Question

Complex Lie group $\mathbb{C}^* $

score 102 · Answer 1 · 2026-03-26 20:43:31

102

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Complex Lie group $\mathbb{C}^* $

Published on 26 Mar 2026 - 20:43

score 191 · Answer 2 · 2018-06-19 23:28:56

191

Views

I have a function defined on integer-radian inputs from the unit circle in the complex plane. Is it discontinuous?

Published on 19 Jun 2018 - 23:28

score 440 · Answer 3 · 2026-03-26 11:18:04

440

Views

necessary and sufficient condition for magnitude of roots of a quadratic equation less than 1 with complex coefficient

Published on 26 Mar 2026 - 11:18

score 41 · Answer 4 · 2018-06-20 06:08:51

41

Views

Expressing a sequence using roots of unity

Published on 20 Jun 2018 - 6:08

score 40 · Answer 5 · 2018-06-20 17:10:18

40

Views

Put $f(z)=\cos({\frac{1}{z-1}})$ as a complex series around $0$. Find the convergence radius.

Published on 20 Jun 2018 - 17:10

score 66 · Answer 6 · 2018-06-21 03:16:33

66

Views

Show that $ f(\theta) = | \sum_{k=0}^n b_k e^{ik \theta} | ^2$ when $ f(\theta) = \sum_{k=0}^n a_k \cos(k \theta) \geq 0$

Published on 21 Jun 2018 - 3:16

score 20 · Answer 7 · 2026-03-26 13:51:31

20

Views

What would be another way to express $b=Y_n(ia)$?

Published on 26 Mar 2026 - 13:51

score 48 · Answer 8 · 2018-06-21 07:39:09

48

Views

$\rho=\sqrt{\frac{R+j \omega L}{G+j \omega C}}$, find the condition to have $Re\{\rho\}\ge0$ and $Im\{\rho\}\ge0$

Published on 21 Jun 2018 - 7:39

score 261 · Answer 9 · 2026-03-26 14:29:31

261

Views

Proof that unit complex numbers 1, z and w form an equilateral triangle

Published on 26 Mar 2026 - 14:29

score 217 · Answer 10 · 2018-06-21 11:01:35

217

Views

Proving that $\sin n\theta\leq n\sin\theta$.

Published on 21 Jun 2018 - 11:01

score 77 · Answer 11 · 2018-06-21 21:56:23

77

Views

Area of a circle by integration

Published on 21 Jun 2018 - 21:56

score 2.2k · Answer 12 · 2018-06-22 06:27:11

2.2k

Views

Complex Arcsin possible definition

Published on 22 Jun 2018 - 6:27

score 312 · Answer 13 · 2018-06-22 10:28:14

Prove/disprove: $v\in V$ is an eigenvector of $T$ with an eigenvalue $\lambda\iff v$ is an eigenvector of $T^*$ with eigenvalue $\overline \lambda$.

score 200 · Answer 14 · 2026-03-25 14:00:35

200

Views

Find all possible Jordan forms

Published on 25 Mar 2026 - 14:00

score 509 · Answer 15 · 2026-03-25 15:51:33

509

Views

what is the value of i factorial using the complex number system?

Published on 25 Mar 2026 - 15:51

List Question

Complex Lie group $\mathbb{C}^* $

I have a function defined on integer-radian inputs from the unit circle in the complex plane. Is it discontinuous?

necessary and sufficient condition for magnitude of roots of a quadratic equation less than 1 with complex coefficient

Expressing a sequence using roots of unity

Put $f(z)=\cos({\frac{1}{z-1}})$ as a complex series around $0$. Find the convergence radius.

Show that $ f(\theta) = | \sum_{k=0}^n b_k e^{ik \theta} | ^2$ when $ f(\theta) = \sum_{k=0}^n a_k \cos(k \theta) \geq 0$

What would be another way to express $b=Y_n(ia)$?

$\rho=\sqrt{\frac{R+j \omega L}{G+j \omega C}}$, find the condition to have $Re\{\rho\}\ge0$ and $Im\{\rho\}\ge0$

Proof that unit complex numbers 1, z and w form an equilateral triangle

Proving that $\sin n\theta\leq n\sin\theta$.

Area of a circle by integration

Complex Arcsin possible definition

Prove/disprove: $v\in V$ is an eigenvector of $T$ with an eigenvalue $\lambda\iff v$ is an eigenvector of $T^*$ with eigenvalue $\overline \lambda$.

Find all possible Jordan forms

what is the value of i factorial using the complex number system?

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