File:Directional derivative contour plot.svg

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    Original file (SVG file, nominally 530 × 525 pixels, file size: 162 KB)

    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: This plot shows the gradient, ĵ, and ĵ scaled by the directional derivative in the direction of ĵ of f(x,y)=x2+y2 at (−5, 5).

    Source code

    Created with the following Sage code, and later edited in Inkscape: 

    (contour_plot(x^2 + y^2, (x, -20, 0), (y, 0, 20), contours=range(50, 850, 50), cmap='summer') + point((-5, 5), color='red', size=15, zorder=4) +
arrow([-5, 5], [-15, 15], zorder=2) + arrow([-5, 5], [-5, 15], zorder=2, color='darkorange') + arrow([-5, 5], [-5, 6], zorder=3, color='darkgreen') +
text(r'$\nabla_\mathbf{u} f(-5, 5)$', (-12.5, 9.5), fontsize=14) + text(r'$\mathbf{u}$', (-4.3, 5.5), color='darkgreen', fontsize=14) +
text(r'$\mathbf{u}\nabla_\mathbf{u} f(-5, 5)$', (-2.3, 11.5), color='darkorange', fontsize=14))
    Date
    Source Own work
    Author Eviatar Bach
    SVG development
    InfoField
     This image was created with Sage.
     and with Inkscape.

    Licensing

    Eviatar Bach, the copyright holder of this work, hereby publishes it under the following licenses:
    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.

    Public domain This work has been released into the public domain by its author, Eviatar Bach. This applies worldwide.
    In some countries this may not be legally possible; if so:
    Eviatar Bach grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.
    You may select the license of your choice.

    Captions

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    Items portrayed in this file

    depicts

    inception

    24 October 2013

    data size

    165,462 byte

    media type

    image/svg+xml

    checksum

    9804854e089017e5405b53e8c6b871219d209dee

    determination method or standard: SHA-1

    File history

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

    Date/TimeThumbnailDimensionsUserComment
    current04:11, 30 June 2014Thumbnail for version as of 04:11, 30 June 2014530 × 525 (162 KB)wikimediacommons>InverseHypercubefixing error

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