instiki/public/MathJax/jax/output/HTML-CSS/jax.js

/*
 *  ../SourceForge/trunk/mathjax/jax/output/HTML-CSS/jax.js
 *  
 *  Copyright (c) 2010 Design Science, Inc.
 *
 *  Part of the MathJax library.
 *  See http://www.mathjax.org for details.
 * 
 *  Licensed under the Apache License, Version 2.0;
 *  you may not use this file except in compliance with the License.
 *
 *      http://www.apache.org/licenses/LICENSE-2.0
 */

MathJax.Unpack([
  ['(','function(','a,c,d,e){var b=','MathJax','.Object.Subclass({timeout:5*1000,FontInfo:{STIX:{family:"STIXSizeOneSym",','testString',':"() {} []"},TeX:{family:"MathJax_Size1",',5,':"() {} []"}},','comparisonFont',':["sans-serif","monospace","script","Times","Courier","Arial","Helvetica"],testSize:["40px","50px","60px","30px","20px"],Init:','function(){','this.div','=','MathJax.HTML.','addElement','(','document.body',',"div','",{style:{','position:"absolute','",','visibility:"hidden",','top:0,left:0,','width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal','",','fontSize',':','this.testSize','[0],','fontWeight',':"normal",','fontStyle',':"normal"}},[""]);this.text=',12,'.firstChild','},findFont:',1,'j,g){if(g&&this.','testCollection','(g)){','return g','}for(var ','h=0,f=j','.length;h<f;h++){','if(j[h]===g','){continue}','if(this.',39,'(j[h])){return j[h',']}}return null},',39,':',1,'f','){return',' this.testFont(this.FontInfo[f])},testFont:',1,'h){if(h.','isWebFont','&&e.FontFaceBug){','this.div.style.',30,'=',61,32,'="normal"}else{',61,30,'=(h.weight||"normal");',61,32,'=(h.style||"normal")}','var g=this.','getComparisonWidths','(h.',5,',','h.noStyleChar',');if(g){',61,'fontFamily="\'"+h.family+"\',"+this.comparisonFont[','0];if(','this.div.offsetWidth','==g[0]){',61,81,'g[2]];if(',83,'==g[1]){','return false','}}if(',83,'!=g[3]){if(',78,'||!e.FONTDATA||!','e.FONTDATA.','hasStyleChar',55,' true',42,'j=0,f=',28,'.length;','j<f;j++){',47,'testStyleChar','(h,',28,'[j])){return true}}}}',90,'},styleChar:','String.fromCharCode(','61437),','versionChar',':',112,'61438),compChar:',112,'61439),',106,':',1,'h,j){var m=3+(h.weight?2:0)+(h.style?4:0);var g="",i=0;var l=',61,26,';',61,26,'=j;if(e.msieItalicWidthBug&&h.style==="italic"){this.text.nodeValue=g=','this.compChar',';i=',83,'}','if(e.safariTextNodeBug){this.div.innerHTML=',130,'+g','}else{this.text.nodeValue=',130,'+g}','var f=',83,'-i;',134,'this.styleChar','+g',137,144,'+g}var k','=Math.floor((',83,'-i)/f+0.5);if(k===m){',134,'this.',114,'+g',137,'this.',114,'+g}h.version',149,83,'-i)/f+1.5)/2}',61,26,'=l;return(k===m)},',74,':',1,'j,h){if(e.FONTDATA&&',96,97,'&&!h){j+=',144,'+" "+',130,'}',134,'j',137,'j}',61,'fontFamily=this.comparisonFont[','0];var g=',83,',l=-1;if(','e.safariWebFontSerif','){',61,'fontFamily=',186,'[0];l=',83,42,'k=1,f=this.',9,103,'k<f;k++){',61,182,'k];if(',83,'!=g',55,'[g,',83,',k,l',50,'loadWebFont',':',1,'g){','d.Startup.signal.Post("HTML-CSS Jax - ','Web-Font "+e.fontInUse+"/"+g.directory);var ','i=','MathJax.Message.','File("',213,'f=','MathJax.Callback','({});','var h=',219,'(["loadComplete",this,g,i,f]);c.timer.start(c,[this.checkWebFont,g,h],1,this.timeout',');return ','f},loadComplete:',1,'h,j,g,f){',215,'Clear(j);if(f===c.STATUS.OK){g();return}this.loadError(h);if(d.Browser.isFirefox&&e','.allowWebFonts','){var i=','document.location.','protocol+"//"+',232,'hostname;if(',232,'port!=""){i+=":"+',232,'port}i+="/";if(','c.fileURL(e.webfontDir',').substr(0,i.length)!==i){this.','firefoxFontError','(h)}}e.','loadWebFontError','(h,g)},loadError:',1,'f){',215,'Set("Can\'t ','load web font "+e.fontInUse+"/"+f.directory,null,2000)},',242,':',1,'f){',215,'Set("Firefox can\'t load web fonts from a remote host",null,3000)},checkWebFont:',1,'f,g,h){if(f.time(h)){return}if(','e.Font.testFont(','g)){h(f.STATUS.OK',')}else{','setTimeout(f,f.delay)}},fontFace:',1,'h',231,'e',230,';var g=',240,'+"/"+i);',140,'h.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!f.match(/-/)){f+="-Regular"}if(i==="svg"){f+=".svg#"+f}else{f+="."+i}var j={"','font-family":',96,'FONTS[h].','family,src:"url(\'"+g+"/"+f+"\')"};if(i==="svg"){j.src+=" format(\'svg\')"}','if(!(e.FontFaceBug&&',96,275,59,')){if(h.match(/-bold/)){j["','font-weight','"]="bold"}if(h.match(/-italic/)){j["font-style"]="italic"}}return j}});e.Augment({config:{useOldImageData:true,styles:{".',3,'":{display:"inline','","font-family":"serif","font-style','":"normal","',282,287,'line-height',287,'font-size":"100%","','font-size-adjust":"none','","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing',287,'word-spacing',287,'word-wrap',287,'white-space":"nowrap","float":"none",','border:0,padding:0,margin:0','},".','MathJax_Display','":{','position:"relative','",display:"block",width:"100%"},".',3,' img, .',3,' nobr, .',3,' a":{',301,',"','max-width":"none","max-height":"none','","','vertical-align":0,"line-height":"normal","text-decoration":"none','"},"img.','MathJax_strut','":{border:"','0 !important','",padding:"',321,'",margin:"',321,'","vertical-align":"',321,'"},".',3,' span',285,'",',301,',"',317,'"},".',3,' .MathJax_HitBox":{cursor:"text','"},"#MathJax_Tooltip','":{',20,'",left:0,top:0,width:"auto",height:"auto",display:"none',339,' *":{filter:"none",background:"transparent"}}},settings:d.config.menuSettings,LEFTBUTTON:(d.Browser.isMSIE?1:0),MENUKEY:"altKey",Font:b(),Config:',11,'this.SUPER(arguments).Config.call(this);',73,'settings;if(g.scale){','this.config.','scale=g.scale}if(g.font&&g.font!