Question

How to graph equations with complex coefficients?

score 217 · Answer 1 · 2026-03-27 05:34:56

217

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How to graph equations with complex coefficients?

Published on 27 Mar 2026 - 5:34

score 1.2k · Answer 2 · 2026-05-11 05:00:00

1.2k

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Muller's method's initial approximations for non-real roots

Published on 11 May 2026 - 5:00

score 86 · Answer 3 · 2026-04-14 16:14:11

86

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Complex number inequality $|z-1| \ge \frac{2}{n-1}$

Published on 14 Apr 2026 - 16:14

score 176 · Answer 4 · 2026-04-15 18:05:52

176

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If $|z_1+z_2+z_3|=|z_2+z_3|=|z_1|$ find $\frac{z_1}{z_2+z_3}$

Published on 15 Apr 2026 - 18:05

score 30 · Answer 5 · 2026-04-17 05:34:17

30

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Show that $1+\cos\theta+\cos(2\theta)+\dots+\cos(n\theta)=\frac{1}{2}+\frac{\sin((n+\frac{1}{2})\theta)}{2\sin(\theta\mathbin{/}2)}$

Published on 17 Apr 2026 - 5:34

score 520 · Answer 6 · 2026-04-15 20:47:31

520

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Show $\frac{\cos(n\theta)-\cos((n+1)\theta)}{2-2\cos(\theta)}=\frac{\sin((n+\frac{1}{2})\theta)}{2\sin(\theta/2)}$

Published on 15 Apr 2026 - 20:47

score 257 · Answer 7 · 2026-04-09 22:53:29

257

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Rotation multiplying by $i$ in complex numbers

Published on 09 Apr 2026 - 22:53

score 66 · Answer 8 · 2026-04-14 16:13:57

66

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Find $z \in \mathbb{C}$ such that |$z+3i| = 3|z|$

Published on 14 Apr 2026 - 16:13

score 3.3k · Answer 9 · 2026-04-14 01:56:17

3.3k

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Describe the set of points $z$ in the complex plane that satisfies the following equation.

Published on 14 Apr 2026 - 1:56

score 654 · Answer 10 · 2026-04-13 11:36:45

654

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Analyticity implies continuity of first derivative

Published on 13 Apr 2026 - 11:36

score 46 · Answer 11 · 2026-04-16 11:10:04

46

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What can be said about $\lim_{n\to\infty}\frac{\alpha z^{n+1}+\overline{\alpha}\overline{z}^{n+1}}{\alpha z^n+\overline{\alpha}\overline{z}^n}$?

Published on 16 Apr 2026 - 11:10

score 76 · Answer 12 · 2026-04-16 15:13:13

76

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Complex number inequality $n^2-(\Re(z^2+z^4+...+z^{2n}))^2\geq (\Im(1+z^2+...+z^{2n}))^2$

Published on 16 Apr 2026 - 15:13

score 51 · Answer 13 · 2026-04-13 00:37:34

51

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What can be said about this limit?

Published on 13 Apr 2026 - 0:37

score 62 · Answer 14 · 2026-04-13 03:59:16

62

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Other 2D extensions of the reals

Published on 13 Apr 2026 - 3:59

score 154 · Answer 15 · 2026-04-08 19:50:28

154

Views

What is $e^{\scriptscriptstyle i^{e^{i^{.^{.^{.}}}}}}$?

Published on 08 Apr 2026 - 19:50

List Question

How to graph equations with complex coefficients?

Muller's method's initial approximations for non-real roots

Complex number inequality $|z-1| \ge \frac{2}{n-1}$

If $|z_1+z_2+z_3|=|z_2+z_3|=|z_1|$ find $\frac{z_1}{z_2+z_3}$

Show that $1+\cos\theta+\cos(2\theta)+\dots+\cos(n\theta)=\frac{1}{2}+\frac{\sin((n+\frac{1}{2})\theta)}{2\sin(\theta\mathbin{/}2)}$

Show $\frac{\cos(n\theta)-\cos((n+1)\theta)}{2-2\cos(\theta)}=\frac{\sin((n+\frac{1}{2})\theta)}{2\sin(\theta/2)}$

Rotation multiplying by $i$ in complex numbers

Find $z \in \mathbb{C}$ such that |$z+3i| = 3|z|$

Describe the set of points $z$ in the complex plane that satisfies the following equation.

Analyticity implies continuity of first derivative

What can be said about $\lim_{n\to\infty}\frac{\alpha z^{n+1}+\overline{\alpha}\overline{z}^{n+1}}{\alpha z^n+\overline{\alpha}\overline{z}^n}$?

Complex number inequality $n^2-(\Re(z^2+z^4+...+z^{2n}))^2\geq (\Im(1+z^2+...+z^{2n}))^2$

What can be said about this limit?

Other 2D extensions of the reals

What is $e^{\scriptscriptstyle i^{e^{i^{.^{.^{.}}}}}}$?

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