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/ *
* / M a t h J a x / c o n f i g / T e X - A M S _ H T M L . j s
*
* Copyright ( c ) 2010 - 11 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 . Ajax . Preloading (
"[MathJax]/jax/input/TeX/config.js" ,
"[MathJax]/jax/output/HTML-CSS/config.js" ,
"[MathJax]/extensions/tex2jax.js" ,
"[MathJax]/extensions/MathZoom.js" ,
"[MathJax]/extensions/MathMenu.js" ,
"[MathJax]/jax/element/mml/jax.js" ,
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"[MathJax]/extensions/toMathML.js" ,
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"[MathJax]/extensions/TeX/noErrors.js" ,
"[MathJax]/extensions/TeX/noUndefined.js" ,
"[MathJax]/jax/input/TeX/jax.js" ,
"[MathJax]/extensions/TeX/AMSmath.js" ,
"[MathJax]/extensions/TeX/AMSsymbols.js"
) ;
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MathJax . Hub . Config ( { "v1.0-compatible" : false } ) ;
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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" ) ;
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MathJax . OutputJax [ "HTML-CSS" ] = MathJax . OutputJax ( { id : "HTML-CSS" , version : "1.1.5" , directory : MathJax . OutputJax . directory + "/HTML-CSS" , extensionDir : MathJax . OutputJax . extensionDir + "/HTML-CSS" , autoloadDir : MathJax . OutputJax . directory + "/HTML-CSS/autoload" , fontDir : MathJax . OutputJax . directory + "/HTML-CSS/fonts" , webfontDir : MathJax . OutputJax . fontDir + "/HTML-CSS" , config : { scale : 100 , minScaleAdjust : 50 , availableFonts : [ "STIX" , "TeX" ] , preferredFont : "TeX" , webFont : "TeX" , imageFont : "TeX" , undefinedFamily : "STIXGeneral,'Arial Unicode MS',serif" , showMathMenu : true , styles : { ".MathJax_Display" : { "text-align" : "center" , margin : "1em 0em" } , ".MathJax .merror" : { "background-color" : "#FFFF88" , color : "#CC0000" , border : "1px solid #CC0000" , padding : "1px 3px" , "font-family" : "serif" , "font-style" : "normal" , "font-size" : "90%" } , ".MathJax_Preview" : { color : "#888888" } , "#MathJax_Tooltip" : { "background-color" : "InfoBackground" , color : "InfoText" , border : "1px solid black" , "box-shadow" : "2px 2px 5px #AAAAAA" , "-webkit-box-shadow" : "2px 2px 5px #AAAAAA" , "-moz-box-shadow" : "2px 2px 5px #AAAAAA" , "-khtml-box-shadow" : "2px 2px 5px #AAAAAA" , filter : "progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')" , padding : "3px 4px" } } } } ) ; if ( MathJax . Hub . Browser . isMSIE && document . documentMode >= 9 ) { delete MathJax . OutputJax [ "HTML-CSS" ] . config . styles [ "#MathJax_Tooltip" ] . filter } if ( ! MathJax . Hub . config . delayJaxRegistration ) { MathJax . OutputJax [ "HTML-CSS" ] . Register ( "jax/mml" ) } MathJax . Hub . Register . StartupHook ( "End Config" , [ function ( b , c ) { var a = b . Insert ( { minBrowserVersion : { Firefox : 3 , Opera : 9.52 , MSIE : 6 , Chrome : 0.3 , Safari : 2 , Konqueror : 4 } , inlineMathDelimiters : [ "$" , "$" ] , displayMathDelimiters : [ "$$" , "$$" ] , multilineDisplay : true , minBrowserTranslate : function ( f ) { var e = b . getJaxFor ( f ) , k = [ "[Math]" ] , j ; var h = document . createElement ( "span" , { className : "MathJax_Preview" } ) ; if ( e . inputJax . id === "TeX" ) { if ( e . root . Get ( "displaystyle" ) ) { j = a . displayMathDelimiters ; k = [ j [ 0 ] + e . originalText + j [ 1 ] ] ; if ( a . multilineDisplay ) { k = k [ 0 ] . split ( /\n/ ) } } else { j = a . inlineMathDelimiters ; k = [ j [ 0 ] + e . originalText . replace ( /^\s+/ , "" ) . replace ( /\s+$/ , "" ) + j [ 1 ] ] } } for ( var g = 0 , d = k . length ; g < d ; g ++ ) { h . appendChild ( document . createTextNode ( k [ g ] ) ) ; if ( g < d - 1 ) { h . appendChild ( document . createElement ( "br" ) ) } } f . parentNode . insertBefore ( h , f ) } } , ( b . config [ "HTML-CSS" ] || { } ) ) ; if ( b . Browser . version !== "0.0" && ! b . Browser . versionAtLeast ( a . minBrowserVersion [ b . Browser ] || 0 ) ) { c . Translate = a . minBrowserTranslate ; b . Config ( { showProcessingMessages : false } ) ; MathJax . Message . Set ( "Your browser does not support MathJax" , null , 4000 ) ; b . Startup . signal . Post ( "MathJax not supported" ) } } , MathJax . Hub , MathJax . OutputJax [ "HTML-CSS" ] ] ) ; MathJax . OutputJax [ "HTML-CSS" ] . loadComplete ( "config.js" ) ;
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MathJax . Extension . tex2jax = { version : "1.1.3" , config : { inlineMath : [ [ "\\(" , "\\)" ] ] , displayMath : [ [ "$$" , "$$" ] , [ "\\[" , "\\]" ] ] , skipTags : [ "script" , "noscript" , "style" , "textarea" , "pre" , "code" ] , ignoreClass : "tex2jax_ignore" , processClass : "tex2jax_process" , processEscapes : false , processEnvironments : true , preview : "TeX" } , PreProcess : function ( a ) { if ( ! this . configured ) { this . config = MathJax . Hub . CombineConfig ( "tex2jax" , 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 . configured = true } if ( typeof ( a ) === "string" ) { a = document . getElementById ( a ) } if ( ! a ) { a = document . body } this . createPatterns ( ) ; this . scanElement ( a , a . nextSibling ) } , createPatterns : function ( ) { var d = [ ] , c , a , b = this . config ; this . match = { } ; for ( c = 0 , a = b . inlineMath . length ; c < a ; c ++ ) { d . push ( this . patternQuote ( b . inlineMath [ c ] [ 0 ] ) ) ; this . match [ b . inlineMath [ c ] [ 0 ] ] = { mode : "" , end : b . inlineMath [ c ] [ 1 ] , pattern : this . endPattern ( b . inlineMath [ c ] [ 1 ] ) } } for ( c = 0 , a = b . displayMath . length ; c < a ; c ++ ) { d . push ( this . patternQuote ( b . displayMath [ c ] [ 0 ] ) ) ; this . match [ b . displayMath [ c ] [ 0 ] ] = { mode : "; mode=display" , end : b . displayMath [ c ] [ 1 ] , pattern : this . endPattern ( b . displayMath [ c ] [ 1 ] ) } } this . start = new RegExp ( d . sort ( this . sortLength ) . join ( "|" ) + ( b . processEnvironments ? "|\\\\begin\\{([^}]*)\\}" : "" ) + ( b . processEscapes ? "|\\\\*\\\\\\$" : "" ) , "g" ) ; this . skipTags = new RegExp ( "^(" + b . skipTags . join ( "|" ) + ")$" , "i" ) ; this . ignoreClass = new RegExp ( "(^| )(" + b . ignoreClass + ")( |$)" ) ; this . processClass = new RegExp ( "(^| )(" + b . processClass + ")( |$)" ) } , patternQuote : function ( a ) { return a . replace ( /([\^$(){}+*?