List questions from complex-numbers

Published on 08 Apr 2026 - 16:10

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if $f(z),\overline {f(z)}$ are analytic then they are constant

Published on 14 Apr 2026 - 14:25

2.4k

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In a complex vector space, $\langle Tx,x \rangle=0 \implies T = 0$

Published on 16 Apr 2026 - 7:34

14.2k

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Easy example why complex numbers are cool

Published on 11 Apr 2026 - 13:13

56

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Why from $e^{i\mu}-e^{-i\mu}=0$ we can conclude that $e^{2i\mu}=1$?

Published on 16 Apr 2026 - 11:21

3.3k

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Using the properties of real numbers, verify that complex numbers are associative and there exists an additive inverse

Published on 15 Apr 2026 - 14:01

103

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Show complex sequence is convergent

Published on 14 Apr 2026 - 15:02

305

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Is he using a theorem for real numbers, on a complex power series?

Published on 13 Apr 2026 - 6:29

86

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Alternative Solution to a complex numbers problem

Published on 12 Apr 2026 - 4:37

163

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How does $\dim \mathbb C$ work?

Published on 12 Apr 2026 - 2:23

290

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Is this derivation of $(5i+9)(5i−9) = -106$ correct?

Published on 15 Apr 2026 - 22:46

7.4k

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Modulus of exponential function with real and complex arguments

Published on 14 Apr 2026 - 5:53

150

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How to find the complex roots of $x^2-2ax+a^2+b^2$?

Published on 13 Apr 2026 - 7:47

32

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Showing that $f(z)$ is differentiable throughout a region

Published on 15 Apr 2026 - 2:22

906

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Find the region in the w-plane to which the line y = 1 is transformed by $\frac{1}{z}$

Published on 13 Apr 2026 - 17:26

List Question

Locus of complex number in complex plane

if $f(z),\overline {f(z)}$ are analytic then they are constant

In a complex vector space, $\langle Tx,x \rangle=0 \implies T = 0$

Easy example why complex numbers are cool

Why from $e^{i\mu}-e^{-i\mu}=0$ we can conclude that $e^{2i\mu}=1$?

Using the properties of real numbers, verify that complex numbers are associative and there exists an additive inverse

Show complex sequence is convergent

Is he using a theorem for real numbers, on a complex power series?

Alternative Solution to a complex numbers problem

How does $\dim \mathbb C$ work?

Is this derivation of $(5i+9)(5i−9) = -106$ correct?

Modulus of exponential function with real and complex arguments

How to find the complex roots of $x^2-2ax+a^2+b^2$?

Showing that $f(z)$ is differentiable throughout a region

Find the region in the w-plane to which the line y = 1 is transformed by $\frac{1}{z}$

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