From b15ca6e7c5c7303dfda17a536f4fc1a02eb89b45 Mon Sep 17 00:00:00 2001 From: "Davide P. Cervone" Date: Wed, 29 Dec 2010 11:04:50 -0500 Subject: [PATCH] Move laodComplete calls to make sure they occur after the MML jax is loaded --- jax/output/HTML-CSS/config.js | 2 +- jax/output/HTML-CSS/jax.js | 4 ++-- jax/output/NativeMML/config.js | 2 +- jax/output/NativeMML/jax.js | 2 +- unpacked/jax/output/HTML-CSS/config.js | 2 +- unpacked/jax/output/HTML-CSS/jax.js | 12 +++++++++--- unpacked/jax/output/NativeMML/config.js | 2 +- unpacked/jax/output/NativeMML/jax.js | 9 +++++++-- 8 files changed, 23 insertions(+), 12 deletions(-) diff --git a/jax/output/HTML-CSS/config.js b/jax/output/HTML-CSS/config.js index b3de16772..fe3f4a336 100644 --- a/jax/output/HTML-CSS/config.js +++ b/jax/output/HTML-CSS/config.js @@ -13,6 +13,6 @@ */ MathJax.Unpack([ - ['MathJax.OutputJax','["HTML-CSS','"]=',0,'({id:"','HTML-CSS",','version:"1.0.4",directory:',0,'.directory+"/HTML-CSS','",extensionDir:',0,'.extensionDir+"/',5,'autoloadDir:',0,8,'/autoload",fontDir:',0,8,'/fonts",webfontDir:',0,'.fontDir+"/',5,'config:{scale:100,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",showMathMenu:true,styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror','":{"background-color','":"#FFFF88",color:"#CC0000','",border:"1px solid',' #CC0000",padding:"1px 3px","font-family":"serif","font-style":"normal","font-size":"90%"},".','MathJax_Preview','":{color:"#888888"},"#MathJax_Tooltip',24,'":"InfoBackground",color:"InfoText',26,' black","','box-shadow":"2px 2px 5px #AAAAAA','","-webkit-',34,'","-moz-',34,'",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color=\'gray\', Positive=\'true\')",padding:"3px 4px"}}}});',0,1,'"].Register("jax/mml");(function(b,c){var a;a=b.Insert({','minBrowserVersion',':{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},','inlineMathDelimiters',':["$","$"],','displayMathDelimiters',':["$$","$$"],','multilineDisplay',':true,','minBrowserTranslate',':function(f){var e=b.getJaxFor(f),l=["[Math]"],k;var h=','document.createElement("','span",{className:"',28,'"});var j=e.root.Get("displaystyle");if(e.inputJax.id==="TeX"){if(j){k=a.',47,';l=[k[0]+e.originalText','+k[1]];if(a.',49,'){l=l[0].split(/\\n/)}}else{k=a.',45,58,'.replace(/^\\s+/,"").replace(/\\s+$/,"")+k[1]]}}for(var g=0,d=l.length;g=0){','if(this.negativeSkipBug){',144,'i',871,';i',871,874,'j=',513,';if(i',37,'){i',492,'j,i',37,266,'i',488,'j)}j=',513,'}i',488,518,');g=',518,'.offsetLeft-j.offsetLeft;i',511,518,');',899,'i',511,'j);i',871,'=f}}',43,'/this.em},Measured:',1,'h,g){if(h','.bbox.width','==null&&h.bbox.w&&!h.bbox.isMultiline',3,'f=this.getW(h);h.bbox.rw+=f-h.bbox.w;h.bbox.w=f}if(!g){g=h',620,'}if(!','g.bbox){g.bbox','=h.bbox}return h},Remeasured:',1,'g,f){f.bbox=this.Measured(g,f).bbox},Em:',1,'f){if(Math.abs(f)<0.0006',57,'"0em"}return f.toFixed(3',').replace(/\\.?0','+$/,"")+"em"},Percent:',1,'f',57,'(100*f).toFixed(1',952,'+$/,"")+"%"},length2percent:',1,'f',57,' ','this.Percent(','this.length2em(f','))},length2em:',1,'k,i){if(typeof(k)!=="string"){k=k.toString()}if(k===""){return""}','if(k===a.SIZE.','NORMAL',57,' 1}',969,'BIG',57,' 2}',969,'SMALL',57,' 0.71}if(k==="infinity"){return e.BIGDIMEN}',225,453,'TeX_factor;if(k.match(/mathspace$/)){return e.MATHSPACE[k]*h}var g=k.match(/^\\s*([-+]?(?:\\.\\d+|\\d+(?:\\.\\d*)?))?(pt|em|ex|mu|px|in|mm|cm|%)?/);',144,'parseFloat(g','[1]||"1"),j=g[2];if(i==null){i=1','}if(j==="','em','"){return f','*h',987,'ex',989,'*e.TeX.x_height*h}if(j==="%"){return f/100*i',987,'px',989,'/e.em',987,'pt',989,'/10*h',987,'in','"){return f*this.pxPerInch/e.em',987,'cm',1005,'/2.54',987,'mm',1005,'/25.4',987,'pc',1005,'/12',987,'mu',989,'/18*h}return f*h*i},thickness2em:',1,'f',3,'g=e.TeX.rule_thickness;','if(f===a.LINETHICKNESS.','MEDIUM',57,' g}',1026,'THIN',57,' 0.67*g}',1026,'THICK',57,' 1.67*g}return ',965,',g)},createStrut:',1,'i,g,j',3,'f=',475,580,479,'height:g+"px",width:"1px",marginRight:"-1px"}});if(j){i',492,'f,i',37,266,'i',488,'f)}return f},createBlank:',1,'g,f,h',3,'i=',475,580,479,'height:"1px",width',':this.Em(f)}});if(','h){g',492,'i,g',37,266,'g',488,'i)}return i},createShift:',1,'g,f,i',3,'h=',475,'span',21,592,1063,'i){g',492,'h,g',37,266,'g',488,'h)}return h},createSpace:',1,'k,j,m,f,g',3,'i','=this.Em(','Math.max(','0,j+m)),l','=this.Em(-m);',532,'l',1093,'e.getHD(k',620,').d-m)}if(k.isBox||k',625,'=="mspace"){','k.bbox={h:j*k.scale,d:m*k.scale,w:f*k.scale,rw:f*k.scale,lw:0};k',797,'=i;k',576,'verticalAlign','=l}else{k=',500,'k,"span',21,'height:i,',1109,':l}})}if(f>=0){k',800,1093,'f);k',576,'display="inline-block"}else{',49,'msieNegativeSpaceBug){k',797,'=""}k',576,592,1093,'f);if(e.safariNegativeSpaceBug&&k',620,37,'==k){this','.createBlank(','k,0,true)}}if(g&&g!