Added: MathJax (minimal) v2.7.5 (#75)

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nobody 2021-05-26 06:56:35 +02:00
parent 5f977b68a4
commit 6ee175eabb
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49 changed files with 1277 additions and 2 deletions

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@ -27,6 +27,7 @@
"IgnoredHost": true,
"EncodingTypes": true,
"ExtraInfoSpec": true,
"MathJaxFiles": true,
"fileGuard": true,
"files": true,

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@ -950,6 +950,46 @@ https://cdnjs.cloudflare.com/ajax/libs/materialize/0.97.8/css/materialize.min.cs
https://cdnjs.cloudflare.com/ajax/libs/materialize/0.97.8/js/materialize.min.js
https://cdnjs.cloudflare.com/ajax/libs/materialize/1.0.0/css/materialize.min.css
https://cdnjs.cloudflare.com/ajax/libs/materialize/1.0.0/js/materialize.min.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/config/TeX-AMS_HTML-full.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/config/TeX-MML-AM_CHTML.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/extensions/MathMenu.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/extensions/MathZoom.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/extensions/TeX/begingroup.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/extensions/TeX/mhchem3/mhchem.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/jax/element/mml/optable/BasicLatin.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/jax/element/mml/optable/Latin1Supplement.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/jax/element/mml/optable/MathOperators.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/jax/output/CommonHTML/autoload/mtable.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/jax/output/CommonHTML/fonts/TeX/fontdata.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/jax/output/CommonHTML/jax.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/jax/output/HTML-CSS/autoload/menclose.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/jax/output/HTML-CSS/autoload/multiline.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/jax/output/HTML-CSS/config.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Arrows.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BoxDrawing.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/CombDiacritMarks.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Dingbats.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/EnclosedAlphanum.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeneralPunctuation.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeometricShapes.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GreekAndCoptic.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Latin1Supplement.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LatinExtendedA.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LetterlikeSymbols.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Main.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MathOperators.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscTechnical.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/PUA.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SpacingModLetters.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SuppMathOperators.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/jax/output/HTML-CSS/fonts/TeX/fontdata-extra.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/jax/output/HTML-CSS/fonts/TeX/fontdata.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/jax/output/HTML-CSS/imageFonts.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/jax/output/HTML-CSS/jax.js
https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js
https://cdnjs.cloudflare.com/ajax/libs/mdbootstrap/4.19.1/css/mdb.min.css
https://cdnjs.cloudflare.com/ajax/libs/mdbootstrap/4.19.1/js/mdb.min.js
https://cdnjs.cloudflare.com/ajax/libs/mdb-ui-kit/3.5.0/mdb.min.css

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@ -659,6 +659,9 @@ function create_url() {
url="$JSDELIVR/npm/$folder@$version/dist/leaflet.featuregroup.subgroup.js"
elif [ "$folder" = "bodymovin" ] && [[ "$version" = 5* ]]; then
url="$CLOUDFLARE/$folder/$version/lottie.min.js"
elif [ "$folder" = "mathjax" ]; then
url=$(echo "$path" | cut -d"/" -f3-)
url="$CLOUDFLARE/$url"
else
if [ "$subfile" = "$jfile" ]; then
url="$CLOUDFLARE/$folder/$version/$subfile"

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@ -56,6 +56,7 @@ const Resource = {
'MAPPING_EXPRESSION': /\.map$/i,
'VERSION_EXPRESSION': /(?:\d{1,2}\.){1,3}\d{1,2}(?:-\d)?|latest/,
'SINGLE_NUMBER_EXPRESSION': /^\D+\d\D+$/,
'MATHJAX': /\/\w.*(?:\d{1,2}\.){1,3}\d{1,2}(?:-\d)?\/|\/latest\//,
'VERSION_PLACEHOLDER': '{version}'
};
@ -274,6 +275,54 @@ const IgnoredHost = {
'fonts.gstatic.com': true,
};
/**
* MathJax is a very large library with over 30,000 files.
* That is why it is better to specify each one here.
*
* https://codeberg.org/nobody/LocalCDN/issues/75
*/
const MathJaxFiles = {
'config/TeX-AMS_HTML-full.js': true,
'config/TeX-MML-AM_CHTML.js': true,
'extensions/TeX/begingroup.js': true,
'extensions/TeX/mhchem3/mhchem.js': true,
'extensions/MathMenu.js': true,
'extensions/MathZoom.js': true,
'jax/output/HTML-CSS/imageFonts.js': true,
'jax/output/HTML-CSS/fonts/TeX/fontdata-extra.js': true,
'jax/output/HTML-CSS/fonts/TeX/fontdata.js': true,
'jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Latin1Supplement.js': true,
'jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js': true,
'jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SuppMathOperators.js': true,
'jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MathOperators.js': true,
'jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Main.js': true,
'jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BoxDrawing.js': true,
'jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js': true,
'jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LetterlikeSymbols.js': true,
'jax/output/HTML-CSS/fonts/TeX/AMS/Regular/EnclosedAlphanum.js': true,
'jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Dingbats.js': true,
'jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LatinExtendedA.js': true,
'jax/output/HTML-CSS/fonts/TeX/AMS/Regular/CombDiacritMarks.js': true,
'jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscTechnical.js': true,
'jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Arrows.js': true,
'jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeometricShapes.js': true,
'jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeneralPunctuation.js': true,
'jax/output/HTML-CSS/fonts/TeX/AMS/Regular/PUA.js': true,
'jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SpacingModLetters.js': true,
'jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js': true,
'jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GreekAndCoptic.js': true,
'jax/output/HTML-CSS/autoload/multiline.js': true,
'jax/output/HTML-CSS/autoload/menclose.js': true,
'jax/output/HTML-CSS/jax.js': true,
'jax/output/HTML-CSS/config.js': true,
'jax/output/CommonHTML/fonts/TeX/fontdata.js': true,
'jax/output/CommonHTML/autoload/mtable.js': true,
'jax/output/CommonHTML/jax.js': true,
'jax/element/mml/optable/Latin1Supplement.js': true,
'jax/element/mml/optable/MathOperators.js': true,
'jax/element/mml/optable/BasicLatin.js': true,
};
// Supported charsets for TextDecoder()
// https://developer.mozilla.org/en-US/docs/Web/API/TextDecoder/TextDecoder
const EncodingTypes = {

