User Talmsmen

6 votes

0 answers

180 views

Generalizing Contour Integration to Quaternions

asked Feb 28, 2021 at 5:37

5 votes

1 answer

102 views

Relationship of a Simplex to a Symplectic Manifold

differential-geometry symplectic-geometry simplex

asked Apr 1, 2021 at 20:05

4 votes

1 answer

84 views

Solving $X'(x)=X(x)M(x)$

linear-algebra systems-of-equations

asked May 18, 2021 at 2:18

3 votes

1 answer

73 views

Calculating $Df$ for $f(z)=\frac{z^3}{\overline{z}}$

complex-analysis partial-derivative

asked Jun 22, 2021 at 2:41

2 votes

0 answers

106 views

Prove $\omega=\lambda d\theta + dg$ for a 1-form $\omega$ on $\mathbb{R}^2\setminus0$ with $d\omega=0$.

vector-fields stokes-theorem

asked Dec 23, 2020 at 6:22

2 votes

1 answer

82 views

Possible Error in the 1990 B1 Putnam Answer Key

integration contest-math

asked Mar 8, 2021 at 4:10

2 votes

0 answers

33 views

$\text{Res}_{z=0}\frac{z^a}{z^b}$ for $b\in\mathbb{N}$ and $a\in\mathbb{R}^{+} \setminus \mathbb{N}$

residue-calculus laurent-series

asked Jul 5, 2021 at 18:46

1 vote

3 answers

37 views

Map Two Polar Disks To Four Dimensional Spherical Coordinates ($\left(\mathbb{R}^2\right)^2\to\mathbb{R}^4$)

polar-coordinates change-of-variable

asked Mar 6, 2021 at 4:56

1 vote

0 answers

31 views

Bicomplex Numbers Representing 3d Rotations

rotations spherical-coordinates

asked Mar 7, 2021 at 17:50

1 vote

1 answer

50 views

Integrating $\int_{0}^{x} e^{ie^{\frac{s}{2}}}ds$

calculus integration heat-equation change-of-variable

asked Apr 12, 2021 at 18:21

1 vote

2 answers

28 views

Solving $v'(x) - ie^{x/2} v(x) = e^{2ie^{x/2}}$

ordinary-differential-equations complex-numbers complex-integration integrating-factor

asked Apr 13, 2021 at 0:08

1 vote

3 answers

48 views

Notation of $\mathbb{C} \to \mathbb{C}^{2 \times 2}$

matrices complex-numbers notation

asked Mar 28, 2021 at 21:04

1 vote

0 answers

31 views

Solve $\alpha \wedge \beta = \omega$ for $\beta$

complex-analysis differential-forms exterior-algebra

asked Jun 22, 2021 at 23:14

1 vote

2 answers

32 views

Product Rule for Time Varying Matrices $M(t) B(t)$

matrices derivatives

asked Jun 5, 2021 at 18:41

1 vote

0 answers

57 views

Evaluating a Contour Integral $\int_{z_0}^z$ using Residues

integration complex-analysis contour-integration residue-calculus

asked Jun 17, 2021 at 21:23

0 votes

0 answers

38 views

Self Study Solution Manuel for Complex Variables, An Introduction by Berenstein and Gay

soft-question self-learning

asked Jun 20, 2021 at 2:45

0 votes

0 answers

41 views

Integrating a Complex 2-form with Stokes Theorem

contour-integration differential-forms stokes-theorem

asked Jun 27, 2021 at 17:49

0 votes

0 answers

45 views

Fourier Transform of $f: \text{Rect} \subset \mathbb{C} \to \mathbb{C}$

complex-analysis fourier-analysis fourier-series

asked Apr 23, 2021 at 1:35

0 votes

1 answer

56 views

Cofactor-Trace Identity

linear-algebra determinant

asked Mar 26, 2021 at 5:15

0 votes

0 answers

13 views

First Variation of a Translation Invariant Functional

calculus-of-variations

asked Dec 26, 2021 at 7:20

0 votes

1 answer

22 views

Find $c_n$ s.t. $\sum_{n=1}^{N} \sum_{k=0}^{n} a_{n,k} x^{n+k}=\sum_{n=1}^{2N} c_n x^n$

summation

asked May 5 at 15:02

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21 Questions

Generalizing Contour Integration to Quaternions

Relationship of a Simplex to a Symplectic Manifold

Solving $X'(x)=X(x)M(x)$

Calculating $Df$ for $f(z)=\frac{z^3}{\overline{z}}$

Prove $\omega=\lambda d\theta + dg$ for a 1-form $\omega$ on $\mathbb{R}^2\setminus0$ with $d\omega=0$.

Possible Error in the 1990 B1 Putnam Answer Key

$\text{Res}_{z=0}\frac{z^a}{z^b}$ for $b\in\mathbb{N}$ and $a\in\mathbb{R}^{+} \setminus \mathbb{N}$

Map Two Polar Disks To Four Dimensional Spherical Coordinates ($\left(\mathbb{R}^2\right)^2\to\mathbb{R}^4$)

Bicomplex Numbers Representing 3d Rotations

Integrating $\int_{0}^{x} e^{ie^{\frac{s}{2}}}ds$

Solving $v'(x) - ie^{x/2} v(x) = e^{2ie^{x/2}}$

Notation of $\mathbb{C} \to \mathbb{C}^{2 \times 2}$

Solve $\alpha \wedge \beta = \omega$ for $\beta$

Product Rule for Time Varying Matrices $M(t) B(t)$

Evaluating a Contour Integral $\int_{z_0}^z$ using Residues

Self Study Solution Manuel for Complex Variables, An Introduction by Berenstein and Gay

Integrating a Complex 2-form with Stokes Theorem

Fourier Transform of $f: \text{Rect} \subset \mathbb{C} \to \mathbb{C}$

Cofactor-Trace Identity

First Variation of a Translation Invariant Functional

Find $c_n$ s.t. $\sum_{n=1}^{N} \sum_{k=0}^{n} a_{n,k} x^{n+k}=\sum_{n=1}^{2N} c_n x^n$