Merge remote branch 'mathjax/v2.0-candidate' into doc-update

This commit is contained in:
Davide P. Cervone 2012-02-13 09:23:00 -05:00
commit 9d1480b1c9
477 changed files with 27776 additions and 2709 deletions

4
.gitignore vendored
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@ -1,2 +1,6 @@
.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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config/AM_HTMLorMML.js Normal file

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@ -12,5 +12,5 @@
* http://www.apache.org/licenses/LICENSE-2.0
*/
(function(c){var h="1.1.1";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"MML",Opera:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(c.Browser.version==="0.0"||c.Browser.versionAtLeast(e[c.Browser]||0));var g=false;if(!c.Browser.isIE9){try{new ActiveXObject("MathPlayer.Factory.1");g=true}catch(f){}}var d=(c.Browser.isFirefox&&c.Browser.versionAtLeast("1.5"))||(c.Browser.isMSIE&&g)||(c.Browser.isOpera&&c.Browser.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var i=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(i==="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.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
(function(c,g){var f="2.0";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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config/TeX-AMS-MML_SVG.js Normal file

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@ -9,7 +9,7 @@
*
* ---------------------------------------------------------------------
*
* Copyright (c) 2009-2011 Design Science, Inc.
* Copyright (c) 2009-2012 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.
@ -62,9 +62,8 @@ MathJax.Hub.Config({
//
// Example:
// styles: {
// ".MathJax .merror": {
// color: "blue",
// "background-color": "green"
// ".MathJax_Preview": {
// color: "#888"
// }
// },
//
@ -183,6 +182,62 @@ MathJax.Hub.Config({
// is processed.
//
elements: [],
//
// Since typesetting usually changes the vertical dimensions of the
// page, if the URL contains an anchor position you may no longer be
// positioned at the correct position on the page, so MathJax can
// reposition to that location after it completes its initial
// typesetting of the page. This value controls whether MathJax will
// reposition the browser to the #hash location from the page URL after
// typesetting for the page.
//
positionToHash: true,
//
// These control whether to attach the MathJax contextual menu to the
// expressions typeset by MathJax. Since the code for handling
// MathPlayer in Internet Explorer is somewhat delicate, it is
// controlled separately via (showMathMenuMSIE). The latter is now
// deprecated in favor of the MathJax contextual menu settings for
// MathPlayer.
//
// These values used to be listed in the separate output jax, but
// have been moved to this more central location since they are shared
// by all output jax.
//
showMathMenu: true,
showMathMenuMSIE: true,
//
// The default settings for the MathJax contextual menu (overridden by
// the MathJax cookie when users change the menu settings).
//
menuSettings: {
zoom: "None", // when to do MathZoom
CTRL: false, // require CTRL for MathZoom?
ALT: false, // require Alt or Option?
CMD: false, // require CMD?
Shift: false, // require Shift?
zscale: "200%", // the scaling factor for MathZoom
font: "Auto", // what font HTML-CSS should use
context: "MathJax", // or "Browser" for pass-through to browser menu
mpContext: false, // true means pass menu events to MathPlayer in IE
mpMouse: false, // true means pass mouse events to MathPlayer in IE
texHints: true // include class names for TeXAtom elements
},
//
// The message and style for when there is a processing error handling
// the mathematics (something has gone wrong with the input or output
// jax that prevents it from operating properly).
//
errorSettings: {
message: ["[Math Processing Error]"], // HTML snippet structure for message to use
style: {color: "#CC0000", "font-style":"italic"} // style for message
},
//============================================================================
//
@ -215,6 +270,19 @@ MathJax.Hub.Config({
['\\[','\\]']
],
//
// This value determines whether tex2jax requires braces to be
// balanced within math delimiters (which allows for nested dollar
// signs). Set to false to get pre-v2.0 compatibility. When true,
//
// $y = x^2 \hbox{ when $x > 2$}$.
//
// will be properly handled as a single expression. When false, it
// would be interpreted as two searpate expressions, each with
// improperly balanced braces.
//
balanceBraces: true,
//
// This array lists the names of the tags whose contents should not be
// processed by tex2jax (other than to look for ignore/process classes
@ -262,6 +330,13 @@ MathJax.Hub.Config({
//
processEnvironments: true,
//
// Controls whether tex2jax processes \ref{...} commands outside
// of math mode. Set to "false" to prevent processing of \ref
// except within math mode.
//
processRefs: true,
//
// Controls whether tex2jax inserts MathJax_Preview spans to make a
// preview available, and what preview to use, when it locates in-line
@ -280,6 +355,71 @@ MathJax.Hub.Config({
},
//============================================================================
//
// These parameters control the asciimath2jax preprocessor (when you have included
// "asciimath2jax.js" in the extensions list above).
//
asciimath2jax: {
//
// The delimiters that surround asciimath expressions. The first in each
// pair is the initial delimiter and the second is the terminal delimiter.
//
delimiters: [
['`','`']
],
//
// This array lists the names of the tags whose contents should not be
// processed by asciimath2jax (other than to look for ignore/process classes
// as listed below). You can add to (or remove from) this list to prevent
// MathJax from processing mathematics in specific contexts.
//
skipTags: ["script","noscript","style","textarea","pre","code"],
//
// This is the class name used to mark elements whose contents should
// not be processed by asciimath2jax (other than to look for the
// processClass pattern below). Note that this is a regular
// expression, and so you need to be sure to quote any regexp special
// characters. The pattern is automatically preceeded by '(^| )(' and
// followed by ')( |$)', so your pattern will have to match full words
// in the class name. Assigning an element this class name will
// prevent `asciimath2jax` from processing its contents.
//
ignoreClass: "asciimath2jax_ignore",
//
// This is the class name used to mark elements whose contents SHOULD
// be processed by asciimath2jax. This is used to turn on processing
// within tags that have been marked as ignored or skipped above.
// Note that this is a regular expression, and so you need to be sure
// to quote any regexp special characters. The pattern is
// automatically preceeded by '(^| )(' and followed by ')( |$)', so
// your pattern will have to match full words in the class name. Use
// this to restart processing within an element that has been marked
// as ignored above.
//
processClass: "asciimath2jax_process",
// Controls whether asciimath2jax inserts MathJax_Preview spans to make a
// preview available, and what preview to use, when it locates in-line
// and display mathetics on the page. The default is "AsciiMath", which
// means use the AsciiMath code as the preview (until it is processed by
// MathJax). Set to "none" to prevent the previews from being
// inserted (the math will simply disappear until it is typeset). Set
// to an array containing the description of an HTML snippet in order
// to use the same preview for all equations on the page (e.g., you
// could have it say "[math]" or load an image).
//
// E.g., preview: ["[math]"],
// or preview: [["img",{src: "http://myserver.com/images/mypic.jpg"}]]
//
preview: "AsciiMath"
},
//============================================================================
//
// These parameters control the mml2jax preprocessor (when you have included
@ -368,10 +508,77 @@ MathJax.Hub.Config({
// bold: ['{\\bf #1}', 1]
// }
//
Macros: {}
Macros: {},
//
// Equation numbering parameters.
