MathJax.Hub.Config({delayJaxRegistration:!0}),MathJax.Ajax.Preloading("[MathJax]/jax/input/TeX/config.js","[MathJax]/jax/input/MathML/config.js","[MathJax]/jax/output/HTML-CSS/config.js","[MathJax]/jax/output/NativeMML/config.js","[MathJax]/jax/output/PreviewHTML/config.js","[MathJax]/config/MMLorHTML.js","[MathJax]/extensions/tex2jax.js","[MathJax]/extensions/mml2jax.js","[MathJax]/extensions/MathEvents.js","[MathJax]/extensions/MathZoom.js","[MathJax]/extensions/MathMenu.js","[MathJax]/jax/element/mml/jax.js","[MathJax]/extensions/toMathML.js","[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","[MathJax]/jax/input/MathML/jax.js","[MathJax]/jax/output/NativeMML/jax.js","[MathJax]/jax/output/HTML-CSS/jax.js","[MathJax]/jax/output/HTML-CSS/autoload/mtable.js","[MathJax]/jax/output/PreviewHTML/jax.js","[MathJax]/extensions/fast-preview.js","[MathJax]/extensions/AssistiveMML.js","[MathJax]/extensions/a11y/accessibility-menu.js"),MathJax.Hub.Config({menuSettings:{zoom:"Double-Click",mpContext:!0,mpMouse:!0},errorSettings:{message:["[",["MathError","Math 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e=this.ParseUpTo(t,"\\over"),a=this.ParseArg(t);this.Push(i.TeXAtom(i.munderover(a,null,e)).With({texClass:i.TEXCLASS.REL}))},HBox:function(t,e){this.Push.apply(this,this.InternalMath(this.GetArgument(t),e))},FBox:function(t){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(t))).With({notation:"box"}))},Not:function(t){this.Push(o.not())},Dots:function(t){this.Push(o.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:!1})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:!1}))}))},Require:function(t){var e=this.GetArgument(t).replace(/.*\//,"").replace(/[^a-z0-9_.-]/gi,"");this.Extension(null,e)},Extension:function(i,s,n){(s=t.extensionDir+"/"+s).match(/\.js$/)||(s+=".js"),a.loaded[a.fileURL(s)]||(null!=i&&delete l[n||"macros"][i.replace(/^\\/,"")],e.RestartAfter(a.Require(s)))},Macro:function(e,a,i,s){if(i){var n=[];if(null!=s){var r=this.GetBrackets(e);n.push(null==r?s:r)}for(var o=n.length;o<i;o++)n.push(this.GetArgument(e));a=this.SubstituteArgs(n,a)}this.string=this.AddArgs(a,this.string.slice(this.i)),this.i=0,++this.macroCount>t.config.MAXMACROS&&t.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])},Matrix:function(e,a,i,s,n,r,l,h,d){var c=this.GetNext();""===c&&t.Error(["MissingArgFor","Missing argument for %1",e]),"{"===c?this.i++:(this.string=c+"}"+this.string.slice(this.i+1),this.i=0);var u=o.array().With({requireClose:!0,arraydef:{rowspacing:r||"4pt",columnspacing:n||"1em"}});h&&(u.isCases=!0),d&&(u.isNumbered=!0,u.arraydef.side=d),(a||i)&&(u.open=a,u.close=i),"D"===l&&(u.arraydef.displaystyle=!0),null!=s&&(u.arraydef.columnalign=s),this.Push(u)},Entry:function(e){if(this.Push(o.cell().With({isEntry:!0,name:e})),this.stack.Top().isCases){for(var a=this.string,i=0,s=-1,n=this.i,r=a.length;n<r;){var 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this.string.charAt(this.i).match(/\s/)},GetNext:function(){for(;this.nextIsSpace();)this.i++;return this.string.charAt(this.i)},GetCS:function(){var t=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);return t?(this.i+=t[1].length,t[1]):(this.i++," ")},GetArgument:function(e,a){switch(this.GetNext()){case"":return a||t.Error(["MissingArgFor","Missing argument for %1",e]),null;case"}":return a||t.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"]),null;case"\\":return this.i++,"\\"+this.GetCS();case"{":for(var i=++this.i,s=1;this.i<this.string.length;)switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":s++;break;case"}":if(0==--s)return this.string.slice(i,this.i-1)}t.Error(["MissingCloseBrace","Missing close brace"])}return this.string.charAt(this.i++)},GetBrackets:function(e,a){if("["!=this.GetNext())return a;for(var 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Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax."))},Startup:function(){(a=MathJax.ElementJax.mml).mspace.Augment({mmlSelfClosing:!0}),a.none.Augment({mmlSelfClosing:!0}),a.mprescripts.Augment({mmlSelfClosing:!0}),a.maligngroup.Augment({mmlSelfClosing:!0}),a.malignmark.Augment({mmlSelfClosing:!0})}}),t.prefilterHooks.Add((function(e){e.math="string"==typeof e.math?t.prefilterMath(e.math,e.script):t.prefilterMathML(e.math,e.script)})),t.Parse.Entity={ApplyFunction:"⁡",Backslash:"∖",Because:"∵",Breve:"˘",Cap:"⋒",CenterDot:"·",CircleDot:"⊙",CircleMinus:"⊖",CirclePlus:"⊕",CircleTimes:"⊗",Congruent:"≡",ContourIntegral:"∮",Coproduct:"∐",Cross:"⨯",Cup:"⋓",CupCap:"≍",Dagger:"‡",Del:"∇",Delta:"Δ",Diamond:"⋄",DifferentialD:"ⅆ",DotEqual:"≐",DoubleDot:"¨",DoubleRightTee:"⊨",DoubleVerticalBar:"∥",DownArrow:"↓",DownLeftVector:"↽",DownRightVector:"⇁",DownTee:"⊤",Downarrow:"⇓",Element:"∈",EqualTilde:"≂",Equilibrium:"⇌",Exists:"∃",ExponentialE:"ⅇ",FilledVerySmallSquare:"▪",ForAll:"∀",Gamma:"Γ",Gg:"⋙",GreaterEqual:"≥",GreaterEqualLess:"⋛",GreaterFullEqual:"≧",GreaterLess:"≷",GreaterSlantEqual:"⩾",GreaterTilde:"≳",Hacek:"ˇ",Hat:"^",HumpDownHump:"≎",HumpEqual:"≏",Im:"ℑ",ImaginaryI:"ⅈ",Integral:"∫",Intersection:"⋂",InvisibleComma:"⁣",InvisibleTimes:"⁢",Lambda:"Λ",Larr:"↞",LeftAngleBracket:"⟨",LeftArrow:"←",LeftArrowRightArrow:"⇆",LeftCeiling:"⌈",LeftDownVector:"⇃",LeftFloor:"⌊",LeftRightArrow:"↔",LeftTee:"⊣",LeftTriangle:"⊲",LeftTriangleEqual:"⊴",LeftUpVector:"↿",LeftVector:"↼",Leftarrow:"⇐",Leftrightarrow:"⇔",LessEqualGreater:"⋚",LessFullEqual:"≦",LessGreater:"≶",LessSlantEqual:"⩽",LessTilde:"≲",Ll:"⋘",Lleftarrow:"⇚",LongLeftArrow:"⟵",LongLeftRightArrow:"⟷",LongRightArrow:"⟶",Longleftarrow:"⟸",Longleftrightarrow:"⟺",Longrightarrow:"⟹",Lsh:"↰",MinusPlus:"∓",NestedGreaterGreater:"≫",NestedLessLess:"≪",NotDoubleVerticalBar:"∦",NotElement:"∉",NotEqual:"≠",NotExists:"∄",NotGreater:"≯",NotGreaterEqual:"≱",NotLeftTriangle:"⋪",NotLeftTriangleEqual:"⋬",NotLess:"≮",NotLessEqual:"≰",NotPrecedes:"⊀",NotPrecedesSlantEqual:"⋠",NotRightTriangle:"⋫",NotRightTriangleEqual:"⋭",NotSubsetEqual:"⊈",NotSucceeds:"⊁",NotSucceedsSlantEqual:"⋡",NotSupersetEqual:"⊉",NotTilde:"≁",NotVerticalBar:"∤",Omega:"Ω",OverBar:"‾",OverBrace:"⏞",PartialD:"∂",Phi:"Φ",Pi:"Π",PlusMinus:"±",Precedes:"≺",PrecedesEqual:"⪯",PrecedesSlantEqual:"≼",PrecedesTilde:"≾",Product:"∏",Proportional:"∝",Psi:"Ψ",Rarr:"↠",Re:"ℜ",ReverseEquilibrium:"⇋",RightAngleBracket:"⟩",RightArrow:"→",RightArrowLeftArrow:"⇄",RightCeiling:"⌉",RightDownVector:"⇂",RightFloor:"⌋",RightTee:"⊢",RightTeeArrow:"↦",RightTriangle:"⊳",RightTriangleEqual:"⊵",RightUpVector:"↾",RightVector:"⇀",Rightarrow:"⇒",Rrightarrow:"⇛",Rsh:"↱",Sigma:"Σ",SmallCircle:"∘",Sqrt:"√",Square:"□",SquareIntersection:"⊓",SquareSubset:"⊏",SquareSubsetEqual:"⊑",SquareSuperset:"⊐",SquareSupersetEqual:"⊒",SquareUnion:"⊔",Star:"⋆",Subset:"⋐",SubsetEqual:"⊆",Succeeds:"≻",SucceedsEqual:"⪰",SucceedsSlantEqual:"≽",SucceedsTilde:"≿",SuchThat:"∋",Sum:"∑",Superset:"⊃",SupersetEqual:"⊇",Supset:"⋑",Therefore:"∴",Theta:"Θ",Tilde:"∼",TildeEqual:"≃",TildeFullEqual:"≅",TildeTilde:"≈",UnderBar:"_",UnderBrace:"⏟",Union:"⋃",UnionPlus:"⊎",UpArrow:"↑",UpDownArrow:"↕",UpTee:"⊥",Uparrow:"⇑",Updownarrow:"⇕",Upsilon:"Υ",Vdash:"⊩",Vee:"⋁",VerticalBar:"∣",VerticalTilde:"≀",Vvdash:"⊪",Wedge:"⋀",Xi:"Ξ",acute:"´",aleph:"ℵ",alpha:"α",amalg:"⨿",and:"∧",ang:"∠",angmsd:"∡",angsph:"∢",ape:"≊",backprime:"‵",backsim:"∽",backsimeq:"⋍",beta:"β",beth:"ℶ",between:"≬",bigcirc:"◯",bigodot:"⨀",bigoplus:"⨁",bigotimes:"⨂",bigsqcup:"⨆",bigstar:"★",bigtriangledown:"▽",bigtriangleup:"△",biguplus:"⨄",blacklozenge:"⧫",blacktriangle:"▴",blacktriangledown:"▾",blacktriangleleft:"◂",bowtie:"⋈",boxdl:"┐",boxdr:"┌",boxminus:"⊟",boxplus:"⊞",boxtimes:"⊠",boxul:"┘",boxur:"└",bsol:"\\",bull:"•",cap:"∩",check:"✓",chi:"χ",circ:"ˆ",circeq:"≗",circlearrowleft:"↺",circlearrowright:"↻",circledR:"®",circledS:"Ⓢ",circledast:"⊛",circledcirc:"⊚",circleddash:"⊝",clubs:"♣",colon:":",comp:"∁",ctdot:"⋯",cuepr:"⋞",cuesc:"⋟",cularr:"↶",cup:"∪",curarr:"↷",curlyvee:"⋎",curlywedge:"⋏",dagger:"†",daleth:"ℸ",ddarr:"⇊",deg:"°",delta:"δ",digamma:"ϝ",div:"÷",divideontimes:"⋇",dot:"˙",doteqdot:"≑",dotplus:"∔",dotsquare:"⊡",dtdot:"⋱",ecir:"≖",efDot:"≒",egs:"⪖",ell:"ℓ",els:"⪕",empty:"∅",epsi:"ε",epsiv:"ϵ",erDot:"≓",eta:"η",eth:"ð",flat:"♭",fork:"⋔",frown:"⌢",gEl:"⪌",gamma:"γ",gap:"⪆",gimel:"ℷ",gnE:"≩",gnap:"⪊",gne:"⪈",gnsim:"⋧",gt:">",gtdot:"⋗",harrw:"↭",hbar:"ℏ",hellip:"…",hookleftarrow:"↩",hookrightarrow:"↪",imath:"ı",infin:"∞",intcal:"⊺",iota:"ι",jmath:"ȷ",kappa:"κ",kappav:"ϰ",lEg:"⪋",lambda:"λ",lap:"⪅",larrlp:"↫",larrtl:"↢",lbrace:"{",lbrack:"[",le:"≤",leftleftarrows:"⇇",leftthreetimes:"⋋",lessdot:"⋖",lmoust:"⎰",lnE:"≨",lnap:"⪉",lne:"⪇",lnsim:"⋦",longmapsto:"⟼",looparrowright:"↬",lowast:"∗",loz:"◊",lt:"<",ltimes:"⋉",ltri:"◃",macr:"¯",malt:"✠",mho:"℧",mu:"μ",multimap:"⊸",nLeftarrow:"⇍",nLeftrightarrow:"⇎",nRightarrow:"⇏",nVDash:"⊯",nVdash:"⊮",natur:"♮",nearr:"↗",nharr:"↮",nlarr:"↚",not:"¬",nrarr:"↛",nu:"ν",nvDash:"⊭",nvdash:"⊬",nwarr:"↖",omega:"ω",omicron:"ο",or:"∨",osol:"⊘",period:".",phi:"φ",phiv:"ϕ",pi:"π",piv:"ϖ",prap:"⪷",precnapprox:"⪹",precneqq:"⪵",precnsim:"⋨",prime:"′",psi:"ψ",rarrtl:"↣",rbrace:"}",rbrack:"]",rho:"ρ",rhov:"ϱ",rightrightarrows:"⇉",rightthreetimes:"⋌",ring:"˚",rmoust:"⎱",rtimes:"⋊",rtri:"▹",scap:"⪸",scnE:"⪶",scnap:"⪺",scnsim:"⋩",sdot:"⋅",searr:"↘",sect:"§",sharp:"♯",sigma:"σ",sigmav:"ς",simne:"≆",smile:"⌣",spades:"♠",sub:"⊂",subE:"⫅",subnE:"⫋",subne:"⊊",supE:"⫆",supnE:"⫌",supne:"⊋",swarr:"↙",tau:"τ",theta:"θ",thetav:"ϑ",tilde:"˜",times:"×",triangle:"▵",triangleq:"≜",upsi:"υ",upuparrows:"⇈",veebar:"⊻",vellip:"⋮",weierp:"℘",xi:"ξ",yen:"¥",zeta:"ζ",zigrarr:"⇝"},t.loadComplete("jax.js")}(MathJax.InputJax.MathML,MathJax.Hub.Browser),function(t,e,a,i){var s,n,r,o,l,h=e.Browser.isMSIE;e.Register.StartupHook("MathZoom Ready",(function(){l=MathJax.Extension.MathZoom}));var d=function(t,e){var a=i.Element("span");t="padding"+t,e&&(a.style.cssText=e.getAttribute("style")||"",""===a.style.padding&&""===(a.style[t]||"")&&(a.style[t]="0px",e.setAttribute("style",a.style.cssText)))},c=function(t,e,a){if(t){var s=i.Element("span");if(s.style.cssText=t.getAttribute("style")||"",""===s.style.padding){var n={paddingLeft:a,paddingTop:e,paddingRight:"0px",paddingBottom:"0px"};for(var r in n)n.hasOwnProperty(r)&&""===(s.style[r]||"")&&(s.style[r]=n[r])}t.setAttribute("style",s.style.cssText)}};t.Augment({config:{styles:{".MathJax_MathML":{"font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap",float:"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,padding:0,margin:0},"span.MathJax_MathML":{display:"inline!important"},"div.MathJax_MathML":{display:"block!important"},".MathJax_mmlExBox":{display:"block!important",overflow:"hidden",height:"1px",width:"60ex","min-height":0,"max-height":"none",padding:0,border:0,margin:0}}},handlesVariants:!1,settings:e.config.menuSettings,ex:1,scale:1,adjustWidths:[],Config:function(){if(this.SUPER(arguments).Config.call(this),this.settings.scale&&(this.config.scale=this.settings.scale),"center"!==e.config.displayAlign){var t=e.config.displayAlign,a=e.config.displayIndent,i={"text-align":t+"!important"};i["margin-"+t]=a+"!important",e.Insert(this.config.styles,{"div.MathJax_MathML":i,"div.MathJax_MathML math":{"text-align":t},"div.MathJax_MathContainer > span":{"text-align":t+"!important"}})}this.require||(this.require=[]),this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){return n=MathJax.Extension.MathEvents.Event,r=MathJax.Extension.MathEvents.Touch,o=MathJax.Extension.MathEvents.Hover,this.ContextMenu=n.ContextMenu,this.Mousedown=n.AltContextMenu,this.Mouseover=o.Mouseover,this.Mouseout=o.Mouseout,this.Mousemove=o.Mousemove,e.Browser.hasMathPlayer||(this.EmExSpan=i.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["div",{className:"MathJax_mmlExBox"}],["span",{className:"MathJax_MathML"}]]),s.math(s.mspace().With({width:"60ex"})).toNativeMML(this.EmExSpan.lastChild)),a.Styles(this.config.styles)},InitializeMML:function(){if(this.initialized=!0,e.Browser.hasMathPlayer)try{if(!e.Browser.mpNamespace){var t=document.createElement("object");t.id="mathplayer",t.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987",document.getElementsByTagName("head")[0].appendChild(t),document.namespaces.add("m","http://www.w3.org/1998/Math/MathML"),e.Browser.mpNamespace=!0}e.Browser.mpImported||(document.namespaces.m.doImport("#mathplayer"),e.Browser.mpImported=!0)}catch(t){this.config.noMathPlayerWarning||alert(MathJax.Localization._(["MathML","MathPlayer"],"MathJax was not able to set up MathPlayer.\n\nIf MathPlayer is not installed, you need to install it first.\nOtherwise, your security settings may be preventing ActiveX     \ncontrols from running.  Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. Check that the settings for\n'Run ActiveX Controls', and 'Binary and script behaviors'\nare enabled.\n\nCurrently you will see error messages rather than\ntypeset mathematics."))