зеркало из https://github.com/mozilla/pjs.git
1032 строки
20 KiB
XML
1032 строки
20 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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<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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* Roger B. Sidje <rbs@maths.uq.edu.au>
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-->
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<head>
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<title>Various examples of MathML</title>
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</head>
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<body>
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Click to toggle between expressions, and watch the satus line onmouseover/onmouseout:
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<br />
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<math mode="display" xmlns="&mathml;">
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<maction actiontype="toggle">
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<maction actiontype="statusline#First Expression">
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<mi>statusline#First Expression</mi>
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</maction>
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<maction actiontype="statusline#Second Expression">
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<mi>statusline#Second Expression</mi>
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</maction>
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<maction actiontype="statusline#And so on..">
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<maction actiontype="restyle#background">
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<mi>statusline#And so on...</mi>
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</maction>
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</maction>
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</maction>
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</math>
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<br />
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Click the expression below to zoom-in/zoom-out using RESTYLE:
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<br />
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<math mode="display" xmlns="&mathml;">
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<maction actiontype="restyle#zoom">
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<mrow>
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<mi>π</mi>
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<mo>=</mo>
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<mn>2</mn><mi>i</mi>
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<mo>⁢</mo>
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<mo>Log</mo>
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<mfrac>
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<mrow><mn>1</mn><mo>-</mo><mi>i</mi></mrow>
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<mrow><mn>1</mn><mo>+</mo><mi>i</mi></mrow>
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</mfrac>
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</mrow>
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</maction>
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</math>
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<br />
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Click the expression below to see several definitions of pi:
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<br />
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<math mode="display" xmlns="&mathml;">
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<mrow>
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<maction actiontype="toggle">
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<mrow>
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<mi>π</mi>
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<mo>=</mo>
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<mn>3.14159265358</mn><mo fontweight="bold">...</mo>
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</mrow>
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<mrow>
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<mi>π</mi>
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<mo>=</mo>
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<mn>2</mn><mi>i</mi>
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<mo>⁢</mo>
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<mo>Log</mo>
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<mfrac>
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<mrow><mn>1</mn><mo>-</mo><mi>i</mi></mrow>
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<mrow><mn>1</mn><mo>+</mo><mi>i</mi></mrow>
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</mfrac>
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</mrow>
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<mrow>
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<mi>π</mi>
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<mo>=</mo>
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<mn>2</mn>
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<mphantom><mo>.</mo></mphantom>
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<mfrac>
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<mn>2</mn>
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<msqrt>
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<mn>2</mn>
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</msqrt>
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</mfrac>
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<mphantom><mo>.</mo></mphantom>
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<mfrac>
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<mn>2</mn>
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<msqrt>
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<mn>2</mn>
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<mo>+</mo>
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<msqrt>
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<mn>2</mn>
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</msqrt>
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</msqrt>
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</mfrac>
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<mphantom><mo>.</mo></mphantom>
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<mfrac>
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<mn>2</mn>
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<msqrt>
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<mn>2</mn>
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<mo>+</mo>
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<msqrt>
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<mn>2</mn>
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<mo>+</mo>
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<msqrt>
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<mn>2</mn>
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</msqrt>
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</msqrt>
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</msqrt>
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</mfrac>
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<mo fontweight="bold">...</mo>
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</mrow>
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<mrow>
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<mfrac>
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<mi>π</mi>
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<mn>4</mn>
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</mfrac>
