File:Logez02.jpg

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DescriptionLogez02.jpg	Function $~f=\ln(z)~$ in the complex $~z~$ -plane. Abscissa is $~\Re(z)~$ , Ordinate 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 $~\Re(f)~=\rm const > 0~$ . The cut at $~z<0~$ is shown with multicolored line. Gridlines are drawn with unity interval and cover the range $~-4\le \Re(z)\le 16~$ , $~-4\le \Im(z)\le 4~$ .
Date	2008
Source	Own work
Author	Domitori
Permission (Reusing this file)	Free use, distribute, modify. I can even send the source used to plot it.

	The copyright holder of this file allows anyone to use it for any purpose, provided that the copyright holder is properly attributed. Redistribution, derivative work, commercial use, and all other use is permitted.
	Attribution

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	Date/Time	Thumbnail	Dimensions	User	Comment
current	04:53, 8 May 2008		612×792 (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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