DescriptionNatural Logarithm Abs.svg	English: 3D surface plot of the absolute value of the complex natural logarithm: ${\displaystyle \textstyle \left\vert \ln(z)\right\vert }$.
Date	23 July 2013, 20:08:18
Source	Own work, made with Gnuplot.
Author	IkamusumeFan

I, the copyright holder of this work, hereby publish it under the following license:

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You are free:

• to share – to copy, distribute and transmit the work
• to remix – to adapt the work

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https://creativecommons.org/licenses/by-sa/3.0CC BY-SA 3.0 Creative Commons Attribution-Share Alike 3.0 truetrue

set term svg size 800,600 enhanced font 'Times,12'
set output 'Natural_Logarithm_Abs.svg'

set multiplot

set cntrparam levels auto 20
set contour base
set isosamples 60,60
set samples 60,60
set xlabel "x"
set ylabel "y"
set zlabel "z"
set xrange [-2.5:2.5]
set yrange [-2.0:2.0]
set zrange [-3:4]
set box
#set view 65,45
# Draw the surface
set pm3d
set hidd
unset key
set ticslevel 0
set palette defined (-1 "red", 1 "orange")
i = {0.0,1.0}
splot abs(log(x+i*y))
# Draw the lines
unset cntrparam
unset contour
unset pm3d
unset hidd
set isosamples 20,20
set samples 20,20
splot abs(log(x+i*y)) lt rgb "black"

unset multiplot
set term x11
set output