2007-03-22 10:30:00 -07:00
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<?xml version="1.0"?>
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<!-- ***** BEGIN LICENSE BLOCK *****
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- Version: MPL 1.1/GPL 2.0/LGPL 2.1
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-
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- The contents of this file are subject to the Mozilla Public License Version
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- 1.1 (the "License"); you may not use this file except in compliance with
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- the License. You may obtain a copy of the License at
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- http://www.mozilla.org/MPL/
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-
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- Software distributed under the License is distributed on an "AS IS" basis,
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- WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License
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- for the specific language governing rights and limitations under the
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- License.
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-
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- The Original Code is Mozilla MathML Project.
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-
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- The Initial Developer of the Original Code is
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- The University of Queensland.
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- Portions created by the Initial Developer are Copyright (C) 1999
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- the Initial Developer. All Rights Reserved.
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-
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- Contributor(s):
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- Robert Miner <rminer@geomtech.com>
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-
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- Alternatively, the contents of this file may be used under the terms of
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- either the GNU General Public License Version 2 or later (the "GPL"), or
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- the GNU Lesser General Public License Version 2.1 or later (the "LGPL"),
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- in which case the provisions of the GPL or the LGPL are applicable instead
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- of those above. If you wish to allow use of your version of this file only
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- under the terms of either the GPL or the LGPL, and not to allow others to
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- use your version of this file under the terms of the MPL, indicate your
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- decision by deleting the provisions above and replace them with the notice
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- and other provisions required by the LGPL or the GPL. If you do not delete
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- the provisions above, a recipient may use your version of this file under
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- the terms of any one of the MPL, the GPL or the LGPL.
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-
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- ***** END LICENSE BLOCK ***** -->
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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN"
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"http://www.w3.org/TR/MathML2/dtd/xhtml-math11-f.dtd" [
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<!ENTITY mathml "http://www.w3.org/1998/Math/MathML">
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]>
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<html xmlns="http://www.w3.org/1999/xhtml">
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<head>
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<title>Maxwell's Equations</title>
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</head>
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<body style="background-color: #ffffff">
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<h2>Maxwell's Equations</h2>
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2009-09-15 19:06:39 -07:00
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<p style="text-align:center">
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2007-03-22 10:30:00 -07:00
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<math xmlns='&mathml;'>
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<mstyle displaystyle='true'>
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<mrow>
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<mo>{</mo>
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<mtable columnalign='right center left' equalrows='false' equalcolumns='false'>
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<mtr>
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<mtd>
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<mrow>
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<mo>∇</mo>
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<mo>×</mo>
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<munderover accent='true'>
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<mstyle fontweight='bold'>
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<mi>B</mi>
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</mstyle>
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<mrow></mrow>
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2009-09-15 19:06:39 -07:00
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<mo stretchy='true'>→</mo>
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</munderover>
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<mo>-</mo>
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<mfrac>
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<mn>1</mn>
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<mi>c</mi>
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</mfrac>
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<mfrac>
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<mrow>
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<mo>∂</mo>
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<munderover accent='true'>
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<mstyle fontweight='bold'>
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<mi>E</mi>
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</mstyle>
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<mrow></mrow>
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<mo stretchy='true'>→</mo>
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</munderover>
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</mrow>
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<mrow>
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<mo>∂</mo>
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<mi>t</mi>
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</mrow>
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</mfrac>
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</mrow>
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</mtd>
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<mtd>
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<mo>=</mo>
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</mtd>
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<mtd>
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<mrow>
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<mfrac>
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<mrow>
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<mn>4</mn>
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<mi>π</mi>
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</mrow>
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<mi>c</mi>
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</mfrac>
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<munderover accent='true'>
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<mstyle fontweight='bold'>
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<mi>j</mi>
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</mstyle>
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<mrow></mrow>
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<mo stretchy='true'>→</mo>
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</munderover>
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</mrow>
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</mtd>
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</mtr>
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<mtr>
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<mtd>
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<mrow>
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<mo>∇</mo>
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<mo>ċ</mo>
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<munderover accent='true'>
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<mstyle fontweight='bold'>
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<mi>E</mi>
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</mstyle>
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<mrow></mrow>
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<mo stretchy='true'>→</mo>
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</munderover>
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</mrow>
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</mtd>
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<mtd>
