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mml3.js

mml3.js 21 KB
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  1. /*
    2. 

  2.  *  /MathJax/extensions/MathML/mml3.js
    3. 

  3.  *
    4. 

  4.  *  Copyright (c) 2009-2015 The MathJax Consortium
    5. 

  5.  *
    6. 

  6.  *  Licensed under the Apache License, Version 2.0 (the "License");
    7. 

  7.  *  you may not use this file except in compliance with the License.
    8. 

  8.  *  You may obtain a copy of the License at
    9. 

  9.  *
    10. 

  10.  *      http://www.apache.org/licenses/LICENSE-2.0
    11. 

  11.  *
    12. 

  12.  *  Unless required by applicable law or agreed to in writing, software
    13. 

  13.  *  distributed under the License is distributed on an "AS IS" BASIS,
    14. 

  14.  *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
    15. 

  15.  *  See the License for the specific language governing permissions and
    16. 

  16.  *  limitations under the License.
    17. 

  17.  */
    18. 

  18. 

  19. MathJax.Extension["MathML/mml3"]={version:"2.5.1"};MathJax.Hub.Register.StartupHook("MathML Jax Ready",function(){var c=MathJax.InputJax.MathML,e=c.Parse.prototype;c.prefilterHooks.Add(function(h){if(!c.mml3XSLT){return}if(!c.ParseXML){c.ParseXML=c.createParser()}var i=c.ParseXML(e.preProcessMath(h.math));var g=c.mml3XSLT.transformToDocument(i);if((typeof g)==="string"){h.math=g}else{if(window.XMLSerializer){var f=new XMLSerializer();h.math=f.serializeToString(g.documentElement,i)}}});var d='<x:stylesheet version="1.0" xmlns:x="http://www.w3.org/1999/XSL/Transform" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns="http://www.w3.org/1998/Math/MathML" xmlns:c="http://exslt.org/common" exclude-result-prefixes="m c"><ms:script language="JScript" implements-prefix="c" xmlns:ms="urn:schemas-microsoft-com:xslt"> this[\'node-set\'] =  function (x) {  return x;  }</ms:script><x:output indent="yes" omit-xml-declaration="yes"/><x:template match="*"><x:copy><x:copy-of select="@*"/><x:apply-templates/></x:copy></x:template><x:template match="*[@dir=\'rtl\']"  priority="10"><x:apply-templates mode="rtl" select="."/></x:template><x:template match="@*" mode="rtl"><x:copy-of select="."/></x:template><x:template match="*" mode="rtl"><x:copy><x:apply-templates select="@*" mode="rtl"/><x:for-each select="node()"><x:sort data-type="number" order="descending" select="position()"/><x:text></x:text><x:apply-templates mode="rtl" select="."/></x:for-each></x:copy></x:template><x:template match="@open" mode="rtl"><x:attribute name="close"><x:value-of select="."/></x:attribute></x:template><x:template match="@open[.=\'(\']" mode="rtl"><x:attribute name="close">)</x:attribute></x:template><x:template match="@open[.=\')\']" mode="rtl"><x:attribute name="close">(</x:attribute></x:template><x:template match="@open[.=\'[\']" mode="rtl"><x:attribute name="close">]</x:attribute></x:template><x:template match="@open[.=\']\']" mode="rtl"><x:attribute name="close">[</x:attribute></x:template><x:template match="@open[.=\'{\']" mode="rtl"><x:attribute name="close">}</x:attribute></x:template><x:template match="@open[.=\'}\']" mode="rtl"><x:attribute name="close">{</x:attribute></x:template><x:template match="@close" mode="rtl"><x:attribute name="open"><x:value-of select="."/></x:attribute></x:template><x:template match="@close[.=\'(\']" mode="rtl"><x:attribute name="open">)</x:attribute></x:template><x:template match="@close[.=\')\']" mode="rtl"><x:attribute name="open">(</x:attribute></x:template><x:template match="@close[.