\-|\[\]\:\\])/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 , f ) { var a , e , d ; while ( c && c != b ) { if ( c . nodeName . toLowerCase ( ) === "#text" ) { if ( ! f ) { 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 ) } if ( c . firstChild && ! a . match ( /(^| )MathJax/ ) && ! this . skipTags . exec ( e ) ) { d = ( f || this . ignoreClass . exec ( a ) ) && ! this . processClass . exec ( a ) ; 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 f = this . match [ a [ 0 ] ] ; if ( f != null ) { this . search = { end : f . end , mode : f . mode , open : b , olen : a [ 0 ] . length , opos : this . pattern . lastIndex - a [ 0 ] . length } ; this . switchPattern ( f . pattern ) } else { if ( a [ 0 ] . substr ( 0 , 6 ) === "\\begin" ) { this . search = { end : "\\end{" + a [ 1 ] + "}" , mode : "; mode=display" , open : b , olen : 0 , opos : this . pattern . lastIndex - a [ 0 ] . length , isBeginEnd : true } ; this . switchPattern ( this . endPattern ( this . search . end ) ) } else { var d = a [ 0 ] . substr ( 0 , a [ 0 ] . length - 1 ) , g , c ; if ( d . length % 2 === 0 ) { c = [ d . replace ( /\\\\/g , "\\" ) ] ; g = 1 } else { c = [ d . substr ( 1 ) . replace ( /\\\\/g , "\\" ) , "$" ] ; g = 0 } c = MathJax . HTML . Element ( "span" , null , c ) ; var e = MathJax . HTML . TextNode ( b . nodeValue . substr ( 0 , a . index ) ) ; b . nodeValue = b . nodeValue . substr ( a . index + a [ 0 ] . length - g ) ; b . parentNode . insertBefore ( c , b ) ; b . parentNode . insertBefore ( e , c ) ; this . pattern . lastIndex = g } } 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 .
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( function ( a , c , e , b , h ) { var i = "1.1" ; var g = a . CombineConfig ( "MathZoom" , { delay : 400 , styles : { "#MathJax_Zoom" : { position : "absolute" , "background-color" : "#F0F0F0" , overflow : "auto" , display : "block" , "z-index" : 301 , padding : ".5em" , border : "1px solid black" , margin : 0 , "font-family" : "serif" , "font-size" : "85%" , "font-weight" : "normal" , "font-style" : "normal" , "text-align" : "left" , "text-indent" : 0 , "text-transform" : "none" , "line-height" : "normal" , "letter-spacing" : "normal" , "word-spacing" : "normal" , "word-wrap" : "normal" , "white-space" : "nowrap" , "float" : "none" , "box-shadow" : "5px 5px 15px #AAAAAA" , "-webkit-box-shadow" : "5px 5px 15px #AAAAAA" , "-moz-box-shadow" : "5px 5px 15px #AAAAAA" , "-khtml-box-shadow" : "5px 5px 15px #AAAAAA" , filter : "progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')" } , "#MathJax_ZoomOverlay" : { position : "absolute" , left : 0 , top : 0 , "z-index" : 300 , display : "inline-block" , width : "100%" , height : "100%" , border : 0 , padding : 0 , margin : 0 , "background-color" : "white" , opacity : 0 , filter : "alpha(opacity=0)" } } } ) ; var d = function ( j ) { if ( ! j ) { j = window . event } if ( j ) { if ( j . preventDefault ) { j . preventDefault ( ) } if ( j . stopPropagation ) { j . stopPropagation ( ) } j . cancelBubble = true ; j . returnValue = false } return false } ; var f = MathJax . Extension . MathZoom = { version : i , settings : a . config . menuSettings , HandleEvent : function ( l , j , k ) { if ( ! l ) { l = window . event } if ( f . settings . CTRL && ! l . ctrlKey ) { return true } if ( f . settings . ALT && ! l . altKey ) { return true } if ( f . settings . CMD && ! l . metaKey ) { return true } if ( f . settings . Shift && ! l . shiftKey ) { return true } return f [ j ] ( l , k ) } , Click : function ( k , j ) { if ( this . settings . zoom === "Click" ) { return this . Zoom ( j , k ) } } , DblClick : function ( k , j ) { if ( this . settings . zoom === "Double-Click" ) { return this . Zoom ( j , k ) } } , Mouseover : function ( k , j ) { if ( this . settings . zoom === "Hover" ) { f . oldMouseOver = j . onmouseover ; j . onmouseover = null ; j . onmousemove = this . Mousemove ; j . onmouseout = this . Mouseout ; return f . Timer ( k , j ) } } , Mouseout : function ( j ) { this . onmouseover = f . oldMouseOver ; delete f . oldMouseOver ; this . onmousemove = this . onmouseout = null ; f . ClearTimer ( ) ; return d ( j ) } , Mousemove : function ( j ) { return f . Timer ( j || window . event , this ) } , Timer : function ( k , j ) { this . ClearTimer ( ) ; this . timer = setTimeout ( MathJax . Callback ( [ "Zoom" , this , j , { } ] ) , g . delay ) ; return d ( k ) } , ClearTimer : function ( ) { if ( this . timer ) { clearTimeout ( this . timer ) ; delete this . timer } } , Zoom : function ( s , l ) { this . ClearTimer ( ) ; this . Remove ( ) ; var v = s . parentNode ; if ( v . className === "MathJax_MathContainer" ) { v = v . parentNode } if ( v . parentNode . className === "MathJax_MathContainer" ) { v = v . parentNode . parentNode } var q = ( String ( v . className ) . match ( /^MathJax_(MathML|Display)$/ ) ? v : s ) . nextSibling ; var m = a . getJaxFor ( q ) , r = m . root ; var o = ( b && m . outputJax . isa ( b . constructor ) ? "HTMLCSS" : ( h && m . outputJax . isa ( h . constructor ) ? "MathML" : null ) ) ; if ( ! o ) { return } var j = Math . floor ( 0.85 * document . body . clientWidth ) , p = Math . floor ( 0.85 * document . body . clientHeight ) ; var k = c . Element ( "span" , { style : { position : "relative" , display : "inline-block" , height : 0 , width : 0 } , id : "MathJax_ZoomFrame" } , [ [ "span" , { id : "MathJax_ZoomOverlay" , onmousedown : this . Remove } ] , [ "span" , { id : "MathJax_Zoom" , onclick : this . Remove , style : { visibility : "hidden" , fontSize : this . settings . zscale , "max-width" : j + "px" , "max-height" : p + "px" } } , [ [ "span" ] ] ] ] ) ; var x = k . lastChild , u = x . firstChild , n = k . firstChild ; s . parentNode . insertBefore ( k , s ) ; if ( this . msieZIndexBug ) { var t = c . Element ( "img" , { src : "about:blank" , id : "MathJax_ZoomTracker" , style : { width : 0 , height : 0 , position : "relative" } } ) ; document . body . appendChild ( k ) ; k . style . position = "absolute" ; k . style . zIndex = g . styles [ "#MathJax_ZoomOverlay" ] [ "z-index" ] ; k = t } var w = ( this [ "Zoom" + o ] ) ( r , u , s ) ; if ( this . msiePositionBug ) { if ( this . msieIE8Bug ) { u . style . position = "absolute" ; x . style . height = u . offsetHeight ; u . style . position = "" ; if ( x . offsetHeight <= p && x . offsetWidth <= j ) { x . style . overflow = "visible" } } if ( this . msieWidthBug ) { x . style . width = Math . min ( j , w . w ) } else { if ( w . w > j ) { x . style . width = j } } if ( x . offsetHeight > p ) { x . style . Height = p + "px" } if ( s . nextSibling ) { s . parentNode . insertBefore ( k , s . nextSibling ) } else { v . appendChild ( k ) } } else { if ( this . operaPositionBug ) { x . style . width = Math . min ( j , u . offsetWidth ) + "px" } } this . Position ( x , w , ( o === "MathML" && v . nodeName . toLowerCase ( ) === "div" ) ) ; x . style . visibility = "" ; if ( this . settings . zoom === "Hover" ) { n . onmouseov
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( function ( b , c , f ) { var k = "1.1.4" ; MathJax . Extension . MathMenu = { version : k } ; var i = b . Browser . isPC , g = b . Browser . isMSIE ; var e = ( i ? null : "5px" ) ; var j = b . CombineConfig ( "MathMenu" , { delay : 150 , helpURL : "http://www.mathjax.org/help/user/" , showRenderer : true , showFontMenu : false , showContext : false , windowSettings : { status : "no" , toolbar : "no" , locationbar : "no" , menubar : "no" , directories : "no" , personalbar : "no" , resizable : "yes" , scrollbars : "yes" , width : 100 , height : 50 } , styles : { "#MathJax_About" : { position : "fixed" , left : "50%" , width : "auto" , "text-align" : "center" , border : "3px outset" , padding : "1em 2em" , "background-color" : "#DDDDDD" , color : "black" , cursor : "default" , "font-family" : "message-box" , "font-size" : "120%" , "font-style" : "normal" , "text-indent" : 0 , "text-transform" : "none" , "line-height" : "normal" , "letter-spacing" : "normal" , "word-spacing" : "normal" , "word-wrap" : "normal" , "white-space" : "nowrap" , "float" : "none" , "z-index" : 201 , "border-radius" : "15px" , "-webkit-border-radius" : "15px" , "-moz-border-radius" : "15px" , "-khtml-border-radius" : "15px" , "box-shadow" : "0px 10px 20px #808080" , "-webkit-box-shadow" : "0px 10px 20px #808080" , "-moz-box-shadow" : "0px 10px 20px #808080" , "-khtml-box-shadow" : "0px 10px 20px #808080" , filter : "progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')" } , ".MathJax_Menu" : { position : "absolute" , "background-color" : "white" , color : "black" , width : "auto" , padding : ( i ? "2px" : "5px 0px" ) , border : "1px solid #CCCCCC" , margin : 0 , cursor : "default" , font : "menu" , "text-align" : "left" , "text-indent" : 0 , "text-transform" : "none" , "line-height" : "normal" , "letter-spacing" : "normal" , "word-spacing" : "normal" , "word-wrap" : "normal" , "white-space" : "nowrap" , "float" : "none" , "z-index" : 201 , "border-radius" : e , "-webkit-border-radius" : e , "-moz-border-radius" : e , "-khtml-border-radius" : e , "box-shadow" : "0px 10px 20px #808080" , "-webkit-box-shadow" : "0px 10px 20px #808080" , "-moz-box-shadow" : "0px 10px 20px #808080" , "-khtml-box-shadow" : "0px 10px 20px #808080" , filter : "progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')" } , ".MathJax_MenuItem" : { padding : ( i ? "2px 2em" : "1px 2em" ) , background : "transparent" } , ".MathJax_MenuTitle" : { "background-color" : "#CCCCCC" , margin : ( i ? "-1px -1px 1px -1px" : "-5px 0 0 0" ) , "text-align" : "center" , "font-style" : "italic" , "font-size" : "80%" , color : "#444444" , padding : "2px 0" , overflow : "hidden" } , ".MathJax_MenuArrow" : { position : "absolute" , right : ".5em" , color : "#666666" , "font-family" : ( g ? "'Arial unicode MS'" : null ) } , ".MathJax_MenuActive .MathJax_MenuArrow" : { color : "white" } , ".MathJax_MenuCheck" : { position : "absolute" , left : ".7em" , "font-family" : ( g ? "'Arial unicode MS'" : null ) } , ".MathJax_MenuRadioCheck" : { position : "absolute" , left : ( i ? "1em" : ".7em" ) } , ".MathJax_MenuLabel" : { padding : ( i ? "2px 2em 4px 1.33em" : "1px 2em 3px 1.33em" ) , "font-style" : "italic" } , ".MathJax_MenuRule" : { "border-top" : ( i ? "1px solid #CCCCCC" : "1px solid #DDDDDD" ) , margin : ( i ? "4px 1px 0px" : "4px 3px" ) } , ".MathJax_MenuDisabled" : { color : "GrayText" } , ".MathJax_MenuActive" : { "background-color" : ( i ? "Highlight" : "#606872" ) , color : ( i ? "HighlightText" : "white" ) } } } ) ; var d = function ( l ) { if ( ! l ) { l = window . event } if ( l ) { if ( l . preventDefault ) { l . preventDefault ( ) } if ( l . stopPropagation ) { l . stopPropagation ( ) } l . cancelBubble = true ; l . returnValue = false } return false } ; var a = MathJax . Menu = MathJax . Object . Subclass ( { version : k , items : [ ] , posted : false , title : null , margin : 5 , Init : function ( l ) { this . items = [ ] . slice . call ( arguments , 0 ) } , With : function ( l ) { if ( l ) { b . Insert ( this , l ) } return this } , Post : function ( n , v ) { if ( ! n ) { n = window . event } var t = ( ! this . title ? null : [ [ "div" , { className : "MathJax_MenuTitle" } , [ this . title ] ] ] ) ; var l = document . getElementById ( "MathJax_MenuFrame" ) ; if ( ! l ) { l = a . Background ( this ) } var o = c . addElement ( l , "div" , { onmouseup : a . Mouseup , ondblclick : this . False , ondragstart : this . False , onselectstart : this . False , oncontextmenu : this . False , menuItem : this , className : "MathJax_Menu" } , t ) ; for ( var q = 0 , p = this . items . length ; q < p ; q ++ ) { this . items [ q ] . Create ( o ) } this . posted = true ; o . style . width = ( o . offsetWidth + 2 ) + "px" ; var u = n . pageX , s = n . pageY ; if ( ! u && ! s ) { u = n . clientX + document . body . scrollLeft + document . documentElement . scrollLeft ; s = n . clientY + document . body . scrollTop + document . documentElement . scrollTop } if ( ! v ) { if ( u + o . offsetWid
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MathJax . ElementJax . mml = MathJax . ElementJax ( { mimeType : "jax/mml" } , { id : "mml" , version : "1.1.1" , directory : MathJax . ElementJax . directory + "/mml" , extensionDir : MathJax . ElementJax . extensionDir + "/mml" , optableDir : MathJax . ElementJax . directory + "/mml/optable" } ) ; MathJax . ElementJax . mml . Augment ( { Init : function ( ) { if ( arguments . length === 1 && arguments [ 0 ] . type === "math" ) { this . root = arguments [ 0 ] } else { this . root = MathJax . ElementJax . mml . math . apply ( this , arguments ) } if ( this . root . mode ) { if ( ! this . root . display && this . root . mode === "display" ) { this . root . display = "block" } delete this . root . mode } } } , { INHERIT : "_inherit_" , AUTO : "_auto_" , SIZE : { INFINITY : "infinity" , SMALL : "small" , NORMAL : "normal" , BIG : "big" } , COLOR : { TRANSPARENT : "transparent" } , VARIANT : { NORMAL : "normal" , BOLD : "bold" , ITALIC : "italic" , BOLDITALIC : "bold-italic" , DOUBLESTRUCK : "double-struck" , FRAKTUR : "fraktur" , BOLDFRAKTUR : "bold-fraktur" , SCRIPT : "script" , BOLDSCRIPT : "bold-script" , SANSSERIF : "sans-serif" , BOLDSANSSERIF : "bold-sans-serif" , SANSSERIFITALIC : "sans-serif-italic" , SANSSERIFBOLDITALIC : "sans-serif-bold-italic" , MONOSPACE : "monospace" , INITIAL : "inital" , TAILED : "tailed" , LOOPED : "looped" , STRETCHED : "stretched" , CALIGRAPHIC : "-tex-caligraphic" , OLDSTYLE : "-tex-oldstyle" } , FORM : { PREFIX : "prefix" , INFIX : "infix" , POSTFIX : "postfix" } , LINEBREAK : { AUTO : "auto" , NEWLINE : "newline" , NOBREAK : "nobreak" , GOODBREAK : "goodbreak" , BADBREAK : "badbreak" } , LINEBREAKSTYLE : { BEFORE : "before" , AFTER : "after" , DUPLICATE : "duplicate" , INFIXLINBREAKSTYLE : "infixlinebreakstyle" } , INDENTALIGN : { LEFT : "left" , CENTER : "center" , RIGHT : "right" , AUTO : "auto" , ID : "id" , INDENTALIGN : "indentalign" } , INDENTSHIFT : { INDENTSHIFT : "indentshift" } , LINETHICKNESS : { THIN : "thin" , MEDIUM : "medium" , THICK : "thick" } , NOTATION : { LONGDIV : "longdiv" , ACTUARIAL : "actuarial" , RADICAL : "radical" , BOX : "box" , ROUNDEDBOX : "roundedbox" , CIRCLE : "circle" , LEFT : "left" , RIGHT : "right" , TOP : "top" , BOTTOM : "bottom" , UPDIAGONALSTRIKE : "updiagonalstrike" , DOWNDIAGONALSTRIKE : "downdiagonalstrike" , VERTICALSTRIKE : "verticalstrike" , HORIZONTALSTRIKE : "horizontalstrike" , MADRUWB : "madruwb" } , ALIGN : { TOP : "top" , BOTTOM : "bottom" , CENTER : "center" , BASELINE : "baseline" , AXIS : "axis" , LEFT : "left" , RIGHT : "right" } , LINES : { NONE : "none" , SOLID : "solid" , DASHED : "dashed" } , SIDE : { LEFT : "left" , RIGHT : "right" , LEFTOVERLAP : "leftoverlap" , RIGHTOVERLAP : "rightoverlap" } , WIDTH : { AUTO : "auto" , FIT : "fit" } , ACTIONTYPE : { TOGGLE : "toggle" , STATUSLINE : "statusline" , TOOLTIP : "tooltip" , INPUT : "input" } , LENGTH : { VERYVERYTHINMATHSPACE : "veryverythinmathspace" , VERYTHINMATHSPACE : "verythinmathspace" , THINMATHSPACE : "thinmathspace" , MEDIUMMATHSPACE : "mediummathspace" , THICKMATHSPACE : "thickmathspace" , VERYTHICKMATHSPACE : "verythickmathspace" , VERYVERYTHICKMATHSPACE : "veryverythickmathspace" , NEGATIVEVERYVERYTHINMATHSPACE : "negativeveryverythinmathspace" , NEGATIVEVERYTHINMATHSPACE : "negativeverythinmathspace" , NEGATIVETHINMATHSPACE : "negativethinmathspace" , NEGATIVEMEDIUMMATHSPACE : "negativemediummathspace" , NEGATIVETHICKMATHSPACE : "negativethickmathspace" , NEGATIVEVERYTHICKMATHSPACE : "negativeverythickmathspace" , NEGATIVEVERYVERYTHICKMATHSPACE : "negativeveryverythickmathspace" } , OVERFLOW : { LINBREAK : "linebreak" , SCROLL : "scroll" , ELIDE : "elide" , TRUNCATE : "truncate" , SCALE : "scale" } , UNIT : { EM : "em" , EX : "ex" , PX : "px" , IN : "in" , CM : "cm" , MM : "mm" , PT : "pt" , PC : "pc" } , TEXCLASS : { ORD : 0 , OP : 1 , BIN : 2 , REL : 3 , OPEN : 4 , CLOSE : 5 , PUNCT : 6 , INNER : 