785 lines
32 KiB
JavaScript
785 lines
32 KiB
JavaScript
/*************************************************************
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*
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* MathJax/extensions/MathML/mml3.js
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*
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* This file implements an XSLT transform to convert some MathML 3
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* constructs to constructs MathJax can render. The transform is
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* performed in a pre-filter for the MathML input jax, so that the
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* Show Math As menu will still show the Original MathML correctly,
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* but the transformed MathML can be obtained from the regular MathML menu.
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*
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* To load it, include
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*
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* MathML: {
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* extensions: ["mml3.js"]
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* }
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*
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* in your configuration.
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*
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* A portion of this file is taken from mml3mj.xsl which is
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* Copyright (c) David Carlisle 2008-2015
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* and is used by permission of David Carlisle, who has agreed to allow us
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* to release it under the Apache2 license (see below). That portion is
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* indicated via comments.
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*
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* The remainder falls under the copyright that follows.
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* ---------------------------------------------------------------------
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*
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* Copyright (c) 2013-2017 The MathJax Consortium
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*
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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MathJax.Extension["MathML/mml3"] = {
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version: "2.7.1"
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};
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MathJax.Hub.Register.StartupHook("MathML Jax Ready",function () {
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var MATHML = MathJax.InputJax.MathML,
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PARSE = MATHML.Parse.prototype;
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MATHML.prefilterHooks.Add(function (data) {
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if (!MATHML.mml3XSLT) return;
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// Parse the <math> but use MATHML.Parse's preProcessMath to apply the normal preprocessing.
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if (!MATHML.ParseXML) {MATHML.ParseXML = MATHML.createParser()}
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var doc = MATHML.ParseXML(PARSE.preProcessMath(data.math));
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// Now transform the <math> using the mml3 stylesheet.
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var newdoc = MATHML.mml3XSLT.transformToDocument(doc);
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if ((typeof newdoc) === "string") {
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// Internet Explorer returns a string, so just use it.
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data.math = newdoc;
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} else if (window.XMLSerializer) {
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// Serialize the <math> again. We could directly provide the DOM content
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// but other prefilterHooks may assume data.math is still a string.
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var serializer = new XMLSerializer();
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data.math = serializer.serializeToString(newdoc.documentElement, doc);
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}
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});
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/*
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* The following is derived from mml3mj.xsl
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* (https://github.com/davidcarlisle/web-xslt/blob/master/ctop/mml3mj.xsl)
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* which is Copyright (c) David Carlisle 2008-2015.
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* It is used by permission of David Carlisle, who has agreed to allow it to
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* be released under the Apache License, Version 2.0.
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*/
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var BROWSER = MathJax.Hub.Browser;
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var exslt = '';
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if (BROWSER.isEdge || BROWSER.isMSIE) {
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exslt = 'urn:schemas-microsoft-com:xslt'
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} else {
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exslt = 'http://exslt.org/common';
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}
