List questions from complex-numbers

Published on 10 Apr 2026 - 15:27

86

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Eigenvalues of the matrix representation of a complex number?

Published on 11 Apr 2026 - 19:11

308

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The set $S$ of complex numbers $z$ satisfying $|z| < 1$ or $| z − 3i | < 1$ is a domain. Is this statement true or false?

Published on 15 Apr 2026 - 14:15

175

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For $f(z)=2x^3+3iy^2$, $f'(x+ix^2)=?$

Published on 11 May 2026 - 7:51

26

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Calculate Fourier Transform

Published on 11 Apr 2026 - 23:20

175

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How can I construct a regular 19-gon using two angle trisections?

Published on 11 Apr 2026 - 13:46

134

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What's the correct way of defining the use of square root symbol?

Published on 15 Apr 2026 - 21:22

193

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Partial fractions of complex roots

Published on 11 Apr 2026 - 5:52

2.2k

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Branch cut of $\sqrt{z^2-1}$.

Published on 25 Mar 2026 - 9:49

28

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Is there an easy way to show these curves on the complex plane are the same?

Published on 12 Apr 2026 - 14:30

282

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Prove $\cos\frac{π}{9} \cos\frac{2π}{9} \cos\frac{4π}{9}=\frac{1}{8}$ with complex numbers (roots of unity)

Published on 15 Apr 2026 - 20:13

706

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If $z_1,\dotsc,z_n$ are the vertices of a regular $n$-gon, with $z_3 + z_n = Az_1 + \bar{A}z_2$, find $\lfloor |A| \rfloor$.

Published on 15 Apr 2026 - 18:57

47

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How to solve a quadratic that needs complex numbers?

Published on 08 Apr 2026 - 22:20

85

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Linear independence of complex basis of vectors.

Published on 14 Apr 2026 - 19:55

32

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Second-order ODE without use of complex numbers

Published on 14 Apr 2026 - 15:45

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how to process $\max(x,0)$ in optimization problems

Eigenvalues of the matrix representation of a complex number?

The set $S$ of complex numbers $z$ satisfying $|z| < 1$ or $| z − 3i | < 1$ is a domain. Is this statement true or false?

For $f(z)=2x^3+3iy^2$, $f'(x+ix^2)=?$

Calculate Fourier Transform

How can I construct a regular 19-gon using two angle trisections?

What's the correct way of defining the use of square root symbol?

Partial fractions of complex roots

Branch cut of $\sqrt{z^2-1}$.

Is there an easy way to show these curves on the complex plane are the same?

Prove $\cos\frac{π}{9} \cos\frac{2π}{9} \cos\frac{4π}{9}=\frac{1}{8}$ with complex numbers (roots of unity)

If $z_1,\dotsc,z_n$ are the vertices of a regular $n$-gon, with $z_3 + z_n = Az_1 + \bar{A}z_2$, find $\lfloor |A| \rfloor$.

How to solve a quadratic that needs complex numbers?

Linear independence of complex basis of vectors.

Second-order ODE without use of complex numbers

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