File:Natural Logarithm Im Abs.svg

Summary[edit]

DescriptionNatural Logarithm Im Abs.svg	English: 3D surface plot of the absolute value of the imaginary component of the complex natural logarithm: ${\displaystyle \textstyle \left\vert \operatorname {Im} (\ln(z))\right\vert }$.
Date	23 July 2013, 19:56:51
Source	Own work, made with Gnuplot.
Author	IkamusumeFan

Licensing[edit]

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

This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.

You are free:

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

Under the following conditions:

• attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
• share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

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

Gnuplot[edit]

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 "yellow", 1 "orange")
i = {0.0,1.0}
splot abs(imag(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(imag(log(x+i*y))) lt rgb "black"

unset multiplot
set term x11
set output