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Add MathJax support

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This commit is contained in:
benweet 2013-05-12 01:48:25 +01:00
parent 89557f03a7
commit 8be8d15f30
535 changed files with 10476 additions and 8 deletions
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2
cache.manifest
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@ -1 +1 @@
CACHE MANIFEST # v28 CACHE: index.html viewer.html css/main-min.css js/main-min.js js/require.js img/ajax-loader.gif img/glyphicons-halflings.png img/glyphicons-halflings-white.png img/icons.png img/stackedit-32.ico img/stackedit-promo.png NETWORK: * CACHE MANIFEST # v28 CACHE: index.html viewer.html css/main-min.css js/main-min.js js/require.js img/ajax-loader.gif img/glyphicons-halflings.png img/glyphicons-halflings-white.png img/icons.png img/stackedit-32.ico img/stackedit-promo.png lib/MathJax/config/TeX-AMS_HTML.js lib/MathJax/jax/output/HTML-CSS/jax.js lib/MathJax/jax/output/HTML-CSS/fonts/TeX/fontdata.js lib/MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Arrows.js lib/MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js lib/MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BoxDrawing.js lib/MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/CombDiacritMarks.js lib/MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Dingbats.js lib/MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/EnclosedAlphanum.js lib/MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeneralPunctuation.js lib/MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeometricShapes.js lib/MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GreekAndCoptic.js lib/MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Latin1Supplement.js lib/MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LatinExtendedA.js lib/MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LetterlikeSymbols.js lib/MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Main.js lib/MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MathOperators.js lib/MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js lib/MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js lib/MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscTechnical.js lib/MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/PUA.js lib/MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SpacingModLetters.js lib/MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SuppMathOperators.js NETWORK: *

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js/core.js
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define( define(
[ "jquery", "bootstrap", "jgrowl", "layout", "Markdown.Editor", "storage", "config", [ "jquery", "mathjax-editing", "bootstrap", "jgrowl", "layout", "Markdown.Editor", "storage", "config",
"underscore", "FileSaver", "css_browser_selector" ], "underscore", "FileSaver", "css_browser_selector" ],
function($) { function($, mathjaxEditing) {
var core = {}; var core = {};
@ -370,6 +370,7 @@ define(
var editorScrollTop = editorElt.scrollTop(); var editorScrollTop = editorElt.scrollTop();
var previewElt = $("#wmd-preview"); var previewElt = $("#wmd-preview");
var previewScrollTop = previewElt.scrollTop(); var previewScrollTop = previewElt.scrollTop();
console.log(previewScrollTop);
function animate(srcScrollTop, srcSectionList, destElt, destSectionList, callback) { function animate(srcScrollTop, srcSectionList, destElt, destSectionList, callback) {
// Find the section corresponding to the offset // Find the section corresponding to the offset
var sectionIndex = undefined; var sectionIndex = undefined;
@ -496,6 +497,10 @@ define(
}); });
}); });
var editor = new Markdown.Editor(converter); var editor = new Markdown.Editor(converter);
// Prettify
if(core.settings.converterType == "markdown-extra-prettify") {
editor.hooks.chain("onPreviewRefresh", prettyPrint);
}
if(viewerMode === false && core.settings.scrollLink === true) { if(viewerMode === false && core.settings.scrollLink === true) {
editor.hooks.chain("onPreviewRefresh", function() { editor.hooks.chain("onPreviewRefresh", function() {
// Modify scroll position of the preview not the editor // Modify scroll position of the preview not the editor
@ -508,10 +513,6 @@ define(
}); });
}); });
} }
// Prettify
if(core.settings.converterType == "markdown-extra-prettify") {
editor.hooks.chain("onPreviewRefresh", prettyPrint);
}
// Custom insert link dialog // Custom insert link dialog
editor.hooks.set("insertLinkDialog", function (callback) { editor.hooks.set("insertLinkDialog", function (callback) {
insertLinkCallback = callback; insertLinkCallback = callback;
@ -526,6 +527,8 @@ define(
$("#modal-insert-image").modal(); $("#modal-insert-image").modal();
return true; return true;
}); });
// MathJax
mathjaxEditing.prepareWmdForMathJax(editor, [["$", "$"], ["\\\\(", "\\\\)"]]);
editor.run(); editor.run();
firstChange = false; firstChange = false;

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js/main.js
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@ -11,6 +11,15 @@ requirejs.config({
} }
}); });
var load = requirejs.load;
requirejs.load = function (context, moduleId, url) {
// MathJax configuration
if(url.indexOf("MathJax.js") !== -1) {
url += "?config=TeX-AMS_HTML";
}
return load(context, moduleId, url);
};
require(["jquery", "file-manager", "synchronizer", "publisher"], function($) { require(["jquery", "file-manager", "synchronizer", "publisher"], function($) {
$(function() { $(function() {
// If browser has detected a new application cache. // If browser has detected a new application cache.

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define([ "jquery", "../lib/MathJax/MathJax" ], function($) {
MathJax.Hub.Config({"HTML-CSS": {preferredFont: "TeX",availableFonts: ["STIX", "TeX"],linebreaks: {automatic: true},EqnChunk: (MathJax.Hub.Browser.isMobile ? 10 : 50), imageFont: null},
tex2jax: {inlineMath: [["$", "$"], ["\\\\(", "\\\\)"]],displayMath: [["$$", "$$"], ["\\[", "\\]"]],processEscapes: true,ignoreClass: "tex2jax_ignore|dno"},
TeX: {noUndefined: {attributes: {mathcolor: "red",mathbackground: "#FFEEEE",mathsize: "90%"}},
Safe: {allow: {URLs: "safe",classes: "safe",cssIDs: "safe",styles: "safe",fontsize: "all"}}},
messageStyle: "none"
});
var ready = false; // true after initial typeset is complete
var pending = false; // true when MathJax has been requested
var preview = null; // the preview container
var inline = "$"; // the inline math delimiter
var blocks, start, end, last, braces; // used in searching for math
var math; // stores math until markdone is done
var HUB = MathJax.Hub;
//
// Runs after initial typeset
//
HUB.Queue(function() {
ready = true;
HUB.processUpdateTime = 50; // reduce update time so that we can cancel
// easier
HUB.Config({ "HTML-CSS" : { EqnChunk : 10, EqnChunkFactor : 1 }, // reduce
// chunk
// for
// more
// frequent
// updates
SVG : { EqnChunk : 10, EqnChunkFactor : 1 } });
});
//
// The pattern for math delimiters and special symbols
// needed for searching for math in the page.
//
var SPLIT = /(\$\$?|\\(?:begin|end)\{[a-z]*\*?\}|\\[\\{}$]|[{}]|(?:\n\s*)+|@@\d+@@)/i;
//
// The math is in blocks i through j, so
// collect it into one block and clear the others.
// Replace &, <, and > by named entities.
// For IE, put <br> at the ends of comments since IE removes \n.
// Clear the current math positions and store the index of the
// math, then push the math string onto the storage array.
//
function processMath(i, j) {
var block = blocks.slice(i, j + 1).join("").replace(/&/g, "&amp;") // use
// HTML
// entity
// for
// &
.replace(/</g, "&lt;") // use HTML entity for <
.replace(/>/g, "&gt;") // use HTML entity for >
;
if (HUB.Browser.isMSIE) {
block = block.replace(/(%[^\n]*)\n/g, "$1<br/>\n")
}
while (j > i) {
blocks[j] = "";
j--
}
blocks[i] = "@@" + math.length + "@@";
math.push(block);
start = end = last = null;
}
//
// Break up the text into its component parts and search
// through them for math delimiters, braces, linebreaks, etc.
// Math delimiters must match and braces must balance.
// Don't allow math to pass through a double linebreak
// (which will be a paragraph).
//
function removeMath(text) {
start = end = last = null; // for tracking math delimiters
math = []; // stores math strings for latter
blocks = text.replace(/\r\n?/g, "\n").split(SPLIT);
for ( var i = 1, m = blocks.length; i < m; i += 2) {
var block = blocks[i];
if (block.charAt(0) === "@") {
//
// Things that look like our math markers will get
// stored and then retrieved along with the math.
//
blocks[i] = "@@" + math.length + "@@";
math.push(block);
} else if (start) {
//
// If we are in math, look for the end delimiter,
// but don't go past double line breaks, and
// and balance braces within the math.
//
if (block === end) {
if (braces) {
last = i
} else {
processMath(start, i)
}
} else if (block.match(/\n.*\n/)) {
if (last) {
i = last;
processMath(start, i)
}
start = end = last = null;
braces = 0;
} else if (block === "{") {
braces++
} else if (block === "}" && braces) {
braces--
}
} else {
//
// Look for math start delimiters and when
// found, set up the end delimiter.
//
if (block === inline || block === "$$") {
start = i;
end = block;
braces = 0;
} else if (block.substr(1, 5) === "begin") {
start = i;
end = "\\end" + block.substr(6);
braces = 0;
}
}
}
if (last) {
processMath(start, last)
}
return blocks.join("");
}
//
// Put back the math strings that were saved,
// and clear the math array (no need to keep it around).
//
function replaceMath(text) {
text = text.replace(/@@(\d+)@@/g, function(match, n) {
return math[n]
});
math = null;
return text;
}
//
// This is run to restart MathJax after it has finished
// the previous run (that may have been canceled)
//
function RestartMJ() {
pending = false;
HUB.cancelTypeset = false; // won't need to do this in the future
// Keep scroll position (due to a weird behavior when updating div)
var scrollTop = undefined;
console.log($(preview).scrollTop());
HUB.Queue(function() {
console.log($(preview).scrollTop());
scrollTop = preview.scrollTop;
});
HUB.Queue([ "Typeset", HUB, preview ]);
HUB.Queue(function() {
console.log($(preview).scrollTop());
setTimeout(function() {
console.log($(preview).scrollTop());
preview.scrollTop = scrollTop;
}, 1000);
});
}
//
// When the preview changes, cancel MathJax and restart,
// if we haven't done that already.
//
function UpdateMJ() {
if (!pending && ready) {
pending = true;
HUB.Cancel();
console.log($(preview).scrollTop());
HUB.Queue(RestartMJ);
}
}
//
// Save the preview ID and the inline math delimiter.
// Create a converter for the editor and register a preConversion hook
// to handle escaping the math.
// Create a preview refresh hook to handle starting MathJax.
//
function prepareWmdForMathJax(editorObject, delimiters) {
preview = document.getElementById("wmd-preview");
inline = delimiters[0][0];
var converterObject = editorObject.getConverter();
converterObject.hooks.chain("preConversion", removeMath);
converterObject.hooks.chain("postConversion", replaceMath);
editorObject.hooks.chain("onPreviewRefresh", UpdateMJ);
}
//
// Set up MathJax to allow canceling of typesetting, if it
// doesn't already have that.
//
if (!HUB.Cancel) {
HUB.cancelTypeset = false;
var CANCELMESSAGE = "MathJax Canceled";
HUB.Register
.StartupHook(
"HTML-CSS Jax Config",
function() {
var HTMLCSS = MathJax.OutputJax["HTML-CSS"], TRANSLATE = HTMLCSS.Translate;
HTMLCSS.Augment({ Translate : function(script, state) {
if (HUB.cancelTypeset || state.cancelled) {
throw Error(CANCELMESSAGE)
}
return TRANSLATE.call(HTMLCSS, script, state);
} });
});
HUB.Register.StartupHook("SVG Jax Config", function() {
var SVG = MathJax.OutputJax["SVG"], TRANSLATE = SVG.Translate;
SVG.Augment({ Translate : function(script, state) {
if (HUB.cancelTypeset || state.cancelled) {
throw Error(CANCELMESSAGE)
}
return TRANSLATE.call(SVG, script, state);
} });
});
HUB.Register.StartupHook("TeX Jax Config", function() {
var TEX = MathJax.InputJax.TeX, TRANSLATE = TEX.Translate;
TEX.Augment({ Translate : function(script, state) {
if (HUB.cancelTypeset || state.cancelled) {
throw Error(CANCELMESSAGE)
}
return TRANSLATE.call(TEX, script, state);
} });
});
var PROCESSERROR = HUB.processError;
HUB.processError = function(error, state, type) {
if (error.message !== CANCELMESSAGE) {
return PROCESSERROR.call(HUB, error, state, type)
}
MathJax.Message.Clear(0, 0);
state.jaxIDs = [];
state.jax = {};
state.scripts = [];
state.i = state.j = 0;
state.cancelled = true;
return null;
};
HUB.Cancel = function() {
this.cancelTypeset = true
};
}
return { prepareWmdForMathJax : prepareWmdForMathJax };
});