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@ -343,6 +343,7 @@ mappings.cdn = {
'MaterialDesign-Webfont/{version}/css/materialdesignicons.': resources.materialDesign,
'materialize/{version}/css/materialize.': resources.materializeCSS,
'materialize/{version}/js/materialize.': resources.materializeJS,
'mathjax/{version}/': resources.mathJax,
'mdbootstrap/{version}/js/mdb.': resources.mdbootstrapJS,
'mdbootstrap/{version}/css/mdb.': resources.mdbootstrapCSS,
'mdb-ui-kit/{version}/mdb.js': resources.mdbUiKitJS,

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@ -166,16 +166,23 @@ requestAnalyzer._findLocalTarget = function (resourceMappings, basePath, channel
versionDelivered = versionDelivered.toString();
targetPath = targetPath.replace(versionNumber, versionDelivered);
versionRequested = versionNumber === null ? 'latest' : versionNumber[0];
if (versionNumber === null) {
versionDelivered = targetPath.match(Resource.VERSION_EXPRESSION).toString();
versionRequested = 'latest';
} else {
versionRequested = versionNumber[0];
}
// Get bundle name
bundle = targets.determineBundle(targetPath);
if (bundle !== '') {
filename = channelPath.split('/').pop();
if (bundle === 'MathJax (Bundle)' && filename !== 'MathJax.js') {
filename = channelPath.replace(Resource.MATHJAX, '');
if (!MathJaxFiles[filename]) {
break;
}
}
targetPath = (filename.endsWith('.js')) ? `${targetPath + filename}m` : targetPath + filename;
targetPath = helpers.formatFilename(targetPath);
}

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@ -587,6 +587,10 @@ var resources = {
'lozad': {
'path': 'resources/lozad.js/{version}/lozad.min.jsm'
},
// MathJax
'mathJax': {
'path': 'resources/mathjax/{version}/'
},
// magnific-popup.js [Deprecated]
'magnificPopupJS': {
'path': 'resources/magnific-popup.js/{version}/jquery.magnific-popup.min.jsm'

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@ -59,6 +59,8 @@ targets.determineBundle = function (path) {
val = 'Semantic UI';
} else if (path.startsWith('/datatables/')) {
val = 'DataTables';
} else if (path.startsWith('/mathjax/')) {
val = 'MathJax';
}
return val === '' ? val : `${val} (Bundle)`;
@ -431,6 +433,8 @@ targets.setLastVersion = function (type, version) {
} else if (type.startsWith('/materialize/0.')) {
if (helpers.compareVersion('0.97.8', version)) return '0.97.8'; // <= v0.97.8
return '0.100.2';
} else if (type.startsWith('/mathjax/2.') || type.startsWith('/mathjax/latest')) {
return '2.7.5';
} else if (type.startsWith('/mdb-ui-kit/3.')) {
return '3.5.0';
} else if (type.startsWith('/Modaal/0.')) {

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@ -28,6 +28,7 @@
<li>Fixed: bootstrap.min.js replaced with bootstrap.bundle.min.js (v4.x and v5.x) (<a href="https://codeberg.org/nobody/LocalCDN/issues/470">#470</a>)</li>
<li>Updated: Chart.js v3.2.1 -> v3.3.0 (<a href="https://codeberg.org/nobody/LocalCDN/issues/471">#471</a>)</li>
<li>Updated: appboy-web-sdk v3.2.0 -> v3.3.0 (<a href="https://codeberg.org/nobody/LocalCDN/issues/472">#472</a>)</li>
<li>Added: MathJax (minimal) v2.7.5 (<a href="https://codeberg.org/nobody/LocalCDN/issues/75">#75</a>)</li>
</ul>
<div id="generator-section">
<div class="topic-label">

