/***************************************************************************** * * jsMath: Mathematics on the Web * * This jsMath package makes it possible to display mathematics in HTML pages * that are viewable by a wide range of browsers on both the Mac and the IBM PC, * including browsers that don't process MathML. See * * http://www.math.union.edu/locate/jsMath * * for the latest version, and for documentation on how to use jsMath. * * Copyright 2004-2006 by Davide P. Cervone * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. * You may obtain a copy of the License at * * http://www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. * *****************************************************************************/ if (!window.jsMath) {jsMath = {}} if (!jsMath.Script) {jsMath.Script = {}} jsMath.Script.Uncompress = function (data) { for (var k = 0; k < data.length; k++) { var d = data[k]; var n = d.length; for (var i = 0; i < n; i++) {if (typeof(d[i]) == 'number') {d[i] = d[d[i]]}} data[k] = d.join(''); } eval(data.join('')); } //start = new Date().getTime(); jsMath.Script.Uncompress([ ['if(!','window.','jsMath','||!',1,'jsMath.','loaded','){if(',1,'parent','&&',1,9,'.',2,'){',2,'=',1,9,'.',2,';}var ','jsMath_old','=',1,2,';',0,'document.','getElementById','||!',29,'childNodes||!',29,'createElement','){','alert("','The',' mathematics ','on this page requires W3C DOM support in its JavaScript. "+"Unfortunately, your ','browser',' doesn\'t seem to have this.");}','else{',2,'={version:"3.2",document:document,window:window,','sizes',':[50,60,70,85,100,120,144,173,207,249],styles:{".math','":"font-family: serif; font-style: normal; font-weight: normal','",".typeset',48,'","div.typeset','":"text-align: ','center; margin: 1em 0px;","span.typeset',52,'left',49,' span',52,'left','; border:0px','; margin:0px; padding:0px','",".typeset .','normal',48,62,'size0','":"font-size: ','50','%",".typeset .','size1',67,'60',69,'size2',67,'70',69,'size3',67,'85',69,'size4',67,'100',69,'size5',67,'120',69,'size6',67,'144',69,'size7',67,'173',69,'size8',67,'207',69,'size9',67,'249',69,'cmr10','":"font-family: jsMath-',106,', serif',62,'cmbx10',107,111,', ',2,'-cmr10',62,'cmti10',107,118,', ',2,116,62,'cmmi10',107,125,62,'cmsy10',107,129,62,'cmex10',107,133,62,'textit','":"font-family: serif; font-','style:italic',62,'textbf',138,'weight:bold',62,'link":"','text-decoration',': none',62,'error',67,'10pt; font-style: italic; "+"','background-color',': #FFFFCC','; padding: ','1px; "+"','border: ','1px solid',' #CC0000',62,'blank":"','display:inline-block','; ','overflow:hidden',60,' none; width:0px; height:0px;",".typeset .','spacer','":"',161,'","#jsMath_message','":"position:fixed; bottom:','1px; left:2px; ',152,':#E6E6E6','; "+"border: solid 1px #959595; margin:0px; padding: ','1px 8px','; "+"z-index:102; color',': black','; font-size:small; width:auto;","#','jsMath_panel',170,'1.5em; right:1.5em',154,'10px 20px','; "+"',152,':#DDDDDD; border: outset ','2px; "+"z-index:103; width:auto;","#','jsMath_button',170,'1px; right:2px; ',152,':white',174,'0px 3px 1px 3px',176,':black; ',146,':none','; font-size',':x-small; "+"','width:auto; cursor:pointer; cursor:hand',';","#jsMath_float','":"','position:absolute','; top:0px; left:0px; max-width:80%; "+"z-index:101; ','width:auto; height:auto',202,' .drag":"',152,186,'1px; height:12px',199,': 