File:Real-tetration.png

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

This file is from Wikimedia Commons and may be used by other projects. The description on its file description page there is shown below.

This graph image could be re-created using vector graphics as an SVG file. This has several advantages; see Commons:Media for cleanup for more information. If an SVG form of this image is available, please upload it and afterwards replace this template with {{vector version available|new image name}}.


It is recommended to name the SVG file “Real-tetration.svg”—then the template Vector version available (or Vva) does not need the new image name parameter.

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

image/png

File history

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Date/TimeThumbnailDimensionsUserComment
current16:57, 4 September 2014Thumbnail for version as of 16:57, 4 September 2014244 × 864 (15 KB)wikimediacommons>05storm26Transferred from en.wikipedia

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