File:Principle branch of arg on plane.png

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Principle_branch_of_arg_on_plane.png(280 × 279 pixels, file size: 19 KB, MIME type: image/png)

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Summary

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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

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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

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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.

File history

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Date/TimeThumbnailDimensionsUserComment
current01:07, 11 February 2009Thumbnail for version as of 01:07, 11 February 2009280 × 279 (19 KB)Kan8eDie (talk | contribs){{Information |Description={{en|1=The principle branch of arg projected down onto the plane. Colours match the main file Image:Principle branch of arg on Riemann.png. {{mathematica}}}} |Source=Own work by uploader |Author=Kan8eDie |

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