1px',202,' .close":"',152,173,'; border: ','inset 1px; width:8px; height:8px; margin: 1px 2px',202,' .source":"',152,':#E2E2E2',218,'outset ',155,206,154,'8px 15px; "+"','font-family',': courier, fixed',199,': 90%","#','jsMath_noFont',52,'center',154,183,218,'3px solid #DD0000; "+"',152,': #FFF8F8; color: #AA0000',178,234,' .link":"padding: 0px 5px 2px 5px',218,'2px outset; ',152,':#E8E8E8; "+"color:black',199,':80%; ',201,';","@media print":"#',188,' {','display:none','}"},Element',':function(','_1){return ',5,29,30,'("jsMath_"+_1);},','BBoxFor',258,'s','){this.','hidden.innerHTML','=""+s+"";var _3={w:this.','hidden','.offsetWidth',',h:this.',270,'.offsetHeight','};this.',268,'="";return _3;},EmBoxFor',258,'s){var _5','=this.BBoxFor','(s);return {w:_5.w/this.em,h:_5','.h/this.em};},','EmBoxForItalics',258,'s){var _7',280,'(s);if(s.match(/|class=\\"(icm|italic|igreek|iaccent)/i)){_7.w',280,'(s+',5,'Browser.','italicString',').w-',5,291,'italicCorrection',';}return {w:_7.w/this.em,h:_7',282,'Init',':function(){','if(',5,'Setup.inited','!=1',7,5,303,'){',37,'It looks like ',2,' failed to set up properly (error code "+',5,303,'+"). "+"I\'ll will try to keep going, but it could get ugly.");',5,303,'=1;}',43,37,'You must call ',5,'Setup.','Body() explicitly when ',2,' is"+"',6,' as part of the section");}',5,323,'Body();}this.em',280,'("").','w/10;if(this.em==0',267,'em',280,'("").w/10;}if(',5,291,292,'){',5,291,296,'=',5,264,'(',5,291,292,').w;}var bb',280,'("x");var h=bb.h;var d',280,'("x"+',5,'HTML.Rule(1,','h/',5,'em)).h-h;this.h=(h-d)/this.em;this.d=d/this.em;this.hd=this.h+this.d;this.xWidth=bb.w;this.',323,'TeXfonts','();var _b=this.','EmBoxFor("M").w/2;this.TeX.M_height=_b*(26/14);this.TeX.h=this.h;this.TeX.d=this.d;this.TeX.hd=this.hd;this.Img.Scale();',0,'this.initialized',267,323,'Sizes','();this.','Img.UpdateFonts();}this.p_height=(this.','TeX.cmex10[','0].h+this.',386,'0].d)/0.85;',380,'=1;},ReInit',300,'var w',280,'("x").w;if(w!=this.xWidth',267,'Init();}},Loaded',300,'if(',23,'){var _d=["Process","ProcessBeforeShowing","ConvertTeX","ConvertTeX2","ConvertLaTeX","ConvertCustom","CustomSearch","Synchronize","Macro","document"];','for(var i=0;i<','_d','.length;','i++){if(',23,'[_d[i]]){',23,'[_d[i]]=null;}}}if(',23,267,'Insert(',2,',',23,');}',23,'=null;',5,6,'=1;},Add',258,'_f,src){','for(var id in ','src){_f[id]=src[id];}},Insert',258,'dst,src){',424,'src',7,'dst[id]&&typeof (src[id])=="object"&&(','typeof (dst[id])=="','object"||',432,'function")){this.',412,'dst[id],src[id]);}',43,'dst[id]=src[id];}}},Package',258,'obj,def',267,412,'obj.prototype,def);}};',5,'Script={request:null,Init',300,'if(!