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@ -0,0 +1,19 @@
/*
* /MathJax/extensions/TeX/begingroup.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Extension["TeX/begingroup"]={version:"2.7.5"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var d=MathJax.InputJax.TeX,b=d.Definitions;var a=MathJax.Object.Subclass({macros:null,environments:null,Init:function(e,f){this.macros=(e||{});this.environments=(f||{})},Find:function(e,f){if(this[f].hasOwnProperty(e)){return this[f][e]}},Def:function(e,g,f){this[f][e]=g},Undef:function(e,f){delete this[f][e]},Merge:function(e){MathJax.Hub.Insert(this.macros,e.macros);MathJax.Hub.Insert(this.environments,e.environments)},MergeGlobals:function(e){var f=this.macros;for(var g in f){if(f.hasOwnProperty(g)&&f[g].global){e.Def(g,f[g],"macros",true);delete f[g].global;delete f[g]}}},Clear:function(g){this.environments={};if(g){this.macros={}}else{var e=this.macros;for(var f in e){if(e.hasOwnProperty(f)&&!e[f].global){delete e[f]}}}return this}});var c=d.nsStack=MathJax.Object.Subclass({stack:null,top:0,isEqn:false,Init:function(e){this.isEqn=e;this.stack=[];if(!e){this.Push(a(b.macros,b.environment))}else{this.Push(a())}},Def:function(e,h,f,g){var i=this.top-1;if(g){while(i>0){this.stack[i].Undef(e,f);i--}if(!MathJax.Object.isArray(h)){h=[h]}if(this.isEqn){h.global=true}}this.stack[i].Def(e,h,f)},Push:function(e){this.stack.push(e);this.top=this.stack.length},Pop:function(){var e;if(this.top>1){e=this.stack[--this.top];if(this.isEqn){this.stack.pop()}}else{if(this.isEqn){this.Clear()}}return e},Find:function(e,g){for(var f=this.top-1;f>=0;f--){var h=this.stack[f].Find(e,g);if(h){return h}}return null},Merge:function(e){e.stack[0].MergeGlobals(this);this.stack[this.top-1].Merge(e.stack[0]);var f=[this.top,this.stack.length-this.top].concat(e.stack.slice(1));this.stack.splice.apply(this.stack,f);this.top=this.stack.length},Reset:function(){this.top=this.stack.length},Clear:function(e){this.stack=[this.stack[0].Clear()];this.top=this.stack.length}},{nsFrame:a});b.Add({macros:{begingroup:"BeginGroup",endgroup:"EndGroup",global:"Global",gdef:["Macro","\\global\\def"]}},null,true);d.Parse.Augment({BeginGroup:function(e){d.eqnStack.Push(a())},EndGroup:function(e){if(d.eqnStack.top>1){d.eqnStack.Pop()}else{if(d.rootStack.top===1){d.Error(["ExtraEndMissingBegin","Extra %1 or missing \\begingroup",e])}else{d.eqnStack.Clear();d.rootStack.Pop()}}},csFindMacro:function(e){return(d.eqnStack.Find(e,"macros")||d.rootStack.Find(e,"macros"))},envFindName:function(e){return(d.eqnStack.Find(e,"environments")||d.rootStack.Find(e,"environments"))},setDef:function(e,f){f.isUser=true;d.eqnStack.Def(e,f,"macros",this.stack.env.isGlobal);delete this.stack.env.isGlobal},setEnv:function(e,f){f.isUser=true;d.eqnStack.Def(e,f,"environments")},Global:function(e){var f=this.i;var g=this.GetCSname(e);this.i=f;if(g!=="let"&&g!=="def"&&g!=="newcommand"&&g!=="DeclareMathOperator"&&g!=="Newextarrow"){d.Error(["GlobalNotFollowedBy","%1 not followed by \\let, \\def, or \\newcommand",e])}this.stack.env.isGlobal=true}});d.rootStack=c();d.eqnStack=c(true);d.prefilterHooks.Add(function(){d.rootStack.Reset();d.eqnStack.Clear(true)});d.postfilterHooks.Add(function(){d.rootStack.Merge(d.eqnStack)});MathJax.Hub.Startup.signal.Post("TeX begingroup Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/begingroup.js");