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.DS_Store
docs/build/html-mathjax-site
config/local/*.js
!config/local/local.js
unpacked/config/local/*.js
!unpacked/config/local/local.js

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This is release branch v2.1 of MathJax.

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# MathJax
## Beautiful math in all browsers
MathJax is an open-source JavaScript display engine for LaTeX, MathML, and
AsciiMath notation that works in all modern browsers. It was designed with
the goal of consolidating the recent advances in web technologies into a
single, definitive, math-on-the-web platform supporting the major browsers
and operating systems. It requires no setup on the part of the user (no
plugins to download or software to install), so the page author can write
web documents that include mathematics and be confident that users will be
able to view it naturally and easily. Simply include MathJax and some
mathematics in a web page, and MathJax does the rest.
Some of the main features of MathJax include:
- High-quality display of LaTeX, MathML, and AsciiMath notation in HTML pages
- Supported in most browsers with no plug-ins, extra fonts, or special
setup for the reader
- Easy for authors, flexible for publishers, extensible for developers
- Supports math accessibility, cut-and-paste interoperability, and other
advanced functionality
- Powerful API for integration with other web applications
See <http://www.mathjax.org/> for additional details.
## Installation and Usage
The MathJax installation and usage documentation is available in the
`docs/html` directory of the MathJax distribution (see
`docs/html/index.html` for the starting point). The documents are also
available on the MathJax web site on line at <http://www.mathjax.org/resources/docs/>.
## Community
The main MathJax website is <http://www.mathjax.org>, and it includes
announcements and other important information. MathJax is maintained and
distributed on GitHub at <http://github.com/mathjax/MathJax>. A user forum
for asking questions and getting assistance is hosted at Google, and the
bug tracker is hosted at GitHub:
Bug tracker: <https://github.com/mathjax/MathJax/issues>
MathJax-Users Group: <http://groups.google.com/group/mathjax-users>
Before reporting a bug, please check that it has not already been reported.
Also, please use the bug tracker for reporting bugs rather than the help forum.

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/*
* /MathJax/config/MMLorHTML.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
(function(c,g){var f="2.1";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(g.version==="0.0"||g.versionAtLeast(e[g]||0));var d=(g.isFirefox&&g.versionAtLeast("1.5"))||(g.isMSIE&&g.hasMathPlayer)||(g.isSafari&&g.versionAtLeast("5.0"))||(g.isOpera&&g.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var h=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(h==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set("Your browser does not support MathJax",null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");

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/*************************************************************
*
* MathJax/config/local/local.js
*
* Include changes and configuration local to your installation
* in this file. For example, common macros can be defined here
* (see below). To use this file, add "local/local.js" to the
* config array in MathJax.js or your MathJax.Hub.Config() call.
*
* ---------------------------------------------------------------------
*
* Copyright (c) 2009 Design Science, Inc.
*
* 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.Register.StartupHook("TeX Jax Ready",function () {
var TEX = MathJax.InputJax.TeX;
// place macros here. E.g.:
// TEX.Macro("R","{\\bf R}");
// TEX.Macro("op","\\mathop{\\rm #1}",1); // a macro with 1 parameter
});
MathJax.Ajax.loadComplete("[MathJax]/config/local/local.js");

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/*
* /MathJax/extensions/FontWarnings.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
(function(d,g){var f="2.1";var b=d.CombineConfig("FontWarnings",{messageStyle:{position:"fixed",bottom:"4em",left:"3em",width:"40em",border:"3px solid #880000","background-color":"#E0E0E0",color:"black",padding:"1em","font-size":"small","white-space":"normal","border-radius":".75em","-webkit-border-radius":".75em","-moz-border-radius":".75em","-khtml-border-radius":".75em","box-shadow":"4px 4px 10px #AAAAAA","-webkit-box-shadow":"4px 4px 10px #AAAAAA","-moz-box-shadow":"4px 4px 10px #AAAAAA","-khtml-box-shadow":"4px 4px 10px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=3, OffY=3, Color='gray', Positive='true')"},Message:{webFont:[["closeBox"],"MathJax is using web-based fonts to display the mathematics ","on this page. These take time to download, so the page would ","render faster if you installed math fonts directly in your ","system's font folder.",["fonts"]],imageFonts:[["closeBox"],"MathJax is using its image fonts rather than local or web-based fonts. ","This will render slower than usual, and the mathematics may not print ","at the full resolution of your printer.",["fonts"],["webfonts"]],noFonts:[["closeBox"],"MathJax is unable to locate a font to use to display ","its mathematics, and image fonts are not available, so it ","is falling back on generic unicode characters in hopes that ","your browser will be able to display them. Some characters ","may not show up properly, or possibly not at all.",["fonts"],["webfonts"]]},HTML:{closeBox:[["div",{style:{position:"absolute",overflow:"hidden",top:".1em",right:".1em",border:"1px outset",width:"1em",height:"1em","text-align":"center",cursor:"pointer","background-color":"#EEEEEE",color:"#606060","border-radius":".5em","-webkit-border-radius":".5em","-moz-border-radius":".5em","-khtml-border-radius":".5em"},onclick:function(){if(c.div&&c.fade===0){if(c.timer){clearTimeout(c.timer)}c.div.style.display="none"}}},[["span",{style:{position:"relative",bottom:".2em"}},["x"]]]]],webfonts:[["p"],"Most modern browsers allow for fonts to be downloaded over the web. ","Updating to a more recent version of your browser (or changing browsers) ","could improve the quality of the mathematics on this page."],fonts:[["p"],"MathJax can use either the ",["a",{href:"http://www.stixfonts.org/",target:"_blank"},"STIX fonts"]," or the ",["a",{href:"http://www.mathjax.org/help-v2/fonts/",target:"_blank"},["MathJax TeX fonts"]],". Download and install either one to improve your MathJax experience."],STIXfonts:[["p"],"This page is designed to use the ",["a",{href:"http://www.stixfonts.org/",target:"_blank"},"STIX fonts"],". Download and install those fonts to improve your MathJax experience."],TeXfonts:[["p"],"This page is designed to use the ",["a",{href:"http://www.mathjax.org/help-v2/fonts/",target:"_blank"},["MathJax TeX fonts"]],". Download and install those fonts to improve your MathJax experience."]},removeAfter:12*1000,fadeoutSteps:10,fadeoutTime:1.5*1000});if(MathJax.Hub.Browser.isIE9&&document.documentMode>=9){delete b.messageStyle.filter}var c={div:null,fade:0};var a=function(k){if(c.div){return}var h=MathJax.OutputJax["HTML-CSS"],l=document.body;if(d.Browser.isMSIE){if(b.messageStyle.position==="fixed"){MathJax.Message.Init();l=document.getElementById("MathJax_MSIE_Frame");b.messageStyle.position="absolute"}}else{delete b.messageStyle.filter}b.messageStyle.maxWidth=(document.body.clientWidth-75)+"px";var j=0;while(j<k.length){if(k[j] instanceof Array&&b.HTML[k[j][0]]){k.splice.apply(k,[j,1].concat(b.HTML[k[j][0]]))}else{j++}}c.div=h.addElement(l,"div",{id:"MathJax_FontWarning",style:b.messageStyle},k);if(b.removeAfter){d.Register.StartupHook("End",function(){c.timer=setTimeout(e,b.removeAfter)})}g.Cookie.Set("fontWarn",{warned:true})};var e=function(){c.fade++;if(c.timer){delete c.timer}if(c.fade<b.fadeoutSteps){var h=1-c.fade/b.fadeoutSteps;c.div.style.opacity=h;c.div.style.filter="alpha(opacity="+Math.floor(100*h)+")";setTimeout(e,b.fadeoutTime/b.fadeoutSteps)}else{c.div.style.display="none"}};if(!g.Cookie.Get("fontWarn").warned){d.Startup.signal.Interest(function(k){if(k.match(/HTML-CSS Jax - /)&&!c.div){var h=MathJax.OutputJax["HTML-CSS"],l=h.config.availableFonts,j;var i=(l&&l.length);if(!i){b.HTML.fonts=[""]}else{if(l.length===1){b.HTML.fonts=b.HTML[l[0]+"fonts"]}}if(h.allowWebFonts){b.HTML.webfonts=[""]}if(k.match(/- Web-Font/)){if(i){j="webFont"}}else{if(k.match(/- using image fonts/)){j="imageFonts"}else{if(k.match(/- no valid font/)){j="noFonts"}}}if(j&&b.Message[j]){a(b.Message[j])}}})}})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/FontWarnings.js");