=="Auto"){if(g.font==="TeX (local)"){',349,'availableFonts','=["TeX"];',349,'preferredFont','="TeX";',349,'webFont="TeX"}else{if(g.font==="','STIX (local)"){',349,352,'=["STIX"];',349,355,'="STIX";',349,358,'TeX (web)"){',349,352,'=[];',349,355,'="";',349,358,'TeX (image)"){',349,352,'=[];',349,355,374,349,'webFont=""}}}}}',140,'this.Font.','findFont(',349,352,',',349,355,');if(!f&&this',230,'){f=',349,'webFont;if(f){this.webFonts=true}}if(!f&&',349,'imageFont','){f=',349,400,';','this.imgFonts','=true}if(f){this.fontInUse=f;this.fontDir+="/"+f;this.webfontDir+="/"+f;if(!','this.require','){',407,'=[]}',407,'.push(this.fontDir+"/fontdata.js");if(',405,'){',407,'.push','(this.directory+"/imageFonts.js','");',212,'using image fonts','")}}else{',215,249,'find a valid font using ["+',349,352,'.join(", ")+"]",null,3000);this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]}},RANGES:[],','DEFAULTFAMILY',':"serif",','DEFAULTWEIGHT',31,'DEFAULTSTYLE',31,'DELIMITERS',':{},RULECHAR:45,REMAP:{}};if(',3,'.InputJax.TeX&&','MathJax.InputJax.TeX.Definitions','){',438,'.macros.overline[1]="002D";',438,'.macros.underline[1]="002D"}',212,'no valid font")}},Startup:',11,'var h=[],l=','this.FONTDATA.','VARIANT.normal.fonts',';if(!(l ','instanceof Array',')){l=[l]}','for(var g=0,f=l','.length;g<f;g++){','h[g]=',448,'FONTS[l[g]].family;if(!h[g]){h[g]=l[g]}}',349,'styles[".',3,' .math span"]=',349,'styles["#','MathJax_getScales','"]={"',273,'h.join(",")};','this.hiddenDiv','=','this.Element("','div',19,22,'overflow:"hidden",',20,'",top:0,height:"1px",',24,'"}});if(!',17,35,'){',17,'.appendChild(',468,261,17,'.insertBefore(',468,',',17,35,')}',468,'=','this.addElement(',468,',"div",{id:"MathJax_Hidden"});var k=',495,468,',"div',19,'width:"5in"}});this.pxPerInch=k','.offsetWidth','/5;',468,'.removeChild(','k);','this.startMarker','=e','.createStrut(',470,'span"),10,true);','this.endMarker','=','this.addText(',470,'span"),"x").parentNode;','this.HDspan','=',470,'span");',47,'operaHeightBug){this',510,518,',0)}','if(this.msieInlineBlockAlignBug){','this.HDimg','=',495,518,',"img',19,'height:"0px",width:"1px','"}});try{',528,'.src="about:blank"}catch(j){}}else{this.','HDimg=e',510,518,',0)}','this.HDMspan','=',470,'span',19,20,'","',293,'"}});',527,'this.HDMimg','=',495,542,',"img',19,534,'","',315,'",',301,'}});try{',552,537,'HDMimg=e',510,542,',0);',552,'.style.','marginRight=""}','this.marginCheck','=e.Element("span",null,[["','span",{style:{display:"inline-block",','width:"5em','"}}]]);','this.marginMove','=e.',15,'(',573,',"',575,576,'",','marginLeft',':"-5em"}});return c.Styles(',349,'styles,["','PreloadWebFonts','",this])},',591,':',11,'if(!e',230,'||!','e.config.preloadWebFonts',55,42,'g=0,f=',599,454,221,96,'FONTS[',599,'[g]];if(!h','.available){',259,'h)}}},Translate:',1,'f){if(!f','.parentNode',55,'}var k=f','.previousSibling;if','(k&&String(k','.className',').match(/^',3,'(_MathML|_Display)?$/)){k',615,506,'k)}var j=f.',3,'.elementJax.root,h,l;h=l=',470,'span','",{className:"',3,'",oncontextmenu:this.ContextMenu,onmousedown:this.Mousedown,onmouseover:this.Mouseover,onclick:this.Click,ondblclick:this.DblClick});if(j.Get("display")==="block"){l=',470,'div',631,303,'",style:{width:"100%",',305,'"}});l',483,'h)}','l.setAttribute("','role","textbox");',643,'aria-readonly","true");f',615,487,'l,f);var g;try{','this.getScales(l,h',');g=(this.em===0||String(this.em)==="NaN")}catch(i){g=true}if(g){',468,483,'l);',650,')}this.initImg(h);this.initHTML(j,h);j.setTeXclass();try{j.toHTML(h,l)}catch(i){if(i.restart){l',615,506,'l)}throw i}if(g){f',615,487,'l,f)}},ContextMenu:',1,'i,j','){if(e.config.showMathMenu','&&(','e.settings.context==="MathJax','"||j)){if(e.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}',140,3,'.Menu;if(f){var h=(this',615,620,'==="',303,'"?this',615,':this);f.jax=d.getJaxFor(h.nextSibling);f.menu.items[1].menu.items[1].name=(','f.jax.inputJax.id','==="MathML"?"Original":',679,224,'f.menu.Post(i',261,'if(!','c.loadingMathMenu','){',686,'=true;','if(!i){i=window.event}','var g={pageX:i.pageX,pageY:i.pageY,clientX:i.clientX,clientY:i.clientY};',219,'.Queue(c.Require("[',3,']/extensions/MathMenu.js"),',11,'delete ',686,'},[this,arguments.callee,g,j])}',690,'if(','i.preventDefault','){',702,'()}if(','i.stopPropagation','){',706,'()}i.cancelBubble=true;i.returnValue','=false;',90,'}}},Mousedown:',1,'f',665,'){if(!f){f=window.event}if(',667,'"){if(!e.noContextMenuBug||f.button!==2',55,'}}else{if(!f[e.MENUKEY]||f.button!==e.LEFTBUTTON',55,'}}return e.ContextMenu.call(this,f,true)}},Mouseover:',1,'f){e.HandleEvent(f,"','Mouseover",this)},Click:',1,724,'Click",this)},DblClick:',1,724,'DblClick",this)},HandleEvent:',1,'h,f,g){},initImg:',1,'f){},initHTML:',1,'g,f){},initFont:',1,'f','){var h=',96,'FONTS,g=e.config.',352,';if(g&&g.length&&',259,'h[f])){h[f].available=true;return null}if(!this',230,55,' null}h[f].','isWebFont=true;if(e.FontFaceBug){','h[f].family','=f}return ','c.Styles({"@font-face":',387,'fontFace(f)})},Remove:',1,'f){var g=','f.SourceElement();if(!g',55,'}g=g',618,'(!g',55,'}if(g',620,'.match(/^',3,'/)){g',615,506,'g)}},getScales:',1,'i,f){i',615,487,542,',i);',542,620,374,518,'.id',374,542,'.style.fontSize',374,552,'.style.height','="1px";',552,'.style.width','="60ex";',221,542,503,'/60;',542,620,'="',3,'";',518,'.id="',464,'";',552,791,'="60em";',73,'outerEm=',542,503,796,'var j',149,'h/this.TeX.x_height)/g*',349,'scale);f',785,'=',542,785,'=j+"%";','this.em=a.mbase.prototype.em=',542,503,796,47,'operaFontSizeBug&&g===this.em&&j!