7 , VCENTER : 8 , NONE : - 1 } , PLANE1 : String . fromCharCode ( 55349 ) } ) ; ( function ( a ) { var d = false ; var b = true ; a . mbase = MathJax . Object . Subclass ( { type : "base" , isToken : d , defaults : { mathbackground : a . INHERIT , mathcolor : a . INHERIT } , noInherit : { } , Init : function ( ) { this . data = [ ] ; if ( this . inferRow && ! ( arguments . length === 1 && arguments [ 0 ] . inferred ) ) { this . Append ( a . mrow ( ) . With ( { inferred : b } ) ) } this . Append . apply ( this , arguments ) } , With : function ( f ) { for ( var g in f ) { if ( f . hasOwnProperty ( g ) ) { this [ g ] = f [ g ] } } return this } , Append : function ( ) { if ( this . inferRow && this . data . length ) { this . data [ 0 ] . Append . apply ( this . data [ 0 ] , arguments ) } else { for ( var g = 0 , f = arguments . length ; g < f ; g ++ ) { this . SetData ( this . data . length , arguments [ g ] ) } } } , SetData : function ( f , g ) { if ( g != null ) { if ( ! ( g instanceof a . mbase ) ) { g = ( this . isToken ? a . chars ( g ) : a . mtext ( g ) ) } g . parent = this ; g . setInherit ( this . inheritFromMe ? this : this . inherit ) } this . data [ f ] = g } , Parent : function ( ) { var f = this . p
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MathJax . Hub . Register . LoadHook ( "[MathJax]/jax/element/mml/jax.js" , function ( ) { var b = "1.1.1" ; var a = MathJax . ElementJax . mml ; a . mbase . Augment ( { toMathML : function ( k ) { var g = ( this . inferred && this . parent . inferRow ) ; if ( k == null ) { k = "" } var e = this . type , d = this . MathMLattributes ( ) ; if ( e === "mspace" ) { return k + "<" + e + d + " />" } var j = [ ] ; var h = ( this . isToken ? "" : k + ( g ? "" : " " ) ) ; for ( var f = 0 , c = this . data . length ; f < c ; f ++ ) { if ( this . data [ f ] ) { j . push ( this . data [ f ] . toMathML ( h ) ) } else { if ( ! this . isToken ) { j . push ( h + "<mrow />" ) } } } if ( this . isToken ) { return k + "<" + e + d + ">" + j . join ( "" ) + "</" + e + ">" } if ( g ) { return j . join ( "\n" ) } if ( j . length === 0 || ( j . length === 1 && j [ 0 ] === "" ) ) { return k + "<" + e + d + " />" } return k + "<" + e + d + ">\n" + j . join ( "\n" ) + "\n" + k + "</" + e + ">" } , MathMLattributes : function ( ) { var j = [ ] , g = this . defaults ; var c = this . copyAttributes , l = this . skipAttributes ; if ( this . type === "math" ) { j . push ( 'xmlns="http://www.w3.org/1998/Math/MathML"' ) } if ( this . type === "mstyle" ) { g = a . math . prototype . defaults } for ( var d in g ) { if ( ! l [ d ] && g . hasOwnProperty ( d ) ) { var e = ( d === "open" || d === "close" ) ; if ( this [ d ] != null && ( e || this [ d ] !== g [ d ] ) ) { var k = this [ d ] ; delete this [ d ] ; if ( e || this . Get ( d ) !== k ) { j . push ( d + '="' + this . quoteHTML ( k ) + '"' ) } this [ d ] = k } } } for ( var h = 0 , f = c . length ; h < f ; h ++ ) { if ( this [ c [ h ] ] != null ) { j . push ( c [ h ] + '="' + this . quoteHTML ( this [ c [ h ] ] ) + '"' ) } } if ( j . length ) { return " " + j . join ( " " ) } else { return "" } } , copyAttributes : [ "fontfamily" , "fontsize" , "fontweight" , "fontstyle" , "color" , "background" , "id" , "class" , "href" , "style" ] , skipAttributes : { texClass : 1 , useHeight : 1 , texprimestyle : 1 } , quoteHTML : function ( e ) { e = String ( e ) . split ( "" ) ; for ( var f = 0 , d = e . length ; f < d ; f ++ ) { var h = e [ f ] . charCodeAt ( 0 ) ; if ( h < 32 || h > 126 ) { e [ f ] = "&#x" + h . toString ( 16 ) . toUpperCase ( ) + ";" } else { var g = { "&" : "&" , "<" : "<" , ">" : ">" , '"' : """ } [ e [ f ] ] ; if ( g ) { e [ f ] = g } } } return e . join ( "" ) } } ) ; a . msubsup . Augment ( { toMathML : function ( h ) { var e = this . type ; if ( this . data [ this . sup ] == null ) { e = "msub" } if ( this . data [ this . sub ] == null ) { e = "msup" } var d = this . MathMLattributes ( ) ; delete this . data [ 0 ] . inferred ; var g = [ ] ; for ( var f = 0 , c = this . data . length ; f < c ; f ++ ) { if ( this . data [ f ] ) { g . push ( this . data [ f ] . toMathML ( h + " " ) ) } } return h + "<" + e + d + ">\n" + g . join ( "\n" ) + "\n" + h + "</" + e + ">" } } ) ; a . munderover . Augment ( { toMathML : function ( h ) { var e = this . type ; if ( this . data [ this . under ] == null ) { e = "mover" } if ( this . data [ this . over ] == null ) { e = "munder" } var d = this . MathMLattributes ( ) ; delete this . data [ 0 ] . inferred ; var g = [ ] ; for ( var f = 0 , c = this . data . length ; f < c ; f ++ ) { if ( this . data [ f ] ) { g . push ( this . data [ f ] . toMathML ( h + " " ) ) } } return h + "<" + e + d + ">\n" + g . join ( "\n" ) + "\n" + h + "</" + e + ">" } } ) ; a . TeXAtom . Augment ( { toMathML : function ( c ) { return c + "<mrow>\n" + this . data [ 0 ] . toMathML ( c + " " ) + "\n" + c + "</mrow>" } } ) ; a . chars . Augment ( { toMathML : function ( c ) { return ( c || "" ) + this . quoteHTML ( this . toString ( ) ) } } ) ; a . entity . Augment ( { toMathML : function ( c ) { return ( c || "" ) + "&" + this . data [ 0 ] + ";<!-- " + this . toString ( ) + " -->" } } ) ; a . xml . Augment ( { toMathML : function ( c ) { return ( c || "" ) + this . toString ( ) } } ) ; MathJax . Hub . Register . StartupHook ( "TeX mathchoice Ready" , function ( ) { a . TeXmathchoice . Augment ( { toMathML : function ( c ) { return this . Core ( ) . toMathML ( c ) } } ) } ) ; MathJax . Hub . Startup . signal . Post ( "toMathML Ready" ) } ) ; MathJax . Ajax . loadComplete ( "[MathJax]/extensions/toMathML.js" ) ;