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/*
* /MathJax/extensions/HTML-CSS/handle-floats.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.Extension["HTML-CSS/handle-floats"]={version:"2.1"};MathJax.Hub.Config({"HTML-CSS":{styles:{".MathJax_Display":{display:"table-cell",padding:"1em 0 ! important",width:(MathJax.Hub.Browser.isMSIE&&(document.documentMode||0)<8?"100%":"1000em")}}}});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.OutputJax["HTML-CSS"],b=a.Translate;a.Augment({Translate:function(c,f){b.call(this,c,f);if(c.MathJax.elementJax.HTMLCSS.display){var e=c.nextSibling;if(!e||e.className!=="MathJax_MSIE_Separator"){var d=a.Element("span",{className:"MathJax_MSIE_Separator"});c.parentNode.insertBefore(d,e)}}}});MathJax.Hub.Startup.signal.Post("HTML-CSS handle-floats Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/HTML-CSS/handle-floats.js");

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/*
* /MathJax/extensions/TeX/HTML.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.Extension["TeX/HTML"]={version:"2.1"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX;var a=b.Definitions;a.Add({macros:{href:"HREF_attribute","class":"CLASS_attribute",style:"STYLE_attribute",cssId:"ID_attribute"}},null,true);b.Parse.Augment({HREF_attribute:function(e){var d=this.GetArgument(e),c=this.GetArgumentMML(e);this.Push(c.With({href:d}))},CLASS_attribute:function(d){var e=this.GetArgument(d),c=this.GetArgumentMML(d);if(c["class"]!=null){e=c["class"]+" "+e}this.Push(c.With({"class":e}))},STYLE_attribute:function(d){var e=this.GetArgument(d),c=this.GetArgumentMML(d);if(c.style!=null){if(e.charAt(e.length-1)!==";"){e+=";"}e=c.style+" "+e}this.Push(c.With({style:e}))},ID_attribute:function(e){var d=this.GetArgument(e),c=this.GetArgumentMML(e);this.Push(c.With({id:d}))},GetArgumentMML:function(d){var c=this.ParseArg(d);if(c.inferred&&c.data.length==1){c=c.data[0]}else{delete c.inferred}return c}});MathJax.Hub.Startup.signal.Post("TeX HTML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/HTML.js");

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/*
* /MathJax/extensions/TeX/action.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.Extension["TeX/action"]={version:"2.1"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml;b.Definitions.Add({macros:{toggle:"Toggle",mathtip:"Mathtip",texttip:["Macro","\\mathtip{#1}{\\text{#2}}",2]}},null,true);b.Parse.Augment({Toggle:function(d){var e=[],c;while((c=this.GetArgument(d))!=="\\endtoggle"){e.push(b.Parse(c,this.stack.env).mml())}this.Push(a.maction.apply(a,e).With({actiontype:a.ACTIONTYPE.TOGGLE}))},Mathtip:function(d){var c=this.ParseArg(d),e=this.ParseArg(d);this.Push(a.maction(c,e).With({actiontype:a.ACTIONTYPE.TOOLTIP}))}});MathJax.Hub.Startup.signal.Post("TeX action Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/action.js");

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/*
* /MathJax/extensions/TeX/autobold.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.Extension["TeX/autobold"]={version:"2.1"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.InputJax.TeX;a.prefilterHooks.Add(function(d){var c=d.script.parentNode.insertBefore(document.createElement("span"),d.script);c.visibility="hidden";c.style.fontFamily="Times, serif";c.appendChild(document.createTextNode("ABCXYZabcxyz"));var b=c.offsetWidth;c.style.fontWeight="bold";if(b&&c.offsetWidth===b){d.math="\\boldsymbol{"+d.math+"}"}c.parentNode.removeChild(c)});MathJax.Hub.Startup.signal.Post("TeX autobold Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/autobold.js");

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/*
* /MathJax/extensions/TeX/autoload-all.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.Extension["TeX/autoload-all"]={version:"2.1"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var h={action:["mathtip","texttip","toggle"],AMSmath:["mathring","nobreakspace","negmedspace","negthickspace","intI","iiiint","idotsint","dddot","ddddot","sideset","boxed","substack","injlim","projlim","varliminf","varlimsup","varinjlim","varprojlim","DeclareMathOperator","operatorname","genfrac","tfrac","dfrac","binom","tbinom","dbinom","cfrac","shoveleft","shoveright","xrightarrow","xleftarrow"],begingroup:["begingroup","endgroup","gdef","global"],cancel:["cancel","bcancel","xcancel","cancelto"],color:["color","textcolor","colorbox","fcolorbox","DefineColor"],enclose:["enclose"],extpfeil:["Newextarrow","xlongequal","xmapsto","xtofrom","xtwoheadleftarrow","xtwoheadrightarrow"],mhchem:["ce","cee","cf"]};var c={AMSmath:["subarray","smallmatrix","equation","equation*"]};var d,g,b,a={macros:{},environment:{}};for(d in h){if(h.hasOwnProperty(d)){if(!MathJax.Extension["TeX/"+d]){var f=h[d];for(g=0,b=f.length;g<b;g++){a.macros[f[g]]=["Extension",d]}}}}for(d in c){if(c.hasOwnProperty(d)){if(!MathJax.Extension["TeX/"+d]){var e=c[d];for(g=0,b=e.length;g<b;g++){a.environment[e[g]]=["ExtensionEnv",null,d]}}}}MathJax.InputJax.TeX.Definitions.Add(a);MathJax.Hub.Startup.signal.Post("TeX autoload-all Ready")});MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/TeX/AMSsymbols.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/TeX/autoload-all.js"]);

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/*
* /MathJax/extensions/TeX/bbox.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.Extension["TeX/bbox"]={version:"2.1"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml;b.Definitions.Add({macros:{bbox:"BBox"}},null,true);b.Parse.Augment({BBox:function(e){var n=this.GetBrackets(e,""),m=this.ParseArg(e);var j=n.split(/,/),g,d,c;for(var k in j){var f=j[k].replace(/^\s+/,"").replace(/\s+$/,"");var l=f.match(/^(\.\d+|\d+(\.\d*)?)(pt|em|ex|mu|px|in|cm|mm)$/);if(l){var h=l[1]+l[3];if(g){b.Error("Padding specified twice in "+e)}g={height:"+"+h,depth:"+"+h,lspace:h,width:"+"+(2*l[1])+l[3]}}else{if(f.match(/^([a-z0-9]+|\#[0-9a-f]{6}|\#[0-9a-f]{3})$/i)){if(d){b.Error("Background specified twice in "+e)}d=f}else{if(f.match(/^[-a-z]+:/i)){if(c){b.Error("Style specified twice in "+e)}c=f}else{if(f!==""){b.Error("'"+f+"' doesn't look like a color, a padding dimension, or a style")}}}}}if(g){m=a.mpadded(m).With(g)}if(d||c){m=a.mstyle(m).With({mathbackground:d,style:c})}this.Push(m)}});MathJax.Hub.Startup.signal.Post("TeX bbox Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/bbox.js");

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/*
* /MathJax/extensions/TeX/begingroup.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.Extension["TeX/begingroup"]={version:"2.1"};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][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(!(h instanceof Array)){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:["Extension","newcommand"],gdef:["Extension","newcommand"]}},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("Extra "+e+" or missing \\begingroup")}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"))}});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.Register.StartupHook("TeX newcommand Ready",function(){b.Add({macros:{global:"Global",gdef:["Macro","\\global\\def"]}},null,true);d.Parse.Augment({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"){d.Error(e+" not followed by \\let, \\def, or \\newcommand")}this.stack.env.isGlobal=true}})});MathJax.Hub.Startup.signal.Post("TeX begingroup Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/begingroup.js");

