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

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

Summary

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

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
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Source code

 
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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7 January 2013

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