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var mml3Stylesheet =
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'<xsl:stylesheet version="1.0" xmlns:xsl="http://www.w3.org/1999/XSL/Transform" ' +
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' xmlns:m="http://www.w3.org/1998/Math/MathML"' +
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' xmlns:c="' + exslt + '"' +
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' exclude-result-prefixes="m c">' +
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'<xsl:output indent="yes" omit-xml-declaration="yes"/>' +
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'<xsl:output indent="yes" omit-xml-declaration="yes"/><xsl:template match="*">' +
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' <xsl:copy>' +
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' <xsl:copy-of select="@*"/>' +
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' <xsl:apply-templates/>' +
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' </xsl:copy>' +
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'</xsl:template><xsl:template match="m:*[@dir=\'rtl\']" priority="10">' +
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' <xsl:apply-templates mode="rtl" select="."/>' +
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'</xsl:template><xsl:template match="@*" mode="rtl">' +
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' <xsl:copy-of select="."/>' +
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' <xsl:attribute name="dir">ltr</xsl:attribute>' +
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'</xsl:template>' +
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'<xsl:template match="*" mode="rtl">' +
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' <xsl:copy>' +
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' <xsl:apply-templates select="@*" mode="rtl"/>' +
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' <xsl:for-each select="node()">' +
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' <xsl:sort data-type="number" order="descending" select="position()"/>' +
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' <xsl:text> </xsl:text>' +
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' <xsl:apply-templates mode="rtl" select="."/>' +
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' </xsl:for-each>' +
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' </xsl:copy>' +
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'</xsl:template><xsl:template match="@open" mode="rtl">' +
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' <xsl:attribute name="close"><xsl:value-of select="."/></xsl:attribute>' +
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'</xsl:template><xsl:template match="@open[.=\'(\']" mode="rtl">' +
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' <xsl:attribute name="close">)</xsl:attribute>' +
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'</xsl:template><xsl:template match="@open[.=\')\']" mode="rtl">' +
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' <xsl:attribute name="close">(</xsl:attribute>' +
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'</xsl:template>' +
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'<xsl:template match="@open[.=\'[\']" mode="rtl">' +
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' <xsl:attribute name="close">]</xsl:attribute>' +
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'</xsl:template>' +
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'<xsl:template match="@open[.=\']\']" mode="rtl">' +
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' <xsl:attribute name="close">[</xsl:attribute>' +
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'</xsl:template>' +
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'<xsl:template match="@open[.=\'{\']" mode="rtl">' +
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' <xsl:attribute name="close">}</xsl:attribute>' +
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'</xsl:template>' +
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'<xsl:template match="@open[.=\'}\']" mode="rtl">' +
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' <xsl:attribute name="close">{</xsl:attribute>' +
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'</xsl:template>' +
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'<xsl:template match="@close" mode="rtl">' +
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' <xsl:attribute name="open"><xsl:value-of select="."/></xsl:attribute>' +
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'</xsl:template><xsl:template match="@close[.=\'(\']" mode="rtl">' +
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' <xsl:attribute name="open">)</xsl:attribute>' +
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'</xsl:template><xsl:template match="@close[.=\')\']" mode="rtl">' +
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' <xsl:attribute name="open">(</xsl:attribute>' +
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'</xsl:template>' +
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'<xsl:template match="@close[.=\'[\']" mode="rtl">' +
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' <xsl:attribute name="open">]</xsl:attribute>' +
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'</xsl:template>' +
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'<xsl:template match="@close[.=\']\']" mode="rtl">' +
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' <xsl:attribute name="open">[</xsl:attribute>' +
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'</xsl:template>' +
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'<xsl:template match="@close[.=\'{\']" mode="rtl">' +
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' <xsl:attribute name="open">}</xsl:attribute>' +
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'</xsl:template>' +
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'<xsl:template match="@close[.=\'}\']" mode="rtl">' +
