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Divergence in the Complex Plane

score 849 · Answer 1 · 2026-03-25 01:14:05

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Divergence in the Complex Plane

Published on 25 Mar 2026 - 1:14

score 313 · Answer 2 · 2018-01-21 18:29:27

313

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Finding maximum value of $\arg(z_{1})-\arg(z_{2})$

Published on 21 Jan 2018 - 18:29

score 346 · Answer 3 · 2026-03-25 06:07:09

346

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computing $A_2=\sum_{k=1}^{n}\frac{1}{(z_k-1)^2} $ and $\sum_{k=1}^n \cot^2\left( \frac{k\pi}{n+1}\right)$

Published on 25 Mar 2026 - 6:07

score 82 · Answer 4 · 2018-01-22 09:10:23

82

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How to proceed in this Complex Numbers and Polynomials question?

Published on 22 Jan 2018 - 9:10

score 56 · Answer 5 · 2018-01-22 10:28:19

56

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How to proceed on this Complex Numbers question?

Published on 22 Jan 2018 - 10:28

score 124 · Answer 6 · 2018-01-22 23:28:29

124

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Combining strictly positive numbers to complex powers?

Published on 22 Jan 2018 - 23:28

score 73 · Answer 7 · 2018-01-23 14:48:12

73

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Solve $\lvert z \lvert = z^4, z \in \mathbb{C}$

Published on 23 Jan 2018 - 14:48

score 1.9k · Answer 8 · 2018-01-23 15:23:48

1.9k

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Proving $ \sin4\theta = 4\cos^3\theta \sin\theta - 4\cos\theta \sin^3 \theta$

Published on 23 Jan 2018 - 15:23

score 3k · Answer 9 · 2026-03-17 12:16:34

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The complex equation $x^3 = 9 + 46i$ has a solution of the form $a + bi$ where $a,b\in \mathbb Z$. Find the value of $a^3 + b^3$

Published on 17 Mar 2026 - 12:16

score 113 · Answer 10 · 2026-03-25 01:19:50

113

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When are $\left(\frac{a}{b}\right)^c$ and $\frac{a^c}{b^c}$ equivalent?

Published on 25 Mar 2026 - 1:19

score 84 · Answer 11 · 2026-03-22 19:06:07

84

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Complex $\log$ manipulation rules

Published on 22 Mar 2026 - 19:06

score 372 · Answer 12 · 2026-03-25 03:03:18

372

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limit $\lim_{n\to \infty} n\left[1-\cos\left(\frac{\theta}{n}\right) -i\sin\left(\frac{\theta}{n}\right)\right]$

Published on 25 Mar 2026 - 3:03

score 5.4k · Answer 13 · 2018-01-24 00:39:55

5.4k

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Proving complex series $1 + \cos\theta + \cos2\theta +... + \cos n\theta $

Published on 24 Jan 2018 - 0:39

score 25 · Answer 14 · 2018-01-24 01:56:38

25

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Finding the solution to these equation

Published on 24 Jan 2018 - 1:56

score 931 · Answer 15 · 2018-01-24 02:20:16

931

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How many different complex numbers $z$ satisfying equation $z^4 = 1$ are there?

Published on 24 Jan 2018 - 2:20

List Question

Divergence in the Complex Plane

Finding maximum value of $\arg(z_{1})-\arg(z_{2})$

computing $A_2=\sum_{k=1}^{n}\frac{1}{(z_k-1)^2} $ and $\sum_{k=1}^n \cot^2\left( \frac{k\pi}{n+1}\right)$

How to proceed in this Complex Numbers and Polynomials question?

How to proceed on this Complex Numbers question?

Combining strictly positive numbers to complex powers?

Solve $\lvert z \lvert = z^4, z \in \mathbb{C}$

Proving $ \sin4\theta = 4\cos^3\theta \sin\theta - 4\cos\theta \sin^3 \theta$

The complex equation $x^3 = 9 + 46i$ has a solution of the form $a + bi$ where $a,b\in \mathbb Z$. Find the value of $a^3 + b^3$

When are $\left(\frac{a}{b}\right)^c$ and $\frac{a^c}{b^c}$ equivalent?

Complex $\log$ manipulation rules

limit $\lim_{n\to \infty} n\left[1-\cos\left(\frac{\theta}{n}\right) -i\sin\left(\frac{\theta}{n}\right)\right]$

Proving complex series $1 + \cos\theta + \cos2\theta +... + \cos n\theta $

Finding the solution to these equation

How many different complex numbers $z$ satisfying equation $z^4 = 1$ are there?

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