File:As wiki lgm parab.svg

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Original file(SVG file, nominally 512 × 414 pixels, file size: 726 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: Graph of a paraboloid, its level sets and two line constraints.
Date
Source This file was derived from: As wiki lgm parab.png
Author
Vector:
SVG development
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The SVG code is valid.
 
This drawing was created with MATLAB.
 
 This drawing uses embedded text that can be easily translated using a text editor.

Licensing

w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 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.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

Source code

The graph was made in Matlab with the following source code. Corrected in Inkscape

% draw paraboloid level sets with lwo line constraints

parab = '(2*x)^2 + (3*y)^2 + 10';

l1_slope = 1.5;
l1_b = -1;

l2_slope = -1/l1_slope;
l2_b = l1_b-3;

figure (1);

hold off;
surface = ezsurf(parab);

hold on;
ezplot(['-y + ' num2str(l1_slope) '*x +' num2str(l1_b)]);
ezplot(['-y + ' num2str(l2_slope) '*x +' num2str(l2_b)]);
ezcontour(parab, 30);
set(gcf, 'Color', 'White');
title('');

%bug workaround to make Z-axis appear
set(surface,'MarkerEdgeColor','none');
set(surface,'Marker','+');

%set shading
shading flat;

%plot2svg must be retrieved from http://www.zhinst.com/blogs/schwizer/
plot2svg;

Original upload log

This image is a derivative work of the following images:

  • As wiki lgm parab.png licensed with PD-self
    • 2010-05-25T19:03:37Z Andrebis 560x420 (39342 Bytes) {{Information |Description={{en|1=Graph of a paraboloid, its level sets and two line constraints.}} |Source={{own}} |Author=[[User:Andrebis|Andrebis]] |Date=2010-05-25 |Permission= |other_versions= }} Useful for visualizing t

Uploaded with derivativeFX

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Items portrayed in this file

depicts

8 August 2012

image/svg+xml

5df5572eb4d39faea48b831b8cddab367a3172bb

743,033 byte

414 pixel

512 pixel

File history

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Date/TimeThumbnailDimensionsUserComment
current11:05, 8 August 2012Thumbnail for version as of 11:05, 8 August 2012512 × 414 (726 KB)wikimediacommons>ZerodamageLayers, margins, scale bottom layer

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