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@ -0,0 +1,332 @@
/*************************************************************
*
* MathJax/extensions/TeX/mhchem.js
*
* Implements the \ce command for handling chemical formulas
* from the mhchem LaTeX package.
*
* ---------------------------------------------------------------------
*
* Copyright (c) 2011-2015 The MathJax Consortium
* Copyright (c) 2015-2017 Martin Hensel
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Extension["TeX/mhchem"]={version:"3.2.0"},MathJax.Hub.Register.StartupHook("TeX Jax Ready",
function(){var n=MathJax.InputJax.TeX,r=MathJax.Object.Subclass({string:"",Init:
function(n){this.string=n},Parse:
function(r){try{return o.go(t.go(this.string,r))}catch(r){n.Error(r)}}}),t={};t.go=
function(n,r){if(!n)return n;void 0===r&&(r="ce");var o="0",e={};e.pL=0,n=n.replace(/[\u2212\u2013\u2014\u2010]/g,"-"),n=n.replace(/[\u2026]/g,"...");for(var a,u,i=[];;){a!==n?(u=10,a=n):u--;var s=t.c[r],l=s.e.length;n:for(var h=0;h<l;h++){var p=s.e[h],c=p.g[o]||p.g["*"]||null;if(c){var f=t.h(p.h,n);if(f){for(var m=t.j([],c.k),k=m.length,d=0;d<k;d++){var g,q=m[d],v=void 0;if(q.l&&(v=q.m,q=q.l),"string"==typeof q)if(s.g[q])g=s.g[q](e,f.h,v);else{if(!t.g[q])throw["MhchemBugA","mhchem bug A. Please report. ("+q+")"];g=t.g[q](e,f.h,v)}else"function"==typeof q&&(g=q(e,f.h));i=t.j(i,g)}if(o=c.n||o,!(n.length>0))return i;if(c.s||(n=f.t),!c.u)break n}}}if(u<=0)throw["MhchemBugU","mhchem bug U. Please report."]}},
t.j=
function(n,r){return r?n?n.concat(r):[].concat(r):n},t.w={"~C":/^$/,"~A":/^./,"~B":/^./,"%m":/^\s/,"%l":/^\s(?=[A-Z\\$])/,"~@":/^[a-z]/,x:/^x/,x$:/^x$/,i$:/^i$/,"~M":/^(?:[a-zA-Z\u03B1-\u03C9\u0391-\u03A9?@]|(?:\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega|Gamma|Delta|Theta|Lambda|Xi|Pi|Sigma|Upsilon|Phi|Psi|Omega)(?:\s+|\{\}|(?![a-zA-Z]))))+/,"@z":/^\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega|Gamma|Delta|Theta|Lambda|Xi|Pi|Sigma|Upsilon|Phi|Psi|Omega)(?:\s+|\{\}|(?![a-zA-Z]))/,"~P":/^(?:([a-z])(?:$|[^a-zA-Z]))$/,"@%":/^\$(?:([a-z])(?:$|[^a-zA-Z]))\$$/,"~O":/^(?:\$?[\u03B1-\u03C9]\$?|\$?\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega)\s*\$?)(?:\s+|\{\}|(?![a-zA-Z]))$/,"~u":/^[0-9]+/,"@h":/^[+\-]?(?:[0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))/,"@g":/^[+\-]?[0-9]+(?:[.,][0-9]+)?/,"%T":
function(n){var r=n.match(/^(\+\-|\+\/\-|\+|\-|\\pm\s?)?([0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+)?)(\((?:[0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+)?)\))?(?:([eE]|\s*(\*|x|\\times|\u00D7)\s*10\^)([+\-]?[0-9]+|\{[+\-]?[0-9]+\}))?/);return r&&r[0]?{h:r.splice(1),t:n.substr(r[0].length)}:null},aj:
function(n){var r=n.match(/^(\+\-|\+\/\-|\+|\-|\\pm\s?)?([0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+)?)\^([+\-]?[0-9]+|\{[+\-]?[0-9]+\})/);return r&&r[0]?{h:r.splice(1),t:n.substr(r[0].length)}:null},"%n":
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* limitations under the License.
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(function(a){var c=a.mo.OPTYPES;var b=a.TEXCLASS;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{prefix:{"\u2204":c.ORD21,"\u221B":c.ORD11,"\u221C":c.ORD11,"\u2221":c.ORD,"\u2222":c.ORD,"\u222C":c.INTEGRAL,"\u222D":c.INTEGRAL,"\u222F":c.INTEGRAL,"\u2230":c.INTEGRAL,"\u2231":c.INTEGRAL,"\u2232":c.INTEGRAL,"\u2233":c.INTEGRAL},infix:{"\u2201":[1,2,b.ORD],"\u2206":c.BIN3,"\u220A":c.REL,"\u220C":c.REL,"\u220D":c.REL,"\u220E":c.BIN3,"\u2214":c.BIN4,"\u221F":c.REL,"\u2224":c.REL,"\u2226":c.REL,"\u2234":c.REL,"\u2235":c.REL,"\u2236":c.REL,"\u2237":c.REL,"\u2238":c.BIN4,"\u2239":c.REL,"\u223A":c.BIN4,"\u223B":c.REL,"\u223D":c.REL,"\u223D\u0331":c.BIN3,"\u223E":c.REL,"\u223F":c.BIN3,"\u2241":c.REL,"\u2242":c.REL,"\u2242\u0338":c.REL,"\u2244":c.REL,"\u2246":c.REL,"\u2247":c.REL,"\u2249":c.REL,"\u224A":c.REL,"\u224B":c.REL,"\u224C":c.REL,"\u224E":c.REL,"\u224E\u0338":c.REL,"\u224F":c.REL,"\u224F\u0338":c.REL,"\u2251":c.REL,"\u2252":c.REL,"\u2253":c.REL,"\u2254":c.REL,"\u2255":c.REL,"\u2256":c.REL,"\u2257":c.REL,"\u2258":c.REL,"\u2259":c.REL,"\u225A":c.REL,"\u225C":c.REL,"\u225D":c.REL,"\u225E":c.REL,"\u225F":c.REL,"\u2262":c.REL,"\u2263":c.REL,"\u2266":c.REL,"\u2266\u0338":c.REL,"\u2267":c.REL,"\u2268":c.REL,"\u2269":c.REL,"\u226A\u0338":c.REL,"\u226B\u0338":c.REL,"\u226C":c.REL,"\u226D":c.REL,"\u226E":c.REL,"\u226F":c.REL,"\u2270":c.REL,"\u2271":c.REL,"\u2272":c.REL,"\u2273":c.REL,"\u2274":c.REL,"\u2275":c.REL,"\u2276":c.REL,"\u2277":c.REL,"\u2278":c.REL,"\u2279":c.REL,"\u227C":c.REL,"\u227D":c.REL,"\u227E":c.REL,"\u227F":c.REL,"\u227F\u0338":c.REL,"\u2280":c.REL,"\u2281":c.REL,"\u2282\u20D2":c.REL,"\u2283\u20D2":c.REL,"\u2284":c.REL,"\u2285":c.REL,"\u2288":c.REL,"\u2289":c.REL,"\u228A":c.REL,"\u228B":c.REL,"\u228C":c.BIN4,"\u228D":c.BIN4,"\u228F":c.REL,"\u228F\u0338":c.REL,"\u2290":c.REL,"\u2290\u0338":c.REL,"\u229A":c.BIN4,"\u229B":c.BIN4,"\u229C":c.BIN4,"\u229D":c.BIN4,"\u229E":c.BIN4,"\u229F":c.BIN4,"\u22A0":c.BIN4,"\u22A1":c.BIN4,"\u22A6":c.REL,"\u22A7":c.REL,"\u22A9":c.REL,"\u22AA":c.REL,"\u22AB":c.REL,"\u22AC":c.REL,"\u22AD":c.REL,"\u22AE":c.REL,"\u22AF":c.REL,"\u22B0":c.REL,"\u22B1":c.REL,"\u22B2":c.REL,"\u22B3":c.REL,"\u22B4":c.REL,"\u22B5":c.REL,"\u22B6":c.REL,"\u22B7":c.REL,"\u22B8":c.REL,"\u22B9":c.REL,"\u22BA":c.BIN4,"\u22BB":c.BIN4,"\u22BC":c.BIN4,"\u22BD":c.BIN4,"\u22BE":c.BIN3,"\u22BF":c.BIN3,"\u22C7":c.BIN4,"\u22C9":c.BIN4,"\u22CA":c.BIN4,"\u22CB":c.BIN4,"\u22CC":c.BIN4,"\u22CD":c.REL,"\u22CE":c.BIN4,"\u22CF":c.BIN4,"\u22D0":c.REL,"\u22D1":c.REL,"\u22D2":c.BIN4,"\u22D3":c.BIN4,"\u22D4":c.REL,"\u22D5":c.REL,"\u22D6":c.REL,"\u22D7":c.REL,"\u22D8":c.REL,"\u22D9":c.REL,"\u22DA":c.REL,"\u22DB":c.REL,"\u22DC":c.REL,"\u22DD":c.REL,"\u22DE":c.REL,"\u22DF":c.REL,"\u22E0":c.REL,"\u22E1":c.REL,"\u22E2":c.REL,"\u22E3":c.REL,"\u22E4":c.REL,"\u22E5":c.REL,"\u22E6":c.REL,"\u22E7":c.REL,"\u22E8":c.REL,"\u22E9":c.REL,"\u22EA":c.REL,"\u22EB":c.REL,"\u22EC":c.REL,"\u22ED":c.REL,"\u22F0":c.REL,"\u22F2":c.REL,"\u22F3":c.REL,"\u22F4":c.REL,"\u22F5":c.REL,"\u22F6":c.REL,"\u22F7":c.REL,"\u22F8":c.REL,"\u22F9":c.REL,"\u22FA":c.REL,"\u22FB":c.REL,"\u22FC":c.REL,"\u22FD":c.REL,"\u22FE":c.REL,"\u22FF":c.REL}}});MathJax.Ajax.loadComplete(a.optableDir+"/MathOperators.js")})(MathJax.ElementJax.mml);

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/*
* /MathJax/jax/output/HTML-CSS/config.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.5",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");

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/*
* /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Arrows.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{8592:[437,-64,500,64,422],8594:[437,-64,500,58,417],8602:[437,-60,1000,56,942],8603:[437,-60,1000,54,942],8606:[417,-83,1000,56,944],8608:[417,-83,1000,55,943],8610:[417,-83,1111,56,1031],8611:[417,-83,1111,79,1054],8619:[575,41,1000,56,964],8620:[575,41,1000,35,943],8621:[417,-83,1389,57,1331],8622:[437,-60,1000,56,942],8624:[722,0,500,56,444],8625:[722,0,500,55,443],8630:[461,1,1000,17,950],8631:[460,1,1000,46,982],8634:[650,83,778,56,722],8635:[650,83,778,56,721],8638:[694,194,417,188,375],8639:[694,194,417,41,228],8642:[694,194,417,188,375],8643:[694,194,417,41,228],8644:[667,0,1000,55,944],8646:[667,0,1000,55,944],8647:[583,83,1000,55,944],8648:[694,193,833,83,749],8649:[583,83,1000,55,944],8650:[694,194,833,83,749],8651:[514,14,1000,55,944],8652:[514,14,1000,55,944],8653:[534,35,1000,54,942],8654:[534,37,1000,32,965],8655:[534,35,1000,55,943],8666:[611,111,1000,76,944],8667:[611,111,1000,55,923],8669:[417,-83,1000,56,943],8672:[437,-64,1334,64,1251],8674:[437,-64,1334,84,1251]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/Arrows.js");

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/*
* /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{32:[0,0,250,0,0],65:[701,1,722,17,703],66:[683,1,667,11,620],67:[702,19,722,39,684],68:[683,1,722,16,688],69:[683,1,667,12,640],70:[683,1,611,12,584],71:[702,19,778,39,749],72:[683,1,778,14,762],73:[683,1,389,20,369],74:[683,77,500,6,478],75:[683,1,778,22,768],76:[683,1,667,12,640],77:[683,1,944,17,926],78:[683,20,722,20,702],79:[701,19,778,34,742],80:[683,1,611,16,597],81:[701,181,778,34,742],82:[683,1,722,16,705],83:[702,12,556,28,528],84:[683,1,667,33,635],85:[683,19,722,16,709],86:[683,20,722,0,719],87:[683,19,1000,5,994],88:[683,1,722,16,705],89:[683,1,722,16,704],90:[683,1,667,29,635],107:[683,1,556,17,534]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/BBBold.js");

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/*
* /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BoxDrawing.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{9484:[694,-306,500,55,444],9488:[694,-306,500,55,444],9492:[366,22,500,55,444],9496:[366,22,500,55,444],9585:[694,195,889,0,860],9586:[694,195,889,0,860]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/BoxDrawing.js");

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/*
* /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/CombDiacritMarks.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{770:[845,-561,0,-2347,13],771:[899,-628,0,-2332,-3]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/CombDiacritMarks.js");

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/*
* /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Dingbats.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{10003:[706,34,833,84,749],10016:[716,22,833,48,786]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/Dingbats.js");

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/*
* /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/EnclosedAlphanum.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{9416:[709,175,902,8,894]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/EnclosedAlphanum.js");

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/*
* /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeneralPunctuation.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{8245:[560,-43,275,12,244]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/GeneralPunctuation.js");

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/*
* /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeometricShapes.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{9632:[689,0,778,55,722],9633:[689,0,778,55,722],9650:[575,20,722,84,637],9651:[575,20,722,84,637],9654:[539,41,778,83,694],9660:[576,19,722,84,637],9661:[576,19,722,84,637],9664:[539,41,778,83,694],9674:[716,132,667,56,611]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/GeometricShapes.js");

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/*
* /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GreekAndCoptic.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{989:[605,85,778,55,719],1008:[434,6,667,37,734]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/GreekAndCoptic.js");

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/*
* /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Latin1Supplement.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{160:[0,0,250,0,0],165:[683,0,750,11,738],174:[709,175,947,32,915],240:[749,21,556,42,509]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/Latin1Supplement.js");

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/*
* /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LatinExtendedA.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{295:[695,13,540,42,562]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/LatinExtendedA.js");

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/*
* /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LetterlikeSymbols.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{8463:[695,13,540,42,562],8487:[684,22,722,44,675],8498:[695,1,556,55,497],8502:[763,21,667,-22,687],8503:[764,43,444,-22,421],8504:[764,43,667,54,640],8513:[705,23,639,37,577]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/LetterlikeSymbols.js");

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/*
* /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Main.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS={directory:"AMS/Regular",family:"MathJax_AMS",testString:"MATHJAX AMS \u02C6",Ranges:[[0,127,"BBBold"],[128,255,"Latin1Supplement"],[256,383,"LatinExtendedA"],[688,767,"SpacingModLetters"],[768,879,"CombDiacritMarks"],[880,1023,"GreekAndCoptic"],[8192,8303,"GeneralPunctuation"],[8448,8527,"LetterlikeSymbols"],[8592,8703,"Arrows"],[8704,8959,"MathOperators"],[8960,9215,"MiscTechnical"],[9312,9471,"EnclosedAlphanum"],[9472,9599,"BoxDrawing"],[9632,9727,"GeometricShapes"],[9728,9983,"MiscSymbols"],[9984,10175,"Dingbats"],[10624,10751,"MiscMathSymbolsB"],[10752,11007,"SuppMathOperators"],[57344,63743,"PUA"]]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_AMS"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/Main.js"]);

