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Chapter 2 Section 17 Problem 28 - Mary L Boas.

score 99 · Answer 1 · 2019-09-06 14:33:39

99

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Chapter 2 Section 17 Problem 28 - Mary L Boas.

Published on 06 Sep 2019 - 14:33

score 103 · Answer 2 · 2019-09-06 18:35:13

103

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How does $x+iy = (s+it)^n \implies x-iy = (s-it)^n,$ where $x, y, s, t\in\Bbb R?$

Published on 06 Sep 2019 - 18:35

score 151 · Answer 3 · 2026-04-02 06:24:57

151

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An identity containing $\exp\left(i\cdot \frac{2k\pi}{n} \right)$

Published on 02 Apr 2026 - 6:24

score 54 · Answer 4 · 2026-03-26 14:28:07

54

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What role does $i$ play when we use complex coordinates?

Published on 26 Mar 2026 - 14:28

score 39 · Answer 5 · 2019-09-07 10:46:46

39

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Prove an identity for any $a, b \in \mathbb{C} $

Published on 07 Sep 2019 - 10:46

score 55 · Answer 6 · 2026-03-25 06:12:08

55

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Can $z^*$ be represented using a formula made of elementary functions of $z$?

Published on 25 Mar 2026 - 6:12

score 29 · Answer 7 · 2019-09-07 20:51:51

29

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Image of a circunference by a complex-valued map

Published on 07 Sep 2019 - 20:51

score 116 · Answer 8 · 2019-09-07 21:51:59

116

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modulus of a complex number and module of a function

Published on 07 Sep 2019 - 21:51

score 91 · Answer 9 · 2019-09-08 02:19:12

91

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find the maximum of the $C$ such $|z_{1}+z_{2}+\cdots+z_{m}|\ge C,\forall m\in N^{+}$

Published on 08 Sep 2019 - 2:19

score 218 · Answer 10 · 2019-09-08 10:08:15

218

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Let $z = \sin(4t)+i(1-\cos(4t)), t \in [0,\pi/4)$; find $|z|$ and $\text {arg} (z)$

Published on 08 Sep 2019 - 10:08

score 36 · Answer 11 · 2019-09-08 13:04:33

36

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Find the value of $z \in\mathbb C$ such that $|z| - z = 5+9i$ express answer in exact form.

Published on 08 Sep 2019 - 13:04

score 97 · Answer 12 · 2026-03-25 01:23:55

97

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Synthetic Geometry vs Cartesian vs Complex Numbers vs Barycentric/Trilinear vs [Anything else left?]

Published on 25 Mar 2026 - 1:23

score 61 · Answer 13 · 2019-09-08 14:27:15

Let $z$ be a complex number with $\Re(z) = \dfrac{1}{7}$ and $|z| = 1$. Evaluate $\dfrac{(1+iz)(1+{\overline {z}}^{2})}{1-i{ {\overline {z}}}}$

score 88 · Answer 14 · 2026-04-11 17:31:21

88

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A quicker method than binomial expansion to expand $(2-3i)^{10}$

Published on 11 Apr 2026 - 17:31

score 83 · Answer 15 · 2026-04-09 05:18:40

83

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Complex Function Theory - The Algebra and Geometry of Complex Numbers

Published on 09 Apr 2026 - 5:18

List Question

Chapter 2 Section 17 Problem 28 - Mary L Boas.

How does $x+iy = (s+it)^n \implies x-iy = (s-it)^n,$ where $x, y, s, t\in\Bbb R?$

An identity containing $\exp\left(i\cdot \frac{2k\pi}{n} \right)$

What role does $i$ play when we use complex coordinates?

Prove an identity for any $a, b \in \mathbb{C} $

Can $z^*$ be represented using a formula made of elementary functions of $z$?

Image of a circunference by a complex-valued map

modulus of a complex number and module of a function

find the maximum of the $C$ such $|z_{1}+z_{2}+\cdots+z_{m}|\ge C,\forall m\in N^{+}$

Let $z = \sin(4t)+i(1-\cos(4t)), t \in [0,\pi/4)$; find $|z|$ and $\text {arg} (z)$

Find the value of $z \in\mathbb C$ such that $|z| - z = 5+9i$ express answer in exact form.

Synthetic Geometry vs Cartesian vs Complex Numbers vs Barycentric/Trilinear vs [Anything else left?]

Let $z$ be a complex number with $\Re(z) = \dfrac{1}{7}$ and $|z| = 1$. Evaluate $\dfrac{(1+iz)(1+{\overline {z}}^{2})}{1-i{ {\overline {z}}}}$

A quicker method than binomial expansion to expand $(2-3i)^{10}$

Complex Function Theory - The Algebra and Geometry of Complex Numbers

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