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/*
* /MathJax/extensions/TeX/boldsymbol.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.Extension["TeX/boldsymbol"]={version:"2.1"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml;var d=MathJax.InputJax.TeX;var b=d.Definitions;var c={};c[a.VARIANT.NORMAL]=a.VARIANT.BOLD;c[a.VARIANT.ITALIC]=a.VARIANT.BOLDITALIC;c[a.VARIANT.FRAKTUR]=a.VARIANT.BOLDFRAKTUR;c[a.VARIANT.SCRIPT]=a.VARIANT.BOLDSCRIPT;c[a.VARIANT.SANSSERIF]=a.VARIANT.BOLDSANSSERIF;c["-tex-caligraphic"]="-tex-caligraphic-bold";c["-tex-oldstyle"]="-tex-oldstyle-bold";b.Add({macros:{boldsymbol:"Boldsymbol"}},null,true);d.Parse.Augment({mmlToken:function(f){if(this.stack.env.boldsymbol){var e=f.Get("mathvariant");if(e==null){f.mathvariant=a.VARIANT.BOLD}else{f.mathvariant=(c[e]||e)}}return f},Boldsymbol:function(h){var e=this.stack.env.boldsymbol,f=this.stack.env.font;this.stack.env.boldsymbol=true;this.stack.env.font=null;var g=this.ParseArg(h);this.stack.env.font=f;this.stack.env.boldsymbol=e;this.Push(g)}});MathJax.Hub.Startup.signal.Post("TeX boldsymbol Ready")});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.OutputJax["HTML-CSS"];var c=a.FONTDATA.FONTS;var b=a.FONTDATA.VARIANT;if(a.fontInUse==="TeX"){c["MathJax_Caligraphic-bold"]="Caligraphic/Bold/Main.js";b["-tex-caligraphic-bold"]={fonts:["MathJax_Caligraphic-bold","MathJax_Main-bold","MathJax_Main","MathJax_Math","MathJax_Size1"],offsetA:65,variantA:"bold-italic"};b["-tex-oldstyle-bold"]={fonts:["MathJax_Caligraphic-bold","MathJax_Main-bold","MathJax_Main","MathJax_Math","MathJax_Size1"]};if(a.msieCheckGreek&&a.Font.testFont({family:"MathJax_Greek",weight:"bold",style:"italic",testString:a.msieCheckGreek})){b["bold-italic"].offsetG=913;b["bold-italic"].variantG="-Greek-Bold-Italic";b["-Greek-Bold-Italic"]={fonts:["MathJax_Greek-bold-italic"]};c["MathJax_Greek-bold-italic"]="Greek/BoldItalic/Main.js"}if(MathJax.Hub.Browser.isChrome&&!MathJax.Hub.Browser.versionAtLeast("5.0")){b["-tex-caligraphic-bold"].remap={84:[58096,"-WinChrome"]}}}else{if(a.fontInUse==="STIX"){b["-tex-caligraphic-bold"]={fonts:["STIXGeneral-bold-italic","STIXNonUnicode-bold-italic","STIXNonUnicode","STIXGeneral","STIXSizeOneSym"],offsetA:57927,noLowerCase:1};b["-tex-oldstyle-bold"]={fonts:["STIXGeneral-bold","STIXNonUnicode-bold","STIXGeneral","STIXSizeOneSym"],offsetN:57955,remap:{57956:57959,57957:57963,57958:57967,57959:57971,57960:57975,57961:57979,57962:57983,57963:57987,57964:57991}}}}});MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c=MathJax.OutputJax.SVG;var b=c.FONTDATA.FONTS;var a=c.FONTDATA.VARIANT;b["MathJax_Caligraphic-bold"]="Caligraphic/Bold/Main.js";a["-tex-caligraphic-bold"]={fonts:["MathJax_Caligraphic-bold","MathJax_Main-bold","MathJax_Main","MathJax_Math","MathJax_Size1"],offsetA:65,variantA:"bold-italic"};a["-tex-oldstyle-bold"]={fonts:["MathJax_Caligraphic-bold","MathJax_Main-bold","MathJax_Main","MathJax_Math","MathJax_Size1"]}});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/boldsymbol.js");

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/*
* /MathJax/extensions/TeX/cancel.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.Extension["TeX/cancel"]={version:"2.1",ALLOWED:{arrow:1,color:1,mathcolor:1,background:1,mathbackground:1,padding:1,thickness:1}};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml,b=MathJax.Extension["TeX/cancel"];b.setAttributes=function(h,e){if(e!==""){e=e.replace(/ /g,"").split(/,/);for(var g=0,d=e.length;g<d;g++){var f=e[g].split(/[:=]/);if(b.ALLOWED[f[0]]){if(f[1]==="true"){f[1]=true}if(f[1]==="false"){f[1]=false}h[f[0]]=f[1]}}}return h};c.Definitions.Add({macros:{cancel:["Cancel",a.NOTATION.UPDIAGONALSTRIKE],bcancel:["Cancel",a.NOTATION.DOWNDIAGONALSTRIKE],xcancel:["Cancel",a.NOTATION.UPDIAGONALSTRIKE+" "+a.NOTATION.DOWNDIAGONALSTRIKE],cancelto:"CancelTo"}},null,true);c.Parse.Augment({Cancel:function(e,g){var d=this.GetBrackets(e,""),f=this.ParseArg(e);var h=b.setAttributes({notation:g},d);this.Push(a.menclose(f).With(h))},CancelTo:function(e,g){var i=this.ParseArg(e),d=this.GetBrackets(e,""),f=this.ParseArg(e);var h=b.setAttributes({notation:a.NOTATION.UPDIAGONALSTRIKE,arrow:true},d);i=a.mpadded(i).With({depth:"-.1em",height:"+.1em",voffset:".1em"});this.Push(a.msup(a.menclose(f).With(h),i))}});MathJax.Hub.Startup.signal.Post("TeX cancel Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/cancel.js");

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/*
* /MathJax/extensions/TeX/color.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.Extension["TeX/color"]={version:"2.1",config:MathJax.Hub.CombineConfig("TeX.color",{padding:"5px",border:"2px"}),colors:{Apricot:"#FBB982",Aquamarine:"#00B5BE",Bittersweet:"#C04F17",Black:"#221E1F",Blue:"#2D2F92",BlueGreen:"#00B3B8",BlueViolet:"#473992",BrickRed:"#B6321C",Brown:"#792500",BurntOrange:"#F7921D",CadetBlue:"#74729A",CarnationPink:"#F282B4",Cerulean:"#00A2E3",CornflowerBlue:"#41B0E4",Cyan:"#00AEEF",Dandelion:"#FDBC42",DarkOrchid:"#A4538A",Emerald:"#00A99D",ForestGreen:"#009B55",Fuchsia:"#8C368C",Goldenrod:"#FFDF42",Gray:"#949698",Green:"#00A64F",GreenYellow:"#DFE674",JungleGreen:"#00A99A",Lavender:"#F49EC4",LimeGreen:"#8DC73E",Magenta:"#EC008C",Mahogany:"#A9341F",Maroon:"#AF3235",Melon:"#F89E7B",MidnightBlue:"#006795",Mulberry:"#A93C93",NavyBlue:"#006EB8",OliveGreen:"#3C8031",Orange:"#F58137",OrangeRed:"#ED135A",Orchid:"#AF72B0",Peach:"#F7965A",Periwinkle:"#7977B8",PineGreen:"#008B72",Plum:"#92268F",ProcessBlue:"#00B0F0",Purple:"#99479B",RawSienna:"#974006",Red:"#ED1B23",RedOrange:"#F26035",RedViolet:"#A1246B",Rhodamine:"#EF559F",RoyalBlue:"#0071BC",RoyalPurple:"#613F99",RubineRed:"#ED017D",Salmon:"#F69289",SeaGreen:"#3FBC9D",Sepia:"#671800",SkyBlue:"#46C5DD",SpringGreen:"#C6DC67",Tan:"#DA9D76",TealBlue:"#00AEB3",Thistle:"#D883B7",Turquoise:"#00B4CE",Violet:"#58429B",VioletRed:"#EF58A0",White:"#FFFFFF",WildStrawberry:"#EE2967",Yellow:"#FFF200",YellowGreen:"#98CC70",YellowOrange:"#FAA21A"},getColor:function(a,c){if(!a){a="named"}var b=this["get_"+a];if(!b){this.TEX.Error("Color model '"+a+"' not defined")}return b.call(this,c)},get_rgb:function(b){b=b.split(/,/);var a="#";if(b.length!==3){this.TEX.Error("rgb colors require 3 decimal numbers")}for(var c=0;c<3;c++){if(!b[c].match(/^(\d+(\.\d*)?|\.\d+)$/)){this.TEX.Error("Invalid decimal number")}var d=parseFloat(b[c]);if(d<0||d>1){this.TEX.Error("rgb values must be between 0 and 1")}d=Math.floor(d*255).toString(16);if(d.length<2){d="0"+d}a+=d}return a},get_RGB:function(b){b=b.split(/,/);var a="#";if(b.length!==3){this.TEX.Error("RGB colors require 3 numbers")}for(var c=0;c<3;c++){if(!b[c].match(/^\d+$/)){this.TEX.Error("Invalid number")}var d=parseInt(b[c]);if(d>255){this.TEX.Error("RGB values must be between 0 and 255")}d=d.toString(16);if(d.length<2){d="0"+d}a+=d}return a},get_gray:function(a){if(!a.match(/^(\d+(\.\d*)?|\.\d+)$/)){this.TEX.Error("Invalid decimal number")}var b=parseFloat(a);if(b<0||b>1){this.TEX.Error("Grey-scale values must be between 0 and 1")}b=Math.floor(b*255).toString(16);if(b.length<2){b="0"+b}return"#"+b+b+b},get_named:function(a){if(this.colors[a]){return this.colors[a]}return a},padding:function(){var c="+"+this.config.padding;var a=this.config.padding.replace(/^.*?([a-z]*)$/,"$1");var b="+"+(2*parseFloat(c))+a;return{width:b,height:c,depth:c,lspace:this.config.padding}}};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var d=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml;var c=d.Stack.Item;var b=MathJax.Extension["TeX/color"];b.TEX=d;d.Definitions.Add({macros:{color:"Color",textcolor:"TextColor",definecolor:"DefineColor",colorbox:"ColorBox",fcolorbox:"fColorBox"}},null,true);d.Parse.Augment({Color:function(h){var g=this.GetBrackets(h),e=this.GetArgument(h);e=b.getColor(g,e);var f=c.style().With({styles:{mathcolor:e}});this.stack.env.color=e;this.Push(f)},TextColor:function(h){var g=this.GetBrackets(h),f=this.GetArgument(h);f=b.getColor(g,f);var e=this.stack.env.color;this.stack.env.color=f;var i=this.ParseArg(h);if(e){this.stack.env.color}else{delete this.stack.env.color}this.Push(a.mstyle(i).With({mathcolor:f}))},DefineColor:function(g){var f=this.GetArgument(g),e=this.GetArgument(g),h=this.GetArgument(g);b.colors[f]=b.getColor(e,h)},ColorBox:function(g){var f=this.GetArgument(g),e=this.InternalMath(this.GetArgument(g));this.Push(a.mpadded.apply(a,e).With({mathbackground:b.getColor("named",f)}).With(b.padding()))},fColorBox:function(g){var h=this.GetArgument(g),f=this.GetArgument(g),e=this.InternalMath(this.GetArgument(g));this.Push(a.mpadded.apply(a,e).With({mathbackground:b.getColor("named",f),style:"border: "+b.config.border+" solid "+b.getColor("named",h)}).With(b.padding()))}});MathJax.Hub.Startup.signal.Post("TeX color Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/color.js");