==a.COLOR.TRANSPARENT){k',576,'backgroundColor=g}return k},createRule:',1,'o,k,m,p,i',3,'j=e.TeX.min_rule_thickness;if(p>0&&p*this.em0&&(k+m)*this.em0&&n',508,'==0){n',800,1093,'p)}if(o.isBox||o',625,1104,'o.bbox=n.bbox}','return n},createFrame:',1,'o,m,n,p,r,g',3,'l=(this.msieBorderWidthBug?0:2*r);var q',1093,'m+n-l),f=this.Em(-n-r),k',1093,'p-l);var i',1093,'r)+" "+g;var j=',500,'o,"span',21,'border:i,',1153,479,'width:k,height:q},bbox:{h:m,d:n',1159,'f){j',576,1109,760,'j},createStack:',1,'h,j,g){',49,'msiePaddingWidthBug){this',515,'h,0)}var i=String(g).match(/%$/);var f=(!i&&g!=null?g:0);h=',500,'h,"span",{noAdjust:true,style:{',1153,310,'",width:(i?"100%":this.Em(f)),height:0}});if(!j){h',620,'.bbox=h.bbox={','h:-this.BIGDIMEN,d:-this.BIGDIMEN',',w:f,lw:','this.BIGDIMEN',',rw:(!i&&g!=null?g:-',1208,')};if(i){h',938,'=g}}return h},createBox:',1,'g,f',3,'h=',500,'g,"span',21,22,'"},isBox:true});if(f!=null){h',800,760,'h},addBox:',1,'f,g){g',871,874,'g.isBox=true;return f',488,'g)},placeBox:',1,'n,m,k,i',3,'o=n',620,',v=n.bbox,q=o.bbox;',49,'msiePlaceBoxBug){',520,'n,this.NBSP)}',49,'imgSpaceBug){',520,'n,this.imgSpace)}var p=n',881,'/this.em+1,z=0;if(n.noAdjust){p-=1}else{',532,500,'n,"img',636,324,'",border:0,src:"about:blank",style:{',1155,'this.Em(p',')}})}else{',500,'n,"',580,1155,1256,')}})}}n','.style.top=this.Em(-','k-p);n',576,'left',1093,'m+z);if(v){',899,'if(v.lw<0){z=v.lw;e',1133,'n,-z,true);h=0}if(v.rw>v.w){e',1133,'n,v.rw-v.w+0.1)}}if(!this.msieClipRectBug&&!v.noclip&&!i',3,'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',576,'clip="rect("+this.Em(w',')+" "+this.Em(','f',1280,'j',1280,'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',800,1093,'q.w)}}if(v.rw+m>q.rw){q.rw=v.rw+m}if(v.lw+m=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]}',1148,500,'q,"',526,'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',3,'i','=this.createStack(','u,true);var q','=this.createBox(','i),p',1362,'i);',1354,'q,(z.top','||z.ext),A,r);',1354,'p,(z.bot',1368,'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;',1297,'q,0,l,true);l-=q','.bbox.d;if(z.mid','){x',1362,'i);',1354,'x,z.mid,A,r);v+=','x.bbox.h+x.bbox.d','}if(o>v){g=',475,526,1354,'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;',1297,'this.addBox(','i,g','.cloneNode(true)),','0,l,true)}l+=m-g',1377,'&&t){',1297,'x,0,l-x.bbox.h,true);','s=j;l+=-(',1383,')+m+f-g.bbox.h}}}else{l+=(v-o)/2;if(z.mid){',1297,1397,'l+=-(',1383,')}l+=(v-o)/2}',1297,'p,0,l-p.bbox.h,true);l-=',1373,'u.bbox={w:',1094,'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:',1094,'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',3,'j',1360,'t,true);var h',1362,'j),u',1362,'j);',1354,'h,(y.left','||y.rep),A,q);',1354,'u,(y.right',1428,144,475,526,1354,'f,y.rep,A,q);var v={bbox:{',1206,'}};',1297,'h,-h.bbox.lw,0,true);var o=(','h.bbox.rw-h.bbox.lw',')+(u.bbox.rw-u.bbox.lw)-0.05,m=',1441,'-0.025;if(y.mid){v',1362,'j);',1354,'v,y.mid,A,q);o+=v.bbox.w}if(g>o',3,'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){',1297,1390,'j,f',1392,'m,0,true);m+=i}if(y.mid&&s){',1297,'v,m,0,true);m+=v.bbox.w','-p;r=l}}}else{m-=(o-g)/2;if(y.mid){',1297,1457,'}m-=(o-g)/2}',1297,'u,m,0,true);t.bbox={w:m+u.bbox.rw,lw:0,rw:m+u.bbox.rw,H:',1094,'h.bbox.h,f.bbox.h,u.bbox.h,v.bbox.h),D:',1094,'h.bbox.d,f.bbox.d,u.bbox.d,v.bbox.d),h:f.bbox.h,d:f.bbox.d};t.scale=A;t',1414,'j,t.bbox.w)},createChar:',1,'o,k,h,f',3,'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] ',456,'){for(var l=0,','g=k[0].length;l=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=',453,'VARIANT[',1564,']]}break}}}if(j.remap&&j.remap[s]){if(j.remap[s] ',456,3,'h=j.remap[s];s=h[0];j=',453,1567,'h[1]]}else{s=j.remap[s];if(','j.remap.variant','){j=',453,1567,1576,']}}}if(',453,'REMAP[s]&&!j.noRemap){s=',453,'REMAP[s]}p=this.lookupChar(j,s);y=p[s];if(j!==x&&!y[5].img){if(u','.length){',520,'f,u);u=""}f=v;x=g;if(j!==x){if(x){f=',500,'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',1591,'d){v.bbox.d=y[1',']/1000}if(v.bbox.w+y[','3]/1000=0;h--){if(g.Ranges[h][2]==k){g.Ranges.splice(h,1)}}this.loadFont(g.directory+"/"+k+".js")}}}},loadFont:',1,'g',3,'f=',223,'.Queue();','f.Push(["Require",c,this.','fontDir+"/"+g]);if(',410,'){if(!',5,'.isPacked){g=g.replace(/\\/([^\\/]*)$/,e.imgPacked+"/$1")}',1705,'webfontDir+"/png/"+g])}','d.RestartAfter(','f.Push({}))},',212,':',1,'f){f.available=f.',758,'f.family=f.name}',1713,392,212,'(f))},',249,':',1,'g,f){',216,'disable web fonts");g.',61,717,'if(',354,405,'&&',354,405,'===this.fontInUse){',410,'=true;',216,'switch to image fonts");',216,425,'");',219,'Set("Web-Fonts not available -- ',425,' instead",null,3000);c.Require',422,'",f',266,'this',234,717,'f()}},Element:',16,'Element,',17,':',16,17,',TextNode:',16,'TextNode,addText:',16,'addText,ucMatch:',16,'ucMatch,BIGDIMEN:10000000,ID:0,idPostfix:"",GetID:',13,'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,sup2:0.3628'], - ['92,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});MathJax.Hub.Register.StartupHook("mml Jax Ready",','function(){','a=MathJax.ElementJax.mml;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',';gg.