(',5,'Controls.cookie','.asynch&&',5,450,'.progress',')){if(',1,'XMLHttpRequest','){','this.request','=new ',457,';}',43,'if(',1,'ActiveXObject','){try{',459,'=new ',466,'("Microsoft.XMLHTTP");}catch(err){}}}}',0,459,'||',5,323,'domainChanged',267,'Load=this.delayedLoad;this.needsBody=1;}},Load',258,'url,_18',7,'_18){',5,'Message.Set("Loading "+url);',5,'Script.','Delay(1);',5,'Script.Push(','this,"xmlRequest",url',');',5,490,5,'Message',',"Clear");}',43,5,490,491,');}},','xmlRequest',258,'url){','this.debug("',503,': "+url);','try{',459,'.open("GET",url,false);',459,'.send(null);}catch(err','){throw "jsMath can\'t load the file \'"+url+"\'\\n"+"',496,': "+err.message;}if(',459,'.status','&&',459,518,'>=400',514,'Error status: "+',459,518,';}this.','Start();','this.blocking','=1;',5,1,'eval(',459,'.responseText);this.End();',529,'=0;this.Process','();},cancelTimeout:30*1000,iframe:null,blocking:0,cancelTimer:null,needsBody:0,queue:[],queueAt:0,Synchronize',258,'_1a,_1b){','if(typeof (','_1a)!="string"){',5,490,'null,_1a,_1b);}',43,5,490,5,'window,"eval",_1a);}},Push',258,'_1c,_1d,_1e){',506,'Pushing: "+_1d+" at "+','this.queueAt',');this.queue=[].concat(','this.queue.slice(','0,',555,'),[[_1c,_1d,_1e]],',557,555,'));',555,'++;if(!(',529,'||(this.needsBody&&!',5,29,'body))){this.Process();}},Process',300,'while(','this.queue.length','&&!',529,267,528,'var _1f=this.queue[0];this.queue=',557,'1);var _20=_1f[0];var _21=_1f[1];var _22=_1f[2];',506,'Calling: "+_21);if(_20){_20[_21](_22);}',43,'if(_21){_21(_22);}}',506,'Done: "+_21);}this.End();},Start',300,555,'=0;},End',300,555,'=',573,';},delayedLoad',258,'url){',506,'Loading',508,'this.Push(this,"startLoad",url);},startLoad',258,'url){','this.iframe','=',5,29,35,'("iframe");','this.iframe.style.','visibility="',270,'";',609,'position="absolute";',609,'width="0px";',609,'height="0px";if(',5,29,'body.firstChild','){',5,29,'body.insertBefore(',603,',',5,29,621,');}',43,5,29,'body','.appendChild(',603,');}',529,'=1;this.','url=url;',0,'url.match(/\\.js$/)){',603,'.src=url;}',43,603,'.src=',5,'root+"',2,'-loader.html";}if(url.substr(0,',5,'root.length',')==',5,'root){url=url.substr(',5,654,');}',5,485,506,'Starting',508,'this.cancelTimer','=setTimeout("',5,487,'cancelLoad','()",this.cancelTimeout);},endLoad',258,'_25){',506,'Ending: "+this.url);if(',666,'){clearTimeout(',666,');',666,'=null;}',5,496,'.Clear();if(_25!="cancel"){',529,537,'();}},',670,300,666,'=null;',5,496,'.Set("Can\'t load file");this.endLoad("cancel");},Delay',258,'_26){',529,'=1;setTimeout("',5,487,'endDelay','()",_26);},',701,300,506,701,'");',529,537,'();},','WaitForImage',258,'_27){',529,'=1;if(this.img==null',267,'img=[];}var img=new Image',384,'img[this.img.length]=img;img.onload=function(){',5,487,701,'();};img.onerror','=img.onload;img.','onabort',724,'src=_27;},Uncompress',258,'_29){','for(var k=0;k<','_29',404,'k++){var d=_29[k];var n=d',404,402,'n;',405,'typeof (d[i])=="number"){d[i]=d[d[i]];}}_29[k]=d.join("");}',1,'eval(_29.join(""));},debug',258,'_2e){}};',5,496,'={blank:null,message:null,text:null,clear:null,Init',300,0,5,29,'body||!',5,450,454,'){return;}','if(',5,323,'stylesReady){','this.message','=',5,'Setup.DIV("message",{visibility:"hidden','"});}',43,759,'=',5,762,'",position:"absolute",','bottom:"1px",left:"2px",','backgroundColor',':"#E6E6E6",border:"solid 1px #959595",margin:"0px",padding:"1px 8px",zIndex:102,color:"black",fontSize:"small",width:"auto"});}','this.text','=',5,29,'createTextNode','("");',759,636,773,');',759,'.onmousedown=',5,'Translate.Cancel;},Set',258,'_2f,_30){','if(this.clear){clearTimeout(this.clear',');','this.clear',681,'if(',5,450,454,'){',0,773,267,'Init();',0,773,'){return;}}if(',5,291,'textNodeBug','){',759,'.innerHTML','=_2f;}',43,773,'.nodeValue',811,759,'.style.visibility="','visible";if(_30){',759,'.style.cursor','="pointer";',0,759,820,'){',759,820,'="hand";}',759,'.title=" Cancel Processing of Math ";}',43,759,820,';',759,'.title="";}}',43,'if(_2f.substr(0,8)!="Loading "){',5,1,'status=_2f;}}},Clear',300,789,');}',791,'=setTimeout("',5,496,'.doClear()",1000);},doClear',300,'if(',791,267,'clear=null;',5,1,'status="";if(',773,'){',773,814,'="";}if(',759,'){',759,817,270,'";}}},Blank',300,'if(','this.blank','||!',5,29,'body',754,871,'=',5,323,'DIV("blank",{position:(',5,291,'msiePositionFixedBug','?"absolute":"fixed"),top:"0px",left:"0px",bottom:"0px",right:"0px",zIndex:101,',771,':"white"});if(',5,291,'msieBlankBug','){',871,810,'=" ";',871,'.style.width="110%";',871,'.style.height="110%";}},UnBlank',300,'if(',871,'){',5,29,'body.removeChild(',871,');}',871,'=null;}};',5,'Setup={',6,':[],DIV',258,'id,_32){var div=',5,29,35,'("div");div.id="jsMath_"+id;','for(var i in ','_32){div.style[i]=_32[i];}',0,5,29,'body.hasChildNodes){',5,29,'body',636,'div);}',43,5,29,625,'div,',5,29,621,');}return div;},Script',258,'_35,_36',7,'this.loaded[_35',']){','return;}',43,943,']=1;}',0,'_35.match("^([a-zA-Z]+:/)?/")){_35=',5,'root+_35;}',5,487,'Load(_35,_36);},Hidden',300,5,270,'=this.DIV("Hidden",{visibility:"',270,769,'top:0,left:0,border:0,padding:0,margin:0});',5,'hiddenTop=',5,270,';return;},Source',300,'if(',5,'Autoload&&',5,'Autoload.root','){',5,'root=',5,973,';}',43,5,'root="";var _37=',5,29,'getElementsByTagName("','script");if(_37){',402,'_37',404,'i++){var ','src=_37[i].src;if(src&&src.match("(^|/)',5,'js$")){',5,'root=src.replace','(/',5,'js$/,"");if(',5,'root.charAt(0)=="/"){',5,976,5,29,'location','.protocol+"//"+',5,29,1005,'.host+',5,'root;}',43,0,5,'root.match','(/^[a-z]+:/i)){src','=new String(',5,29,1005,');',5,995,'(new RegExp("[^/]*$"),"")+',5,'root;',572,5,1016,'("/[^/]*/\\\\.\\\\./")){',5,976,5,'root.replace(new RegExp("/[^/]*/\\\\.\\\\./"),"/");}}}i=_37.length;}}}}',5,'Img.',976,5,650,'fonts/";',5,'blank=',5,650,'blank.gif";this.Domain();},Domain',300,'var _3a="";var _3b=',5,29,'domain;if(',5,1016,'("://([^/]*)/")){_3a=RegExp.$1;}_3a=_3a.replace(/:\\d+$/,"");if(_3a==""||_3a==_3b',754,'if(navigator.','appName=="Microsoft Internet Explorer"&&','navigator.','platform=="','MacPPC"&&',1058,'onLine&&',1058,'userProfile&&',5,29,'all',754,'_3a=_3a.split(/\\./);_3b=_3b.split(/\\./);if(_3a.length<2||_3b.length<2||','_3a[_3a.length-','1',']!=_3b[_3b.length-','1]||',1070,'2',1072,'2]){this.','DomainWarning','();',945,'var _3c=',1070,'2]+"."+',1070,'1];for(var i=3;i<=_3a.length&&i<=_3b',404,405,1070,'i',1072,'i]){break;}_3c=',1070,'i]+"."+_3c;}',5,29,'domain=_3c;this.',477,'=1;},',1078,300,37,'In order for ',2,' to be able to load the additional "+"components that it may need, the ',5,'js file must be "+"',6,' from a server in the same domain as the page that "+"contains it. Because that is not the case for this page, "+"the',39,'displayed here may not appear correctly.");},','EncodeFont',258,'_3e){var _3f=',5,'TeX[_3e];if(_3f[0].c!=null',754,730,'128;k++){var _41=_3f[k];_3f[k]=_41[3];if(_3f[k]==null){_3f[k]={};}_3f[k].w=_41[0];_3f[k].h=_41[1];if(_41[2]!