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270 lines
6.7 KiB
XML
270 lines
6.7 KiB
XML
<?xml version="1.0"?>
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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "mathml.dtd"
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[
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<!ENTITY vec "→">
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<!ENTITY partial "∂">
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]>
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<html xmlns="http://www.w3.org/1999/xhtml">
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<!--
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* The contents of this file are subject to the Mozilla Public
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* License Version 1.1 (the "License"); you may not use this file
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* except in compliance with the License. You may obtain a copy of
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* the License at http://www.mozilla.org/MPL/
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*
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* Software distributed under the License is distributed on an "AS
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* IS" basis, WITHOUT WARRANTY OF ANY KIND, either express or
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* implied. See the License for the specific language governing
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* rights and limitations under the 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 The University of
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* Queensland. Portions created by The University of Queensland are
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* Copyright (C) 1999 The University of Queensland. All
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* 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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<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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<p 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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<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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<mo stretchy='true'>&vec;</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>&partial;</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'>&vec;</mo>
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</munderover>
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</mrow>
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<mrow>
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<mo>&partial;</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'>&vec;</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'>&vec;</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'>&vec;</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>&partial;</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'>&vec;</mo>
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</munderover>
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</mrow>
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<mrow>
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<mo>&partial;</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'>&vec;</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'>&vec;</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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<p 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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