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' <xsl:attribute name="open">{</xsl:attribute>' +
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'</xsl:template><xsl:template match="m:mfrac[@bevelled=\'true\']" mode="rtl">' +
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' <m:mrow>' +
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' <m:msub><m:mi></m:mi><xsl:apply-templates select="*[2]" mode="rtl"/></m:msub>' +
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' <m:mo>\</m:mo>' +
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' <m:msup><m:mi></m:mi><xsl:apply-templates select="*[1]" mode="rtl"/></m:msup>' +
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' </m:mrow>' +
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'</xsl:template><xsl:template match="m:mfrac" mode="rtl">' +
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' <xsl:copy>' +
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' <xsl:apply-templates mode="rtl" select="@*|*"/>' +
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' </xsl:copy>' +
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'</xsl:template><xsl:template match="m:mroot" mode="rtl">' +
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' <m:msup>' +
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' <m:menclose notation="top right">' +
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' <xsl:apply-templates mode="rtl" select="@*|*[1]"/>' +
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' </m:menclose>' +
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' <xsl:apply-templates mode="rtl" select="*[2]"/>' +
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' </m:msup>' +
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'</xsl:template>' +
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'<xsl:template match="m:msqrt" mode="rtl">' +
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' <m:menclose notation="top right">' +
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' <xsl:apply-templates mode="rtl" select="@*|*[1]"/>' +
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' </m:menclose>' +
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'</xsl:template><xsl:template match="m:mtable|m:munder|m:mover|m:munderover" mode="rtl" priority="2">' +
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' <xsl:copy>' +
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' <xsl:apply-templates select="@*" mode="rtl"/>' +
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' <xsl:apply-templates mode="rtl">' +
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' </xsl:apply-templates>' +
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' </xsl:copy>' +
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'</xsl:template>' +
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'<xsl:template match="m:msup" mode="rtl" priority="2">' +
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' <m:mmultiscripts>' +
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' <xsl:apply-templates select="*[1]" mode="rtl"/>' +
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' <m:mprescripts/>' +
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' <m:none/>' +
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' <xsl:apply-templates select="*[2]" mode="rtl"/>' +
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' </m:mmultiscripts>' +
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'</xsl:template>' +
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'<xsl:template match="m:msub" mode="rtl" priority="2">' +
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' <m:mmultiscripts>' +
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' <xsl:apply-templates select="*[1]" mode="rtl"/>' +
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' <m:mprescripts/>' +
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' <xsl:apply-templates select="*[2]" mode="rtl"/>' +
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' <m:none/>' +
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' </m:mmultiscripts>' +
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'</xsl:template>' +
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'<xsl:template match="m:msubsup" mode="rtl" priority="2">' +
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' <m:mmultiscripts>' +
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' <xsl:apply-templates select="*[1]" mode="rtl"/>' +
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' <m:mprescripts/>' +
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' <xsl:apply-templates select="*[2]" mode="rtl"/>' +
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' <xsl:apply-templates select="*[3]" mode="rtl"/>' +
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' </m:mmultiscripts>' +
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'</xsl:template>' +
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'<xsl:template match="m:mmultiscripts" mode="rtl" priority="2">' +
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' <m:mmultiscripts>' +
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' <xsl:apply-templates select="*[1]" mode="rtl"/>' +
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' <xsl:for-each select="m:mprescripts/following-sibling::*[position() mod 2 = 1]">' +
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' <xsl:sort data-type="number" order="descending" select="position()"/>' +
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' <xsl:apply-templates select="." mode="rtl"/>' +
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' <xsl:apply-templates select="following-sibling::*[1]" mode="rtl"/>' +
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' </xsl:for-each>' +
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' <m:mprescripts/>' +
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' <xsl:for-each select="m:mprescripts/preceding-sibling::*[position()!=last()][position() mod 2 = 0]">' +
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' <xsl:sort data-type="number" order="descending" select="position()"/>' +
