Image:Mertens.svg

From Wikipedia, the free encyclopedia

Image
File history
File links

Mertens.svg‎ (63KB, MIME type: image/svg+xml)

1 Summary
2 See also
3 Licensing
4 Source code

[edit] Summary

Graph of Mertens function for values of n from 1 to 10,000. Note the remarkably chaotic, unpredictable movement of this function.

[edit] See also

The Mertens function to 10M

[edit] Licensing

Created by User:Linas, Linas Vepstas, 2 July 2006

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts.

[edit] Source code

Created with gnuplot, with the following markup:

set term svg
set out 'mertens.svg'

set data style lines
unset zeroaxis
set xtics border
set ytics border

set bmargin 5
set lmargin 7

set title "Mertens function"
set xlabel "n" 1,0
set ylabel "M(n)" 1, 0
plot "mertens.dat" using 1:2 title "" with lines linewidth 2

File history

Legend: (cur) = this is the current file, (del) = delete this old version, (rev) = revert to this old version.
Click on date to download the file or see the image uploaded on that date.

(del) (cur) 20:22, 2 July 2006 . . Linas (Talk | contribs) . . 600×480 (64,369 bytes) (Graph of Mertens function for values of ''n'' from 1 to 10,000. Created by User:Linas, Linas Vepstas, 2 July 2006 )