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<mo>=</mo>
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<mfrac>
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<mstyle scriptlevel="0">
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<mn>1</mn>
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</mstyle>
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<mstyle scriptlevel="0">
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<mrow>
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<mn>2</mn>
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<mo>+</mo>
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<mfrac>
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<mstyle scriptlevel="0">
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<msup><mn>1</mn><mn>2</mn></msup>
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</mstyle>
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<mstyle scriptlevel="0">
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<mrow>
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<mn>2</mn>
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<mo>+</mo>
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<mfrac>
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<mstyle scriptlevel="0">
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<msup><mn>3</mn><mn>2</mn></msup>
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</mstyle>
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<mstyle scriptlevel="0">
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<mrow>
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<mn>2</mn>
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<mo>+</mo>
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<mfrac>
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<mstyle scriptlevel="0">
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<msup><mn>5</mn><mn>2</mn></msup>
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</mstyle>
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<mstyle scriptlevel="0">
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<mrow>
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<mn>2</mn>
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<mo>+</mo>
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<mfrac>
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<mstyle scriptlevel="0">
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<msup><mn>7</mn><mn>2</mn></msup>
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</mstyle>
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<mstyle scriptlevel="0">
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<mn>2</mn><mo>+</mo><mo fontweight="bold">...</mo>
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</mstyle>
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</mfrac>
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</mrow>
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</mstyle>
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</mfrac>
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</mrow>
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</mstyle>
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</mfrac>
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</mrow>
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</mstyle>
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</mfrac>
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</mrow>
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</mstyle>
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</mfrac>
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</mrow>
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</maction>
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</mrow>
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</math>
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<br />
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<math xmlns="&mathml;">
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<!-- {{} \atop i} A {p \atop q} -->
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<mmultiscripts>
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<mi fontweight="bold" fontsize="large">A</mi>
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<mi>q</mi><mi>p</mi>
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<mprescripts/>
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<mi>i</mi><none/>
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</mmultiscripts>
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<br />
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<!-- {3 \atop k} R {1 \atop i} {2 \atop j} -->
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<mmultiscripts>
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<mi fontweight="bold">R</mi>
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<mi>i</mi><mi>1</mi>
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<mi>j</mi><mn>230</mn>
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<mi>j</mi><msup><mn>230</mn><mi>y</mi></msup>
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<mi>j</mi><mn>230</mn>
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<mprescripts/>
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<mi>k</mi><mi>3</mi>
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<mi>k</mi><mi>3</mi>
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</mmultiscripts>
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<!-- \int_a^b f(x)dx -->
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<msubsup>
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<mo>∫</mo>
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<mi>a</mi>
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<mi>b</mi>
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</msubsup>
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<mrow>
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<mi>f</mi>
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<mo>(</mo>
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<mi>x</mi>
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<mo>)</mo>
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<mo>d</mo>
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<mi>x</mi>
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</mrow>
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<!-- \frac{\partial}{\partial x}F(x,y) + \frac{\partial}{\partial y}F(x,y) -->
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<mrow>
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<mfrac>
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<mo>∂</mo>
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<mrow>
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<mo>∂</mo>
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<mi>x</mi>
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</mrow>
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</mfrac>
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<mrow>
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<mi>F</mi>
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<mo>(</mo>
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<mi>x</mi>
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<mo>,</mo>
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<mi>y</mi>
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<mo>)</mo>
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</mrow>
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<mo>+</mo>
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<mfrac>
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<mo>∂</mo>
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<mrow>
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<mo>∂</mo>
