File:KhinchinBeispiele.svg

From Wikimedia Commons, the free media repository
Jump to navigation Jump to search

Original file(SVG file, nominally 358 × 232 pixels, file size: 57 KB)

Captions

Captions

Add a one-line explanation of what this file represents

Summary

[edit]
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 reeler 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.
Date
Source Own work
Author Ljfa-ag
SVG development
InfoField
 
The SVG code is valid.
 
This diagram was created with Mathematica.
 
 This diagram uses embedded text that can be easily translated using a text editor.
Source code
InfoField

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}]

Licensing

[edit]
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.
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
You may select the license of your choice.

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current16:23, 3 August 2009Thumbnail for version as of 16:23, 3 August 2009358 × 232 (57 KB)Ljfa-ag (talk | contribs){{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

There are no pages that use this file.

File usage on other wikis

The following other wikis use this file: