layout/mathml/tests/maxwell.xml

   1 <?xml version="1.0"?>
   2 <!-- ***** BEGIN LICENSE BLOCK *****
   3    - Version: MPL 1.1/GPL 2.0/LGPL 2.1
   4    -
   5    - The contents of this file are subject to the Mozilla Public License Version
   6    - 1.1 (the "License"); you may not use this file except in compliance with
   7    - the License. You may obtain a copy of the License at
   8    - http://www.mozilla.org/MPL/
   9    -
  10    - Software distributed under the License is distributed on an "AS IS" basis,
  11    - WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License
  12    - for the specific language governing rights and limitations under the
  13    - License.
  14    -
  15    - The Original Code is Mozilla MathML Project.
  16    -
  17    - The Initial Developer of the Original Code is
  18    - The University of Queensland.
  19    - Portions created by the Initial Developer are Copyright (C) 1999
  20    - the Initial Developer. All Rights Reserved.
  21    -
  22    - Contributor(s):
  23    -   Robert Miner <rminer@geomtech.com>
  24    -
  25    - Alternatively, the contents of this file may be used under the terms of
  26    - either the GNU General Public License Version 2 or later (the "GPL"), or
  27    - the GNU Lesser General Public License Version 2.1 or later (the "LGPL"),
  28    - in which case the provisions of the GPL or the LGPL are applicable instead
  29    - of those above. If you wish to allow use of your version of this file only
  30    - under the terms of either the GPL or the LGPL, and not to allow others to
  31    - use your version of this file under the terms of the MPL, indicate your
  32    - decision by deleting the provisions above and replace them with the notice
  33    - and other provisions required by the LGPL or the GPL. If you do not delete
  34    - the provisions above, a recipient may use your version of this file under
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  37    - ***** END LICENSE BLOCK ***** -->
  38
  39 <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN"
  40                "http://www.w3.org/TR/MathML2/dtd/xhtml-math11-f.dtd" [
  41   <!ENTITY mathml "http://www.w3.org/1998/Math/MathML">
  42   <!ENTITY vec "&RightArrow;">
  43   <!ENTITY partial "&PartialD;">
  44 ]>
  45 <html xmlns="http://www.w3.org/1999/xhtml">
  46
  47 <head>
  48   <title>Maxwell's Equations</title>
  49 </head>
  50
  51 <body style="background-color: #ffffff">
  52 <h2>Maxwell's Equations</h2>
  53
  54 <p align='center'>
  55 <math xmlns='&mathml;'>
  56   <mstyle displaystyle='true'>
  57     <mrow>
  58       <mo>&lbrace;</mo>
  59       <mtable columnalign='right center left' equalrows='false' equalcolumns='false'>
  60         <mtr>
  61           <mtd>
  62             <mrow>
  63               <mo>&nabla;</mo>
  64               <mo>&times;</mo>
  65               <munderover accent='true'>
  66                 <mstyle fontweight='bold'>
  67                   <mi>B</mi>
  68                 </mstyle>
  69                 <mrow></mrow>
  70                 <mo stretchy='true'>&vec;</mo>
  71               </munderover>
  72               <mo>-</mo>
  73               <mfrac>
  74                 <mn>1</mn>
  75                 <mi>c</mi>
  76               </mfrac>
  77               <mfrac>
  78                 <mrow>
  79                   <mo>&partial;</mo>
  80                   <munderover accent='true'>
  81                     <mstyle fontweight='bold'>
  82                       <mi>E</mi>
  83                     </mstyle>
  84                     <mrow></mrow>
  85                     <mo stretchy='true'>&vec;</mo>
  86                   </munderover>
  87                 </mrow>
  88                 <mrow>
  89                   <mo>&partial;</mo>
  90                   <mi>t</mi>
  91                 </mrow>
  92               </mfrac>
  93             </mrow>
  94           </mtd>
  95           <mtd>
  96             <mo>=</mo>
  97           </mtd>
  98           <mtd>
  99             <mrow>
 100               <mfrac>
 101                 <mrow>
 102                   <mn>4</mn>
 103                   <mi>&pi;</mi>
 104                 </mrow>
 105                 <mi>c</mi>
 106               </mfrac>
 107               <munderover accent='true'>
 108                 <mstyle fontweight='bold'>
 109                   <mi>j</mi>
 110                 </mstyle>
 111                 <mrow></mrow>
 112                 <mo stretchy='true'>&vec;</mo>
 113               </munderover>
 114             </mrow>
 115           </mtd>
 116         </mtr>
 117         <mtr>
 118           <mtd>
 119             <mrow>
