Image:Try02.jpg

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[edit] Summary

Description

Amplitude ~ \rho ~ and phase ~ \varphi ~ of !actorial f=\rho \exp({\rm i}\varphi)=(x+{\rm i}y)!=\Gamma(x+{\rm i}y+1) in the complex x + iy plane. Several levels of constant modulus (amplitude) ρ = const and constant phase \varphi=\rm const are shown. Set ~ f<0 ~ is shown with scratched line. The grid covers range ~-3 \le x \le 3~, ~-2 \le y \le 2~ with unit step.
Source

self-made
Date

2008
Author

Domitori
Permission
(Reusing this image)

feel tree to copy, distrubute, use, modify as you like

[edit] Licensing

Public domain I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide.

In case this is not legally possible:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

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File history

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Date/TimeDimensionsUserComment
current10:51, 10 May 2008610×493 (122 KB)Domitori ({{Information |Description=Factorial <math>f=\rho \exp({\rm i}\varphi=(x+{\rm i}y)! </math> in the <math>x,y</math> plane. Several levels <math>\rho =\rm const</math> and <math>\varphi=const</math> are shown. Level <math>\Re\Big((x+{\rm i}y)! \Big)+0<\mat)
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Orientation Normal
Horizontal resolution 72 dpi
Vertical resolution 72 dpi