mw.loader.implement("ext.math.mathjax.jax.element.mml",function($,jQuery){MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.3",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display");}delete this.root.attr.mode;for(var i=0,m=this.root.attrNames.length;i0&&this.Get("scriptlevel")>0&&space>=0){return""}return this.TEXSPACELENGTH[Math.abs(space)];},TEXSPACELENGTH:["",MML.LENGTH.THINMATHSPACE,MML.LENGTH.MEDIUMMATHSPACE,MML.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0, 0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(name){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var i=0,m=this.data.length;i=0xD800&&mi.charCodeAt(0)<0xDC00)?MML.VARIANT.ITALIC:MML.VARIANT.NORMAL);}return"";},setTeXclass:function(prev){this.getPrevClass(prev);var name=this.data.join("");if(name.length>1&&name.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===MML.TEXCLASS.ORD){this.texClass=MML.TEXCLASS.OP;this.autoOP=true;}return this;}});MML.mn=MML.mbase.Subclass({type:"mn",isToken:true,texClass:MML.TEXCLASS.ORD,defaults:{mathvariant:MML.INHERIT,mathsize:MML.INHERIT,mathbackground:MML.INHERIT,mathcolor:MML.INHERIT,dir:MML.INHERIT}});MML.mo=MML.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:MML.INHERIT,mathsize:MML.INHERIT,mathbackground:MML.INHERIT,mathcolor:MML.INHERIT,dir:MML.INHERIT,form:MML.AUTO,fence:MML.AUTO,separator:MML.AUTO,lspace:MML.AUTO,rspace:MML.AUTO,stretchy:MML.AUTO,symmetric:MML.AUTO,maxsize:MML.AUTO,minsize:MML.AUTO,largeop:MML.AUTO,movablelimits:MML.AUTO,accent:MML.AUTO,linebreak:MML.LINEBREAK.AUTO,lineleading:MML. INHERIT,linebreakstyle:MML.AUTO,linebreakmultchar:MML.INHERIT,indentalign:MML.INHERIT,indentshift:MML.INHERIT,indenttarget:MML.INHERIT,indentalignfirst:MML.INHERIT,indentshiftfirst:MML.INHERIT,indentalignlast:MML.INHERIT,indentshiftlast:MML.INHERIT,texClass:MML.AUTO},defaultDef:{form:MML.FORM.INFIX,fence:false,separator:false,lspace:MML.LENGTH.THICKMATHSPACE,rspace:MML.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:true,maxsize:MML.SIZE.INFINITY,minsize:'0em',largeop:false,movablelimits:false,accent:false,linebreak:MML.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:MML.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:MML.INDENTALIGN.INDENTALIGN,indentshiftfirst:MML.INDENTSHIFT.INDENTSHIFT,indentalignlast:MML.INDENTALIGN.INDENTALIGN,indentshiftlast:MML.INDENTSHIFT.INDENTSHIFT,texClass:MML.TEXCLASS.REL},SPACE_ATTR:{lspace:0x01,rspace:0x02,form:0x04},useMMLspacing:0x07,autoDefault:function(name,nodefault){var def=this.def;if(!def){if(name==="form"){ this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var mo=this.data.join("");var forms=[this.Get("form"),MML.FORM.INFIX,MML.FORM.POSTFIX,MML.FORM.PREFIX];for(var i=0,m=forms.length;i=0xD800&&n<0xDC00){n=(((n-0xD800)<<10)+(mo.charCodeAt(1)-0xDC00))+0x10000}for(var i=0,m=this.RANGES.length;i=0;i--){if(this.data[0]&&!this.data[i].isSpacelike()){return this .data[i]}}return null;},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core];},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO();},toString:function(){if(this.inferred){return'['+this.data.join(',')+']'}return this.SUPER(arguments).toString.call(this);},setTeXclass:function(prev){for(var i=0,m=this.data.length;i0){level++}return level;},adjustChild_texprimestyle:function(n){if(n==this.den){return true}return this.Get("texprimestyle");},setTeXclass:MML.mbase.setSeparateTeXclasses});MML.msqrt=MML.