//
equationNumbers: {
autoNumber: "none", // "AMS" for standard AMS environment numbering,
// or "all" to number all displayed equations
// formatNumber: function (n) {return n}, // format for equation number n
// formatTag: function (n) {return '('+n+')'}, // format for \tag and \eqref
// formatID: function (n) {return 'mjx-eqn-'+String(n).replace(/[:'"<>&]/g,"")},
// // element ID to use for reference
// formatURL: function (id) {return '#'+escape(id)}, // URL to use for references
useLabelIds: true // make element ID's use \label name rather than equation number
},
//
// Controls the TeX/noErrors extension
//
noErrors: {
disabled: false, // set to true to return to original error messages
multiLine: true, // false to not include original line breaks
inlineDelimiters: ["",""], // or use ["$","$"] or ["\\(","\\)"] to put back delimiters
style: {
"font-size": "90%",
"text-align": "left",
"color": "black",
"padding": "1px 3px",
"border": "1px solid"
}
},
//
// Controls the TeX/noUndefined extension
//
noUndefined: {
disabled: false, // set to true to return to original error messages
attributes: { // attributes to set for the undefined control sequence
mathcolor: "red"
}
},
//
// Controls the TeX/unicode extension
unicode: {
fonts: "STIXGeneral,'Arial Unicode MS'" // the default font list for unknown characters
}
},
//============================================================================
//
// These parameters control the AsciiMath inupt jax.
//
AasciiMath: {
//
// Determines whether limits are placed above and below operators,
// or next to them. (AsciiMath doesn't have separate in-line and
// display modes like TeX and MathML do, so this is the only control
// you have over its output)
//
displaystyle: true,
//
// The character to use for decimal places when scanning for a number.
// If you change it to ,, beware of things like "(1,2)" which would need
// to be changed to "(1, 2)" to be parsed correctly.
//
decimal: "."
},
//============================================================================
//
// These parameters control the MathML inupt jax.
@ -396,6 +603,12 @@ MathJax.Hub.Config({
//
scale: 100,
//
// Don't allow the matching of math text to surrounding text to use a scaling
// factor smaller than this.
//
minScaleAdjust: 50,
//
// This is a list of the fonts to look for on a user's computer in
// preference to using MathJax's web-based fonts. These must
@ -452,19 +665,71 @@ MathJax.Hub.Config({
// if it doesn't contain the needed character), so order these carefully.
//
undefinedFamily: "STIXGeneral,'Arial Unicode MS',serif",
//
// This controls whether the MathJax contextual menu will be available
// on the mathematics in the page. If true, then right-clicking (on
// the PC) or control-clicking (on the Mac) will produce a MathJax
// menu that allows you to get the source of the mathematics in
// various formats, change the size of the mathematics relative to the
// surrounding text, and get information about MathJax.
// This setting controls whether <mtext> elements will be typeset
// using the math fonts or the font of the surrounding text. When
// false, the mathvariant="normal" font will be used; when true,
// the font will be inherited from the surrounding paragraph.
//
// Set this to false to disable the menu. When true, the MathMenu
// items below configure the actions of the menu.
mtextFontInherit: false,
//
// These values control how "chunky" the display of mathematical
// expressions will be.
//
showMathMenu: true,
// EqnChunk is the number of equations that will be typeset before
// they appear on screen. Larger values make for less visual flicker
// as the equations are drawn, but also mean longer delays before the
// reader sees anything.
//
// EqChunkFactor is the factor by which the EqnChunk will grow after each
// chunk is displayed.
//
// EqChunkDelay is the time (in milliseconds) to delay between chunks
// (to allow the browser to respond to other user interaction).
//
// Set EqnChunk to 1, EqnChunkFactor to 1, and EwnChunkDelay to 10 to get
// the behavior from MathJax v1.1 and below.
//
EqnChunk: 50,
EqnChunkFactor: 1.5,
EqnChunkDelay: 100,
//
// These settings control automatic line breaking. It is off by
// default, so only explicit line breaks are performed (via
// linebreak="newline" attributes on <mo> and <mspace> elements). To
// perform automatic line breaking on line expressions, set
// 'automatic' to 'true' below. The line breaks will be applied via a
// penalty-based heuristic, which does well, but isn't perfect. You
// might need to use linebreak="goodbreak" or linebreak="badbreak" by
// hand in order to get better effects. It is also possible to modify
// the penalty values; contact the MathJax user's forum for details.
//
linebreaks: {
//
// This controls the automatic breaking of expressions:
// when false, only process linebreak="newline",
// when true, line breaks are inserted automatically in long expressions.
//
automatic: false,
//
// This controls how wide the lines of mathematics can be
//
// Use an explicit width like "30em" for a fixed width.
// Use "container" to compute the size from the containing element.
// Use "nn% container" for a portion of the container.
// Use "nn%" for a portion of the window size.
//
// The container-based widths may be slower, and may not produce the
// expected results if the layout width changes due to the removal
// of previews or inclusion of mathematics during typesetting.
//
width: "container"
},
//
// This allows you to define or modify the styles used to display
@ -472,9 +737,9 @@ MathJax.Hub.Config({
//
// Example:
// styles: {
// ".MathJax_Preview": {
// "font-size": "80%", // preview uses a smaller font
// color: "red" // and is in red
// ".MathJax .merror": {
// color: "#CC0000",
// border: "1px solid #CC0000"
// }
// }
//
@ -505,23 +770,11 @@ MathJax.Hub.Config({
scale: 100,
//
// This controls whether the MathJax contextual menu will be available
// on the mathematics in the page. If true, then right-clicking (on
// the PC) or control-clicking (on the Mac) will produce a MathJax
// menu that allows you to get the source of the mathematics in
// various formats, change the size of the mathematics relative to the
// surrounding text, and get information about MathJax.
//
// Set this to false to disable the menu. When true, the MathMenu
// items below configure the actions of the menu.
//
// There is a separate setting for MSIE, since the code to handle that
// is a bit delicate; if it turns out to have unexpected consequences,
// you can turn it off without turing off other browser support.
//
showMathMenu: true,
showMathMenuMSIE: true,
// Don't allow the matching of math text to surrounding text to use a scaling
// factor smaller than this.
//
minScaleAdjust: 50,
//
// This allows you to define or modify the styles used to display
// various math elements created by MathJax.
@ -536,6 +789,146 @@ MathJax.Hub.Config({
styles: {}
},
//============================================================================
//
// These parameters control the SVG output jax.
//
"SVG": {
//
// This controls the global scaling of mathematics as compared to the
// surrounding text. Values between 100 and 133 are usually good choices.
//
scale: 100,
//
// Don't allow the matching of math text to surrounding text to use a scaling
// factor smaller than this.
//
minScaleAdjust: 50,
//
// This specifies the font to use for SVG output (currently the only
// one available)
//
font: "TeX",
//
// This is the stroke width to use for all character paths (1em = 1000
// units). This is a cheap way of getting slightly lighter or darker
// characters
//
blacker: 10,
//
// This is the font-family CSS value used for characters that are not
// in the selected font. IE will stop looking after the first font
// that exists on the system (even if it doesn't contain the needed
// character), so order these carefully.
//
MISSINGFONT: "STIXGeneral,'Arial Unicode MS',serif",
//
// This setting controls whether <mtext> elements will be typeset
// using the math fonts or the font of the surrounding text. When
// false, the mathvariant="normal" font will be used; when true,
// the font will be inherited from the surrounding paragraph.
//
mtextFontInherit: false,
//
// This controls whether the MathML structure is retained and CSS
// classes are used to mark the original MathML elements (as in the
// HTML-CSS output). By default, the SVG output jax removes unneeded
// nesting in order to produce a more efficient markup, but if you
// want to use CSS to style the elements as if they were MathML, you
// might need to set this to true.