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<mi>y</mi>
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</mrow>
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</mfrac>
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<mrow>
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<mi>F</mi>
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<mo>(</mo>
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<mi>x</mi>
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<mo>,</mo>
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<mi>y</mi>
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<mo>)</mo>
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</mrow>
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</mrow>
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<mo>∃</mo>
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<mi>a</mi>
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<!-- a_b -->
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<msub>
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<mi>a</mi>
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<mi>b</mi>
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</msub>
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<!-- a_i -->
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<msub>
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<mi>a</mi>
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<mi>i</mi>
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</msub>
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<!-- A_{I_{k}} -->
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<mrow>
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<mi>A</mi>
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<mi>A</mi>
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</mrow>
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<msub>
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<mi>A</mi>
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<msub>
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<mi>A</mi>
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<msub>
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<mi>A</mi>
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<mi>A</mi>
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</msub>
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</msub>
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</msub>
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<!-- d^b -->
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<msup>
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<mi>d</mi>
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<mi>b</mi>
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</msup>
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<!-- 2^{a_x} -->
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<msup>
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<mn>2</mn>
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<msub>
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<mi>a</mi>
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<mi>x</mi>
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</msub>
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</msup>
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<!-- 2^{2^x} -->
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<msup>
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<msup>
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<mn>2</mn>
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<mn>2</mn>
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</msup>
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<mi>x</mi>
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</msup>
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<!-- {\left( \frac{1}{2} \right) }^{y^{a_x}} -->
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<msup>
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<mrow>
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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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<mo>)</mo>
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</mrow>
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<msup>
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<mi>y</mi>
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<msub>
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<mi>a</mi>
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<mi>x</mi>
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</msub>
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</msup>
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</msup>
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<munder>
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<mi>abcd</mi>
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<mi>un</mi>
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</munder>
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<mover>
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<mi>abcd</mi>
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<mi>ov</mi>
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</mover>
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<munderover>
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<mi>abcd</mi>
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<mi>under</mi>
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<mi>over</mi>
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</munderover>
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<!-- a_b^c -->
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<msubsup>
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<mi>a</mi>
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<mi>p</mi>
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<mi>q</mi>
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</msubsup>
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<!-- a_{b+c}^x -->
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<msubsup>
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<mi>a</mi>
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<mrow>
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<mi>a</mi>
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<mo>+</mo>
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<mi>b</mi>
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</mrow>
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<mi>x</mi>
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</msubsup>
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<!-- d^{ \left( \frac{a}{b} \right) } -->
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<msup>
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<mi>d</mi>
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<mrow>
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<mo>(</mo>
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<mfrac>
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<mi>a</mi>
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<mi>b</mi>
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</mfrac>
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<mo>)</mo>
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</mrow>
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</msup>
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<!-- \frac{d*b^{ \left( \frac{i+j}{n!} \right) } + p_y*q}
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{p^x*b_x + \frac{a+c}{d}} -->
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<mfrac>
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<mrow>
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<mi>d</mi>
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<mo>*</mo>
