List questions from complex-numbers

Published on 11 Apr 2026 - 10:11

72

Views

$D_1(0)=\{z\in \mathbb{C} \mid |z|< 1\}$ is not compact

Published on 14 Apr 2026 - 1:52

899

Views

Calculating the argument of a complex number... something tends towards infinity?

Published on 13 Apr 2026 - 1:14

1.5k

Views

Finding which base number given operations

Published on 14 Apr 2026 - 8:01

528

Views

Variance of amplitude and phase from sin and cos regressors in polar coordinates

Published on 15 Apr 2026 - 7:08

70

Views

Evaluating $|a^b|$ when $a,b$ are complex

Published on 13 Apr 2026 - 20:53

3.8k

Views

Cross Ratio is positive real if four points on a circle

Published on 13 Apr 2026 - 17:48

109

Views

Given $w=e^{2i\pi/7}$, perform algebraic manipulations with complex numbers like $w+w^2+w^4$

Published on 17 Apr 2026 - 14:52

81

Views

Every compact set $S\in \mathbb{C}$ is bounded

Published on 10 Apr 2026 - 16:16

182

Views

About the identity $e^{i\pi}=-1$

Published on 09 Apr 2026 - 6:22

11.6k

Views

Proof of $\cos \theta+\cos 2\theta+\cos 3\theta+\cdots+\cos n\theta=\frac{\sin\frac12n\theta}{\sin\frac12\theta}\cos\frac12(n+1)\theta$

Published on 21 Apr 2026 - 4:28

908

Views

Roots of a quintic function

Published on 13 Apr 2026 - 7:28

12.5k

Views

Straight Line Equation in Complex Plane

Published on 12 Apr 2026 - 4:12

302

Views

Question on the Closure Properties of $\mathbb C$

Published on 16 Apr 2026 - 20:04

139

Views

When is $x^{2^n}$ dense in $\mathbb{S}^1$, for $|x|=1$?

Published on 16 Apr 2026 - 4:56

List Question

Complex trigonometric equation

$D_1(0)=\{z\in \mathbb{C} \mid |z|< 1\}$ is not compact

Calculating the argument of a complex number... something tends towards infinity?

Finding which base number given operations

Variance of amplitude and phase from sin and cos regressors in polar coordinates

Evaluating $|a^b|$ when $a,b$ are complex

Cross Ratio is positive real if four points on a circle

Given $w=e^{2i\pi/7}$, perform algebraic manipulations with complex numbers like $w+w^2+w^4$

Every compact set $S\in \mathbb{C}$ is bounded

About the identity $e^{i\pi}=-1$

Proof of $\cos \theta+\cos 2\theta+\cos 3\theta+\cdots+\cos n\theta=\frac{\sin\frac12n\theta}{\sin\frac12\theta}\cos\frac12(n+1)\theta$

Roots of a quintic function

Straight Line Equation in Complex Plane

Question on the Closure Properties of $\mathbb C$

When is $x^{2^n}$ dense in $\mathbb{S}^1$, for $|x|=1$?

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