==100){',824,'g*j/100}i',615,506,542,');','this.msieMarginScale','=this.getMarginScale(f)},getMarginScale:',1,'f',55,' 1},getMSIEmarginScale:',1,'h){h',483,573,');',140,573,503,',g=',578,503,';var i=g/(2*g-f);h',506,573,224,'i},getHD:',1,'g){',140,'g','.style.position',';g',862,'="absolute";',528,788,'="0px";g',483,518,');var h={h:g','.offsetHeight','};',528,788,'=h.h+"px";h.d=g',872,'-h.h;h.h-=h.d;h.h/=this.em;h.d/=this.em;g',506,518,');g',862,'=f;return h},getW:',1,'i){var g=i',503,',h=(i.bbox?i.bbox.w:-1),j=i;if((h<0||this.negativeSkipBug)&&g>=0){','if(this.negativeSkipBug){',140,'i',862,';i',862,865,'j=',508,';if(i',35,'){i',487,'j,i',35,261,'i',483,'j)}j=',508,'}i',483,513,');g=',513,'.offsetLeft-j.offsetLeft;i',506,513,');',888,'i',506,'j);i',862,'=f}}',41,'/this.em},Measured:',1,'h,g){if(h','.bbox.width','==null&&h.bbox.w&&!h.bbox.isMultiline){',140,'this.getW(h);h.bbox.rw+=f-h.bbox.w;h.bbox.w=f}if(!g){g=h',615,'}if(!','g.bbox){g.bbox','=h.bbox}return h},Remeasured:',1,'g,f){f.bbox=this.Measured(g,f).bbox},Em:',1,'f){if(Math.abs(f)<0.0006',55,'"0em"}return f.toFixed(3',').replace(/\\.?0','+$/,"")+"em"},Percent:',1,'f',55,'(100*f).toFixed(1',941,'+$/,"")+"%"},length2percent:',1,'f',55,' ','this.Percent(','this.length2em(f','))},length2em:',1,'k,i){if(typeof(k)!=="string"){k=k.toString()}if(k===""){return""}','if(k===a.SIZE.','NORMAL',55,' 1}',958,'BIG',55,' 2}',958,'SMALL',55,' 0.71}if(k==="infinity"){return e.BIGDIMEN}',221,448,'TeX_factor;if(k.match(/mathspace$/)){return e.MATHSPACE[k]*h}var g=k.match(/^\\s*([-+]?(?:\\.\\d+|\\d+(?:\\.\\d*)?))?(pt|em|ex|mu|px|in|mm|cm|%)?/);',140,'parseFloat(g','[1]||"1"),j=g[2];if(i==null){i=1','}if(j==="','em','"){return f','*h',976,'ex',978,'*e.TeX.x_height*h}if(j==="%"){return f/100*i',976,'px',978,'/e.em',976,'pt',978,'/10*h',976,'in','"){return f*this.pxPerInch/e.em',976,'cm',994,'/2.54',976,'mm',994,'/25.4',976,'pc',994,'/12',976,'mu',978,'/18*h}return f*h*i},thickness2em:',1,757,'e.TeX.rule_thickness;','if(f===a.LINETHICKNESS.','MEDIUM',55,' g}',1014,'THIN',55,' 0.67*g}',1014,'THICK',55,' 1.67*g}return ',954,',g)},createStrut:',1,'i,g,j){',140,470,575,474,'height:g+"px",width:"1px",marginRight:"-1px"}});if(j){i',487,'f,i',35,261,'i',483,'f)}return f},createBlank:',1,'g,f,h',231,470,575,474,'height:"1px",width',':this.Em(f)}});if(','h){g',487,'i,g',35,261,'g',483,'i)}return i},createShift:',1,'g,f,i',740,470,'span',19,587,1049,'i){g',487,'h,g',35,261,'g',483,'h)}return h},createSpace:',1,'k,j,m,f,g){var i','=this.Em(','Math.max(','0,j+m)),l','=this.Em(-m);',527,'l',1076,'e.getHD(k',615,').d-m)}if(k.isBox||k',620,'=="mspace"){','k.bbox={h:j*k.scale,d:m*k.scale,w:f*k.scale,rw:f*k.scale,lw:0};k',788,'=i;k',571,'verticalAlign','=l}else{k=',495,'k,"span',19,'height:i,',1092,':l}})}if(f>=0){k',791,1076,'f);k',571,'display="inline-block"}else{',47,'msieNegativeSpaceBug){k',788,'=""}k',571,587,1076,'f);if(e.safariNegativeSpaceBug&&k',615,35,'==k){this','.createBlank(','k,0,true)}}if(g&&g!==a.COLOR.TRANSPARENT){k',571,'backgroundColor=g}return k},createRule:',1,'o,k,m,p,i){var j=e.TeX.min_rule_thickness;if(p>0&&p*this.em<j){p=j/this.em}if(k+m>0&&(k+m)*this.em<j){var l=1/(k+m)*(j/this.em);k*=l;m*=l}if(!i){i="solid"}else{i="solid "+i}i',1076,'p)+" "+i;var q',1076,'k+m),g',1079,'var n=',495,'o,"span',19,'borderLeft:i,','display:"inline-block",',474,'width:0,height:','q,',1092,':g},bbox:{h:k,d:m',',w:p,rw:p,lw:0},noAdjust:true});if(','p>0&&n',503,'==0){n',791,1076,'p)}if(o.isBox||o',620,1087,'o.bbox=n.bbox}','return n},createFrame:',1,'o,m,n,p,r,g){var l=(this.msieBorderWidthBug?0:2*r);var q',1076,'m+n-l),f=this.Em(-n-r),k',1076,'p-l);var i',1076,'r)+" "+g;var j=',495,'o,"span',19,'border:i,',1132,474,'width:k,height:q},bbox:{h:m,d:n',1138,'f){j',571,1092,752,'j},createStack:',1,'h,j,g){',47,'msiePaddingWidthBug){this',510,'h,0)}var i=String(g).match(/%$/);var f=(!i&&g!=null?g:0);h=',495,'h,"span",{noAdjust:true,style:{',1132,305,'",width:(i?"100%":this.Em(f)),height:0}});if(!j){h',615,'.bbox=h.bbox={','h:-this.BIGDIMEN,d:-this.BIGDIMEN',',w:f,lw:','this.BIGDIMEN',',rw:(!i&&g!=null?g:-',1185,')};if(i){h',927,'=g}}return h},createBox:',1,'g,f',740,495,'g,"span',19,20,'"},isBox:true});if(f!=null){h',791,752,'h},addBox:',1,'f,g){g',862,865,'g.isBox=true;return f',483,'g)},placeBox:',1,'n,m,k,i){var o=n',615,',v=n.bbox,q=o.bbox;',47,'msiePlaceBoxBug){',515,'n,this.NBSP)}',47,'imgSpaceBug){',515,'n,this.imgSpace)}var p=n',872,'/this.em+1,z=0;if(n.noAdjust){p-=1}else{',527,495,'n,"img',631,319,'",border:0,src:"about:blank",style:{',1134,'this.Em(p',')}})}else{',495,'n,"',575,1134,1230,')}})}}n','.style.top=this.Em(-','k-p);n',571,'left',1076,'m+z);if(v){',888,'if(v.lw<0){z=v.lw;e',1116,'n,-z,true);h=0}if(v.rw>v.w){e',1116,'n,v.rw-v.w+0.1)}}if(!this.msieClipRectBug&&!v.noclip&&!i){var u=3/this.em;var s=(v.H==null?v.h:v.H),g=(v.D==null?v.d:v.D);var w=p-s-u,j=p+g+u,h=v.lw-3*u,f=1000;if(v.isFixed){f=v.width-h}n',571,'clip="rect("+this.Em(w',')+" "+this.Em(','f',1252,'j',1252,'h)+")"}}if(v&&q){if(v.H!=null&&(q.H==null||v.H+k>q.H)){q.H=v.H+k}if(v.D!=null&&(q.D==null||v.D-k>q.D)){q.D=v.D-k}if(v.h+k>q.h){q.h=v.h+k}if(v.d-k>q.d){q.d=v.d-k}if(q.H!=null&&q.H<=q.h){delete q.H}if(q.D!=null&&q.D<=q.d){delete q.D}if(v.w+m>q.w){q.w=v.w+m;if(q.width==null){o',791,1076,'q.w)}}if(v.rw+m>q.rw){q.rw=v.rw+m}if(v.lw+m<q.lw){q.lw=v.lw+m}if(v','.width!=null&&!','v.isFixed){if(q.width==null){o',791,'=q.width="100%"}n',791,'=v.width}}},alignBox:',1,'h,n,m){','this.placeBox(','h,0,m);var j=h.bbox;if(j.isMultiline',55,'}var g=j',1261,'j.isFixed;var i=0,k=-j.w/2,f="50%";',888,'i=j.w-j.rw-0.1;k+=j.lw}k',1076,'k*',836,79,'k',374,'f=(50-parseFloat(j.width)/2)+"%"}d.Insert(h.style,({right:{left:"",right:this.Em(i)},center:{left:f,',587,':k}})[n])},setStackWidth:',1,'g,f){if(typeof(f)==="number"){g',791,1076,1077,'0,f));if(',933,'.w=f}if(g',615,'.bbox){g',615,'.bbox.w=f}}else{g',791,'=g',615,791,'="100%";if(',933,'.width=f}if(g',615,'.bbox){g',615,927,'=f}}},createDelimiter:',1,'q,f,h,l,j){if(!f){q.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};q.bbox.rw=q.bbox.w;this.createSpace(q,q.bbox.h,q.bbox.d,q.bbox.w);return}if(!l){l=1}if(!