List questions from complex-numbers

Published on 16 Apr 2026 - 19:12

42

Views

Finding $\{z\in \mathbb{C}\mid|1 + i z|^2<1,\,\mathrm{Im}(z-i)>0\}$

Published on 16 Apr 2026 - 1:30

46

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Complex Variables Inequality

Published on 09 Apr 2026 - 10:38

153

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Find the argument of complex number

Published on 14 Apr 2026 - 4:40

503

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Reason for Graphing Complex Numbers

Published on 05 May 2026 - 4:41

682

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Pure imaginary numbers : $ ( j^{2n} - j^n ) \in i\Bbb R $?

Published on 16 Apr 2026 - 7:49

484

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Question on complex numbers and cube root of unity

Published on 09 Apr 2026 - 2:13

44

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Let $z = a + b*i$ where we assume a and b are real numbers. Prove $e^{-z} = \frac{1}{e^{z}}$

Published on 15 Apr 2026 - 23:50

138

Views

Question about the roots of a complex polynomial

Published on 29 Apr 2026 - 12:16

171

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Radical problem: $\sqrt[6]{-1}=\sqrt{\sqrt[3]{-1}}=\sqrt {-1}=i$

Published on 10 May 2026 - 11:20

104

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Prove that $\frac{x^{i+1}}{-2+2i}-\frac{x^{-i+1}}{2+2i}=\frac{x\sin(\ln(x))-x\cos(\ln(x))}{2}$

Published on 17 Apr 2026 - 6:16

1.6k

Views

Looking for fully evaluated solution to: $\sin(z) = 3$

Published on 12 Apr 2026 - 20:28

52

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Finding argument of a bulky complex number

Published on 11 Apr 2026 - 17:49

120

Views

Complex Numbers $- \arg(-z)$

Published on 30 Apr 2026 - 13:35

2.5k

Views

How to prove or disprove surjectivity of a complex function?

Published on 10 Apr 2026 - 12:05

List Question

Sketch the complex set

Finding $\{z\in \mathbb{C}\mid|1 + i z|^2<1,\,\mathrm{Im}(z-i)>0\}$

Complex Variables Inequality

Find the argument of complex number

Reason for Graphing Complex Numbers

Pure imaginary numbers : $ ( j^{2n} - j^n ) \in i\Bbb R $?

Question on complex numbers and cube root of unity

Let $z = a + b*i$ where we assume a and b are real numbers. Prove $e^{-z} = \frac{1}{e^{z}}$

Question about the roots of a complex polynomial

Radical problem: $\sqrt[6]{-1}=\sqrt{\sqrt[3]{-1}}=\sqrt {-1}=i$

Prove that $\frac{x^{i+1}}{-2+2i}-\frac{x^{-i+1}}{2+2i}=\frac{x\sin(\ln(x))-x\cos(\ln(x))}{2}$

Looking for fully evaluated solution to: $\sin(z) = 3$

Finding argument of a bulky complex number

Complex Numbers $- \arg(-z)$

How to prove or disprove surjectivity of a complex function?

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