Question

Does squareroot of a complex number have two different outputs?

score 48 · Answer 1 · 2026-04-10 00:38:27

48

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Does squareroot of a complex number have two different outputs?

Published on 10 Apr 2026 - 0:38

score 273 · Answer 2 · 2026-04-17 14:30:21

273

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Principal argument of $z=\left(\left(\sqrt{3}+i)/(\sqrt{2}-i\right)\right)^{50}$

Published on 17 Apr 2026 - 14:30

score 542 · Answer 3 · 2026-04-15 20:34:49

542

Views

Proving that $w^n-z=0$, for non-zero complex $z$ and positive integer $n$, has exactly $n$ distinct complex roots

Published on 15 Apr 2026 - 20:34

score 514 · Answer 4 · 2026-04-14 05:19:12

514

Views

Argument and Principle Argument of complex number

Published on 14 Apr 2026 - 5:19

score 93 · Answer 5 · 2026-04-17 06:05:57

93

Views

Nice integral $\Im\Big(\int_{0}^{1}\ln\Big(\arctan\Big(\frac{x^2-x-1}{x^2+x+1}\Big)\Big)dx\Big)=\pi$

Published on 17 Apr 2026 - 6:05

score 69 · Answer 6 · 2026-04-10 01:56:51

69

Views

How do I find the harmonic conjugate of a composite of two functions

Published on 10 Apr 2026 - 1:56

score 1.3k · Answer 7 · 2026-05-11 08:36:51

1.3k

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Find complex roots of quartic function $(3z + 1)(4z + 1)(6z + 1)(12z + 1) = 2$

Published on 11 May 2026 - 8:36

score 1.3k · Answer 8 · 2026-04-14 20:05:06

1.3k

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Branch points of $\arccos (z)$

Published on 14 Apr 2026 - 20:05

score 1.1k · Answer 9 · 2026-04-11 17:59:42

1.1k

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Let $G$ be the group of non-zero complex numbers under multiplication and let $H=\{z \in\mathbb C :z^n=1\}$. Find the cosets of $H$ in $G$.

Published on 11 Apr 2026 - 17:59

score 152 · Answer 10 · 2026-04-09 23:08:29

152

Views

Laurent Series with negative terms

Published on 09 Apr 2026 - 23:08

score 38 · Answer 11 · 2026-04-14 05:48:47

38

Views

How can I find the square roots of the following complex number?

Published on 14 Apr 2026 - 5:48

score 54 · Answer 12 · 2026-04-11 12:30:38

54

Views

How to move a circle $e^{i \pi n}$ along the $\Re$ axis to form a sine wave?

Published on 11 Apr 2026 - 12:30

score 59 · Answer 13 · 2026-04-11 13:39:08

59

Views

Summation of the complex mumbers

Published on 11 Apr 2026 - 13:39

score 1.5k · Answer 14 · 2026-04-11 11:00:02

1.5k

Views

Solving $e^z = 1 $ in complex plane

Published on 11 Apr 2026 - 11:00

score 174 · Answer 15 · 2026-04-14 11:22:38

174

Views

Rotating a curve by a certain angle (rotating a parabola)

Published on 14 Apr 2026 - 11:22

List Question

Does squareroot of a complex number have two different outputs?

Principal argument of $z=\left(\left(\sqrt{3}+i)/(\sqrt{2}-i\right)\right)^{50}$

Proving that $w^n-z=0$, for non-zero complex $z$ and positive integer $n$, has exactly $n$ distinct complex roots

Argument and Principle Argument of complex number

Nice integral $\Im\Big(\int_{0}^{1}\ln\Big(\arctan\Big(\frac{x^2-x-1}{x^2+x+1}\Big)\Big)dx\Big)=\pi$

How do I find the harmonic conjugate of a composite of two functions

Find complex roots of quartic function $(3z + 1)(4z + 1)(6z + 1)(12z + 1) = 2$

Branch points of $\arccos (z)$

Let $G$ be the group of non-zero complex numbers under multiplication and let $H=\{z \in\mathbb C :z^n=1\}$. Find the cosets of $H$ in $G$.

Laurent Series with negative terms

How can I find the square roots of the following complex number?

How to move a circle $e^{i \pi n}$ along the $\Re$ axis to form a sine wave?

Summation of the complex mumbers

Solving $e^z = 1 $ in complex plane

Rotating a curve by a certain angle (rotating a parabola)

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