File:KhinchinGegenbeispiele.svg

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

Red: Euler's number ()
Blue: The square root of 2 ()
Green: The square root of 3 ()

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

Rot: Die Eulersche Zahl
Blau: Die Wurzel aus 2 ()
Grün: Die Wurzel aus 3 ()

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}]
$MaxExtraPrecision = 250;
ListLinePlot[{Table[Khinchin, {n, 1, 500}],
  KhinchinEntwicklung[E, 500],
  KhinchinEntwicklung[2^(1/2), 500],
  KhinchinEntwicklung[3^(1/2), 500]
  }, PlotStyle -> {Black, Red, Blue, Green}, PlotRange -> {1, 5}]

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current16:47, 3 August 2009Thumbnail for version as of 16:47, 3 August 2009359 × 237 (55 KB)Ljfa-ag (talk | contribs){{Information |Description={{en|1=Mathematica Plot of counter-examples of the evolutions of several real numbers to Khinchin's constant<br> Red: Euler's number (<math>e</math>)<br> Blue: The [

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