User Cryo

8 votes

Justifying the "Physicist's method" for ODEs using differential forms

answered Mar 28, 2020 at 2:52

4 votes

Accepted

Invariance of volume form under coordinate transformations

answered Dec 12, 2020 at 23:02

2 votes

What object exactly is $\frac{d \bar{z}}{dz}$?

answered Mar 30, 2021 at 12:13

2 votes

Accepted

Understanding the proof of non-additivity of outer measure

answered Apr 24, 2021 at 7:50

2 votes

Sphere's surface area element using differential forms

answered Sep 29, 2020 at 6:18

2 votes

Accepted

Proof that $\frac{d}{dt} \log |A(t)| = \text{Tr}\left[A(t)^{-1} \frac{d}{dt} A \right]$

answered Oct 30, 2020 at 21:27

2 votes

Accepted

How do I find the bounds for an integral between a plane and a sphere?

answered Oct 30, 2020 at 20:50

1 vote

Accepted

Levi-Civta symbol question

answered Oct 17, 2020 at 11:04

1 vote

Accepted

Interesting properties of Green's function

answered Nov 1, 2020 at 14:11

1 vote

Why doesn't ds appear in the statement of Green's Theorem?

answered Feb 23, 2019 at 1:54

1 vote

How to Compute the Rotation Matrix?

answered Jan 24, 2021 at 18:33

1 vote

How to calculate the Rotation Matrix from other known values?

answered Jan 25, 2021 at 0:21

0 votes

Jacobian Matrix and dot product question

answered Jan 2, 2021 at 22:33

0 votes

Accepted

How to find the tangent hyperplane in $n$-dimensions?

answered Aug 8, 2021 at 23:07

0 votes

Action of a 1-form on the push-forward and pull-back of a vector

answered Feb 18, 2019 at 12:05

0 votes

Orthogonal 3D rotational matrices

answered Feb 23, 2020 at 0:15

0 votes

Prove that $\int_S\left(d\vec\sigma\times \vec\nabla\right)\times \vec P=\int_{\partial S}d\vec r\times \vec P~.$

answered Oct 13, 2020 at 20:57

0 votes

Eigenvalues of a 3x3 orthogonal matrix

answered Dec 15, 2020 at 10:04

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18 Answers

Justifying the "Physicist's method" for ODEs using differential forms

Invariance of volume form under coordinate transformations

What object exactly is $\frac{d \bar{z}}{dz}$?

Understanding the proof of non-additivity of outer measure

Sphere's surface area element using differential forms

Proof that $\frac{d}{dt} \log |A(t)| = \text{Tr}\left[A(t)^{-1} \frac{d}{dt} A \right]$

How do I find the bounds for an integral between a plane and a sphere?

Levi-Civta symbol question

Interesting properties of Green's function

Why doesn't ds appear in the statement of Green's Theorem?

How to Compute the Rotation Matrix?

How to calculate the Rotation Matrix from other known values?

Jacobian Matrix and dot product question

How to find the tangent hyperplane in $n$-dimensions?

Action of a 1-form on the push-forward and pull-back of a vector

Orthogonal 3D rotational matrices

Prove that $\int_S\left(d\vec\sigma\times \vec\nabla\right)\times \vec P=\int_{\partial S}d\vec r\times \vec P~.$

Eigenvalues of a 3x3 orthogonal matrix