File:Real-tetration.png

Original file(244 × 864 pixels, file size: 15 KB, MIME type: image/png)

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Summary

Description
English: Author: Andrew Robbins. I made this with Mathematica. I grant fair use to this image. This is an image of real tetration using the linear approximation.
Date 25 November 2007 (original upload date)
Source Transferred from en.wikipedia to Commons.
Author AJRobbins at English Wikipedia

Plotting with gnuplot

It is possible to plot this in gnuplot with following commands:

set grid
set xr[-4:4]
set yr[-5:15]
set yzeroaxis linetype 7 linewidth 1.5
set xzeroaxis linetype 7 linewidth 1.5
tet(a,n)=(n<0)?((n<-1)?(log(tet(a,n+1))/log(a)):(1.0+((2*log(a))/(1+log(a)))*n-((1-log(a))/(1+log(a)))*n**2)) :(a**tet(a,n-1.0)) 
e=exp(1)
set xtic 1
set ytic 1
plot tet(e,x)

Above commands can be used to make an .svg version of the plot.

Licensing

Public domain This work has been released into the public domain by its author, AJRobbins at English Wikipedia. This applies worldwide.
In some countries this may not be legally possible; if so:
AJRobbins grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Original upload log

The original description page was here. All following user names refer to en.wikipedia.
Date/Time Dimensions User Comment
2007-11-25 10:48 244×864× (15340 bytes) AJRobbins Author: Andrew Robbins. I made this with Mathematica. I grant fair use to this image. This is an image of real tetration using the linear approximation.

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25 November 2007

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Date/TimeDimensionsUserComment
current06:57, 4 September 2014244 × 864 (15 KB)05storm26Transferred from en.wikipedia

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