File:KhinchinGegenbeispiele.svg: Difference between revisions

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{{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 [
 
Ljfa-ag (talk | contribs)
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}}
}}
Source code:
Source code:
<source lang="text">
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}]
</source>
[[Category:Continued fractions]]
[[Category:Continued fractions]]
[[Category:Mathematica diagrams]]
[[Category:Mathematica diagrams]]

== [[Commons:Copyright tags|Licensing]] ==
== [[Commons:Copyright tags|Licensing]] ==
{{self|GFDL|cc-by-sa-3.0}}
{{self|GFDL|cc-by-sa-3.0}}

Revision as of 16:49, 3 August 2009

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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.
Date
Source Eigenes Werk (own work)
Author Ljfa-ag

Source 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}]
I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
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You are free:
  • to share – to copy, distribute and transmit the work
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Under the following conditions:
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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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