File:Zugeordnete Laguerre-Polynome.svg

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Original file(SVG file, nominally 800 × 498 pixels, file size: 132 KB)

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Summary

Description
Deutsch: zugeordnete Laguerre-Polynome

erstellt mit Mathematica 8:

Needs["PlotLegends`"]
Export["Laguerre2.svg", 
 Plot[{LaguerreL[0, 0, x], LaguerreL[1, 0, x], LaguerreL[1, 1, x], 
   LaguerreL[2, 0, x], LaguerreL[2, 1, x], LaguerreL[2, 2, x], 
   LaguerreL[3, 0, x], LaguerreL[3, 1, x], LaguerreL[3, 2, x], 
   LaguerreL[3, 3, x]}, {x, -2, 10}, PlotRange -> {-5, 10}, 
  PlotStyle -> {{Orange, Thick}, {Thick, Blue}, {Blue, Dashed, 
     Thick}, {Red, Thick}, {Red, Dashed, Thick}, {Red, Dotted, 
     Thick}, {Darker[Green], Thick}, {Darker[Green], Dashed, 
     Thick}, {Darker[Green], Dotted, Thick}, {Darker[Green], 
     DotDashed, Thick}}, GridLines -> Automatic, 
  GridLinesStyle -> Dashed, Frame -> True, 
  FrameLabel -> {x, 
    Row[{Subsuperscript[L, n, k], Style["(x)", Italic]}], 
    Style["zugeordnete Laguerre-Polynome", "Section"]}, 
  PlotLegend -> {Style["n=0  k=0", FontSize -> 12, 
     FontFamily -> Arial], 
    Style["n=1  k=0", FontSize -> 12, FontFamily -> Arial], 
    Style["n=1  k=1", FontSize -> 12, FontFamily -> Arial], 
    Style["n=2  k=0", FontSize -> 12, FontFamily -> Arial], 
    Style["n=2  k=1", FontSize -> 12, FontFamily -> Arial], 
    Style["n=2  k=2", FontSize -> 12, FontFamily -> Arial], 
    Style["n=3  k=0", FontSize -> 12, FontFamily -> Arial], 
    Style["n=3  k=1", FontSize -> 12, FontFamily -> Arial], 
    Style["n=3  k=2", FontSize -> 12, FontFamily -> Arial], 
    Style["n=3  k=3", FontSize -> 12, FontFamily -> Arial]}, 
  LegendPosition -> {-0.2, 0.1}, LegendShadow -> None, 
  LegendSize -> {0.25, 0.4}], ImageSize -> 800, 
 CharacterEncoding -> "ASCII"]
und nachbearbeitet mit Inkscape (falsch dargestellt Zeichen korrigieren, Leinwandgröße anpassn)
English: associated Laguerre polynomials
Date
Source Own work
 
This W3C-unspecified diagram was created with Mathematica.
Author Volvoxdiekugelamoebe

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
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  • to share – to copy, distribute and transmit the work
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Under the following conditions:
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8 March 2014

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Date/TimeThumbnailDimensionsUserComment
current19:02, 8 March 2014Thumbnail for version as of 19:02, 8 March 2014800 × 498 (132 KB)wikimediacommons>Volvoxdiekugelamoebeverbesserte Legende

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