(h ',451,')){h=[h,h]}var p=h[1];h=h[0];var g={alias:f};while(g.alias){f=g.alias;g=',448,434,'[f];if(!g){g={HW:[0,',448,'VARIANT[a.VARIANT.NORMAL',']]}}}for(var o=0,k=g.HW',103,'o<k;o++){if(g.HW[o][0]*l>=h-0.01||(o==k-1&&!g.stretch)){if(g.HW[o][2]){l*=g.HW[o][2]}if(g.HW[o][3]){f=g.HW[o][3]}var n=',495,'q,"',521,'this.createChar(','n,[f,g.HW[o][1]],l,j);q.bbox=n.bbox;q.offset=0.65*q.bbox.w;q.scale=l;return}}if(g.stretch){this["extendDelimiter"+g.dir](q,p,g.stretch,l,j)}},extendDelimiterV:',1,'u,o,z,A,r){var i','=this.createStack(','u,true);var q','=this.createBox(','i),p',1331,'i);',1325,'q,(z.top','||z.ext),A,r);',1325,'p,(z.bot',1337,'var g={bbox:{w:0,lw:0,rw:0}},x=g;var v=q.bbox.h+q.bbox.d+','p.bbox.h+p.bbox.d;','var l=-q.bbox.h;',1269,'q,0,l,true);l-=q','.bbox.d;if(z.mid','){x',1331,'i);',1325,'x,z.mid,A,r);v+=','x.bbox.h+x.bbox.d','}if(o>v){g=',470,521,1325,'g,z.ext,A,r);var w=g.bbox.h+g.bbox.d,f=w-0.05,s,j,t=(z.mid?2:1);j=s=Math.ceil((o-v)/(t*f));if(!z.fullExtenders){f=(o-v)/(t*s)}var m=(s/(s+1))*(w-f);f=w-m;l+=m+f-g.bbox.h;while(t-->0){while(s-->0){l-=f;',1269,'this.addBox(','i,g','.cloneNode(true)),','0,l,true)}l+=m-g',1346,'&&t){',1269,'x,0,l-x.bbox.h,true);','s=j;l+=-(',1352,')+m+f-g.bbox.h}}}else{l+=(v-o)/2;if(z.mid){',1269,1366,'l+=-(',1352,')}l+=(v-o)/2}',1269,'p,0,l-p.bbox.h,true);l-=',1342,'u.bbox={w:',1077,'q.bbox.w,g.bbox.w,p.bbox.w,x.bbox.w),lw:Math.min(q.bbox.lw,g.bbox.lw,p.bbox.lw,x.bbox.lw),rw:',1077,'q.bbox.rw,g.bbox.rw,p.bbox.rw,x.bbox.rw),h:0,d:-l};u.scale=A;u.offset=0.55*u.bbox.w;u','.isMultiChar=true;this.setStackWidth(','i,u.bbox.w)},extendDelimiterH:',1,'t,g,y,A,q){var j',1329,'t,true);var h',1331,'j),u',1331,'j);',1325,'h,(y.left','||y.rep),A,q);',1325,'u,(y.right',1395,140,470,521,1325,'f,y.rep,A,q);var v={bbox:{',1183,'}};',1269,'h,-h.bbox.lw,0,true);var o=(','h.bbox.rw-h.bbox.lw',')+(u.bbox.rw-u.bbox.lw)-0.05,m=',1408,'-0.025;if(y.mid){v',1331,'j);',1325,'v,y.mid,A,q);o+=v.bbox.w}if(g>o){var z=f.bbox.rw-f.bbox.lw,i=z-0.05,r,l,s=(y.mid?2:1);l=r=Math.ceil((g-o)/(s*i));i=(g-o)/(s*r);var p=(r/(r+1))*(z-i);i=z-p;m-=f.bbox.lw+p;while(s-->0){while(r-->0){',1269,1359,'j,f',1361,'m,0,true);m+=i}if(y.mid&&s){',1269,'v,m,0,true);m+=v.bbox.w','-p;r=l}}}else{m-=(o-g)/2;if(y.mid){',1269,1422,'}m-=(o-g)/2}',1269,'u,m,0,true);t.bbox={w:m+u.bbox.rw,lw:0,rw:m+u.bbox.rw,H:',1077,'h.bbox.h,f.bbox.h,u.bbox.h,v.bbox.h),D:',1077,'h.bbox.d,f.bbox.d,u.bbox.d,v.bbox.d),h:f.bbox.h,d:f.bbox.d};t.scale=A;t',1383,'j,t.bbox.w)},createChar:',1,'o,k,h,f){var n=o,p="",j={fonts:[k[1]],noRemap:true};if(f&&f===a.VARIANT.BOLD){j.fonts=[k[1]+"-bold",k[1]]}if(typeof(k[1])!=="string"){j=k[1]}if(k[0] ',451,'){for(var l=0,','g=k[0].length;l<g;l++){p+=',112,'k[0][l])}}else{p=',112,'k[0])}if(h!==1){n=',495,'o,"span',19,26,':',953,'h)},scale:h});','this.handleVariant(','n,j,p);',1147,'else{',1451,'o,j,p)}if(k[2]){o',571,587,1076,'k[2])}',47,'AccentBug&&o.bbox.w===0){n',35,'.nodeValue+=this.NBSP;e.createSpace(o,0,0,-o',503,'/e.em)}},positionDelimiter:',1,'g,f){f-=g.bbox.h;g.bbox.d-=f;g.bbox.h+=f;if(f){',47,'safariVerticalAlignBug||this.msieVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&g.isMultiChar)){if(g',35,571,'display===""&&g',571,'top!==""){g=g',35,';f-=',974,571,'top)}g',862,'="relative";g',1238,'f',261,'g',571,1092,1076,'f);if(e.ffVerticalAlignBug){e.createRule(g',615,',g.bbox.h,0,0)}}}},handleVariant:',1,'v,j,o){var u="",s,y,p,g,x,z,f=v;if(o.length===0',55,'}if(!v.bbox){v.bbox={w:0,',1183,',rw:-',1185,',lw:',1185,'}}if(!j){j=',448,1318,']}z=j;for(var w=0,t=o',103,'w<t;w++){j=z;','s=o.charCodeAt(w',');y=o.charAt(w);if(y===this.PLANE1){w++;',1508,')+119808-56320;if(',448,'RemapPlane1','){var A=',448,1513,'(s,j);s=A.n;j=A.variant}}else{var q,l,r=',448,'RANGES;for(q=0,l=r',103,'q<l;q++){if(r[q].name==="alpha"&&j.noLowerCase',46,'var k=j["offset"+r[q].offset];if(k&&s>=r[q].low&&s<=r[q].high){if(r[q].remap&&r[q].remap[s]){s=k+r[q].remap[s]}else{s=s-r[q].low+k;if(r[q].add){s+=r[q].add}}if(','j["variant"+r[q].offset',']){j=',448,'VARIANT[',1524,']]}break}}}if(j.remap&&j.remap[s]){if(j.remap[s] ',451,740,'j.remap[s];s=h[0];j=',448,1527,'h[1]]}else{s=j.remap[s];if(','j.remap.variant','){j=',448,1527,1536,']}}}if(',448,'REMAP[s]&&!j.noRemap){s=',448,'REMAP[s]}p=this.lookupChar(j,s);y=p[s];if(j!==x&&!y[5].img){if(u','.length){',515,'f,u);u=""}f=v;x=g;if(j!==x){if(x){f=',495,'v,"span")}else{g=j}}this.handleFont(f,p,f!==v);x=j}u=this.handleChar(f,p,y,s,u);if(y[0',']/1000>v.bbox.','h){v.bbox.h=y[0]/1000}if(y[1',1551,'d){v.bbox.d=y[1',']/1000}if(v.bbox.w+y[','3]/1000<v.bbox.lw){v.bbox.lw=v.bbox.w+y[3',1555,'4',1551,'rw){v.bbox.rw=v.bbox.w+y[4]/1000}v.bbox.w+=y[2]/1000}if(u',1546,515,'f,u)}if(v.scale&&v.scale!==1){v.bbox.h','*=v.scale;v.bbox.','d',1564,'w',1564,'lw',1564,'rw*=v.scale}if(o.length==1&&p.skew&&p.skew[s]){v.bbox.skew=p.skew[s]}},handleFont:',1,'h,f,j){h',571,189,'f.family;',277,'f.',59,')){var g=f.style||',448,432,',i=f.weight||',448,430,';if(g','!=="normal"||j){h.style.',32,'=g}if(i',1587,30,'=i}}},handleChar:',1,'g,f,k,j,i',740,'k[5];if(h.img',55,' this.handleImg(',1594,')}if(h.c==null){if(j<=65535){h.c=',112,'j',261,'h.c=this.PLANE1+',112,'j-119808+56320)}}if(k[2]||!this.msieAccentBug||i.length',55,' i+h.c}','e.createShift(g',',k[3]/1000);',1609,',(k[4]-k[3])/1000);',515,'g,h.c);',1609,',-k[4]/1000);return""},handleImg:',1,'g,f,j,i,h',55,' h},lookupChar:',1,'j,p){var h,f;if(!j.FONTS){var o=',448,'FONTS;var l=(j.fonts||',448,449,');if(!(l ',451,452,'if(j.fonts!