278 lines
6.9 KiB
XML
278 lines
6.9 KiB
XML
<?xml version="1.0"?>
|
|
<?xml-stylesheet href="mathml.css" type="text/css"?>
|
|
<!DOCTYPE html SYSTEM "mathml.dtd"
|
|
[
|
|
<!ENTITY vec "→">
|
|
<!ENTITY partial "∂">
|
|
]>
|
|
|
|
<html
|
|
xmlns:html="http://www.w3.org/TR/REC-html40"
|
|
xmlns="http://www.w3.org/1998/Math/MathML"
|
|
>
|
|
|
|
<!--
|
|
* 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 University of Queensland are
|
|
* Copyright (C) The University of Queensland. All
|
|
* Rights Reserved.
|
|
*
|
|
* Contributor(s):
|
|
* Robert Miner <rminer@geomtech.com>
|
|
-->
|
|
|
|
<html:html>
|
|
<html:head>
|
|
<html:title>Maxwell's Equations</html:title>
|
|
</html:head>
|
|
|
|
<html:body bgcolor='#ffffff'>
|
|
<html:h2>Maxwell's Equations</html:h2>
|
|
|
|
<html:center>
|
|
|
|
<math>
|
|
<mstyle displaystyle='true'>
|
|
<mrow>
|
|
<mo>{</mo>
|
|
<mtable columnalign='right center left' equalrows='false' equalcolumns='false'>
|
|
<mtr>
|
|
<mtd>
|
|
<mrow>
|
|
<mo>∇</mo>
|
|
<mo>×</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>π</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>∇</mo>
|
|
<mo>ċ</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>π</mi>
|
|
<mi>ρ</mi>
|
|
</mrow>
|
|
</mtd>
|
|
</mtr>
|
|
<mtr>
|
|
<mtd>
|
|
<mrow>
|
|
<mo>∇</mo>
|
|
<mo>×</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>∇</mo>
|
|
<mo>ċ</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>
|
|
</html:center>
|
|
|
|
<html:h2>Einstein's field equations</html:h2>
|
|
|
|
<html:center>
|
|
<math>
|
|
<mstyle displaystyle='true'>
|
|
<mrow>
|
|
<msubsup>
|
|
<mstyle fontstyle='normal'>
|
|
<mi>R</mi>
|
|
</mstyle>
|
|
<mstyle scriptlevel='1'>
|
|
<mrow>
|
|
<mi>μ</mi>
|
|
<mi>ν</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>μ</mi>
|
|
<mi>ν</mi>
|
|
</mrow>
|
|
</mstyle>
|
|
<mrow></mrow>
|
|
</msubsup>
|
|
<mstyle fontstyle='normal'>
|
|
<mi>R</mi>
|
|
</mstyle>
|
|
<mo>=</mo>
|
|
<mfrac>
|
|
<mrow>
|
|
<mn>8</mn>
|
|
<mi>π</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>μ</mi>
|
|
<mi>ν</mi>
|
|
</mrow>
|
|
</mstyle>
|
|
<mrow></mrow>
|
|
</msubsup>
|
|
</mrow>
|
|
</mstyle>
|
|
</math>
|
|
</html:center>
|
|
|
|
</html:body>
|
|
</html:html>
|