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' <xsl:apply-templates select="." mode="rtl"/>' +
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' <xsl:apply-templates select="following-sibling::*[1]" mode="rtl"/>' +
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' </xsl:for-each>' +
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' </m:mmultiscripts>' +
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'</xsl:template>' +
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'<xsl:template match="m:mmultiscripts[not(m:mprescripts)]" mode="rtl" priority="3">' +
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' <m:mmultiscripts>' +
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' <xsl:apply-templates select="*[1]" mode="rtl"/>' +
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' <m:mprescripts/>' +
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' <xsl:for-each select="*[position() mod 2 = 0]">' +
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' <xsl:sort data-type="number" order="descending" select="position()"/>' +
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' <xsl:apply-templates select="." mode="rtl"/>' +
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' <xsl:apply-templates select="following-sibling::*[1]" mode="rtl"/>' +
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' </xsl:for-each>' +
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' </m:mmultiscripts>' +
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'</xsl:template>' +
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'<xsl:template match="text()[.=\'(\']" mode="rtl">)</xsl:template>' +
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'<xsl:template match="text()[.=\')\']" mode="rtl">(</xsl:template>' +
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'<xsl:template match="text()[.=\'{\']" mode="rtl">}</xsl:template>' +
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'<xsl:template match="text()[.=\'}\']" mode="rtl">{</xsl:template>' +
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'<xsl:template match="text()[.=\'<\']" mode="rtl">></xsl:template>' +
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'<xsl:template match="text()[.=\'>\']" mode="rtl"><</xsl:template>' +
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'<xsl:template match="text()[.=\'∈\']" mode="rtl">∋</xsl:template>' +
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'<xsl:template match="text()[.=\'∋\']" mode="rtl">∈</xsl:template>' +
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'<xsl:template match="@notation[.=\'radical\']" mode="rtl">' +
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' <xsl:attribute name="notation">top right</xsl:attribute>' +
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'</xsl:template>' +
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'<xsl:template match="m:mlongdiv|m:mstack" mode="rtl">' +
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' <m:mrow dir="ltr">' +
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' <xsl:apply-templates select="."/>' +
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' </m:mrow>' +
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'</xsl:template>' +
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'<xsl:template match="m:mstack" priority="11">' +
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' <xsl:variable name="m">' +
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' <m:mtable columnspacing="0em">' +
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' <xsl:copy-of select="@align"/>' +
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' <xsl:variable name="t">' +
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' <xsl:apply-templates select="*" mode="mstack1">' +
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' <xsl:with-param name="p" select="0"/>' +
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' </xsl:apply-templates>' +
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' </xsl:variable>' +
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' <xsl:variable name="maxl">' +
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' <xsl:for-each select="c:node-set($t)/*/@l">' +
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' <xsl:sort data-type="number" order="descending"/>' +
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' <xsl:if test="position()=1">' +
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' <xsl:value-of select="."/>' +
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' </xsl:if>' +
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' </xsl:for-each>' +
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' </xsl:variable>' +
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' <xsl:for-each select="c:node-set($t)/*[not(@class=\'mscarries\') or following-sibling::*[1]/@class=\'mscarries\']">' +
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'<xsl:variable name="c" select="preceding-sibling::*[1][@class=\'mscarries\']"/>' +
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' <xsl:text> </xsl:text>' +
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' <m:mtr>' +
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' <xsl:copy-of select="@class[.=\'msline\']"/>' +
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' <xsl:variable name="offset" select="$maxl - @l"/>' +
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' <xsl:choose>' +
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' <xsl:when test="@class=\'msline\' and @l=\'*\'">' +
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' <xsl:variable name="msl" select="*[1]"/>' +
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' <xsl:for-each select="(//node())[position()<=$maxl]">' +
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' <xsl:copy-of select="$msl"/>' +
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' </xsl:for-each>' +
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' </xsl:when>' +