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( 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" ) ;
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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" ) ;
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( function ( d ) { var c = true , f = false , i , h = String . fromCharCode ( 160 ) ; var e = MathJax . Object . Subclass ( { Init : function ( k ) { this . global = { } ; this . data = [ b . start ( ) . With ( { global : this . global } ) ] ; if ( k ) { this . data [ 0 ] . env = k } this . env = this . data [ 0 ] . env } , Push : function ( ) { var l , k , n , o ; for ( l = 0 , k = arguments . length ; l < k ; l ++ ) { n = arguments [ l ] ; if ( n instanceof i . mbase ) { n = b . mml ( n ) } n . global = this . global ; o = ( this . data . length ? this . Top ( ) . checkItem ( n ) : c ) ; if ( o instanceof Array ) { this . Pop ( ) ; this . Push . apply ( this , o ) } else { if ( o instanceof b ) { this . Pop ( ) ; this . Push ( o ) } else { if ( o ) { this . data . push ( n ) ; if ( n . env ) { for ( var p in this . env ) { if ( this . env . hasOwnProperty ( p ) ) { n . env [ p ] = this . env [ p ] } } this . env = n . env } else { n . env = this . env } } } } } } , Pop : function ( ) { var k = this . data . pop ( ) ; if ( ! k . isOpen ) { delete k . env } this . env = ( this . data . length ? this . Top ( ) . env : { } ) ; return k } , Top : function ( k ) { if ( k == null ) { k = 1 } if ( this . data . length < k ) { return null } return this . data [ this . data . length - k ] } , Prev : function ( k ) { var l = this . Top ( ) ; if ( k ) { return l . data [ l . data . length - 1 ] } else { return l . Pop ( ) } } , toString : function ( ) { return "stack[\n " + this . data . join ( "\n " ) + "\n]" } } ) ; var b = e . Item = MathJax . Object . Subclass ( { type : "base" , closeError : "Extra close brace or missing open brace" , rightError : "Missing \\left or extra \\right" , Init : function ( ) { if ( this . isOpen ) { this . env = { } } this . data = [ ] ; this . Push . apply ( this , arguments ) } , Push : function ( ) { this . data . push . apply ( this . data , arguments ) } , Pop : function ( ) { return this . data . pop ( ) } , mmlData : function ( k , l ) { if ( k == null ) { k = c } if ( this . data . length === 1 && ! l ) { return this . data [ 0 ] } return i . mrow . apply ( i , this . data ) . With ( ( k ? { inferred : c } : { } ) ) } , checkItem : function ( k ) { if ( k . type === "over" && this . isOpen ) { k . num = this . mmlData ( f ) ; this . data = [ ] } if ( k . type === "cell" && this . isOpen ) { d . Error ( "Misplaced " + k . name ) } if ( k . isClose && this [ k . type + "Error" ] ) { d . Error ( this [ k . type + "Error" ] ) } if ( ! k . isNotStack ) { return c } this . Push ( k . data [ 0 ] ) ; return f } , With : function ( k ) { for ( var l in k ) { if ( k . hasOwnProperty ( l ) ) { this [ l ] = k [ l ] } } return this } , toString : function ( ) { return this . type + "[" + this . data . join ( "; " ) + "]" } } ) ; b . start = b . Subclass ( { type : "start" , isOpen : c , checkItem : function ( k ) { if ( k . type === "stop" ) { return b . mml ( this . mmlData ( ) ) } return this . SUPER ( arguments ) . checkItem . call ( this , k ) } } ) ; b . stop = b . Subclass ( { type : "stop" , isClose : c } ) ; b . open = b . Subclass ( { type : "open" , isOpen : c , stopError : "Extra open brace or missing close brace" , checkItem : function ( l ) { if ( l . type === "close" ) { var k = this . mmlData ( ) ; return b . mml ( i . TeXAtom ( k ) ) } return this . SUPER ( arguments ) . checkItem . call ( this , l ) } } ) ; b . close = b . Subclass ( { type : "close" , isClose : c } ) ; b . subsup = b . Subclass ( { type : "subsup" , stopError : "Missing superscript or subscript argument" , checkItem : function ( l ) { var k = [ "" , "subscript" , "superscript" ] [ this . position ] ; if ( l . type === "open" || l . type === "left" ) { return c } if ( l . type === "mml" ) { this . data [ 0 ] . SetData ( this . position , l . data [ 0 ] ) ; return b . mml ( this . data [ 0 ] ) } if ( this . SUPER ( arguments ) . checkItem . call ( this , l ) ) { d . Error ( "Missing open brace for " + k ) } } , Pop : function ( ) { } } ) ; b . over = b . Subclass ( { type : "over" , isClose : c , name : "\\over" , checkItem : function ( m , k ) { if ( m . type === "over" ) { d . Error ( "Ambiguous use of " + m . name ) } if ( m . isClose ) { var l = i . mfrac ( this . num , this . mmlData ( f ) ) ; if ( this . thickness != null ) { l . linethickness = this . thickness } if ( this . open || this . close ) { l . texClass = i . TEXCLASS . INNER ; l . texWithDelims = c ; l = i . mfenced ( l ) . With ( { open : this . open , close : this . close } ) } return [ b . mml ( l ) , m ] } return this . SUPER ( arguments ) . checkItem . call ( this , m ) } , toString : function ( ) { return "over[" + this . num + " / " + this . data . join ( "; " ) + "]" } } ) ; b . left = b . Subclass ( { type : "left" , isOpen : c , delim : "(" , stopError : "Extra \\left or missing \\right" , checkItem : function ( l ) { if ( l . type === "right" ) { var k = i . mfenced ( this . data . length === 1 ? this . data [ 0 ] : i . mrow . apply ( i , this . data ) ) ; return b . mml ( k . With ( { open : this . delim , close : l . delim } ) ) } return this . SUPER ( arguments ) . checkItem . call ( this , l ) } } ) ; b . right = b . Subclass ( { type : "right" , isClose : c , delim : ")" } ) ; b . begin = b . Subclass ( { type : "begin" , isOpen : c , checkItem : function ( k ) { if ( k . type === "end" ) { if ( k . name !== this . name ) { d . Error ( "\\begin{" + this . name + "} ended with \\end{" + k . name + "}" ) } if ( ! this . end ) { return b . mml ( this . mmlData ( ) ) } return this . parse [ this . end ] . call ( this . parse , this , this . data ) } if ( k . type === "stop" ) { d . Error ( "Missing \\end{" + this . n