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:MML.TEXCLASS.ORD,setTeXclass:MML.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(n){return true}});MML.mroot=MML.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:MML.TEXCLASS.ORD,adjustChild_displaystyle:function(n){if(n===1){return false}return this.Get("displaystyle");},adjustChild_scriptlevel:function(n){var level=this.Get("scriptlevel");if(n===1){level+=2}return level;},adjustChild_texprimestyle:function(n){if(n===0){return true};return this.Get("texprimestyle");},setTeXclass:MML. mbase.setSeparateTeXclasses});MML.mstyle=MML.mbase.Subclass({type:"mstyle",isSpacelike:MML.mbase.childrenSpacelike,isEmbellished:MML.mbase.childEmbellished,Core:MML.mbase.childCore,CoreMO:MML.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:MML.INHERIT,displaystyle:MML.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:MML.INHERIT,mathcolor:MML.INHERIT,dir:MML.INHERIT,infixlinebreakstyle:MML.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(n){var level=this.scriptlevel;if(level==null){level=this.Get("scriptlevel");}else if(String(level).match(/^ *[-+]/)){delete this.scriptlevel;var LEVEL=this.Get("scriptlevel");this.scriptlevel=level;level=LEVEL+parseInt(level);}return level;},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:MML.mbase.setChildTeXclass});MML.merror=MML.mbase.Subclass({type:"merror",inferRow:true ,linebreakContainer:true,texClass:MML.TEXCLASS.ORD});MML.mpadded=MML.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:MML.mbase.childrenSpacelike,isEmbellished:MML.mbase.childEmbellished,Core:MML.mbase.childCore,CoreMO:MML.mbase.childCoreMO,defaults:{mathbackground:MML.INHERIT,mathcolor:MML.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:MML.mbase.setChildTeXclass});MML.mphantom=MML.mbase.Subclass({type:"mphantom",texClass:MML.TEXCLASS.ORD,inferRow:true,isSpacelike:MML.mbase.childrenSpacelike,isEmbellished:MML.mbase.childEmbellished,Core:MML.mbase.childCore,CoreMO:MML.mbase.childCoreMO,setTeXclass:MML.mbase.setChildTeXclass});MML.mfenced=MML.mbase.Subclass({type:"mfenced",defaults:{mathbackground:MML.INHERIT,mathcolor:MML.INHERIT,open:'(',close:')',separators:','},texClass:MML.TEXCLASS.OPEN,setTeXclass:function(prev){this.getPrevClass(prev);var values=this.getValues("open","close","separators");values.open=values.open.replace(/[ \t\n\r]/g,"");values.close= values.close.replace(/[ \t\n\r]/g,"");values.separators=values.separators.replace(/[ \t\n\r]/g,"");if(values.open!==""){this.SetData("open",MML.mo(values.open).With({stretchy:true,texClass:MML.TEXCLASS.OPEN}));prev=this.data.open.setTeXclass(prev);}if(values.separators!==""){while(values.separators.length0){return false}return this.Get("displaystyle");},adjustChild_scriptlevel:function(n){var level=this.Get("scriptlevel");if(n>0){level++}return level;},adjustChild_texprimestyle:function(n){if(n===this.sub){return true}return this.Get("texprimestyle");},setTeXclass:MML.mbase.setBaseTeXclasses});MML.msub=MML.msubsup.Subclass({type:"msub"});MML.msup=MML.msubsup.Subclass({type:"msup",sub:2,sup:1});MML.mmultiscripts=MML .msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(n){if(n%2===1){return true}return this.Get("texprimestyle");}});MML.mprescripts=MML.mbase.Subclass({type:"mprescripts"});MML.none=MML.mbase.Subclass({type:"none"});MML.munderover=MML.