Jump to content

File:KhinchinBeispiele.svg

Page contents not supported in other languages.
This is a file from the Wikimedia Commons
From Wikipedia, the free encyclopedia
    Original file (SVG file, nominally 358 × 232 pixels, file size: 57 KB)

    Summary

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

    Red: Pi (π)
    Blue: The Euler-Mascheroni constant γ
    Green: The cube root of 2 (23)

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

    Rot: Die Kreiszahl π
    Blau: Die Euler-Mascheroni-Konstante γ
    Grün: Die dritte Wurzel aus 2 (23)

    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

    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.

    Captions

    Add a one-line explanation of what this file represents

    Items portrayed in this file

    depicts

    inception

    3 August 2009

    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{{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

    Global file usage

    The following other wikis use this file:

    Retrieved from "https://en.wikipedia.org/wiki/File:KhinchinBeispiele.svg"