=\'[\']" mode="rtl"><x:attribute name="open">]</x:attribute></x:template><x:template match="@close[.=\']\']" mode="rtl"><x:attribute name="open">[</x:attribute></x:template><x:template match="@close[.=\'{\']" mode="rtl"><x:attribute name="open">}</x:attribute></x:template><x:template match="@close[.=\'}\']" mode="rtl"><x:attribute name="open">{</x:attribute></x:template><x:template match="m:mfrac[@bevelled=\'true\']" mode="rtl"><mrow><msub><mi></mi><x:apply-templates select="*[2]" mode="rtl"/></msub><mo>&#x5c;</mo><msup><mi></mi><x:apply-templates select="*[1]" mode="rtl"/></msup></mrow></x:template><x:template match="m:mfrac" mode="rtl"><x:copy><x:apply-templates mode="rtl" select="@*|*"/></x:copy></x:template><x:template match="m:mroot" mode="rtl"><msup><menclose notation="top right"><x:apply-templates mode="rtl" select="@*|*[1]"/></menclose><x:apply-templates mode="rtl" select="*[2]"/></msup></x:template><x:template match="m:msqrt" mode="rtl"><menclose notation="top right"><x:apply-templates mode="rtl" select="@*|*[1]"/></menclose></x:template><x:template match="m:mtable|m:munder|m:mover|m:munderover" mode="rtl" priority="2"><x:copy><x:apply-templates select="@*" mode="rtl"/><x:apply-templates mode="rtl"></x:apply-templates></x:copy></x:template><x:template match="m:msup" mode="rtl" priority="2"><mmultiscripts><x:apply-templates select="*[1]" mode="rtl"/><mprescripts/><none/><x:apply-templates select="*[2]" mode="rtl"/></mmultiscripts></x:template><x:template match="m:msub" mode="rtl" priority="2"><mmultiscripts><x:apply-templates select="*[1]" mode="rtl"/><mprescripts/><x:apply-templates select="*[2]" mode="rtl"/><none/></mmultiscripts></x:template><x:template match="m:msubsup" mode="rtl" priority="2"><mmultiscripts><x:apply-templates select="*[1]" mode="rtl"/><mprescripts/><x:apply-templates select="*[2]" mode="rtl"/><x:apply-templates select="*[3]" mode="rtl"/></mmultiscripts></x:template><x:template match="m:mmultiscripts" mode="rtl" priority="2"><mmultiscripts><x:apply-templates select="*[1]" mode="rtl"/><x:for-each  select="m:mprescripts/following-sibling::*[position() mod 2 = 1]"><x:sort data-type="number" order="descending" select="position()"/><x:apply-templates select="."  mode="rtl"/><x:apply-templates select="following-sibling::*[1]"  mode="rtl"/></x:for-each><mprescripts/><x:for-each  select="m:mprescripts/preceding-sibling::*[position()!=last()][position() mod 2 = 0]"><x:sort data-type="number" order="descending" select="position()"/><x:apply-templates select="."  mode="rtl"/><x:apply-templates select="following-sibling::*[1]"  mode="rtl"/></x:for-each></mmultiscripts></x:template><x:template match="m:mmultiscripts[not(m:mprescripts)]" mode="rtl" priority="3"><mmultiscripts><x:apply-templates select="*[1]" mode="rtl"/><mprescripts/><x:for-each  select="*[position() mod 2 = 0]"><x:sort data-type="number" order="descending" select="position()"/><x:apply-templates select="."  mode="rtl"/><x:apply-templates select="following-sibling::*[1]"  mode="rtl"/></x:for-each></mmultiscripts></x:template><x:template match="text()[.=\'(\']" mode="rtl">)</x:template><x:template match="text()[.=\')\']" mode="rtl">(</x:template><x:template match="text()[.=\'{\']" mode="rtl">}</x:template><x:template match="text()[.=\'}\']" mode="rtl">{</x:template><x:template match="text()[.=\'&lt;\']" mode="rtl">&gt;</x:template><x:template match="text()[.=\'&gt;\']" mode="rtl">&lt;</x:template><x:template match="text()[.=\'&#x2208;\']" mode="rtl">&#x220b;</x:template><x:template match="text()[.=\'&#x220b;\']" mode="rtl">&#x2208;</x:template><x:template match="@notation[.