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',126,')*(i.scale||1)}if(','g.w+h.lwg.rw){g.rw=g.w+h.rw}g.w+=h.w;if(i','.style.paddingRight','){g.w+=',128,'i',133,131,'h.width){g.width=h.width}},',120,93,'f','){f.h=f.d=f.H=f.D=f.','rw=-','e.BIGDIMEN',';f.w=0;f.lw=',145,';','return f},',113,93,100,'f.h===this.BIGDIMEN',143,'w=f.rw=f.lw=0}if(f.D<=f.d){delete f.D}if(f.H<=f.h){delete f.H}},HTMLzeroBBox:',15,'return{h:0,d:0,w:0,lw:0,rw:0}},',108,93,'f){',31,'isEmbellished','()){',90,'this.Core().',108,'(f)}','return false},','HTMLstretchH',93,'g,f',25,'this.HTMLspanElement','()},',50,93,'g,f,i',25,173,174,'HTMLnotEmpty',93,'f){while(f){if((f.type!=="mrow"&&f.type!=="texatom")||f.data',23,'>1',25,'true}f=f.data[0]}',168,'HTMLmeasureChild',93,'g,',100,38,'g]!=null){','e.Measured(',38,41,'f),f)}else{f.bbox=','this.HTMLzeroBBox','()}},HTMLcreateSpan',93,'f){',31,'spanID',105,173,21,'g){while(g','.firstChild','){g','.removeChild(','g',209,')}g','.bbox={w:0,h:0,d:0,lw:0,','rw:0};g.scale=1;g.isMultChar=null;g','.style.cssText','="";',90,'g}}',31,'href){f','=','e.addElement(','f,"a",{href:this.href})}f=',224,'f,"span",{className:','this.type','});if(e.imgHeightBug){f.style.display="inline-block"}if(this["class"]!=null){f.className+=" "+this["class"]}',31,'style){f',217,'=this.style;if(f','.style.fontSize','){this.mathsize=f',234,';f',234,'=""}}','this.spanID=','e.GetID();f.id=(','this.id||"MathJax-Span-"+this.spanID)+e.idPostfix',';f',215,'lr:0};',31,222,'.parentNode','.bbox=f.bbox}',149,122,':',15,'if(!this.spanID',25,'null}',90,'document.getElementById','((',242,')},','HTMLhandleVariant',93,'g,f,h){e.handleVariant(g,f,h)},HTMLhandleSize',93,'f){if(!f.scale){f.scale','=this.HTMLgetScale',21,'f.scale!==1){f',234,'=e.Percent(f.scale)}}',149,'HTMLhandleColor',93,'k){var m','=this.getValues("','mathcolor','","color");if(this','.mathbackground','){m',279,'=this',279,'}if(','this.background','){m.','background','=',285,'}',31,'style&&','k.style.backgroundColor','){m',279,'=',293,';',293,'="transparent"}if(m.color','&&!this.',277,286,277,'=m.color','}if(m.',287,'&&!this',279,'){m',279,'=m.',287,306,277,'){k.style.color=m.',277,'}if(m',279,'&&m',279,'!==a.COLOR.TRANSPARENT){var n=1/e.em,j=0,i=0;',31,'isToken){j=k.bbox.lw;i=','k.bbox.rw','-k.bbox.w','}if(k',126,'!==""){j+=',128,'k',126,')*(k.scale||1)}','if(k',133,'!==""){i-=',128,'k',133,333,'var h','=Math.max(','0,e.getW(k)+(e.PaddingWidthBug?0:i-j));if(e.','msieCharPaddingWidthBug','&&k',126,'!==""){h+=',128,'k',126,333,71,'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',279,',','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',371,362,371,364,218,'e.placeBox(',224,'g,"span",{noAdjust:true',356,'position:"absolute",overflow:"hidden",',360,287,':m',279,'}}),j,k.bbox.h+n)}k',248,'.insertBefore(','g,k',60,'g}',90,'null},HTMLremoveColor',63,'f=',258,'("',355,');if(f){f',248,211,'f)}},','HTMLhandleSpace',93,'i){',31,'useMMLspacing','){',31,'type!=="mo"){return}var g',276,'scriptlevel','","lspace","','rspace','");if(g.',414,'<=0||','this.hasValue("','lspace")||',420,416,'")){','g.lspace',342,'0,','e.length2em(',425,'));','g.rspace',342,'0,',428,431,'));var f=this,h=this.Parent();while(h&&h.',162,'()&&h.Core()===f){f=h;h=h.Parent();i=f.',122,'()}if(',425,'){i',126,'=e.Em(',425,')}if(',431,'){i',133,444,431,')}}}else{',19,'texSpacing',21,'j!==""){j=',428,'j)/(i.scale||1);if(i',126,'){j+=',128,'i',126,')}i',126,444,'j)}}},','HTMLgetScale',63,'h=1,f',276,'mathsize","',414,'","fontsize","scriptminsize");',31,'style',105,173,21,'g',234,'!=""){','f.fontsize','=g',234,'}}if(',483,301,'mathsize){','f.mathsize','=',483,'}if(f.',414,'!==0){if(f.',414,'>2){f.',414,'=2}h=Math.pow(this.Get("scriptsizemultiplier"),f.',414,');','f.scriptminsize','=',428,502,');if(h<',502,'){h=',502,'}}h*=',428,490,60,'h},HTMLgetVariant',63,'f',276,'mathvariant','","fontfamily","','fontweight','","','fontstyle','");',31,'style){var h=',173,21,'h.style.fontFamily','){','f.fontfamily','=',528,'}if(','h.style.fontWeight','){f.',520,'=',534,'}if(','h.style.fontStyle','){f.fontStyle=',540,'}}var