Topological derivative: Difference between revisions

Revision as of 23:10, 7 February 2014

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-==Summary==
+Hi there, I am Sophia. The preferred pastime for him and his kids is to perform lacross and he would by no means give it up. Invoicing is what I do for a living but I've always wanted my personal company. Her family members life in Ohio but her husband desires them to transfer.<br><br>Also visit my homepage :: online psychic reading - [http://kpupf.com/xe/talk/735373 kpupf.com],
-This plot illustrates normalized fluctuations of the [[prime-counting function]] <math>\pi(x)</math> on the logarithmic scale.
-The red line represents [[Prime-counting function#Formulas_for_prime-counting_functions|Δ-function]], while the blue curve represents similar function where <math>\pi_0(x)</math> is replaced by <math>\mathrm{li}(x)</math>, so one can compare the fluctuations with the difference between <math>\pi(x)</math> and <math>\mathrm{li}(x)</math>.
-The image was built by [[User:Droog_Andrey|Droog_Andrey]] using Wolfram Mathematica 7.0 as follows:
-<code>LogLinearPlot[{(PrimePi[x] - RiemannR[x] + 1/Log[x] - ArcTan[Pi/Log[x]]/Pi)*Log[x]/Sqrt[x], (LogIntegral[x] - RiemannR[x] + 1/Log[x] - ArcTan[Pi/Log[x]]/Pi)*Log[x]/Sqrt[x]}, {x, 1, Exp[14]}, PlotPoints -> 10000, PlotRange -> All, PlotStyle -> {Red, Blue}, AxesOrigin -> {1, 0}, AspectRatio -> 1/2, AxesStyle -> Thick, TicksStyle -> Directive[Thick, Bold, 16]]</code>
-== Licensing ==
-{{PD-self|date=May 2007}}
-{{Copy to Wikimedia Commons|bot=Fbot|priority=true|date=March 2012}}

Topological derivative: Difference between revisions

Revision as of 23:10, 7 February 2014

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