Question

Do complex vectors remain on a plane when getting rotated?

score 437 · Answer 1 · 2026-03-27 17:04:59

437

Views

Do complex vectors remain on a plane when getting rotated?

Published on 27 Mar 2026 - 17:04

score 120 · Answer 2 · 2019-07-17 20:15:40

120

Views

For real part of $z$ and $w >0$, prove $\left|\frac{z - w}{\bar z + w}\right|< 1$?

Published on 17 Jul 2019 - 20:15

score 35 · Answer 3 · 2019-07-18 15:35:06

35

Views

Compute the possible square roots

Published on 18 Jul 2019 - 15:35

score 202 · Answer 4 · 2026-04-02 00:39:00

202

Views

Let $\omega=\exp (2 \pi i / 3)$. Show that $\alpha=\omega+2\omega^{-1}$ is algebraic over $\mathbb{Q}$ and compute its minimal polynomial.

Published on 02 Apr 2026 - 0:39

score 161 · Answer 5 · 2026-03-24 08:37:27

161

Views

Intuitive understanding of Euler's Formula

Published on 24 Mar 2026 - 8:37

score 81 · Answer 6 · 2019-07-18 22:48:12

81

Views

Square root of an algebraic form of a complex number

Published on 18 Jul 2019 - 22:48

score 482 · Answer 7 · 2026-04-03 20:52:11

482

Views

In a pentagon $ABCDE$, $\measuredangle AED =\measuredangle BCD = 90^{\circ}$.

Published on 03 Apr 2026 - 20:52

score 32 · Answer 8 · 2026-03-29 16:29:18

32

Views

How to write the equations of the path to a point in complex numbers?

Published on 29 Mar 2026 - 16:29

score 343 · Answer 9 · 2026-04-09 04:39:39

343

Views

Equality of complex numbers in general

Published on 09 Apr 2026 - 4:39

score 53 · Answer 10 · 2026-03-27 13:48:25

53

Views

Having $x^3=(3+4i)\overline{x},$ with $x$ a complex number, what is the sum of the moduli of its roots?

Published on 27 Mar 2026 - 13:48

score 1.5k · Answer 11 · 2026-03-25 06:51:37

1.5k

Views

orthogonality of complex exponentials

Published on 25 Mar 2026 - 6:51

score 72 · Answer 12 · 2019-07-20 17:50:59

72

Views

Solve $ z = c $ , where $z$ is a complex number and $c$ is an integer using the trigonometric form of z

Published on 20 Jul 2019 - 17:50

score 2.6k · Answer 13 · 2026-04-04 07:35:37

2.6k

Views

Notation of a Unit Circle: Does $S^1$ only mean a unit circle? Or does it have something to do with symmetric groups?

Published on 04 Apr 2026 - 7:35

score 95 · Answer 14 · 2019-07-22 08:06:02

95

Views

Find $a,b, c,d$ such that $z^{4} + 16 = (z-a)(z-b)(z-c)(z-d) $.

Published on 22 Jul 2019 - 8:06

score 61 · Answer 15 · 2026-03-31 12:22:29

61

Views

Expansion of a Complex Product

Published on 31 Mar 2026 - 12:22

List Question

Do complex vectors remain on a plane when getting rotated?

For real part of $z$ and $w >0$, prove $\left|\frac{z - w}{\bar z + w}\right|< 1$?

Compute the possible square roots

Let $\omega=\exp (2 \pi i / 3)$. Show that $\alpha=\omega+2\omega^{-1}$ is algebraic over $\mathbb{Q}$ and compute its minimal polynomial.

Intuitive understanding of Euler's Formula

Square root of an algebraic form of a complex number

In a pentagon $ABCDE$, $\measuredangle AED =\measuredangle BCD = 90^{\circ}$.

How to write the equations of the path to a point in complex numbers?

Equality of complex numbers in general

Having $x^3=(3+4i)\overline{x},$ with $x$ a complex number, what is the sum of the moduli of its roots?

orthogonality of complex exponentials

Solve $ z = c $ , where $z$ is a complex number and $c$ is an integer using the trigonometric form of z

Notation of a Unit Circle: Does $S^1$ only mean a unit circle? Or does it have something to do with symmetric groups?

Find $a,b, c,d$ such that $z^{4} + 16 = (z-a)(z-b)(z-c)(z-d) $.

Expansion of a Complex Product

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