gecko-dev/layout/mathml/tests/maxwell.xml
2004-08-25 23:02:50 +00:00

287 lines
7.8 KiB
XML

<?xml version="1.0"?>
<!-- ***** BEGIN LICENSE BLOCK *****
- Version: MPL 1.1/GPL 2.0/LGPL 2.1
-
- The contents of this file are subject to the Mozilla Public License Version
- 1.1 (the "License"); you may not use this file except in compliance with
- the License. You may obtain a copy of the License at
- http://www.mozilla.org/MPL/
-
- Software distributed under the License is distributed on an "AS IS" basis,
- WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License
- for the specific language governing rights and limitations under the
- License.
-
- The Original Code is Mozilla MathML Project.
-
- The Initial Developer of the Original Code is
- The University of Queensland.
- Portions created by the Initial Developer are Copyright (C) 1999
- the Initial Developer. All Rights Reserved.
-
- Contributor(s):
- Robert Miner <rminer@geomtech.com>
-
- Alternatively, the contents of this file may be used under the terms of
- either the GNU General Public License Version 2 or later (the "GPL"), or
- the GNU Lesser General Public License Version 2.1 or later (the "LGPL"),
- in which case the provisions of the GPL or the LGPL are applicable instead
- of those above. If you wish to allow use of your version of this file only
- under the terms of either the GPL or the LGPL, and not to allow others to
- use your version of this file under the terms of the MPL, indicate your
- decision by deleting the provisions above and replace them with the notice
- and other provisions required by the LGPL or the GPL. If you do not delete
- the provisions above, a recipient may use your version of this file under
- the terms of any one of the MPL, the GPL or the LGPL.
-
- ***** END LICENSE BLOCK ***** -->
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN"
"http://www.w3.org/TR/MathML2/dtd/xhtml-math11-f.dtd" [
<!ENTITY mathml "http://www.w3.org/1998/Math/MathML">
<!ENTITY vec "&RightArrow;">
<!ENTITY partial "&PartialD;">
]>
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<title>Maxwell's Equations</title>
</head>
<body style="background-color: #ffffff">
<h2>Maxwell's Equations</h2>
<p align='center'>
<math xmlns='&mathml;'>
<mstyle displaystyle='true'>
<mrow>
<mo>&lbrace;</mo>
<mtable columnalign='right center left' equalrows='false' equalcolumns='false'>
<mtr>
<mtd>
<mrow>
<mo>&nabla;</mo>
<mo>&times;</mo>
<munderover accent='true'>
<mstyle fontweight='bold'>
<mi>B</mi>
</mstyle>
<mrow></mrow>
<mo stretchy='true'>&vec;</mo>
</munderover>
<mo>-</mo>
<mfrac>
<mn>1</mn>
<mi>c</mi>
</mfrac>
<mfrac>
<mrow>
<mo>&partial;</mo>
<munderover accent='true'>
<mstyle fontweight='bold'>
<mi>E</mi>
</mstyle>
<mrow></mrow>
<mo stretchy='true'>&vec;</mo>
</munderover>
</mrow>
<mrow>
<mo>&partial;</mo>
<mi>t</mi>
</mrow>
</mfrac>
</mrow>
</mtd>
<mtd>
<mo>=</mo>
</mtd>
<mtd>
<mrow>
<mfrac>
<mrow>
<mn>4</mn>
<mi>&pi;</mi>
</mrow>
<mi>c</mi>
</mfrac>
<munderover accent='true'>
<mstyle fontweight='bold'>
<mi>j</mi>
</mstyle>
<mrow></mrow>
<mo stretchy='true'>&vec;</mo>
</munderover>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<mo>&nabla;</mo>
<mo>&cdot;</mo>
<munderover accent='true'>
<mstyle fontweight='bold'>
<mi>E</mi>
</mstyle>
<mrow></mrow>
<mo stretchy='true'>&vec;</mo>
</munderover>
</mrow>
</mtd>
<mtd>
<mo>=</mo>
</mtd>
<mtd>
<mrow>
<mn>4</mn>
<mi>&pi;</mi>
<mi>&rho;</mi>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<mo>&nabla;</mo>
<mo>&times;</mo>
<munderover accent='true'>
<mstyle fontweight='bold'>
<mi>E</mi>
</mstyle>
<mrow></mrow>
<mo stretchy='true'>&vec;</mo>
</munderover>
<mo>+</mo>
<mfrac>
<mn>1</mn>
<mi>c</mi>
</mfrac>
<mfrac>
<mrow>
<mo>&partial;</mo>
<munderover accent='true'>
<mstyle fontweight='bold'>
<mi>B</mi>
</mstyle>
<mrow></mrow>
<mo stretchy='true'>&vec;</mo>
</munderover>
</mrow>
<mrow>
<mo>&partial;</mo>
<mi>t</mi>
</mrow>
</mfrac>
</mrow>
</mtd>
<mtd>
<mo>=</mo>
</mtd>
<mtd>
<munderover accent='true'>
<mstyle fontweight='bold'>
<mn>0</mn>
</mstyle>
<mrow></mrow>
<mo stretchy='true'>&vec;</mo>
</munderover>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<mo>&nabla;</mo>
<mo>&cdot;</mo>
<munderover accent='true'>
<mstyle fontweight='bold'>
<mi>B</mi>
</mstyle>
<mrow></mrow>
<mo stretchy='true'>&vec;</mo>
</munderover>
</mrow>
</mtd>
<mtd>
<mo>=</mo>
</mtd>
<mtd>
<mn>0</mn>
</mtd>
</mtr>
</mtable>
</mrow>
</mstyle>
</math>
</p>
<h2>Einstein's field equations</h2>
<p align='center'>
<math xmlns='&mathml;'>
<mstyle displaystyle='true'>
<mrow>
<msubsup>
<mstyle fontstyle='normal'>
<mi>R</mi>
</mstyle>
<mstyle scriptlevel='1'>
<mrow>
<mi>&mu;</mi>
<mi>&nu;</mi>
</mrow>
</mstyle>
<mrow></mrow>
</msubsup>
<mo>-</mo>
<mfrac>
<mn>1</mn>
<mn>2</mn>
</mfrac>
<msubsup>
<mi>g</mi>
<mstyle scriptlevel='1'>
<mrow>
<mi>&mu;</mi>
<mi>&nu;</mi>
</mrow>
</mstyle>
<mrow></mrow>
</msubsup>
<mstyle fontstyle='normal'>
<mi>R</mi>
</mstyle>
<mo>=</mo>
<mfrac>
<mrow>
<mn>8</mn>
<mi>&pi;</mi>
<mstyle fontstyle='normal'>
<mi>G</mi>
</mstyle>
</mrow>
<msubsup>
<mi>c</mi>
<mrow></mrow>
<mn>4</mn>
</msubsup>
</mfrac>
<msubsup>
<mstyle fontstyle='normal'>
<mi>T</mi>
</mstyle>
<mstyle scriptlevel='1'>
<mrow>
<mi>&mu;</mi>
<mi>&nu;</mi>
</mrow>
</mstyle>
<mrow></mrow>
</msubsup>
</mrow>
</mstyle>
</math>
</p>
</body>
</html>