//
addMMLclasses: false,
//
// These values control how "chunky" the display of mathematical
// expressions will be.
//
// EqnChunk is the number of equations that will be typeset before
// they appear on screen. Larger values make for less visual flicker
// as the equations are drawn, but also mean longer delays before the
// reader sees anything.
//
// EqChunkFactor is the factor by which the EqnChunk will grow after each
// chunk is displayed.
//
// EqChunkDelay is the time (in milliseconds) to delay between chunks
// (to allow the browser to respond to other user interaction).
//
// Set EqnChunk to 1, EqnChunkFactor to 1, and EwnChunkDelay to 10 to get
// the behavior from MathJax v1.1 and below.
//
EqnChunk: 50,
EqnChunkFactor: 1.5,
EqnChunkDelay: 100,
//
// These settings control automatic line breaking. It is off by
// default, so only explicit line breaks are performed (via
// linebreak="newline" attributes on <mo> and <mspace> elements). To
// perform automatic line breaking on line expressions, set
// 'automatic' to 'true' below. The line breaks will be applied via a
// penalty-based heuristic, which does well, but isn't perfect. You
// might need to use linebreak="goodbreak" or linebreak="badbreak" by
// hand in order to get better effects. It is also possible to modify
// the penalty values; contact the MathJax user's forum for details.
//
linebreaks: {
//
// This controls the automatic breaking of expressions:
// when false, only process linebreak="newline",
// when true, line breaks are inserted automatically in long expressions.
//
automatic: false,
//
// This controls how wide the lines of mathematics can be
//
// Use an explicit width like "30em" for a fixed width.
// Use "container" to compute the size from the containing element.
// Use "nn% container" for a portion of the container.
// Use "nn%" for a portion of the window size.
//
// The container-based widths may be slower, and may not produce the
// expected results if the layout width changes due to the removal
// of previews or inclusion of mathematics during typesetting.
//
width: "container"
},
//
// This allows you to define or modify the styles used to display
// various math elements created by MathJax.
//
// Example:
// styles: {
// ".MathJax .merror": {
// color: "#CC0000",
// border: "1px solid #CC0000"
// }
// }
//
styles: {},
//
// Configuration for <maction> tooltips
// (see also the #MathJax_Tooltip CSS in MathJax/jax/output/SVG/config.js,
// which can be overriden using the styles values above).
//
tooltip: {
delayPost: 600, // milliseconds delay before tooltip is posted after mouseover
delayClear: 600, // milliseconds delay before tooltip is cleared after mouseout
offsetX: 10, offsetY: 5 // pixels to offset tooltip from mouse position
}
},
//============================================================================
//
// These parameters control the contextual menus that are available on the
@ -556,12 +949,15 @@ MathJax.Hub.Config({
helpURL: "http://www.mathjax.org/help/user/",
//
// These control whether the "Math Renderer", "Font Preferences",
// and "Contextual Menu" submenus will be displayed or not.
// These control whether the "Math Renderer", "MathPlayer", "Font
// Preferences", "Contextual Menu", and "Discoverable" menu items will
// be displayed or not.
//
showRenderer: true,
showMathPlayer: true,
showFontMenu: false,
showContext: false,
showDiscoverable: false,
//
// These are the settings for the Show Source window. The initial
@ -596,8 +992,10 @@ MathJax.Hub.Config({
//
prefer: {
MSIE: "MML",
Firefox: "MML",
Firefox: "HTML",
Opera: "HTML",
Safari: "HTML",
Chrome: "HTML",
other: "HTML"
}
}

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@ -12,5 +12,5 @@
* http://www.apache.org/licenses/LICENSE-2.0
*/
(function(d,g){var f="1.1";var b=d.CombineConfig("FontWarnings",{messageStyle:{position:"fixed",bottom:"4em",left:"3em",width:"40em",border:"3px solid #880000","background-color":"#E0E0E0",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/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/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");
(function(d,g){var f="2.0";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/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/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) 2010 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:"2.0"};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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* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b="1.1";var c=MathJax.InputJax.TeX;var a=c.Definitions;a.macros.href="HREF_attribute";a.macros["class"]="CLASS_attribute";a.macros.style="STYLE_attribute";a.macros.cssId="ID_attribute";c.Parse.Augment({HREF_attribute:function(f){var e=this.GetArgument(f),d=this.GetArgumentMML(f);this.Push(d.With({href:e}))},CLASS_attribute:function(e){var f=this.GetArgument(e),d=this.GetArgumentMML(e);if(d["class"]!=null){f=d["class"]+" "+f}this.Push(d.With({"class":f}))},STYLE_attribute:function(e){var f=this.GetArgument(e),d=this.GetArgumentMML(e);if(d.style!=null){if(f.charAt(f.length-1)!==";"){f+=";"}f=d.style+" "+f}this.Push(d.With({style:f}))},ID_attribute:function(f){var e=this.GetArgument(f),d=this.GetArgumentMML(f);this.Push(d.With({id:e}))},GetArgumentMML:function(e){var d=this.ParseArg(e);if(d.inferred&&d.data.length==1){d=d.data[0]}else{delete d.inferred}return d}});MathJax.Hub.Startup.signal.Post("TeX HTML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/HTML.js");
MathJax.Extension["TeX/HTML"]={version:"2.0"};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"}});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) 2010 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:"2.0"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml;b.Definitions.macros.toggle="Toggle";b.Definitions.macros.mathtip="Mathtip";b.Definitions.macros.texttip=["Macro","\\mathtip{#1}{\\text{#2}}",2];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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@ -12,5 +12,5 @@
* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b="1.1";var c=MathJax.InputJax.TeX;var a=c.prefilterMath;c.prefilterMath=function(g,h,e){var f=e.parentNode.insertBefore(document.createElement("span"),e);f.visibility="hidden";f.style.fontFamily="Times, serif";f.appendChild(document.createTextNode("ABCXYZabcxyz"));var d=f.offsetWidth;f.style.fontWeight="bold";if(f.offsetWidth==d){g="\\bf {"+g+"}"}f.parentNode.removeChild(f);return a.call(c,g,h,e)};MathJax.Hub.Startup.signal.Post("TeX autobold Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/autobold.js");