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/*
* /MathJax/extensions/TeX/enclose.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.Extension["TeX/enclose"]={version:"2.1",ALLOWED:{arrow:1,color:1,mathcolor:1,background:1,mathbackground:1,padding:1,thickness:1}};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml,b=MathJax.Extension["TeX/enclose"].ALLOWED;c.Definitions.Add({macros:{enclose:"Enclose"}},null,true);c.Parse.Augment({Enclose:function(g){var k=this.GetArgument(g),e=this.GetBrackets(g),j=this.ParseArg(g);var l={notation:k.replace(/,/g," ")};if(e){e=e.replace(/ /g,"").split(/,/);for(var h=0,d=e.length;h<d;h++){var f=e[h].split(/[:=]/);if(b[f[0]]){f[1]=f[1].replace(/^"(.*)"$/,"$1");if(f[1]==="true"){f[1]=true}if(f[1]==="false"){f[1]=false}l[f[0]]=f[1]}}}this.Push(a.menclose(j).With(l))}});MathJax.Hub.Startup.signal.Post("TeX enclose Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/enclose.js");

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/*
* /MathJax/extensions/TeX/extpfeil.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.Extension["TeX/extpfeil"]={version:"2.1"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX,a=b.Definitions;a.Add({macros:{xtwoheadrightarrow:["Extension","AMSmath"],xtwoheadleftarrow:["Extension","AMSmath"],xmapsto:["Extension","AMSmath"],xlongequal:["Extension","AMSmath"],xtofrom:["Extension","AMSmath"],Newextarrow:["Extension","AMSmath"]}},null,true);MathJax.Hub.Register.StartupHook("TeX AMSmath Ready",function(){MathJax.Hub.Insert(a,{macros:{xtwoheadrightarrow:["xArrow",8608,12,16],xtwoheadleftarrow:["xArrow",8606,17,13],xmapsto:["xArrow",8614,6,7],xlongequal:["xArrow",61,7,7],xtofrom:["xArrow",8644,12,12],Newextarrow:"NewExtArrow"}})});b.Parse.Augment({NewExtArrow:function(c){var e=this.GetArgument(c),f=this.GetArgument(c),d=this.GetArgument(c);if(!e.match(/^\\([a-z]+|.)$/i)){b.Error("First argument to "+c+" must be a control sequence name")}if(!f.match(/^(\d+),(\d+)$/)){b.Error("Second argument to "+c+" must be two integers separated by a comma")}if(!d.match(/^(\d+|0x[0-9A-F]+)$/i)){b.Error("Third argument to "+c+" must be a unicode character number")}e=e.substr(1);f=f.split(",");d=parseInt(d);a.macros[e]=["xArrow",d,parseInt(f[0]),parseInt(f[1])]}});MathJax.Hub.Startup.signal.Post("TeX extpfeil Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/extpfeil.js");

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/*
* /MathJax/extensions/TeX/mathchoice.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c="2.1";var a=MathJax.ElementJax.mml;var d=MathJax.InputJax.TeX;var b=d.Definitions;b.Add({macros:{mathchoice:"MathChoice"}},null,true);d.Parse.Augment({MathChoice:function(f){var i=this.ParseArg(f),e=this.ParseArg(f),g=this.ParseArg(f),h=this.ParseArg(f);this.Push(a.TeXmathchoice(i,e,g,h))}});a.TeXmathchoice=a.mbase.Subclass({type:"TeXmathchoice",choice:function(){var e=this.getValues("displaystyle","scriptlevel");if(e.scriptlevel>0){return Math.min(3,e.scriptlevel+1)}return(e.displaystyle?0:1)},setTeXclass:function(e){return this.Core().setTeXclass(e)},isSpacelike:function(){return this.Core().isSpacelike()},isEmbellished:function(){return this.Core().isEmbellished()},Core:function(){return this.data[this.choice()]},toHTML:function(e){e=this.HTMLcreateSpan(e);e.bbox=this.Core().toHTML(e).bbox;if(e.firstChild&&e.firstChild.style.marginLeft){e.style.marginLeft=e.firstChild.style.marginLeft;e.firstChild.style.marginLeft=""}return e},toSVG:function(){return this.Core().toSVG()}});MathJax.Hub.Startup.signal.Post("TeX mathchoice Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/mathchoice.js");

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/*
* /MathJax/extensions/TeX/newcommand.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.Extension["TeX/newcommand"]={version:"2.1"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX;var a=b.Definitions;a.Add({macros:{newcommand:"NewCommand",renewcommand:"NewCommand",newenvironment:"NewEnvironment",renewenvironment:"NewEnvironment",def:"MacroDef",let:"Let"}},null,true);b.Parse.Augment({NewCommand:function(c){var e=this.trimSpaces(this.GetArgument(c)),g=this.GetBrackets(c),d=this.GetBrackets(c),f=this.GetArgument(c);if(e.charAt(0)==="\\"){e=e.substr(1)}if(!e.match(/^(.|[a-z]+)$/i)){b.Error("Illegal control sequence name for "+c)}if(g){g=this.trimSpaces(g);if(!g.match(/^[0-9]+$/)){b.Error("Illegal number of parameters specified in "+c)}}this.setDef(e,["Macro",f,g,d])},NewEnvironment:function(d){var e=this.trimSpaces(this.GetArgument(d)),g=this.GetBrackets(d),f=this.GetArgument(d),c=this.GetArgument(d);if(g){g=this.trimSpaces(g);if(!g.match(/^[0-9]+$/)){b.Error("Illegal number of parameters specified in "+d)}}this.setEnv(e,["BeginEnv","EndEnv",f,c,g])},MacroDef:function(c){var d=this.GetCSname(c),f=this.GetTemplate(c,"\\"+d),e=this.GetArgument(c);if(!(f instanceof Array)){this.setDef(d,["Macro",e,f])}else{this.setDef(d,["MacroWithTemplate",e].concat(f))}},Let:function(d){var e=this.GetCSname(d),f;var g=this.GetNext();if(g==="="){this.i++;g=this.GetNext()}if(g==="\\"){d=this.GetCSname(d);f=this.csFindMacro(d);if(!f){if(a.mathchar0mi[d]){f=["csMathchar0mi",a.mathchar0mi[d]]}else{if(a.mathchar0mo[d]){f=["csMathchar0mo",a.mathchar0mo[d]]}else{if(a.mathchar7[d]){f=["csMathchar7",a.mathchar7[d]]}else{if(a.delimiter["\\"+d]!=null){f=["csDelimiter",a.delimiter["\\"+d]]}}}}}}else{f=["Macro",g];this.i++}this.setDef(e,f)},setDef:function(c,d){d.isUser=true;a.macros[c]=d},setEnv:function(c,d){d.isUser=true;a.environment[c]=d},GetCSname:function(e){var f=this.GetNext();if(f!=="\\"){b.Error("\\ must be followed by a control sequence")}var d=this.trimSpaces(this.GetArgument(e));return d.substr(1)},GetTemplate:function(f,e){var j,g=[],h=0;j=this.GetNext();var d=this.i;while(this.i<this.string.length){j=this.GetNext();if(j==="#"){if(d!==this.i){g[h]=this.string.substr(d,this.i-d)}j=this.string.charAt(++this.i);if(!j.match(/^[1-9]$/)){b.Error("Illegal use of # in template for "+e)}if(parseInt(j)!=++h){b.Error("Parameters for "+e+" must be numbered sequentially")}d=this.i+1}else{if(j==="{"){if(d!==this.i){g[h]=this.string.substr(d,this.i-d)}if(g.length>0){return[h,g]}else{return h}}}this.i++}b.Error("Missing replacement string for definition of "+f)},MacroWithTemplate:function(d,g,h,f){if(h){var c=[];this.GetNext();if(f[0]&&!this.MatchParam(f[0])){b.Error("Use of "+d+" doesn't match its definition")}for(var e=0;e<h;e++){c.push(this.GetParameter(d,f[e+1]))}g=this.SubstituteArgs(c,g)}this.string=this.AddArgs(g,this.string.slice(this.i));this.i=0;if(++this.macroCount>b.config.MAXMACROS){b.Error("MathJax maximum macro substitution count exceeded; is there a recursive macro call?")}},BeginEnv:function(f,h,c,g){if(g){var d=[];for(var e=0;e<g;e++){d.push(this.GetArgument("\\begin{"+name+"}"))}h=this.SubstituteArgs(d,h);c=this.SubstituteArgs(d,c)}f.edef=c;this.string=this.AddArgs(h,this.string.slice(this.i));this.i=0;return f},EndEnv:function(c,d){this.string=this.AddArgs(c.edef,this.string.slice(this.i));this.i=0;return d},GetParameter:function(d,g){if(g==null){return this.GetArgument(d)}var f=this.i,c=0,e=0;while(this.i<this.string.length){if(this.string.charAt(this.i)==="{"){if(this.i===f){e=1}this.GetArgument(d);c=this.i-f}else{if(this.MatchParam(g)){if(e){f++;c-=2}return this.string.substr(f,c)}else{this.i++;c++;e=0}}}b.Error("Runaway argument for "+d+"?")},MatchParam:function(c){if(this.string.substr(this.i,c.length)!==c){return 0}this.i+=c.length;return 1}});b.Environment=function(c){a.environment[c]=["BeginEnv","EndEnv"].concat([].slice.call(arguments,1));a.environment[c].isUser=true};MathJax.Hub.Startup.signal.Post("TeX newcommand Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/newcommand.js");

