Chebyshev function: Difference between revisions

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== Summary ==
Greetings! I am Marvella and I feel comfortable when individuals use the full title. North Dakota is our beginning place. Bookkeeping is her working day job now. One of the very best issues in the globe for me is to do aerobics and now I'm trying to earn cash with it.<br><br>Here is my site; [http://kpchurch.org/?document_srl=1359143 http://kpchurch.org]
Plot of Chebyshev's <math>\psi</math> function, along with the approximation <math>x-\log 2\pi</math>. This function can be defined in [[Mathematica]] by:
 
ψ[n_] := Sum[If[PrimeQ[p], Floor[Log[n]/Log[p]] Log[p], 0], {p, 2, n}]
SetAttributes[ψ, Listable]
 
The above plot was then generated by:
 
  Plot[{ψ[n], n - Log[2π]}, {n, 0, 50},
    AxesLabel -> {n, "ψ(n)"},
    TextStyle -> {FontFamily -> "Times", FontSize -> 16},
    PlotStyle -> {{Hue[0.6], Thickness[0.006]}, {RGBColor[0, 0, 0]}}]
 
== Licensing ==
{{PD-self|date=October 2006}}
 
{{Copy to Wikimedia Commons|bot=Fbot|priority=true|date=March 2012}}

Latest revision as of 21:26, 12 May 2014

Greetings! I am Marvella and I feel comfortable when individuals use the full title. North Dakota is our beginning place. Bookkeeping is her working day job now. One of the very best issues in the globe for me is to do aerobics and now I'm trying to earn cash with it.

Here is my site; http://kpchurch.org