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/*
* /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MathOperators.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{8705:[846,21,500,56,444],8708:[860,166,556,55,497],8709:[587,3,778,54,720],8717:[440,1,429,102,456],8722:[270,-230,500,84,417],8724:[766,93,778,57,722],8726:[430,23,778,91,685],8733:[472,-28,778,56,722],8736:[694,0,722,55,666],8737:[714,20,722,55,666],8738:[551,51,722,55,666],8739:[430,23,222,91,131],8740:[750,252,278,-21,297],8741:[431,23,389,55,331],8742:[750,250,500,-20,518],8756:[471,82,667,24,643],8757:[471,82,667,23,643],8764:[365,-132,778,55,719],8765:[367,-133,778,56,722],8769:[467,-32,778,55,719],8770:[463,-34,778,55,720],8774:[652,155,778,54,720],8776:[481,-50,778,55,719],8778:[579,39,778,51,725],8782:[492,-8,778,56,722],8783:[492,-133,778,56,722],8785:[609,108,778,56,722],8786:[601,101,778,15,762],8787:[601,102,778,14,762],8790:[367,-133,778,56,722],8791:[721,-133,778,56,722],8796:[859,-133,778,56,723],8806:[753,175,778,83,694],8807:[753,175,778,83,694],8808:[752,286,778,82,693],8809:[752,286,778,82,693],8812:[750,250,500,74,425],8814:[708,209,778,82,693],8815:[708,209,778,82,693],8816:[801,303,778,82,694],8817:[801,303,778,82,694],8818:[732,228,778,56,722],8819:[732,228,778,56,722],8822:[681,253,778,44,734],8823:[681,253,778,83,694],8828:[580,153,778,83,694],8829:[580,154,778,82,694],8830:[732,228,778,56,722],8831:[732,228,778,56,722],8832:[705,208,778,82,693],8833:[705,208,778,82,693],8840:[801,303,778,83,693],8841:[801,303,778,82,691],8842:[635,241,778,84,693],8843:[635,241,778,82,691],8847:[539,41,778,83,694],8848:[539,41,778,64,714],8858:[582,82,778,57,721],8859:[582,82,778,57,721],8861:[582,82,778,57,721],8862:[689,0,778,55,722],8863:[689,0,778,55,722],8864:[689,0,778,55,722],8865:[689,0,778,55,722],8872:[694,0,611,55,555],8873:[694,0,722,55,666],8874:[694,0,889,55,833],8876:[695,1,611,-55,554],8877:[695,1,611,-55,554],8878:[695,1,722,-55,665],8879:[695,1,722,-55,665],8882:[539,41,778,83,694],8883:[539,41,778,83,694],8884:[636,138,778,83,694],8885:[636,138,778,83,694],8888:[408,-92,1111,55,1055],8890:[431,212,556,57,500],8891:[716,0,611,55,555],8892:[716,0,611,55,555],8901:[189,0,278,55,222],8903:[545,44,778,55,720],8905:[492,-8,778,146,628],8906:[492,-8,778,146,628],8907:[694,22,778,55,722],8908:[694,22,778,55,722],8909:[464,-36,778,56,722],8910:[578,21,760,83,676],8911:[578,22,760,83,676],8912:[540,40,778,84,694],8913:[540,40,778,83,693],8914:[598,22,667,55,611],8915:[598,22,667,55,611],8916:[736,22,667,56,611],8918:[541,41,778,82,693],8919:[541,41,778,82,693],8920:[568,67,1333,56,1277],8921:[568,67,1333,55,1277],8922:[886,386,778,83,674],8923:[886,386,778,83,674],8926:[734,0,778,83,694],8927:[734,0,778,82,694],8928:[801,303,778,82,693],8929:[801,303,778,82,694],8934:[730,359,778,55,719],8935:[730,359,778,55,719],8936:[730,359,778,55,719],8937:[730,359,778,55,719],8938:[706,208,778,82,693],8939:[706,208,778,82,693],8940:[802,303,778,82,693],8941:[801,303,778,82,693]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/MathOperators.js");

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/*
* /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{10731:[716,132,667,56,611]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/MiscMathSymbolsB.js");

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/*
* /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{9733:[694,111,944,49,895]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/MiscSymbols.js");

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/*
* /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscTechnical.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{8994:[378,-122,778,55,722],8995:[378,-143,778,55,722]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/MiscTechnical.js");

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/*
* /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/PUA.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{57350:[430,23,222,-20,240],57351:[431,24,389,-20,407],57352:[605,85,778,55,719],57353:[434,6,667,37,734],57356:[752,284,778,82,693],57357:[752,284,778,82,693],57358:[919,421,778,82,694],57359:[801,303,778,82,694],57360:[801,303,778,82,694],57361:[919,421,778,82,694],57366:[828,330,778,82,694],57367:[752,332,778,82,694],57368:[828,330,778,82,694],57369:[752,333,778,82,693],57370:[634,255,778,84,693],57371:[634,254,778,82,691]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/PUA.js");

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/*
* /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SpacingModLetters.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{710:[845,-561,2333,-14,2346],732:[899,-628,2333,1,2330]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/SpacingModLetters.js");

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/*
* /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SuppMathOperators.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{10846:[813,97,611,55,555],10877:[636,138,778,83,694],10878:[636,138,778,83,694],10885:[762,290,778,55,722],10886:[762,290,778,55,722],10887:[635,241,778,82,693],10888:[635,241,778,82,693],10889:[761,387,778,57,718],10890:[761,387,778,57,718],10891:[1003,463,778,83,694],10892:[1003,463,778,83,694],10901:[636,138,778,83,694],10902:[636,138,778,83,694],10933:[752,286,778,82,693],10934:[752,286,778,82,693],10935:[761,294,778,57,717],10936:[761,294,778,57,717],10937:[761,337,778,57,718],10938:[761,337,778,57,718],10949:[753,215,778,84,694],10950:[753,215,778,83,694],10955:[783,385,778,82,693],10956:[783,385,778,82,693]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/SuppMathOperators.js");