=null){_3f[k].d=_41[2];}_3f[k].c=',5,'TeX.encoding[k];}},Fonts',300,402,5,'TeX.fam.length;',990,'_43=',5,'TeX.fam[i','];if(_43',267,1111,'(_43);}}},TeXfont',258,'_44){var _45=',5,'TeX[_44];if(_45==null',754,'var WH=',5,375,'=\\""+_44+"\\">"+_45[65','].c+"");','_45.hd=WH.h;_45.dh=0.05;_45.d=',5,375,'=\\""+_44+"\\">"+_45[65].c+',5,368,'_45.hd)+"").h-_45.hd;_45.h=_45.hd-_45.d;','if(_44=="',125,'"){_45.skewchar=','127;}',43,1150,129,1152,'48;}}},',373,300,402,5,1124,405,5,1128,']){this.TeXfont(',5,1128,']);}}},Sizes',300,5,'TeXparams','=[];for(var j=0;j<',5,46,404,'j++){',5,1173,'[j]={};}',920,5,'TeX){',541,5,'TeX[i])!="object"){for(var j=0;j<',5,46,404,'j++){',5,1173,'[j][i]=',5,46,'[j]*',5,'TeX[i]/100;}}}},Styles',258,'_4b){',0,'_4b){_4b=',5,'styles;_4b[".typeset .scale"]="font-size:"+',5,450,'.scale+"%";this.stylesReady=1;}',5,490,'this,"','AddStyleSheet','",_4b);if(',5,291,'styleChangeDelay','){',5,490,5,'Script,"','Delay",1);}},',1212,258,'_4c){var _4d=',5,29,985,'head")[0];var _4e="";',424,'_4c){_4e+=id+" {"+_4c[id]+"}\\n";}if(',5,29,'createStyleSheet){_4d.insertAdjacentHTML("beforeEnd","<','span style=\\"',256,'\\">x");}',43,'var _50=',5,29,35,'("style");_50.type="text/css";_50',636,5,29,777,'(_4e));_4d',636,'_50);}},Body',300,'if(this.inited',754,'this.inited=-','1;',5,323,'Hidden();',1255,'2;',5,291,801,1255,'3;if(',5,450,'.blank){',5,496,'.Blank();}',1255,'4;',5,323,'Styles();',1255,'5;',5,'Controls.',801,1255,'6;',5,490,5,'Setup,"User","pre-font");',1255,'7;',5,490,5,'Font,"Check");this.inited=1;},User',258,'_51){}};',5,'Update={',373,258,'_52){for(var ','_53 in ',1301,'_54 in _52[_53]){',424,'_52[_53][_54',']){',5,'TeX[_53][_54][id]=',1306,'][id];}}}},TeXfontCodes',258,'_56){for(var _57 in _56){',402,'_56[_57].length;i++){',5,'TeX[_57][i].c=_56[_57][i];}}}};',5,'Browser={allowAbsolute:1,allowAbsoluteDelim:0,separateSkips:0,valignBug:0,operaHiddenFix:"",','msieCenterBugFix',':"",','msieInlineBlockFix',':"",imgScale:1,renameOK:1,',1216,':0,delay:1,version:0,','TestSpanHeight',300,5,268,'="<','span style=\\""+this.block+";','height:2em;width:','1px\\">";var ','_59=',5,'hidden.firstChild;','var img=_59.firstChild;','this.spanHeightVaries','=(_59',274,'>=img',274,'&&_59',274,'>0);','this.spanHeightTooBig','=(_59',274,'>img',274,');',5,268,'="";},','TestInlineBlock',300,'this.block','="',161,'";','this.hasInlineBlock','=',5,'BBoxFor("").w>0;if(!this.hasInlineBlock){',1358,'="display:-moz-inline-box";',1362,'=',5,1365,1366,945,5,'styles[".typeset .','blank"]=',5,1376,'blank','"].replace(/',161,'/,',1358,');}',1358,'+=";',163,'";var h=',5,264,'("x").h;this.mozInlineBlockBug=',5,1365,'height:"+h+"px;width:1px','\\">x','"+"<',1331,1395,';vertical-align:-"+h+"px',338,'h>2*h;this.widthAddsBorder=',5,1365,163,';height:1px;width:10px',';border-left:','10px solid',338,'w>10;','this.msieBorderBug','=',5,1365,1395,1396,'").h!