}else document.body.appendChild(this.EmExSpan),this.defaultEx=this.EmExSpan.firstChild.offsetWidth/60,this.defaultMEx=this.EmExSpan.lastChild.offsetWidth/60,document.body.removeChild(this.EmExSpan)},preTranslate:function(t){var e,a,s,n,r,o,l,d,c,u,m=t.jax[this.id],p=m.length;for(e=0;e<p;e++)if((a=m[e]).parentNode&&(this.initialized||this.InitializeMML(),(s=a.previousSibling)&&"MathJax_MathML"===s.className&&s.parentNode.removeChild(s),l=a.MathJax.elementJax)){o=l.root,l.NativeMML={};var f="block"===o.Get("display")?"div":"span";n=i.Element(f,{className:"MathJax_MathML",id:l.inputID+"-Frame"},[["span",{className:"MathJax_MathContainer",isMathJax:!0,jaxID:this.id,style:{position:"relative",display:"inline-block","white-space":"nowrap"}},[["span",{isMathJax:!0,style:{display:"inline-block"}}]]]]),a.parentNode.insertBefore(n,a),h||a.parentNode.insertBefore(this.EmExSpan.cloneNode(!0),a)}for(e=0;e<p;e++)(a=m[e]).parentNode&&(l=a.MathJax.elementJax)&&(h?u=100:(d=(r=a.previousSibling).firstChild.offsetWidth/60,c=r.lastChild.offsetWidth/60,0!==d&&"NaN"!==d||(d=this.defaultEx,c=this.defaultMEx),u=this.config.matchFontHeight&&c>1?d/c:1,u=Math.floor(Math.max(this.config.minScaleAdjust/100,u)*this.config.scale),l.NativeMML.ex=d,l.NativeMML.mex=c),l.NativeMML.fontSize=u+"%",l.NativeMML.scale=u/100);if(!h)for(e=0;e<p;e++)(a=m[e]).parentNode&&a.MathJax.elementJax&&a.parentNode.removeChild(a.previousSibling)},Translate:function(t){if(t.parentNode){var a=t.MathJax.elementJax,i=a.root,s=document.getElementById(a.inputID+"-Frame");if(s){var o=s.firstChild,l=o.firstChild;this.ex=a.NativeMML.ex||this.defaultEx,this.scale=a.NativeMML.scale||1,1!==this.scale&&(s.style.fontSize=a.NativeMML.fontSize);try{i.toNativeMML(l,a)}catch(t){if(t.restart)for(;l.firstChild;)l.removeChild(l.firstChild);throw t}if(h)if(o.addEventListener)for(var d in this.MSIE9events)this.MSIE9events.hasOwnProperty(d)&&o.addEventListener(d,this.MSIE9event,!0);else!(null!=this.config.showMathMenuMSIE?this:e).config.showMathMenuMSIE||this.settings.mpContext||this.settings.mpMouse?(o.style.position="",l.firstChild.onmousedown=this.MSIEaltMenu):this.MSIEoverlay(o);else o.oncontextmenu=n.Menu,o.onmouseover=n.Mouseover,o.onmouseout=n.Mouseout,o.onmousedown=n.Mousedown,o.onclick=n.Click,o.ondblclick=n.DblClick,o.onkeydown=n.Keydown,o.tabIndex=e.getTabOrder(a),e.Browser.noContextMenu&&(o.ontouchstart=r.start,o.ontouchend=r.end)}}},postTranslate:function(t){if(this.forceReflow){var e=(document.styleSheets||[])[0]||{};e.disabled=!0,e.disabled=!1}},Remove:function(t){var e=t.SourceElement();e&&(e=e.previousSibling)&&e.className.match(/MathJax_MathML/)&&e.parentNode.removeChild(e)},MMLnamespace:"http://www.w3.org/1998/Math/MathML",isFullWidth:function(t){if(t){var e=t.getAttribute("width")||(String(t.getAttribute("style")).match(/(?:^| )width: *([^; ]*)/)||[])[1];if(e)return!!e.match(/%/);if(t.nodeName.match(/^(semantics|math|mstyle)$/))e=this.isFullWidth(t.firstChild);else if("mrow"===t.nodeName.toLowerCase())for(var a=0,i=t.childNodes.length;a<i&&!e;a++)e=this.isFullWidth(t.childNodes[a]);if(e){var s="width:100%; "+(t.getAttribute("style")||"");t.setAttribute("style",s.replace(/ +$/,""))}return e}},MSIEoverlay:function(t){var a=t.firstChild;"span"===a.nodeName.toLowerCase()&&(a=a.firstChild);var s=this.getHoverBBox(null,a,{});i.addElement(t,"span",{style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{isMathJax:!0,className:"MathJax_MathPlayer_Overlay",style:{display:"inline-block",position:"absolute",left:o.Px(-s.w),top:o.Px(-s.h-(s.y||0)-1),width:o.Px(s.w),height:o.Px(s.h+s.d),cursor:"pointer","background-color":"white",filter:"alpha(opacity=0)"}}]]),e.Insert(t,{msieMath:a,onmousedown:this.MSIEevent,oncontextmenu:this.MSIEevent,onclick:this.MSIEevent,onmouseup:this.MSIEevent,onmousemove:this.MSIEevent,ondblclick:this.MSIEevent,onmouseover:this.MSIEevent,onmouseout:this.MSIEevent})},MSIEevents:{mousedown:"Mousedown",contextmenu:"ContextMenu",click:"Click",mouseup:"Mouseup",mousemove:"Mousemove",dblclick:"DblClick",mouseover:"Mouseover",mouseout:"Mouseout"},MSIEevent:function(){var e=window.event,a=t.MSIEevents[e.type];return(!t[a]||!1!==t[a](e,this))&&(!l||!1!==l.HandleEvent(e,a,this))&&("MathJax_MathPlayer_Overlay"===e.srcElement.className&&this.msieMath.fireEvent&&("ContextMenu"!==a&&"Mouseover"!==a&&"Mouseout"!==a||this.msieMath.fireEvent("on"+e.type,e)),n.False(e))},MSIEaltMenu:function(){for(var t=this.parentNode.parentNode;!t.jaxID;)t=t.parentNode;n.AltContextMenu(window.event,t)},MSIE9events:{contextmenu:"Menu",click:"Click",dblclick:"DblClick",mouseup:"False",mouseover:"Mouseover",mouseout:"Mouseout"},MSIE9event:function(e){if("contextmenu"===e.type&&t.settings.mpContext)return!0;if("mouseup"===e.type&&t.settings.mpMouse)return!0;if("click"===e.type&&t.settings.mpContext)return n.AltContextMenu(e,this);var a=t.MSIE9events[e.type];return n[a].call(this,e)},getJaxFromMath:function(t){t=t.parentNode;do{t=t.nextSibling}while(t&&"script"!==t.nodeName.toLowerCase());return e.getJaxFor(t)},getHoverSpan:function(t,e){return e.firstChild},getHoverBBox:function(t,e,a){return n.getBBox(e.parentNode)},Zoom:function(e,a,i,s,r){e.root.toNativeMML(a),this.msieIE8HeightBug&&(a.style.position="absolute"),t.widthBug&&(a.style.width=a.parentNode.style.width=""),a.parentNode.style.width.match(/%$/)&&(a.parentNode.style.minWidth=Math.ceil(3*r/4)+"px");var o=i.offsetWidth||i.scrollWidth,l=i.offsetHeight||i.scrollHeight,h=a.offsetWidth,d=a.offsetHeight;if(t.widthBug||a.style.width.match(/%/)){var c=a.firstChild.firstChild.scrollWidth;c>h&&(h=c,a.parentNode.style.width=a.style.minWidth=h+"px")}return this.msieIE8HeightBug&&(a.style.position=""),{Y:-n.getBBox(a.parentNode).h,mW:o,mH:l,zW:h,zH:d}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em",veryverythinmathspace:".0556em",verythinmathspace:".1111em",thinmathspace:".1667em",mediummathspace:".2222em",thickmathspace:".2778em",verythickmathspace:".3333em",veryverythickmathspace:".3889em"}}),e.Register.StartupHook("mml Jax Ready",(function(){if((s=MathJax.ElementJax.mml).mbase.Augment({toNativeMML:function(t){var e=this.NativeMMLelement(this.type);this.NativeMMLattributes(e);for(var a=0,i=this.data.length;a<i;a++)this.data[a]?this.data[a].toNativeMML(e):e.appendChild(this.NativeMMLelement("mrow"));t.appendChild(e)},NativeMMLattributes:function(t){var e="mstyle"===this.type?s.math.prototype.defaults:this.defaults,a=this.attrNames||s.copyAttributeNames,i=s.skipAttributes,n=s.copyAttributes;if(!this.attrNames)for(var r in e)i[r]||n[r]||!e.hasOwnProperty(r)||null!=this[r]&&this[r]!==e[r]&&this.Get(r,null,1)!==this[r]&&t.setAttribute(r,this.NativeMMLattribute(this[r]));for(var o=0,l=a.length;o<l;o++)if(1!==n[a[o]]||e.hasOwnProperty(a[o])){var h=(this.attr||{})[a[o]];null==h&&(h=this[a[o]]),null!=h&&t.setAttribute(a[o],this.NativeMMLattribute(h))}this.NativeMMLclass(t)},NativeMMLclass:function(t){var e=[];if(this.class&&e.push(this.class),this.isa(s.TeXAtom)){var a=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];a&&(e.push("MJX-TeXAtom-"+a),"OP"!==a||this.movablelimits||e.push("MJX-fixedlimits"))}this.mathvariant&&this.NativeMMLvariants[this.mathvariant]&&e.push("MJX"+this.mathvariant),this.variantForm&&e.push("MJX-variant"),e.length&&t.setAttribute("class",e.join(" "))},NativeMMLattribute:function(e){return e=String(e),t.NAMEDSPACE[e]?e=t.NAMEDSPACE[e]:e.match(/^\s*(([-+])?(\d+(\.\d*)?|\.\d+))\s*mu\s*$/)?e=(RegExp.$2||"")+(1/18*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em":this.NativeMMLvariants[e]&&(e=this.NativeMMLvariants[e]),e},NativeMMLvariants:{"-tex-caligraphic":s.VARIANT.SCRIPT,"-tex-caligraphic-bold":s.VARIANT.BOLDSCRIPT,"-tex-oldstyle":s.VARIANT.NORMAL,"-tex-oldstyle-bold":s.VARIANT.BOLD,"-tex-mathit":s.VARIANT.ITALIC},NativeMMLelement:function(a){var i=e.Browser.mpNamespace?document.createElement("m:"+a):document.createElementNS?document.createElementNS(t.MMLnamespace,a):document.createElement(a);return i.isMathJax=!0,i}}),s.mrow.Augment({toNativeMML:function(e){var a,i;if(this.inferred&&this.parent.inferRow)for(a=0,i=this.data.length;a<i;a++)this.data[a]?this.data[a].toNativeMML(e):e.appendChild(this.NativeMMLelement("mrow"));else if(t.stretchyMoBug&&(this.open||this.close)){var s=this.NativeMMLelement("mfenced");this.NativeMMLattributes(s),a=0,i=this.data.length,this.open&&(s.setAttribute("open",this.open),a++),this.close&&(s.setAttribute("close",this.close),i--);var n=s;for(i-a+1>1&&(n=this.NativeMMLelement("mrow"),e.appendChild(s),e=s);a<i;a++)this.data[a]?this.data[a].toNativeMML(n):n.appendChild(this.NativeMMLelement("mrow"));e.appendChild(n)}else this.SUPER(arguments).toNativeMML.call(this,e)}}),s.msubsup.Augment({toNativeMML:function(t){var e=this.type;null==this.data[this.sup]&&(e="msub"),null==this.data[this.sub]&&(e="msup");var a=this.NativeMMLelement(e);this.NativeMMLattributes(a),this.data[0]&&delete this.data[0].inferred;for(var i=0,s=this.data.length;i<s;i++)this.data[i]&&this.data[i].toNativeMML(a);t.appendChild(a)}}),s.munderover.Augment({toNativeMML:function(t){var e=this.type,a=this.data[this.base];a&&a.isa(s.TeXAtom)&&a.movablelimits&&!a.Get("displaystyle")?(e="msubsup",null==this.data[this.under]&&(e="msup"),null==this.data[this.over]&&(e="msub")):(null==this.data[this.under]&&(e="mover"),null==this.data[this.over]&&(e="munder"));var i=this.NativeMMLelement(e);this.NativeMMLattributes(i),this.data[0]&&delete this.data[0].inferred;for(var n=0,r=this.data.length;n<r;n++)this.data[n]&&this.data[n].toNativeMML(i);t.appendChild(i)}}),!h){var n=e.SplitList;s.mtable.Augment({toNativeMML:function(a){var i,r;if(t.tableSpacingBug){var o=this.getValues("rowspacing","columnspacing");this.nMMLtopPadding=n("0px "+o.rowspacing),this.nMMLleftPadding=n("0px "+o.columnspacing);var l=this.nMMLtopPadding,h=l.length;for(i=0,r=this.data.length;i<r;i++)this.data[i]&&(this.data[i].nMMLtopPadding=l[i<h?i:h-1])}if(t.tableLabelBug)for(i=0,r=this.data.length;i<r;i++)if(this.data[i]&&this.data[i].isa(s.mlabeledtr)){var d=e.config.displayAlign.charAt(0),c=this.Get("side").charAt(0);this.nMMLhasLabels=!0,this.nMMLlaMatch=d===c,this.nMMLforceWidth="c"===d||!!(this.width||"").match("%");break}if(this.width&&this.ffTableWidthBug){var u=(this.style||"").replace(/;\s*$/,"").split(";");""===u[0]&&u.shift(),u.push("width:"+this.width),this.style=u.join(";")}if(this.SUPER(arguments).toNativeMML.call(this,a),this.nMMLhasLabels){var m=a.firstChild;if(this.nMMLforceWidth||"r"!==c){var p=("l"!==d?1:0)+("l"===c?1:0);if(p){var f={columnalign:"left",columnwidth:"auto",columnspacing:"0px",columnlines:"none"};for(var M in f)if(f.hasOwnProperty(M)&&this[M]){var g=[f[M],f[M]].slice(2-p).join(" ")+" ";m.setAttribute(M,g+m.getAttribute(M))}}}!this.nMMLforceWidth&&this.nMMLlaMatch||m.setAttribute("width","100%")}}}),s.mtr.Augment({toNativeMML:function(a){this.SUPER(arguments).toNativeMML.call(this,a);var i=a.lastChild;if(t.tableSpacingBug)for(var s=this.parent.nMMLleftPadding,n=s.length,r=i.firstChild,o=0;r;r=r.nextSibling,o++)c(r,this.nMMLtopPadding,s[o<n?o:n-1]);if(t.tableLabelBug){var l=this.parent.nMMLforceWidth,h=this.parent.Get("side").charAt(0),u=e.config.displayAlign.charAt(0);this.parent.nMMLhasLabels&&i.firstChild&&((l||"r"!==h)&&(d("Left",i.firstChild),"l"!==u&&i.insertBefore(this.NativeMMLelement("mtd"),i.firstChild).setAttribute("style","padding:0"),"l"===h&&i.insertBefore(this.NativeMMLelement("mtd"),i.firstChild).setAttribute("style","padding:0")),(l||"l"!==h)&&d("Right",i.lastChild))}}}),s.mlabeledtr.Augment({toNativeMML:function(a){var i=this.NativeMMLelement("mtr");this.NativeMMLattributes(i);for(var s=1,n=this.data.length;s<n;s++)this.data[s]?this.data[s].toNativeMML(i):i.appendChild(this.NativeMMLelement("mtd"));if(t.tableSpacingBug){var r=this.parent.nMMLleftPadding,o=r.length;s=0;for(var l=i.firstChild;l;l=l.nextSibling,s++)c(l,this.nMMLtopPadding,r[s<o?s:o-1])}if(t.tableLabelBug&&this.data[0]){var h=this.parent.Get("side").charAt(0),u=e.config.displayAlign.charAt(0),m=e.config.displayIndent;this.data[0].toNativeMML(i);var p=i.lastChild,f=p;h===u?(p.setAttribute("style","width:"+m),p.setAttribute("columnalign",e.config.displayAlign)):((f=this.NativeMMLelement("mpadded")).setAttribute("style","width:0"),f.setAttribute("width","0px"),f.appendChild(p.firstChild),p.appendChild(f)),d("",p),i.removeChild(p);var M=100,g=this.parent.nMMLforceWidth;(this.parent.width||"").match(/%/)&&(M-=parseFloat(this.parent.width));var b=M;(g||"r"!==h)&&(d("Left",i.firstChild),"l"!==u&&("c"===u&&(b/=2),M-=b,i.insertBefore(this.NativeMMLelement("mtd"),i.firstChild).setAttribute("style","padding:0;width:"+b+"%")),"l"===h&&i.insertBefore(p,i.firstChild)),(g||"l"!==h)&&(d("Right",i.lastChild),"r"!==u&&i.appendChild(this.NativeMMLelement("mtd")).setAttribute("style","padding:0;width:"+M+"%"),"r"===h&&(h!==u&&f.setAttribute("lspace","-1width"),i.appendChild(p)))}a.appendChild(i)}}),s.mtd.Augment({toNativeMML:function(e){var a=e.appendChild(this.NativeMMLelement(this.type));this.NativeMMLattributes(a),t.mtdWidthBug&&(t.adjustWidths.push(a),a=a.appendChild(this.NativeMMLelement("mrow")));for(var i=0,s=this.data.length;i<s;i++)this.data[i]?this.data[i].toNativeMML(a):a.appendChild(this.NativeMMLelement("mrow"))}}),s.mspace.Augment({toNativeMML:function(e){if(this.SUPER(arguments).toNativeMML.call(this,e),t.spaceWidthBug&&this.width){var a=e.lastChild,i=a.getAttribute("width"),s=(a.getAttribute("style")||"").replace(/;?