File:As wiki lgm parab.svg

Original file(SVG file, nominally 512 × 414 pixels, file size: 726 KB)

Summary

Description
English: Graph of a paraboloid, its level sets and two line constraints.
Date (UTC)
Source This file was derived from: As wiki lgm parab.png

 This diagram was created with MATLAB.
Author

 This is a retouched picture, which means that it has been digitally altered from its original version. Modifications: Vector version. The original can be viewed here: As wiki lgm parab.png. Modifications made by Zerodamage.

Licensing

 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 attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work). share alike – If you alter, transform, or build upon this work, you may distribute the resulting work only under the same or similar license to this one.

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','+');

plot2svg;
```

This image is a derivative work of the following images:

• 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

File history

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

Date/TimeThumbnailDimensionsUserComment
current10:05, 8 August 2012512 × 414 (726 KB)Zerodamage (talk | contribs)Layers, margins, scale bottom layer
09:53, 8 August 2012512 × 384 (743 KB)Zerodamage (talk | contribs)== {{int:filedesc}} == {{Information |Description={{en|1=Graph of a paraboloid, its level sets and two line constraints.}} |Source={{Derived from|As_wiki_lgm_parab.png|display=50}} |Date=2012-08-08 09:52 (UTC) |Author=*File:As_wiki_lgm_parab.png:...
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File usage on other wikis

The following other wikis use this file:

• Usage on en.wikipedia.org
• Usage on pt.wikiversity.org