List questions from complex-numbers

Published on 18 Feb 2018 - 13:09

45

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Distance between two points under the complex square root map?

Published on 18 Feb 2018 - 15:37

90

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Condition for Fourier transform to exist?

Published on 25 Mar 2026 - 2:58

919

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Partial fraction decomposition of $\frac{5z^4 + 3z^2 + 1}{2z^2 + 3z + 1}$

Published on 25 Mar 2026 - 15:28

776

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Complex Analytic Proof of Fundamental Theorem of Algebra

Published on 18 Feb 2018 - 21:07

116

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Locus equation and complex numbers

Published on 20 Mar 2026 - 14:16

668

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Contour Integral of Complex Power Function

Published on 25 Mar 2026 - 7:47

55

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Parametrisation of the boundary of the image of $f(z) = e^z$

Published on 19 Feb 2018 - 19:13

50

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Name of complex number construction?

Published on 19 Feb 2018 - 19:27

172

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Let $z = 5e^{2πi/3}$ . Find the smallest positive integer n such that $(zi)^n ∈ \mathbb{Q}$

Published on 19 Feb 2018 - 21:35

940

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$S = \{z ∈ C | z^6 = 1\}$. List the elements of S as complex numbers in polar form and in Cartesian form.

Published on 19 Feb 2018 - 22:38

147

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$w^k$ and $w^{n-k}$ are conjugate and inverse of each other

Published on 19 Feb 2018 - 23:24

265

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Square Contour Show that $|\sin(z)| \ge \sinh(\pi/2)$

Published on 25 Mar 2026 - 7:32

36

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Get values in complex numbers problem

Published on 20 Feb 2018 - 1:42

317

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If $n$ is a multiple of $8$, then the number of sets of size divisible by $4$ is $2^{n-2} + 2^{(n-2)/2}$

Published on 25 Mar 2026 - 7:53

List Question

How are these two sentences related?

Distance between two points under the complex square root map?

Condition for Fourier transform to exist?

Partial fraction decomposition of $\frac{5z^4 + 3z^2 + 1}{2z^2 + 3z + 1}$

Complex Analytic Proof of Fundamental Theorem of Algebra

Locus equation and complex numbers

Contour Integral of Complex Power Function

Parametrisation of the boundary of the image of $f(z) = e^z$

Name of complex number construction?

Let $z = 5e^{2πi/3}$ . Find the smallest positive integer n such that $(zi)^n ∈ \mathbb{Q}$

$S = \{z ∈ C | z^6 = 1\}$. List the elements of S as complex numbers in polar form and in Cartesian form.

$w^k$ and $w^{n-k}$ are conjugate and inverse of each other

Square Contour Show that $|\sin(z)| \ge \sinh(\pi/2)$

Get values in complex numbers problem

If $n$ is a multiple of $8$, then the number of sets of size divisible by $4$ is $2^{n-2} + 2^{(n-2)/2}$

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