=l){j.fonts=l}j.FONTS=[];for(h=0,f=l',44,'if(o[l[h]]){j.FONTS.push(o[l[h]]);o[l[h]].name=l[h]}}}for(h=0,f=j.FONTS',44,'var g=j.FONTS[h];if(typeof(g)==="string"){delete j.FONTS;this.loadFont(g)}if(g[p]){if(g[p].length===5){g[p][5]={}}if(e',230,'&&!g',610,'this.',208,'(g',261,41,'}}else{this.findBlock(g,p)}}var k=(j.defaultFont||{family:',96,428,'+",serif"});k[p]=[800,200,500,0,500,{isUnknown:true}];return k},findBlock:',1,'g,n){if(g.Ranges',1438,'f=g.Ranges',103,'l<f;l++){if(n<g.Ranges[l][0]){return}if(n<=g.Ranges[l][1]){var k=g.Ranges[l][2];for(',221,'g.Ranges.length-1;h>=0;h--){if(g.Ranges[h][2]==k){g.Ranges.splice(h,1)}}this.loadFont(g.directory+"/"+k+".js")}}}},loadFont:',1,'g){',140,219,'.Queue();','f.Push(["Require",c,this.','fontDir+"/"+g]);if(',405,'){if(!',3,'.isPacked){g=g.replace(/\\/([^\\/]*)$/,e.imgPacked+"/$1")}',1660,'webfontDir+"/png/"+g])}','d.RestartAfter(','f.Push({}))},',208,':',1,'f){f.available=f.',750,'f.family=f.name}',1668,387,208,'(f))},',244,':',1,'g,f){',212,'disable web fonts");g.',59,710,'if(',349,400,'&&',349,400,'===this.fontInUse){',405,'=true;',212,'switch to image fonts");',212,420,'");',215,'Set("Web-Fonts not available -- ',420,' instead",null,3000);c.Require',417,'",f',261,'this',230,710,'f()}},Element:',14,'Element,',15,':',14,15,',TextNode:',14,'TextNode,addText:',14,'addText,ucMatch:',14,'ucMatch,BIGDIMEN:10000000,ID:0,idPostfix:"",GetID:',11,'this.ID++;return 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:0.430554,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3'],
  [':0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,','big_op_spacing1',':0.111111,','big_op_spacing2',':0.166666,','big_op_spacing3',':0.2,','big_op_spacing4',':0.6,','big_op_spacing5',':0.1,scriptspace:0.1,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.1,min_rule_thickness:1.25},PLANE1',':String.fromCharCode(','55349),NBSP',11,'160),rfuzz:0});a.mbase','.Augment({toHTML:function(','l){','var j=this.','HTMLlineBreaks','();if(','j','.length','>2','){return ','this.','toHTMLmultiline','(l,j)}l=','this.HTMLcreateSpan(','l);','if(this.','type!="mrow"){l','=this.HTMLhandleSize(','l)}for(var g=0,f=','this.data.length',';g<f;g++){','if(','this.data[','g]){',36,'g].toHTML(','l)}}var o=','this.HTMLcomputeBBox(','l);var k=l.bbox.h,n=l','.bbox.d;for(g=0,f=','o',21,34,'o[g].','HTMLstretchV','(l,k,n)}if(o',21,'){',41,'l,true)}','this.HTMLhandleSpace(','l',');this.HTMLhandleColor(','l',');return ','l},',18,':function(){var ','k=[[0,this]];','for(var h=0,f=',33,';h<f;h++){','if(',36,'h]){','var l=',36,'h].lineBreak',19,'l!=="none"){var g=(l==="after"?h+1:h);if(k',21,'===0||k[k',21,'-1]!==g){k.push([g,',36,'h]])}else{k[k',21,'-1]=[g,',36,'h]]}}}}k.push([',33,',k[k',21,'-1][1]]);','return ','k},',25,':function(','f){a.mbase.','HTMLautoloadFile','("multiline")},','HTMLcomputeBBox',91,'l,k,j,','f){if(','j==null){j=0}if(f==null){f=',33,'}var h=','l.bbox={},n=[];while(j<f','){var g=',36,'j];if(!g){continue}if(!k&&g.','HTMLcanStretch','("Vertical")){','n.push(g);g=(g.CoreMO()||g)}this.','HTMLcombineBBoxes','(g,h);j++}this.','HTMLcleanBBox','(h',58,'n},',109,91,'f,g){if(g.w==null){this.','HTMLemptyBBox','(g)}var i=f.','HTMLspanElement','();if(!i||!i.bbox){return',101,'i.bbox;if(h.d>g.d){g.d=h.d}if(h.h>g.h){g.h=h.h}if(h.D!=null&&h.D>g.D){g.D=h.D}if(h.H!=null&&h.H>g.H){g.H=h.H}if(i','.style.paddingLeft','){g.w+=','parseFloat(','i',124,')*(i.scale||1)}if(','g.w+h.lw<g.lw){g.lw=g.w+h.lw}if(g.w+h.rw>g.rw){g.rw=g.w+h.rw}g.w+=h.w;if(i','.style.paddingRight','){g.w+=',126,'i',131,129,'h.width){g.width=h.width}},',118,91,'f','){f.h=f.d=f.H=f.D=f.','rw=-','e.BIGDIMEN',';f.w=0;f.lw=',143,';','return f},',111,91,98,'f.h===this.BIGDIMEN',141,'w=f.rw=f.lw=0}if(f.D<=f.d){delete f.D}if(f.H<=f.h){delete f.H}},HTMLzeroBBox',':function(){','return{h:0,d:0,w:0,lw:0,rw:0}},',106,91,'f){',29,'isEmbellished','()){',88,'this.Core().',106,'(f)}','return false},','HTMLstretchH',91,'g,f',23,'this.HTMLspanElement','()},',48,91,'g,f,i',23,171,172,'HTMLnotEmpty',91,'f){while(f){if((f.type!=="mrow"&&f.type!=="texatom")||f.data',21,'>1',23,'true}f=f.data[0]}',166,'HTMLmeasureChild',91,'g,',98,36,'g]!=null){','e.Measured(',36,39,'f),f)}else{f.bbox=','this.HTMLzeroBBox','()}},HTMLcreateSpan',91,'f){',29,'spanID',103,171,19,'g){while(g','.firstChild','){g','.removeChild(','g',207,')}g','.bbox={w:0,h:0,d:0,lw:0,','rw:0};g.scale=1;g.isMultChar=null;g','.style.cssText','="";',88,'g}}',29,'href){f','=','e.addElement(','f,"a",{href:this.href})}f=',222,'f,"span",{className:','this.type','});if(e.imgHeightBug){f.style.display="inline-block"}if(this["class"]!=null){f.className+=" "+this["class"]}',29,'style){f',215,'=this.style;if(f','.style.fontSize','){this.mathsize=f',232,';f',232,'=""}}','this.spanID=','e.GetID();f.id=(','this.id||"MathJax-Span-"+this.spanID)+e.idPostfix',';f',213,'lr:0};',29,220,'.parentNode','.bbox=f.bbox}',147,120,154,'if(!this.spanID',23,'null}',88,'document.getElementById','((',240,')},','HTMLhandleVariant',91,'g,f,h){e.handleVariant(g,f,h)},HTMLhandleSize',91,'f){if(!f.scale){f.scale','=this.HTMLgetScale',19,'f.scale!==1){f',232,'=e.Percent(f.scale)}}',147,'HTMLhandleColor',91,'k){var m','=this.getValues("','mathcolor','","color");if(this','.mathbackground','){m',276,'=this',276,'}if(','this.background','){m.','background','=',282,'}',29,'style&&','k.style.backgroundColor','){m',276,'=',290,';',290,'="transparent"}if(m.color','&&!this.',274,283,274,'=m.color','}if(m.',284,'&&!this',276,'){m',276,'=m.',284,303,274,'){k.style.color=m.',274,'}if(m',276,'&&m',276,'!==a.COLOR.TRANSPARENT){var n=1/e.em,j=0,i=0;',29,'isToken){j=k.bbox.lw;i=','k.bbox.rw','-k.bbox.w','}if(k',124,'!==""){j+=',126,'k',124,')*(k.scale||1)}','if(k',131,'!==""){i-=',126,'k',131,330,'var h','=Math.max(','0,e.getW(k)+(e.PaddingWidthBug?0:i-j));if(e.','msieCharPaddingWidthBug','&&k',124,'!==""){h+=',126,'k',124,330,69,'k.bbox.h+k.bbox.d',',f=-k.bbox.d;if(h>0){h+=2*n;j-=n}if(l>0){l+=2*n;f-=n}i=-h-j;var g=e.Element("span",{id:"','MathJax-Color-"+this.spanID+e.idPostfix',',style:{display:"inline-block",','backgroundColor:m',276,',','width:e.Em(h),height:e.Em(l),','verticalAlign:e.Em(f),','marginLeft',':e.Em(j),','marginRight',':e.Em(i)}});if(e.','msieInlineBlockAlignBug','){g','.style.position="relative";','g','.style.width','=g.style.','height=0;g','.style.verticalAlign',368,359,368,361,216,'e.placeBox(',222,'g,"span",{noAdjust:true',353,'position:"absolute",overflow:"hidden",',357,284,':m',276,'}}),j,k.bbox.h+n)}k',246,'.insertBefore(','g,k',58,'g}',88,'null},HTMLremoveColor',61,'f=',255,'("',352,');if(f){f',246,209,'f)}},','HTMLhandleSpace',91,'i){',29,'useMMLspacing','){',29,'type!