Question

Are complex numbers just vectors defined by cosine (x axis) and sine (y-axis)?

score 676 · Answer 1 · 2026-03-25 22:26:10

676

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Are complex numbers just vectors defined by cosine (x axis) and sine (y-axis)?

Published on 25 Mar 2026 - 22:26

score 532 · Answer 2 · 2026-03-25 08:10:51

532

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The value of $y=\frac{x}{1+x}$, where $x={{\omega^{2009}}^{2009}}^{. ...\text{upto}\;2009\;\text{times}}$

Published on 25 Mar 2026 - 8:10

score 166 · Answer 3 · 2018-04-11 10:13:53

166

Views

sum of complex numbers, module 1

Published on 11 Apr 2018 - 10:13

score 47 · Answer 4 · 2018-04-11 13:56:00

47

Views

Rectangular form of $z$ without cosine and sine

Published on 11 Apr 2018 - 13:56

score 110 · Answer 5 · 2026-03-25 15:39:44

110

Views

How do I evaluate this complex integral without using Cauchy's Integral Formula or Residue Theorem?

Published on 25 Mar 2026 - 15:39

score 119 · Answer 6 · 2026-03-26 01:28:40

119

Views

What would have been if $\sqrt{-1}$ were named differently?

Published on 26 Mar 2026 - 1:28

score 1.1k · Answer 7 · 2026-03-25 01:16:18

1.1k

Views

Find a Mobius Transformation that maps the points $\{0,1,\infty\}$ to $\{-1,-i,1\}$

Published on 25 Mar 2026 - 1:16

score 69 · Answer 8 · 2018-04-12 00:02:47

69

Views

Inequality regarding complex numbers.

Published on 12 Apr 2018 - 0:02

score 25 · Answer 9 · 2018-04-12 05:00:55

25

Views

Determine if (1,2,0) is in the Span

Published on 12 Apr 2018 - 5:00

score 28 · Answer 10 · 2026-03-25 01:28:06

28

Views

Finding $|\psi(x,t)|^2$, $\sigma_x$ and $\sigma_p$ given $\widetilde\psi(k) = Ce^{-(k-k_0)^2d^2}$ (Gaussian wave packet)

Published on 25 Mar 2026 - 1:28

score 207 · Answer 11 · 2026-03-24 22:07:39

207

Views

Apply Cardano's method to find the roots of $f(x)=x^3 - 6x + 4$

Published on 24 Mar 2026 - 22:07

score 56 · Answer 12 · 2026-03-22 08:54:04

56

Views

Sum over binary words of length $k$.

Published on 22 Mar 2026 - 8:54

score 83 · Answer 13 · 2018-04-12 22:08:14

83

Views

Why $\Re\left(e^{\sqrt{-\log x}}\right)=\Im\left(e^{\sqrt{-\log x}}\right)$ has no real solutions?

Published on 12 Apr 2018 - 22:08

score 627 · Answer 14 · 2018-04-12 22:12:32

627

Views

Question about essential singularity

Published on 12 Apr 2018 - 22:12

score 40.6k · Answer 15 · 2018-04-13 11:31:50

40.6k

Views

Does Euler's formula give $e^{-ix}=\cos(x) -i\sin(x)$?

Published on 13 Apr 2018 - 11:31

List Question

Are complex numbers just vectors defined by cosine (x axis) and sine (y-axis)?

The value of $y=\frac{x}{1+x}$, where $x={{\omega^{2009}}^{2009}}^{. ...\text{upto}\;2009\;\text{times}}$

sum of complex numbers, module 1

Rectangular form of $z$ without cosine and sine

How do I evaluate this complex integral without using Cauchy's Integral Formula or Residue Theorem?

What would have been if $\sqrt{-1}$ were named differently?

Find a Mobius Transformation that maps the points $\{0,1,\infty\}$ to $\{-1,-i,1\}$

Inequality regarding complex numbers.

Determine if (1,2,0) is in the Span

Finding $|\psi(x,t)|^2$, $\sigma_x$ and $\sigma_p$ given $\widetilde\psi(k) = Ce^{-(k-k_0)^2d^2}$ (Gaussian wave packet)

Apply Cardano's method to find the roots of $f(x)=x^3 - 6x + 4$

Sum over binary words of length $k$.

Why $\Re\left(e^{\sqrt{-\log x}}\right)=\Im\left(e^{\sqrt{-\log x}}\right)$ has no real solutions?

Question about essential singularity

Does Euler's formula give $e^{-ix}=\cos(x) -i\sin(x)$?

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