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
| DescriptionAs wiki lgm parab.svg |
English: Graph of a paraboloid, its level sets and two line constraints. |
| Date | |
| Source | Own work based on: As wiki lgm parab.png by Andrebis |
| Author |
Vector: |
| SVG development InfoField |
Licensing
Zerodamage, the copyright holder of this work, hereby publishes it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
Attribution:
- 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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depicts
8 August 2012
image/svg+xml
5df5572eb4d39faea48b831b8cddab367a3172bb
743,033 byte
414 pixel
512 pixel
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 12:05, 8 August 2012 | 512 × 414 (726 KB) | wikimediacommons>Zerodamage | Layers, margins, scale bottom layer |
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