g=f.',518,';',31,'variantForm){g="-"+e.fontInUse+"-variant"}if(',530,301,518,'){if(!f.',520,'&&f.',518,'.match(/bold/)){f.',520,'="bold"}if(!f.',522,553,518,'.match(/italic/)){f.',522,'="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:',530,',style:f.',522,',weight:f.',520,'}}}if(f.',520,'==="bold"){g={normal',':a.VARIANT.','BOLD,italic',572,'BOLDITALIC',',fraktur',572,'BOLDFRAKTUR,script',572,'BOLDSCRIPT,"','sans-serif":a.VARIANT.','BOLDSANSSERIF',',"sans-serif','-italic":a.VARIANT.','SANSSERIFBOLDITALIC}[g]||g}else{if(f.',520,'==="normal"){g={','bold',572,'normal,"bold',584,'ITALIC,"bold-fraktur":a.VARIANT.FRAKTUR,"bold-script":a.VARIANT.SCRIPT,"bold-',581,'SANSSERIF',583,'-bold',584,'SANSSERIFITALIC','}[g]||g}}','if(f.',522,'==="italic"){g={normal',572,'ITALIC,bold',572,575,',"',581,598,',"bold-',581,585,522,587,'italic',572,'NORMAL,"bold',584,'BOLD',583,584,'SANSSERIF',583,'-bold',584,582,599,90,'e.FONTDATA.','VARIANT[g',']}},{HTMLautoload',63,'f=','e.autoloadDir+"/"+',228,'+".js";d.RestartAfter(c.Require(','f))},',95,93,'f',105,634,'f',636,'g))},',169,93,'g,f','){this.HTMLremoveColor();','return this.toHTML(g,f',')},',50,93,177,649,650,',i)}});a.chars',17,'g,f){this.',262,'(g,f,','this.data.join','("").','replace(/[\\u2061-\\u2064]/g,""))}});a.','entity',17,659,262,'(g,f,this.toString().',664,'mi',17,'j){j',33,29,'j));j','.bbox=null;','var h=this','.HTMLgetVariant();for(var g=0,f=this.data.length;gk.bbox.w){k.bbox.ic=',325,326,';e.createBlank(k,k.bbox.ic);k.bbox.w=',325,'}}',56,'k',58,'k',60,'k},',108,93,'f){if(!this.','Get("stretchy")){',90,'false}var g=',662,'("");if(g',23,'>1',25,'false}g=',629,'DELIMITERS[','g.charCodeAt(0)];return(g&&g.dir==f.substr(0,1))},',50,93,'l,k,n',649,'var f',276,'symmetric","','maxsize","minsize','");var j=',173,'(),g;var i=',740,',m=j.scale;','if(f.symmetric){g','=2*','Math.max(','k-i,n+i)}else{g=k+n}f.maxsize=',428,'f.maxsize,','j.bbox.h+j.bbox.d',');f.minsize=',428,'f.minsize,',815,');g',342,818,'Math.min(',814,'g));j=',29,'l);','e.createDelimiter(','j,',662,'("").charCodeAt(0),','g,m);',809,'=(',815,')/2+i}else{g=(',815,')*k/(k+n)}e.positionDelimiter(j,g);',56,'j',58,'j',60,'j},',169,93,'i,f',649,'var g',276,803,'","',518,'","',520,417,520,'==="bold"&&!this.',518,'){g.',518,'=a.VARIANT.BOLD',103,173,'(),j=h.scale;','g.maxsize','=',428,866,',h.bbox.w);g.minsize=',428,'g.minsize,','h.bbox.w);f',342,872,823,866,',f));h=',29,'i);',828,'h,',662,831,'f,j,g.',518,');',56,'h',58,'h',60,'h}});a.mtext',17,'k){k',33,29,'k));k',677,31,'Parent().type==="merror"){e.addText(k,',662,'(""));',71,'e.getHD(k),g=e.getW(k);k.bbox={h:l.h,d:l.d,w:g,lw:0,rw:g}}else{',709,65,35,67,'if(',38,70,38,728,662,'("").',730,'}}',56,'k',58,'k',60,'k}});a.ms','.Augment({toHTML:a.mbase.HTMLautoload});a.','mglyph',925,'mspace',17,'j){j',33,29,'j));var g',276,'height","depth","width','");g',279,'=this',279,';if(',285,'&&!this',279,'){g',279,'=',285,'}var i=',428,'g.height),k=',428,'g.depth),f=',428,'g.width);',738,'j,i,k,f,g',279,60,683,'mphantom',17,'j,g,l){j=',29,'j);if(',38,'0]!=null){','var k=',195,38,'0].toHTML(','j),',964,'l!=null){e.Remeasured(',38,'0].',50,'(j,g,l),j)}else{if(g!=null){e.Remeasured(',38,'0].',169,'(j,g),j)}}j.bbox={w:','k.bbox.w,','h:k.bbox.h,d:k.bbox.d,','lw:0,rw:0};',65,'j.childNodes',23,67,986,'[h].','style.visibility','="hidden"}}',56,'j',58,'j',60,'j},','HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});a.','mpadded',17,'j,h,l){j=',29,964,38,966,'var g','=e.createStack(','j,true);var k','=e.createBox(','g);',195,38,970,'k),k);if(l!=null){e.Remeasured(',38,'0].',50,'(k,h,l),k)}else{if(h!=null){e.Remeasured(',38,'0].',169,'(k,h),k)}}var i',276,935,415,'voffset"),f=0,m=0;if(i.lspace){f','=this.HTMLlength2em(k,i.','lspace)}if(i.voffset){m',1028,'voffset)}',379,'k,f,m);j.bbox={',983,'w:',982,'lw:',823,'0,k.bbox.lw+f),rw:',811,982,325,'+f),H',':Math.max((k.bbox.','H==null?-',145,':k.bbox.H),k.bbox.h+m),D',1044,'D==null?-',145,':k.bbox.D),k.bbox.d-m)};if(i.height','!==""){j.bbox.','h',1028,'height,"h",0)}if(i.depth',1052,'d',1028,'depth,"d",0)}if(i.width',1052,'w',1028,'width,"w",0)}if(j.bbox.H<=j.bbox.h','){delete j.bbox.','H}if(j.bbox.D<=j.bbox.d',1064,'D}e.setStackWidth(g,j.bbox.w)}',56,'j',58,'j',60,'j},HTMLlength2em',93,'j,k,l,',100,'f==null){f=-',145,103,'String(k).match','(/width|height|depth/);var i=(h?j.bbox[h[0].charAt(0)]:(l?j.bbox[l]:null));var g=',428,'k,i);if(l&&',1080,'(/^\\s*[-+]/)){',90,811,'f,j.bbox[l]+g)}else{',90,'g}},',999,'mrow','.Augment({',169,93,'h,f',649,'var g=',173,'();',38,'this.core].',169,'(g,f);',43,'g,true',58,'g',60,'g},',50,93,'i,g,j',649,'var f=',173,'();',38,1102,50,'(f,g,j);',43,'f,true',58,'f',60,'f}});a.mstyle',17,100,38,966,'f=',38,970,'f);',240,38,'0].spanID;',56,'f);this.',273,'(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',17,'y){y=',29,'y',');var h',1008,'y);var k',1010,'h),j',1010,'h',');this.HTMLmeasureChild(','0,k',1155,'1,j);var f',276,713,'","linethickness","numalign","denomalign","bevelled");var C',267,'(),x=f.',713,';var B=',740,'*C;if(f.bevelled){var A=(x?0.4:0.15);var l',342,353,',',815,')+2*A;var