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| View Original: | Principle branch of arg on Riemann.png (600x596) | |||
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| Keywords: Principle branch of arg on Riemann.png en The plot is of the surface of arg coloured by modulus The thick red lines indicate the cut used to produce the principle branch and the red hatched section they bracket is the portion of the surface selected mathematica Own Kan8eDie 2008-02-11 Image Principle branch of arg on Riemann small png use this for article pages Image Principle branch of arg on plane png the accompanying projection onto the plane Source <code> Show ParametricPlot3D l Cost l Sint t t -2 \Pi 2 \Pi l 0 10 ColorFunction -> DirectiveHue0 8 4 OpacityIf 5 < 0 8 1 1 - 5 5 - 0 8 PlotStyle -> Opacity0 8 SpecularityWhite 50 BoxRatios -> 1 1 1 PerformanceGoal -> Quality PlotPoints -> 100 Boxed -> False Ticks -> Automatic Automatic Tablei \Pi i -2 2 ImageSize -> 600 AxesLabel -> \GothicCapitalR \GothicCapitalI Argz MeshFunctions -> IfAbs 4 < \Pi 5 0 MeshStyle -> Red ParametricPlot3D Table l Cost l Sint t t -2 \Pi 2 \Pi \Pi/8 l 0 10 ColorFunction -> Directive OpacityIf 4 < 0 8 1 1 - 5 4 - 0 8 PlotStyle -> DirectiveThin ParametricPlot3D -l 0 -\Pi + 0 05 -l 0 \Pi + 0 05 l 0 10 PlotStyle -> DirectiveThickness0 01 Red </code> Complex algebraic curves and Riemann surfaces | ||||