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' <xsl:when test="$c">' +
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' <xsl:variable name="ldiff" select="$c/@l - @l"/>' +
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' <xsl:variable name="loffset" select="$maxl - $c/@l"/>' +
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' <xsl:for-each select="(//*)[position()<= $offset]">' +
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' <xsl:variable name="pn" select="position()"/>' +
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' <xsl:variable name="cy" select="$c/*[position()=$pn - $loffset]"/>' +
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' <m:mtd>' +
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' <xsl:if test="$cy/*">' +
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' <m:mover><m:mphantom><m:mn>0</m:mn></m:mphantom><m:mpadded width="0em" lspace="-0.5width">' +
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' <xsl:copy-of select="$cy/*"/></m:mpadded></m:mover>' +
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' </xsl:if>' +
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' </m:mtd>' +
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' </xsl:for-each>' +
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' <xsl:for-each select="*">' +
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' <xsl:variable name="pn" select="position()"/>' +
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' <xsl:variable name="cy" select="$c/*[position()=$pn + $ldiff]"/>' +
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' <xsl:copy>' +
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' <xsl:copy-of select="@*"/>' +
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' <xsl:variable name="b">' +
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' <xsl:choose>' +
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' <xsl:when test="not(string($cy/@crossout) or $cy/@crossout=\'none\')"><xsl:copy-of select="*"/></xsl:when>' +
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' <xsl:otherwise>' +
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' <m:menclose notation="{$cy/@crossout}"><xsl:copy-of select="*"/></m:menclose>' +
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' </xsl:otherwise>' +
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' </xsl:choose>' +
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' </xsl:variable>' +
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' <xsl:choose>' +
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' <xsl:when test="$cy/m:none or not($cy/*)"><xsl:copy-of select="$b"/></xsl:when>' +
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' <xsl:when test="not(string($cy/@location)) or $cy/@location=\'n\'">' +
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' <m:mover>' +
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' <xsl:copy-of select="$b"/><m:mpadded width="0em" lspace="-0.5width">' +
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' <xsl:copy-of select="$cy/*"/>' +
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' </m:mpadded>' +
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' </m:mover>' +
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' </xsl:when>' +
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' <xsl:when test="$cy/@location=\'nw\'">' +
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' <m:mmultiscripts><xsl:copy-of select="$b"/><m:mprescripts/><m:none/><m:mpadded lspace="-1width" width="0em"><xsl:copy-of select="$cy/*"/></m:mpadded></m:mmultiscripts>' +
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' </xsl:when>' +
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' <xsl:when test="$cy/@location=\'s\'">' +
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' <m:munder><xsl:copy-of select="$b"/><m:mpadded width="0em" lspace="-0.5width"><xsl:copy-of select="$cy/*"/></m:mpadded></m:munder>' +
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' </xsl:when>' +
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' <xsl:when test="$cy/@location=\'sw\'">' +
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' <m:mmultiscripts><xsl:copy-of select="$b"/><m:mprescripts/><m:mpadded lspace="-1width" width="0em"><xsl:copy-of select="$cy/*"/></m:mpadded><m:none/></m:mmultiscripts>' +
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' </xsl:when>' +
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' <xsl:when test="$cy/@location=\'ne\'">' +
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' <m:msup><xsl:copy-of select="$b"/><m:mpadded width="0em"><xsl:copy-of select="$cy/*"/></m:mpadded></m:msup>' +
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' </xsl:when>' +
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' <xsl:when test="$cy/@location=\'se\'">' +
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' <m:msub><xsl:copy-of select="$b"/><m:mpadded width="0em"><xsl:copy-of select="$cy/*"/></m:mpadded></m:msub>' +
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' </xsl:when>' +
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' <xsl:when test="$cy/@location=\'w\'">' +
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' <m:msup><m:mrow/><m:mpadded lspace="-1width" width="0em"><xsl:copy-of select="$cy/*"/></m:mpadded></m:msup>' +
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' <xsl:copy-of select="$b"/>' +
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' </xsl:when>' +
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' <xsl:when test="$cy/@location=\'e\'">' +
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' <xsl:copy-of select="$b"/>' +
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' <m:msup><m:mrow/><m:mpadded width="0em"><xsl:copy-of select="$cy/*"/></m:mpadded></m:msup>' +
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' </xsl:when>' +
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' <xsl:otherwise>' +
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' <xsl:copy-of select="$b"/>' +