MathJax.Extension["TeX/autobold"]={version:"2.0"};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(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/bbox.js
*
* Copyright (c) 2010 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:"2.0"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml;b.Definitions.macros.bbox="BBox";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) 2010 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:"2.0"};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.environments))}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.macros.begingroup="BeginGroup";b.macros.endgroup="EndGroup";b.macros.global=["Extension","newcommand"];b.macros.gdef=["Extension","newcommand"];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.macros.global="Global";b.macros.gdef=["Macro","\\global\\def"];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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* http://www.apache.org/licenses/LICENSE-2.0
*/
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MathJax.Extension["TeX/boldsymbol"]={version:"2.0"};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.macros.boldsymbol="Boldsymbol";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) 2010 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:"2.0",ALLOWED:{arrow:1,color:1,mathcolor:1,background:1,mathbackground:1,padding:1,thickness:1}};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var d=MathJax.InputJax.TeX,c=d.Definitions.macros,a=MathJax.ElementJax.mml,b=MathJax.Extension["TeX/cancel"];b.setAttributes=function(j,f){if(f!==""){f=f.replace(/ /g,"").split(/,/);for(var h=0,e=f.length;h<e;h++){var g=f[h].split(/[:=]/);if(b.ALLOWED[g[0]]){if(g[1]==="true"){g[1]=true}if(g[1]==="false"){g[1]=false}j[g[0]]=g[1]}}}return j};c.cancel=["Cancel",a.NOTATION.UPDIAGONALSTRIKE];c.bcancel=["Cancel",a.NOTATION.DOWNDIAGONALSTRIKE];c.xcancel=["Cancel",a.NOTATION.UPDIAGONALSTRIKE+" "+a.NOTATION.DOWNDIAGONALSTRIKE];c.cancelto="CancelTo";d.Parse.Augment({Cancel:function(f,h){var e=this.GetBrackets(f,""),g=this.ParseArg(f);var i=b.setAttributes({notation:h},e);this.Push(a.menclose(g).With(i))},CancelTo:function(f,h){var j=this.ParseArg(f),e=this.GetBrackets(f,""),g=this.ParseArg(f);var i=b.setAttributes({notation:a.NOTATION.UPDIAGONALSTRIKE,arrow:true},e);j=a.mpadded(j).With({depth:"-.1em",height:"+.1em",voffset:".1em"});this.Push(a.msup(a.menclose(g).With(i),j))}});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) 2010 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:"2.0",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+)$/)){this.TEX.Error("Invalid decimal number")}var d=parseFloat(b[c]);if(d<0||d>1){this.TEX.Error("RGB values must be between 0 and 1")}d=Math.floor(d*255).toString(16);if(d.length<2){d="0"+d}a+=d}return a},get_gray:function(a){if(!a.match(/^(\d+(\.\d*)?|\.\d+)$/)){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.macros.definecolor="DefineColor";d.Definitions.macros.colorbox="ColorBox";d.Definitions.macros.fcolorbox="fColorBox";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)},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) 2010 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:"2.0",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.macros.enclose="Enclose";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]]){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) 2010 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:"2.0"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX,a=b.Definitions;MathJax.Hub.Insert(a,{macros:{xtwoheadrightarrow:["Extension","AMSmath"],xtwoheadleftarrow:["Extension","AMSmath"],xmapsto:["Extension","AMSmath"],xlongequal:["Extension","AMSmath"],xtofrom:["Extension","AMSmath"],Newextarrow:["Extension","AMSmath"]}});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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* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c="1.1";var a=MathJax.ElementJax.mml;var d=MathJax.InputJax.TeX;var b=d.Definitions;b.macros.mathchoice="MathChoice";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;return e}});MathJax.Hub.Startup.signal.Post("TeX mathchoice Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/mathchoice.js");
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* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b="1.1";var c=MathJax.InputJax.TeX;var a=c.Definitions;MathJax.Hub.Insert(a,{macros:{newcommand:"NewCommand",renewcommand:"NewCommand",newenvironment:"NewEnvironment",def:"MacroDef"}});c.Parse.Augment({NewCommand:function(d){var e=this.trimSpaces(this.GetArgument(d)),g=this.trimSpaces(this.GetBrackets(d)),f=this.GetArgument(d);if(g===""){g=null}if(e.charAt(0)==="\\"){e=e.substr(1)}if(!e.match(/^(.|[a-z]+)$/i)){c.Error("Illegal control sequence name for "+d)}if(g!=null&&!g.match(/^[0-9]+$/)){c.Error("Illegal number of parameters specified in "+d)}a.macros[e]=["Macro",f,g]},NewEnvironment:function(e){var f=this.trimSpaces(this.GetArgument(e)),h=this.trimSpaces(this.GetBrackets(e)),g=this.GetArgument(e),d=this.GetArgument(e);if(h===""){h=null}if(h!=null&&!h.match(/^[0-9]+$/)){c.Error("Illegal number of parameters specified in "+e)}a.environment[f]=["BeginEnv","EndEnv",g,d,h]},MacroDef:function(d){var e=this.GetCSname(d),g=this.GetTemplate(d,"\\"+e),f=this.GetArgument(d);if(!(g instanceof Array)){a.macros[e]=["Macro",f,g]}else{a.macros[e]=["MacroWithTemplate",f,g[0],g[1]]}},GetCSname:function(e){var f=this.GetNext();if(f!=="\\"){c.Error("\\ must be followed by a control sequence")}var d=this.trimSpaces(this.GetArgument(e));return d.substr(1)},GetTemplate:function(f,e){var j,g=[],h=0;j=this.GetNext();var d=this.i;while(this.i<this.string.length){j=this.GetNext();if(j==="#"){if(d!==this.i){g[h]=this.string.substr(d,this.i-d)}j=this.string.charAt(++this.i);if(!j.match(/^[1-9]$/)){c.Error("Illegal use of # in template for "+e)}if(parseInt(j)!=++h){c.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++}c.Error("Missing replacement string for definition of "+f)},MacroWithTemplate:function(e,h,j,g){if(j){var d=[];this.GetNext();if(g[0]&&!this.MatchParam(g[0])){c.Error("Use of "+e+" doesn't match its definition")}for(var f=0;f<j;f++){d.push(this.GetParameter(e,g[f+1]))}h=this.SubstituteArgs(d,h)}this.string=this.AddArgs(h,this.string.slice(this.i));this.i=0;if(++this.macroCount>c.config.MAXMACROS){c.Error("MathJax maximum macro substitution count exceeded; is there a recursive macro call?")}},BeginEnv:function(g,j,d,h){if(h){var e=[];for(var f=0;f<h;f++){e.push(this.GetArgument("\\begin{"+name+"}"))}j=this.SubstituteArgs(e,j);d=this.SubstituteArgs(e,d)}g.edef=d;this.string=this.AddArgs(j,this.string.slice(this.i));this.i=0;return g},EndEnv:function(d,e){this.string=this.AddArgs(d.edef,this.string.slice(this.i));this.i=0;return e},GetParameter:function(e,h){if(h==null){return this.GetArgument(e)}var g=this.i,d=0,f=0;while(this.i<this.string.length){if(this.string.charAt(this.i)==="{"){if(this.i===g){f=1}this.GetArgument(e);d=this.i-g}else{if(this.MatchParam(h)){if(f){g++;d-=2}return this.string.substr(g,d)}else{this.i++;d++;f=0}}}c.Error("Runaway argument for "+e+"?")},MatchParam:function(d){if(this.string.substr(this.i,d.length)!==d){return 0}this.i+=d.length;return 1}});c.Environment=function(d){a.environment[d]=["BeginEnv","EndEnv"].concat([].slice.call(arguments,1))};MathJax.Hub.Startup.signal.Post("TeX newcommand Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/newcommand.js");