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<mo>=</mo>
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</mtd>
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<mtd>
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<mrow>
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<mn>4</mn>
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<mi>π</mi>
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<mi>ρ</mi>
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</mrow>
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</mtd>
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</mtr>
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<mtr>
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<mtd>
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<mrow>
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<mo>∇</mo>
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<mo>×</mo>
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<munderover accent='true'>
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<mstyle fontweight='bold'>
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<mi>E</mi>
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</mstyle>
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<mrow></mrow>
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<mo stretchy='true'>→</mo>
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</munderover>
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<mo>+</mo>
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<mfrac>
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<mn>1</mn>
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<mi>c</mi>
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</mfrac>
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<mfrac>
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<mrow>
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<mo>∂</mo>
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<munderover accent='true'>
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<mstyle fontweight='bold'>
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<mi>B</mi>
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</mstyle>
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<mrow></mrow>
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<mo stretchy='true'>→</mo>
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</munderover>
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</mrow>
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<mrow>
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<mo>∂</mo>
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<mi>t</mi>
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</mrow>
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</mfrac>
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</mrow>
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</mtd>
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<mtd>
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<mo>=</mo>
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</mtd>
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<mtd>
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<munderover accent='true'>
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<mstyle fontweight='bold'>
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<mn>0</mn>
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</mstyle>
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<mrow></mrow>
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<mo stretchy='true'>→</mo>
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</munderover>
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</mtd>
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</mtr>
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<mtr>
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<mtd>
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<mrow>
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<mo>∇</mo>
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<mo>ċ</mo>
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<munderover accent='true'>
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<mstyle fontweight='bold'>
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<mi>B</mi>
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</mstyle>
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<mrow></mrow>
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<mo stretchy='true'>→</mo>
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</munderover>
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</mrow>
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</mtd>
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<mtd>
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<mo>=</mo>
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</mtd>
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<mtd>
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<mn>0</mn>
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</mtd>
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</mtr>
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</mtable>
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</mrow>
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</mstyle>
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</math>
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</p>
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<h2>Einstein's field equations</h2>
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2009-09-15 19:06:39 -07:00
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<p style="text-align:center">
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<math xmlns='&mathml;'>
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<mstyle displaystyle='true'>
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<mrow>
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<msubsup>
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<mstyle fontstyle='normal'>
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<mi>R</mi>
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</mstyle>
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<mstyle scriptlevel='1'>
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<mrow>
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<mi>μ</mi>
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<mi>ν</mi>
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</mrow>
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</mstyle>
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<mrow></mrow>
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</msubsup>
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<mo>-</mo>
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<mfrac>
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<mn>1</mn>
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<mn>2</mn>
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</mfrac>
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<msubsup>
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<mi>g</mi>
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<mstyle scriptlevel='1'>
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<mrow>
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<mi>μ</mi>
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<mi>ν</mi>
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</mrow>
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</mstyle>
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<mrow></mrow>
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</msubsup>
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<mstyle fontstyle='normal'>
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<mi>R</mi>
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</mstyle>
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<mo>=</mo>
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<mfrac>
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<mrow>
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<mn>8</mn>
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<mi>π</mi>
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<mstyle fontstyle='normal'>
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<mi>G</mi>
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</mstyle>
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</mrow>
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<msubsup>
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<mi>c</mi>
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<mrow></mrow>
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<mn>4</mn>
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</msubsup>
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</mfrac>
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<msubsup>
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<mstyle fontstyle='normal'>
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<mi>T</mi>
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</mstyle>
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<mstyle scriptlevel='1'>
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<mrow>
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<mi>μ</mi>
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<mi>ν</mi>
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</mrow>
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</mstyle>
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<mrow></mrow>
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</msubsup>
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</mrow>
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</mstyle>
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</math>
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</p>
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</body>
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</html>
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