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:MML.mbase.childEmbellished,Core:MML.mbase.childCore,CoreMO:MML.mbase.childCoreMO,defaults:{mathbackground:MML.INHERIT,mathcolor:MML.INHERIT,accent:MML.AUTO,accentunder:MML.AUTO,align:MML.ALIGN.CENTER,texClass:MML.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(name){if(name==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(name):MML.TEXCLASS.ORD)}if(name==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(name==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false;}, adjustChild_displaystyle:function(n){if(n>0){return false}return this.Get("displaystyle");},adjustChild_scriptlevel:function(n){var level=this.Get("scriptlevel");var force=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(n==this.under&&(force||!this.Get("accentunder"))){level++}if(n==this.over&&(force||!this.Get("accent"))){level++}return level;},adjustChild_texprimestyle:function(n){if(n===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle");},setTeXclass:MML.mbase.setBaseTeXclasses});MML.munder=MML.munderover.Subclass({type:"munder"});MML.mover=MML.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});MML.mtable=MML.mbase.Subclass({type:"mtable",defaults:{mathbackground:MML.INHERIT,mathcolor:MML.INHERIT,align:MML.ALIGN.AXIS,rowalign:MML.ALIGN.BASELINE,columnalign:MML.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:MML.WIDTH.AUTO,width:MML. WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:MML.LINES.NONE,columnlines:MML.LINES.NONE,frame:MML.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:MML.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:MML.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var i=0,m=arguments.length;i>10)+0xD800)+String.fromCharCode((n&0x3FF)+0xDC00);}});MML.xml=MML.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments);},Append:function(){for(var i=0,m=arguments.length;i':MO.REL,'?':[1,1,TEXCLASS.CLOSE],'\\':MO.ORD,'^':MO.ORD11,'_':MO.ORD11,'|':[2,2,TEXCLASS.ORD,{fence:true,stretchy:true,symmetric:true}],'#':MO.ORD,'$':MO.ORD,'\u002E':[0,3,TEXCLASS.PUNCT,{separator:true}],'\u02B9':MO.ORD,'\u0300':MO.ACCENT,'\u0301':MO.ACCENT,'\u0303':MO.WIDEACCENT,'\u0304':MO.ACCENT,'\u0306':MO.ACCENT,'\u0307':MO.ACCENT,'\u0308':MO.ACCENT,'\u030C':MO.ACCENT,'\u0332':MO.WIDEACCENT,'\u0338':MO.REL4,'\u2015':[0,0,TEXCLASS.ORD,{stretchy:true}],'\u2017':[0,0,TEXCLASS.ORD,{stretchy:true}],'\u2020':MO.BIN3,'\u2021':MO.BIN3,'\u20D7':MO.ACCENT,'\u2111':MO.ORD,'\u2113':MO.ORD,'\u2118':MO.ORD,'\u211C':MO.ORD,'\u2205':MO.ORD,'\u221E':MO.ORD,'\u2305':MO.BIN3,'\u2306':MO.BIN3,'\u2322':MO.REL4,'\u2323':MO.REL4,'\u2329':MO.OPEN,'\u232A':MO.CLOSE,'\u23AA':MO.ORD,'\u23AF':[0,0,TEXCLASS.ORD,{stretchy:true}],'\u23B0':MO.OPEN,'\u23B1':MO.CLOSE,'\u2500':MO.ORD,'\u25EF':MO.BIN3,'\u2660':MO.ORD,'\u2661':MO.ORD, '\u2662':MO.ORD,'\u2663':MO.ORD,'\u3008':MO.OPEN,'\u3009':MO.CLOSE,'\uFE37':MO.WIDEACCENT,'\uFE38':MO.WIDEACCENT}}},{OPTYPES:MO});MML.mo.prototype.OPTABLE.infix["^"]=MO.WIDEREL;MML.mo.prototype.OPTABLE.infix["_"]=MO.WIDEREL;})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");},{},{}); /* cache key: cybsr1_mediawiki_d:resourceloader:filter:minify-js:7:82b0b8fe558aa9582620bfeb7c6b8441 */