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File:Plot of Lambert W function of x exp x.svg

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    Original file (SVG file, nominally 419 × 421 pixels, file size: 30 KB)

    Summary

    Description
    English: Plot of W0(xex) and W−1(xex) for −3≤x≤3, where W0 and W−1 are the branches of the Lambert W function.
    Date
    Source Own work
    Author Hugo Spinelli
    Source code
    InfoField
    		Try it here (permalink).
    SageMath code 
    var('x')
x_min, x_max = -3, 3
x_max2 = N(lambert_w(0, x_min*exp(x_min)))

f1 = lambda x: lambert_w(0, x*exp(x))
f2 = lambda x: lambert_w(-1, x*exp(x))

p = plot(f1, (x_min, x_max), thickness=2, color='blue', legend_label=r'$y = W_0(xe^x)$')
p += plot(f2, (x_min, x_max2), thickness=2, color='red', legend_label=r'$y = W_{-1}(xe^x)$')
config = dict(aspect_ratio=1, axes_labels=['$x$', '$y$'], legend_font_size=16)
show(p, **config)
p.save('Plot_of_Lambert_W_function_of_x_exp_x.svg', **config)

    Licensing

    I, the copyright holder of this work, hereby publish it under the following license:
    Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
    The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

    Captions

    Plot of the Lambert W function of x exp x for each branch.

    Items portrayed in this file

    depicts

    Lambert W function

    inception

    28 September 2023

    data size

    30,648 byte

    media type

    image/svg+xml

    checksum

    c3dc36d224aa6adb79c8371e283dec841e1b5503

    determination method or standard: SHA-1

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

    Date/TimeThumbnailDimensionsUserComment
    current06:09, 28 September 2023Thumbnail for version as of 06:09, 28 September 2023419 × 421 (30 KB)Hugo SpinelliUploaded own work with UploadWizard

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