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/*
* /MathJax/jax/output/HTML-CSS/fonts/TeX/fontdata-extra.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
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/*
* /MathJax/jax/output/HTML-CSS/imageFonts.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
(function(b,c,a){var d="2.7.5";b.Register.LoadHook(c.fontDir+"/fontdata.js",function(){c.Augment({allowWebFonts:false,imgDir:c.webfontDir+"/png",imgPacked:(MathJax.isPacked?"":"/unpacked"),imgSize:["050","060","071","085",100,120,141,168,200,238,283,336,400,476],imgBaseIndex:4,imgSizeForEm:{},imgSizeForScale:{},imgZoom:1,handleImg:function(t,i,r,h,u){if(u.length){this.addText(t,u)}var s=r[5].orig;if(!s){s=r[5].orig=[r[0],r[1],r[2],r[3],r[4]]}var m=this.imgZoom;if(!t.scale){t.scale=1}var p=this.imgIndex(t.scale*m);if(p==this.imgEmWidth.length-1&&this.em*t.scale*m/this.imgEmWidth[p]>1.1){m=this.imgEmWidth[p]/(this.em*t.scale)}var q=this.imgEmWidth[p]/(this.em*(t.scale||1)*m);r[0]=s[0]*q;r[1]=s[1]*q;r[2]=s[2]*q;r[3]=s[3]*q;r[4]=s[4]*q;var k=this.imgDir+"/"+i.directory+"/"+this.imgSize[p];var l=h.toString(16).toUpperCase();while(l.length<4){l="0"+l}var j=k+"/"+l+".png";var o=r[5].img[p];var g={width:Math.floor(o[0]/m+0.5)+"px",height:Math.floor(o[1]/m+0.5)+"px"};if(o[2]){g.verticalAlign=Math.floor(-o[2]/m+0.5)+"px"}if(r[3]<0){g.marginLeft=this.Em(r[3]/1000)}if(r[4]!=r[2]){g.marginRight=this.Em((r[2]-r[4])/1000)}if(this.msieIE6){g.filter="progid:DXImageTransform.Microsoft.AlphaImageLoader(src='"+a.urlRev(j)+"', sizingMethod='scale')";j=this.directory+"/blank.gif"}this.addElement(t,"img",{src:a.urlRev(j),style:g,isMathJax:true});return""},defineImageData:function(i){for(var g in i){if(i.hasOwnProperty(g)){var h=c.FONTDATA.FONTS[g];if(h){g=i[g];for(var j in g){if(g.hasOwnProperty(j)&&h[j]){h[j][5]={img:g[j]}}}}}}},initImg:function(j){if(this.imgSizeForEm[this.em]){this.imgBaseIndex=this.imgSizeForEm[this.em]}for(var h=0,g=this.imgEmWidth.length-1;h<g;h++){if(this.em<=this.imgEmWidth[h]){break}}if(h&&this.imgEmWidth[h]-this.em>this.em-this.imgEmWidth[h-1]){h--}this.imgSizeForEm[this.em]=this.imgBaseIndex=h;this.imgZoom=this.imgBrowserZoom()},imgIndex:function(k){if(!k){return this.imgBaseIndex}if(!this.imgSizeForScale[this.em]){this.imgSizeForScale[this.em]={}}if(this.imgSizeForScale[this.em][k]){return this.imgSizeForScale[this.em][k]}var j=this.em*k;for(var h=0,g=this.imgEmWidth.length-1;h<g;h++){if(j<=this.imgEmWidth[h]){break}}if(h&&this.imgEmWidth[h]-j>j-this.imgEmWidth[h-1]){h--}this.imgSizeForScale[this.em][k]=h;return h},imgBrowserZoom:function(){return 1}});b.Browser.Select({Firefox:function(h){var g=c.addElement(document.body,"div",{style:{display:"none",visibility:"hidden",overflow:"scroll",position:"absolute",top:0,left:0,width:"200px",height:"200px",padding:0,border:0,margin:0}});var i=c.addElement(g,"div",{style:{position:"absolute",left:0,top:0,right:0,bottom:0,padding:0,border:0,margin:0}});c.Augment({imgSpaceBug:true,imgSpace:"\u00A0",imgZoomLevel:(h.isMac?{50:0.3,30:0.5,22:0.67,19:0.8,16:0.9,15:1,13:1.1,12:1.2,11:1.33,10:1.5,9:1.7,7:2,6:2.4,5:3,0:15}:{56:0.3,34:0.5,25:0.67,21:0.8,19:0.9,17:1,15:1.1,14:1.2,13:1.33,11:1.5,10:1.7,8:2,7:2.4,6:3,0:17}),imgZoomDiv:g,imgBrowserZoom:function(){var j=this.imgZoomLevel;g.style.display="";var k=(g.offsetWidth-i.offsetWidth);k=(j[k]?j[k]:j[0]/k);g.style.display="none";return k}})},Safari:function(g){c.Augment({imgBrowserZoom:function(){return 3}})},Chrome:function(g){c.Augment({imgHeightBug:true,imgBrowserZoom:function(){return 3}})},Opera:function(g){c.Augment({imgSpaceBug:true,imgSpace:"\u00A0\u00A0",imgDoc:(document.compatMode=="BackCompat"?document.body:document.documentElement),imgBrowserZoom:function(){if(g.isMac){return 3}var h=this.imgDoc.clientHeight,i=Math.floor(15*h/window.innerHeight);if(this.imgDoc.clientWidth<this.imgDoc.scrollWidth-i){h+=i}return parseFloat((window.innerHeight/h).toFixed(1))}})}});var f=function(){var h=c.FONTDATA.FONTS.MathJax_Main[8212][5].img;c.imgEmWidth=[];for(var j=0,g=h.length;j<g;j++){c.imgEmWidth[j]=h[j][0]}};var e=c.imgDir+c.imgPacked;MathJax.Callback.Queue(["Require",a,e+"/imagedata.js"],f,["loadComplete",a,c.directory+"/imageFonts.js"])})})(MathJax.Hub,MathJax.OutputJax["HTML-CSS"],MathJax.Ajax);

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