Image:Logez02.jpg

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Description

Funciton ~f=\ln(z)~ in the complex ~z~-plane.
Abscissa is ~\Re(z)~, Ordinata is ~\Im(z)~.
lines of constant ~\Re(f)~ and lines of constant ~\Im(f)~ are shown.
Level ~\Im(f)=-2~ and level ~\Im(f)=-1~ are shown with thick red lines.
Level ~\Im(f)=1~ and level ~\Im(f)=2~ are shown with thick blue lines.
Levels
~\Im(f)=0~ ,
~\Re(f)=-2~ ,
~\Re(f)=-1~ ,
~\Re(f)=0~ ,
~\Re(f)=1~ ,
~\Re(f)=2~ ,
are also shown with thick black lines.
Intermediate levels are shown with lines:
green is used for ~\Im(f)~=\rm const~ ,
red is used for ~\Re(f)~=\rm const < 0~ ,
blue is used for ~\Im(f)~=\rm const > 0~ .
The cut at ~z<0~ is shown with multicolored line.
Gridlines are drawn with unity interval and cover the range
~-4\le \Re(z)\le 16~ ,
~-4\le \Im(z)\le 4~ .
Source

self-made
Date

2008
Author

Domitori
Permission
(Reusing this image)

Free use, distribute, modify. I can even send the source used to plot it.

Public domain This image is ineligible for copyright and therefore in the public domain, because it consists entirely of information that is common property and contains no original authorship.

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File history

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Date/TimeDimensionsUserComment
current04:53, 8 May 2008612×792 (69 KB)Domitori ({{Information |Description= UW PICO(tm) 4.6 File: ogari.txt Funciton <marh>~f=ln(z)~</math> in the complex <math>~z~</meth>-plane.<br> Abscissa is <math>~\R)
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