=="mo"){return}var g',273,'scriptlevel','","lspace","','rspace','");if(g.',411,'<=0||','this.hasValue("','lspace")||',417,413,'")){','g.lspace',339,'0,','e.length2em(',422,'));','g.rspace',339,'0,',425,428,'));var f=this,h=this.Parent();while(h&&h.',160,'()&&h.Core()===f){f=h;h=h.Parent();i=f.',120,'()}if(',422,'){i',124,'=e.Em(',422,')}if(',428,'){i',131,441,428,')}}}else{',17,'texSpacing',19,'j!==""){j=',425,'j)/(i.scale||1);if(i',124,'){j+=',126,'i',124,')}i',124,441,'j)}}},','HTMLgetScale',61,'h=1,f',273,'mathsize","',411,'","fontsize","scriptminsize");',29,'style',103,171,19,'g',232,'!=""){','f.fontsize','=g',232,'}}if(',480,298,'mathsize){','f.mathsize','=',480,'}if(f.',411,'!==0){if(f.',411,'>2){f.',411,'=2}h=Math.pow(this.Get("scriptsizemultiplier"),f.',411,');','f.scriptminsize','=',425,499,');if(h<',499,'){h=',499,'}}h*=',425,487,58,'h},HTMLgetVariant',61,'f',273,'mathvariant','","fontfamily","','fontweight','","','fontstyle','");',29,'style){var h=',171,19,'h.style.fontFamily','){','f.fontfamily','=',525,'}if(','h.style.fontWeight','){f.',517,'=',531,'}if(','h.style.fontStyle','){f.fontStyle=',537,'}}var g=f.',515,';',29,'variantForm){g="-"+e.fontInUse+"-variant"}if(',527,298,515,'){if(!f.',517,'&&f.',515,'.match(/bold/)){f.',517,'="bold"}if(!f.',519,550,515,'.match(/italic/)){f.',519,'="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:',527,',style:f.',519,',weight:f.',517,'}}}if(f.',517,'==="bold"){g={normal',':a.VARIANT.','BOLD,italic',569,'BOLDITALIC',',fraktur',569,'BOLDFRAKTUR,script',569,'BOLDSCRIPT,"','sans-serif":a.VARIANT.','BOLDSANSSERIF',',"sans-serif','-italic":a.VARIANT.','SANSSERIFBOLDITALIC}[g]||g}else{if(f.',517,'==="normal"){g={','bold',569,'normal,"bold',581,'ITALIC,"bold-fraktur":a.VARIANT.FRAKTUR,"bold-script":a.VARIANT.SCRIPT,"bold-',578,'SANSSERIF',580,'-bold',581,'SANSSERIFITALIC','}[g]||g}}','if(f.',519,'==="italic"){g={normal',569,'ITALIC,bold',569,572,',"',578,595,',"bold-',578,582,519,584,'italic',569,'NORMAL,"bold',581,'BOLD',580,581,'SANSSERIF',580,'-bold',581,579,596,88,'e.FONTDATA.','VARIANT[g',']}},{HTMLautoload',61,'f=','e.autoloadDir+"/"+',226,'+".js";d.RestartAfter(c.Require(','f))},',93,91,'f',103,631,'f',633,'g))},',167,91,'g,f','){this.HTMLremoveColor();','return this.toHTML(g,f',')},',48,91,175,646,647,',i)}});a.chars',15,'g,f){this.',259,'(g,f,','this.data.join','("").','replace(/[\\u2061-\\u2064]/g,""))}});a.','entity',15,656,259,'(g,f,this.toString().',661,'mi',15,'j){j',31,27,'j));j','.bbox=null;','var h=this','.HTMLgetVariant();for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]){this.data[g].toHTML(j,h)}}if(!j.bbox){j.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete j.bbox.skew}this.HTMLhandleSpace(j',56,'j',58,'j}});a.','mn',15,'j){j',31,27,'j));j',674,'var h=this',676,56,'j',58,680,'mo',15,'k){k',31,27,'k));if(',33,'==0',23,'k}else{k.bbox=null}var n=',659,'("");','var j=this.HTMLgetVariant();','var g',273,'largeop","','displaystyle',414,'largeop){j=',626,627,'.',710,'?"-largeOp":"-smallOp"]}',63,33,65,'if(',36,68,36,'h].toHTML(k,j)}}if(!k.bbox){k.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(','n.','length!==1){delete k.bbox.skew','}if(e.AccentBug&&k.bbox.w===0&&n',21,'===1&&k',207,'){k',207,'.nodeValue+=e.NBSP;','e.createSpace(','k,0,0,-k.offsetWidth/e.em)}if(g.largeop){var l=(k.bbox.h-k.bbox.d)/2-','e.TeX.axis_height','*k.scale;if(e.','safariVerticalAlignBug','&&','k.lastChild.','nodeName==="IMG"){k.lastChild',370,441,126,'k.lastChild',370,'||0)/e.em-','l/k.scale)}else{','if(e.','konquerorVerticalAlignBug','&&',741,'nodeName==="IMG"){k',365,'k.lastChild',365,741,'style.top',441,749,'k',370,'=e.Em(-l/k.scale)}}k.bbox.h-=l;k.bbox.d+=l;if(',322,'>k.bbox.w){k.bbox.ic=',322,323,';e.createBlank(k,k.bbox.ic);k.bbox.w=',322,'}}',54,'k',56,'k',58,'k},',106,91,'f){if(!this.','Get("stretchy")){',88,'false}var g=',659,'("");if(g',21,'>1',23,'false}g=',626,'DELIMITERS[','g.charCodeAt(0)];return(g&&g.dir==f.substr(0,1))},',48,91,'l,k,n',646,'var f',273,'symmetric","','maxsize","minsize','");var j=',171,'(),g;var i=',737,',m=j.scale;','if(f.symmetric){g','=2*','Math.max(','k-i,n+i)}else{g=k+n}f.maxsize=',425,'f.maxsize,','j.bbox.h+j.bbox.d',');f.minsize=',425,'f.minsize,',812,');g',339,815,'Math.min(',811,'g));j=',27,'l);','e.createDelimiter(','j,',659,'("").charCodeAt(0),','g,m);',806,'=(',812,')/2+i}else{g=(',812,')*k/(k+n)}e.positionDelimiter(j,g);',54,'j',56,'j',58,'j},',167,91,'i,f',646,'var g',273,800,'","',515,'","',517,414,517,'==="bold"&&!this.',515,'){g.',515,'=a.VARIANT.BOLD',101,171,'(),j=h.scale;','g.maxsize','=',425,863,',h.bbox.w);g.minsize=',425,'g.minsize,','h.bbox.w);f',339,869,820,863,',f));h=',27,'i);',825,'h,',659,828,'f,j,g.',515,');',54,'h',56,'h',58,'h}});a.mtext',15,'k){k',31,27,'k));k',674,29,'Parent().type==="merror"){e.addText(k,',659,'(""));',69,'e.getHD(k),g=e.getW(k);k.bbox={h:l.h,d:l.d,w:g,lw:0,rw:g}}else{',706,63,33,65,'if(',36,68,36,725,659,'("").',727,'}}',54,'k',56,'k',58,'k}});a.ms','.Augment({toHTML:a.mbase.HTMLautoload});a.','mglyph',922,'mspace',15,'j){j',31,27,'j));var g',273,'height","depth","width','");g',276,'=this',276,';if(',282,'&&!this',276,'){g',276,'=',282,'}var i=',425,'g.height),k=',425,'g.depth),f=',425,'g.width);',735,'j,i,k,f,g',276,58,680,'mphantom',15,'j,g,l){j=',27,'j);if(',36,'0]!=null){','var k=',193,36,'0].toHTML(','j),',961,'l!=null){e.Remeasured(',36,'0].',48,'(j,g,l),j)}else{if(g!=null){e.Remeasured(',36,'0].',167,'(j,g),j)}}j.bbox={w:','k.bbox.w,','h:k.bbox.h,d:k.bbox.d,','lw:0,rw:0};',63,'j.childNodes',21,65,983,'[h].','style.visibility','="hidden"}}',54,'j',56,'j',58,'j},','HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});a.','mpadded',15,'j,h,l){j=',27,961,36,963,'var g','=e.createStack(','j,true);var k','=e.createBox(','g);',193,36,967,'k),k);if(l!=null){e.Remeasured(',36,'0].',48,'(k,h,l),k)}else{if(h!=null){e.Remeasured(',36,'0].',167,'(k,h),k)}}var i',273,932,412,'voffset"),f=0,m=0;if(i.lspace){f','=this.HTMLlength2em(k,i.','lspace)}if(i.voffset){m',1025,'voffset)}',376,'k,f,m);j.bbox={',980,'w:',979,'lw:',820,'0,k.bbox.lw+f),rw:',808,979,322,'+f),H',':Math.max((k.bbox.','H==null?-',143,':k.bbox.H),k.bbox.h+m),D',1041,'D==null?-',143,':k.bbox.D),k.bbox.d-m)};if(i.height','!==""){j.bbox.','h',1025,'height,"h",0)}if(i.depth',1049,'d',1025,'depth,"d",0)}if(i.width',1049,'w',1025,'width,"w",0)}if(j.bbox.H<=j.bbox.h','){delete j.bbox.','H}if(j.bbox.D<=j.bbox.d',1061,'D}e.setStackWidth(g,j.bbox.w)}',54,'j',56,'j',58,'j},HTMLlength2em',91,'j,k,l,',98,'f==null){f=-',143,101,'String(k).match','(/width|height|depth/);var i=(h?j.bbox[h[0].charAt(0)]:(l?j.bbox[l]:null));var g=',425,'k,i);if(l&&',1077,'(/^\\s*[-+]/)){',88,808,'f,j.bbox[l]+g)}else{',88,'g}},',996,'mrow','.Augment({',167,91,'h,f',646,'var g=',171,'();',36,'this.core].',167,'(g,f);',41,'g,true',56,'g',58,'g},',48,91,'i,g,j',646,'var f=',171,'();',36,1099,48,'(f,g,j);',41,'f,true',56,'f',58,'f}});a.mstyle',15,98,36,963,'f=',36,967,'f);',238,36,'0].spanID;',54,'f);this.',270,'(f)}return f},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(g,f){return(this.data[0]!=null?this.data[0].HTMLstretchH(g,f):g)},HTMLstretchV:function(g,f,i){return(this.data[0]!=null?this.data[0].HTMLstretchV(g,f,i):g)}});a','.mfrac',15,'y){y=',27,'y',');var h',1005,'y);var k',1007,'h),j',1007,'h',');this.HTMLmeasureChild(','0,k',1152,'1,j);var f',273,710,'","linethickness","numalign","denomalign","bevelled");var C',264,'(),x=f.',710,';var B=',737,'*C;if(f.bevelled){var A=(x?0.4:0.15);var l',339,350,',',812,')+2*A;var z',1007,'h);',825,'z,47,l);',376,'k,0,(k.bbox.d-k','.bbox.h)/2+B','+A);',376,'z,k.bbox.w-A/2,(z.bbox.d-z',1176,');',376,'j,k.bbox.w+z.bbox.w-A,(j.bbox.d-j',1176,'-A)}else{var g',339,979,'j.bbox.w);var o=e.thickness2em(f.linethickness),s,r,n,m;var w=','e.TeX.min_rule_thickness/this.em',';if(x){n=e.TeX.num1;m=e.TeX.denom1}else{n=(o===0?e.TeX.num3:e.TeX.num2);m=e.TeX.denom2}n*=C;m*=C;if(o===0){s=Math.max((x?7:3)*','e.TeX.rule_thickness',',2*w);r=(n-k.bbox.d',')-(j.bbox.h-m);if(r<s){','n+=(s-r)/2;m+=(s-r)/2}}else{s=Math.max((x?2:0)*w+o,o/2+1.5*w);r=(n-k.bbox.d)-(B+o/2);if(r<s){n+=s-r}r=(B-o/2',1193,'m+=s-r}var i',1007,'h);','e.createRule(','i,o,0,g+2*o);',376,'i,0,B-o/2)}e.alignBox(k,f.numalign,n);e.alignBox(j,f.denomalign,-m)}',54,'y',56,'y',58,'y},',106,91,'f',23,'false},',402,91,780,'texWithDelims){var g=(this.',406,'?0:',425,'this.',451,'()||0))+0.12;f',124,441,'g);f',131,'=".12em"}}});a.msqrt',15,'n){n=',27,'n);var r',1005,'n',1145,1007,'r),l',1007,'r),k',1007,'r',1152,'0,h);var j',264,'();var ','s=',1191,'*j,g,f,o,i;',29,'Get("',710,'")){g','=e.TeX.x_height*','j}else{g=s}f',339,'s+g/4,2*',1189,');o=','h.bbox.h+h.bbox.d','+f+s;i=h.bbox.w;',825,'k,8730,o,j);',193,'k);var m=0;if(k.isMultiChar||(e.AdjustSurd&&e.imgFonts)){k.bbox.w*=0.95}if(',350,'>o){f+=((',350,')-(o-s))/2}var u=',626,791,626,'RULECHAR];if(!u||i<u.HW[0][0]*j||j<0.75){',1199,'l,s,0,i)}else{',825,'l,',626,'RULECHAR,i,j)}o=h.bbox.h+f+s;m=this.','HTMLaddRoot','(r,k,m,',350,'-o,j);',376,'k,m,o-k.bbox.h);',376,'l,m+',979,'o-l.bbox.h+e.rfuzz);',376,'h,m+',979,'0);n.bbox.h+=s;',54,'n',56,'n',58,'n},',1279,91,'h,g,f,j,i',23,'f}});a.mroot',1090,'toHTML:a.msqrt','.prototype.toHTML',',',1279,91,'o,g,m,k,f){var i',1007,'o);if(',36,'1]){',69,36,'1','].toHTML(','i);l',131,'=l',124,216,193,'l,i)}else{i.bbox=',197,'()}',17,'HTMLrootHeight','(g.bbox.h+g.bbox.d,f,i)-k;var n=',820,'i.bbox.w,i.bbox.rw);m',339,'n,g.offset);',376,'i,m-n,j',58,'m-g.offset},',1329,91,'h,g,f',23,'0.45*(h-0.9*g)+0.6*g+',808,'0,f.bbox.d-0.075)}});a.mfenced',15,'k){k=',27,'k);',29,'data.open){this.data.open.toHTML(k)}if(',36,963,36,967,'k)}for(var g=1,f=',33,34,'if(',36,37,29,'data["sep"+',37,'this.',1363,39,'k)}',36,39,'k)}}',29,'data.close){this.data.close.toHTML(k)}var n=',41,'k);var j=k.bbox.h,l=k',43,'n',21,34,'n[g].',48,'(k,j,l)}if(n',21,'){',41,'k,true)}',54,'k',56,'k',58,'k},',95,91,'k,j',103,'k.bbox={},l=[];this.','HTMLcheckStretchy','(this.data','.open,','g,l,j);this.',1398,'(',36,'0],g,l,j);for(var h=1,f=',33,65,'if(',36,68,'this.',1398,1399,'["sep"+h],',1401,1398,'(',36,'h],g,l,j)}}this.',1398,1399,'.close,',1401,111,'(g',58,'l},',1398,91,'f,g,i,h){if(f){if(!h',550,106,107,'i.push(f);f=(f.CoreMO()||f)}this.',109,'(f,g)}}});a.menclose',922,'maction',922,'semantics',15,98,36,963,'f=',36,967,'f);',238,36,'0].spanID;this.',402,1139,'.munderover',15,'G,B,z){var f',273,710,'","accent","accentunder","align");if(!f.',710,'&&',36,'this.base',']!=null&&',36,'this.base].','Get("movablelimits")){',88,'a.msubsup',1306,'.call(this,G)}G=',27,'G);var K',264,1245,'j',1005,'G);var l=[],I=[],q,H,C,g=-',143,',F=g;for(H=0,C=',33,';H<C;H++){if(',36,'H]!=null){q=l[H',']=e.createBox(j);',193,36,'H',1318,'q),q);if(H==',1463,'){if(z!=null){e.Remeasured(',36,1466,48,'(q,B,z),q)}else{if(B!=null){e.Remeasured(',36,1466,167,'(q,B),q)}}I[H]=(','z==null&&B!=null','?false:',36,'H].',106,'("Horizontal','"))}else{I[H]=',36,'H].',106,1506,'")}if(q.bbox.w>F){F=q.bbox.w}if(!I[H]&&F>g){g=F}}}if(g==-',143,'){g=F}if(',1501,'){g=F=B}var w=',1191,',A=',626,'TeX_factor;var h=l[',1463,']||{bbox:',197,172,'J=(h.bbox.ic||0);var p,n,s,r,o,v,E;for(H=0,C=',33,';H<C;H++){if(',36,1484,'];if(I[H]){q.bbox=',36,'H].',167,'(q,g).bbox}o=e.TeX.',9,'*K;var u=(H!=',1463,'&&f[this.ACCENTS[H]]);if(u&&q.bbox.w<=1/e.em+0.0001){q.bbox.w=q.bbox.rw-q.bbox.lw;q.bbox.noclip=true;if(q.bbox.lw&&!e.zeroWidthBug){q',387,735,'q',246,',0,0,-q.bbox.lw),q',207,')}e.createBlank(q,0,0,q.bbox.rw+0.1)}v={left:0,center:(g-q.bbox.w)/2,right:g-q.bbox.w}[f.align];p=v;n=0;if(H==this.over){if(u){E',339,'w*K*A,2.5/this.em);o=0;if(h.bbox.skew){p+=h.bbox.skew}}','else{s=e.TeX.',1,'*K*A;r=e.TeX.',5,'*K*A;E',339,'s,r-',808,'0,q.bbox.d))}E',339,'E,1.5/this.em);p','+=J;n=h.bbox.h+q.bbox.d+E;q.bbox.h+=o}else{if(H==this.under){if(u){E=3*w*K*A;o=0}',1548,3,1550,7,'*K*A;E',339,'s,r-q.bbox.h)}E',339,1558,'-=J;n=-(h.bbox.d+q.bbox.h+E);q.bbox.d+=o}}',376,'q,p,n)}}',54,'G',56,'G',58,'G},',996,'msubsup',15,'C,A,w){C=',27,'C);var G',264,1245,'j',1005,'C),g;var i',1007,'j',1152,1463,',i);if(',36,1463,']){if(w!=null){e.Remeasured(',36,1466,48,'(i,A,w),i)}else{if(A!=null){e.Remeasured(',36,1466,167,'(i,A),i)}}}',376,'i,0,0);var ','h=(',36,'this.sup',']||',36,'this.sub',']||this).',465,1245,'E',1253,'G,o=e.TeX.scriptspace*G*0.75;var f,k;',29,179,'(',36,1609,'])){f',1007,'j);',193,36,1609,1318,'f),f);f.bbox.w+=o;f.bbox.rw',339,'f.bbox.w,f.bbox.rw)}',29,179,'(',36,1612,'])){k',1007,'j);',193,36,1612,1318,'k),k);k.bbox.w+=o;',322,339,979,322,')}var y=e.TeX.sup_drop*h,x=e.TeX.sub_drop*h;var m=i.bbox.h-y,l=i.bbox.d+x,F=0,z;if(i.bbox.ic){F=i.bbox.ic}if(',36,1463,']&&(',36,1466,'type==="mi"||',36,1466,'type==="mo")){if(',36,1466,'data.join("").length===1&&i.bbox.scale===1&&!',36,1466,'Get("largeop")){m=l=0}}var B',273,'subscriptshift","superscriptshift");','B.subscriptshift','=(',1669,'===""?0:',425,1669,'));','B.superscriptshift','=(',1676,'===""?0:',425,1676,'));if(!',98,'k){l',339,'l,e.TeX.sub1*G,k.bbox.h-(4/5)*E,',1669,');',376,'k,i.bbox.w+o-F,-','l,k.bbox)}}else{if(!k){g',273,710,'","texprimestyle");z=e.TeX[(g.',710,'?"sup1":(g.texprimestyle?"sup3":"sup2"))];m',339,'m,z*G,f.bbox.d+(1/4)*E,',1676,');',376,'f,i.bbox.w+o,','m,f.bbox)}else{l',339,'l,e.TeX.sub2*G);var n=',1191,'*G;if((m-f.bbox.d)-(k.bbox.h-l)<3*n){l=3*n-m+f.bbox.d+k.bbox.h;y=(4/5)*E-(m-f.bbox.d);if(y>0){m+=y;l-=y}}',376,1702,808,'m,',1676,'));',376,1690,808,'l,',1669,'))}}',54,'C',56,'C',58,'C},',996,'mmultiscripts',922,'mtable',922,'math',15,'n,g){var k=this.Get("alttext");if(k){g.setAttribute("aria-label",k)}var h=',222,'n,"nobr",{style:{visibility:"hidden"}});n=',27,'h);var l',1005,'n),i',1007,'l),m;l',232,'=h',246,232,';h',246,232,216,'if(',36,963,'if(e.msieColorBug){if(',282,'){',36,'0].',284,'=',282,';delete ',282,'}if(this',276,'){',36,'0].mathbackground=this',276,';delete this',276,'}}a.mbase.prototype','.displayAlign','=d.config',1772,';a.mbase.prototype','.displayIndent','=d.config',1776,';m=',193,36,967,'i),i)}',376,1606,'j=e.em/e.outerEm;e.em/=j;n.bbox.h','*=j;n.bbox.','d',1787,'w',1787,'lw',1787,'rw*=j;if(m&&m.bbox.width!=null){l',367,'=m.bbox.width;i',367,'="100%"}this.',270,'(n);if(m){',1199,'n,m.bbox.h*j,m.bbox.d*j,0)}if(!this.isMultiline&&this.Get("display")==="block"&&n.bbox.width==null){var o',273,'indentalignfirst','","','indentshiftfirst','","indentalign","indentshift");if(o.',1804,'!==a.INDENTALIGN.','INDENTALIGN){','o.indentalign','=o.',1804,'}if(',1811,'===a.INDENTALIGN.AUTO){',1811,'=this',1772,'}g.style.textAlign=',1811,';if(o.',1806,'!==a.INDENTSHIFT.INDENTSHIFT){','o.indentshift','=o.',1806,'}if(',1825,'==="auto"){',1825,'=this',1776,'}if(',1825,'&&',1811,1809,'CENTER){n.style[{left:"',359,'",right:"',361,'"}[',1811,']]=e.Em(',425,1825,'))}}h.',988,216,88,'n}});a.TeXAtom',15,'g){g=',27,'g);if(',36,963,29,'texClass===a.TEXCLASS.VCENTER){var f',1005,'g',1145,1007,'f);',193,36,967,'h),h);',376,'h,0,',737,'-(',1259,')/2+h.bbox.d)}else{g.bbox=',36,967,'g).bbox}}',54,'g',56,'g',58,'g}});d.Browser.Select({MSIE',91,'f){var i=f','.versionAtLeast("','7.0");var h=f',1887,'8.0")&&document.documentMode>7;var g=(document.compatMode==="BackCompat");','e.config.styles[".MathJax',' span"]={position:"relative"};',1891,' .MathJax_HitBox','"]["',284,'-color"]="white";',1891,1894,'"].opacity=0;',1891,1894,'"].filter="alpha(opacity=0)";e',1090,'getMarginScale:e.getMSIEmarginScale,','PaddingWidthBug:true,','msieAccentBug:true,msieColorBug:true,msieRelativeWidthBug:g,msieMarginWidthBug:true,msiePaddingWidthBug:true,',341,':(h&&!g),msieBorderWidthBug:g,',363,':(!h||g),msieVerticalAlignBug:(h&&!g),msiePlaceBoxBug:(h&&!g),msieClipRectBug:!h,msieNegativeSpaceBug:g,negativeSkipBug:true,msieIE6:!i,msieItalicWidthBug',':true,zeroWidthBug:true,FontFaceBug:true,','allowWebFonts',':"eot"})},Firefox',91,'g){var h=false;if(g',1887,'3.5")){var f=String','(document.location',').replace(/[^\\/]*$/,"");if',1919,'.protocol!=="file:"||(d.config.root+"/").substr(0,f',21,')===f){h="otf"}}e',1090,'ffVerticalAlignBug:true,AccentBug:true,',1913,':h})},Safari',91,'j){var h=j',1887,'3.0");var g=j',1887,'3.1");j.isMobile','=(navigator.appVersion.match','(/Mobile/i)!=null);var f',1935,'(/ Android (\\d+)\\.(\\d+)/));var k=(g&&j.isMobile&&(navigator.platform.match(/iPad|iPod|iPhone/)||(f!=null&&(f[1]<2||(f[1]==2&&f[2]<2)))));e',1090,'config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},','rfuzz:0.05,AccentBug:true,AdjustSurd:true,','safariContextMenuBug:true,','safariNegativeSpaceBug:true,',739,':!g,safariTextNodeBug:!h,','safariWebFontSerif',':["serif"],',1913,':(g&&!k?(j.isPC?"svg":"otf"):false)});if(k){var i=','MathJax.Hub.config["HTML-CSS','"];if(i){i.availableFonts=[];i.preferredFont=null}else{',1950,'"]={availableFonts:[],preferredFont:null}}}},Chrome',91,'f){e',1090,1941,1913,':"svg",',1943,1946,':[""]})},Opera',91,'f){f.isMini',1935,'("Opera Mini")!=null);',1891,' .merror"]["vertical-align"]=null;e',1090,'operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:f',1887,'10.61"),negativeSkipBug',1912,1906,1913,':(f',1887,'10.0")&&!f.isMini?"otf":false)})},Konqueror',91,'f){e',1090,751,':true,noContextMenuBug:true})}});if(d.config.menuSettings.zoom!=="None"){c.Require("[MathJax]/extensions/MathZoom.js")}e.loadComplete("jax.js")})(MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);']
]);