File:Principle branch of arg on plane.png

Uploaded by Kan8eDie
Upload date 2009-02-11T01:07:25Z
MIME type image/png
Dimensions 280 × 279 px
File size 19.3 KB

Summary

Description
English: The principle branch of arg projected down onto the plane. Colours match the main file Image:Principle branch of arg on Riemann.png.
 This diagram was created with Mathematica.
Date
Source Own work
Author Kan8eDie
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Source

Show[
ParametricPlot[
 {l Cos[t], l Sin[t]},
 {t, -\[Pi], \[Pi]}, {l, 0, 20},
 ColorFunction -> (Directive[Hue[0.4 #3 + 0.2], 
     Opacity[If[#4 < 0.8, 1, 1 - 5 (#4 - 0.8)]]] &),
 PlotStyle -> {Opacity[0.9], Specularity[White, 50]},
 AspectRatio -> 1,
 PerformanceGoal -> "Quality",
 ImageSize -> 280,
 AxesLabel -> {\[GothicCapitalR], \[GothicCapitalI]},
 BoundaryStyle -> None,
 Frame -> None,
 MeshFunctions -> {#3 &},
 MeshStyle -> {Black},
 PlotRange -> 10,
 Mesh -> 15
 ], ParametricPlot[{l, 0}, {l, 0, -10}, 
 PlotStyle -> Directive[Thickness[0.015], Red]]
]

Licensing

Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

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11 February 2008