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<msup>
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<mi>T</mi>
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<mrow>
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<mo>(</mo>
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<mfrac>
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<mrow>
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<mi>i</mi>
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<mo>+</mo>
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<mi>j</mi>
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</mrow>
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<mi>n</mi>
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</mfrac>
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<mo>)</mo>
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</mrow>
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</msup>
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<mo>+</mo>
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<msub>
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<mi>p</mi>
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<mi>y</mi>
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</msub>
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<mo>*</mo>
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<mi>q</mi>
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</mrow>
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<mrow>
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<msup>
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<mi>p</mi>
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<mi>x</mi>
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</msup>
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<mo>*</mo>
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<msub>
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<mi>b</mi>
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<mi>x</mi>
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</msub>
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<mo>+</mo>
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<mfrac>
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<mrow>
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<mi>a</mi>
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<mo>+</mo>
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<mi>c</mi>
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</mrow>
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<mi>d</mi>
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</mfrac>
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</mrow>
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</mfrac>
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<ms>This is a text in ms</ms>
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<!-- x^2 + 4*x + \frac{p}{q} = 0 -->
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<mrow>
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<mrow>
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<msup>
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<mi>x</mi>
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<mn>2</mn>
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</msup>
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<mo>+</mo>
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<mrow>
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<mn>4</mn>
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<mo>*</mo>
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<mi>x</mi>
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</mrow>
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<mo>+</mo>
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<mfrac>
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<mi>p</mi>
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<mi>q</mi>
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</mfrac>
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</mrow>
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<mo>=</mo>
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<mn>0</mn>
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</mrow>
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<mtext>This is a text in mtext</mtext>
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<merror>This is a text in merror</merror>
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<mrow>
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<msub>
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<mi>a</mi>
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<mn>0</mn>
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</msub>
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<mo>+</mo>
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<mfrac>
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<mstyle scriptlevel="0">
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<mn>1</mn>
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</mstyle>
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<mstyle scriptlevel="0">
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<mrow>
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<msub>
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<mi>a</mi>
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<mn>1</mn>
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</msub>
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<mo>+</mo>
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<mfrac>
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<mstyle scriptlevel="0">
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<mn>1</mn>
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</mstyle>
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<mstyle scriptlevel="0">
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<mrow>
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<msub>
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<mi>a</mi>
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<mn>2</mn>
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</msub>
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<mo>+</mo>
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<mfrac>
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<mstyle scriptlevel="0">
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<mn>1</mn>
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</mstyle>
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<mstyle scriptlevel="0">
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<msub>
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<mi>a</mi>
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<mn>3</mn>
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</msub>
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</mstyle>
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</mfrac>
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</mrow>
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</mstyle>
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</mfrac>
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</mrow>
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</mstyle>
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</mfrac>
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</mrow>
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<mo>;</mo>
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<mrow>
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<msub>
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<mi>c</mi>
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<mrow>
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<mi>i</mi><mo>+</mo><mi>j</mi>
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</mrow>