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@ -12,5 +12,5 @@
* http://www.apache.org/licenses/LICENSE-2.0
*/
(function(){var c="1.1";var a=MathJax.Hub.CombineConfig("TeX.noErrors",{multiLine:true,inlineDelimiters:["",""],style:{"font-family":"serif","font-size":"80%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var b="\u00A0";MathJax.Extension["TeX/noErrors"]={version:c,config:a};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){MathJax.InputJax.TeX.Augment({formatError:function(f,e,g,d){var i=a.inlineDelimiters;var h=(g||a.multiLine);if(!g){e=i[0]+e+i[1]}if(h){e=e.replace(/ /g,b)}else{e=e.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(e).With({isError:true,multiLine:h})}})});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Config",function(){MathJax.Hub.Config({"HTML-CSS":{styles:{".MathJax .merror":MathJax.Hub.Insert({"font-style":null,"background-color":null,"vertical-align":(MathJax.Hub.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})})})();MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.ElementJax.mml;var b=MathJax.OutputJax["HTML-CSS"];var c=a.math.prototype.toHTML;a.math.Augment({toHTML:function(d,e){if(this.data[0]&&this.data[0].data[0]&&this.data[0].data[0].isError){return this.data[0].data[0].toHTML(d)}return c.call(this,d,e)}});a.merror.Augment({toHTML:function(j){if(!this.isError){return a.mbase.prototype.toHTML.call(this,j)}j=this.HTMLcreateSpan(j);if(this.multiLine){j.style.display="inline-block"}var l=this.data[0].data[0].data.join("").split(/\n/);for(var g=0,e=l.length;g<e;g++){b.addText(j,l[g]);if(g!==e-1){b.addElement(j,"br")}}var n=b.getHD(j.parentNode),d=b.getW(j.parentNode);if(e>1){var k=(n.h+n.d)/2,h=b.TeX.x_height/2;var f=b.config.styles[".MathJax .merror"]["font-size"];if(f&&f.match(/%/)){h*=parseInt(f)/100}j.parentNode.style.verticalAlign=b.Em(n.d+(h-k));n.h=h+k;n.d=k-h}j.bbox={h:n.h,d:n.d,w:d,lw:0,rw:d};return j}});MathJax.Hub.Startup.signal.Post("TeX noErrors Ready")});MathJax.Hub.Register.StartupHook("NativeMML Jax Ready",function(){var b=MathJax.ElementJax.mml;var a=MathJax.Extension["TeX/noErrors"].config;var c=b.math.prototype.toNativeMML;b.math.Augment({toNativeMML:function(d){if(this.data[0]&&this.data[0].data[0]&&this.data[0].data[0].isError){return this.data[0].data[0].toNativeMML(d)}return c.call(this,d)}});b.merror.Augment({toNativeMML:function(g){if(!this.isError){return b.mbase.prototype.toNativeMML.call(this,g)}g=g.appendChild(document.createElement("span"));var h=this.data[0].data[0].data.join("").split(/\n/);for(var f=0,e=h.length;f<e;f++){g.appendChild(document.createTextNode(h[f]));if(f!==e-1){g.appendChild(document.createElement("br"))}}if(this.multiLine){g.style.display="inline-block";if(e>1){g.style.verticalAlign="middle"}}for(var j in a.style){if(a.style.hasOwnProperty(j)){var d=j.replace(/-./g,function(i){return i.charAt(1).toUpperCase()});g.style[d]=a.style[j]}}return g}});MathJax.Hub.Startup.signal.Post("TeX noErrors Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
(function(b,e){var d="2.0";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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@ -12,5 +12,5 @@
* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.Extension["TeX/noUndefined"]={version:"1.1",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(c){this.Push(a.mtext(c).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
MathJax.Extension["TeX/noUndefined"]={version:"2.0",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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@ -12,5 +12,5 @@
* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.Extension["TeX/unicode"]={version:"1.1",unicode:{},config:MathJax.Hub.CombineConfig("TeX.unicode",{fonts:"STIXGeneral,'Arial Unicode MS'"})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var d=MathJax.InputJax.TeX;var a=MathJax.ElementJax.mml;var c=MathJax.Extension["TeX/unicode"].config.fonts;var b=MathJax.Extension["TeX/unicode"].unicode;d.Definitions.macros.unicode="Unicode";d.Parse.Augment({Unicode:function(f){var j=this.GetBrackets(f),e;if(j){j=j.replace(/ /g,"");if(j.match(/^(\d+(\.\d*)?|\.\d+),(\d+(\.\d*)?|\.\d+)$/)){j=j.split(/,/);e=this.GetBrackets(f)}else{e=j;j=null}}var k=this.trimSpaces(this.GetArgument(f)),i=parseInt(k.match(/^x/)?"0"+k:k);b[i]=[800,200,500,0,500,{isUnknown:true,isUnicode:true,font:c}];if(j){b[i][0]=Math.floor(j[0]*1000);b[i][1]=Math.floor(j[1]*1000)}var g=this.stack.env.font,h={};if(e){h.fontfamily=e;if(g){if(g.match(/bold/)){h.fontweight="bold"}if(g.match(/italic/)){h.fontstyle="italic"}}b[i][5].font=e+","+c}else{if(g){h.mathvariant=g}}this.Push(a.mtext(a.entity("#"+k)).With(h))}})});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.OutputJax["HTML-CSS"];var c=MathJax.Extension["TeX/unicode"].unicode;var b=a.lookupChar;a.Augment({lookupChar:function(e,f){var d=b.call(this,e,f);if(d[f][5]&&d[f][5].isUnknown&&c[f]){d[f]=c[f]}return d}});MathJax.Hub.Startup.signal.Post("TeX unicode Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/unicode.js");
MathJax.Extension["TeX/unicode"]={version:"2.0",unicode:{},config:MathJax.Hub.CombineConfig("TeX.unicode",{fonts:"STIXGeneral,'Arial Unicode MS'"})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c=MathJax.InputJax.TeX;var a=MathJax.ElementJax.mml;var b=MathJax.Extension["TeX/unicode"].unicode;c.Definitions.macros.unicode="Unicode";c.Parse.Augment({Unicode:function(e){var i=this.GetBrackets(e),d;if(i){if(i.replace(/ /g,"").match(/^(\d+(\.\d*)?|\.\d+),(\d+(\.\d*)?|\.\d+)$/)){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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@ -12,5 +12,5 @@
* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c="1.1";var a=MathJax.ElementJax.mml;var d=MathJax.InputJax.TeX;var b=d.Definitions;b.macros.verb="Verb";d.Parse.Augment({Verb:function(e){var h=this.GetNext();var g=++this.i;if(h==""){d.Error(e+" requires an argument")}while(this.i<this.string.length&&this.string.charAt(this.i)!=h){this.i++}if(this.i==this.string.length){d.Error("Can't find closing delimiter for "+e)}var f=this.string.slice(g,this.i);this.i++;this.Push(a.mtext(f).With({mathvariant:a.VARIANT.MONOSPACE}))}});MathJax.Hub.Startup.signal.Post("TeX verb Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/verb.js");
MathJax.Extension["TeX/verb"]={version:"2.0"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX;var b=c.Definitions;b.macros.verb="Verb";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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/*
* /MathJax/extensions/asciimath2jax.js
*
* Copyright (c) 2010 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:"2.0",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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@ -12,5 +12,5 @@
* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.Extension.jsMath2jax={version:"1.1.1",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.filterTeX(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},filterTeX:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.jsMath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/jsMath2jax.js");
MathJax.Extension.jsMath2jax={version:"2.0",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]);MathJax.Ajax.loadComplete("[MathJax]/extensions/jsMath2jax.js");

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* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.Extension.mml2jax={version:"1.1.2",config:{preview:"alttext"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}this.ProcessMathArray(e.getElementsByTagName("math"));if(e.getElementsByTagNameNS){this.ProcessMathArray(e.getElementsByTagNameNS(this.MMLnamespace,"math"))}var d=document.getElementsByTagName("html")[0];if(d){for(var c=0,b=d.attributes.length;c<b;c++){var a=d.attributes[c];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.ProcessMathArray(e.getElementsByTagName(a.nodeName.substr(6)+":math"))}}}},ProcessMathArray:function(b){var a;if(b.length){if(this.MathTagBug){for(a=b.length-1;a>=0;a--){if(b[a].nodeName==="MATH"){this.ProcessMathFlattened(b[a])}else{this.ProcessMath(b[a])}}}else{for(a=b.length-1;a>=0;a--){this.ProcessMath(b[a])}}}},ProcessMath:function(e){var d=e.parentNode;var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/"/g,"&quot;")},createPreview:function(b,a){var c;if(this.config.preview==="alttext"){var d=b.getAttribute("alttext");if(d!=null){c=[this.filterText(d)]}}else{if(this.config.preview instanceof Array){c=this.config.preview}}if(c){c=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},c);a.parentNode.insertBefore(c,a)}},filterText:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
MathJax.Extension.mml2jax={version:"2.0",config:{preview:"alttext"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}this.ProcessMathArray(e.getElementsByTagName("math"));if(e.getElementsByTagNameNS){this.ProcessMathArray(e.getElementsByTagNameNS(this.MMLnamespace,"math"))}var d,b;if(document.namespaces){for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.ProcessMathArray(e.getElementsByTagName(f.name+":math"))}}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.ProcessMathArray(e.getElementsByTagName(a.nodeName.substr(6)+":math"))}}}}},ProcessMathArray:function(b){var a;if(b.length){if(this.MathTagBug){for(a=b.length-1;a>=0;a--){if(b[a].nodeName==="MATH"){this.ProcessMathFlattened(b[a])}else{this.ProcessMath(b[a])}}}else{for(a=b.length-1;a>=0;a--){this.ProcessMath(b[a])}}}},ProcessMath:function(e){var d=e.parentNode;var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/"/g,"&quot;")},createPreview:function(b,a){var c;if(this.config.preview==="alttext"){var d=b.getAttribute("alttext");if(d!=null){c=[this.filterPreview(d)]}}else{if(this.config.preview instanceof Array){c=this.config.preview}}if(c){c=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},c);a.parentNode.insertBefore(c,a)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");

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* http://www.apache.org/licenses/LICENSE-2.0
*/
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/*
* /MathJax/jax/input/AsciiMath/config.js
*
* Copyright (c) 2010 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.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.0",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{displaystyle:true,decimal:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");

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* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"1.1.4",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.0",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");

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* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"1.1.1",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%"}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.0",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/[:"'<>&]/g,"")},formatURL:function(a){return"#"+escape(a)},useLabelIds:true}}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");

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* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="1.1";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a["annotation-xml"].Augment({toHTML:function(f){f=this.HTMLhandleSize(this.HTMLcreateSpan(f));var g=this.Get("encoding");for(var e=0,d=this.data.length;e<d;e++){this.data[e].toHTML(f,g)}this.HTMLhandleSpace(f);this.HTMLhandleColor(f);return f},HTMLgetScale:function(){return this.SUPER(arguments).HTMLgetScale.call(this)*(100/b.scale)}});a.xml.Augment({toHTML:function(f,g){for(var e=0,d=this.data.length;e<d;e++){f.appendChild(this.data[e].cloneNode(true))}f.bbox.w=b.getW(f);f.bbox.rw=f.bbox.w;var h=b.getHD(f);f.bbox.h=h.h;f.bbox.d=h.d}});MathJax.Hub.Startup.signal.Post("HTML-CSS annotation-xml Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/annotation-xml.js")});
MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.0";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a["annotation-xml"].Augment({toHTML:function(f){f=this.HTMLhandleSize(this.HTMLcreateSpan(f));var g=this.Get("encoding");for(var e=0,d=this.data.length;e<d;e++){this.data[e].toHTML(f,g)}this.HTMLhandleSpace(f);this.HTMLhandleColor(f);return f},HTMLgetScale:function(){return this.SUPER(arguments).HTMLgetScale.call(this)/b.scale}});a.xml.Augment({toHTML:function(f,g){for(var e=0,d=this.data.length;e<d;e++){f.appendChild(this.data[e].cloneNode(true))}f.bbox.w=b.getW(f);f.bbox.rw=f.bbox.w;var h=b.getHD(f);f.bbox.h=h.h;f.bbox.d=h.d}});MathJax.Hub.Startup.signal.Post("HTML-CSS annotation-xml Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/annotation-xml.js")});

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@ -12,5 +12,5 @@
* http://www.apache.org/licenses/LICENSE-2.0
*/
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* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="1.1";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mglyph.Augment({toHTML:function(i,h){var k=i,f=this.getValues("src","width","height","valign","alt"),j;i=this.HTMLcreateSpan(i);if(f.src===""){var g=this.Get("index");if(g){h=this.HTMLgetVariant();var e=h.defaultFont;if(e){e.noStyleChar=true;e.testString=String.fromCharCode(g)+"ABCabc";if(b.Font.testFont(e)){this.HTMLhandleVariant(i,h,String.fromCharCode(g))}else{if(f.alt===""){f.alt="Bad font: "+e.family}j=a.merror(f.alt).With({mathsize:"75%"});this.Append(j);j.toHTML(i);this.data.pop();i.bbox=j.HTMLspanElement().bbox}}}}else{if(!this.img){this.img=a.mglyph.GLYPH[f.src]}if(!this.img){this.img=a.mglyph.GLYPH[f.src]={img:new Image(),status:"pending"};var d=this.img.img;d.onload=MathJax.Callback(["HTMLimgLoaded",this]);d.onerror=MathJax.Callback(["HTMLimgError",this]);d.src=f.src;MathJax.Hub.RestartAfter(d.onload)}if(this.img.status!=="OK"){j=a.merror("Bad mglyph: "+f.src).With({mathsize:"75%"});this.Append(j);j.toHTML(i);this.data.pop();i.bbox=j.HTMLspanElement().bbox}else{d=b.addElement(i,"img",{src:f.src,alt:f.alt,title:f.alt});if(f.width){if(String(f.width).match(/^\s*-?\d+\s*$/)){f.width+="px"}d.style.width=b.Em(b.length2em(f.width,this.img.img.width/b.em))}if(f.height){if(String(f.height).match(/^\s*-?\d+\s*$/)){f.height+="px"}d.style.height=b.Em(b.length2em(f.height,this.img.img.height/b.em))}i.bbox.w=i.bbox.rw=d.offsetWidth/b.em;i.bbox.h=d.offsetHeight/b.em;if(f.valign){if(String(f.valign).match(/^\s*-?\d+\s*$/)){f.valign+="px"}i.bbox.d=-b.length2em(f.valign,this.img.img.height/b.em);d.style.verticalAlign=b.Em(-i.bbox.d);i.bbox.h-=i.bbox.d}}}if(!k.bbox){k.bbox={w:i.bbox.w,h:i.bbox.h,d:i.bbox.d,rw:i.bbox.rw,lw:i.bbox.lw}}else{if(i.bbox){k.bbox.w+=i.bbox.w;if(k.bbox.w>k.bbox.rw){k.bbox.rw=k.bbox.w}if(i.bbox.h>k.bbox.h){k.bbox.h=i.bbox.h}if(i.bbox.d>k.bbox.d){k.bbox.d=i.bbox.d}}}this.HTMLhandleSpace(i);this.HTMLhandleColor(i);return i},HTMLimgLoaded:function(e,d){if(typeof(e)==="string"){d=e}this.img.status=(d||"OK")},HTMLimgError:function(){this.img.img.onload("error")}},{GLYPH:{}});MathJax.Hub.Startup.signal.Post("HTML-CSS mglyph Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mglyph.js")});
MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.0";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mglyph.Augment({toHTML:function(j,f){var i=j,k=this.getValues("src","width","height","valign","alt"),e;j=this.HTMLcreateSpan(j);if(k.src===""){var h=this.Get("index");if(h){f=this.HTMLgetVariant();var d=f.defaultFont;if(d){d.noStyleChar=true;d.testString=String.fromCharCode(h)+"ABCabc";if(b.Font.testFont(d)){this.HTMLhandleVariant(j,f,String.fromCharCode(h))}else{if(k.alt===""){k.alt="Bad font: "+d.family}e=a.merror(k.alt).With({mathsize:"75%"});this.Append(e);e.toHTML(j);this.data.pop();j.bbox=e.HTMLspanElement().bbox}}}}else{if(!this.img){this.img=a.mglyph.GLYPH[k.src]}if(!this.img){this.img=a.mglyph.GLYPH[k.src]={img:new Image(),status:"pending"};var g=this.img.img;g.onload=MathJax.Callback(["HTMLimgLoaded",this]);g.onerror=MathJax.Callback(["HTMLimgError",this]);g.src=k.src;MathJax.Hub.RestartAfter(g.onload)}if(this.img.status!=="OK"){e=a.merror("Bad mglyph: "+k.src).With({mathsize:"75%"});this.Append(e);e.toHTML(j);this.data.pop();j.bbox=e.HTMLspanElement().bbox}else{var l=this.HTMLgetMu(j);g=b.addElement(j,"img",{isMathJax:true,src:k.src,alt:k.alt,title:k.alt});if(k.width){if(String(k.width).match(/^\s*-?\d+\s*$/)){k.width+="px"}g.style.width=b.Em(b.length2em(k.width,l,this.img.img.width/b.em))}if(k.height){if(String(k.height).match(/^\s*-?\d+\s*$/)){k.height+="px"}g.style.height=b.Em(b.length2em(k.height,l,this.img.img.height/b.em))}j.bbox.w=j.bbox.rw=g.offsetWidth/b.em;j.bbox.h=g.offsetHeight/b.em;if(k.valign){if(String(k.valign).match(/^\s*-?\d+\s*$/)){k.valign+="px"}j.bbox.d=-b.length2em(k.valign,l,this.img.img.height/b.em);g.style.verticalAlign=b.Em(-j.bbox.d);j.bbox.h-=j.bbox.d}}}if(!i.bbox){i.bbox={w:j.bbox.w,h:j.bbox.h,d:j.bbox.d,rw:j.bbox.rw,lw:j.bbox.lw}}else{if(j.bbox){i.bbox.w+=j.bbox.w;if(i.bbox.w>i.bbox.rw){i.bbox.rw=i.bbox.w}if(j.bbox.h>i.bbox.h){i.bbox.h=j.bbox.h}if(j.bbox.d>i.bbox.d){i.bbox.d=j.bbox.d}}}this.HTMLhandleSpace(j);this.HTMLhandleColor(j);return j},HTMLimgLoaded:function(e,d){if(typeof(e)==="string"){d=e}this.img.status=(d||"OK")},HTMLimgError:function(){this.img.img.onload("error")}},{GLYPH:{}});MathJax.Hub.Startup.signal.Post("HTML-CSS mglyph Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mglyph.js")});

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@ -12,5 +12,5 @@
* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="1.1";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mmultiscripts.Augment({toHTML:function(H,F,A){H=this.HTMLcreateSpan(H);var M=this.HTMLgetScale();var k=b.createStack(H),f;var j=b.createBox(k);this.HTMLmeasureChild(this.base,j);if(this.data[this.base]){if(A!=null){b.Remeasured(this.data[this.base].HTMLstretchV(j,F,A),j)}else{if(F!=null){b.Remeasured(this.data[this.base].HTMLstretchH(j,F),j)}}}var K=b.TeX.x_height*M,z=b.TeX.scriptspace*M*0.75;var y=this.HTMLgetScripts(k,z);var l=y[0],e=y[1],o=y[2],i=y[3];var g=(this.data[1]||this).HTMLgetScale();var C=b.TeX.sup_drop*g,B=b.TeX.sub_drop*g;var w=j.bbox.h-C,n=j.bbox.d+B,L=0,E;if(j.bbox.ic){L=j.bbox.ic}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&j.bbox.scale===1&&!this.data[this.base].Get("largeop")){w=n=0}}var G=this.getValues("subscriptshift","superscriptshift");G.subscriptshift=(G.subscriptshift===""?0:b.length2em(G.subscriptshift));G.superscriptshift=(G.superscriptshift===""?0:b.length2em(G.superscriptshift));var m=0;if(o){m=o.bbox.w+L}else{if(i){m=i.bbox.w-L}}if(m<0){m=0}b.placeBox(j,m,0);if(!e&&!i){n=Math.max(n,b.TeX.sub1*M,G.subscriptshift);if(l){n=Math.max(n,l.bbox.h-(4/5)*K)}if(o){n=Math.max(n,o.bbox.h-(4/5)*K)}if(l){b.placeBox(l,m+j.bbox.w+z-L,-n)}if(o){b.placeBox(o,0,-n)}}else{if(!l&&!o){f=this.getValues("displaystyle","texprimestyle");E=b.TeX[(f.displaystyle?"sup1":(f.texprimestyle?"sup3":"sup2"))];w=Math.max(w,E*M,G.superscriptshift);if(e){w=Math.max(w,e.bbox.d+(1/4)*K)}if(i){w=Math.max(w,i.bbox.d+(1/4)*K)}if(e){b.placeBox(e,m+j.bbox.w+z,w)}if(i){b.placeBox(i,0,w)}}else{n=Math.max(n,b.TeX.sub2*M);var x=b.TeX.rule_thickness*M;var I=(l||o).bbox.h,J=(e||i).bbox.d;if(o){I=Math.max(I,o.bbox.h)}if(i){J=Math.max(J,i.bbox.d)}if((w-J)-(I-n)<3*x){n=3*x-w+J+I;C=(4/5)*K-(w-J);if(C>0){w+=C;n-=C}}w=Math.max(w,G.superscriptshift);n=Math.max(n,G.subscriptshift);if(e){b.placeBox(e,m+j.bbox.w+z,w)}if(i){b.placeBox(i,m+L-i.bbox.w,w)}if(l){b.placeBox(l,m+j.bbox.w+z-L,-n)}if(o){b.placeBox(o,m-o.bbox.w,-n)}}}this.HTMLhandleSpace(H);this.HTMLhandleColor(H);return H},HTMLgetScripts:function(p,q){var o,d,e=[];var n=1,g=this.data.length,f=0;for(var h=0;h<4;h+=2){while(n<g&&this.data[n].type!