z',1010,'h);',828,'z,47,l);',379,'k,0,(k.bbox.d-k','.bbox.h)/2+B','+A);',379,'z,k.bbox.w-A/2,(z.bbox.d-z',1179,');',379,'j,k.bbox.w+z.bbox.w-A,(j.bbox.d-j',1179,'-A)}else{var g',342,982,'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(ro){f+=((',353,')-(o-s))/2}var u=',629,794,629,'RULECHAR];if(!u||iF){F=q.bbox.w}if(!I[H]&&F>g){g=F}}}if(g==-',145,'){g=F}if(',1504,'){g=F=B}var w=',1194,',A=',629,'TeX_factor;var h=l[',1466,']||{bbox:',199,174,'J=(h.bbox.ic||0);var p,n,s,r,o,v,E;for(H=0,C=',35,';H0){m+=y;l-=y}}',379,1705,811,'m,',1679,'));',379,1693,811,'l,',1672,'))}}',56,'C',58,'C',60,'C},',999,'mmultiscripts',925,'mtable',925,'math',17,'n,g){var k=this.Get("alttext");if(k){g.setAttribute("aria-label",k)}var h=',224,'n,"nobr",{style:{visibility:"hidden"}});n=',29,'h);var l',1008,'n),i',1010,'l),m;l',234,'=h',248,234,';h',248,234,218,'if(',38,966,'if(e.msieColorBug){if(',285,'){',38,'0].',287,'=',285,';delete ',285,'}if(this',279,'){',38,'0].mathbackground=this',279,';delete this',279,'}}a.mbase.prototype','.displayAlign','=d.config',1775,';a.mbase.prototype','.displayIndent','=d.config',1779,';m=',195,38,970,'i),i)}',379,1609,'j=e.em/e.outerEm;e.em/=j;n.bbox.h','*=j;n.bbox.','d',1790,'w',1790,'lw',1790,'rw*=j;if(m&&m.bbox.width!=null){l',370,'=m.bbox.width;i',370,'="100%"}this.',273,'(n);if(m){',1202,'n,m.bbox.h*j,m.bbox.d*j,0)}if(!this.isMultiline&&this.Get("display")==="block"&&n.bbox.width==null){var o',276,'indentalignfirst','","','indentshiftfirst','","indentalign","indentshift");if(o.',1807,'!==a.INDENTALIGN.','INDENTALIGN){','o.indentalign','=o.',1807,'}if(',1814,'===a.INDENTALIGN.AUTO){',1814,'=this',1775,'}g.style.textAlign=',1814,';if(o.',1809,'!==a.INDENTSHIFT.INDENTSHIFT){','o.indentshift','=o.',1809,'}if(',1828,'==="auto"){',1828,'=this',1779,'}if(',1828,'&&',1814,1812,'CENTER){n.style[{left:"',362,'",right:"',364,'"}[',1814,']]=e.Em(',428,1828,'))}}h.',991,218,90,'n}});a.TeXAtom',17,'g){g=',29,'g);if(',38,966,31,'texClass===a.TEXCLASS.VCENTER){var f',1008,'g',1148,1010,'f);',195,38,970,'h),h);',379,'h,0,',740,'-(',1262,')/2+h.bbox.d)}else{g.bbox=',38,970,'g).bbox}}',56,'g',58,'g',60,'g}})});d.Browser.Select({MSIE',93,'f){var i=f','.versionAtLeast("','7.0");var h=f',1890,'8.0")&&document.documentMode>7;var g=(document.compatMode==="BackCompat");','e.config.styles[".MathJax .MathJax_HitBox','"]["',287,'-color"]="white";',1894,'"].opacity=0;',1894,'"].filter="alpha(opacity=0)";e',1093,'getMarginScale:e.getMSIEmarginScale,','PaddingWidthBug:true,','msieAccentBug:true,msieColorBug:true,msieRelativeWidthBug:g,msieMarginWidthBug:true,msiePaddingWidthBug:true,',344,':(h&&!g),msieBorderWidthBug:g,',366,':(!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',93,'g){var h=false;if(g',1890,'3.5")){var f=String','(document.location',').replace(/[^\\/]*$/,"");if',1917,'.protocol!=="file:"||(d.config.root+"/").substr(0,f',23,')===f){h="otf"}}e',1093,'ffVerticalAlignBug:true,AccentBug:true,',1911,':h})},Safari',93,'j){var h=j',1890,'3.0");var g=j',1890,'3.1");j.isMobile','=(navigator.appVersion.match','(/Mobile/i)!=null);var f',1933,'(/ 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',1093,'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,',742,':!g,safariTextNodeBug:!h,','safariWebFontSerif',':["serif"],',1911,':(g&&!k?(j.isPC?"svg":"otf"):false)});if(k){var i=','MathJax.Hub.config["HTML-CSS','"];if(i){i.availableFonts=[];i.preferredFont=null}else{',1948,'"]={availableFonts:[],preferredFont:null}}}},Chrome',93,'f){e',1093,1939,1911,':"svg",',1941,1944,':[""]})},Opera',93,'f){f.isMini',1933,'("Opera Mini")!=null);e.config.styles[".MathJax .merror"]["vertical-align"]=null;e',1093,'operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:f',1890,'10.61"),negativeSkipBug',1910,1904,1911,':(f',1890,'10.0")&&!f.isMini?"otf":false)})},Konqueror',93,'f){e',1093,754,':true,noContextMenuBug:true})}});if(d.config.menuSettings.zoom!=="None"){c.Require("[MathJax]/extensions/MathZoom.js")}e.loadComplete("jax.js")})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);'] + ['(','function(','c,d,e','){var ','a;var b=','MathJax','.Object.Subclass({timeout:5*1000,FontInfo:{STIX:{family:"STIXSizeOneSym",','testString',':"() {} []"},TeX:{family:"MathJax_Size1",',7,':"() {} []"}},','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=',14,'.firstChild','},findFont:',1,'j,g){if(g&&this.','testCollection','(g)){','return g','}for(var ','h=0,f=j','.length;h=0){','if(this.negativeSkipBug){',144,'i',871,';i',871,874,'j=',513,';if(i',37,'){i',492,'j,i',37,266,'i',488,'j)}j=',513,'}i',488,518,');g=',518,'.offsetLeft-j.offsetLeft;i',511,518,');',899,'i',511,'j);i',871,'=f}}',43,'/this.em},Measured:',1,'h,g){if(h','.bbox.width','==null&&h.bbox.w&&!h.bbox.isMultiline',3,'f=this.getW(h);h.bbox.rw+=f-h.bbox.w;h.bbox.w=f}if(!g){g=h',620,'}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',57,'"0em"}return f.toFixed(3',').replace(/\\.?0','+$/,"")+"em"},Percent:',1,'f',57,'(100*f).toFixed(1',952,'+$/,"")+"%"},length2percent:',1,'f',57,' ','this.Percent(','this.length2em(f','))},length2em:',1,'k,i){if(typeof(k)!