21 Mar

File:Prime number theorem ratio convergence.svg

source
← Older revision
Revision as of 12:47, 21 March 2013
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== Source ==

== Source ==

All source released under CC0 waiver.

All source released under CC0 waiver.

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Mathematica source to generate graph (which was then saved as SVG from Mathematica):



   


 

  (* Sample both functions at 600 logarithmically spaced points between \

   

  (* Sample both functions at 600 logarithmically spaced points between \

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  LaTeX source for labels:

   

  LaTeX source for labels:

 


   


 

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  $$ \left.{\pi(n)}\middle/{\frac{n}{\ln n}}\right. $$

 

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  $$ \left.{\pi(n)}\middle/{\int_2^n \frac{1}{\ln t} \mathrm{d}t}\right. $$

 


   


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  Labels were converted to SVG with [http://www.tlhiv.org/ltxpreview/] and then the graph was embedded into the resulting document in Inkscape. Axis fonts were also converted to Liberation Serif in Inkscape.

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  These were converted to SVG with [http://www.tlhiv.org/ltxpreview/] and then the graph was embedded into the resulting document in Inkscape. Axis fonts were also converted to Liberation Serif in Inkscape.
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