List questions from complex-numbers

Published on 26 Sep 2019 - 16:37

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How to prove it: $(-1)^{i\pi}$ is irrational?

Published on 10 Apr 2026 - 19:49

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Factorizing $x^5+1$ as a product of linear and quadratic polynomials.

Published on 26 Sep 2019 - 20:32

44

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Sum of complex number

Published on 11 Apr 2026 - 12:34

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Determine all roots of $i^{1/4}$

Published on 26 Sep 2019 - 22:05

624

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Imaginary Base of log Function

Published on 01 Apr 2026 - 15:49

42

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Number theory: identity of complex numbers

Published on 12 Apr 2026 - 11:25

41

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Why is $\Im((2 - i) z - 5 i)=2 \Im(z) - \Re(z) - 5$?

Published on 27 Sep 2019 - 14:27

35

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How to solve ${\rm Ln}({\rm cosecant}(z)) = {\rm Ln}(2) + iz$?

Published on 27 Sep 2019 - 15:03

73

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Cauchy-Riemann equations - a doubt about the proof on MathWorld

Published on 25 Mar 2026 - 16:00

49

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How to solve these complex equations?

Published on 11 Apr 2026 - 11:47

62

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common roots of polynomials in Galois fields and the complex numbers

Published on 12 Apr 2026 - 5:02

179

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Prove that there exists no such total order

Published on 25 Mar 2026 - 10:52

350

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Proof that $\Re\left[\frac{w+z}{w-z}\right]=\frac{|w|^2-|z|^2}{|w-z|^2}$

Published on 28 Sep 2019 - 3:45

57

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$f(t) = a\cos(t) + i\sin(nt).$ Determine $a$ and $n$ through a graph.

Published on 28 Sep 2019 - 10:51

List Question

If $A,B$ are Hermitian and $[ A, B ] = iC$, how to prove that $C$ is also Hermitian?

How to prove it: $(-1)^{i\pi}$ is irrational?

Factorizing $x^5+1$ as a product of linear and quadratic polynomials.

Sum of complex number

Determine all roots of $i^{1/4}$

Imaginary Base of log Function

Number theory: identity of complex numbers

Why is $\Im((2 - i) z - 5 i)=2 \Im(z) - \Re(z) - 5$?

How to solve ${\rm Ln}({\rm cosecant}(z)) = {\rm Ln}(2) + iz$?

Cauchy-Riemann equations - a doubt about the proof on MathWorld

How to solve these complex equations?

common roots of polynomials in Galois fields and the complex numbers

Prove that there exists no such total order

Proof that $\Re\left[\frac{w+z}{w-z}\right]=\frac{|w|^2-|z|^2}{|w-z|^2}$

$f(t) = a\cos(t) + i\sin(nt).$ Determine $a$ and $n$ through a graph.

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