=="string"){k=k.toString()}if(k===""){return""}','if(k===a.SIZE.','NORMAL',57,' 1}',969,'BIG',57,' 2}',969,'SMALL',57,' 0.71}if(k==="infinity"){return e.BIGDIMEN}',225,453,'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|%)?/);',144,'parseFloat(g','[1]||"1"),j=g[2];if(i==null){i=1','}if(j==="','em','"){return f','*h',987,'ex',989,'*e.TeX.x_height*h}if(j==="%"){return f/100*i',987,'px',989,'/e.em',987,'pt',989,'/10*h',987,'in','"){return f*this.pxPerInch/e.em',987,'cm',1005,'/2.54',987,'mm',1005,'/25.4',987,'pc',1005,'/12',987,'mu',989,'/18*h}return f*h*i},thickness2em:',1,'f',3,'g=e.TeX.rule_thickness;','if(f===a.LINETHICKNESS.','MEDIUM',57,' g}',1026,'THIN',57,' 0.67*g}',1026,'THICK',57,' 1.67*g}return ',965,',g)},createStrut:',1,'i,g,j',3,'f=',475,580,479,'height:g+"px",width:"1px",marginRight:"-1px"}});if(j){i',492,'f,i',37,266,'i',488,'f)}return f},createBlank:',1,'g,f,h',3,'i=',475,580,479,'height:"1px",width',':this.Em(f)}});if(','h){g',492,'i,g',37,266,'g',488,'i)}return i},createShift:',1,'g,f,i',3,'h=',475,'span',21,592,1063,'i){g',492,'h,g',37,266,'g',488,'h)}return h},createSpace:',1,'k,j,m,f,g',3,'i','=this.Em(','Math.max(','0,j+m)),l','=this.Em(-m);',532,'l',1093,'e.getHD(k',620,').d-m)}if(k.isBox||k',625,'=="mspace"){','k.bbox={h:j*k.scale,d:m*k.scale,w:f*k.scale,rw:f*k.scale,lw:0};k',797,'=i;k',576,'verticalAlign','=l}else{k=',500,'k,"span',21,'height:i,',1109,':l}})}if(f>=0){k',800,1093,'f);k',576,'display="inline-block"}else{',49,'msieNegativeSpaceBug){k',797,'=""}k',576,592,1093,'f);if(e.safariNegativeSpaceBug&&k',620,37,'==k){this','.createBlank(','k,0,true)}}if(g&&g!==a.COLOR.TRANSPARENT){k',576,'backgroundColor=g}return k},createRule:',1,'o,k,m,p,i',3,'j=e.TeX.min_rule_thickness;if(p>0&&p*this.em0&&(k+m)*this.em0&&n',508,'==0){n',800,1093,'p)}if(o.isBox||o',625,1104,'o.bbox=n.bbox}','return n},createFrame:',1,'o,m,n,p,r,g',3,'l=(this.msieBorderWidthBug?0:2*r);var q',1093,'m+n-l),f=this.Em(-n-r),k',1093,'p-l);var i',1093,'r)+" "+g;var j=',500,'o,"span',21,'border:i,',1153,479,'width:k,height:q},bbox:{h:m,d:n',1159,'f){j',576,1109,760,'j},createStack:',1,'h,j,g){',49,'msiePaddingWidthBug){this',515,'h,0)}var i=String(g).match(/%$/);var f=(!i&&g!=null?g:0);h=',500,'h,"span",{noAdjust:true,style:{',1153,310,'",width:(i?"100%":this.Em(f)),height:0}});if(!j){h',620,'.bbox=h.bbox={','h:-this.BIGDIMEN,d:-this.BIGDIMEN',',w:f,lw:','this.BIGDIMEN',',rw:(!i&&g!=null?g:-',1208,')};if(i){h',938,'=g}}return h},createBox:',1,'g,f',3,'h=',500,'g,"span',21,22,'"},isBox:true});if(f!=null){h',800,760,'h},addBox:',1,'f,g){g',871,874,'g.isBox=true;return f',488,'g)},placeBox:',1,'n,m,k,i',3,'o=n',620,',v=n.bbox,q=o.bbox;',49,'msiePlaceBoxBug){',520,'n,this.NBSP)}',49,'imgSpaceBug){',520,'n,this.imgSpace)}var p=n',881,'/this.em+1,z=0;if(n.noAdjust){p-=1}else{',532,500,'n,"img',636,324,'",border:0,src:"about:blank",style:{',1155,'this.Em(p',')}})}else{',500,'n,"',580,1155,1256,')}})}}n','.style.top=this.Em(-','k-p);n',576,'left',1093,'m+z);if(v){',899,'if(v.lw<0){z=v.lw;e',1133,'n,-z,true);h=0}if(v.rw>v.w){e',1133,'n,v.rw-v.w+0.1)}}if(!this.msieClipRectBug&&!v.noclip&&!i',3,'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',576,'clip="rect("+this.Em(w',')+" "+this.Em(','f',1280,'j',1280,'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',800,1093,'q.w)}}if(v.rw+m>q.rw){q.rw=v.rw+m}if(v.lw+m=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]}',1148,500,'q,"',526,'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',3,'i','=this.createStack(','u,true);var q','=this.createBox(','i),p',1362,'i);',1354,'q,(z.top','||z.ext),A,r);',1354,'p,(z.bot',1368,'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;',1297,'q,0,l,true);l-=q','.bbox.d;if(z.mid','){x',1362,'i);',1354,'x,z.mid,A,r);v+=','x.bbox.h+x.bbox.d','}if(o>v){g=',475,526,1354,'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;',1297,'this.addBox(','i,g','.cloneNode(true)),','0,l,true)}l+=m-g',1377,'&&t){',1297,'x,0,l-x.bbox.h,true);','s=j;l+=-(',1383,')+m+f-g.bbox.h}}}else{l+=(v-o)/2;if(z.mid){',1297,1397,'l+=-(',1383,')}l+=(v-o)/2}',1297,'p,0,l-p.bbox.h,true);l-=',1373,'u.bbox={w:',1094,'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:',1094,'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',3,'j',1360,'t,true);var h',1362,'j),u',1362,'j);',1354,'h,(y.left','||y.rep),A,q);',1354,'u,(y.right',1428,144,475,526,1354,'f,y.rep,A,q);var v={bbox:{',1206,'}};',1297,'h,-h.bbox.lw,0,true);var o=(','h.bbox.rw-h.bbox.lw',')+(u.bbox.rw-u.bbox.lw)-0.05,m=',1441,'-0.025;if(y.mid){v',1362,'j);',1354,'v,y.mid,A,q);o+=v.bbox.w}if(g>o',3,'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){',1297,1390,'j,f',1392,'m,0,true);m+=i}if(y.mid&&s){',1297,'v,m,0,true);m+=v.bbox.w','-p;r=l}}}else{m-=(o-g)/2;if(y.mid){',1297,1457,'}m-=(o-g)/2}',1297,'u,m,0,true);t.bbox={w:m+u.bbox.rw,lw:0,rw:m+u.bbox.rw,H:',1094,'h.bbox.h,f.bbox.h,u.bbox.h,v.bbox.h),D:',1094,'h.bbox.d,f.bbox.d,u.bbox.d,v.bbox.d),h:f.bbox.h,d:f.bbox.d};t.scale=A;t',1414,'j,t.bbox.w)},createChar:',1,'o,k,h,f',3,'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] ',456,'){for(var l=0,','g=k[0].length;l=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=',453,'VARIANT[',1564,']]}break}}}if(j.remap&&j.remap[s]){if(j.remap[s] ',456,3,'h=j.remap[s];s=h[0];j=',453,1567,'h[1]]}else{s=j.remap[s];if(','j.remap.variant','){j=',453,1567,1576,']}}}if(',453,'REMAP[s]&&!j.noRemap){s=',453,'REMAP[s]}p=this.lookupChar(j,s);y=p[s];if(j!==x&&!y[5].img){if(u','.length){',520,'f,u);u=""}f=v;x=g;if(j!==x){if(x){f=',500,'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',1591,'d){v.bbox.d=y[1',']/1000}if(v.bbox.w+y[','3]/1000=0;h--){if(g.Ranges[h][2]==k){g.Ranges.splice(h,1)}}this.loadFont(g.directory+"/"+k+".js")}}}},loadFont:',1,'g',3,'f=',223,'.Queue();','f.Push(["Require",c,this.','fontDir+"/"+g]);if(',410,'){if(!',5,'.isPacked){g=g.replace(/\\/([^\\/]*)$/,e.imgPacked+"/$1")}',1705,'webfontDir+"/png/"+g])}','d.RestartAfter(','f.Push({}))},',212,':',1,'f){f.available=f.',758,'f.family=f.name}',1713,392,212,'(f))},',249,':',1,'g,f){',216,'disable web fonts");g.',61,717,'if(',354,405,'&&',354,405,'===this.fontInUse){',410,'=true;',216,'switch to image fonts");',216,425,'");',219,'Set("Web-Fonts not available -- ',425,' instead",null,3000);c.Require',422,'",f',266,'this',234,717,'f()}},Element:',16,'Element,',17,':',16,17,',TextNode:',16,'TextNode,addText:',16,'addText,ucMatch:',16,'ucMatch,BIGDIMEN:10000000,ID:0,idPostfix:"",GetID:',13,'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,s'], + ['ub1:0.15,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});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){a=MathJax.ElementJax.mml;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',';gg.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.lwg.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;gk.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(ro){f+=((',350,')-(o-s))/2}var u=',626,791,626,'RULECHAR];if(!u||iF){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,';H0){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}});setTimeout(MathJax.Callback(["loadComplete",e,"jax.js"]),0)});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 .MathJax_HitBox','"]["',284,'-color"]="white";',1891,'"].opacity=0;',1891,'"].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',1914,'.protocol!=="file:"||(d.config.root+"/").substr(0,f',21,')===f){h="otf"}}e',1090,'ffVerticalAlignBug:true,AccentBug:true,',1908,':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',1930,'(/ 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"],',1908,':(g&&!k?(j.isPC?"svg":"otf"):false)});if(k){var i=','MathJax.Hub.config["HTML-CSS','"];if(i){i.availableFonts=[];i.preferredFont=null}else{',1945,'"]={availableFonts:[],preferredFont:null}}}},Chrome',91,'f){e',1090,1936,1908,':"svg",',1938,1941,':[""]})},Opera',91,'f){f.isMini',1930,'("Opera Mini")!=null);e.config.styles[".MathJax .merror"]["vertical-align"]=null;e',1090,'operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:f',1887,'10.61"),negativeSkipBug',1907,1901,1908,':(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")}})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);'] ]); diff --git a/jax/output/NativeMML/config.js b/jax/output/NativeMML/config.js index 2f5b93f19..068d8b59f 100644 --- a/jax/output/NativeMML/config.js +++ b/jax/output/NativeMML/config.js @@ -13,6 +13,6 @@ */ MathJax.Unpack([ - ['MathJax.OutputJax','.','NativeMML','=',0,'({id:"',2,'",version:"1.0.1",directory:',0,'.directory+"/',2,'",extensionDir:',0,'.extensionDir+"/',2,'",config:{scale:100,showMathMenu:true,showMathMenuMSIE:true,styles:{"DIV.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});',0,'.',2,'.Register("jax/mml");(function(b){if(b.isMSIE){var a=document.createElement("object");a.id="mathplayer";a.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(a);','document.namespaces.','add("mjx","http://www.w3.org/1998/Math/MathML");',20,'mjx.doImport("#mathplayer")}})(MathJax.Hub.Browser);',0,'.',2,'.loadComplete("config.js");'] + ['MathJax.OutputJax','.','NativeMML','=',0,'({id:"',2,'",version:"1.0.2",directory:',0,'.directory+"/',2,'",extensionDir:',0,'.extensionDir+"/',2,'",config:{scale:100,showMathMenu:true,showMathMenuMSIE:true,styles:{"DIV.