Question

An exercise in high-dimensional chain rule and Jacobians

score 139 · Answer 1 · 2026-04-14 01:16:05

139

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An exercise in high-dimensional chain rule and Jacobians

Published on 14 Apr 2026 - 1:16

score 125 · Answer 2 · 2026-04-15 11:20:44

125

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Calculate the dual basis and tangent basis vectors

Published on 15 Apr 2026 - 11:20

score 867 · Answer 3 · 2026-04-13 03:10:21

867

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Atmospheric pressure as a function of altitude

Published on 13 Apr 2026 - 3:10

score 190 · Answer 4 · 2026-04-16 13:38:24

190

Views

Lipschitz gradient of product with softmax function

Published on 16 Apr 2026 - 13:38

score 80 · Answer 5 · 2026-04-14 06:40:13

80

Views

Can a vector field be both the gradient of a scalar function and the curl of another vector field?

Published on 14 Apr 2026 - 6:40

score 86 · Answer 6 · 2026-05-10 19:47:10

86

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Calculate the angle between vectors in equation. When does the conductivity tensor component take the form $\sigma_{ab} = \bar \sigmaδ_{ab}$?

Published on 10 May 2026 - 19:47

score 121 · Answer 7 · 2026-04-10 20:00:04

121

Views

Electric Potential Line Integral: Two Methods and Two Different Results

Published on 10 Apr 2026 - 20:00

score 396 · Answer 8 · 2026-04-12 09:54:03

Proof of expression for Christoffel symbols of the first kind, $[i , j k] = {\bf e}_i \cdot \frac{\partial {\bf e}_j}{\partial x^k}$

score 36 · Answer 9 · 2026-04-11 20:25:13

36

Views

Alternative method to compute expressions with nabla

Published on 11 Apr 2026 - 20:25

score 65 · Answer 10 · 2026-04-16 08:37:09

65

Views

Total derivative of $f(x_1, x_2, x_3) = x_1^{2x_2x_3}$

Published on 16 Apr 2026 - 8:37

score 1k · Answer 11 · 2026-04-14 14:20:16

1k

Views

Partial derivatives in tensor/index notation!

Published on 14 Apr 2026 - 14:20

score 50 · Answer 12 · 2026-04-15 18:21:05

50

Views

Derive least square equation $A^TA\hat{x} = A^Tb$ from $||A\hat{x} - b||_2^2$

Published on 15 Apr 2026 - 18:21

score 46 · Answer 13 · 2026-04-17 04:03:48

46

Views

gradient multivariate quadratic expansion

Published on 17 Apr 2026 - 4:03

score 61 · Answer 14 · 2026-04-14 06:50:19

61

Views

What is the relationship between Calculus and Vector Calculus?

Published on 14 Apr 2026 - 6:50

score 53 · Answer 15 · 2026-04-16 02:02:49

53

Views

Partial derivatives for $\|x\|^2 = x_1^2+\dots+ x_n^2$

Published on 16 Apr 2026 - 2:02

List Question

An exercise in high-dimensional chain rule and Jacobians

Calculate the dual basis and tangent basis vectors

Atmospheric pressure as a function of altitude

Lipschitz gradient of product with softmax function

Can a vector field be both the gradient of a scalar function and the curl of another vector field?

Calculate the angle between vectors in equation. When does the conductivity tensor component take the form $\sigma_{ab} = \bar \sigmaδ_{ab}$?

Electric Potential Line Integral: Two Methods and Two Different Results

Proof of expression for Christoffel symbols of the first kind, $[i , j k] = {\bf e}_i \cdot \frac{\partial {\bf e}_j}{\partial x^k}$

Alternative method to compute expressions with nabla

Total derivative of $f(x_1, x_2, x_3) = x_1^{2x_2x_3}$

Partial derivatives in tensor/index notation!

Derive least square equation $A^TA\hat{x} = A^Tb$ from $||A\hat{x} - b||_2^2$

gradient multivariate quadratic expansion

What is the relationship between Calculus and Vector Calculus?

Partial derivatives for $\|x\|^2 = x_1^2+\dots+ x_n^2$

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