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</msub>
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<mo>←</mo>
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<mrow>
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<msub><mi>a</mi><mi>i</mi></msub>
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<mo>*</mo>
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<msub><mi>b</mi><mi>j</mi></msub>
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</mrow>
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</mrow>
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<br />
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<mrow>
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<msup>
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<mi>e</mi>
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<mrow>
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<mi>i</mi>
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<mo>π</mo>
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</mrow>
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</msup>
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<mo>+</mo>
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<mn>1</mn>
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<mo>=</mo>
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<mn>0</mn>
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<mo>;</mo>
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</mrow>
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<mrow>
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<mi>G</mi>
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<mo>=</mo>
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<mfrac>
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<mrow>
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<mi>F</mi>
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<msup><mi>d</mi><mn>2</mn></msup>
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</mrow>
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<mrow>
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<msub><mi>m</mi><mn>1</mn></msub>
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<msub><mi>m</mi><mn>2</mn></msub>
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</mrow>
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</mfrac>
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</mrow>
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<mo>;</mo>
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<mrow>
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<mi>t</mi><mo>+=</mo><mi>dt</mi>
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</mrow>
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<br />
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<mrow>
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<mi>x</mi>
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<mo>=</mo>
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<mi>a</mi>
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<mo>*</mo>
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<mi>b</mi>
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<mo>+</mo>
|
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<mrow>
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<mo stretchy="false">(</mo>
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<mfrac linethickness="2">
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<mrow>
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<mi>aa</mi>
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<mo>+</mo>
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<mi>b</mi>
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</mrow>
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<mfrac>
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<mi>xy</mi>
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<mi>z</mi>
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</mfrac>
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</mfrac>
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<mo>)</mo>
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</mrow>
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</mrow>
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<mfrac>
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<mfrac>
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<mi>x</mi>
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<mi>z</mi>
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</mfrac>
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<mstyle scriptlevel="-3">
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<mfrac>
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<mi>dy</mi>
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<mstyle scriptlevel="1">
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<mi>z</mi>
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</mstyle>
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</mfrac>
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</mstyle>
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</mfrac>
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<mfrac>
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<mstyle scriptlevel="0">
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<mi>x</mi>
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</mstyle>
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<mi>z</mi>
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</mfrac>
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<mstyle scriptlevel="-4">
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<mi>x</mi>
|
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</mstyle>
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</math>
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<math xmlns="&mathml;" mode="display">
|
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<mrow>
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<msub>
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<mi>Z</mi>
|
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<mi>α</mi>
|
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</msub>
|
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<mrow>
|
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<mo>(</mo>
|
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<mi>f</mi>
|
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<mo>)</mo>
|
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</mrow>
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<mo>=</mo>
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<mfrac>
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<mn>1</mn>
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<mrow>
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<mn>2</mn>
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<mi>i</mi>
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<mo> </mo>
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<mi>cos</mi>
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<mo>(</mo>
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<mfrac>
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<mi>π</mi>
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</mfrac>
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<mrow>
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<msub>
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<mo>∫</mo>
|
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<mi>C</mi>
|
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</msub>
|
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<mfrac>
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<mrow>
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<mi>f</mi>
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<mo stretchy='false'>(</mo>