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/*
* /MathJax/extensions/TeX/noErrors.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
(function(b,e){var d="2.1";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.call(this,j,k)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.call(this,p)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.call(this,i,j)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.call(this,n)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.call(this,j)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.call(this,n)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");

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/*
* /MathJax/extensions/TeX/noUndefined.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.Extension["TeX/noUndefined"]={version:"2.1",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");

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/*
* /MathJax/extensions/TeX/unicode.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.Extension["TeX/unicode"]={version:"2.1",unicode:{},config:MathJax.Hub.CombineConfig("TeX.unicode",{fonts:"STIXGeneral,'Arial Unicode MS'"})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c=MathJax.InputJax.TeX;var a=MathJax.ElementJax.mml;var b=MathJax.Extension["TeX/unicode"].unicode;c.Definitions.Add({macros:{unicode:"Unicode"}},null,true);c.Parse.Augment({Unicode:function(e){var i=this.GetBrackets(e),d;if(i){if(i.replace(/ /g,"").match(/^(\d+(\.\d*)?|\.\d+),(\d+(\.\d*)?|\.\d+)$/)){i=i.replace(/ /g,"").split(/,/);d=this.GetBrackets(e)}else{d=i;i=null}}var j=this.trimSpaces(this.GetArgument(e)),h=parseInt(j.match(/^x/)?"0"+j:j);if(!b[h]){b[h]=[800,200,d,h]}else{if(!d){d=b[h][2]}}if(i){b[h][0]=Math.floor(i[0]*1000);b[h][1]=Math.floor(i[1]*1000)}var f=this.stack.env.font,g={};if(d){b[h][2]=g.fontfamily=d.replace(/"/g,"'");if(f){if(f.match(/bold/)){g.fontweight="bold"}if(f.match(/italic|-mathit/)){g.fontstyle="italic"}}}else{if(f){g.mathvariant=f}}g.unicode=[].concat(b[h]);this.Push(a.mtext(a.entity("#"+j)).With(g))}});MathJax.Hub.Startup.signal.Post("TeX unicode Ready")});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.ElementJax.mml;var c=MathJax.Extension["TeX/unicode"].config.fonts;var b=a.mbase.prototype.HTMLgetVariant;a.mbase.Augment({HTMLgetVariant:function(){var d=b.call(this);if(d.unicode){delete d.unicode;delete d.FONTS}if(!this.unicode){return d}d.unicode=true;if(!d.defaultFont){d=MathJax.Hub.Insert({},d);d.defaultFont={family:c}}var e=this.unicode[2];if(e){e+=","+c}else{e=c}d.defaultFont[this.unicode[3]]=[this.unicode[0],this.unicode[1],500,0,500,{isUnknown:true,isUnicode:true,font:e}];return d}})});MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var a=MathJax.ElementJax.mml;var c=MathJax.Extension["TeX/unicode"].config.fonts;var b=a.mbase.prototype.SVGgetVariant;a.mbase.Augment({SVGgetVariant:function(){var d=b.call(this);if(d.unicode){delete d.unicode;delete d.FONTS}if(!this.unicode){return d}d.unicode=true;if(!d.forceFamily){d=MathJax.Hub.Insert({},d)}d.defaultFamily=c;d.noRemap=true;d.h=this.unicode[0];d.d=this.unicode[1];return d}})});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/unicode.js");

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/*
* /MathJax/extensions/TeX/verb.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.Extension["TeX/verb"]={version:"2.1"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX;var b=c.Definitions;b.Add({macros:{verb:"Verb"}},null,true);c.Parse.Augment({Verb:function(d){var g=this.GetNext();var f=++this.i;if(g==""){c.Error(d+" requires an argument")}while(this.i<this.string.length&&this.string.charAt(this.i)!=g){this.i++}if(this.i==this.string.length){c.Error("Can't find closing delimiter for "+d)}var e=this.string.slice(f,this.i);this.i++;this.Push(a.mtext(e).With({mathvariant:a.VARIANT.MONOSPACE}))}});MathJax.Hub.Startup.signal.Post("TeX verb Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/verb.js");

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lib/MathJax/extensions/asciimath2jax.js vendored Normal file
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/*
* /MathJax/extensions/asciimath2jax.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.Extension.asciimath2jax={version:"2.1",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");this.ignoreClass=new RegExp("(^| )("+b.ignoreClass+")( |$)");this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return c}}}return b},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b;if(this.config.preview==="AsciiMath"){b=[this.filterPreview(a)]}else{if(this.config.preview instanceof Array){b=this.config.preview}}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&(document.documentMode||0)<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");

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/*
* /MathJax/extensions/jsMath2jax.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.Extension.jsMath2jax={version:"2.1",config:{preview:"TeX"},PreProcess:function(b){if(!this.configured){this.config=MathJax.Hub.CombineConfig("jsMath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.previewClass=MathJax.Hub.config.preRemoveClass;this.configured=true}if(typeof(b)==="string"){b=document.getElementById(b)}if(!b){b=document.body}var c=b.getElementsByTagName("span"),a;for(a=c.length-1;a>=0;a--){if(String(c[a].className).match(/(^| )math( |$)/)){this.ConvertMath(c[a],"")}}var d=b.getElementsByTagName("div");for(a=d.length-1;a>=0;a--){if(String(d[a].className).match(/(^| )math( |$)/)){this.ConvertMath(d[a],"; mode=display")}}},ConvertMath:function(c,d){if(c.getElementsByTagName("script").length===0){var b=c.parentNode,a=this.createMathTag(d,c.innerHTML);if(c.nextSibling){b.insertBefore(a,c.nextSibling)}else{b.appendChild(a)}if(this.config.preview!=="none"){this.createPreview(c)}b.removeChild(c)}},createPreview:function(a){var b;if(this.config.preview==="TeX"){b=[this.filterPreview(a.innerHTML)]}else{if(this.config.preview instanceof Array){b=this.config.preview}}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);a.parentNode.insertBefore(b,a)}},createMathTag:function(c,b){b=b.replace(/&lt;/g,"<").replace(/&gt;/g,">").replace(/&amp;/g,"&");var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.jsMath2jax],8);MathJax.Ajax.loadComplete("[MathJax]/extensions/jsMath2jax.js");

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lib/MathJax/extensions/mml2jax.js vendored Normal file
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/*
* /MathJax/extensions/mml2jax.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
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/*
* /MathJax/extensions/toMathML.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
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/*
* /MathJax/extensions/v1.0-warning.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
(function(b,e){var d="2.1";var a={style:{position:"fixed",bottom:"4em",left:"3em",width:"40em",border:"3px solid #880000","background-color":"#E0E0E0",color:"black",padding:"1em","font-size":"small","white-space":"normal","border-radius":".75em","-webkit-border-radius":".75em","-moz-border-radius":".75em","-khtml-border-radius":".75em","box-shadow":"4px 4px 10px #AAAAAA","-webkit-box-shadow":"4px 4px 10px #AAAAAA","-moz-box-shadow":"4px 4px 10px #AAAAAA","-khtml-box-shadow":"4px 4px 10px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=3, OffY=3, Color='gray', Positive='true')"}};if(b.Browser.isIE9&&document.documentMode>=9){delete a.style.filter}var c;b.Register.StartupHook("onLoad",function(){var f=document.body;if(b.Browser.isMSIE){MathJax.Message.Init();f=document.getElementById("MathJax_MSIE_frame")||f;a.style.position="absolute"}else{delete a.style.filter}a.style.maxWidth=(document.body.clientWidth-75)+"px";c=e.addElement(f,"div",{id:"MathJax_ConfigWarning",style:a.style},[["div",{style:{position:"absolute",overflow:"hidden",top:".1em",right:".1em",border:"1px outset",width:"1em",height:"1em","text-align":"center",cursor:"pointer","background-color":"#EEEEEE",color:"#606060","border-radius":".5em","-webkit-border-radius":".5em","-moz-border-radius":".5em","-khtml-border-radius":".5em"},onclick:function(){c.style.display="none"}},[["span",{style:{position:"relative",bottom:".2em"}},["x"]]]],"MathJax no longer loads a default configuration file; you must specify such files explicitly. This page seems to use the older default ",["code",{},["config/MathJax.js"]]," file, and so needs to be updated. This is explained further at",["p",{style:{"text-align":"center"}},[["a",{href:"http://www.mathjax.org/help/configuration"},["http://www.mathjax.org/help/configuration"]]]]])})})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/v1.0-warning.js");