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});',0,'.',2,'.Register("jax/mml");(function(b){if(b.isMSIE){var a=document.createElement("object");a.id="mathplayer";a.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(a);','document.namespaces.','add("mjx","http://www.w3.org/1998/Math/MathML");',20,'mjx.doImport("#mathplayer")}})(MathJax.Hub.Browser);',0,'.',2,'.loadComplete("config.js");'] ]); diff --git a/jax/output/NativeMML/jax.js b/jax/output/NativeMML/jax.js index 43aef4408..db6e343f4 100644 --- a/jax/output/NativeMML/jax.js +++ b/jax/output/NativeMML/jax.js @@ -13,6 +13,6 @@ */ MathJax.Unpack([ - ['(','function','(b,e,d','){var ','a,c=e.Browser.isMSIE;','b.Augment({','LEFTBUTTON',':(c?1:0),MENUKEY:"altKey",','noContextMenuBug',':e.Browser.isKonequeror,msieQuirks:(c&&!(document.compatMode==="BackCompat")),','config:{styles',':{}},settings:','e.config.menuSettings',',Startup:',1,'(){','return ','MathJax.','Ajax.Styles(','this.config.','styles)},Config:',1,'(){this.SUPER(arguments).Config','.call(this',');if(','this.settings.scale','){',19,'scale=',25,'}},Translate:',1,'(g){if(!g','.parentNode','){return','}var k=g','.previousSibling',';if(k&&String(k.className).match(/^MathJax(_MathML|_Display)?$/)){k',33,'.removeChild(','k)}var j=g.',17,'elementJax.root;var i=(j.Get("display")==="block"?"div":"span");var h=document.','createElement','(i),f=h;h.className="','MathJax_MathML','";h.style.fontSize=',19,'scale+"%";if(c){f=','MathJax.HTML.addElement(','h,"span",{className:"MathJax_MathContainer",','style:{display:"inline-block",','position:"relative','"}})}j.','toNativeMML(','f);g',33,'.insertBefore(h,g);if(c){if(',19,'showMathMenuMSIE){this.MSIEoverlay(h)}}else{j=h','.firstChild',';j.','oncontextmenu','=this.','ContextMenu',';j.','onmouseover',63,'Mouseover',';j.','onmousedown',63,'Mousedown;j.onclick',63,'Click',';j.','ondblclick',63,'DblClick','}},Remove:',1,'(f',3,'g=f.SourceElement();if(!g',34,'}g=g',36,';if(!g',34,'}if(g.className.match(/',45,'/)){g',33,39,'g)}},MMLnamespace:"http://www.w3.org/1998/Math/MathML",MSIEoverlay:',1,'(m',3,'l=m',60,';','m.style.position','="absolute";var n','=m.scrollHeight',',h=m.offsetWidth;var j=',49,'m,"img",{src:"about:blank",style:{','width:0,height:','n+"px"}});var f',103,'-n;m',39,'j);',101,'="";var k,i,g=(m',33,'.nodeName.toLowerCase()==="','div");if(g&&this.quirks){k=-n;i=Math.floor(-h/2)}else{k=f-n,i=-h}',49,'m,"span",{',51,107,'0,',52,'"}},[["span",{',51,'position:"absolute",left:i+"px",top:k+"px",width:l.offsetWidth+"px",height:n+"px",cursor:"pointer","background-color":"white",filter:"alpha(opacity=0)"},',70,':this.MSIEevent',',',62,128,',onclick',128,',onmousemove',128,',',76,128,',',66,128,',onmouseout',128,'}]])},MSIEmath:',1,'(f',3,'g=f',33,36,60,';return(g',116,'span"?g',60,':g)},MSIEevent:',1,'(){var g=b.MSIEmath(this);var f','=window.event',';var h=b["MSIE"+f.type];if(h&&h.call(b,f,g,this)){','return false','}g.fireEvent("on"+f.type,f);',161,'},MSIEmousedown:',1,'(h,g,f){if(','h[this.MENUKEY]&&h.button===this.',6,'&&this','.settings.context','!=="','MathJax"){this.trapUp=this.trapClick=true;this.ContextMenu.call(f,h,true);return true}','if(','this.MSIEzoomKeys','&&',174,'(h)){this.trapUp=true;',16,'true}',161,'},MSIEcontextmenu:',1,166,'this',170,'==="',172,161,'},',64,':',1,'(i,j','){if(b.config.showMathMenu','&&(b',170,'==="MathJax','"||j)){if(b.safariContextMenuBug','){setTimeout("','window.getSelection().','empty()",0)}var ','g=',17,'Menu;if(g){if(','document.selection',199,205,'.',201,'f=(c?this',33,33,'.nextSibling',':this',33,213,');g.jax=e.getJaxFor(f);g.menu.items[1].menu.items[1].name=(','g.jax.inputJax.id','==="MathML"?"Original":',218,');','delete ','b.trapClick;',222,'b.trapUp;',16,'g.menu.Post(i)}else{if(!','d.loadingMathMenu','){',228,'=true;if(!i){i',159,'}var h={pageX:i.pageX,pageY:i.pageY,clientX:i.clientX,clientY:i.clientY};',17,'Callback.Queue(','d.Require("[MathJax]/extensions/','MathMenu.js"),',1,'(){',222,228,'},[this,arguments.callee,h,j])}if(!i){i',159,'}if(','i.preventDefault','){',245,'()}if(','i.stopPropagation','){',249,'()}i.cancelBubble=true;i.returnValue=false;',161,'}}},Mousedown:',1,'(f',194,'){if(!f){f',159,'}if(b',170,197,'"){if(!b.',8,'||f.button!==2',34,'}}else{if(!f[b.MENUKEY]||f.button!==b.',6,34,'}}',16,'b.',64,23,',f,true)}},',68,':',1,'(f){b.HandleEvent(f,"',68,'",this)},',74,':',1,279,74,281,78,':',1,279,78,281,'HandleEvent:',1,'(h,f,g){},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em"}});','MathJax.Hub.Register.StartupHook("','mml Jax Ready",',1,'(){a=',17,'ElementJax.mml;a.mbase','.Augment({toNativeMML:function(','k',3,'h=','this.NativeMMLelement','(this.type);','this.NativeMMLattributes(h);','for(var j=','0',',g=this.data.length;j