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Problem converting to polar form in proof

score 55 · Answer 1 · 2026-04-12 19:16:52

55

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Problem converting to polar form in proof

Published on 12 Apr 2026 - 19:16

score 124 · Answer 2 · 2026-04-12 20:01:47

124

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A complex log question

Published on 12 Apr 2026 - 20:01

score 1.8k · Answer 3 · 2026-04-12 04:12:30

1.8k

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convert complex number in denominator of fraction into polar form

Published on 12 Apr 2026 - 4:12

score 124 · Answer 4 · 2026-04-10 18:46:24

124

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How do we explain the existence of complex conjugation?

Published on 10 Apr 2026 - 18:46

score 108 · Answer 5 · 2026-04-11 15:24:13

108

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Infinite field extension but algebraic subset

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score 2.5k · Answer 6 · 2026-04-12 12:25:34

2.5k

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Does the complex conjugate just switch the sign in-between the numbers?

Published on 12 Apr 2026 - 12:25

score 497 · Answer 7 · 2026-04-10 09:26:40

497

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General formula for a square in complex numbers

Published on 10 Apr 2026 - 9:26

score 2.1k · Answer 8 · 2026-04-11 03:05:49

2.1k

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Shortest distance formula in complex numbers

Published on 11 Apr 2026 - 3:05

score 9.9k · Answer 9 · 2026-04-12 22:05:19

9.9k

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Solving a complex number equation with both $z$ and its conjugate $\bar z$

Published on 12 Apr 2026 - 22:05

score 920 · Answer 10 · 2026-03-30 05:31:39

920

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Factorising a complex polynomial over C

Published on 30 Mar 2026 - 5:31

score 827 · Answer 11 · 2026-04-01 10:02:24

827

Views

Proving $\det \left( \begin{smallmatrix} A & -B \\ B & A \end{smallmatrix} \right) =|\det(A+iB)|^2$

Published on 01 Apr 2026 - 10:02

score 138 · Answer 12 · 2026-04-12 22:25:51

138

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Factorising a complex polynomial over $\mathbb{C}$

Published on 12 Apr 2026 - 22:25

score 592 · Answer 13 · 2026-04-04 00:19:00

592

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$f(x)=x^3+ax^2+bx+c$ where $1\ge a\ge b\ge c\ge 0$. If $\lambda$ is any root of the polynomial, show that $|\lambda|\le 1$

Published on 04 Apr 2026 - 0:19

score 1k · Answer 14 · 2014-03-25 08:30:57

Why $A\sin(2\pi ft) =\frac{A}{2j}(e^{j2\pi ft}-e^{-j2\pi ft})$ but not $\frac{A}{2}(e^{j2\pi ft}-e^{-j2\pi ft})$?

score 129 · Answer 15 · 2014-03-25 15:35:55

129

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roots of complex numbers $z^2$

Published on 25 Mar 2014 - 15:35

List Question

Problem converting to polar form in proof

A complex log question

convert complex number in denominator of fraction into polar form

How do we explain the existence of complex conjugation?

Infinite field extension but algebraic subset

Does the complex conjugate just switch the sign in-between the numbers?

General formula for a square in complex numbers

Shortest distance formula in complex numbers

Solving a complex number equation with both $z$ and its conjugate $\bar z$

Factorising a complex polynomial over C

Proving $\det \left( \begin{smallmatrix} A & -B \\ B & A \end{smallmatrix} \right) =|\det(A+iB)|^2$

Factorising a complex polynomial over $\mathbb{C}$

$f(x)=x^3+ax^2+bx+c$ where $1\ge a\ge b\ge c\ge 0$. If $\lambda$ is any root of the polynomial, show that $|\lambda|\le 1$

Why $A\sin(2\pi ft) =\frac{A}{2j}(e^{j2\pi ft}-e^{-j2\pi ft})$ but not $\frac{A}{2}(e^{j2\pi ft}-e^{-j2\pi ft})$?

roots of complex numbers $z^2$

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