File:Gamma abs 3D.png

From Vigyanwiki

Original file(1,280 × 1,000 pixels, file size: 453 KB, MIME type: image/png)

This file is from Wikimedia Commons and may be used by other projects. The description on its file description page there is shown below.

Summary

Description

English: 3-dimensional plot of the absolute value of the complex gamma function
Date
Source Own work
Author Geek3
Mathematical Function Plot
Description Plot of gamma(z)
Equation
Coordinate System Cartesian
X Range -4.5 .. 5
Y Range -5 .. 5
Z Range 0 .. 6

Source Code

 This diagram was created with Mathematica
Plot3D[Abs[Gamma[x + I y]], {x, -4.5, 5}, {y, -5, 5},
  PlotPoints -> 400, PlotRange -> {0, 6}, ViewPoint -> {-2, -2.5, 1},
  Boxed -> False, BoxRatios -> Automatic, 
  AxesEdge -> {{-1, -1}, {-1, -1}, {1, -1}},
  Mesh -> {9, 9, 5}, MeshStyle -> {Black, Black, Opacity[0.4]},
  MeshFunctions -> {Min[#1, 2*(#1 + 2)] &, #2 &, #3 &},
  RegionFunction -> Function[{x, y, z}, Abs[Gamma[x + I y]] <= 6],
  AxesLabel -> {Re[z], Im[z]}, PlotLabel -> Style[Abs[Gamma[z]], 20]]

Licensing

I, the copyright holder of this work, hereby publish it under the following licences:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported licence.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the licence, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible licence as the original.
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation Licence, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the licence is included in the section entitled GNU Free Documentation Licence.
You may select the licence of your choice.

Captions

Add a one-line explanation of what this file represents
3-dimensional plot of the absolute value of the complex gamma function

Items portrayed in this file

depicts

463,716 byte

1,000 pixel

1,280 pixel

image/png

3f2001af53923473cac627ef7f1e89f8dc12c167

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current04:53, 8 November 2008Thumbnail for version as of 04:53, 8 November 20081,280 × 1,000 (453 KB)wikimediacommons>Geek3== Summary == {{Information |Description= <math>|\Gamma(x + iy)|</math> {{en|1 = 3-dimensional plot of the absolute value of the complex gamma function}} |Source = Own work by uploader |Date = 2008 |Author = Geek3 |Permission = |other_vers