=\'radical\']" mode="rtl"><x:attribute name="notation">top right</x:attribute></x:template><x:template match="m:mlongdiv|m:mstack" mode="rtl"><mrow dir="ltr"><x:apply-templates select="."/></mrow></x:template><x:template match="m:mstack" priority="11"><x:variable name="m"><mtable columnspacing="0em"><x:copy-of select="@align"/><x:variable name="t"><x:apply-templates select="*" mode="mstack1"><x:with-param name="p" select="0"/></x:apply-templates></x:variable><x:variable name="maxl"><x:for-each select="c:node-set($t)/*/@l"><x:sort data-type="number" order="descending"/><x:if test="position()=1"><x:value-of select="."/></x:if></x:for-each></x:variable><x:for-each select="c:node-set($t)/*[not(@class=\'mscarries\') or following-sibling::*[1]/@class=\'mscarries\']"><x:variable name="c" select="preceding-sibling::*[1][@class=\'mscarries\']"/><x:text>&#10;</x:text><mtr><x:copy-of select="@class[.=\'msline\']"/><x:variable name="offset" select="$maxl - @l"/><x:choose><x:when test="@class=\'msline\' and @l=\'*\'"><x:variable name="msl" select="*[1]"/><x:for-each select="(//node())[position()&lt;=$maxl]"><x:copy-of select="$msl"/></x:for-each></x:when><x:when test="$c"><x:variable name="ldiff" select="$c/@l - @l"/><x:variable name="loffset" select="$maxl - $c/@l"/><x:for-each select="(//*)[position()&lt;= $offset]"><x:variable name="pn" select="position()"/><x:variable name="cy" select="$c/*[position()=$pn - $loffset]"/><mtd><x:if test="$cy/*"><mover><mphantom><mn>0</mn></mphantom><mpadded width="0em" lspace="-0.5width"><x:copy-of select="$cy/*"/></mpadded></mover></x:if></mtd></x:for-each><x:for-each select="*"><x:variable name="pn" select="position()"/><x:variable name="cy" select="$c/*[position()=$pn + $ldiff]"/><x:copy><x:copy-of select="@*"/><x:variable name="b"><x:choose><x:when test="not(string($cy/@crossout) or $cy/@crossout=\'none\')"><x:copy-of select="*"/></x:when><x:otherwise><menclose notation="{$cy/@crossout}"><x:copy-of select="*"/></menclose></x:otherwise></x:choose></x:variable><x:choose><x:when test="$cy/m:none or not($cy/*)"><x:copy-of select="$b"/></x:when><x:when test="not(string($cy/@location)) or $cy/@location=\'n\'"><mover><x:copy-of select="$b"/><mpadded width="0em" lspace="-0.5width"><x:copy-of select="$cy/*"/></mpadded></mover></x:when><x:when test="$cy/@location=\'nw\'"><mmultiscripts><x:copy-of select="$b"/><mprescripts/><none/><mpadded lspace="-1width" width="0em"><x:copy-of select="$cy/*"/></mpadded></mmultiscripts></x:when><x:when test="$cy/@location=\'s\'"><munder><x:copy-of select="$b"/><mpadded width="0em" lspace="-0.5width"><x:copy-of select="$cy/*"/></mpadded></munder></x:when><x:when test="$cy/@location=\'sw\'"><mmultiscripts><x:copy-of select="$b"/><mprescripts/><mpadded lspace="-1width" width="0em"><x:copy-of select="$cy/*"/></mpadded><none/></mmultiscripts></x:when><x:when test="$cy/@location=\'ne\'"><msup><x:copy-of select="$b"/><mpadded width="0em"><x:copy-of select="$cy/*"/></mpadded></msup></x:when><x:when test="$cy/@location=\'se\'"><msub><x:copy-of select="$b"/><mpadded width="0em"><x:copy-of select="$cy/*"/></mpadded></msub></x:when><x:when test="$cy/@location=\'w\'"><msup><mrow/><mpadded lspace="-1width" width="0em"><x:copy-of select="$cy/*"/></mpadded></msup><x:copy-of select="$b"/></x:when><x:when test="$cy/@location=\'e\'"><x:copy-of select="$b"/><msup><mrow/><mpadded width="0em"><x:copy-of select="$cy/*"/></mpadded></msup></x:when><x:otherwise><x:copy-of select="$b"/></x:otherwise></x:choose></x:copy></x:for-each></x:when><x:otherwise><x:for-each select="(//*)[position()&lt;= $offset]"><mtd/></x:for-each><x:copy-of