v$?

Published on 25 Mar 2026 - 15:43

score 50 · Answer 11 · 2023-05-06 00:12:32

50

Views

If the Jacobian of a vector field is symmetric, is the vector field a gradient?

Published on 06 May 2023 - 0:12

score 17 · Answer 12 · 2026-03-14 10:13:49

17

Views

Find the mass of the first orthant $(x, y, z ≥ 0)$ surface of the 3D sphere with a point density of $δ(x,y,z) = xyz$ using a surface integral.

Published on 14 Mar 2026 - 10:13

score 46 · Answer 13 · 2026-03-25 22:05:25

46

Views

Bounding the Hausdorff Meausure of the image of a monotone bounded map

Published on 25 Mar 2026 - 22:05

score 25 · Answer 14 · 2026-03-25 06:12:19

25

Views

How to calculate a co-ordinate transformation between two metrics at a moving boundary?

Published on 25 Mar 2026 - 6:12

score 45 · Answer 15 · 2023-05-14 14:38:00

45

Views

What definition do you give these algebraic structures of "unmapped" (sorry for unrigorous definition) functions?

Published on 14 May 2023 - 14:38

List Question

Computing the Right Jacobian on Lie Group

rank of jacobian matrix of generators of ideal of affine variety is the dimension as a subspace of k^n

Jacobi's Formula for Solutions of $\dot{x}=f(x)$

It is true that $\|f\cdot \nabla^2f\|\leq \|\nabla f + \epsilon\|^2$?

How to prove $\left\Vert\nabla \frac{f}{||\nabla f||+\epsilon}\right\Vert\leq {\rm constant}$?

Find the area of the plane region defined by $x^{2/3}+y^{2/3}≤ 1$ , $x≥0$ , $y≥0$ using a change of variables

Show that $\mathbb RP^n$ with the standard smooth structure is orientable if and only if $n$ is odd

Double Integral Change of Variables - Basic Idea Behind It and Application on Easy Example

Unified notation for derivatives, partial derivatives, Jacobians, and more

Is the gradient of a function $f : \mathbb{R}^2 \to \mathbb{R}^1$ the best $1$-dimensional approximated linear transformation at a point $v$?

If the Jacobian of a vector field is symmetric, is the vector field a gradient?

Find the mass of the first orthant $(x, y, z ≥ 0)$ surface of the 3D sphere with a point density of $δ(x,y,z) = xyz$ using a surface integral.

Bounding the Hausdorff Meausure of the image of a monotone bounded map

How to calculate a co-ordinate transformation between two metrics at a moving boundary?

What definition do you give these algebraic structures of "unmapped" (sorry for unrigorous definition) functions?

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