\s*/,"; ");a.setAttribute("style",s+"width:"+i)}}}),s.mn.Augment({NativeMMLremapMinus:function(t){return t.replace(/^-/,"−")},toNativeMML:function(t){var e=this.NativeMMLelement(this.type);this.NativeMMLattributes(e);for(var a=this.NativeMMLremapMinus,i=0,s=this.data.length;i<s;i++)this.data[i]&&(this.data[i].toNativeMML(e,a),a=null);t.appendChild(e)}});var r=a.fileURL(MathJax.OutputJax.fontDir+"/HTML-CSS/TeX/otf");t.Augment({config:{styles:{'[class="MJX-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},'[class="MJX-tex-caligraphic"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-caligraphic-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},"@font-face /*1*/":{"font-family":"MathJax_Caligraphic-WEB",src:"url('"+r+"/MathJax_Caligraphic-Regular.otf')"},"@font-face /*2*/":{"font-family":"MathJax_Caligraphic-WEB","font-weight":"bold",src:"url('"+r+"/MathJax_Caligraphic-Bold.otf')"}}}}),this.handlesVariants||t.Augment({config:{styles:{'[mathvariant="double-struck"]':{"font-family":"MathJax_AMS, MathJax_AMS-WEB"},'[mathvariant="script"]':{"font-family":"MathJax_Script, MathJax_Script-WEB"},'[mathvariant="fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB"},'[mathvariant="bold-script"]':{"font-family":"MathJax_Script, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB","font-weight":"bold"},'[mathvariant="monospace"]':{"font-family":"monospace"},'[mathvariant="sans-serif"]':{"font-family":"sans-serif"},'[mathvariant="bold-sans-serif"]':{"font-family":"sans-serif","font-weight":"bold"},'[mathvariant="sans-serif-italic"]':{"font-family":"sans-serif","font-style":"italic"},'[mathvariant="sans-serif-bold-italic"]':{"font-family":"sans-serif","font-style":"italic","font-weight":"bold"},"@font-face /*3*/":{"font-family":"MathJax_AMS-WEB",src:"url('"+r+"/MathJax_AMS-Regular.otf')"},"@font-face /*4*/":{"font-family":"MathJax_Script-WEB",src:"url('"+r+"/MathJax_Script-Regular.otf')"},"@font-face /*5*/":{"font-family":"MathJax_Fraktur-WEB",src:"url('"+r+"/MathJax_Fraktur-Regular.otf')"},"@font-face /*6*/":{"font-family":"MathJax_Fraktur-WEB","font-weight":"bold",src:"url('"+r+"/MathJax_Fraktur-Bold.otf')"}}}})}s.math.Augment({toNativeMML:function(a,i){var s,n,r=this.NativeMMLelement(this.type),o=r,l=i?MathJax.InputJax[i.inputJax].annotationEncoding:null;if(t.adjustWidths=[],r.setAttribute("xmlns",t.MMLnamespace),this.NativeMMLattributes(r),t.widthBug&&(r=r.appendChild(this.NativeMMLelement("mrow"))),l){(r=r.appendChild(this.NativeMMLelement("semantics"))).appendChild(this.NativeMMLelement("mrow"));var h=r.appendChild(this.NativeMMLelement("annotation"));h.appendChild(document.createTextNode(i.originalText)),h.setAttribute("encoding",l),r=r.firstChild}for(s=0,n=this.data.length;s<n;s++)this.data[s]?this.data[s].toNativeMML(r):r.appendChild(this.NativeMMLelement("mrow"));var d=(this.data[0]||{data:[]}).data[0]||{};d.nMMLhasLabels&&(!d.nMMLforceWidth&&d.nMMLlaMatch||(r.setAttribute("style","width:100%"),l&&r.parentNode.setAttribute("style","width:100%")),d.nMMLlaMatch&&"div"===a.parentNode.parentNode.nodeName.toLowerCase()&&a.parentNode.parentNode.style.setProperty("margin-"+e.config.displayAlign,"0px","important"));var c=t.isFullWidth(o);if(c&&(a.style.width=a.parentNode.style.width="100%"),a.appendChild(o),t.widthBug&&!c&&(a.style.width=(o.firstChild.scrollWidth/t.ex/t.scale).toFixed(3)+"ex",i&&(i.NativeMML.scrollWidth=o.firstChild.scrollWidth)),t.adjustWidths.length){var u=[];for(s=0,n=t.adjustWidths.length;s<n;s++){var m=(r=t.adjustWidths[s]).getAttribute("style")||"";if(!m.match(/(^|;)\s*min-width:/)){var p=r.firstChild.scrollWidth;u.push(p),p=(p/t.ex).toFixed(3)+"ex",m=m.replace(/;?\s*$/,"; "),r.setAttribute("style",m+"min-width:"+p)}}i||(i=e.getJaxFor(a)),i&&(i.NativeMML.mtds=u),o.MathJaxMtds=t.adjustWidths,t.adjustWidths=[]}}}),s.mfenced.Augment({toNativeMML:function(a){if(t.mfencedBug){var i,s,n,r=e.Browser.isOpera,o=this.getValues("open","close","separators");if(o.open=o.open.replace(/^\s+/,"").replace(/\s+$/,""),o.close=o.close.replace(/^\s+/,"").replace(/\s+$/,""),o.separators=o.separators.replace(/\s+/g,"").split(""),0==o.separators.length)o.separators=null;else if(o.separators.length<this.data.length-1){var l=o.separators[o.separators.length-1];for(i=this.data.length-1-o.separators.length;i>0;i--)o.separators.push(l)}var h=this.NativeMMLelement(r?this.type:"mrow");for(this.NativeMMLattributes(h),h.removeAttribute("separators"),r?(h.setAttribute("open",o.open),h.setAttribute("close",o.close),this.data.length>1&&(a.appendChild(h),a=h,h=this.NativeMMLelement("mrow"))):(h.removeAttribute("open"),h.removeAttribute("close")),r||((n=this.NativeMMLelement("mo")).setAttribute("fence","true"),n.textContent=o.open,h.appendChild(n)),i=0,s=this.data.length;i<s;i++)o.separators&&i>0&&((n=this.NativeMMLelement("mo")).setAttribute("separator","true"),n.textContent=o.separators[i-1],h.appendChild(n)),this.data[i]?this.data[i].toNativeMML(h):h.appendChild(this.NativeMMLelement("mrow"));r||((n=this.NativeMMLelement("mo")).setAttribute("fence","true"),n.textContent=o.close,h.appendChild(n)),a.appendChild(h)}else this.SUPER(arguments).toNativeMML.call(this,a)}}),s.TeXAtom.Augment({toNativeMML:function(t){var e=this.NativeMMLelement("mrow");this.NativeMMLattributes(e),this.data[0].toNativeMML(e),t.appendChild(e)}}),s.chars.Augment({toNativeMML:function(t,e){var a=this.toString();e&&(a=e(a)),t.appendChild(document.createTextNode(a))}}),s.entity.Augment({toNativeMML:function(t){t.appendChild(document.createTextNode(this.toString()))}}),s.xml.Augment({toNativeMML:function(t){for(var e=0,a=this.data.length;e<a;e++)t.appendChild(this.data[e].cloneNode(!0))}}),s.mi.Augment({toNativeMML:function(e){if(this.SUPER(arguments).toNativeMML.call(this,e),t.miItalicBug&&this.Get("mathvariant")===s.VARIANT.NORMAL){var a=e.lastChild;a.setAttribute("mathvariant",s.VARIANT.NORMAL)}}}),s.mo.Augment({toNativeMML:function(e){if(this.SUPER(arguments).toNativeMML.call(this,e),t.webkitMoSpacingBug){var a=0,s=0,n=this.parent;if(n&&"mrow"===n.type&&(n.inferred||!n.isEmbellished())){var r=this.getValues("lspace","rspace");a=r.lspace,s=r.rspace,t.NAMEDSPACE[a]&&(a=t.NAMEDSPACE[a]),t.NAMEDSPACE[s]&&(s=t.NAMEDSPACE[s])}var o=e.lastChild,l=i.Element("span");l.style.cssText=o.getAttribute("style")||"",l.style.setProperty("-webkit-margin-start",a),l.style.setProperty("-webkit-margin-end",s),o.setAttribute("style",l.style.cssText)}}}),s.mmultiscripts.Augment({toNativeMML:function(e){if(t.mmultiscriptsBug&&0!==this.data.length){var a=this.NativeMMLelement("mrow");this.NativeMMLattributes(a),this.data[0]?this.data[0].toNativeMML(a):a.appendChild(this.NativeMMLelement("mrow"));var i,s,n=a.removeChild(a.lastChild),r=this.data.length;for(i=1;i<r&&"mprescripts"!==this.data[i].type;i+=2)(s=this.NativeMMLelement("msubsup")).appendChild(n),this.data[i]?this.data[i].toNativeMML(s):s.appendChild(this.NativeMMLelement("mrow")),i+1<r&&this.data[i+1]?this.data[i+1].toNativeMML(s):s.appendChild(this.NativeMMLelement("mrow")),n=s;for(a.appendChild(n),i++;i<r;i+=2)(s=this.NativeMMLelement("msubsup")).appendChild(this.NativeMMLelement("mrow")),this.data[i]?this.data[i].toNativeMML(s):s.appendChild(this.NativeMMLelement("mrow")),i+1<r&&this.data[i+1]?this.data[i+1].toNativeMML(s):s.appendChild(this.NativeMMLelement("mrow")),a.insertBefore(s,n);e.appendChild(a)}else this.SUPER(arguments).toNativeMML.call(this,e)}}),e.Register.StartupHook("TeX mathchoice Ready",(function(){s.TeXmathchoice.Augment({toNativeMML:function(t){this.Core().toNativeMML(t)}})})),setTimeout(MathJax.Callback(["loadComplete",t,"jax.js"]),0)})),e.Browser.Select({MSIE:function(e){var a=document.documentMode||0;t.msieIE8HeightBug=8===a},Opera:function(e){t.stretchyMoBug=!0,t.tableLabelBug=!0,t.mfencedBug=!0,t.miBug=!0,t.mmultiscriptsBug=!0},Firefox:function(e){var a=e.versionAtLeast("29.0");t.ffTableWidthBug=!e.versionAtLeast("13.0"),t.forceReflow=!a,t.widthBug=!a,t.mtdWidthBug=!0,t.handlesVariants=a,t.spaceWidthBug=!e.versionAtLeast("20.0"),t.tableSpacingBug=!e.versionAtLeast("33.0"),t.tableLabelBug=!0,t.mfencedBug=!0},Chrome:function(e){t.tableSpacingBug=!0,t.tableLabelBug=!0,t.mfencedBug=!0},Safari:function(e){t.tableSpacingBug=!0,t.tableLabelBug=!0,t.mfencedBug=!0,t.miItalicBug=!0,t.webkitMoSpacingBug=!0,t.spaceWidthBug=!0,t.mmultiscriptsBug=!0}}),e.Register.StartupHook("End Cookie",(function(){"None"!==e.config.menuSettings.zoom&&a.Require("[MathJax]/extensions/MathZoom.js")}))}(MathJax.OutputJax.NativeMML,MathJax.Hub,MathJax.Ajax,MathJax.HTML),function(t,e,a){var i,s,n,r,o=e.Browser.isMobile,l=MathJax.Object.isArray,h=function(){var t=[].slice.call(arguments,0);return t[0][0]=["HTML-CSS",t[0][0]],MathJax.Message.Set.apply(MathJax.Message,t)},d=MathJax.Object.Subclass({timeout:1e3*(o?15:8),comparisonFont:["sans-serif","monospace","script","Times","Courier","Arial","Helvetica"],testSize:["40px","50px","60px","30px","20px"],FedoraSTIXcheck:{family:"STIXSizeOneSym",testString:"abcABC",noStyleChar:!0},Init:function(){this.div=MathJax.HTML.addElement(document.body,"div",{style:{position:"absolute",width:0,height:0,overflow:"hidden",padding:0,border:0,margin:0}},[["div",{id:"MathJax_Font_Test",style:{position:"absolute",visibility:"hidden",top:0,left:0,width:"auto","min-width":0,"max-width":"none",padding:0,border:0,margin:0,whiteSpace:"nowrap",textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal",fontSize:this.testSize[0],fontWeight:"normal",fontStyle:"normal",fontSizeAdjust:"none"}},[""]]]).firstChild,this.text=this.div.firstChild},findFont:function(t,e){var a=null;if(e&&this.testCollection(e))a=e;else for(var i=0,s=t.length;i<s;i++)if(t[i]!==e&&this.testCollection(t[i])){a=t[i];break}return"STIX"===a&&this.testFont(this.FedoraSTIXcheck)&&(a=null),a},testCollection:function(t){var e={testString:"() {} []"};return e.family={TeX:"MathJax_Size1",STIX:"STIXSizeOneSym"}[t]||t.replace(/-(Math)?/,"")+"MathJax_Size1","STIX"===t&&(e.noStyleChar=!0),this.testFont(e)},testFont:function(t){t.isWebFont&&a.FontFaceBug?this.div.style.fontWeight=this.div.style.fontStyle="normal":(this.div.style.fontWeight=t.weight||"normal",this.div.style.fontStyle=t.style||"normal");var e=t.familyFixed||t.family;t.isWebFont||e.match(/^(STIX|MathJax)|'/)||(e=e.replace(/_/g," ").replace(/([a-z])([A-Z])/g,"$1 $2").replace(/ Jax/,"Jax")+"','"+e+"','"+e+"-",t.weight&&(e+="Bold"),t.style&&(e+="Italic"),t.weight||t.style||(e+="Regular"),t.familyFixed=e="'"+e+"'");var i=this.getComparisonWidths(t.testString,t.noStyleChar),s=null;if(i&&(this.div.style.fontFamily=e+","+this.comparisonFont[0],this.div.offsetWidth==i[0]&&(this.div.style.fontFamily=e+","+this.comparisonFont[i[2]],this.div.offsetWidth==i[1]&&(s=!1)),null===s&&(this.div.offsetWidth!=i[3]||this.div.offsetHeight!=i[4])))if(!t.noStyleChar&&a.FONTDATA&&a.FONTDATA.hasStyleChar)for(var n=0,r=this.testSize.length;n<r;n++)this.testStyleChar(t,this.testSize[n])&&(s=!0,r=0);else s=!0;return a.safariTextNodeBug?this.div.innerHTML="":this.text.nodeValue="",s},styleChar:"",versionChar:"",compChar:"",testStyleChar:function(t,e){var i=3+(t.weight?2:0)+(t.style?4:0),s="",n=0,r=this.div.style.fontSize;this.div.style.fontSize=e,a.msieItalicWidthBug&&"italic"===t.style&&(this.text.nodeValue=s=this.compChar,n=this.div.offsetWidth),a.safariTextNodeBug?this.div.innerHTML=this.compChar+s:this.text.nodeValue=this.compChar+s;var o=this.div.offsetWidth-n;a.safariTextNodeBug?this.div.innerHTML=this.styleChar+s:this.text.nodeValue=this.styleChar+s;var l=Math.floor((this.div.offsetWidth-n)/o+.5);return l===i&&(a.safariTextNodeBug?this.div.innerHTML=this.versionChar+s:this.text.nodeValue=this.versionChar+s,t.version=Math.floor((this.div.offsetWidth-n)/o+1.5)/2),this.div.style.fontSize=r,l===i},getComparisonWidths:function(t,e){a.FONTDATA&&a.FONTDATA.hasStyleChar&&!e&&(t+=this.styleChar+" "+this.compChar),a.safariTextNodeBug?this.div.innerHTML=t:this.text.nodeValue=t,this.div.style.fontFamily=this.comparisonFont[0];var i=this.div.offsetWidth;this.div.style.fontFamily=a.webFontDefault;for(var s=this.div.offsetWidth,n=this.div.offsetHeight,r=1,o=this.comparisonFont.length;r<o;r++)if(this.div.style.fontFamily=this.comparisonFont[r],this.div.offsetWidth!=i)return[i,this.div.offsetWidth,r,s,n];return null},loadWebFont:function(i){e.Startup.signal.Post("HTML-CSS Jax - Web-Font "+a.fontInUse+"/"+i.directory);var s=h(["LoadWebFont","Loading web-font %1",a.fontInUse+"/"+i.directory]),n=MathJax.Callback({}),r=MathJax.Callback(["loadComplete",this,i,s,n]);return t.timer.start(t,[this.checkWebFont,i,r],0,this.timeout),n},loadComplete:function(i,s,n,r){if(MathJax.Message.Clear(s),r===t.STATUS.OK)return this.webFontLoaded=!0,void n();if(this.loadError(i),e.Browser.isFirefox&&a.allowWebFonts){var o=document.location.protocol+"//"+document.location.hostname;""!=document.location.port&&(o+=":"+document.location.port),o+="/",t.fileURL(a.webfontDir).substr(0,o.length)!==o&&this.firefoxFontError(i)}this.webFontLoaded?n():a.loadWebFontError(i,n)},loadError:function(t){h(["CantLoadWebFont","Can't load web font %1",a.fontInUse+"/"+t.directory],null,2e3),e.Startup.signal.Post("HTML-CSS Jax - web font error for "+a.fontInUse+"/"+t.directory)},firefoxFontError:function(t){h(["FirefoxCantLoadWebFont","Firefox can't load web fonts from a remote host"],null,3e3),e.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(t,e,i){t.time(i)||(a.Font.testFont(e)?i(t.STATUS.OK):setTimeout(t,t.delay))},fontFace:function(e){var i=a.allowWebFonts,s=a.FONTDATA.FONTS[e];a.msieFontCSSBug&&!s.family.match(/-Web$/)&&(s.family+="-Web"),s.isWebFont&&delete s.familyFixed;var n=a.webfontDir+"/"+i,r=t.fileURL(n),o=e.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");o.match(/-/)||(o+="-Regular"),o+="svg"===i?".svg#"+o:"."+i;var l=t.fileRev(n+"/"+o.replace(/#.*/,"")),h={"font-family":s.family,src:"url('"+r+"/"+o+l+"')"};return"otf"===i?(o=o.replace(/otf$/,"woff"),l=t.fileRev(n+"/"+o),h.src+=" format('opentype')",r=t.fileURL(a.webfontDir+"/woff"),h.src="url('"+r+"/"+o+l+"') format('woff'), "+h.src):"eot"!==i&&(h.src+=" format('"+i+"')"),a.FontFaceBug&&s.isWebFont||(e.match(/-bold/)&&(h["font-weight"]="bold"),e.match(/-italic/)&&(h["font-style"]="italic")),h}}),c=MathJax.Hub.Browser.isMSIE&&(document.documentMode||0)<8;a.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap",float:"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,padding:0,margin:0},".MathJax:focus, body :focus .MathJax":{display:"inline-table"},".MathJax_Display":{position:"relative",display:"block!important","text-indent":0,"max-width":"none","max-height":"none","min-width":0,"min-height":0,width:"100%"},".MathJax.MathJax_FullWidth":{"text-align":"center",display:(c?"block":"table-cell")+"!important",width:(c?"100%":"10000em")+"!important"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","min-width":0,"min-height":0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0!important",padding:"0!important",margin:"0!important","vertical-align":"0!important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none","box-sizing":"content-box"},".MathJax nobr":{"white-space":"nowrap!important"},".MathJax img":{display:"inline!important",float:"none!important"},".MathJax *":{transition:"none","-webkit-transition":"none","-moz-transition":"none","-ms-transition":"none","-o-transition":"none"},".MathJax_Processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MathJax_Processed":{display:"none!important"},".MathJax_test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".MathJax_test.mjx-test-display":{display:(c?"block":"table")+"!important"},".MathJax_test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".MathJax_test.mjx-test-default":{display:"block!important",clear:"both"},".MathJax_ex_box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".MathJax_em_box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60em"},".mjx-test-inline .MathJax_left_box":{display:"inline-block",width:0,float:"left"},".mjx-test-inline .MathJax_right_box":{display:"inline-block",width:0,float:"right"},".mjx-test-display .MathJax_right_box":{display:(c?"block":"table-cell")+"!important",width:(c?"100%":"10000em")+"!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},".MathJax .MathJax_HitBox":{cursor:"text",background:"white",opacity:0,filter:"alpha(opacity=0)"},".MathJax .MathJax_HitBox *":{filter:"none",opacity:1,background:"transparent"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip *":{filter:"none",opacity:1,background:"transparent"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:e.config.menuSettings,Font:null,webFontDefault:"MathJax_Blank",allowWebFonts:"otf",maxStretchyParts:1e3,fontName:{TeXLocal:"TeX",TeXWeb:["","TeX"],TeXImage:["",""],STIXLocal:["STIX","STIX-Web"],STIXWeb:"STIX-Web",AsanaMathWeb:"Asana-Math",GyrePagellaWeb:"Gyre-Pagella",GyreTermesWeb:"Gyre-Termes",LatinModernWeb:"Latin-Modern",NeoEulerWeb:"Neo-Euler"},fontInUse:"generic",FONTDATA:{TeX_factor:1,baselineskip:1.2,lineH:.8,lineD:.2,ffLineH:.8,FONTS:{},VARIANT:{normal:{fonts:[]},"-generic-variant":{},"-largeOp":{},"-smallOp":{}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}},Config:function(){this.require||(this.require=[]),this.Font=d(),this.SUPER(arguments).Config.call(this);var t=this.settings,a=this.config,i=t.font;this.adjustAvailableFonts&&this.adjustAvailableFonts(a.availableFonts),t.scale&&(a.scale=t.scale),i&&"Auto"!==i&&this.fontName[i]&&(a.availableFonts=[],delete a.fonts,l(this.fontName[i])?(a.preferredFont=this.fontName[i][0],a.webFont=this.fontName[i][1]):a.preferredFont=a.webFont=this.fontName[i],a.preferredFont&&(a.availableFonts[0]=a.preferredFont)),a.fonts&&(a.availableFonts=a.fonts,a.preferredFont=a.webFont=a.fonts[0],"STIX"===a.webFont&&(a.webFont+="-Web")),!(i=this.Font.findFont(a.availableFonts,a.preferredFont))&&this.allowWebFonts&&(i=a.webFont)&&(this.webFonts=!0),!i&&this.config.imageFont&&(i=a.imageFont,this.imgFonts=!0),i?(this.fontInUse=i,this.fontDir+="/"+i,this.webfontDir+="/"+i,this.require.push(this.fontDir+"/fontdata.js"),this.imgFonts&&(this.require.push(this.directory+"/imageFonts.js"),e.Startup.signal.Post("HTML-CSS Jax - using image fonts"))):(h(["CantFindFontUsing","Can't find a valid font using %1","["+this.config.availableFonts.join(", ")+"]"],null,3e3),e.Startup.signal.Post("HTML-CSS Jax - no valid font")),this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){s=MathJax.Extension.MathEvents.Event,n=MathJax.Extension.MathEvents.Touch,r=MathJax.Extension.MathEvents.Hover,this.ContextMenu=s.ContextMenu,this.Mousedown=s.AltContextMenu,this.Mouseover=r.Mouseover,this.Mouseout=r.Mouseout,this.Mousemove=r.Mousemove,this.hiddenDiv=this.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}}),document.body.firstChild?document.body.insertBefore(this.hiddenDiv,document.body.firstChild):document.body.appendChild(this.hiddenDiv),this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var e=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});if(this.pxPerInch=e.offsetWidth/5,this.hiddenDiv.removeChild(e),this.startMarker=this.createStrut(this.Element("span"),10,!0),this.endMarker=this.addText(this.Element("span"),"x").parentNode,this.HDspan=this.Element("span"),this.operaHeightBug&&this.createStrut(this.HDspan,0),this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(t){}}else this.HDimg=this.createStrut(this.HDspan,0);return this.TestSpan=this.Element("span",{className:"MathJax_test"},[["span",{className:"MathJax_left_box"}],["span",{className:"MathJax_ex_box"}],["span",{className:"MathJax_em_box"}],["span",{className:"MathJax_right_box"}]]),t.Styles(this.config.styles,["InitializeHTML",this])},removeSTIXfonts:function(t){for(var e=0,a=t.length;e<a;e++)"STIX"===t[e]&&(t.splice(e,1),a--,e--);"STIX"===this.config.preferredFont&&(this.config.preferredFont=t[0])},PreloadWebFonts:function(){if(a.allowWebFonts&&a.config.preloadWebFonts)for(var t=0,e=a.config.preloadWebFonts.length;t<e;t++){var i=a.FONTDATA.FONTS[a.config.preloadWebFonts[t]];i.available||a.Font.testFont(i)}},InitializeHTML:function(){if(this.PreloadWebFonts(),this.getDefaultExEm(),!this.defaultEm){var i=MathJax.Callback();return t.timer.start(t,(function(t){t.time(i)?e.signal.Post(["HTML-CSS Jax - no default em size"]):(a.getDefaultExEm(),a.defaultEm?i():setTimeout(t,t.delay))}),this.defaultEmDelay,this.defaultEmTimeout),i}},defaultEmDelay:100,defaultEmTimeout:1e3,getDefaultExEm:function(){var t=document.body.appendChild(this.TestSpan.cloneNode(!0));t.className+=" mjx-test-inline mjx-test-default",this.defaultEx=t.childNodes[1].offsetHeight/60,this.defaultEm=t.childNodes[2].offsetHeight/60,this.defaultWidth=Math.max(0,t.lastChild.offsetLeft-t.firstChild.offsetLeft-2),document.body.removeChild(t)},preTranslate:function(t){var a,i,r,o,l,h,d,c,u,m,p,f,M,g=t.jax[this.id],b=g.length,x=!1,v=this.config.linebreaks.automatic,T=this.config.linebreaks.width;for(v?((x=null!=T.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/))?T=T.replace(/\s*container\s*/,""):f=this.defaultWidth,""===T&&(T="100%")):f=1e5,a=0;a<b;a++)(r=g[a]).parentNode&&((o=r.previousSibling)&&String(o.className).match(/^MathJax(_Display)?( MathJax_Process(ing|ed))?$/)&&o.parentNode.removeChild(o),r.MathJax.preview&&(r.MathJax.preview.style.display="none"),(c=r.MathJax.elementJax)&&(c.HTMLCSS={display:"block"===c.root.Get("display")},l=h=this.Element("span",{className:"MathJax",id:c.inputID+"-Frame",isMathJax:!0,jaxID:this.id,oncontextmenu:s.Menu,onmousedown:s.Mousedown,onmouseover:s.Mouseover,onmouseout:s.Mouseout,onmousemove:s.Mousemove,onclick:s.Click,ondblclick:s.DblClick,onkeydown:s.Keydown,tabIndex:e.getTabOrder(c)}),e.Browser.noContextMenu&&(l.ontouchstart=n.start,l.ontouchend=n.end),c.HTMLCSS.display?(h=this.Element("div",{className:"MathJax_Display"})).appendChild(l):this.msieDisappearingBug&&(l.style.display="inline-block"),h.className+=" MathJax_Processing",r.parentNode.insertBefore(h,r),c.HTMLCSS.span=l,c.HTMLCSS.div=h,(d=this.TestSpan.cloneNode(!0)).className+=" mjx-test-"+(c.HTMLCSS.display?"display":"inline"),r.parentNode.insertBefore(d,r)));var E=[];for(a=0;a<b;a++)(r=g[a]).parentNode&&(h=(d=r.previousSibling).previousSibling,(c=r.MathJax.elementJax)&&(u=d.childNodes[1].offsetHeight/60,m=d.childNodes[2].offsetHeight/60,M=Math.max(0,c.HTMLCSS.display?d.lastChild.offsetWidth-1:d.lastChild.offsetLeft-d.firstChild.offsetLeft-2),0!==u&&"NaN"!==u||(E.push(h),c.HTMLCSS.isHidden=!0,u=this.defaultEx,m=this.defaultEm,M=this.defaultWidth),0!==M||c.HTMLCSS.display||(M=this.defaultWidth),x&&(f=M),p=this.config.matchFontHeight?u/this.TeX.x_height/m:1,p=Math.floor(Math.max(this.config.minScaleAdjust/100,p)*this.config.scale),c.HTMLCSS.scale=p/100,c.HTMLCSS.fontSize=p+"%",c.HTMLCSS.em=c.HTMLCSS.outerEm=m,this.em=m*p/100,c.HTMLCSS.ex=u,c.HTMLCSS.cwidth=M/this.em,c.HTMLCSS.lineWidth=v?this.length2em(T,1,f/this.em):1e6));for(a=0,i=E.length;a<i;a++)this.hiddenDiv.appendChild(E[a]),this.addElement(this.hiddenDiv,"br");for(a=0;a<b;a++)(r=g[a]).parentNode&&(c=g[a].MathJax.elementJax)&&(r.parentNode.removeChild(r.previousSibling),r.MathJax.preview&&(r.MathJax.preview.style.display=""));t.HTMLCSSeqn=t.HTMLCSSlast=0,t.HTMLCSSi=-1,t.HTMLCSSchunk=this.config.EqnChunk,t.HTMLCSSdelay=!1},PHASE:{I:1,II:2,III:3},Translate:function(t,a){if(t.parentNode){a.HTMLCSSdelay&&(a.HTMLCSSdelay=!1,e.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay)));var i=t.MathJax.elementJax,s=i.root,n=i.HTMLCSS.div,r=i.HTMLCSS.span;if(document.getElementById(r.id)){this.getMetrics(i),1!==this.scale&&(r.style.fontSize=i.HTMLCSS.fontSize),this.initImg(r),this.initHTML(s,r),this.savePreview(t);try{s.setTeXclass(),s.toHTML(r,n,this.PHASE.I)}catch(e){if(e.restart)for(;r.firstChild;)r.removeChild(r.firstChild);throw this.restorePreview(t),e}return this.restorePreview(t),n.className=n.className.split(/ /)[0]+" MathJax_Processed",e.signal.Post(["New Math Pending",i.inputID]),a.HTMLCSSeqn+=a.i-a.HTMLCSSi,a.HTMLCSSi=a.i,a.HTMLCSSeqn>=a.HTMLCSSlast+a.HTMLCSSchunk&&(this.postTranslate(a,!0),a.HTMLCSSchunk=Math.floor(a.HTMLCSSchunk*this.config.EqnChunkFactor),a.HTMLCSSdelay=!0),!1}}},savePreview:function(t){var e=t.MathJax.preview;e&&(t.MathJax.tmpPreview=document.createElement("span"),e.parentNode.replaceChild(t.MathJax.tmpPreview,e))},restorePreview:function(t){var e=t.MathJax.tmpPreview;e&&(e.parentNode.replaceChild(t.MathJax.preview,e),delete t.MathJax.tmpPreview)},getMetrics:function(t){var e=t.HTMLCSS;this.em=i.mbase.prototype.em=e.em*e.scale,this.outerEm=e.em,this.scale=e.scale,this.cwidth=e.cwidth,this.linebreakWidth=e.lineWidth},postTranslate:function(t,a){var i,s,n,r,o=t.jax[this.id];for(n=t.HTMLCSSlast,r=t.HTMLCSSeqn;n<r;n++)if((i=o[n])&&i.parentNode&&i.MathJax.elementJax){var l=(i.MathJax.elementJax.HTMLCSS||{}).div;l&&(l.className=l.className.split(/ /)[0]),i.MathJax.preview&&(i.MathJax.preview.innerHTML="")}for(n=t.HTMLCSSlast,r=t.HTMLCSSeqn;n<r;n++)(i=o[n])&&i.parentNode&&i.MathJax.elementJax&&(s=i.MathJax.elementJax,this.getMetrics(s),s.HTMLCSS.span&&s.HTMLCSS.div&&s.root.toHTML(s.HTMLCSS.span,s.HTMLCSS.div,this.PHASE.II));for(n=t.HTMLCSSlast,r=t.HTMLCSSeqn;n<r;n++)(i=o[n])&&i.parentNode&&i.MathJax.elementJax&&(s=i.MathJax.elementJax,this.getMetrics(s),s.HTMLCSS.span&&s.HTMLCSS.div&&(s.root.toHTML(s.HTMLCSS.span,s.HTMLCSS.div,this.PHASE.III),s.HTMLCSS.isHidden&&i.parentNode.insertBefore(s.HTMLCSS.div,i),delete s.HTMLCSS.span,delete s.HTMLCSS.div,i.MathJax.state=s.STATE.PROCESSED,e.signal.Post(["New Math",i.MathJax.elementJax.inputID])));if(this.forceReflow){var h=(document.styleSheets||[])[0]||{};h.disabled=!0,h.disabled=!1}t.HTMLCSSlast=t.HTMLCSSeqn},getJaxFromMath:function(t){t.parentNode.className.match(/MathJax_Display/)&&(t=t.parentNode);do{t=t.nextSibling}while(t&&"script"!==t.nodeName.toLowerCase());return e.getJaxFor(t)},getHoverSpan:function(t,e){return t.root.HTMLspanElement()},getHoverBBox:function(t,e,a){var i=e.bbox,s=t.HTMLCSS.outerEm,n={w:i.w*s,h:i.h*s,d:i.d*s};return i.width&&(n.width=i.width),n},Zoom:function(t,n,r,o,l){n.className="MathJax",n.style.fontSize=t.HTMLCSS.fontSize;var h=n.appendChild(this.TestSpan.cloneNode(!0)),d=h.childNodes[2].offsetHeight/60;this.em=i.mbase.prototype.em=d,this.outerEm=d/t.HTMLCSS.scale,h.parentNode.removeChild(h),this.scale=t.HTMLCSS.scale,this.linebreakWidth=t.HTMLCSS.lineWidth,this.cwidth=t.HTMLCSS.cwidth,this.zoomScale=parseInt(e.config.menuSettings.zscale)/100,this.idPostfix="-zoom",t.root.toHTML(n,n),this.idPostfix="",this.zoomScale=1;var c=t.root.HTMLspanElement().bbox,u=c.width;if(u){c.tw&&(o=c.tw*d),c.w*d<o&&(o=c.w*d),n.style.width=Math.floor(o-1.5*a.em)+"px",n.style.display="inline-block";for(var m=(t.root.id||"MathJax-Span-"+t.root.spanID)+"-zoom",p=document.getElementById(m).firstChild;p&&p.style.width!==u;)p=p.nextSibling;if(p){var f=p.offsetWidth;p.style.width="100%",f>o&&(n.style.width=f+100+"px")}}p=n.firstChild.firstChild.style,null!=c.H&&c.H>c.h&&(p.marginTop=a.Em(c.H-Math.max(c.h,a.FONTDATA.lineH))),null!=c.D&&c.D>c.d&&(p.marginBottom=a.Em(c.D-Math.max(c.d,a.FONTDATA.lineD))),c.lw<0&&(p.paddingLeft=a.Em(-c.lw)),c.rw>c.w&&(p.marginRight=a.Em(c.rw-c.w)),n.style.position="absolute",u||(r.style.position="absolute");var M=n.offsetWidth,g=n.offsetHeight,b=r.offsetHeight,x=r.offsetWidth;return n.style.position=r.style.position="",{Y:-s.getBBox(n).h,mW:x,mH:b,zW:M,zH:g}},initImg:function(t){},initHTML:function(t,e){},initFont:function(e){var i=a.FONTDATA.FONTS,s=a.config.availableFonts;return s&&s.length&&a.Font.testFont(i[e])?(i[e].available=!0,i[e].familyFixed&&(i[e].family=i[e].familyFixed,delete i[e].familyFixed),null):this.allowWebFonts?(i[e].isWebFont=!0,a.FontFaceBug&&(i[e].family=e,a.msieFontCSSBug&&(i[e].family+="-Web")),t.Styles({"@font-face":this.Font.fontFace(e)})):null},Remove:function(t){var e=document.getElementById(t.inputID+"-Frame");e&&(t.HTMLCSS.display&&(e=e.parentNode),e.parentNode.removeChild(e)),delete t.HTMLCSS},getHD:function(t,e){if(t.bbox&&this.config.noReflows&&!e)return{h:t.bbox.h,d:t.bbox.d};var a=t.style.position;t.style.position="absolute",this.HDimg.style.height="0px",t.appendChild(this.HDspan);var i={h:t.offsetHeight};return this.HDimg.style.height=i.h+"px",i.d=t.offsetHeight-i.h,i.h-=i.d,i.h/=this.em,i.d/=this.em,t.removeChild(this.HDspan),t.style.position=a,i},getW:function(t){var e,a,i=(t.bbox||{}).w,s=t;if(t.bbox&&this.config.noReflows&&!1!==t.bbox.exactW)return t.bbox.exactW||(t.style.paddingLeft&&(i+=this.unEm(t.style.paddingLeft)*(t.scale||1)),t.style.paddingRight&&(i+=this.unEm(t.style.paddingRight)*(t.scale||1))),i;if(t.bbox&&t.bbox.exactW)return i;if(t.bbox&&i>=0&&!this.initialSkipBug&&!this.msieItalicWidthBug||this.negativeBBoxes||!t.firstChild)e=t.offsetWidth,a=t.parentNode.offsetHeight;else if(t.bbox&&i<0&&this.msieNegativeBBoxBug)e=-t.offsetWidth,a=t.parentNode.offsetHeight;else{var n=t.style.position;t.style.position="absolute",s=this.startMarker,t.insertBefore(s,t.firstChild),t.appendChild(this.endMarker),e=this.endMarker.offsetLeft-s.offsetLeft,t.removeChild(this.endMarker),t.removeChild(s),t.style.position=n}return null!=a&&(t.parentNode.HH=a/this.em),e/this.em},Measured:function(t,e){var a=t.bbox;if(null==a.width&&a.w&&!a.isMultiline){var i=this.getW(t);a.rw+=i-a.w,a.w=i,a.exactW=!0}return e||(e=t.parentNode),e.bbox||(e.bbox=a),t},Remeasured:function(t,e){e.bbox=this.Measured(t,e).bbox},MeasureSpans:function(t){var e,a,i,s,n,r,o,l,h=[];for(a=0,i=t.length;a<i;a++)(e=t[a])&&(s=e.bbox,l=this.parentNode(e),s.exactW||s.width||0===s.w||s.isMultiline||this.config.noReflows&&!1!==s.exactW?l.bbox||(l.bbox=s):this.negativeBBoxes||!e.firstChild||s.w>=0&&!this.initialSkipBug||s.w<0&&this.msieNegativeBBoxBug?h.push([e]):this.initialSkipBug?(n=this.startMarker.cloneNode(!0),r=this.endMarker.cloneNode(!0),e.insertBefore(n,e.firstChild),e.appendChild(r),h.push([e,n,r,e.style.position]),e.style.position="absolute"):(r=this.endMarker.cloneNode(!0),e.appendChild(r),h.push([e,null,r])));for(a=0,i=h.length;a<i;a++)s=(e=h[a][0]).bbox,l=this.parentNode(e),s.w>=0&&!this.initialSkipBug||this.negativeBBoxes||!e.firstChild?(o=e.offsetWidth,l.HH=l.offsetHeight/this.em):s.w<0&&this.msieNegativeBBoxBug?(o=-e.offsetWidth,l.HH=l.offsetHeight/this.em):o=h[a][2].offsetLeft-((h[a][1]||{}).offsetLeft||0),o/=this.em,s.rw+=o-s.w,s.w=o,s.exactW=!0,l.bbox||(l.bbox=s);for(a=0,i=h.length;a<i;a++)(e=h[a])[1]&&(e[1].parentNode.removeChild(e[1]),e[0].style.position=e[3]),e[2]&&e[2].parentNode.removeChild(e[2])},Em:function(t){return 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r="border"+n.charAt(0).toUpperCase()+n.substr(1);t.style[r+"Style"]&&(s=!0,e[n]=this.border2em(t.style[r+"Width"]||i.LINETHICKNESS.MEDIUM),a[r]=[t.style[r+"Width"],t.style[r+"Style"],t.style[r+"Color"]].join(" "))}return e.css=a,!!s&&e},setBorders:function(t,e){if(e)for(var a in e.css)e.css.hasOwnProperty(a)&&(t.style[a]=e.css[a])},createStrut:function(t,e,a){var i=this.Element("span",{isMathJax:!0,style:{display:"inline-block",overflow:"hidden",height:e+"px",width:"1px",marginRight:"-1px"}});return a?t.insertBefore(i,t.firstChild):t.appendChild(i),i},createBlank:function(t,e,a){var i=this.Element("span",{isMathJax:!0,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(e)}});return e<0&&(i.style.marginRight=i.style.width,i.style.width=0),a?t.insertBefore(i,t.firstChild):t.appendChild(i),i},createShift:function(t,e,a){var i=this.Element("span",{style:{marginLeft:this.Em(e)},isMathJax:!0});return a?t.insertBefore(i,t.firstChild):t.appendChild(i),i},createSpace:function(t,e,s,n,r,o){e<-s&&(s=-e);var l=this.Em(e+s),h=this.Em(-s);if(this.msieInlineBlockAlignBug&&(h=this.Em(a.getHD(t.parentNode,!0).d-s)),t.isBox||o){var d=null==t.scale?1:t.scale;t.bbox={exactW:!0,h:e*d,d:s*d,w:n*d,rw:n*d,lw:0},t.style.height=l,t.style.verticalAlign=h,t.HH=(e+s)*d}else t=this.addElement(t,"span",{style:{height:l,verticalAlign:h},isMathJax:!0});return n>=0?(t.style.width=this.Em(n),t.style.display="inline-block",t.style.overflow="hidden"):(this.msieNegativeSpaceBug&&(t.style.height=""),t.style.marginLeft=this.Em(n),a.safariNegativeSpaceBug&&t.parentNode.firstChild==t&&this.createBlank(t,0,!0)),r&&r!==i.COLOR.TRANSPARENT&&(t.style.backgroundColor=r,t.style.position="relative"),t},createRule:function(t,e,i,s,n){e<-i&&(i=-e);var r=a.TeX.min_rule_thickness,o=1;s>0&&s*this.em<r&&(s=r/this.em),e+i>0&&(e+i)*this.em<r&&(e*=o=1/(e+i)*(r/this.em),i*=o),n=n?"solid "+n:"solid";var l={display:"inline-block",overflow:"hidden",verticalAlign:this.Em(-i)};s>e+i?(l.borderTop=this.Px(e+i)+" "+n,l.width=this.Em(s),l.height=this.msieRuleBug&&e+i>0?this.Em(e+i):0):(l.borderLeft=this.Px(s)+" "+n,l.width=this.msieRuleBug&&s>0?this.Em(s):0,l.height=this.Em(e+i));var h=this.addElement(t,"span",{style:l,noAdjust:!0,HH:e+i,isMathJax:!0,bbox:{h:e,d:i,w:s,rw:s,lw:0,exactW:!0}});return(t.isBox||"mspace"==t.className)&&(t.bbox=h.bbox,t.HH=e+i),h},createFrame:function(t,e,a,i,s,n){e<-a&&(a=-e);var r=2*s;this.msieFrameSizeBug&&(i<r&&(i=r),e+a<r&&(e=r-a)),this.msieBorderWidthBug&&(r=0);var o=this.Em(e+a-r),l=this.Em(-a-s),h=this.Em(i-r),d=this.Px(s)+" "+n,c=this.addElement(t,"span",{style:{border:d,display:"inline-block",overflow:"hidden",width:h,height:o},bbox:{h:e,d:a,w:i,rw:i,lw:0,exactW:!0},noAdjust:!0,HH:e+a,isMathJax:!0});return l&&(c.style.verticalAlign=l),c},parentNode:function(t){var e=t.parentNode;return"a"===e.nodeName.toLowerCase()&&(e=e.parentNode),e},createStack:function(t,e,a){this.msiePaddingWidthBug&&this.createStrut(t,0);var i=String(a).match(/%$/),s=i||null==a?0:a;return t=this.addElement(t,"span",{noAdjust:!0,HH:0,isMathJax:!0,style:{display:"inline-block",position:"relative",width:i?"100%":this.Em(s),height:0}}),e||(t.parentNode.bbox=t.bbox={exactW:!0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:s,lw:this.BIGDIMEN,rw:i||null==a?-this.BIGDIMEN:a},i&&(t.bbox.width=a)),t},createBox:function(t,e){var a=this.addElement(t,"span",{style:{position:"absolute"},isBox:!0,isMathJax:!0});return null!=e&&(a.style.width=e),a},addBox:function(t,e){return e.style.position="absolute",e.isBox=e.isMathJax=!0,t.appendChild(e)},placeBox:function(t,e,i,s){t.isMathJax=!0;var n=a.parentNode(t),r=t.bbox,o=n.bbox;this.msiePlaceBoxBug&&this.addText(t,this.NBSP),this.imgSpaceBug&&this.addText(t,this.imgSpace);var l,h=0;if(null!=t.HH)l=t.HH;else if(r){var d=t.firstChild;l=Math.max(3,3*(d&&d.scale||1),r.h+r.d)}else l=t.offsetHeight/this.em;if(t.noAdjust||(l+=1,l=Math.round(l*this.em)/this.em,this.msieInlineBlockAlignBug?this.addElement(t,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:!0,style:{width:0,height:this.Em(l)}}):(this.addElement(t,"span",{isMathJax:!0,style:{display:"inline-block",width:0,height:this.Em(l)}}),a.chromeHeightBug&&(l-=(t.lastChild.offsetHeight-Math.round(l*this.em))/this.em))),r&&(this.initialSkipBug&&(r.lw<0&&(h=r.lw,a.createBlank(t,-h,!0)),r.rw>r.w&&a.createBlank(t,r.rw-r.w+.1)),!this.msieClipRectBug&&!r.noclip&&!s)){var c=3/this.em,u=l-(null==r.H?r.h:r.H)-c,m=l+(null==r.D?r.d:r.D)+c,p=r.rw+1e3;t.style.clip="rect("+this.Em(u)+" "+this.Em(p)+" "+this.Em(m)+" "+this.Em(-1e3)+")"}t.style.top=this.Em(-i-l),t.style.left=this.Em(e+h),r&&o&&(null!=r.H&&(null==o.H||r.H+i>o.H)&&(o.H=r.H+i),null!=r.D&&(null==o.D||r.D-i>o.D)&&(o.D=r.D-i),r.h+i>o.h&&(o.h=r.h+i),r.d-i>o.d&&(o.d=r.d-i),null!=o.H&&o.H<=o.h&&delete o.H,null!=o.D&&o.D<=o.d&&delete o.D,r.w+e>o.w&&(o.w=r.w+e,null==o.width&&(n.style.width=this.Em(o.w))),r.rw+e>o.rw&&(o.rw=r.rw+e),r.lw+e<o.lw&&(o.lw=r.lw+e),null==r.width||r.isFixed||(null==o.width&&(n.style.width=o.width="100%",r.minWidth&&(n.style.minWidth=o.minWidth=r.minWidth)),t.style.width=r.width),r.tw&&(o.tw=r.tw))},alignBox:function(t,a,i,s,n){if(null==s&&(s=0),this.placeBox(t,s,i),this.msiePlaceBoxBug){for(var r=t.lastChild;r&&"#text"!==r.nodeName;)r=r.previousSibling;r&&t.removeChild(r)}var o=t.bbox;if(!o.isMultiline||n){var l=null!=o.width&&!o.isFixed,h=0,d=s-o.w/2,c="50%";this.initialSkipBug&&(h=o.w-o.rw-.1,d+=o.lw),d=this.msieMarginScaleBug?d*this.em+"px":this.Em(d),l&&(d=0===s?"":this.Em(s),c=50-parseFloat(o.width)/2+"%"),e.Insert(t.style,{right:{left:"",right:this.Em(h-s)},center:{left:c,marginLeft:d}}[a])}},setStackWidth:function(t,e){if("number"==typeof e){t.style.width=this.Em(Math.max(0,e));var a=t.bbox;a&&(a.w=e,a.exactW=!0),(a=t.parentNode.bbox)&&(a.w=e,a.exactW=!0)}else t.style.width=t.parentNode.style.width="100%",t.bbox&&(t.bbox.width=e),t.parentNode.bbox&&(t.parentNode.bbox.width=e)},createDelimiter:function(a,s,n,r,o){if(!s)return a.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0},a.bbox.rw=a.bbox.w,void this.createSpace(a,a.bbox.h,a.bbox.d,a.bbox.w);r||(r=1),n instanceof Array||(n=[n,n]);var l=n[1];n=n[0];for(var h={alias:s};h.alias;)s=h.alias,(h=this.FONTDATA.DELIMITERS[s])||(h={HW:[0,this.FONTDATA.VARIANT[i.VARIANT.NORMAL]]});h.load&&e.RestartAfter(t.Require(this.fontDir+"/fontdata-"+h.load+".js"));for(var d=0,c=h.HW.length;d<c;d++)if(h.HW[d][0]*r>=n-.01||d==c-1&&!h.stretch){h.HW[d][2]&&(r*=h.HW[d][2]),h.HW[d][3]&&(s=h.HW[d][3]);var u=this.addElement(a,"span");return this.createChar(u,[s,h.HW[d][1]],r,o),a.bbox=u.bbox,a.offset=.65*a.bbox.w,void(a.scale=r)}h.stretch&&this["extendDelimiter"+h.dir](a,l,h.stretch,r,o)},extendDelimiterV:function(t,e,a,i,s){var n=this.createStack(t,!0),r=this.createBox(n),o=this.createBox(n);this.createChar(r,a.top||a.ext,i,s),this.createChar(o,a.bot||a.ext,i,s);var l,h={bbox:{w:0,lw:0,rw:0}},d=h,c=r.bbox.h+r.bbox.d+o.bbox.h+o.bbox.d,u=-r.bbox.h;if(this.placeBox(r,0,u,!0),u-=r.bbox.d,a.mid&&(d=this.createBox(n),this.createChar(d,a.mid,i,s),c+=d.bbox.h+d.bbox.d),a.min&&e<c*a.min&&(e=c*a.min),e>c){h=this.Element("span"),this.createChar(h,a.ext,i,s);var m,p,f=h.bbox.h+h.bbox.d,M=f-.05,g=a.mid?2:1;p=m=Math.min(Math.ceil((e-c)/(g*M)),this.maxStretchyParts),a.fullExtenders||(M=(e-c)/(g*m));var b=m/(m+1)*(f-M);for(u+=b+(M=f-b)-h.bbox.h;g-- >0;){for(;m-- >0;)this.msieCloneNodeBug?(l=this.Element("span"),this.createChar(l,a.ext,i,s)):l=h.cloneNode(!0),l.bbox=h.bbox,u-=M,this.placeBox(this.addBox(n,l),0,u,!0);u+=b-h.bbox.d,a.mid&&g&&(this.placeBox(d,0,u-d.bbox.h,!0),m=p,u+=-(d.bbox.h+d.bbox.d)+b+M-h.bbox.h)}}else u+=(c-e)/2,a.mid&&(this.placeBox(d,0,u-d.bbox.h,!0),u+=-(d.bbox.h+d.bbox.d)),u+=(c-e)/2;this.placeBox(o,0,u-o.bbox.h,!0),u-=o.bbox.h+o.bbox.d,t.bbox={w:Math.max(r.bbox.w,h.bbox.w,o.bbox.w,d.bbox.w),lw:Math.min(r.bbox.lw,h.bbox.lw,o.bbox.lw,d.bbox.lw),rw:Math.max(r.bbox.rw,h.bbox.rw,o.bbox.rw,d.bbox.rw),h:0,d:-u,exactW:!0},t.scale=i,t.offset=.55*t.bbox.w,t.isMultiChar=!0,this.setStackWidth(n,t.bbox.w)},extendDelimiterH:function(t,e,a,i,s){var n=this.createStack(t,!0),r=this.createBox(n),o=this.createBox(n);this.createChar(r,a.left||a.rep,i,s),this.createChar(o,a.right||a.rep,i,s);var l=this.Element("span");this.createChar(l,a.rep,i,s);var h,d={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}};this.placeBox(r,-r.bbox.lw,0,!0);var c,u=r.bbox.rw-r.bbox.lw+(o.bbox.rw-o.bbox.lw)-.05,m=r.bbox.rw-r.bbox.lw-.025;if(a.mid&&(d=this.createBox(n),this.createChar(d,a.mid,i,s),u+=d.bbox.w),a.min&&e<u*a.min&&(e=u*a.min),e>u){var p,f,M=l.bbox.rw-l.bbox.lw,g=M-.05,b=a.mid?2:1;for(f=p=Math.min(Math.ceil((e-u)/(b*g)),this.maxStretchyParts),a.fillExtenders||(g=(e-u)/(b*p)),g=M-(c=p/(p+1)*(M-g)),m-=l.bbox.lw+c;b-- >0;){for(;p-- >0;)this.cloneNodeBug?(h=this.Element("span"),this.createChar(h,a.rep,i,s)):h=l.cloneNode(!0),h.bbox=l.bbox,this.placeBox(this.addBox(n,h),m,0,!0),m+=g;a.mid&&b&&(this.placeBox(d,m,0,!0),m+=d.bbox.w-c,p=f)}}else m-=(u-e)/2,a.mid&&(this.placeBox(d,m,0,!0),m+=d.bbox.w),m-=(u-e)/2;m-=o.bbox.lw,this.placeBox(o,m,0,!0),t.bbox={w:m+o.bbox.rw,lw:0,rw:m+o.bbox.rw,h:Math.max(r.bbox.h,l.bbox.h,o.bbox.h,d.bbox.h),d:Math.max(r.bbox.d,l.bbox.d,o.bbox.d,d.bbox.d),exactW:!0},t.scale=i,t.isMultiChar=!0,this.setStackWidth(n,t.bbox.w)},createChar:function(t,e,a,s){t.isMathJax=!0;var n=t,r="",o={fonts:[e[1]],noRemap:!0};if(s&&s===i.VARIANT.BOLD&&(o.fonts=[e[1]+"-bold",e[1]]),"string"!=typeof e[1]&&(o=e[1]),e[0]instanceof Array)for(var l=0,h=e[0].length;l<h;l++)r+=String.fromCharCode(e[0][l]);else r=String.fromCharCode(e[0]);e[4]&&(a*=e[4]),1!==a||e[3]?(n=this.addElement(t,"span",{style:{fontSize:this.Percent(a)},scale:a,isMathJax:!0}),this.handleVariant(n,o,r),t.bbox=n.bbox):this.handleVariant(t,o,r),e[2]&&(t.style.marginLeft=this.Em(e[2])),e[3]&&(t.firstChild.style.verticalAlign=this.Em(e[3]),t.bbox.h+=e[3],t.bbox.h<0&&(t.bbox.h=0)),e[5]&&(t.bbox.h+=e[5]),e[6]&&(t.bbox.d+=e[6]),this.AccentBug&&0===t.bbox.w&&(n.firstChild.nodeValue+=this.NBSP)},positionDelimiter:function(t,e){e-=t.bbox.h,t.bbox.d-=e,t.bbox.h+=e,e&&(this.safariVerticalAlignBug||this.konquerorVerticalAlignBug||this.operaVerticalAlignBug&&t.isMultiChar?(""===t.firstChild.style.display&&""!==t.style.top&&(t=t.firstChild,e-=a.unEm(t.style.top)),t.style.position="relative",t.style.top=this.Em(-e)):(t.style.verticalAlign=this.Em(e),a.ffVerticalAlignBug&&(a.createRule(t.parentNode,t.bbox.h,0,0),delete t.parentNode.bbox)))},handleVariant:function(t,e,s){var n,r,o,h,d="",c=t,u=!!t.style.fontFamily;if(0!==s.length){t.bbox||(t.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}),e||(e=this.FONTDATA.VARIANT[i.VARIANT.NORMAL]),h=e;for(var m=0,p=s.length;m<p;m++){if(e=h,n=s.charCodeAt(m),s.charAt(m),n>=55296&&n<56319){if(m++,n=(n-55296<<10)+(s.charCodeAt(m)-56320)+65536,this.FONTDATA.RemapPlane1){var f=this.FONTDATA.RemapPlane1(n,e);n=f.n,e=f.variant}}else{var M,g,b=this.FONTDATA.RANGES;for(M=0,g=b.length;M<g;M++)if("alpha"!==b[M].name||!e.noLowerCase){var x=e["offset"+b[M].offset];if(x&&n>=b[M].low&&n<=b[M].high){if(b[M].remap&&b[M].remap[n])n=x+b[M].remap[n];else{if(b[M].remapOnly)break;n=n-b[M].low+x,b[M].add&&(n+=b[M].add)}e["variant"+b[M].offset]&&(e=this.FONTDATA.VARIANT[e["variant"+b[M].offset]]);break}}}if(e.remap&&e.remap[n]?(n=e.remap[n],e.remap.variant&&(e=this.FONTDATA.VARIANT[e.remap.variant])):this.FONTDATA.REMAP[n]&&!e.noRemap&&(n=this.FONTDATA.REMAP[n]),l(n)&&(e=this.FONTDATA.VARIANT[n[1]],n=n[0]),"string"!=typeof n){if(r=(o=this.lookupChar(e,n))[n],u||!this.checkFont(o,c.style)&&!r[5].img){d.length&&(this.addText(c,d),d="");var v=!!c.style.fontFamily||!!t.style.fontStyle||!!t.style.fontWeight||!o.directory||u;u=!1,c!==t&&(v=!this.checkFont(o,t.style),c=t),v&&(c=this.addElement(t,"span",{isMathJax:!0,subSpan:!0})),this.handleFont(c,o,c!==t)}d=this.handleChar(c,o,r,n,d),(r[5]||{}).space||(r[0]/1e3>t.bbox.h&&(t.bbox.h=r[0]/1e3),r[1]/1e3>t.bbox.d&&(t.bbox.d=r[1]/1e3)),t.bbox.w+r[3]/1e3<t.bbox.lw&&(t.bbox.lw=t.bbox.w+r[3]/1e3),t.bbox.w+r[4]/1e3>t.bbox.rw&&(t.bbox.rw=t.bbox.w+r[4]/1e3),t.bbox.w+=r[2]/1e3,(r[5]||{}).isUnknown&&(t.bbox.exactW=!1)}else p=(s=n+s.substr(m+1)).length,m=-1}d.length&&this.addText(c,d),t.scale&&1!==t.scale&&(t.bbox.h*=t.scale,t.bbox.d*=t.scale,t.bbox.w*=t.scale,t.bbox.lw*=t.scale,t.bbox.rw*=t.scale),a.isChar(s)&&o.skew&&o.skew[n]&&(t.bbox.skew=o.skew[n])}},checkFont:function(t,e){var a=e.fontWeight||"normal";return a.match(/^\d+$/)&&(a=parseInt(a)>=600?"bold":"normal"),t.family.replace(/'/g,"")===e.fontFamily.replace(/'/g,"")&&((t.style||"normal")===(e.fontStyle||"normal")&&(t.weight||"normal")===a||this.FontFaceBug&&""!==e.fontFamily)},handleFont:function(t,e,i){if(t.style.fontFamily=e.family,e.directory||(t.style.fontSize=Math.floor(a.config.scale/a.scale+.5)+"%"),!a.FontFaceBug||!e.isWebFont){var s=e.style||"normal",n=e.weight||"normal";("normal"!==s||i)&&(t.style.fontStyle=s),("normal"!==n||i)&&(t.style.fontWeight=n)}},handleChar:function(t,e,i,s,n){var r=i[5];if(r.space)return n.length&&this.addText(t,n),a.createShift(t,i[2]/1e3),"";if(r.img)return this.handleImg(t,e,i,s,n);if(r.isUnknown&&this.FONTDATA.DELIMITERS[s]){n.length&&this.addText(t,n);var o=t.scale;return a.createDelimiter(t,s,0,1,e),"V"===this.FONTDATA.DELIMITERS[s].dir&&(t.style.verticalAlign=this.Em(t.bbox.d),t.bbox.h+=t.bbox.d,t.bbox.d=0),t.scale=o,i[0]=1e3*t.bbox.h,i[1]=1e3*t.bbox.d,i[2]=1e3*t.bbox.w,i[3]=1e3*t.bbox.lw,i[4]=1e3*t.bbox.rw,""}if(null==r.c)if(s<=65535)r.c=String.fromCharCode(s);else{var l=s-65536;r.c=String.fromCharCode(55296+(l>>10))+String.fromCharCode(56320+(1023&l))}return a.ffFontOptimizationBug&&i[4]-i[2]>125&&(t.style.textRendering="optimizeLegibility"),r.rfix?(this.addText(t,n+r.c),a.createShift(t,r.rfix/1e3),""):i[2]||!this.msieAccentBug&&!this.combiningCharBug||n.length?n+r.c:this.combiningCharBug?(a.addElement(t,"span",{style:{marginLeft:a.Em(i[3]/1e3)}},[r.c]),""):(a.createShift(t,i[3]/1e3),a.createShift(t,(i[4]-i[3])/1e3),this.addText(t,r.c),a.createShift(t,-i[4]/1e3),"")},handleImg:function(t,e,a,i,s){return s},lookupChar:function(t,e){var i,s;if(!t.FONTS){var n=this.FONTDATA.FONTS,r=t.fonts||this.FONTDATA.VARIANT.normal.fonts;for(r instanceof Array||(r=[r]),t.fonts!=r&&(t.fonts=r),t.FONTS=[],i=0,s=r.length;i<s;i++)n[r[i]]&&(t.FONTS.push(n[r[i]]),n[r[i]].name=r[i])}for(i=0,s=t.FONTS.length;i<s;i++){var o=t.FONTS[i];if("string"==typeof o&&(delete t.FONTS,this.loadFont(o)),o[e]){if(5===o[e].length&&(o[e][5]={}),!a.allowWebFonts||o.available)return o;this.loadWebFont(o)}else this.findBlock(o,e)}return this.unknownChar(t,e)},unknownChar:function(t,i){var s=t.defaultFont||{family:a.config.undefinedFamily};return t.bold&&(s.weight="bold"),t.italic&&(s.style="italic"),s[i]||(s[i]=[800,200,500,0,500,{isUnknown:!0}]),e.signal.Post(["HTML-CSS Jax - unknown char",i,t]),s},isChar:function(t){if(1===t.length)return!0;if(2!==t.length)return!1;var e=t.charCodeAt(0);return e>=55296&&e<56319},findBlock:function(t,e){if(t.Ranges)for(var a=0,i=t.Ranges.length;a<i;a++){if(e<t.Ranges[a][0])return;if(e<=t.Ranges[a][1]){for(var s=t.Ranges[a][2],n=t.Ranges.length-1;n>=0;n--)t.Ranges[n][2]==s&&t.Ranges.splice(n,1);this.loadFont(t.directory+"/"+s+".js")}}},loadFont:function(i){var s=MathJax.Callback.Queue();s.Push(["Require",t,this.fontDir+"/"+i]),this.imgFonts&&(MathJax.isPacked||(i=i.replace(/\/([^\/]*)$/,a.imgPacked+"/$1")),s.Push(["Require",t,this.webfontDir+"/png/"+i])),e.RestartAfter(s.Push({}))},loadWebFont:function(t){t.available=t.isWebFont=!0,a.FontFaceBug&&(t.family=t.name,a.msieFontCSSBug&&(t.family+="-Web")),e.RestartAfter(this.Font.loadWebFont(t))},loadWebFontError:function(a,i){e.Startup.signal.Post("HTML-CSS Jax - disable web fonts"),a.isWebFont=!1,this.config.imageFont&&this.config.imageFont===this.fontInUse?(this.imgFonts=!0,e.Startup.signal.Post("HTML-CSS Jax - switch to image fonts"),e.Startup.signal.Post("HTML-CSS Jax - using image fonts"),h(["WebFontNotAvailable","Web-Fonts not available -- using image fonts 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this.ID++,this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:.430554,quad:1,num1:.676508,num2:.393732,num3:.44373,denom1:.685951,denom2:.344841,sup1:.412892,sup2:.362892,sup3:.288888,sub1:.15,sub2:.247217,sup_drop:.386108,sub_drop:.05,delim1:2.39,delim2:1,axis_height:.25,rule_thickness:.06,big_op_spacing1:.111111,big_op_spacing2:.166666,big_op_spacing3:.2,big_op_spacing4:.6,big_op_spacing5:.1,scriptspace:.1,nulldelimiterspace:.12,delimiterfactor:901,delimitershortfall:.3,min_rule_thickness:1.25},NBSP:" ",rfuzz:0}),MathJax.Hub.Register.StartupHook("mml Jax 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r=this.data[a];r&&(!e&&r.HTMLcanStretch("Vertical")&&(n.push(r),r=r.CoreMO()||r,n[n.length-1].needsBBox=r!==this.data[a]),this.HTMLcombineBBoxes(r,s),a++)}return this.HTMLcleanBBox(s),n},HTMLcombineBBoxes:function(t,e){null==e.w&&this.HTMLemptyBBox(e);var i=t.bbox?t:t.HTMLspanElement();if(i&&i.bbox){var s=i.bbox;s.d>e.d&&(e.d=s.d),s.h>e.h&&(e.h=s.h),null!=s.D&&s.D>e.D&&(e.D=s.D),null!=s.H&&s.H>e.H&&(e.H=s.H),i.style.paddingLeft&&(e.w+=a.unEm(i.style.paddingLeft)*(i.scale||1)),e.w+s.lw<e.lw&&(e.lw=e.w+s.lw),e.w+s.rw>e.rw&&(e.rw=e.w+s.rw),e.w+=s.w,i.style.paddingRight&&(e.w+=a.unEm(i.style.paddingRight)*(i.scale||1)),s.width&&(e.width=s.width,e.minWidth=s.minWidth),s.tw&&(e.tw=s.tw),s.ic?e.ic=s.ic:delete e.ic,e.exactW&&!s.exactW&&(e.exactW=s.exactW)}},HTMLemptyBBox:function(t){return t.h=t.d=t.H=t.D=t.rw=-a.BIGDIMEN,t.w=0,t.lw=a.BIGDIMEN,t},HTMLcleanBBox:function(t){t.h===this.BIGDIMEN&&(t.h=t.d=t.H=t.D=t.w=t.rw=t.lw=0),t.D<=t.d&&delete t.D,t.H<=t.h&&delete 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this.href&&(t=a.addElement(t,"a",{href:this.href,isMathJax:!0})),t=a.addElement(t,"span",{className:this.type,isMathJax:!0}),a.imgHeightBug&&(t.style.display="inline-block"),this.class&&(t.className+=" "+this.class),this.spanID||(this.spanID=a.GetID()),t.id=(this.id||"MathJax-Span-"+this.spanID)+a.idPostfix,t.bbox=this.HTMLzeroBBox(),this.styles={},this.style&&(t.style.cssText=this.style,t.style.fontSize&&(this.mathsize=t.style.fontSize,t.style.fontSize=""),this.styles={border:a.getBorders(t),padding:a.getPadding(t)},this.styles.border&&(t.style.border=""),this.styles.padding&&(t.style.padding="")),this.href&&(t.parentNode.bbox=t.bbox),this.HTMLaddAttributes(t),t},HTMLaddAttributes:function(t){if(this.attrNames)for(var a=this.attrNames,s=i.nocopyAttributes,n=e.config.ignoreMMLattributes,r="mstyle"===this.type?i.math.prototype.defaults:this.defaults,o=0,l=a.length;o<l;o++){var h=a[o];0!=n[h]&&(s[h]||n[h]||null!=r[h]||void 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s=(this.styles||{}).border,n=(this.styles||{}).padding;if(e.color&&!this.mathcolor&&(e.mathcolor=e.color),e.background&&!this.mathbackground&&(e.mathbackground=e.background),e.mathcolor&&(t.style.color=e.mathcolor),e.mathbackground&&e.mathbackground!==i.COLOR.TRANSPARENT||s||n){var r=t.bbox,o=r.exact?0:1/a.em,l=0,h=0,d=t.style.paddingLeft,c=t.style.paddingRight;this.isToken&&(l=r.lw,h=r.rw-r.w),""!==d&&(l+=a.unEm(d)*(t.scale||1)),""!==c&&(h-=a.unEm(c)*(t.scale||1));var u=a.PaddingWidthBug||r.keepPadding||r.exactW?0:h-l,m=Math.max(0,a.getW(t)+u),p=r.h+r.d,f=-r.d,M=0,g=0;m>0&&(m+=2*o,l-=o),p>0&&(p+=2*o,f-=o),h=-m-l,s&&(h-=s.right,f-=s.bottom,M+=s.left,g+=s.right,r.h+=s.top,r.d+=s.bottom,r.w+=s.left+s.right,r.lw-=s.left,r.rw+=s.right),n&&(p+=n.top+n.bottom,m+=n.left+n.right,h-=n.right,f-=n.bottom,M+=n.left,g+=n.right,r.h+=n.top,r.d+=n.bottom,r.w+=n.left+n.right,r.lw-=n.left,r.rw+=n.right),g&&(t.style.paddingRight=a.Em(g));var b=a.Element("span",{id:"MathJax-Color-"+this.spanID+a.idPostfix,isMathJax:!0,style:{display:"inline-block",backgroundColor:e.mathbackground,width:a.Em(m),height:a.Em(p),verticalAlign:a.Em(f),marginLeft:a.Em(l),marginRight:a.Em(h)}});return a.setBorders(b,s),r.width&&(b.style.width=r.width,b.style.marginRight="-"+r.width),a.msieInlineBlockAlignBug&&(b.style.position="relative",b.style.width=b.style.height=0,b.style.verticalAlign=b.style.marginLeft=b.style.marginRight="",b.style.border=b.style.padding="",s&&a.msieBorderWidthBug&&(p+=s.top+s.bottom,m+=s.left+s.right),b.style.width=a.Em(M+o),a.placeBox(a.addElement(b,"span",{noAdjust:!0,isMathJax:!0,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:e.mathbackground||"transparent",width:a.Em(m),height:a.Em(p)}}),l,r.h+o),a.setBorders(b.firstChild,s)),t.parentNode.insertBefore(b,t),a.msieColorPositionBug&&(t.style.position="relative"),b}return null},HTMLremoveColor:function(){var t=document.getElementById("MathJax-Color-"+this.spanID+a.idPostfix);t&&t.parentNode.removeChild(t)},HTMLhandleSpace:function(t){if(this.hasMMLspacing()){if("mo"!==this.type)return;var e=this.getValues("scriptlevel","lspace","rspace");if(e.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var i=this.HTMLgetMu(t);e.lspace=Math.max(0,a.length2em(e.lspace,i)),e.rspace=Math.max(0,a.length2em(e.rspace,i));for(var s=this,n=this.Parent();n&&n.isEmbellished()&&n.Core()===s;)s=n,n=n.Parent(),t=s.HTMLspanElement();e.lspace&&(t.style.paddingLeft=a.Em(e.lspace)),e.rspace&&(t.style.paddingRight=a.Em(e.rspace))}}else{var r=this.texSpacing();""!==r&&(this.HTMLgetScale(),r=a.length2em(r,this.scale)/(t.scale||1)*this.mscale,t.style.paddingLeft&&(r+=a.unEm(t.style.paddingLeft)),t.style.paddingLeft=a.Em(r))}},HTMLgetScale:function(){if(this.scale)return this.scale*this.mscale;var t=1,e=this.getValues("scriptlevel","fontsize");if(e.mathsize=(this.isToken?this:this.Parent()).Get("mathsize"),this.style){var i=this.HTMLspanElement();""!=i.style.fontSize&&(e.fontsize=i.style.fontSize)}return e.fontsize&&!this.mathsize&&(e.mathsize=e.fontsize),0!==e.scriptlevel&&(e.scriptlevel>2&&(e.scriptlevel=2),t=Math.pow(this.Get("scriptsizemultiplier"),e.scriptlevel),e.scriptminsize=a.length2em(this.Get("scriptminsize")),t<e.scriptminsize&&(t=e.scriptminsize)),this.scale=t,this.mscale=a.length2em(e.mathsize),t*this.mscale},HTMLgetMu:function(t){var e=1,a=this.getValues("scriptlevel","scriptsizemultiplier");return t.scale&&1!==t.scale&&(e=1/t.scale),0!==a.scriptlevel&&(a.scriptlevel>2&&(a.scriptlevel=2),e=Math.sqrt(Math.pow(a.scriptsizemultiplier,a.scriptlevel))),e},HTMLgetVariant:function(){var t=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");if(t.hasVariant=this.Get("mathvariant",!0),t.hasVariant||(t.family=t.fontfamily,t.weight=t.fontweight,t.style=t.fontstyle),this.style){var e=this.HTMLspanElement();!t.family&&e.style.fontFamily&&(t.family=e.style.fontFamily),!t.weight&&e.style.fontWeight&&(t.weight=e.style.fontWeight),!t.style&&e.style.fontStyle&&(t.style=e.style.fontStyle)}t.weight&&t.weight.match(/^\d+$/)&&(t.weight=parseInt(t.weight)>600?"bold":"normal");var s=t.mathvariant;return this.variantForm&&(s="-"+a.fontInUse+"-variant"),t.family&&!t.hasVariant?(!t.weight&&t.mathvariant.match(/bold/)&&(t.weight="bold"),!t.style&&t.mathvariant.match(/italic/)&&(t.style="italic"),{FONTS:[],fonts:[],noRemap:!0,defaultFont:{family:t.family,style:t.style,weight:t.weight}}):("bold"===t.weight?s={normal:i.VARIANT.BOLD,italic:i.VARIANT.BOLDITALIC,fraktur:i.VARIANT.BOLDFRAKTUR,script:i.VARIANT.BOLDSCRIPT,"sans-serif":i.VARIANT.BOLDSANSSERIF,"sans-serif-italic":i.VARIANT.SANSSERIFBOLDITALIC}[s]||s:"normal"===t.weight&&(s={bold:i.VARIANT.normal,"bold-italic":i.VARIANT.ITALIC,"bold-fraktur":i.VARIANT.FRAKTUR,"bold-script":i.VARIANT.SCRIPT,"bold-sans-serif":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.SANSSERIFITALIC}[s]||s),"italic"===t.style?s={normal:i.VARIANT.ITALIC,bold:i.VARIANT.BOLDITALIC,"sans-serif":i.VARIANT.SANSSERIFITALIC,"bold-sans-serif":i.VARIANT.SANSSERIFBOLDITALIC}[s]||s:"normal"===t.style&&(s={italic:i.VARIANT.NORMAL,"bold-italic":i.VARIANT.BOLD,"sans-serif-italic":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.BOLDSANSSERIF}[s]||s),s 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n=a.autoloadDir+"/"+s+".js";e.RestartAfter(t.Require(n))},HTMLstretchH:function(t,e){return this.HTMLremoveColor(),this.toHTML(t,e)},HTMLstretchV:function(t,e,a){return this.HTMLremoveColor(),this.toHTML(t,e,a)}}),i.chars.Augment({toHTML:function(t,e,i,s){var n=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(i&&(n=i(n,s)),e.fontInherit){var r=Math.floor(a.config.scale/a.scale+.5)+"%";a.addElement(t,"span",{style:{"font-size":r}},[n]),e.bold&&(t.lastChild.style.fontWeight="bold"),e.italic&&(t.lastChild.style.fontStyle="italic"),t.bbox=null;var o=a.getHD(t),l=a.getW(t);t.bbox={h:o.h,d:o.d,w:l,lw:0,rw:l,exactW:!0}}else this.HTMLhandleVariant(t,e,n)}}),i.entity.Augment({toHTML:function(t,e,i,s){var n=this.toString().replace(/[\u2061-\u2064]/g,"");if(i&&(n=i(n,s)),e.fontInherit){var r=Math.floor(a.config.scale/a.scale+.5)+"%";a.addElement(t,"span",{style:{"font-size":r}},[n]),e.bold&&(t.lastChild.style.fontWeight="bold"),e.italic&&(t.lastChild.style.fontStyle="italic"),delete t.bbox;var o=a.getHD(t),l=a.getW(t);t.bbox={h:o.h,d:o.d,w:l,lw:0,rw:l,exactW:!0}}else this.HTMLhandleVariant(t,e,n)}}),i.mi.Augment({toHTML:function(t){(t=this.HTMLhandleSize(this.HTMLcreateSpan(t))).bbox=null;for(var e=this.HTMLgetVariant(),i=0,s=this.data.length;i<s;i++)this.data[i]&&this.data[i].toHTML(t,e);t.bbox||(t.bbox=this.HTMLzeroBBox());var n=this.data.join(""),r=t.bbox;return r.skew&&!a.isChar(n)&&delete r.skew,r.rw>r.w&&a.isChar(n)&&!e.noIC&&(r.ic=r.rw-r.w,a.createBlank(t,r.ic/this.mscale),r.w=r.rw),this.HTMLhandleSpace(t),this.HTMLhandleColor(t),this.HTMLhandleDir(t),t}}),i.mn.Augment({HTMLremapMinus:function(t){return t.replace(/^-/,"−")},toHTML:function(t){(t=this.HTMLhandleSize(this.HTMLcreateSpan(t))).bbox=null;for(var e=this.HTMLgetVariant(),i=this.HTMLremapMinus,s=0,n=this.data.length;s<n;s++)this.data[s]&&(this.data[s].toHTML(t,e,i),i=null);return t.bbox||(t.bbox=this.HTMLzeroBBox()),a.isChar(this.data.join(""))||delete t.bbox.skew,this.HTMLhandleSpace(t),this.HTMLhandleColor(t),this.HTMLhandleDir(t),t}}),i.mo.Augment({toHTML:function(t){if(t=this.HTMLhandleSize(this.HTMLcreateSpan(t)),0==this.data.length)return t;t.bbox=null;var e=this.data.join(""),s=this.HTMLgetVariant(),n=this.getValues("largeop","displaystyle");n.largeop&&(s=a.FONTDATA.VARIANT[n.displaystyle?"-largeOp":"-smallOp"]);var r=this.CoreParent(),o=r&&r.isa(i.msubsup)&&this!==r.data[r.base],l=o?this.remapChars:null;if(a.isChar(e)&&r&&r.isa(i.munderover)&&a.isChar(this.CoreText(r.data[r.base]))){var h=r.data[r.over],d=r.data[r.under];h&&this===h.CoreMO()&&r.Get("accent")?l=a.FONTDATA.REMAPACCENT:d&&this===d.CoreMO()&&r.Get("accentunder")&&(l=a.FONTDATA.REMAPACCENTUNDER)}o&&e.match(/['`"\u00B4\u2032-\u2037\u2057]/)&&(s=a.FONTDATA.VARIANT["-"+a.fontInUse+"-variant"]);for(var c=0,u=this.data.length;c<u;c++)this.data[c]&&this.data[c].toHTML(t,s,this.remap,l);if(t.bbox||(t.bbox=this.HTMLzeroBBox()),a.isChar(e)||delete t.bbox.skew,a.AccentBug&&0===t.bbox.w&&a.isChar(e)&&t.firstChild&&(t.firstChild.nodeValue+=a.NBSP,a.createSpace(t,0,0,-t.offsetWidth/a.em)),n.largeop){var m=a.TeX.axis_height*this.scale*this.mscale,p=(t.bbox.h-t.bbox.d)/2-m;a.safariVerticalAlignBug&&"IMG"===t.lastChild.nodeName?t.lastChild.style.verticalAlign=a.Em(a.unEm(t.lastChild.style.verticalAlign||0)/a.em-p/t.scale):a.konquerorVerticalAlignBug&&"IMG"===t.lastChild.nodeName?(t.style.position="relative",t.lastChild.style.position="relative",t.lastChild.style.top=a.Em(p/t.scale)):t.style.verticalAlign=a.Em(-p/t.scale),t.bbox.h-=p,t.bbox.d+=p,t.bbox.rw>t.bbox.w&&(t.bbox.ic=t.bbox.rw-t.bbox.w,a.createBlank(t,t.bbox.ic/this.mscale),t.bbox.w=t.bbox.rw)}return this.HTMLhandleSpace(t),this.HTMLhandleColor(t),this.HTMLhandleDir(t),t},HTMLcanStretch:function(t){if(!this.Get("stretchy"))return!1;var e=this.data.join("");if(e.length>1)return!1;var s=this.CoreParent();if(s&&s.isa(i.munderover)&&a.isChar(this.CoreText(s.data[s.base]))){var n=s.data[s.over],r=s.data[s.under];n&&this===n.CoreMO()&&s.Get("accent")?e=a.FONTDATA.REMAPACCENT[e]||e:r&&this===r.CoreMO()&&s.Get("accentunder")&&(e=a.FONTDATA.REMAPACCENTUNDER[e]||e)}var o=(e=a.FONTDATA.DELIMITERS[e.charCodeAt(0)])&&e.dir===t.substr(0,1);return this.forceStretch=o&&(this.Get("minsize",!0)||this.Get("maxsize",!0)),o},HTMLstretchV:function(t,e,i){this.HTMLremoveColor();var s,n=this.getValues("symmetric","maxsize","minsize"),r=this.HTMLspanElement(),o=this.HTMLgetMu(r),l=this.HTMLgetScale(),h=a.TeX.axis_height*l;return s=n.symmetric?2*Math.max(e-h,i+h):e+i,n.maxsize=a.length2em(n.maxsize,o,r.bbox.h+r.bbox.d),n.minsize=a.length2em(n.minsize,o,r.bbox.h+r.bbox.d),(s=Math.max(n.minsize,Math.min(n.maxsize,s)))!=n.minsize&&(s=[Math.max(s*a.TeX.delimiterfactor/1e3,s-a.TeX.delimitershortfall),s]),r=this.HTMLcreateSpan(t),a.createDelimiter(r,this.data.join("").charCodeAt(0),s,l),s=n.symmetric?(r.bbox.h+r.bbox.d)/2+h:(r.bbox.h+r.bbox.d)*e/(e+i),a.positionDelimiter(r,s),this.HTMLhandleSpace(r),this.HTMLhandleColor(r),r},HTMLstretchH:function(t,e){this.HTMLremoveColor();var s=this.getValues("maxsize","minsize","mathvariant","fontweight");("bold"===s.fontweight||parseInt(s.fontweight)>=600)&&!this.Get("mathvariant",!0)&&(s.mathvariant=i.VARIANT.BOLD);var n=this.HTMLspanElement(),r=this.HTMLgetMu(n),o=n.scale;return s.maxsize=a.length2em(s.maxsize,r,n.bbox.w),s.minsize=a.length2em(s.minsize,r,n.bbox.w),e=Math.max(s.minsize,Math.min(s.maxsize,e)),n=this.HTMLcreateSpan(t),a.createDelimiter(n,this.data.join("").charCodeAt(0),e,o,s.mathvariant),this.HTMLhandleSpace(n),this.HTMLhandleColor(n),n}}),i.mtext.Augment({toHTML:function(t){t=this.HTMLhandleSize(this.HTMLcreateSpan(t));var e=this.HTMLgetVariant();if(a.config.mtextFontInherit||"merror"===this.Parent().type){var i=this.Get("mathvariant");"monospace"===i?t.className+=" MJX-monospace":i.match(/sans-serif/)&&(t.className+=" MJX-sans-serif"),e={bold:e.bold,italic:e.italic,fontInherit:!0}}for(var s=0,n=this.data.length;s<n;s++)this.data[s]&&this.data[s].toHTML(t,e);return t.bbox||(t.bbox=this.HTMLzeroBBox()),a.isChar(this.data.join(""))||delete t.bbox.skew,this.HTMLhandleSpace(t),this.HTMLhandleColor(t),this.HTMLhandleDir(t),t}}),i.merror.Augment({toHTML:function(t){var e=MathJax.HTML.addElement(t,"span",{style:{display:"inline-block"}});t=this.SUPER(arguments).toHTML.call(this,e);var i=a.getHD(e),s=a.getW(e);return e.bbox={h:i.h,d:i.d,w:s,lw:0,rw:s,exactW:!0},e.id=t.id,t.id=null,e}}),i.ms.Augment({toHTML:i.mbase.HTMLautoload}),i.mglyph.Augment({toHTML:i.mbase.HTMLautoload}),i.mspace.Augment({toHTML:function(t){t=this.HTMLcreateSpan(t);var e=this.getValues("height","depth","width"),i=this.HTMLgetMu(t);this.HTMLgetScale(),e.mathbackground=this.mathbackground,this.background&&!this.mathbackground&&(e.mathbackground=this.background);var s=a.length2em(e.height,i)*this.mscale,n=a.length2em(e.depth,i)*this.mscale,r=a.length2em(e.width,i)*this.mscale;return a.createSpace(t,s,n,r,e.mathbackground,!0),t}}),i.mphantom.Augment({toHTML:function(t,e,i){if(t=this.HTMLcreateSpan(t),null!=this.data[0]){var s=this.data[0].toHTML(t);null!=i?a.Remeasured(this.data[0].HTMLstretchV(t,e,i),t):null!=e?a.Remeasured(this.data[0].HTMLstretchH(t,e),t):s=a.Measured(s,t),t.bbox={w:s.bbox.w,h:s.bbox.h,d:s.bbox.d,lw:0,rw:0,exactW:!0};for(var n=0,r=t.childNodes.length;n<r;n++)t.childNodes[n].style.visibility="hidden"}return this.HTMLhandleSpace(t),this.HTMLhandleColor(t),t},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV}),i.mpadded.Augment({toHTML:function(t,e,i){if(t=this.HTMLcreateSpan(t),null!=this.data[0]){var s=a.createStack(t,!0),n=a.createBox(s),r=this.data[0].toHTML(n);null!=i?a.Remeasured(this.data[0].HTMLstretchV(n,e,i),n):null!=e?a.Remeasured(this.data[0].HTMLstretchH(n,e),n):a.Measured(r,n);var o=this.getValues("height","depth","width","lspace","voffset"),l=0,h=0,d=this.HTMLgetMu(t);this.HTMLgetScale(),o.lspace&&(l=this.HTMLlength2em(n,o.lspace,d)),o.voffset&&(h=this.HTMLlength2em(n,o.voffset,d)),a.placeBox(n,l,h),l/=this.mscale,h/=this.mscale,t.bbox={h:n.bbox.h,d:n.bbox.d,w:n.bbox.w,exactW:!0,lw:n.bbox.lw+l,rw:n.bbox.rw+l,H:Math.max(null==n.bbox.H?-a.BIGDIMEN:n.bbox.H+h,n.bbox.h+h),D:Math.max(null==n.bbox.D?-a.BIGDIMEN:n.bbox.D-h,n.bbox.d-h)},""!==o.height&&(t.bbox.h=this.HTMLlength2em(n,o.height,d,"h",0)),""!==o.depth&&(t.bbox.d=this.HTMLlength2em(n,o.depth,d,"d",0)),""!==o.width&&(t.bbox.w=this.HTMLlength2em(n,o.width,d,"w",0)),t.bbox.H<=t.bbox.h&&delete t.bbox.H,t.bbox.D<=t.bbox.d&&delete t.bbox.D;var c=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;t.bbox.exact=!!(this.data[0]&&0==this.data[0].data.length||c.exec(o.height)||c.exec(o.width)||c.exec(o.depth)),a.setStackWidth(s,t.bbox.w)}return this.HTMLhandleSpace(t),this.HTMLhandleColor(t),t},HTMLlength2em:function(t,e,i,s,n){null==n&&(n=-a.BIGDIMEN);var r=String(e).match(/width|height|depth/),o=r?t.bbox[r[0].charAt(0)]:s?t.bbox[s]:0,l=a.length2em(e,i,o/this.mscale)*this.mscale;return s&&String(e).match(/^\s*[-+]/)?Math.max(n,t.bbox[s]+l):l},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV}),i.mrow.Augment({HTMLlineBreaks:function(t){return!!this.parent.linebreakContainer&&(a.config.linebreaks.automatic&&t.bbox.w>a.linebreakWidth||this.hasNewline())},HTMLstretchH:function(t,e){this.HTMLremoveColor();var a=this.HTMLspanElement();return this.data[this.core].HTMLstretchH(a,e),this.HTMLcomputeBBox(a,!0),this.HTMLhandleColor(a),a},HTMLstretchV:function(t,e,a){this.HTMLremoveColor();var i=this.HTMLspanElement();return this.data[this.core].HTMLstretchV(i,e,a),this.HTMLcomputeBBox(i,!0),this.HTMLhandleColor(i),i}}),i.mstyle.Augment({toHTML:function(t,e,a){if(t=this.HTMLcreateSpan(t),null!=this.data[0]){var i=this.data[0].toHTML(t);null!=a?this.data[0].HTMLstretchV(t,e,a):null!=e&&this.data[0].HTMLstretchH(t,e),t.bbox=i.bbox}return this.HTMLhandleSpace(t),this.HTMLhandleColor(t),t},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV}),i.mfrac.Augment({toHTML:function(t){t=this.HTMLcreateSpan(t);var e=a.createStack(t),i=a.createBox(e),s=a.createBox(e);a.MeasureSpans([this.HTMLboxChild(0,i),this.HTMLboxChild(1,s)]);var n=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled"),r=this.HTMLgetScale(),o=n.displaystyle,l=a.TeX.axis_height*r;if(n.bevelled){var h=o?.4:.15,d=Math.max(i.bbox.h+i.bbox.d,s.bbox.h+s.bbox.d)+2*h,c=a.createBox(e);a.createDelimiter(c,47,d),a.placeBox(i,0,(i.bbox.d-i.bbox.h)/2+l+h),a.placeBox(c,i.bbox.w-h/2,(c.bbox.d-c.bbox.h)/2+l),a.placeBox(s,i.bbox.w+c.bbox.w-h,(s.bbox.d-s.bbox.h)/2+l-h)}else{var u,m,p,f,M=Math.max(i.bbox.w,s.bbox.w),g=a.thickness2em(n.linethickness,this.scale)*this.mscale,b=a.TeX.min_rule_thickness/this.em;if(o?(p=a.TeX.num1,f=a.TeX.denom1):(p=0===g?a.TeX.num3:a.TeX.num2,f=a.TeX.denom2),p*=r,f*=r,0===g)u=Math.max((o?7:3)*a.TeX.rule_thickness,2*b),(m=p-i.bbox.d-(s.bbox.h-f))<u&&(p+=(u-m)/2,f+=(u-m)/2);else{u=Math.max((o?2:0)*b+g,g/2+1.5*b),(m=p-i.bbox.d-(l+g/2))<u&&(p+=u-m),(m=l-g/2-(s.bbox.h-f))<u&&(f+=u-m);var x=a.createBox(e);a.createRule(x,g,0,M+2*g),a.placeBox(x,0,l-g/2)}a.alignBox(i,n.numalign,p,0,!0),a.alignBox(s,n.denomalign,-f,0,!0)}return this.HTMLhandleSpace(t),this.HTMLhandleColor(t),t},HTMLcanStretch:function(t){return!1},HTMLhandleSpace:function(t){if(!this.texWithDelims){var e=a.TeX.nulldelimiterspace*this.mscale,i=t.childNodes[a.msiePaddingWidthBug?1:0].style;i.marginLeft=i.marginRight=a.Em(e),t.bbox.w+=2*e,t.bbox.rw+=2*e}this.SUPER(arguments).HTMLhandleSpace.call(this,t)}}),i.msqrt.Augment({toHTML:function(t){t=this.HTMLcreateSpan(t);var e,i,s,n,r=a.createStack(t),o=a.createBox(r),l=a.createBox(r),h=a.createBox(r),d=this.HTMLgetScale(),c=a.TeX.rule_thickness*d;e=this.Get("displaystyle")?a.TeX.x_height*d:c,i=Math.max(c+e/4,1.5*a.TeX.min_rule_thickness/this.em);var u=this.HTMLboxChild(0,o);s=u.bbox.h+u.bbox.d+i+c,a.createDelimiter(h,8730,s,d),a.MeasureSpans([u,h]),n=u.bbox.w;var m=0;(h.isMultiChar||a.AdjustSurd&&a.imgFonts)&&(h.bbox.w*=.95),h.bbox.h+h.bbox.d>s&&(i=(h.bbox.h+h.bbox.d-(s-c))/2);var p=a.FONTDATA.DELIMITERS[a.FONTDATA.RULECHAR];return!p||n<(p.HW[0]||[0])[0]*d||d<.75?(a.createRule(l,0,c,n),l.bbox.h=-c):a.createDelimiter(l,a.FONTDATA.RULECHAR,n,d),i=(s=u.bbox.h+i+c)*a.rfuzz,h.isMultiChar&&(i=a.rfuzz),m=this.HTMLaddRoot(r,h,m,h.bbox.h+h.bbox.d-s,d),a.placeBox(h,m,s-h.bbox.h),a.placeBox(l,m+h.bbox.w,s-l.bbox.h+i),a.placeBox(o,m+h.bbox.w,0),this.HTMLhandleSpace(t),this.HTMLhandleColor(t),t},HTMLaddRoot:function(t,e,a,i,s){return a}}),i.mroot.Augment({toHTML:i.msqrt.prototype.toHTML,HTMLaddRoot:function(t,e,i,s,n){var r=a.createBox(t);if(this.data[1]){var o=this.data[1].toHTML(r);o.style.paddingRight=o.style.paddingLeft="",a.Measured(o,r)}else r.bbox=this.HTMLzeroBBox();var l=this.HTMLrootHeight(e.bbox.h+e.bbox.d,n,r)-s,h=Math.min(r.bbox.w,r.bbox.rw);return i=Math.max(h,e.offset),a.placeBox(r,i-h,l),i-e.offset},HTMLrootHeight:function(t,e,a){return.45*(t-.9*e)+.6*e+Math.max(0,a.bbox.d-.075)}}),i.mfenced.Augment({toHTML:function(t){t=this.HTMLcreateSpan(t),this.data.open&&this.data.open.toHTML(t),null!=this.data[0]&&this.data[0].toHTML(t);for(var e=1,a=this.data.length;e<a;e++)this.data[e]&&(this.data["sep"+e]&&this.data["sep"+e].toHTML(t),this.data[e].toHTML(t));this.data.close&&this.data.close.toHTML(t);var i=this.HTMLcomputeBBox(t),s=t.bbox.h,n=t.bbox.d;for(e=0,a=i.length;e<a;e++)i[e].HTMLstretchV(t,s,n);return i.length&&this.HTMLcomputeBBox(t,!0),this.HTMLhandleSpace(t),this.HTMLhandleColor(t),t},HTMLcomputeBBox:function(t,e){var a=t.bbox={},i=[];this.HTMLcheckStretchy(this.data.open,a,i,e),this.HTMLcheckStretchy(this.data[0],a,i,e);for(var s=1,n=this.data.length;s<n;s++)this.data[s]&&(this.HTMLcheckStretchy(this.data["sep"+s],a,i,e),this.HTMLcheckStretchy(this.data[s],a,i,e));return this.HTMLcheckStretchy(this.data.close,a,i,e),this.HTMLcleanBBox(a),i},HTMLcheckStretchy:function(t,e,a,i){t&&(!i&&t.HTMLcanStretch("Vertical")&&(a.push(t),t=t.CoreMO()||t),this.HTMLcombineBBoxes(t,e))}}),i.menclose.Augment({toHTML:i.mbase.HTMLautoload}),i.maction.Augment({toHTML:i.mbase.HTMLautoload}),i.semantics.Augment({toHTML:function(t,e,a){if(t=this.HTMLcreateSpan(t),null!=this.data[0]){var i=this.data[0].toHTML(t);null!=a?this.data[0].HTMLstretchV(t,e,a):null!=e&&this.data[0].HTMLstretchH(t,e),t.bbox=i.bbox}return this.HTMLhandleSpace(t),t},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV}),i.munderover.Augment({toHTML:function(t,e,s){var n=this.getValues("displaystyle","accent","accentunder","align"),r=this.data[this.base];if(!n.displaystyle&&null!=r&&(r.movablelimits||r.CoreMO().Get("movablelimits")))return i.msubsup.prototype.toHTML.call(this,t);t=this.HTMLcreateSpan(t);var o,l,h,d=this.HTMLgetScale(),c=a.createStack(t),u=[],m=[],p=[];for(l=0,h=this.data.length;l<h;l++)null!=this.data[l]&&(o=u[l]=a.createBox(c),m[l]=this.data[l].toHTML(o),l==this.base?(null!=s?this.data[this.base].HTMLstretchV(o,e,s):null!=e&&this.data[this.base].HTMLstretchH(o,e),p[l]=(null!=s||null==e)&&this.data[l].HTMLcanStretch("Horizontal"),this.data[this.over]&&n.accent&&(m[l].bbox.h=Math.max(m[l].bbox.h,d*a.TeX.x_height))):(p[l]=this.data[l].HTMLcanStretch("Horizontal"),m[l].style.paddingLeft=m[l].style.paddingRight=""));a.MeasureSpans(m);var f=-a.BIGDIMEN,M=f;for(l=0,h=this.data.length;l<h;l++)this.data[l]&&(u[l].bbox.w>M&&(M=u[l].bbox.w),!p[l]&&M>f&&(f=M));for(null==s&&null!=e?f=e:f==-a.BIGDIMEN&&(f=M),l=M=0,h=this.data.length;l<h;l++)this.data[l]&&(o=u[l],p[l]&&(o.bbox=this.data[l].HTMLstretchH(o,f).bbox,l!==this.base&&(m[l].style.paddingLeft=m[l].style.paddingRight="")),o.bbox.w>M&&(M=o.bbox.w));var g,b,x,v,T,E,L=a.TeX.rule_thickness*this.mscale,y=a.FONTDATA.TeX_factor,C=0;for((r=u[this.base]||{bbox:this.HTMLzeroBBox()}).bbox.ic&&(C=1.3*r.bbox.ic+.05),l=0,h=this.data.length;l<h;l++)if(null!=this.data[l]){o=u[l],T=a.TeX.big_op_spacing5*d;var A=l!=this.base&&n[this.ACCENTS[l]];A&&o.bbox.w<=1/a.em+1e-4&&(o.bbox.w=o.bbox.rw-o.bbox.lw,o.bbox.noclip=!0,o.bbox.lw&&o.insertBefore(a.createSpace(o.parentNode,0,0,-o.bbox.lw),o.firstChild),a.createBlank(o,0,0,o.bbox.rw+.1)),g={left:0,center:(M-o.bbox.w)/2,right:M-o.bbox.w}[n.align],b=0,l==this.over?(A?(E=Math.max(L*d*y,2.5/this.em),T=0,r.bbox.skew&&(g+=r.bbox.skew,t.bbox.skew=r.bbox.skew,g+o.bbox.w>M&&(t.bbox.skew+=(M-o.bbox.w-g)/2))):(x=a.TeX.big_op_spacing1*d*y,v=a.TeX.big_op_spacing3*d*y,E=Math.max(x,v-Math.max(0,o.bbox.d))),E=Math.max(E,1.5/this.em),g+=C/2,b=r.bbox.h+o.bbox.d+E,o.bbox.h+=T):l==this.under&&(A?(E=3*L*d*y,T=0):(x=a.TeX.big_op_spacing2*d*y,v=a.TeX.big_op_spacing4*d*y,E=Math.max(x,v-o.bbox.h)),E=Math.max(E,1.5/this.em),g-=C/2,b=-(r.bbox.d+o.bbox.h+E),o.bbox.d+=T),a.placeBox(o,g,b)}return this.HTMLhandleSpace(t),this.HTMLhandleColor(t),t},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV}),i.msubsup.Augment({toHTML:function(t,e,i){t=this.HTMLcreateSpan(t);var s,n=this.HTMLgetScale(),r=this.HTMLgetMu(t),o=a.createStack(t),l=[],h=a.createBox(o);this.data[this.base]?(l.push(this.data[this.base].toHTML(h)),null!=i?this.data[this.base].HTMLstretchV(h,e,i):null!=e&&this.data[this.base].HTMLstretchH(h,e)):h.bbox=this.HTMLzeroBBox();var d,c,u=a.TeX.x_height*n,m=a.TeX.scriptspace*n*.75;this.HTMLnotEmpty(this.data[this.sup])&&(d=a.createBox(o),l.push(this.data[this.sup].toHTML(d))),this.HTMLnotEmpty(this.data[this.sub])&&(c=a.createBox(o),l.push(this.data[this.sub].toHTML(c))),a.MeasureSpans(l),d&&(d.bbox.w+=m,d.bbox.rw=Math.max(d.bbox.w,d.bbox.rw)),c&&(c.bbox.w+=m,c.bbox.rw=Math.max(c.bbox.w,c.bbox.rw)),a.placeBox(h,0,0);var p=n;d?p=this.data[this.sup].HTMLgetScale():c&&(p=this.data[this.sub].HTMLgetScale());var f,M=a.TeX.sup_drop*p,g=a.TeX.sub_drop*p,b=h.bbox.h-M,x=h.bbox.d+g,v=0;h.bbox.ic&&(h.bbox.w-=h.bbox.ic,v=1.3*h.bbox.ic+.05),!this.data[this.base]||null!=e||null!=i||"mi"!==this.data[this.base].type&&"mo"!==this.data[this.base].type||a.isChar(this.data[this.base].data.join(""))&&1===l[0].scale&&!this.data[this.base].Get("largeop")&&(b=x=0);var T=this.getValues("subscriptshift","superscriptshift");if(T.subscriptshift=""===T.subscriptshift?0:a.length2em(T.subscriptshift,r),T.superscriptshift=""===T.superscriptshift?0:a.length2em(T.superscriptshift,r),d)if(c){x=Math.max(x,a.TeX.sub2*n);var E=a.TeX.rule_thickness*n;b-d.bbox.d-(c.bbox.h-x)<3*E&&(x=3*E-b+d.bbox.d+c.bbox.h,(M=.8*u-(b-d.bbox.d))>0&&(b+=M,x-=M)),a.placeBox(d,h.bbox.w+v,Math.max(b,T.superscriptshift)),a.placeBox(c,h.bbox.w,-Math.max(x,T.subscriptshift))}else s=this.getValues("displaystyle","texprimestyle"),f=a.TeX[s.displaystyle?"sup1":s.texprimestyle?"sup3":"sup2"],b=Math.max(b,f*n,d.bbox.d+1/4*u,T.superscriptshift),a.placeBox(d,h.bbox.w+v,b,d.bbox);else c&&(x=Math.max(x,a.TeX.sub1*n,c.bbox.h-.8*u,T.subscriptshift),a.placeBox(c,h.bbox.w,-x,c.bbox));return this.HTMLhandleSpace(t),this.HTMLhandleColor(t),t},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV}),i.mmultiscripts.Augment({toHTML:i.mbase.HTMLautoload}),i.mtable.Augment({toHTML:i.mbase.HTMLautoload}),i["annotation-xml"].Augment({toHTML:i.mbase.HTMLautoload}),i.annotation.Augment({toHTML:function(t){return this.HTMLcreateSpan(t)}}),i.math.Augment({toHTML:function(t,s,n){var r,o,l,h,d=t;if(n&&n!==a.PHASE.I)t=t.firstChild.firstChild,this.href&&(t=t.firstChild),"relative"!==(r=t.firstChild).style.position&&(r=r.nextSibling),l=(o=r.firstChild).firstChild;else{var c=a.addElement(t,"nobr",{isMathJax:!0});t=this.HTMLcreateSpan(c);var u=this.Get("alttext");u&&!t.getAttribute("aria-label")&&t.setAttribute("aria-label",u),r=a.createStack(t),o=a.createBox(r),r.style.fontSize=c.parentNode.style.fontSize,c.parentNode.style.fontSize="",null!=this.data[0]&&(i.mbase.prototype.displayAlign=e.config.displayAlign,i.mbase.prototype.displayIndent=e.config.displayIndent,String(e.config.displayIndent).match(/^0($|[a-z%])/i)&&(i.mbase.prototype.displayIndent="0"),(l=this.data[0].toHTML(o)).bbox.exactW=!1)}if(h=n&&n!==a.PHASE.II?l:a.Measured(l,o),!n||n===a.PHASE.III){a.placeBox(o,0,0);var m=h.bbox.w;m=Math.abs(m)<.006?0:Math.max(0,Math.round(m*this.em)+.25),t.style.width=a.EmRounded(m/a.outerEm),t.style.display="inline-block";var p=1/a.em,f=a.em/a.outerEm;a.em/=f,t.bbox.h*=f,t.bbox.d*=f,t.bbox.w*=f,t.bbox.lw*=f,t.bbox.rw*=f,t.bbox.H&&(t.bbox.H*=f),t.bbox.D&&(t.bbox.D*=f),h&&null!=h.bbox.width&&(t.style.minWidth=h.bbox.minWidth||t.style.width,t.style.width=h.bbox.width,o.style.width=r.style.width="100%",d.className+=" 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v=parseFloat(M.style.marginLeft||"0")+b,T=parseFloat(M.style.marginRight||"0")-b;M.style.marginLeft=a.Em(v),M.style.marginRight=a.Em(T+("right"===g.indentalign?t.bbox.w+b-t.bbox.w:0)),a.msieColorBug&&"right"===g.indentalign&&(parseFloat(M.style.marginLeft)>0&&(MathJax.HTML.addElement(M.parentNode,"span").style.marginLeft=a.Em(T+Math.min(0,t.bbox.w+b)),M.nextSibling.style.marginRight="0em"),M.nextSibling.style.marginLeft="0em",M.style.marginRight=M.style.marginLeft="0em")}}}return t},HTMLspanElement:i.mbase.prototype.HTMLspanElement}),i.TeXAtom.Augment({toHTML:function(t,e,s){if(t=this.HTMLcreateSpan(t),null!=this.data[0])if(this.texClass===i.TEXCLASS.VCENTER){var n=a.createStack(t),r=a.createBox(n),o=this.data[0].toHTML(r);null!=s?a.Remeasured(this.data[0].HTMLstretchV(r,e,s),r):null!=e?a.Remeasured(this.data[0].HTMLstretchH(r,e),r):a.Measured(o,r);var l=a.TeX.axis_height*this.HTMLgetScale();a.placeBox(r,0,l-(r.bbox.h+r.bbox.d)/2+r.bbox.d)}else{var h=this.data[0].toHTML(t,e,s);null!=s?h=this.data[0].HTMLstretchV(r,e,s):null!=e&&(h=this.data[0].HTMLstretchH(r,e)),t.bbox=h.bbox}return this.HTMLhandleSpace(t),this.HTMLhandleColor(t),t},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV}),e.Register.StartupHook("onLoad",(function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)}))})),e.Register.StartupHook("End Config",(function(){e.Browser.Select({MSIE:function(t){var e=document.documentMode||0,i=t.versionAtLeast("7.0"),s=t.versionAtLeast("8.0")&&e>7,n="BackCompat"===document.compatMode;e<9&&(a.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white",a.config.styles[".MathJax .MathJax_HitBox"].opacity=0,a.config.styles[".MathJax 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i=t.versionAtLeast("3.0"),s=t.versionAtLeast("3.1"),n=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/),r=navigator.appVersion.match(/ Android (\d+)\.(\d+)/),o=s&&t.isMobile&&(navigator.platform.match(/iPad|iPod|iPhone/)&&!t.versionAtLeast("5.0")||null!=r&&(r[1]<2||2==r[1]&&r[2]<2));if(a.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},Em:(t.webkit||0)>=538?a.EmRounded:a.Em,rfuzz:.011,AccentBug:!0,AdjustSurd:!0,negativeBBoxes:!0,safariNegativeSpaceBug:!0,safariVerticalAlignBug:!s,safariTextNodeBug:!i,forceReflow:!0,FontFaceBug:!0,combiningCharBug:parseInt(t.webkit)>=602,allowWebFonts:!(!s||o)&&"otf"}),n&&a.Augment({webFontDefault:t.isMobile?"sans-serif":"serif"}),t.isPC&&a.Augment({adjustAvailableFonts:a.removeSTIXfonts,checkWebFontsTwice:!0}),o){var l=e.config["HTML-CSS"];l?(l.availableFonts=[],l.preferredFont=null):e.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}},Chrome:function(t){a.Augment({Em:a.EmRounded,cloneNodeBug:!0,rfuzz:-.02,AccentBug:!0,AdjustSurd:!0,FontFaceBug:t.versionAtLeast("32.0"),negativeBBoxes:!0,safariNegativeSpaceBug:!0,safariWebFontSerif:[""],forceReflow:!0,allowWebFonts:t.versionAtLeast("4.0")?"otf":"svg"})},Opera:function(t){t.isMini=null!=navigator.appVersion.match("Opera Mini"),a.config.styles[".MathJax .merror"]["vertical-align"]=null,a.config.styles[".MathJax span"]["z-index"]=0,a.Augment({operaHeightBug:!0,operaVerticalAlignBug:!0,operaFontSizeBug:t.versionAtLeast("10.61"),initialSkipBug:!0,FontFaceBug:!0,PaddingWidthBug:!0,allowWebFonts:!(!t.versionAtLeast("10.0")||t.isMini)&&"otf",adjustAvailableFonts:a.removeSTIXfonts})},Konqueror:function(t){a.Augment({konquerorVerticalAlignBug:!0})}})})),MathJax.Hub.Register.StartupHook("End Cookie",(function(){"None"!==e.config.menuSettings.zoom&&t.Require("[MathJax]/extensions/MathZoom.js")}))}(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]),MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",(function(){var t=MathJax.ElementJax.mml,e=MathJax.OutputJax["HTML-CSS"];t.mtable.Augment({toHTML:function(a){if(a=this.HTMLcreateSpan(a),0===this.data.length)return a;var i,s,n,r,o,l,h,d,c,u=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing"),m=u.width.match(/%$/),p=e.createStack(a),f=this.HTMLgetScale(),M=this.HTMLgetMu(a),g=-1,b=[],x=[],v=[],T=[],E=[],L=-1,y=[],C=e.FONTDATA.lineH*f*u.useHeight,A=e.FONTDATA.lineD*f*u.useHeight;for(i=0,n=this.data.length;i<n;i++)for(o="mlabeledtr"===(l=this.data[i]).type?g:0,T[i]=[],b[i]=C,x[i]=A,s=o,r=l.data.length+o;s<r;s++)null==v[s]&&(s>L&&(L=s),E[s]=e.createStack(e.createBox(p)),v[s]=-e.BIGDIMEN),T[i][s]=e.createBox(E[s]),y.push(l.data[s-o].toHTML(T[i][s]));for(e.MeasureSpans(y),i=0,n=this.data.length;i<n;i++)for(s=o="mlabeledtr"===(l=this.data[i]).type?g:0,r=l.data.length+o;s<r;s++){if((h=l.data[s-o]).isMultiline&&(T[i][s].style.width="100%"),h.isEmbellished()){var S=(d=h.CoreMO()).Get("minsize",!0);if(S){var w=d.HTMLspanElement().bbox;d.HTMLcanStretch("Vertical")?(c=w.h+w.d)&&((S=e.length2em(S,M,c))*w.h/c>b[i]&&(b[i]=S*w.h/c),S*w.d/c>x[i]&&(x[i]=S*w.d/c)):d.HTMLcanStretch("Horizontal")&&(S=e.length2em(S,M,w.w))>v[s]&&(v[s]=S)}}T[i][s].bbox.h>b[i]&&(b[i]=T[i][s].bbox.h),T[i][s].bbox.d>x[i]&&(x[i]=T[i][s].bbox.d),T[i][s].bbox.w>v[s]&&(v[s]=T[i][s].bbox.w)}var 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