Question

How can I show the following trigonometric function

score 116 · Answer 1 · 2026-03-25 17:38:32

116

Views

How can I show the following trigonometric function

Published on 25 Mar 2026 - 17:38

score 670 · Answer 2 · 2018-03-23 01:15:07

670

Views

Prove that $\arcsin(z)=\frac{\pi}{2}+i\log(z+i\sqrt{1-z^2})$

Published on 23 Mar 2018 - 1:15

score 36 · Answer 3 · 2018-03-23 02:42:04

Describe all points in the complex plane that verify these inequalities: $| z + 3 i | \geq 3 | z − i |$ & $| z - 3/2 i | \geq 1$

score 157 · Answer 4 · 2026-03-25 23:53:13

157

Views

Possible to equate components of complex number to zero?

Published on 25 Mar 2026 - 23:53

score 1.1k · Answer 5 · 2026-03-25 13:56:23

1.1k

Views

Let C be the unit square with diagonal corners at $−1 − i$ and $1 + i$. Evaluate $\oint_C\frac{1}{2z+1}\mathrm{d}z$

Published on 25 Mar 2026 - 13:56

score 1.2k · Answer 6 · 2026-03-25 09:31:49

1.2k

Views

45 and 90-degree Phase shift

Published on 25 Mar 2026 - 9:31

score 349 · Answer 7 · 2026-03-26 08:04:25

349

Views

The Density Matrix $\rho$ and the Von Neumann Entropy

Published on 26 Mar 2026 - 8:04

score 134 · Answer 8 · 2026-03-25 17:02:37

134

Views

Optimal bound on a problem similar to Schwarz lemma

Published on 25 Mar 2026 - 17:02

score 435 · Answer 9 · 2018-03-23 13:57:27

435

Views

Complex numbers $\left(\frac{1+i}{1-i}\right)^k = 1$ what is $k$?

Published on 23 Mar 2018 - 13:57

score 344 · Answer 10 · 2018-03-23 14:36:30

344

Views

Prove that the principal logarithm ($Log$) is a bijection between $\mathbb{C}-[0,\infty)$ and $\Omega=\{z \in \mathbb{C} | -\pi < Im(z) <\pi\}$

Published on 23 Mar 2018 - 14:36

score 119 · Answer 11 · 2018-03-23 14:57:22

119

Views

smooth ( complex valued) functions "divisible" by $\mathbb{z}^{2}$

Published on 23 Mar 2018 - 14:57

score 389 · Answer 12 · 2026-03-24 22:01:20

389

Views

Symmetries of Mandelbrot sets with integer exponents

Published on 24 Mar 2026 - 22:01

score 73 · Answer 13 · 2018-03-23 20:40:22

73

Views

how to calculate the angle(s) of $\ -\sqrt{2i}$

Published on 23 Mar 2018 - 20:40

score 89 · Answer 14 · 2026-03-25 06:29:18

89

Views

How can you use mathematical notation of a logarithm to distinguish between the possible results?

Published on 25 Mar 2026 - 6:29

score 613 · Answer 15 · 2018-03-23 22:46:37

613

Views

How to prove $\log(\exp(z))\neq z$ if $z\in \mathbb{C}$

Published on 23 Mar 2018 - 22:46

List Question

How can I show the following trigonometric function

Prove that $\arcsin(z)=\frac{\pi}{2}+i\log(z+i\sqrt{1-z^2})$

Describe all points in the complex plane that verify these inequalities: $| z + 3 i | \geq 3 | z − i |$ & $| z - 3/2 i | \geq 1$

Possible to equate components of complex number to zero?

Let C be the unit square with diagonal corners at $−1 − i$ and $1 + i$. Evaluate $\oint_C\frac{1}{2z+1}\mathrm{d}z$

45 and 90-degree Phase shift

The Density Matrix $\rho$ and the Von Neumann Entropy

Optimal bound on a problem similar to Schwarz lemma

Complex numbers $\left(\frac{1+i}{1-i}\right)^k = 1$ what is $k$?

Prove that the principal logarithm ($Log$) is a bijection between $\mathbb{C}-[0,\infty)$ and $\Omega=\{z \in \mathbb{C} | -\pi < Im(z) <\pi\}$

smooth ( complex valued) functions "divisible" by $\mathbb{z}^{2}$

Symmetries of Mandelbrot sets with integer exponents

how to calculate the angle(s) of $\ -\sqrt{2i}$

How can you use mathematical notation of a logarithm to distinguish between the possible results?

How to prove $\log(\exp(z))\neq z$ if $z\in \mathbb{C}$

Trending Questions

Popular # Hahtags

Popular Questions