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' </xsl:otherwise>' +
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' </xsl:choose>' +
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' </xsl:copy>' +
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' </xsl:for-each>' +
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' </xsl:when>' +
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' <xsl:otherwise>' +
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' <xsl:for-each select="(//*)[position()<= $offset]"><m:mtd/></xsl:for-each>' +
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' <xsl:copy-of select="*"/>' +
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' </xsl:otherwise>' +
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' </xsl:choose>' +
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' </m:mtr>' +
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' </xsl:for-each>' +
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' </m:mtable>' +
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'</xsl:variable>' +
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'<xsl:apply-templates mode="ml" select="c:node-set($m)"/>' +
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'</xsl:template>' +
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'<xsl:template match="*" mode="ml">' +
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' <xsl:copy>' +
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' <xsl:copy-of select="@*"/>' +
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' <xsl:apply-templates mode="ml"/>' +
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' </xsl:copy>' +
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'</xsl:template>' +
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'<xsl:template mode="ml" match="m:mtr[following-sibling::*[1][@class=\'msline\']]">' +
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' <m:mtr>' +
|
|
' <xsl:copy-of select="@*"/>' +
|
|
' <xsl:variable name="m" select="following-sibling::*[1]/m:mtd"/>' +
|
|
' <xsl:for-each select="m:mtd">' +
|
|
' <xsl:variable name="p" select="position()"/>' +
|
|
' <m:mtd>' +
|
|
' <xsl:copy-of select="@*"/>' +
|
|
' <xsl:choose>' +
|
|
' <xsl:when test="$m[$p]/m:mpadded">' +
|
|
' <m:menclose notation="bottom">' +
|
|
' <m:mpadded depth=".1em" height="1em" width=".4em">' +
|
|
' <xsl:copy-of select="*"/>' +
|
|
' </m:mpadded>' +
|
|
' </m:menclose>' +
|
|
' </xsl:when>' +
|
|
' <xsl:otherwise>' +
|
|
' <xsl:copy-of select="*"/>' +
|
|
' </xsl:otherwise>' +
|
|
' </xsl:choose>' +
|
|
' </m:mtd>' +
|
|
' </xsl:for-each>' +
|
|
' </m:mtr>' +
|
|
'</xsl:template><xsl:template mode="ml" match="m:mtr[not(preceding-sibling::*)][@class=\'msline\']" priority="3">' +
|
|
' <m:mtr>' +
|
|
' <xsl:copy-of select="@*"/>' +
|
|
' <xsl:for-each select="m:mtd">' +
|
|
' <m:mtd>' +
|
|
' <xsl:copy-of select="@*"/>' +
|
|
' <xsl:if test="m:mpadded">' +
|
|
' <m:menclose notation="bottom">' +
|
|
' <m:mpadded depth=".1em" height="1em" width=".4em">' +
|
|
' <m:mspace width=".2em"/>' +
|
|
' </m:mpadded>' +
|
|
' </m:menclose>' +
|
|
' </xsl:if>' +
|
|
' </m:mtd>' +
|
|
' </xsl:for-each>' +
|
|
' </m:mtr>' +
|
|
'</xsl:template><xsl:template mode="ml" match="m:mtr[@class=\'msline\']" priority="2"/>' +
|
|
'<xsl:template mode="mstack1" match="*">' +
|
|
' <xsl:param name="p"/>' +
|
|
' <xsl:param name="maxl" select="0"/>' +
|
|
' <m:mtr l="{1 + $p}">' +
|
|
' <xsl:if test="ancestor::mstack[1]/@stackalign=\'left\'">' +
|
|
' <xsl:attribute name="l"><xsl:value-of select="$p"/></xsl:attribute>' +
|
|
' </xsl:if>' +
|
|
' <m:mtd><xsl:apply-templates select="."/></m:mtd>' +
|
|
' </m:mtr>' +
|
|
'</xsl:template>' +
|
|
'<xsl:template mode="mstack1" match="m:msrow">' +
|
|
' <xsl:param name="p"/>' +
|
|
' <xsl:param name="maxl" select="0"/>' +
|
|
' <xsl:variable name="align1" select="ancestor::m:mstack[1]/@stackalign"/>' +
|
|
' <xsl:variable name="align">' +
|
|
' <xsl:choose>' +
|
|
' <xsl:when test="string($align1)=\'\'">decimalpoint</xsl:when>' +
|
|
' <xsl:otherwise><xsl:value-of select="$align1"/></xsl:otherwise>' +
|
|
' </xsl:choose>' +
|
|
' </xsl:variable>' +
|
|
' <xsl:variable name="row">' +
|
|
' <xsl:apply-templates mode="mstack1" select="*">' +
|
|
' <xsl:with-param name="p" select="0"/>' +
|
|
' </xsl:apply-templates>' +
|
|
' </xsl:variable>' +
|
|
' <xsl:text> </xsl:text>' +
|
|
' <xsl:variable name="l1">' +
|
|
' <xsl:choose>' +
|
|
' <xsl:when test="$align=\'decimalpoint\' and m:mn">' +
|
|
' <xsl:for-each select="c:node-set($row)/m:mtr[m:mtd/m:mn][1]">' +
|
|
' <xsl:value-of select="number(sum(@l))+count(preceding-sibling::*/@l)"/>' +
|
|
' </xsl:for-each>' +
|
|
' </xsl:when>' +
|
|
' <xsl:when test="$align=\'right\' or $align=\'decimalpoint\'">' +
|
|
' <xsl:value-of select="count(c:node-set($row)/m:mtr/m:mtd)"/>' +
|
|
' </xsl:when>' +
|
|
' <xsl:otherwise>' +
|
|
' <xsl:value-of select="0"/>' +
|
|
' </xsl:otherwise>' +
|
|
' </xsl:choose>' +
|
|
' </xsl:variable>' +
|
|
' <m:mtr class="msrow" l="{number($l1) + number(sum(@position)) +$p}">' +
|
|
' <xsl:copy-of select="c:node-set($row)/m:mtr/*"/>' +
|
|
' </m:mtr>' +
|
|
'</xsl:template><xsl:template mode="mstack1" match="m:mn">' +
|
|
' <xsl:param name="p"/>' +
|
|
' <xsl:variable name="align1" select="ancestor::m:mstack[1]/@stackalign"/>' +
|
|
' <xsl:variable name="dp1" select="ancestor::*[@decimalpoint][1]/@decimalpoint"/>' +
|
|
' <xsl:variable name="align">' +
|
|
' <xsl:choose>' +
|
|
' <xsl:when test="string($align1)=\'\'">decimalpoint</xsl:when>' +
|
|
' <xsl:otherwise><xsl:value-of select="$align1"/></xsl:otherwise>' +
|
|
' </xsl:choose>' +
|
|
' </xsl:variable>' +
|
|
' <xsl:variable name="dp">' +
|
|
' <xsl:choose>' +
|
|
' <xsl:when test="string($dp1)=\'\'">.</xsl:when>' +
|
|
' <xsl:otherwise><xsl:value-of select="$dp1"/></xsl:otherwise>' +
|
|
' </xsl:choose>' +
|
|
' </xsl:variable>' +
|
|
' <m:mtr l="$p">' +
|
|
' <xsl:variable name="mn" select="normalize-space(.)"/>' +
|
|
