File:Diagram of the real branches of the Lambert W function.png

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Diagram_of_the_real_branches_of_the_Lambert_W_function.png (800 × 600 pixels, file size: 23 KB, MIME type: image/png)

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Summary

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Description
English: The two real branches and of the Lambert W function.
Deutsch: Die zwei reellen Zweige und der Lambert W function.
Date
Source Own work
Author Stephan Kulla (User:Stephan Kulla)

Licensing

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I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution
This file is licensed under the Creative Commons Attribution 3.0 Unported license.
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 license, 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.

Source code

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This plot was created with Matplotlib.

This diagram was created with NumPy and matplotlib. 

import pylab

from scipy.special import lambertw
from numpy import e, arange, append

pylab.axhline(color="black")
pylab.axvline(color="black")

pylab.grid()

# plot first branch of lambert w function

domain1 = arange(-1/e+0.0000001, 3.001, 0.01)

pylab.plot(domain1, lambertw(domain1, 0), color="blue")
pylab.text(0.2,0.4,"$W_0$", color="blue")

# plot second branch of lambert w function

domain2 = arange(-1/e+0.0000001, -0.02, 0.0001)

pylab.plot(domain2, lambertw(domain2, -1), color="green")
pylab.text(-0.3,-4.5,"$W_{-1}$", color="green")

pylab.savefig("lambertw.png")

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Date/TimeThumbnailDimensionsUserComment
current15:22, 7 January 2013Thumbnail for version as of 15:22, 7 January 2013800 × 600 (23 KB)Stephan Kulla (talk | contribs)User created page with UploadWizard

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