List questions from complex-numbers

Published on 25 Mar 2026 - 3:41

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Square root argument of a complex number.

Published on 22 Feb 2018 - 16:15

84

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Variance of the sum of complex random variable

Published on 25 Mar 2026 - 9:24

66

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Find all $z$ s.t $|z|=1$ and $|z^2 + \overline{z}^2|=1$

Published on 22 Feb 2018 - 17:53

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Show $\sqrt[\sqrt{i}]{i}\approx 23$. (What are the other values?)

Published on 23 Feb 2018 - 0:58

111

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Why are complex numbers presented in a 2d panel (graph)?

Published on 23 Feb 2018 - 8:09

92

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Graphical interpretation of $f(z)=\sqrt{9-z^2}$ at purely imaginary numbers.

Published on 23 Feb 2018 - 12:24

2.1k

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Application of Complex Numbers (Electrical Engineering)

Published on 23 Feb 2018 - 12:42

121

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Convergence of $\sum_{n=1}^{\infty} \frac{{i}^{3^n}}{n}$

Published on 25 Mar 2026 - 16:03

425

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Simplifying $\left(\frac{1+\sin\theta + i \cos\theta}{1 + \sin\theta -i\cos \theta}\right)^n$

Published on 25 Mar 2026 - 18:08

374

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Realise the denominator and hence find $\theta$

Published on 24 Feb 2018 - 2:23

74

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Show that $\frac1x+\frac1y+\frac1z=0$

Published on 24 Feb 2018 - 2:44

111

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Plotting polynomials over the complex field

Published on 24 Feb 2018 - 4:02

55

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Find all the complex numbers $z$ such that $w=\frac{2z-1}{z-2}$ has argument $\frac{\pi}2$

Published on 25 Mar 2026 - 18:08

176

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Interpretation of complex number in 1d.

Published on 24 Feb 2018 - 14:02

List Question

Complex Numbers: Triangle and Centroid

Square root argument of a complex number.

Variance of the sum of complex random variable

Find all $z$ s.t $|z|=1$ and $|z^2 + \overline{z}^2|=1$

Show $\sqrt[\sqrt{i}]{i}\approx 23$. (What are the other values?)

Why are complex numbers presented in a 2d panel (graph)?

Graphical interpretation of $f(z)=\sqrt{9-z^2}$ at purely imaginary numbers.

Application of Complex Numbers (Electrical Engineering)

Convergence of $\sum_{n=1}^{\infty} \frac{{i}^{3^n}}{n}$

Simplifying $\left(\frac{1+\sin\theta + i \cos\theta}{1 + \sin\theta -i\cos \theta}\right)^n$

Realise the denominator and hence find $\theta$

Show that $\frac1x+\frac1y+\frac1z=0$

Plotting polynomials over the complex field

Find all the complex numbers $z$ such that $w=\frac{2z-1}{z-2}$ has argument $\frac{\pi}2$

Interpretation of complex number in 1d.

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