File:KhinchinBeispiele.svg

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Summary

Description
English: Mathematica Plot of the evolutions of several real numbers to Khinchin's constant

Red: Pi ()
Blue: The Euler-Mascheroni constant
Green: The cube root of 2 ()

The black line is Khinchin's constant.
Deutsch: Mathematica-Plot von Entwicklungen verschiedener reeller Zahlen zur Khinchin-Konstante

Rot: Die Kreiszahl
Blau: Die Euler-Mascheroni-Konstante
Grün: Die dritte Wurzel aus 2 ()

Die schwarze Linie ist die Khinchin-Konstante.
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Author Ljfa-ag
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Mathematica code

KhinchinEntwicklung[Zahl_, Länge_] :=   Table[N[(Times @@ ContinuedFraction[Zahl, n])^(1/n)], {n, 1, Länge}] ListLinePlot[{Table[Khinchin, {n, 1, 500}],   KhinchinEntwicklung[\[Pi], 500],   KhinchinEntwicklung[EulerGamma + 1, 500],   KhinchinEntwicklung[2^(1/3), 500]   }, PlotStyle -> {Black, Red, Blue, Green}, PlotRange -> {2.2, 3.2}] 

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3 August 2009

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current16:23, 3 August 2009Thumbnail for version as of 16:23, 3 August 2009358 × 232 (57 KB)Ljfa-ag{{Information |Description={{en|1=Mathematica Plot of the evolutions several real numbers to Khinchin's constant<br> Red: Pi (<math>\pi</math>)<br> Blue: The [[wikipedia:Euler-Mascheroni constant|Euler-Ma

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