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/*
* /MathJax/jax/element/mml/optable/Arrows.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
(function(a){var c=a.mo.OPTYPES;var b=a.TEXCLASS;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u219A":c.RELACCENT,"\u219B":c.RELACCENT,"\u219C":c.WIDEREL,"\u219D":c.WIDEREL,"\u219E":c.WIDEREL,"\u219F":c.WIDEREL,"\u21A0":c.WIDEREL,"\u21A1":c.RELSTRETCH,"\u21A2":c.WIDEREL,"\u21A3":c.WIDEREL,"\u21A4":c.WIDEREL,"\u21A5":c.RELSTRETCH,"\u21A7":c.RELSTRETCH,"\u21A8":c.RELSTRETCH,"\u21AB":c.WIDEREL,"\u21AC":c.WIDEREL,"\u21AD":c.WIDEREL,"\u21AE":c.RELACCENT,"\u21AF":c.RELSTRETCH,"\u21B0":c.RELSTRETCH,"\u21B1":c.RELSTRETCH,"\u21B2":c.RELSTRETCH,"\u21B3":c.RELSTRETCH,"\u21B4":c.RELSTRETCH,"\u21B5":c.RELSTRETCH,"\u21B6":c.RELACCENT,"\u21B7":c.RELACCENT,"\u21B8":c.REL,"\u21B9":c.WIDEREL,"\u21BA":c.REL,"\u21BB":c.REL,"\u21BE":c.RELSTRETCH,"\u21BF":c.RELSTRETCH,"\u21C2":c.RELSTRETCH,"\u21C3":c.RELSTRETCH,"\u21C4":c.WIDEREL,"\u21C5":c.RELSTRETCH,"\u21C6":c.WIDEREL,"\u21C7":c.WIDEREL,"\u21C8":c.RELSTRETCH,"\u21C9":c.WIDEREL,"\u21CA":c.RELSTRETCH,"\u21CB":c.WIDEREL,"\u21CD":c.RELACCENT,"\u21CE":c.RELACCENT,"\u21CF":c.RELACCENT,"\u21D6":c.RELSTRETCH,"\u21D7":c.RELSTRETCH,"\u21D8":c.RELSTRETCH,"\u21D9":c.RELSTRETCH,"\u21DA":c.WIDEREL,"\u21DB":c.WIDEREL,"\u21DC":c.WIDEREL,"\u21DD":c.WIDEREL,"\u21DE":c.REL,"\u21DF":c.REL,"\u21E0":c.WIDEREL,"\u21E1":c.RELSTRETCH,"\u21E2":c.WIDEREL,"\u21E3":c.RELSTRETCH,"\u21E4":c.WIDEREL,"\u21E5":c.WIDEREL,"\u21E6":c.WIDEREL,"\u21E7":c.RELSTRETCH,"\u21E8":c.WIDEREL,"\u21E9":c.RELSTRETCH,"\u21EA":c.RELSTRETCH,"\u21EB":c.RELSTRETCH,"\u21EC":c.RELSTRETCH,"\u21ED":c.RELSTRETCH,"\u21EE":c.RELSTRETCH,"\u21EF":c.RELSTRETCH,"\u21F0":c.WIDEREL,"\u21F1":c.REL,"\u21F2":c.REL,"\u21F3":c.RELSTRETCH,"\u21F4":c.RELACCENT,"\u21F5":c.RELSTRETCH,"\u21F6":c.WIDEREL,"\u21F7":c.RELACCENT,"\u21F8":c.RELACCENT,"\u21F9":c.RELACCENT,"\u21FA":c.RELACCENT,"\u21FB":c.RELACCENT,"\u21FC":c.RELACCENT,"\u21FD":c.WIDEREL,"\u21FE":c.WIDEREL,"\u21FF":c.WIDEREL}}});MathJax.Ajax.loadComplete(a.optableDir+"/Arrows.js")})(MathJax.ElementJax.mml);

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/*
* /MathJax/jax/element/mml/optable/BasicLatin.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
(function(a){var c=a.mo.OPTYPES;var b=a.TEXCLASS;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{prefix:{"||":[0,0,b.BIN,{fence:true,stretchy:true,symmetric:true}],"|||":[0,0,b.ORD,{fence:true,stretchy:true,symmetric:true}]},postfix:{"!!":[1,0,b.BIN],"'":c.ACCENT,"++":[0,0,b.BIN],"--":[0,0,b.BIN],"..":[0,0,b.BIN],"...":c.ORD,"||":[0,0,b.BIN,{fence:true,stretchy:true,symmetric:true}],"|||":[0,0,b.ORD,{fence:true,stretchy:true,symmetric:true}]},infix:{"!=":c.BIN4,"&&":c.BIN4,"**":[1,1,b.BIN],"*=":c.BIN4,"+=":c.BIN4,"-=":c.BIN4,"->":c.BIN5,"//":[1,1,b.BIN],"/=":c.BIN4,":=":c.BIN4,"<=":c.BIN5,"<>":[1,1,b.BIN],"==":c.BIN4,">=":c.BIN5,"@":c.ORD11,"||":[2,2,b.BIN,{fence:true,stretchy:true,symmetric:true}],"|||":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}]}}});MathJax.Ajax.loadComplete(a.optableDir+"/BasicLatin.js")})(MathJax.ElementJax.mml);

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/*
* /MathJax/jax/element/mml/optable/CombDiacritMarks.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
(function(a){var c=a.mo.OPTYPES;var b=a.TEXCLASS;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{postfix:{"\u0311":c.ACCENT}}});MathJax.Ajax.loadComplete(a.optableDir+"/CombDiacritMarks.js")})(MathJax.ElementJax.mml);

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/*
* /MathJax/jax/element/mml/optable/CombDiactForSymbols.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
(function(a){var c=a.mo.OPTYPES;var b=a.TEXCLASS;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{postfix:{"\u20DB":c.ACCENT,"\u20DC":c.ACCENT}}});MathJax.Ajax.loadComplete(a.optableDir+"/CombDiactForSymbols.js")})(MathJax.ElementJax.mml);

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lib/MathJax/jax/element/mml/optable/Dingbats.js vendored Normal file
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/*
* /MathJax/jax/element/mml/optable/Dingbats.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
(function(a){var c=a.mo.OPTYPES;var b=a.TEXCLASS;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{prefix:{"\u2772":c.OPEN},postfix:{"\u2773":c.CLOSE}}});MathJax.Ajax.loadComplete(a.optableDir+"/Dingbats.js")})(MathJax.ElementJax.mml);

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lib/MathJax/jax/element/mml/optable/GeneralPunctuation.js vendored Normal file
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/*
* /MathJax/jax/element/mml/optable/GeneralPunctuation.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
(function(a){var c=a.mo.OPTYPES;var b=a.TEXCLASS;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{prefix:{"\u2016":[0,0,b.ORD,{fence:true,stretchy:true}],"\u2018":[0,0,b.OPEN,{fence:true}],"\u201C":[0,0,b.OPEN,{fence:true}]},postfix:{"\u2016":[0,0,b.ORD,{fence:true,stretchy:true}],"\u2019":[0,0,b.CLOSE,{fence:true}],"\u201D":[0,0,b.CLOSE,{fence:true}]}}});MathJax.Ajax.loadComplete(a.optableDir+"/GeneralPunctuation.js")})(MathJax.ElementJax.mml);

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lib/MathJax/jax/element/mml/optable/GeometricShapes.js vendored Normal file
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/*
* /MathJax/jax/element/mml/optable/GeometricShapes.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
(function(a){var c=a.mo.OPTYPES;var b=a.TEXCLASS;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u25A0":c.BIN3,"\u25A1":c.BIN3,"\u25AA":c.BIN3,"\u25AB":c.BIN3,"\u25AD":c.BIN3,"\u25AE":c.BIN3,"\u25AF":c.BIN3,"\u25B0":c.BIN3,"\u25B1":c.BIN3,"\u25B2":c.BIN4,"\u25B4":c.BIN4,"\u25B6":c.BIN4,"\u25B7":c.BIN4,"\u25B8":c.BIN4,"\u25BC":c.BIN4,"\u25BE":c.BIN4,"\u25C0":c.BIN4,"\u25C1":c.BIN4,"\u25C2":c.BIN4,"\u25C4":c.BIN4,"\u25C5":c.BIN4,"\u25C6":c.BIN4,"\u25C7":c.BIN4,"\u25C8":c.BIN4,"\u25C9":c.BIN4,"\u25CC":c.BIN4,"\u25CD":c.BIN4,"\u25CE":c.BIN4,"\u25CF":c.BIN4,"\u25D6":c.BIN4,"\u25D7":c.BIN4,"\u25E6":c.BIN4}}});MathJax.Ajax.loadComplete(a.optableDir+"/GeometricShapes.js")})(MathJax.ElementJax.mml);

