File:EulerPhi100.PNG

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Summary

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Description Graph of the first 100 values for en:Euler's totient function
Note that the lower bound of y = 4n/15 is not an actual lower bound for the complete totient function (over all natural numbers)! There are many values below that line, but none in the first 100.
Date
Source Own work
Author User:Jokes_Free4Me
Other versions (only related through the concept of graphing the same function)

Licensing

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Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
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I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

File history

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Date/TimeThumbnailDimensionsUserComment
current21:56, 12 June 2012Thumbnail for version as of 21:56, 12 June 2012700 × 520 (23 KB)Jokes Free4Me (talk | contribs)Addressing Jeff G.'s concerns
18:29, 19 October 2009Thumbnail for version as of 18:29, 19 October 2009811 × 546 (16 KB)Jokes Free4Me (talk | contribs)Tweaked the formulas and the value positioning on the X axis.
18:21, 19 October 2009Thumbnail for version as of 18:21, 19 October 2009811 × 546 (16 KB)Jokes Free4Me (talk | contribs)Added a lower limit trendline as Glenn has requested on my talk page; added title, shown values on axis, decreased the skew factor to 1.5.
17:53, 9 February 2009Thumbnail for version as of 17:53, 9 February 2009891 × 489 (24 KB)Jokes Free4Me (talk | contribs){{Information |Description=Graph of the first 100 values for en:Euler's totient function |Source=Self-made |Date=2009-02-09 |Author=User:Jokes_Free4Me |Permission=see below |other_versions=(only related through the concept of graphing the same fu

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