select="*"/></x:otherwise></x:choose></mtr></x:for-each></mtable></x:variable><x:apply-templates mode="ml" select="c:node-set($m)"/></x:template><x:template match="*" mode="ml"><x:copy><x:copy-of select="@*"/><x:apply-templates mode="ml"/></x:copy></x:template><x:template mode="ml" match="m:mtr[following-sibling::*[1][@class=\'msline\']]"><mtr><x:copy-of select="@*"/><x:variable name="m" select="following-sibling::*[1]/m:mtd"/><x:for-each select="m:mtd"><x:variable name="p" select="position()"/><mtd><x:copy-of select="@*"/><x:choose><x:when test="$m[$p]/m:mpadded"><menclose notation="bottom"><mpadded depth=".1em" height="1em" width=".4em"><x:copy-of select="*"/></mpadded></menclose></x:when><x:otherwise><x:copy-of select="*"/></x:otherwise></x:choose></mtd></x:for-each></mtr></x:template><x:template mode="ml" match="m:mtr[not(preceding-sibling::*)][@class=\'msline\']" priority="3"><mtr><x:copy-of select="@*"/><x:for-each select="m:mtd"><mtd><x:copy-of select="@*"/><x:if test="m:mpadded"><menclose notation="bottom"><mpadded depth=".1em" height="1em" width=".4em"><mspace width=".2em"/></mpadded></menclose></x:if></mtd></x:for-each></mtr></x:template><x:template mode="ml" match="m:mtr[@class=\'msline\']" priority="2"/><x:template mode="mstack1" match="*"><x:param name="p"/><x:param name="maxl" select="0"/><mtr l="{1 + $p}"><x:if test="ancestor::mstack[1]/@stackalign=\'left\'"><x:attribute name="l"><x:value-of  select="$p"/></x:attribute></x:if><mtd><x:apply-templates select="."/></mtd></mtr></x:template><x:template mode="mstack1" match="m:msrow"><x:param name="p"/><x:param name="maxl" select="0"/><x:variable  name="align1" select="ancestor::m:mstack[1]/@stackalign"/><x:variable name="align"><x:choose><x:when test="string($align1)=\'\'">decimalpoint</x:when><x:otherwise><x:value-of select="$align1"/></x:otherwise></x:choose></x:variable><x:variable name="row"><x:apply-templates mode="mstack1" select="*"><x:with-param name="p" select="0"/></x:apply-templates></x:variable><x:text>&#10;</x:text><x:variable name="l1"><x:choose><x:when test="$align=\'decimalpoint\' and m:mn"><x:for-each select="c:node-set($row)/m:mtr[m:mtd/m:mn][1]"><x:value-of select="number(sum(@l))+count(preceding-sibling::*/@l)"/></x:for-each></x:when><x:when test="$align=\'right\' or $align=\'decimalpoint\'"><x:value-of select="count(c:node-set($row)/m:mtr/m:mtd)"/></x:when><x:otherwise><x:value-of select="0"/></x:otherwise></x:choose></x:variable><mtr class="msrow" l="{number($l1) + number(sum(@position)) +$p}"><x:copy-of select="c:node-set($row)/m:mtr/*"/></mtr></x:template><x:template mode="mstack1" match="m:mn"><x:param name="p"/><x:variable name="align1" select="ancestor::m:mstack[1]/@stackalign"/><x:variable name="dp1" select="ancestor::*[@decimalpoint][1]/@decimalpoint"/><x:variable name="align"><x:choose><x:when test="string($align1)=\'\'">decimalpoint</x:when><x:otherwise><x:value-of select="$align1"/></x:otherwise></x:choose></x:variable><x:variable name="dp"><x:choose><x:when test="string($dp1)=\'\'">.</x:when><x:otherwise><x:value-of select="$dp1"/></x:otherwise></x:choose></x:variable><mtr l="$p"><x:variable name="mn" select="normalize-space(.)"