File:Principle branch of arg on Riemann.png
From Wikimedia Commons, the free media repository
Jump to navigation
Jump to search
Principle_branch_of_arg_on_Riemann.png (600 × 596 pixels, file size: 72 KB, MIME type: image/png)
File information
Structured data
Captions
File:Principle branch of arg on Riemann.svg is a vector version of this file. It should be used in place of this PNG file when not inferior.
File:Principle branch of arg on Riemann.png → File:Principle branch of arg on Riemann.svg
For more information, see Help:SVG.
|
Summary
[edit]DescriptionPrinciple branch of arg on Riemann.png |
English: 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. |
Date | |
Source | Own work |
Author | Kan8eDie |
Other versions |
|
Mathematica source code
[edit] Show[
ParametricPlot3D[
{l Cos[t], l Sin[t], t},
{t, -2 \[Pi], 2 \[Pi]}, {l, 0, 10},
ColorFunction -> (Directive[Hue[0.8*#4],
Opacity[If[#5 < 0.8, 1, 1 - 5 (#5 - 0.8)]]] &),
PlotStyle -> {Opacity[0.8], Specularity[White, 50]},
BoxRatios -> {1, 1, 1},
PerformanceGoal -> "Quality",
PlotPoints -> 100,
Boxed -> False,
Ticks -> {Automatic, Automatic, Table[i \[Pi], {i, -2, 2}]},
ImageSize -> 600,
AxesLabel -> {\[GothicCapitalR], \[GothicCapitalI], Arg[z]},
MeshFunctions -> {If[Abs[#4] < \[Pi], #5, 0] &},
MeshStyle -> {Red}
],
ParametricPlot3D[
Table[{l Cos[t], l Sin[t], t}, {t, -2 \[Pi], 2 \[Pi], \[Pi]/8}],
{l, 0, 10},
ColorFunction -> (Directive[
Opacity[If[#4 < 0.8, 1, 1 - 5 (#4 - 0.8)]]] &),
PlotStyle -> Directive[Thin]
],
ParametricPlot3D[
{{-l, 0, -\[Pi] + 0.05}, {-l, 0, \[Pi] + 0.05}},
{l, 0, 10},
PlotStyle -> Directive[Thickness[0.01], Red]
]
]
Licensing
[edit]Public domainPublic domainfalsefalse |
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
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 00:44, 11 February 2009 | 600 × 596 (72 KB) | Kan8eDie (talk | contribs) | {{Information |Description={{en|1=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. {{mathema |
You cannot overwrite this file.
File usage on Commons
The following 2 pages use this file:
File usage on other wikis
The following other wikis use this file:
- Usage on en.wikibooks.org
- Usage on fr.wikipedia.org
- Usage on pl.wikipedia.org