Question

Prove the zero in the complex number system is unique.

score 379 · Answer 1 · 2018-10-11 20:49:57

379

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Prove the zero in the complex number system is unique.

Published on 11 Oct 2018 - 20:49

score 47 · Answer 2 · 2026-03-26 07:35:23

47

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De forming the contour and showing that the contributions of contours of infinitely small lengths go to zero

Published on 26 Mar 2026 - 7:35

score 875 · Answer 3 · 2026-04-01 03:26:35

875

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Roots of polynomial equation $x^6+2x^5+4x^4+8x^3+16x^2+32x+64=0$

Published on 01 Apr 2026 - 3:26

score 412 · Answer 4 · 2026-03-28 04:52:10

412

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Unit circle method for converting complex number into polar coordinate

Published on 28 Mar 2026 - 4:52

score 98 · Answer 5 · 2026-03-26 08:02:41

98

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Prove that $e^{\frac12i\,\text{gd}(\pi t)}\cos^\frac12(\text{gd}(\pi t))=\frac{1+i}{e^{\pi z}+i}e^{\frac{\pi z}2}$

Published on 26 Mar 2026 - 8:02

score 142 · Answer 6 · 2018-10-13 12:59:55

142

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Complex number to the power of n proof

Published on 13 Oct 2018 - 12:59

score 322 · Answer 7 · 2018-10-13 16:18:05

322

Views

How are the complex numbers $z_1$ and $z_2$ related if $\arg(z_1) = \arg(z_2)$?

Published on 13 Oct 2018 - 16:18

score 53 · Answer 8 · 2026-03-25 19:02:06

53

Views

Considering two regions and a holomorphic function, show the following

Published on 25 Mar 2026 - 19:02

score 1.6k · Answer 9 · 2026-03-27 19:30:56

1.6k

Views

Solving a complex equation $Ax=b$ with $A,b\in\mathbb C$ using linear algebra

Published on 27 Mar 2026 - 19:30

score 82 · Answer 10 · 2018-10-13 23:33:46

82

Views

Justification for a real number to a complex power

Published on 13 Oct 2018 - 23:33

score 31 · Answer 11 · 2018-10-14 01:41:53

31

Views

Independent vectors multiplied to array help

Published on 14 Oct 2018 - 1:41

score 118 · Answer 12 · 2018-10-14 02:25:19

118

Views

Expanding $4\sin^3(x)$ using the Complex Exponential

Published on 14 Oct 2018 - 2:25

score 285 · Answer 13 · 2018-10-14 06:22:23

285

Views

Prove that $\frac{3}{5} + \frac{4}{5}i$ is not a root of unity

Published on 14 Oct 2018 - 6:22

score 92 · Answer 14 · 2026-04-01 04:57:19

92

Views

Is $i$ a 3rd root of $-i$

Published on 01 Apr 2026 - 4:57

score 31 · Answer 15 · 2018-10-14 16:22:03

31

Views

A “Complex Number” equation problem

Published on 14 Oct 2018 - 16:22

List Question

Prove the zero in the complex number system is unique.

De forming the contour and showing that the contributions of contours of infinitely small lengths go to zero

Roots of polynomial equation $x^6+2x^5+4x^4+8x^3+16x^2+32x+64=0$

Unit circle method for converting complex number into polar coordinate

Prove that $e^{\frac12i\,\text{gd}(\pi t)}\cos^\frac12(\text{gd}(\pi t))=\frac{1+i}{e^{\pi z}+i}e^{\frac{\pi z}2}$

Complex number to the power of n proof

How are the complex numbers $z_1$ and $z_2$ related if $\arg(z_1) = \arg(z_2)$?

Considering two regions and a holomorphic function, show the following

Solving a complex equation $Ax=b$ with $A,b\in\mathbb C$ using linear algebra

Justification for a real number to a complex power

Independent vectors multiplied to array help

Expanding $4\sin^3(x)$ using the Complex Exponential

Prove that $\frac{3}{5} + \frac{4}{5}i$ is not a root of unity

Is $i$ a 3rd root of $-i$

A “Complex Number” equation problem

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