=',5,1365,1395,1407,157,1396,'").h;this.blankWidthBug=',1411,'||',5,1365,1332,'0px',338,'h==0;},','TestRenameOK',300,5,268,'="<',1334,'_5c=',5,1337,'_5c.setAttribute("name","','jsMath_test','");this.renameOK=(',5,29,'getElementsByName("',1443,'").length>0);',5,268,1355,'TestStyleChange',300,5,268,'="";var _5d=',5,1337,'var w=_5d',271,';',5,323,1212,'({"#',1443,'":"font-size:200%"});this.',1216,'=(_5d',271,'==w);',5,268,1355,'VersionAtLeast',258,'v){var bv',1018,'this.version).split(".");v',1018,'v).split(".");if(v[1]==null){v[1]="0";}return bv[0]>v[0]||(bv[0]==v[0]&&bv[1]>=v[1]);},Init',300,5,41,'="unknown";this.',1356,384,1326,384,1433,384,1453,384,'MSIE',384,'Mozilla',384,'Opera',384,'OmniWeb',384,'Safari',384,'Konqueror','();if(','this.allowAbsoluteDelim','){',5,'Box.DelimExtend=',5,'Box.DelimExtendAbsolute;',5,'Box.Layout=',5,'Box.LayoutAbsolute;}',43,5,'Box.DelimExtend=',5,'Box.DelimExtendRelative;',5,'Box.Layout=',5,'Box.LayoutRelative;}if(','this.separateSkips','){',5,'HTML.Place=',5,'HTML.','PlaceSeparateSkips',';',5,'Typeset.prototype.','Place=',5,1538,1535,';}},MSIE',300,'if(',1339,'&&!',1347,'){',5,41,'="MSIE";',1056,1059,'Win32"){',1510,'=1;',1529,'=1',';this.buttonCheck=1;this.',890,'=1;this.msieDivWidthBug=1;this.',884,640,'msieIntegralBug',640,'waitForImages',640,'msieAlphaBug=1;','this.alphaPrintBug=1',';this.',1320,'="position:relative; ";this.',1322,'=" ',161,';";',5,'Macro("joinrel","\\\\mathrel{\\\\kern-5mu}"),',5,1376,'arial"]="',230,': \'Arial unicode MS\'";',5,'styles["#jsMath_message','"]=',5,1586,1381,'position:fixed','/,"',204,'").','replace(/width:auto','/,"");',5,'styles["#jsMath_panel','"]=',5,1598,1381,1591,'/,"',204,'").',1595,1596,5,'styles["#jsMath_button','"]="width:','1px; "+',5,1610,1381,1591,'/,"',204,'").',1595,1596,5,1,'onscroll=',5,1281,'MoveButton;',5,1376,166,'"]=',5,1376,166,1381,161,1596,'if(','screen.deviceXDPI','&&','screen.logicalXDPI','&&',1639,'!=',1641,267,'imgScale*=',1641,'/',1639,';',5,450,'.alpha=0',527,292,'="x";',5,'EmBoxFor=',5,283,';}',43,1056,1059,'MacPPC"){this.msieAbsoluteBug',640,'msieButtonBug',1562,890,'=1;',5,'Setup.Script("jsMath-','msie-mac.js");',5,'Parser.prototype.macros.angle=["Replace","ord","","normal"];',5,1598,1611,'25em; "+',5,1598,'"].',1595,1596,5,1610,1611,1612,5,1610,'"].',1595,'/,"");}}',5,'Macro("not","\\\\mathrel{\\\\rlap{\\\\kern3mu','/}}");}},Mozilla',300,'if(',5,270,'.ATTRIBUTE_NODE){',5,41,'="Mozilla";',1056,1059,'Win32"){',1570,';}',1510,'=1;',5,1696,'/}}");',1056,'vendor=="Firefox"){',5,291,'version=',1058,'vendorSub;}',43,1056,'userAgent.match','(" Firefox/([0-9.]+)( |$)")){',5,291,1720,'RegExp.$1;}}}},',1504,300,1056,'accentColorName){',5,41,'="',1504,'";','this.allowAbsolute','=',1362,';',1510,'=',1740,';this.valignBug=',1740,1560,807,'=1;',0,1362,'){',5,1673,'old-browsers.js','");}}},Opera',300,'if(',1347,'){',5,41,'="Opera";var _61=',1058,1725,'("Opera 7");',1740,'=0;this.delay=10;this.operaHiddenFix="[Processing]";if(_61){',5,1673,1757,'");}}},Safari',300,1056,'appVersion.match(/Safari\\//)){',5,41,'="Safari";var _62=',1058,1725,'("Safari/([0-9]+)");_62=(_62)?_62[1]:400;',402,5,1124,405,5,1128,']){',5,'TeX[',5,1128,']].dh=0.1;}}',5,'TeX.axis_height+=0.05;',1510,'=_62>=125;this.safariIFRAMEbug=_62>=312&&_62<412;this.safariImgBug',640,807,'=1',1560,1216,'=1;}},',1508,300,1056,'product&&',1058,'product.match("',1508,'")){',5,41,'="',1508,'";',1740,'=0;',1510,'=0;',1056,1725,'(/',1508,'\\/(\\d+)\\.(\\d+)/)){if(RegExp.$1<3||(RegExp.$1==3&&RegExp.$2<3)){',1529,'=1',1747,'1;',5,1673,1757,'");}}}}};',5,'Font={fallback:"symbol",message:"No ',2,' TeX fonts found -- using',' image fonts instead','.