/><x:variable name="len" select="string-length($mn)"/><x:choose><x:when test="$align=\'right\' or ($align=\'decimalpoint\' and not(contains($mn,$dp)))"><x:attribute name="l"><x:value-of select="$p + $len"/></x:attribute></x:when><x:when test="$align=\'center\'"><x:attribute name="l"><x:value-of select="round(($p + $len) div 2)"/></x:attribute></x:when><x:when test="$align=\'decimalpoint\'"><x:attribute name="l"><x:value-of select="$p + string-length(substring-before($mn,$dp))"/></x:attribute></x:when></x:choose><x:for-each select="(//node())[position() &lt;=$len]"><x:variable name="pos" select="position()"/><mtd><mn><x:value-of select="substring($mn,$pos,1)"/></mn></mtd></x:for-each></mtr></x:template><x:template match="m:msgroup" mode="mstack1"><x:param name="p"/><x:variable name="s" select="number(sum(@shift))"/><x:variable name="thisp" select="number(sum(@position))"/><x:for-each select="*"><x:apply-templates mode="mstack1" select="."><x:with-param name="p" select="number($p)+$thisp+(position()-1)*$s"/></x:apply-templates></x:for-each></x:template><x:template match="m:msline" mode="mstack1"><x:param name="p"/><x:variable  name="align1" select="ancestor::m:mstack[1]/@stackalign"/><x:variable name="align"><x:choose><x:when test="string($align1)=\'\'">decimalpoint</x:when><x:otherwise><x:value-of select="$align1"/></x:otherwise></x:choose></x:variable><mtr class="msline"><x:attribute name="l"><x:choose><x:when test="not(string(@length)) or @length=0">*</x:when><x:when test="string($align)=\'right\' or string($align)=\'decimalpoint\' "><x:value-of select="$p+ @length"/></x:when><x:otherwise><x:value-of select="$p"/></x:otherwise></x:choose></x:attribute><x:variable name="w"><x:choose><x:when test="@mslinethickness=\'thin\'">0.1em</x:when><x:when test="@mslinethickness=\'medium\'">0.15em</x:when><x:when test="@mslinethickness=\'thick\'">0.2em</x:when><x:when test="@mslinethickness"><x:value-of select="@mslinethickness"/></x:when><x:otherwise>0.15em</x:otherwise></x:choose></x:variable><x:choose><x:when test="not(string(@length)) or @length=0"><mtd class="mslinemax"><mpadded lspace="-0.2em" width="0em" height="0em"><mfrac linethickness="{$w}"><mspace width=".4em"/><mrow/></mfrac></mpadded></mtd></x:when><x:otherwise><x:variable name="l" select="@length"/><x:for-each select="(//node())[position()&lt;=$l]"><mtd class="msline"><mpadded lspace="-0.2em" width="0em" height="0em"><mfrac linethickness="{$w}"><mspace width=".4em"/><mrow/></mfrac></mpadded></mtd></x:for-each></x:otherwise></x:choose></mtr></x:template><x:template match="m:mscarries" mode="mstack1"><x:param name="p"/><x:variable  name="align1" select="ancestor::m:mstack[1]/@stackalign"/><x:variable name="l1"><x:choose><x:when test="string($align1)=\'left\'">0</x:when><x:otherwise><x:value-of select="count(*)"/></x:otherwise></x:choose></x:variable><mtr class="mscarries" l="{$p + $l1 + sum(@position)}"><x:apply-templates select="*" mode="msc"/></mtr></x:template><x:template match="*" mode="msc"><mtd><x:copy-of select="../@location|../@crossout"/><x:choose><x:when test="../@scriptsizemultiplier"><mstyle mathsize="{round(../@scriptsizemultiplier div .007)}%"><x:apply-templates select="."/></mstyle></x:when><x:otherwise><x:apply-templates select="."/></x:otherwise></x:choose></mtd></x:template><x:template match="m:mscarry" mode="msc"><mtd><x:copy-of select="@location|@crossout"/><x:choose><x:when test="../@scriptsizemultiplier"><mstyle mathsize="{round(../@scriptsizemultiplier div .007)}%"><x:apply-templates/></mstyle></x:when><x:otherwise><x:apply-templates/></x:otherwise></x:choose></mtd></x:template><x:template match="m:mlongdiv" priority="11"><x:variable name="ms"><mstack><x:copy-of select="(ancestor-or-self::*/@decimalpoint)[last()]"/><x:choose><x:when test="@longdivstyle=\'left)(right\'"><msrow><mrow><x:copy-of select="*[1]"/></mrow><mo>)</mo><x:copy-of select="*[3]"/><mo>(</mo><x:copy-of select="*[2]"/></msrow></x:when><x:when test="@longdivstyle=\'left/\\right\'"><msrow><mrow><x:copy-of