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MathJax . Hub . Register . StartupHook ( "TeX Jax Ready" , function ( ) { var e = "1.1" ; var a = MathJax . ElementJax . mml ; var f = MathJax . InputJax . TeX ; var c = f . Definitions ; var d = f . Stack . Item ; var b = function ( g ) { return g . join ( "em " ) + "em" } ; MathJax . Hub . Insert ( c , { macros : { mathring : [ "Accent" , "2DA" ] , nobreakspace : "Tilde" , negmedspace : [ "Spacer" , a . LENGTH . NEGATIVEMEDIUMMATHSPACE ] , negthickspace : [ "Spacer" , a . LENGTH . NEGATIVETHICKMATHSPACE ] , intI : [ "Macro" , "\\mathchoice{\\!}{}{}{}\\!\\!\\int" ] , iiiint : [ "MultiIntegral" , "\\int\\intI\\intI\\intI" ] , idotsint : [ "MultiIntegral" , "\\int\\cdots\\int" ] , dddot : [ "Macro" , "\\mathop{#1}\\limits^{\\textstyle \\mathord{.}\\mathord{.}\\mathord{.}}" , 1 ] , ddddot : [ "Macro" , "\\mathop{#1}\\limits^{\\textstyle \\mathord{.}\\mathord{.}\\mathord{.}\\mathord{.}}" , 1 ] , sideset : [ "Macro" , "\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}" , 3 ] , boxed : [ "Macro" , "\\fbox{$\\displaystyle{#1}$}" , 1 ] , tag : "HandleTag" , notag : "HandleNoTag" , substack : [ "Macro" , "\\begin{subarray}{c}#1\\end{subarray}" , 1 ] , injlim : [ "Macro" , "\\mathop{\\rm inj\\,lim}" ] , projlim : [ "Macro" , "\\mathop{\\rm proj\\,lim}" ] , varliminf : [ "Macro" , "\\mathop{\\underline{\\rm lim}}" ] , varlimsup : [ "Macro" , "\\mathop{\\overline{\\rm lim}}" ] , varinjlim : [ "Macro" , "\\mathop{\\underrightarrow{\\rm lim\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}" ] , varprojlim : [ "Macro" , "\\mathop{\\underleftarrow{\\rm lim\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}" ] , DeclareMathOperator : "HandleDeclareOp" , operatorname : "HandleOperatorName" , genfrac : "Genfrac" , frac : [ "Genfrac" , "" , "" , "" , "" ] , tfrac : [ "Genfrac" , "" , "" , "" , 1 ] , dfrac : [ "Genfrac" , "" , "" , "" , 0 ] , binom : [ "Genfrac" , "(" , ")" , "0em" , "" ] , tbinom : [ "Genfrac" , "(" , ")" , "0em" , 1 ] , dbinom : [ "Genfrac" , "(" , ")" , "0em" , 0 ] , cfrac : "CFrac" , shoveleft : [ "HandleShove" , a . ALIGN . LEFT ] , shoveright : [ "HandleShove" , a . ALIGN . RIGHT ] , xrightarrow : [ "xArrow" , 8594 , 5 , 6 ] , xleftarrow : [ "xArrow" , 8592 , 7 , 3 ] } , environment : { align : [ "AMSarray" , null , true , true , "rlrlrlrlrlrl" , b ( [ 5 / 18 , 2 , 5 / 18 , 2 , 5 / 18 , 2 , 5 / 18 , 2 , 5 / 18 , 2 , 5 / 18 ] ) ] , "align*" : [ "AMSarray" , null , false , true , "rlrlrlrlrlrl" , b ( [ 5 / 18 , 2 , 5 / 18 , 2 , 5 / 18 , 2 , 5 / 18 , 2 , 5 / 18 , 2 , 5 / 18 ] ) ] , multline : [ "Multline" , null , true ] , "multline*" : [ "Multline" , null , false ] , split : [ "AMSarray" , null , false , false , "rl" , b ( [ 5 / 18 ] ) ] , gather : [ "AMSarray" , null , true , true , "c" ] , "gather*" : [ "AMSarray" , null , false , true , "c" ] , alignat : [ "AlignAt" , null , true , true ] , "alignat*" : [ "AlignAt" , null , false , true ] , alignedat : [ "AlignAt" , null , false , false ] , aligned : [ "Array" , null , null , null , "rlrlrlrlrlrl" , b ( [ 5 / 18 , 2 , 5 / 18 , 2 , 5 / 18 , 2 , 5 / 18 , 2 , 5 / 18 , 2 , 5 / 18 ] ) , ".5em" , "D" ] , gathered : [ "Array" , null , null , null , "c" , null , ".5em" , "D" ] , subarray : [ "Array" , null , null , null , null , b ( [ 0 , 0 , 0 , 0 ] ) , "0.1em" , "S" , 1 ] , smallmatrix : [ "Array" , null , null , null , "c" , b ( [ 1 / 3 ] ) , ".2em" , "S" , 1 ] } , delimiter : { "\\lvert" : [ "2223" , { texClass : a . TEXCLASS . OPEN } ] , "\\rvert" : [ "2223" , { texClass : a . TEXCLASS . CLOSE } ] , "\\lVert" : [ "2225" , { texClass : a . TEXCLASS . OPEN } ] , "\\rVert" : [ "2225" , { texClass : a . TEXCLASS . CLOSE } ] } } ) ; f . Parse . Augment ( { HandleTag : function ( h ) { var g = this . trimSpaces ( this . GetArgument ( h ) ) ; if ( g === "*" ) { g = this . GetArgument ( h ) } else { g = "(" + g + ")" } if ( this . stack . global . notag ) { f . Error ( h + " not allowed in " + this . stack . global . notag + " environment" ) } if ( this . stack . global . tag ) { f . Error ( "Multiple " + h ) } this . stack . global . tag = a . mtd . apply ( a , this . InternalMath ( g ) ) } , HandleNoTag : function ( g ) { if ( this . stack . global . tag ) { delete this . stack . global . tag } } , HandleDeclareOp : function ( h ) { var g = "" ; var i = this . trimSpaces ( this . GetArgument ( h ) ) ; if ( i == "*" ) { g = "\\limits" ; i = this . trimSpaces ( this . GetArgument ( h ) ) } if ( i . charAt ( 0 ) == "\\" ) { i = i . substr ( 1 ) } var j = this . GetArgument ( h ) ; j = j . replace ( /\*/g , "\\text{*}" ) . replace ( /-/g , "\\text{-}" ) ; f . Definitions . macros [ i ] = [ "Macro" , "\\mathop{\\rm " + j + "}" + g ] } , HandleOperatorName : function ( h ) { var g = "\\nolimits" ; var i = this . trimSpaces ( this . GetArgument ( h ) ) ; if ( i == "*" ) { g = "\\limits" ; i = this . trimSpaces ( this . GetArgument ( h ) ) } i = i . replace ( /\*/g , "\\text{*}" ) . replace ( /-/g , "\\text{-}" ) ; this . string = "\\mathop{\\rm " + i + "}" + g + " " + this . string . slice ( this . i ) ; this . i = 0 } , HandleShove : function ( h , g ) { var i = this . stack . Top ( ) ; if ( i . type !== "multline" || i . data . length ) { f . Error ( h + " must come at the beginning of the line" ) } i . data . shove = g } , CFrac : function ( j ) { var g = this . trimSpaces ( this . GetBracket