' <xsl:variable name="len" select="string-length($mn)"/>' +
|
|
' <xsl:choose>' +
|
|
' <xsl:when test="$align=\'right\' or ($align=\'decimalpoint\' and not(contains($mn,$dp)))">' +
|
|
' <xsl:attribute name="l"><xsl:value-of select="$p + $len"/></xsl:attribute>' +
|
|
' </xsl:when>' +
|
|
' <xsl:when test="$align=\'center\'">' +
|
|
' <xsl:attribute name="l"><xsl:value-of select="round(($p + $len) div 2)"/></xsl:attribute>' +
|
|
' </xsl:when>' +
|
|
' <xsl:when test="$align=\'decimalpoint\'">' +
|
|
' <xsl:attribute name="l"><xsl:value-of select="$p + string-length(substring-before($mn,$dp))"/></xsl:attribute>' +
|
|
' </xsl:when>' +
|
|
' </xsl:choose> <xsl:for-each select="(//node())[position() <=$len]">' +
|
|
' <xsl:variable name="pos" select="position()"/>' +
|
|
' <m:mtd><m:mn><xsl:value-of select="substring($mn,$pos,1)"/></m:mn></m:mtd>' +
|
|
' </xsl:for-each>' +
|
|
' </m:mtr>' +
|
|
'</xsl:template>' +
|
|
'<xsl:template match="m:msgroup" mode="mstack1">' +
|
|
' <xsl:param name="p"/>' +
|
|
' <xsl:variable name="s" select="number(sum(@shift))"/>' +
|
|
' <xsl:variable name="thisp" select="number(sum(@position))"/>' +
|
|
' <xsl:for-each select="*">' +
|
|
' <xsl:apply-templates mode="mstack1" select=".">' +
|
|
' <xsl:with-param name="p" select="number($p)+$thisp+(position()-1)*$s"/>' +
|
|
' </xsl:apply-templates>' +
|
|
' </xsl:for-each>' +
|
|
'</xsl:template>' +
|
|
'<xsl:template match="m:msline" mode="mstack1">' +
|
|
' <xsl:param name="p"/>' +
|
|
' <xsl:variable name="align1" select="ancestor::m:mstack[1]/@stackalign"/>' +
|
|
' <xsl:variable name="align">' +
|
|
' <xsl:choose>' +
|
|
' <xsl:when test="string($align1)=\'\'">decimalpoint</xsl:when>' +
|
|
' <xsl:otherwise><xsl:value-of select="$align1"/></xsl:otherwise>' +
|
|
' </xsl:choose>' +
|
|
' </xsl:variable>' +
|
|
' <m:mtr class="msline">' +
|
|
' <xsl:attribute name="l">' +
|
|
' <xsl:choose>' +
|
|
' <xsl:when test="not(string(@length)) or @length=0">*</xsl:when>' +
|
|
' <xsl:when test="string($align)=\'right\' or string($align)=\'decimalpoint\' "><xsl:value-of select="$p+ @length"/></xsl:when>' +
|
|
' <xsl:otherwise><xsl:value-of select="$p"/></xsl:otherwise>' +
|
|
' </xsl:choose>' +
|
|
' </xsl:attribute>' +
|
|
' <xsl:variable name="w">' +
|
|
' <xsl:choose>' +
|
|
' <xsl:when test="@mslinethickness=\'thin\'">0.1em</xsl:when>' +
|
|
' <xsl:when test="@mslinethickness=\'medium\'">0.15em</xsl:when>' +
|
|
' <xsl:when test="@mslinethickness=\'thick\'">0.2em</xsl:when>' +
|
|
' <xsl:when test="@mslinethickness"><xsl:value-of select="@mslinethickness"/></xsl:when>' +
|
|
' <xsl:otherwise>0.15em</xsl:otherwise>' +
|
|
' </xsl:choose>' +
|
|
' </xsl:variable>' +
|
|
' <xsl:choose>' +
|
|
' <xsl:when test="not(string(@length)) or @length=0">' +
|
|
' <m:mtd class="mslinemax">' +
|
|
' <m:mpadded lspace="-0.2em" width="0em" height="0em">' +
|
|
' <m:mfrac linethickness="{$w}">' +
|
|
' <m:mspace width=".4em"/>' +
|
|
' <m:mrow/>' +
|
|
' </m:mfrac>' +
|
|
' </m:mpadded>' +
|
|
' </m:mtd>' +
|
|
' </xsl:when>' +
|
|
' <xsl:otherwise>' +
|
|
' <xsl:variable name="l" select="@length"/>' +
|
|
' <xsl:for-each select="(//node())[position()<=$l]">' +
|
|
' <m:mtd class="msline">' +
|
|
' <m:mpadded lspace="-0.2em" width="0em" height="0em">' +
|
|
' <m:mfrac linethickness="{$w}">' +
|
|
' <m:mspace width=".4em"/>' +
|
|
' <m:mrow/>' +
|
|
' </m:mfrac>' +
|
|
' </m:mpadded>' +
|
|
' </m:mtd>' +
|
|
' </xsl:for-each>' +
|
|
' </xsl:otherwise>' +
|
|
' </xsl:choose>' +
|
|
' </m:mtr>' +
|
|
'</xsl:template>' +
|
|
'<xsl:template match="m:mscarries" mode="mstack1">' +
|
|
' <xsl:param name="p"/>' +
|
|
' <xsl:variable name="align1" select="ancestor::m:mstack[1]/@stackalign"/>' +
|
|
' <xsl:variable name="l1">' +
|
|
' <xsl:choose>' +
|
|
' <xsl:when test="string($align1)=\'left\'">0</xsl:when>' +
|
|
' <xsl:otherwise><xsl:value-of select="count(*)"/></xsl:otherwise>' +
|
|
' </xsl:choose>' +
|
|
' </xsl:variable>' +
|
|
' <m:mtr class="mscarries" l="{$p + $l1 + sum(@position)}">' +
|
|
' <xsl:apply-templates select="*" mode="msc"/>' +
|
|
' </m:mtr>' +
|
|
'</xsl:template><xsl:template match="*" mode="msc">' +
|
|
' <m:mtd>' +
|
|
' <xsl:copy-of select="../@location|../@crossout"/>' +
|
|
' <xsl:choose>' +
|
|
' <xsl:when test="../@scriptsizemultiplier">' +
|
|
' <m:mstyle mathsize="{round(../@scriptsizemultiplier div .007)}%">' +
|
|
' <xsl:apply-templates select="."/>' +
|
|
' </m:mstyle>' +
|
|
' </xsl:when>' +
|
|
' <xsl:otherwise>' +
|
|
' <xsl:apply-templates select="."/>' +
|
|
' </xsl:otherwise>' +
|
|
' </xsl:choose>' +
|
|
' </m:mtd>' +
|
|
'</xsl:template><xsl:template match="m:mscarry" mode="msc">' +
|
|
' <m:mtd>' +
|
|
' <xsl:copy-of select="@location|@crossout"/>' +
|
|
' <xsl:choose>' +
|
|
' <xsl:when test="../@scriptsizemultiplier">' +
|
|
' <m:mstyle mathsize="{round(../@scriptsizemultiplier div .007)}%">' +
|
|
' <xsl:apply-templates/>' +
|
|
' </m:mstyle>' +
|
|
' </xsl:when>' +
|
|
' <xsl:otherwise>' +
|
|
' <xsl:apply-templates/>' +
|
|
' </xsl:otherwise>' +
|
|
' </xsl:choose>' +
|
|
' </m:mtd>' +
|
|
'</xsl:template>' +
|
|
'<xsl:template match="m:mlongdiv" priority="11">' +
|
|
' <xsl:variable name="ms">' +
|
|
' <m:mstack>' +
|
|
' <xsl:copy-of select="(ancestor-or-self::*/@decimalpoint)[last()]"/>' +
|
|
' <xsl:choose>' +
|
|
' <xsl:when test="@longdivstyle=\'left)(right\'">' +
|
|
' <m:msrow>' +
|
|
' <m:mrow><xsl:copy-of select="*[1]"/></m:mrow>' +
|
|
' <m:mo>)</m:mo>' +
|
|
' <xsl:copy-of select="*[3]"/>' +
|
|
' <m:mo>(</m:mo>' +
|
|
' <xsl:copy-of select="*[2]"/>' +
|
|
' </m:msrow>' +
|
|
' </xsl:when>' +
|
|
' <xsl:when test="@longdivstyle=\'left/\right\'">' +
|
|
' <m:msrow>' +
|
|
' <m:mrow><xsl:copy-of select="*[1]"/></m:mrow>' +
|
|
' <m:mo>/</m:mo>' +
|
|
' <xsl:copy-of select="*[3]"/>' +
|
|
' <m:mo>\</m:mo>' +
|
|
' <xsl:copy-of select="*[2]"/>' +
|
|
' </m:msrow>' +
|
|
' </xsl:when>' +
|
|
' <xsl:when test="@longdivstyle=\':right=right\'">' +
|
|
' <m:msrow>' +
|
|
' <xsl:copy-of select="*[3]"/>' +
|
|
' <m:mo>:</m:mo>' +
|
|
' <xsl:copy-of select="*[1]"/>' +