select="*[1]"/></mrow><mo>/</mo><x:copy-of select="*[3]"/><mo>\\</mo><x:copy-of select="*[2]"/></msrow></x:when><x:when test="@longdivstyle=\':right=right\'"><msrow><x:copy-of select="*[3]"/><mo>:</mo><x:copy-of select="*[1]"/><mo>=</mo><x:copy-of select="*[2]"/></msrow></x:when><x:when test="@longdivstyle=\'stackedrightright\'                or @longdivstyle=\'mediumstackedrightright\'                    or @longdivstyle=\'shortstackedrightright\'             or @longdivstyle=\'stackedleftleft\'                    "><x:attribute name="align">top</x:attribute><x:copy-of select="*[3]"/></x:when><x:when test="@longdivstyle=\'stackedleftlinetop\'"><x:copy-of select="*[2]"/><msline length="{string-length(*[3])-1}"/><msrow><mrow><menclose notation="bottom right"><x:copy-of select="*[1]"/></menclose></mrow><x:copy-of select="*[3]"/></msrow></x:when><x:when test="@longdivstyle=\'righttop\'"><x:copy-of select="*[2]"/><msline length="{string-length(*[3])}"/><msrow><x:copy-of select="*[3]"/><menclose notation="top left bottom"><x:copy-of select="*[1]"/></menclose></msrow></x:when><x:otherwise><x:copy-of select="*[2]"/><msline length="{string-length(*[3])}"/><msrow><mrow><x:copy-of select="*[1]"/></mrow><mo>)</mo><x:copy-of select="*[3]"/></msrow></x:otherwise></x:choose><x:copy-of select="*[position()&gt;3]"/></mstack></x:variable><x:choose><x:when test="@longdivstyle=\'stackedrightright\'"><menclose notation="right"><x:apply-templates select="c:node-set($ms)"/></menclose><mtable align="top"><mtr><menclose notation="bottom"><x:copy-of select="*[1]"/></menclose></mtr><mtr><mtd><x:copy-of select="*[2]"/></mtd></mtr></mtable></x:when><x:when test="@longdivstyle=\'mediumstackedrightright\'"><x:apply-templates select="c:node-set($ms)"/><menclose notation="left"><mtable align="top"><mtr><menclose notation="bottom"><x:copy-of select="*[1]"/></menclose></mtr><mtr><mtd><x:copy-of select="*[2]"/></mtd></mtr></mtable></menclose></x:when><x:when test="@longdivstyle=\'shortstackedrightright\'"><x:apply-templates select="c:node-set($ms)"/><mtable align="top"><mtr><menclose notation="left bottom"><x:copy-of select="*[1]"/></menclose></mtr><mtr><mtd><x:copy-of select="*[2]"/></mtd></mtr></mtable></x:when><x:when test="@longdivstyle=\'stackedleftleft\'"><mtable align="top"><mtr><menclose notation="bottom"><x:copy-of select="*[1]"/></menclose></mtr><mtr><mtd><x:copy-of select="*[2]"/></mtd></mtr></mtable><menclose notation="left"><x:apply-templates select="c:node-set($ms)"/></menclose></x:when><x:otherwise><x:apply-templates select="c:node-set($ms)"/></x:otherwise></x:choose></x:template><x:template match="m:menclose[@notation=\'madruwb\']" mode="rtl"><menclose notation="bottom right"><x:apply-templates mode="rtl"/></menclose></x:template></x:stylesheet>';var b;if(window.XSLTProcessor){if(!c.ParseXML){c.ParseXML=c.createParser()}c.mml3XSLT=new XSLTProcessor();c.mml3XSLT.importStylesheet(c.ParseXML(d))}else{if(MathJax.Hub.Browser.isMSIE){if(MathJax.Hub.Browser.versionAtLeast("9.0")||(document.documentMode||0)>=9){b=new ActiveXObject("Msxml2.FreeThreadedDOMDocument");b.loadXML(d);var a=new ActiveXObject("Msxml2.XSLTemplate");a.stylesheet=b;c.mml3XSLT={mml3:a.createProcessor(),transformToDocument:function(f){this.mml3.input=f;this.mml3.transform();return this.mml3.output}}}else{b=c.createMSParser();b.async=false;b.loadXML(d);c.mml3XSLT={mml3:b,transformToDocument:function(f){return f.documentElement.transformNode(this.mml3)}}}}else{c.mml3XSLT=null}}MathJax.Hub.Startup.signal.Post("MathML mml3.js Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/MathML/mml3.js");
    20.