=="mprescripts"){for(var l=h;l<h+2;l++){if(this.data[n]&&this.data[n].type!=="none"){if(!e[l]){e[l]=b.createBox(p);e[l].bbox=this.HTMLemptyBBox({});if(f){b.createBlank(e[l],f);e[l].bbox.w=e[l].bbox.rw=f}}this.data[n].toHTML(e[l]);this.HTMLcombineBBoxes(this.data[n],e[l].bbox)}n++}d=e[h];o=e[h+1];if(d&&o){if(d.bbox.w<o.bbox.w){b.createBlank(d,o.bbox.w-d.bbox.w);d.bbox.w=o.bbox.w;d.bbox.rw=Math.max(d.bbox.w,d.bbox.rw)}else{if(d.bbox.w>o.bbox.w){b.createBlank(o,d.bbox.w-o.bbox.w);o.bbox.w=d.bbox.w;o.bbox.rw=Math.max(o.bbox.w,o.bbox.rw)}}}if(d){f=d.bbox.w}else{if(o){f=o.bbox.w}}}n++;f=0}for(l=0;l<4;l++){if(e[l]){e[l].bbox.w+=q;e[l].bbox.rw=Math.max(e[l].bbox.w,e[l].bbox.rw);this.HTMLcleanBBox(e[l].bbox)}}return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mmultiscripts Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mmultiscripts.js")});
MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.0";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mmultiscripts.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var O=this.HTMLgetScale();var l=b.createStack(J),f;var j=b.createBox(l);if(this.data[this.base]){var k=this.data[this.base].toHTML(j);if(B!=null){this.data[this.base].HTMLstretchV(j,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(j,H)}}b.Measured(k,j)}else{j.bbox=this.HTMLzeroBBox()}var M=b.TeX.x_height*O,A=b.TeX.scriptspace*O*0.75;var z=this.HTMLgetScripts(l,A);var m=z[0],e=z[1],w=z[2],i=z[3];var g=(this.data[1]||this).HTMLgetScale();var E=b.TeX.sup_drop*g,C=b.TeX.sub_drop*g;var x=j.bbox.h-E,o=j.bbox.d+C,N=0,G;if(j.bbox.ic){N=j.bbox.ic}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&j.bbox.scale===1&&!this.data[this.base].Get("largeop")){x=o=0}}var I=this.getValues("subscriptshift","superscriptshift"),F=this.HTMLgetMu(J);I.subscriptshift=(I.subscriptshift===""?0:b.length2em(I.subscriptshift,F));I.superscriptshift=(I.superscriptshift===""?0:b.length2em(I.superscriptshift,F));var n=0;if(w){n=w.bbox.w+N}else{if(i){n=i.bbox.w-N}}if(n<0){n=0}b.placeBox(j,n,0);if(!e&&!i){o=Math.max(o,b.TeX.sub1*O,I.subscriptshift);if(m){o=Math.max(o,m.bbox.h-(4/5)*M)}if(w){o=Math.max(o,w.bbox.h-(4/5)*M)}if(m){b.placeBox(m,n+j.bbox.w+A-N,-o)}if(w){b.placeBox(w,0,-o)}}else{if(!m&&!w){f=this.getValues("displaystyle","texprimestyle");G=b.TeX[(f.displaystyle?"sup1":(f.texprimestyle?"sup3":"sup2"))];x=Math.max(x,G*O,I.superscriptshift);if(e){x=Math.max(x,e.bbox.d+(1/4)*M)}if(i){x=Math.max(x,i.bbox.d+(1/4)*M)}if(e){b.placeBox(e,n+j.bbox.w+A,x)}if(i){b.placeBox(i,0,x)}}else{o=Math.max(o,b.TeX.sub2*O);var y=b.TeX.rule_thickness*O;var K=(m||w).bbox.h,L=(e||i).bbox.d;if(w){K=Math.max(K,w.bbox.h)}if(i){L=Math.max(L,i.bbox.d)}if((x-L)-(K-o)<3*y){o=3*y-x+L+K;E=(4/5)*M-(x-L);if(E>0){x+=E;o-=E}}x=Math.max(x,I.superscriptshift);o=Math.max(o,I.subscriptshift);if(e){b.placeBox(e,n+j.bbox.w+A,x)}if(i){b.placeBox(i,n+N-i.bbox.w,x)}if(m){b.placeBox(m,n+j.bbox.w+A-N,-o)}if(w){b.placeBox(w,n-w.bbox.w,-o)}}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLgetScripts:function(p,q){var o,d,e=[];var n=1,g=this.data.length,f=0;for(var h=0;h<4;h+=2){while(n<g&&this.data[n].type!=="mprescripts"){for(var l=h;l<h+2;l++){if(this.data[n]&&this.data[n].type!=="none"){if(!e[l]){e[l]=b.createBox(p);e[l].bbox=this.HTMLemptyBBox({});if(f){b.createBlank(e[l],f);e[l].bbox.w=e[l].bbox.rw=f}}this.data[n].toHTML(e[l]);this.HTMLcombineBBoxes(this.data[n],e[l].bbox)}n++}d=e[h];o=e[h+1];if(d&&o){if(d.bbox.w<o.bbox.w){b.createBlank(d,o.bbox.w-d.bbox.w);d.bbox.w=o.bbox.w;d.bbox.rw=Math.max(d.bbox.w,d.bbox.rw)}else{if(d.bbox.w>o.bbox.w){b.createBlank(o,d.bbox.w-o.bbox.w);o.bbox.w=d.bbox.w;o.bbox.rw=Math.max(o.bbox.w,o.bbox.rw)}}}if(d){f=d.bbox.w}else{if(o){f=o.bbox.w}}}n++;f=0}for(l=0;l<4;l++){if(e[l]){e[l].bbox.w+=q;e[l].bbox.rw=Math.max(e[l].bbox.w,e[l].bbox.rw);this.HTMLcleanBBox(e[l].bbox)}}return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mmultiscripts Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mmultiscripts.js")});

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@ -12,5 +12,5 @@
* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="1.1";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.ms.Augment({toHTML:function(e){e=this.HTMLhandleSize(this.HTMLcreateSpan(e));var d=this.getValues("lquote","rquote");var g=this.data.join("");var f=[];if(d.lquote.length===1){f.push(this.HTMLquoteRegExp(d.lquote))}if(d.rquote.length===1){f.push(this.HTMLquoteRegExp(d.rquote))}if(f.length){g=g.replace(RegExp("("+f.join("|")+")","g"),"\\$1")}this.HTMLhandleVariant(e,this.HTMLgetVariant(),d.lquote+g+d.rquote);this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLquoteRegExp:function(d){return d.replace(/([.*+?|{}()\[\]\\])/g,"\\$1")}});a.ms.prototype.defaults.fontfamily="monospace";MathJax.Hub.Startup.signal.Post("HTML-CSS ms Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/ms.js")});
MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.0";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.ms.Augment({toHTML:function(e){e=this.HTMLhandleSize(this.HTMLcreateSpan(e));var d=this.getValues("lquote","rquote");var g=this.data.join("");var f=[];if(d.lquote.length===1){f.push(this.HTMLquoteRegExp(d.lquote))}if(d.rquote.length===1){f.push(this.HTMLquoteRegExp(d.rquote))}if(f.length){g=g.replace(RegExp("("+f.join("|")+")","g"),"\\$1")}this.HTMLhandleVariant(e,this.HTMLgetVariant(),d.lquote+g+d.rquote);this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLquoteRegExp:function(d){return d.replace(/([.*+?|{}()\[\]\\])/g,"\\$1")}});a.ms.prototype.defaults.mathvariant="monospace";MathJax.Hub.Startup.signal.Post("HTML-CSS ms Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/ms.js")});

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