 120               <mo>&nabla;</mo>
 121               <mo>&cdot;</mo>
 122               <munderover accent='true'>
 123                 <mstyle fontweight='bold'>
 124                   <mi>E</mi>
 125                 </mstyle>
 126                 <mrow></mrow>
 127                 <mo stretchy='true'>&vec;</mo>
 128               </munderover>
 129             </mrow>
 130           </mtd>
 131           <mtd>
 132             <mo>=</mo>
 133           </mtd>
 134           <mtd>
 135             <mrow>
 136               <mn>4</mn>
 137               <mi>&pi;</mi>
 138               <mi>&rho;</mi>
 139             </mrow>
 140           </mtd>
 141         </mtr>
 142         <mtr>
 143           <mtd>
 144             <mrow>
 145               <mo>&nabla;</mo>
 146               <mo>&times;</mo>
 147               <munderover accent='true'>
 148                 <mstyle fontweight='bold'>
 149                   <mi>E</mi>
 150                 </mstyle>
 151                 <mrow></mrow>
 152                 <mo stretchy='true'>&vec;</mo>
 153               </munderover>
 154               <mo>+</mo>
 155               <mfrac>
 156                 <mn>1</mn>
 157                 <mi>c</mi>
 158               </mfrac>
 159               <mfrac>
 160                 <mrow>
 161                   <mo>&partial;</mo>
 162                   <munderover accent='true'>
 163                     <mstyle fontweight='bold'>
 164                       <mi>B</mi>
 165                     </mstyle>
 166                     <mrow></mrow>
 167                     <mo stretchy='true'>&vec;</mo>
 168                   </munderover>
 169                 </mrow>
 170                 <mrow>
 171                   <mo>&partial;</mo>
 172                   <mi>t</mi>
 173                 </mrow>
 174               </mfrac>
 175             </mrow>
 176           </mtd>
 177           <mtd>
 178             <mo>=</mo>
 179           </mtd>
 180           <mtd>
 181             <munderover accent='true'>
 182               <mstyle fontweight='bold'>
 183                 <mn>0</mn>
 184               </mstyle>
 185               <mrow></mrow>
 186               <mo stretchy='true'>&vec;</mo>
 187             </munderover>
 188           </mtd>
 189         </mtr>
 190         <mtr>
 191           <mtd>
 192             <mrow>
 193               <mo>&nabla;</mo>
 194               <mo>&cdot;</mo>
 195               <munderover accent='true'>
 196                 <mstyle fontweight='bold'>
 197                   <mi>B</mi>
 198                 </mstyle>
 199                 <mrow></mrow>
 200                 <mo stretchy='true'>&vec;</mo>
 201               </munderover>
 202             </mrow>
 203           </mtd>
 204           <mtd>
 205             <mo>=</mo>
 206           </mtd>
 207           <mtd>
 208             <mn>0</mn>
 209           </mtd>
 210         </mtr>
 211       </mtable>
 212     </mrow>
 213   </mstyle>
 214 </math>
 215 </p>
 216
 217 <h2>Einstein's field equations</h2>
 218
 219 <p align='center'>
 220 <math xmlns='&mathml;'>
 221   <mstyle displaystyle='true'>
 222     <mrow>
 223       <msubsup>
 224         <mstyle fontstyle='normal'>
 225           <mi>R</mi>
 226         </mstyle>
 227         <mstyle scriptlevel='1'>
 228           <mrow>
 229             <mi>&mu;</mi>
 230             <mi>&nu;</mi>
 231           </mrow>
 232         </mstyle>
 233         <mrow></mrow>
 234       </msubsup>
 235       <mo>-</mo>
 236       <mfrac>
 237         <mn>1</mn>
 238         <mn>2</mn>
 239       </mfrac>
 240       <msubsup>
 241         <mi>g</mi>
 242         <mstyle scriptlevel='1'>
 243           <mrow>
 244             <mi>&mu;</mi>
 245             <mi>&nu;</mi>
 246           </mrow>
 247         </mstyle>
 248         <mrow></mrow>
 249       </msubsup>
 250       <mstyle fontstyle='normal'>
 251         <mi>R</mi>
 252       </mstyle>
 253       <mo>=</mo>
 254       <mfrac>
 255         <mrow>
 256           <mn>8</mn>
 257           <mi>&pi;</mi>
 258           <mstyle fontstyle='normal'>
 259             <mi>G</mi>
 260           </mstyle>
 261         </mrow>
 262         <msubsup>
 263           <mi>c</mi>
 264           <mrow></mrow>
 265           <mn>4</mn>
 266         </msubsup>
 267       </mfrac>
 268       <msubsup>
 269         <mstyle fontstyle='normal'>
 270           <mi>T</mi>
 271         </mstyle>
 272         <mstyle scriptlevel='1'>
 273           <mrow>
 274             <mi>&mu;</mi>
 275             <mi>&nu;</mi>
 276           </mrow>
 277         </mstyle>
 278         <mrow></mrow>
 279       </msubsup>
 280     </mrow>
 281   </mstyle>
 282 </math>
 283 </p>
 284
 285 </body>
 286 </html>