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<mi>i</mi>
|
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<mi>z</mi>
|
|
<mo stretchy='false'>)</mo>
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|
<msup>
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<mo>-</mo>
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<mi>z</mi>
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|
</mrow>
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<mi>α</mi>
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|
</msup>
|
|
</mrow>
|
|
<mrow>
|
|
<msup>
|
|
<mi>e</mi>
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|
<mrow>
|
|
<mn>2</mn>
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<mi>π</mi>
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|
<mi>z</mi>
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|
</mrow>
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</msup>
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<mo>-</mo>
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<mn>1</mn>
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</mrow>
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|
</mfrac>
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|
</mrow>
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<mi>dz</mi>
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|
</mrow>
|
|
</math>
|
|
|
|
<br />
|
|
|
|
<br />
|
|
|
|
And this is from the "Thomson scattering theory"
|
|
|
|
<math xmlns="&mathml;" mode="display">
|
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<mrow>
|
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<mtable align='left'>
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|
|
|
<mtr>
|
|
<mtd columnalign='left'>
|
|
<mrow>
|
|
<mfrac>
|
|
<mrow>
|
|
<msup>
|
|
<mi>d</mi>
|
|
<mn>2</mn>
|
|
</msup>
|
|
<mi>P</mi>
|
|
</mrow>
|
|
|
|
<mrow>
|
|
<mi>d</mi>
|
|
<msub>
|
|
<mi>Ω</mi>
|
|
<mi>s</mi>
|
|
</msub>
|
|
<mo> </mo>
|
|
<mi>d</mi>
|
|
<msub>
|
|
<mi>ω</mi>
|
|
<mi>s</mi>
|
|
</msub>
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|
</mrow>
|
|
</mfrac>
|
|
</mrow>
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|
</mtd>
|
|
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|
<mtd columnalign='left'>
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|
<mrow>
|
|
<mo>=</mo>
|
|
</mrow>
|
|
</mtd>
|
|
|
|
<mtd columnalign='left'>
|
|
<mrow>
|
|
<msubsup>
|
|
<mi>r</mi>
|
|
<mi>e</mi>
|
|
<mn>2</mn>
|
|
</msubsup>
|
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|
|
<msub>
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|
<mo>∫</mo>
|
|
<mi>V</mi>
|
|
</msub>
|
|
|
|
<mo lspace='0'><</mo>
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|
<msub>
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|
<mi>S</mi>
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|
<mi>i</mi>
|
|
</msub>
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<mo>></mo>
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<msup>
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<mi>d</mi>
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|
<mn>3</mn>
|
|
</msup>
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|
|
<mi fontweight='bold'>r</mi>
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|
<mo>∫</mo>
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|
<msup>
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<mrow>
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<mo lspace='0' rspace='0' symmetric='false'>|</mo>
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<mover accent='true'>
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<mi fontweight='bold'>e</mi>
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<mo>^</mo>
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</mover>
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<mo>.</mo>
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<mover accent='true'>
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<mo>Π</mo>
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<mo>↔</mo>
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</mover>
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<mo>.</mo>
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<mover accent='true'>
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<mi fontweight='bold'>e</mi>
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</mover>
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<mo lspace='0' rspace='0' symmetric='false'>|</mo>
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</mrow>
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<mn>2</mn>
|
|
</msup>
|
|
|
|
<msup>
|
|
<mi>κ</mi>
|
|
<mn>2</mn>
|
|
</msup>
|
|
|
|
<mi>f</mi>
|
|
<mo> </mo>
|
|
<mi>δ</mi>
|
|
|
|
<mrow>
|
|
<mo stretchy='false'>(</mo>
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|
<mi fontweight='bold'>k</mi>
|
|
<mo>.</mo>
|
|
<mi fontweight='bold'>v</mi>
|
|
<mo>-</mo>
|
|
<mi>ω</mi>
|
|
<mo stretchy='false'>)</mo>
|
|
</mrow>
|
|
|
|
<msup>
|
|
<mi>d</mi>
|
|
<mn>3</mn>
|
|
</msup>
|
|
|
|
<mi fontweight='bold'>v</mi>
|
|
</mrow>
|
|
</mtd>
|
|
</mtr>
|
|
|
|
<mtr>
|
|
<mtd></mtd>
|
|
|
|
<mtd columnalign='left'>
|
|
<mrow>
|
|
<mo>=</mo>
|
|
</mrow>
|
|
</mtd>
|
|
|
|
<mtd columnalign='left'>
|
|
<mrow>
|
|
<msubsup>
|
|
<mi>r</mi>
|
|
<mi>e</mi>
|
|
<mn>2</mn>
|
|
</msubsup>
|
|
|
|
<msub>
|
|
<mo>∫</mo>
|
|
<mi>V</mi>
|
|
</msub>
|
|
|
|
<mo lspace='0'><</mo>
|
|
<msub>
|
|
<mi>S</mi>
|
|
<mi>i</mi>
|
|
</msub>
|
|
<mo>></mo>
|
|
|
|
<msup>
|
|
<mi>d</mi>
|
|
<mn>3</mn>
|
|
</msup>
|
|
|
|
<mi fontweight='bold'>r</mi>
|
|
<mo>∫</mo>
|
|
|
|
<msup>
|
|
<mrow>
|
|
<mo symmetric='false' lspace='0' rspace='0'>|</mo>
|
|
<mn>1</mn>
|
|
<mo>-</mo>
|
|
|
|
<mfrac>
|
|
<mrow>
|
|
<mo stretchy='false'>(</mo>
|
|
<mn>1</mn>
|
|
<mo>-</mo>
|
|
<mover accent='true'>
|
|
<mi fontweight='bold'>s</mi>
|
|
<mo>^</mo>
|
|
</mover>
|
|
<mo>.</mo>
|
|
<mover accent='true'>
|
|
<mi fontweight='bold'>ı</mi>
|
|
<mo>^</mo>
|
|
</mover>
|
|
<mo stretchy='false'>)</mo>
|
|
</mrow>
|
|
|
|
<mrow>
|
|
<mo stretchy='false'>(</mo>
|
|
<mn>1</mn>
|
|
<mo>-</mo>
|
|
<msub>
|
|
<mi>β</mi>
|
|
<mi>i</mi>
|
|
</msub>
|
|
<mo stretchy='false'>)</mo>
|
|
<mo stretchy='false'>(</mo>
|
|
<mn>1</mn>
|
|
<mo>-</mo>
|
|
<msub>
|
|
<mi>β</mi>
|
|
<mi>s</mi>
|
|
</msub>
|
|
<mo stretchy='false'>)</mo>
|
|
</mrow>
|
|
</mfrac>
|
|
|
|
<msubsup>
|
|
<mi>β</mi>
|
|
<mi>e</mi>
|
|
<mn>2</mn>
|
|
</msubsup>
|
|
|
|
<mo symmetric='false' lspace='0' rspace='0'>|</mo>
|
|
</mrow>
|
|
<mn>2</mn>
|
|
</msup>
|
|
|
|
<mspace width="thinmathspace"/>
|
|
|
|
<msup>
|
|
<mrow>
|
|
<mo symmetric='false' rspace='0'>|</mo>
|
|
<mfrac>
|
|
|
|
<mrow>
|
|
<mn>1</mn>
|
|
<mo>-</mo>
|
|
<msub>
|
|
<mi>β</mi>
|
|
<mi>i</mi>
|
|
</msub>
|
|
</mrow>
|
|
|
|
<mrow>
|
|
<mn>1</mn>
|
|
<mo>-</mo>
|
|
<msub>
|
|
<mi>β</mi>
|
|
<mi>s</mi>
|
|
</msub>
|
|
</mrow>
|
|
</mfrac>
|
|
|
|
<mo symmetric='false' lspace='0' rspace='0'>|</mo>
|
|
</mrow>
|
|
<mn>2</mn>
|
|
</msup>
|
|
</mrow>
|
|
</mtd>
|
|
|
|
</mtr>
|
|
|
|
<mtr>
|
|
<mtd></mtd>
|
|
<mtd></mtd>
|
|
<mtd columnalign='left'>
|
|
<mrow>
|
|
<mo>×</mo>
|
|
|
|
<mrow>
|
|
<mo stretchy='false'>(</mo>
|
|
<mn>1</mn>
|
|
<mo>-</mo>
|
|
<msup>
|
|
<mi>β</mi>
|
|
<mn>2</mn>
|
|
</msup>
|
|
<mo stretchy='false'>)</mo>
|
|
</mrow>
|
|
|
|
<mo> </mo>
|
|
<mi>f</mi>
|
|
<mo> </mo>
|
|
<mi>δ</mi>
|
|
|
|
<mrow>
|
|
<mo stretchy='false'>(</mo>
|
|
<mi fontweight='bold'>k</mi>
|
|
<mo>.</mo>
|
|
<mi fontweight='bold'>v</mi>
|
|
<mo>-</mo>
|
|
<mi>ω</mi>
|
|
<mo stretchy='false'>)</mo>
|
|
</mrow>
|
|
|
|
<msup>
|
|
<mi>d</mi>
|
|
<mn>3</mn>
|
|
</msup>
|
|
|
|
<mi fontweight='bold'>v</mi>
|
|
</mrow>
|
|
</mtd>
|
|
|
|
</mtr>
|
|
</mtable>
|
|
</mrow>
|
|
</math>
|
|
|
|
</body>
|
|
</html>
|