File:Directional derivative contour plot.svg

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

Summary

Description
English: This plot shows the gradient, , and scaled by the directional derivative in the direction of of 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.

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24 October 2013

165,462 byte

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9804854e089017e5405b53e8c6b871219d209dee

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Date/TimeThumbnailDimensionsUserComment
current02:11, 30 June 2014Thumbnail for version as of 02:11, 30 June 2014530 × 525 (162 KB)InverseHypercubefixing error
22:17, 24 October 2013Thumbnail for version as of 22:17, 24 October 2013530 × 525 (162 KB)InverseHypercubeUser created page with UploadWizard

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