Question

Is there such thing as an imaginary (imaginary number)?

score 452 · Answer 1 · 2026-04-13 17:31:05

452

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Is there such thing as an imaginary (imaginary number)?

Published on 13 Apr 2026 - 17:31

score 443 · Answer 2 · 2026-04-09 22:59:38

443

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Complex Analysis: Cauchy Integral Formula

Published on 09 Apr 2026 - 22:59

score 213 · Answer 3 · 2026-04-17 05:39:23

213

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Solve: $(\cos x+i\sin x)(\cos 2x+i\sin 2x)(\cos 5x+i\sin 5x)={i+1\over \sqrt 2 }$

Published on 17 Apr 2026 - 5:39

score 678 · Answer 4 · 2026-04-15 03:09:44

678

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Solve $z^4+16=0$ where $z$ is a complex number

Published on 15 Apr 2026 - 3:09

score 2k · Answer 5 · 2026-04-11 02:09:38

2k

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Complex Analysis: Isolated Singularities, Poles, and Residues

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score 2.3k · Answer 6 · 2026-04-11 09:52:30

2.3k

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Complex Analysis: Liouville's Theorem

Published on 11 Apr 2026 - 9:52

score 1.1k · Answer 7 · 2026-04-09 21:05:54

1.1k

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Is $f$ constant if $e^f$ is constant?

Published on 09 Apr 2026 - 21:05

score 477 · Answer 8 · 2026-04-11 02:23:03

477

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What does $\theta = \text{arg}(a,b)$ mean?

Published on 11 Apr 2026 - 2:23

score 109 · Answer 9 · 2026-04-15 23:26:38

109

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Prove that $\bar{P}_{\bar{z}}=P_z,\ (P_z,P_z)=(P_{\bar{z}},P_{\bar{z}})$ with $P_z=\dfrac{\partial{P}}{\partial{z}}$

Published on 15 Apr 2026 - 23:26

score 163 · Answer 10 · 2026-04-08 23:59:30

163

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Finding roots of complex quadratic equation

Published on 08 Apr 2026 - 23:59

score 310 · Answer 11 · 2026-04-13 18:12:42

310

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True or False: $i^2 = -1$, $\mathbb{C} = \mathbb{R}^2$

Published on 13 Apr 2026 - 18:12

score 6.1k · Answer 12 · 2026-04-14 06:54:22

Consider a quadratic equation $az^2+bz+c=0$ where a,b,c are complex numbers. Prove that the equation has one purely imaginary root is given ...

score 97 · Answer 13 · 2026-04-13 16:12:37

97

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Complex Number and Geometry

Published on 13 Apr 2026 - 16:12

score 136 · Answer 14 · 2026-04-15 08:56:05

136

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locus of complex $z=(λ+3) + i\sqrt{3-λ^2}$

Published on 15 Apr 2026 - 8:56

score 136 · Answer 15 · 2026-04-13 17:48:40

136

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Cyclic sum inequality involving five numbers with modulus one and zero sum

Published on 13 Apr 2026 - 17:48

List Question

Is there such thing as an imaginary (imaginary number)?

Complex Analysis: Cauchy Integral Formula

Solve: $(\cos x+i\sin x)(\cos 2x+i\sin 2x)(\cos 5x+i\sin 5x)={i+1\over \sqrt 2 }$

Solve $z^4+16=0$ where $z$ is a complex number

Complex Analysis: Isolated Singularities, Poles, and Residues

Complex Analysis: Liouville's Theorem

Is $f$ constant if $e^f$ is constant?

What does $\theta = \text{arg}(a,b)$ mean?

Prove that $\bar{P}_{\bar{z}}=P_z,\ (P_z,P_z)=(P_{\bar{z}},P_{\bar{z}})$ with $P_z=\dfrac{\partial{P}}{\partial{z}}$

Finding roots of complex quadratic equation

True or False: $i^2 = -1$, $\mathbb{C} = \mathbb{R}^2$

Consider a quadratic equation $az^2+bz+c=0$ where a,b,c are complex numbers. Prove that the equation has one purely imaginary root is given ...

Complex Number and Geometry

locus of complex $z=(λ+3) + i\sqrt{3-λ^2}$

Cyclic sum inequality involving five numbers with modulus one and zero sum

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