layout/mathml/tests/maxwell.xml
author reed@reedloden.com
Tue, 02 Oct 2007 00:39:20 -0700
changeset 6525 07ba6c2d189380f5d0b570d57eda1571459aefdc
parent 1 9b2a99adc05e53cd4010de512f50118594756650
child 32521 ddcadd5761432adf3d5f495792ab096bd4babc5d
permissions -rw-r--r--
Bug 397834 - "Clean up gfx and gfx/src makefiles" [p=xfsunoles@gmail.com (Jonathan Steele) r+sr+a1.9=roc]

<?xml version="1.0"?>
<!-- ***** BEGIN LICENSE BLOCK *****
   - Version: MPL 1.1/GPL 2.0/LGPL 2.1
   -
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   - 1.1 (the "License"); you may not use this file except in compliance with
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   -
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   - The University of Queensland.
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   - the Initial Developer. All Rights Reserved.
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   - Contributor(s):
   -   Robert Miner <rminer@geomtech.com>
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<!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>