16
lib/MathJax/jax/element/mml/optable/GreekAndCoptic.js vendored Normal file
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/*
* /MathJax/jax/element/mml/optable/GreekAndCoptic.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
(function(a){var c=a.mo.OPTYPES;var b=a.TEXCLASS;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u03F6":c.REL}}});MathJax.Ajax.loadComplete(a.optableDir+"/GreekAndCoptic.js")})(MathJax.ElementJax.mml);

16
lib/MathJax/jax/element/mml/optable/Latin1Supplement.js vendored Normal file
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/*
* /MathJax/jax/element/mml/optable/Latin1Supplement.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
(function(a){var c=a.mo.OPTYPES;var b=a.TEXCLASS;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{postfix:{"\u00B0":c.ORD,"\u00B4":c.ACCENT,"\u00B8":c.ACCENT}}});MathJax.Ajax.loadComplete(a.optableDir+"/Latin1Supplement.js")})(MathJax.ElementJax.mml);

16
lib/MathJax/jax/element/mml/optable/LetterlikeSymbols.js vendored Normal file
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/*
* /MathJax/jax/element/mml/optable/LetterlikeSymbols.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
(function(a){var c=a.mo.OPTYPES;var b=a.TEXCLASS;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{prefix:{"\u2145":c.ORD21,"\u2146":[2,0,b.ORD]}}});MathJax.Ajax.loadComplete(a.optableDir+"/LetterlikeSymbols.js")})(MathJax.ElementJax.mml);

16
lib/MathJax/jax/element/mml/optable/MathOperators.js vendored Normal file
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/*
* /MathJax/jax/element/mml/optable/MathOperators.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
(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);

16
lib/MathJax/jax/element/mml/optable/MiscMathSymbolsA.js vendored Normal file
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/*
* /MathJax/jax/element/mml/optable/MiscMathSymbolsA.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
(function(a){var c=a.mo.OPTYPES;var b=a.TEXCLASS;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{prefix:{"\u27E6":c.OPEN,"\u27EA":c.OPEN,"\u27EC":c.OPEN},postfix:{"\u27E7":c.CLOSE,"\u27EB":c.CLOSE,"\u27ED":c.CLOSE}}});MathJax.Ajax.loadComplete(a.optableDir+"/MiscMathSymbolsA.js")})(MathJax.ElementJax.mml);

16
lib/MathJax/jax/element/mml/optable/MiscMathSymbolsB.js vendored Normal file
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/*
* /MathJax/jax/element/mml/optable/MiscMathSymbolsB.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
(function(a){var c=a.mo.OPTYPES;var b=a.TEXCLASS;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{prefix:{"\u2980":[0,0,b.ORD,{fence:true,stretchy:true}],"\u2983":c.OPEN,"\u2985":c.OPEN,"\u2987":c.OPEN,"\u2989":c.OPEN,"\u298B":c.OPEN,"\u298D":c.OPEN,"\u298F":c.OPEN,"\u2991":c.OPEN,"\u2993":c.OPEN,"\u2995":c.OPEN,"\u2997":c.OPEN,"\u29FC":c.OPEN},postfix:{"\u2980":[0,0,b.ORD,{fence:true,stretchy:true}],"\u2984":c.CLOSE,"\u2986":c.CLOSE,"\u2988":c.CLOSE,"\u298A":c.CLOSE,"\u298C":c.CLOSE,"\u298E":c.CLOSE,"\u2990":c.CLOSE,"\u2992":c.CLOSE,"\u2994":c.CLOSE,"\u2996":c.CLOSE,"\u2998":c.CLOSE,"\u29FD":c.CLOSE},infix:{"\u2981":c.BIN3,"\u2982":c.BIN3,"\u2999":c.BIN3,"\u299A":c.BIN3,"\u299B":c.BIN3,"\u299C":c.BIN3,"\u299D":c.BIN3,"\u299E":c.BIN3,"\u299F":c.BIN3,"\u29A0":c.BIN3,"\u29A1":c.BIN3,"\u29A2":c.BIN3,"\u29A3":c.BIN3,"\u29A4":c.BIN3,"\u29A5":c.BIN3,"\u29A6":c.BIN3,"\u29A7":c.BIN3,"\u29A8":c.BIN3,"\u29A9":c.BIN3,"\u29AA":c.BIN3,"\u29AB":c.BIN3,"\u29AC":c.BIN3,"\u29AD":c.BIN3,"\u29AE":c.BIN3,"\u29AF":c.BIN3,"\u29B0":c.BIN3,"\u29B1":c.BIN3,"\u29B2":c.BIN3,"\u29B3":c.BIN3,"\u29B4":c.BIN3,"\u29B5":c.BIN3,"\u29B6":c.BIN4,"\u29B7":c.BIN4,"\u29B8":c.BIN4,"\u29B9":c.BIN4,"\u29BA":c.BIN4,"\u29BB":c.BIN4,"\u29BC":c.BIN4,"\u29BD":c.BIN4,"\u29BE":c.BIN4,"\u29BF":c.BIN4,"\u29C0":c.REL,"\u29C1":c.REL,"\u29C2":c.BIN3,"\u29C3":c.BIN3,"\u29C4":c.BIN4,"\u29C5":c.BIN4,"\u29C6":c.BIN4,"\u29C7":c.BIN4,"\u29C8":c.BIN4,"\u29C9":c.BIN3,"\u29CA":c.BIN3,"\u29CB":c.BIN3,"\u29CC":c.BIN3,"\u29CD":c.BIN3,"\u29CE":c.REL,"\u29CF":c.REL,"\u29CF\u0338":c.REL,"\u29D0":c.REL,"\u29D0\u0338":c.REL,"\u29D1":c.REL,"\u29D2":c.REL,"\u29D3":c.REL,"\u29D4":c.REL,"\u29D5":c.REL,"\u29D6":c.BIN4,"\u29D7":c.BIN4,"\u29D8":c.BIN3,"\u29D9":c.BIN3,"\u29DB":c.BIN3,"\u29DC":c.BIN3,"\u29DD":c.BIN3,"\u29DE":c.REL,"\u29DF":c.BIN3,"\u29E0":c.BIN3,"\u29E1":c.REL,"\u29E2":c.BIN4,"\u29E3":c.REL,"\u29E4":c.REL,"\u29E5":c.REL,"\u29E6":c.REL,"\u29E7":c.BIN3,"\u29E8":c.BIN3,"\u29E9":c.BIN3,"\u29EA":c.BIN3,"\u29EB":c.BIN3,"\u29EC":c.BIN3,"\u29ED":c.BIN3,"\u29EE":c.BIN3,"\u29EF":c.BIN3,"\u29F0":c.BIN3,"\u29F1":c.BIN3,"\u29F2":c.BIN3,"\u29F3":c.BIN3,"\u29F4":c.REL,"\u29F5":c.BIN4,"\u29F6":c.BIN4,"\u29F7":c.BIN4,"\u29F8":c.BIN3,"\u29F9":c.BIN3,"\u29FA":c.BIN3,"\u29FB":c.BIN3,"\u29FE":c.BIN4,"\u29FF":c.BIN4}}});MathJax.Ajax.loadComplete(a.optableDir+"/MiscMathSymbolsB.js")})(MathJax.ElementJax.mml);

16
lib/MathJax/jax/element/mml/optable/MiscSymbolsAndArrows.js vendored Normal file
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/*
* /MathJax/jax/element/mml/optable/MiscSymbolsAndArrows.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
(function(a){var c=a.mo.OPTYPES;var b=a.TEXCLASS;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2B45":c.RELSTRETCH,"\u2B46":c.RELSTRETCH}}});MathJax.Ajax.loadComplete(a.optableDir+"/MiscSymbolsAndArrows.js")})(MathJax.ElementJax.mml);

16
lib/MathJax/jax/element/mml/optable/MiscTechnical.js vendored Normal file
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/*
* /MathJax/jax/element/mml/optable/MiscTechnical.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
(function(a){var c=a.mo.OPTYPES;var b=a.TEXCLASS;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{postfix:{"\u23B4":c.WIDEACCENT,"\u23B5":c.WIDEACCENT,"\u23DC":c.WIDEACCENT,"\u23DD":c.WIDEACCENT,"\u23E0":c.WIDEACCENT,"\u23E1":c.WIDEACCENT}}});MathJax.Ajax.loadComplete(a.optableDir+"/MiscTechnical.js")})(MathJax.ElementJax.mml);

16
lib/MathJax/jax/element/mml/optable/SpacingModLetters.js vendored Normal file
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/*
* /MathJax/jax/element/mml/optable/SpacingModLetters.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
(function(a){var c=a.mo.OPTYPES;var b=a.TEXCLASS;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{postfix:{"\u02CD":c.WIDEACCENT,"\u02DA":c.ACCENT,"\u02DD":c.ACCENT,"\u02F7":c.WIDEACCENT}}});MathJax.Ajax.loadComplete(a.optableDir+"/SpacingModLetters.js")})(MathJax.ElementJax.mml);

16
lib/MathJax/jax/element/mml/optable/SuppMathOperators.js vendored Normal file
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/*
* /MathJax/jax/element/mml/optable/SuppMathOperators.js
*
* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
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lib/MathJax/jax/element/mml/optable/SupplementalArrowsA.js vendored Normal file
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* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
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lib/MathJax/jax/element/mml/optable/SupplementalArrowsB.js vendored Normal file
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* /MathJax/jax/element/mml/optable/SupplementalArrowsB.js
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* Copyright (c) 2012 Design Science, Inc.
*
* Part of the MathJax library.
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*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
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