Question

Calculate $\int_{1}^{-1} |z-1|^2 dz$ along the upper half of the circle $|z|=1$

score 314 · Answer 1 · 2018-06-03 08:29:05

314

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Calculate $\int_{1}^{-1} |z-1|^2 dz$ along the upper half of the circle $|z|=1$

Published on 03 Jun 2018 - 8:29

score 705 · Answer 2 · 2018-06-03 09:42:18

705

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Complex solutions of a quintic equation: $z^5+4\overline z^3=0$

Published on 03 Jun 2018 - 9:42

score 143 · Answer 3 · 2018-06-03 18:12:08

143

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Mobius Transformation 3 conditions

Published on 03 Jun 2018 - 18:12

score 1.2k · Answer 4 · 2018-06-04 06:20:08

1.2k

Views

If a number is an $n$-th root of unity, why is its conjugate also an $n$-th root of unity?

Published on 04 Jun 2018 - 6:20

score 110 · Answer 5 · 2018-06-04 07:09:41

110

Views

If $z_1,z_2$ are two complex numbers such that $\vert z_1+z_2\vert=\vert z_1\vert+\vert z_2\vert$,then What is necessary condition?

Published on 04 Jun 2018 - 7:09

score 65 · Answer 6 · 2018-06-04 07:29:10

65

Views

What are the points of differentiability of $f(z)=\vert z \vert^2+\iota \bar z +1$?

Published on 04 Jun 2018 - 7:29

score 2.3k · Answer 7 · 2018-06-04 09:22:51

2.3k

Views

Why is $ w^{2n} + w^n + 1 = 0 $?

Published on 04 Jun 2018 - 9:22

score 123 · Answer 8 · 2026-03-25 18:55:40

123

Views

Why is $z=\sqrt{2i}$ equal to $z=1+i$?

Published on 25 Mar 2026 - 18:55

score 116 · Answer 9 · 2018-06-04 12:43:31

116

Views

how to solve $(z-i)^{m}=(z+i)^{m}$

Published on 04 Jun 2018 - 12:43

score 131 · Answer 10 · 2026-03-26 11:25:54

131

Views

Is $0^i$ indeterminate?

Published on 26 Mar 2026 - 11:25

score 110 · Answer 11 · 2018-06-04 15:55:24

110

Views

What is the value of ∑k=16(sin2πk/7−icos2πk/7)=?

Published on 04 Jun 2018 - 15:55

score 99 · Answer 12 · 2026-03-25 14:34:38

99

Views

Interval of convergence of trig. series involving complex numbers

Published on 25 Mar 2026 - 14:34

score 111 · Answer 13 · 2018-06-05 07:16:28

111

Views

Finding equation with roots $\cos(2k+1)\pi/9$ and using Vieta's formula's

Published on 05 Jun 2018 - 7:16

score 56 · Answer 14 · 2026-03-29 13:39:19

56

Views

"Multiplication" of Complex Numbers

Published on 29 Mar 2026 - 13:39

score 41 · Answer 15 · 2018-06-05 17:15:01

41

Views

Solving $f(x)=a,a \in A$?

Published on 05 Jun 2018 - 17:15

List Question

Calculate $\int_{1}^{-1} |z-1|^2 dz$ along the upper half of the circle $|z|=1$

Complex solutions of a quintic equation: $z^5+4\overline z^3=0$

Mobius Transformation 3 conditions

If a number is an $n$-th root of unity, why is its conjugate also an $n$-th root of unity?

If $z_1,z_2$ are two complex numbers such that $\vert z_1+z_2\vert=\vert z_1\vert+\vert z_2\vert$,then What is necessary condition?

What are the points of differentiability of $f(z)=\vert z \vert^2+\iota \bar z +1$?

Why is $ w^{2n} + w^n + 1 = 0 $?

Why is $z=\sqrt{2i}$ equal to $z=1+i$?

how to solve $(z-i)^{m}=(z+i)^{m}$

Is $0^i$ indeterminate?

What is the value of ∑k=16(sin2πk/7−icos2πk/7)=?

Interval of convergence of trig. series involving complex numbers

Finding equation with roots $\cos(2k+1)\pi/9$ and using Vieta's formula's

"Multiplication" of Complex Numbers

Solving $f(x)=a,a \in A$?

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