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2011-06-03 09:03:06 +02:00
MathJax . Hub . Register . StartupHook ( "TeX Jax Ready" , function ( ) { var b = "1.1.1" ; var a = MathJax . ElementJax . mml ; MathJax . Hub . Insert ( MathJax . InputJax . TeX . Definitions , { mathchar0mi : { digamma : "03DD" , varkappa : "03F0" , varGamma : [ "0393" , { mathvariant : a . VARIANT . ITALIC } ] , varDelta : [ "0394" , { mathvariant : a . VARIANT . ITALIC } ] , varTheta : [ "0398" , { mathvariant : a . VARIANT . ITALIC } ] , varLambda : [ "039B" , { mathvariant : a . VARIANT . ITALIC } ] , varXi : [ "039E" , { mathvariant : a . VARIANT . ITALIC } ] , varPi : [ "03A0" , { mathvariant : a . VARIANT . ITALIC } ] , varSigma : [ "03A3" , { mathvariant : a . VARIANT . ITALIC } ] , varUpsilon : [ "03A5" , { mathvariant : a . VARIANT . ITALIC } ] , varPhi : [ "03A6" , { mathvariant : a . VARIANT . ITALIC } ] , varPsi : [ "03A8" , { mathvariant : a . VARIANT . ITALIC } ] , varOmega : [ "03A9" , { mathvariant : a . VARIANT . ITALIC } ] , beth : "2136" , gimel : "2137" , daleth : "2138" , backprime : [ "2035" , { variantForm : true } ] , hslash : [ "210F" , { variantForm : true } ] , varnothing : [ "2205" , { variantForm : true } ] , blacktriangle : "25B2" , triangledown : "25BD" , blacktriangledown : "25BC" , square : "25A1" , Box : "25A1" , blacksquare : "25A0" , lozenge : "25CA" , Diamond : "25CA" , blacklozenge : "29EB" , circledS : [ "24C8" , { mathvariant : a . VARIANT . NORMAL } ] , bigstar : "2605" , sphericalangle : "2222" , measuredangle : "2221" , nexists : "2204" , complement : "2201" , mho : "2127" , eth : [ "00F0" , { mathvariant : a . VARIANT . NORMAL } ] , Finv : "2132" , diagup : "2571" , Game : "2141" , diagdown : "2572" , Bbbk : [ "006B" , { mathvariant : a . VARIANT . DOUBLESTRUCK } ] , yen : "00A5" , circledR : "00AE" , checkmark : "2713" , maltese : "2720" } , mathchar0mo : { dotplus : "2214" , ltimes : "22C9" , smallsetminus : [ "2216" , { variantForm : true } ] , rtimes : "22CA" , Cap : "22D2" , doublecap : "22D2" , leftthreetimes : "22CB" , Cup : "22D3" , doublecup : "22D3" , rightthreetimes : "22CC" , barwedge : "22BC" , curlywedge : "22CF" , veebar : "22BB" , curlyvee : "22CE" , doublebarwedge : "2A5E" , boxminus : "229F" , circleddash : "229D" , boxtimes : "22A0" , circledast : "229B" , boxdot : "22A1" , circledcirc : "229A" , boxplus : "229E" , centerdot : "22C5" , divideontimes : "22C7" , intercal : "22BA" , leqq : "2266" , geqq : "2267" , leqslant : "2A7D" , geqslant : "2A7E" , eqslantless : "2A95" , eqslantgtr : "2A96" , lesssim : "2272" , gtrsim : "2273" , lessapprox : "2A85" , gtrapprox : "2A86" , approxeq : "224A" , lessdot : "22D6" , gtrdot : "22D7" , lll : "22D8" , llless : "22D8" , ggg : "22D9" , gggtr : "22D9" , lessgtr : "2276" , gtrless : "2277" , lesseqgtr : "22DA" , gtreqless : "22DB" , lesseqqgtr : "2A8B" , gtreqqless : "2A8C" , doteqdot : "2251" , Doteq : "2251" , eqcirc : "2256" , risingdotseq : "2253" , circeq : "2257" , fallingdotseq : "2252" , triangleq : "225C" , backsim : "223D" , thicksim : [ "223C" , { variantForm : true } ] , backsimeq : "22CD" , thickapprox : "2248" , subseteqq : "2AC5" , supseteqq : "2AC6" , Subset : "22D0" , Supset : "22D1" , sqsubset : "228F" , sqsupset : "2290" , preccurlyeq : "227C" , succcurlyeq : "227D" , curlyeqprec : "22DE" , curlyeqsucc : "22DF" , precsim : "227E" , succsim : "227F" , precapprox : "2AB7" , succapprox : "2AB8" , vartriangleleft : "22B2" , lhd : "22B2" , vartriangleright : "22B3" , rhd : "22B3" , trianglelefteq : "22B4" , unlhd : "22B4" , trianglerighteq : "22B5" , unrhd : "22B5" , vDash : "22A8" , Vdash : "22A9" , Vvdash : "22AA" , smallsmile : "2323" , shortmid : [ "2223" , { variantForm : true } ] , smallfrown : "2322" , shortparallel : [ "2225" , { variantForm : true } ] , bumpeq : "224F" , between : "226C" , Bumpeq : "224E" , pitchfork : "22D4" , varpropto : "221D" , backepsilon : "220D" , blacktriangleleft : "25C0" , blacktriangleright : "25B6" , therefore : "2234" , because : "2235" , eqsim : "2242" , vartriangle : [ "25B3" , { variantForm : true } ] , Join : "22C8" , nless : "226E" , ngtr : "226F" , nleq : "2270" , ngeq : "2271" , nleqslant : [ "2A87" , { variantForm : true } ] , ngeqslant : [ "2A88" , { variantForm : true } ] , nleqq : [ "2270" , { variantForm : true } ] , ngeqq : [ "2271" , { variantForm : true } ] , lneq : "2A87" , gneq : "2A88" , lneqq : "2268" , gneqq : "2269" , lvertneqq : [ "2268" , { variantForm : true } ] , gvertneqq : [ "2269" , { variantForm : true } ] , lnsim : "22E6" , gnsim : "22E7" , lnapprox : "2A89" , gnapprox : "2A8A" , nprec : "2280" , nsucc : "2281" , npreceq : [ "22E0" , { variantForm : true } ] , nsucceq : [ "22E1" , { variantForm : true } ] , precneqq : "2AB5" , succneqq : "2AB6" , precnsim : "22E8" , succnsim : "22E9" , precnapprox : "2AB9" , succnapprox : "2ABA" , nsim : "2241" , ncong : "2246" , nshortmid : [ "2224" , { variantForm : true } ] , nshortparallel : [ "2226" , { variantForm : true } ] , nmid : "2224" , nparallel : "2226" , nvdash : "22AC" , nvDash : "22AD" , nVdash : "22AE" , nVDash : "22AF" , ntriangleleft : "22EA" , ntriangleright : "22EB" , ntrianglelefteq : "22EC" , ntrianglerighteq : "22ED" , nsubseteq : "2288" , nsupseteq : "2289" , nsubseteqq : [ " 22
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MathJax . Ajax . loadComplete ( "[MathJax]/config/TeX-AMS_HTML.js" ) ;