|
|
' <m:mo>=</m:mo>' +
|
|
' <xsl:copy-of select="*[2]"/>' +
|
|
' </m:msrow>' +
|
|
' </xsl:when>' +
|
|
' <xsl:when test="@longdivstyle=\'stackedrightright\'' +
|
|
' or @longdivstyle=\'mediumstackedrightright\'' +
|
|
' or @longdivstyle=\'shortstackedrightright\'' +
|
|
' or @longdivstyle=\'stackedleftleft\'' +
|
|
' ">' +
|
|
' <xsl:attribute name="align">top</xsl:attribute>' +
|
|
' <xsl:copy-of select="*[3]"/>' +
|
|
' </xsl:when>' +
|
|
' <xsl:when test="@longdivstyle=\'stackedleftlinetop\'">' +
|
|
' <xsl:copy-of select="*[2]"/>' +
|
|
' <m:msline length="{string-length(*[3])-1}"/>' +
|
|
' <m:msrow>' +
|
|
' <m:mrow>' +
|
|
' <m:menclose notation="bottom right">' +
|
|
' <xsl:copy-of select="*[1]"/>' +
|
|
' </m:menclose>' +
|
|
' </m:mrow>' +
|
|
' <xsl:copy-of select="*[3]"/>' +
|
|
' </m:msrow>' +
|
|
' </xsl:when>' +
|
|
' <xsl:when test="@longdivstyle=\'righttop\'">' +
|
|
' <xsl:copy-of select="*[2]"/>' +
|
|
' <m:msline length="{string-length(*[3])}"/>' +
|
|
' <m:msrow>' +
|
|
' <xsl:copy-of select="*[3]"/>' +
|
|
' <m:menclose notation="top left bottom">' +
|
|
' <xsl:copy-of select="*[1]"/></m:menclose>' +
|
|
' </m:msrow>' +
|
|
' </xsl:when>' +
|
|
' <xsl:otherwise>' +
|
|
' <xsl:copy-of select="*[2]"/>' +
|
|
' <m:msline length="{string-length(*[3])}"/>' +
|
|
' <m:msrow>' +
|
|
' <m:mrow><xsl:copy-of select="*[1]"/></m:mrow>' +
|
|
' <m:mo>)</m:mo>' +
|
|
' <xsl:copy-of select="*[3]"/>' +
|
|
' </m:msrow>' +
|
|
' </xsl:otherwise>' +
|
|
' </xsl:choose>' +
|
|
' <xsl:copy-of select="*[position()>3]"/>' +
|
|
' </m:mstack>' +
|
|
' </xsl:variable>' +
|
|
' <xsl:choose>' +
|
|
' <xsl:when test="@longdivstyle=\'stackedrightright\'">' +
|
|
' <m:menclose notation="right">' +
|
|
' <xsl:apply-templates select="c:node-set($ms)"/>' +
|
|
' </m:menclose>' +
|
|
' <m:mtable align="top">' +
|
|
' <m:mtr>' +
|
|
' <m:menclose notation="bottom">' +
|
|
' <xsl:copy-of select="*[1]"/>' +
|
|
' </m:menclose>' +
|
|
' </m:mtr>' +
|
|
' <m:mtr>' +
|
|
' <mtd><xsl:copy-of select="*[2]"/></mtd>' +
|
|
' </m:mtr>' +
|
|
' </m:mtable>' +
|
|
' </xsl:when>' +
|
|
' <xsl:when test="@longdivstyle=\'mediumstackedrightright\'">' +
|
|
' <xsl:apply-templates select="c:node-set($ms)"/>' +
|
|
' <m:menclose notation="left">' +
|
|
' <m:mtable align="top">' +
|
|
' <m:mtr>' +
|
|
' <m:menclose notation="bottom">' +
|
|
' <xsl:copy-of select="*[1]"/>' +
|
|
' </m:menclose>' +
|
|
' </m:mtr>' +
|
|
' <m:mtr>' +
|
|
' <mtd><xsl:copy-of select="*[2]"/></mtd>' +
|
|
' </m:mtr>' +
|
|
' </m:mtable>' +
|
|
' </m:menclose>' +
|
|
' </xsl:when>' +
|
|
' <xsl:when test="@longdivstyle=\'shortstackedrightright\'">' +
|
|
' <xsl:apply-templates select="c:node-set($ms)"/>' +
|
|
' <m:mtable align="top">' +
|
|
' <m:mtr>' +
|
|
' <m:menclose notation="left bottom">' +
|
|
' <xsl:copy-of select="*[1]"/>' +
|
|
' </m:menclose>' +
|
|
' </m:mtr>' +
|
|
' <m:mtr>' +
|
|
' <mtd><xsl:copy-of select="*[2]"/></mtd>' +
|
|
' </m:mtr>' +
|
|
' </m:mtable>' +
|
|
' </xsl:when>' +
|
|
' <xsl:when test="@longdivstyle=\'stackedleftleft\'">' +
|
|
' <m:mtable align="top">' +
|
|
' <m:mtr>' +
|
|
' <m:menclose notation="bottom">' +
|
|
' <xsl:copy-of select="*[1]"/>' +
|
|
' </m:menclose>' +
|
|
' </m:mtr>' +
|
|
' <m:mtr>' +
|
|
' <mtd><xsl:copy-of select="*[2]"/></mtd>' +
|
|
' </m:mtr>' +
|
|
' </m:mtable>' +
|
|
' <m:menclose notation="left">' +
|
|
' <xsl:apply-templates select="c:node-set($ms)"/>' +
|
|
' </m:menclose>' +
|
|
' </xsl:when>' +
|
|
' <xsl:otherwise>' +
|
|
' <xsl:apply-templates select="c:node-set($ms)"/>' +
|
|
' </xsl:otherwise>' +
|
|
' </xsl:choose>' +
|
|
'</xsl:template>' +
|
|
'<xsl:template match="m:menclose[@notation=\'madruwb\']" mode="rtl">' +
|
|
' <m:menclose notation="bottom right">' +
|
|
' <xsl:apply-templates mode="rtl"/>' +
|
|
' </m:menclose>' +
|
|
'</xsl:template></xsl:stylesheet>';
|
|
|
|
/*
|
|
* End of mml3mj.xsl material.
|
|
*/
|
|
|
|
var mml3;
|
|
if (window.XSLTProcessor) {
|
|
// standard method: just use an XSLTProcessor and parse the stylesheet
|
|
if (!MATHML.ParseXML) {MATHML.ParseXML = MATHML.createParser()}
|
|
MATHML.mml3XSLT = new XSLTProcessor();
|
|
MATHML.mml3XSLT.importStylesheet(MATHML.ParseXML(mml3Stylesheet));
|
|
} else if (MathJax.Hub.Browser.isMSIE) {
|
|
// nonstandard methods for Internet Explorer
|
|
if (MathJax.Hub.Browser.versionAtLeast("9.0") || (document.documentMode||0) >= 9) {
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|
// For Internet Explorer >= 9, use createProcessor
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|
mml3 = new ActiveXObject("Msxml2.FreeThreadedDOMDocument");
|
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mml3.loadXML(mml3Stylesheet);
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|
var xslt = new ActiveXObject("Msxml2.XSLTemplate");
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xslt.stylesheet = mml3;
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|
MATHML.mml3XSLT = {
|
|
mml3: xslt.createProcessor(),
|
|
transformToDocument: function(doc) {
|
|
this.mml3.input = doc;
|
|
this.mml3.transform();
|
|
return this.mml3.output;
|
|
}
|
|
}
|
|
} else {
|
|
// For Internet Explorer <= 8, use transformNode
|
|
mml3 = MATHML.createMSParser();
|
|
mml3.async = false;
|
|
mml3.loadXML(mml3Stylesheet);
|
|
MATHML.mml3XSLT = {
|
|
mml3: mml3,
|
|
transformToDocument: function(doc) {
|
|
return doc.documentElement.transformNode(this.mml3);
|
|
}
|
|
}
|
|
}
|
|
} else {
|
|
// No XSLT support. Do not change the <math> content.
|
|
MATHML.mml3XSLT = null;
|
|
}
|
|
|
|
// Tweak CSS to avoid some browsers rearranging HTML output
|
|
MathJax.Ajax.Styles({
|
|
".MathJax .mi, .MathJax .mo, .MathJax .mn, .MathJax .mtext": {
|
|
direction: "ltr",
|
|
display: "inline-block"
|
|
},
|
|
".MathJax .ms, .MathJax .mspace, .MathJax .mglyph": {
|
|
direction: "ltr",
|
|
display: "inline-block"
|
|
}
|
|
});
|
|
|
|
MathJax.Hub.Startup.signal.Post("MathML mml3.js Ready");
|
|
});
|
|
|
|
MathJax.Ajax.loadComplete("[MathJax]/extensions/MathML/mml3.js");
|