\\n"+"These',' may be slow and might not print well.
\\n"+"Use the jsMath control panel to get additional information.",','extra_message:"Extra TeX fonts not found:
"+"Using',1840,'. This',1842,'Test1',258,'_64,n,_66,_67','){if(n==null){n=124;}if(','_66==null){_66=2;}if(_67==null){_67="";}var wh1=',5,'BBoxFor(""+',5,'TeX[_64][n',1142,'var wh2=',5,1853,': serif\\">"+',5,'TeX[_64][n',1142,'return (wh1.w>_66*wh2','.w&&wh1.h!=0);},','Test2',258,'_6a,n,_6c,_6d',1850,'_6c==null){_6c=2;}if(_6d==null){_6d="";}var wh1=',5,1853,': "+_6d+_6a+", serif\\">"+',5,'TeX[_6a][n',1142,'var wh2=',5,1853,': serif\\">"+',5,'TeX[_6a][n',1142,'return (wh2.w>_6c*wh1',1866,'CheckTeX',300,'var wh=',5,1853,': ',2,'-',133,109,'\\">"+',5,386,'1',1142,5,'nofonts=((wh.w*3>wh.h||wh.h==0)&&!this.Test1("cmr10','",null,null,"',2,'-"));if(',5,'nofonts&&(',1058,'platform!="MacPPC"||',5,41,'!="Mozilla"||!',5,291,1479,'(1.5))){wh=',5,1853,': ',133,109,'\\">"+',5,386,'1',1142,5,1903,'"));',0,5,'nofonts){',5,1673,'BaKoMa-fonts.js");}}},Check',300,'var _71=',5,450,';this.CheckTeX();if(',5,1933,'if(_71.autofont','||_71.font=="tex"){_71.font=this.fallback;if(_71.warn){',5,'nofontMessage=1;_71.warn=0;',5,1281,'SetCookie(0);if(',5,1,'NoFontMessage','){',5,1,1953,'();}',43,'this.',496,'(',759,');}}}}',43,1944,'){_71.font="','tex";}','if(_71.font=="','tex"){return;}}if(',5,'noImgFonts',1967,'unicode";}',1969,'unicode"){var _72=({Win32:"pc",MacPPC:"mac"})[',1058,'platform]||"unix";',5,1673,'fallback-"+_72+".js");',5,'Box.TeXnonfallback=',5,'Box.TeX',';',5,1985,'=',5,'Box.TeXfallback;return;}','if(',5,291,1567,'){',5,490,5,1221,711,'",',5,'blank);}',1969,'symbol"){',5,1673,'fallback-symbols.js");',5,'Box.TeXnonfallback=',5,1985,';',5,1985,'=',5,1991,5,'Img.SetFont({',106,':["all"],',125,2023,129,2023,133,2023,111,2023,118,':["all"]});',5,'Img.LoadFont("cm-fonts");},',496,258,'_73',7,5,'Element("Warning','")){',945,'var div=',5,323,'DIV("Warning",{});div',810,'="
"+"
"+_73+"<','div style=\\"','text-align:left\\"><',1235,'float:left; ','margin: 8px ','0px 0px 20px\\">"+"',2,2062,'"+"<',1235,2056,'20px 0px 0px; float:right\\">"+"
<',2052,'height:6px\\">
"+"<',2052,'width:22em; height:1px\\">"+"

";},HideMessage',300,'var _75=',5,2041,'");if(_75){_75.style.display="none";}},Register',258,'_76){',5,487,528,541,'_76)=="string"){_76={name:_76};}var _77=_76.name;var _78=_77.replace(/10$/,"");var _79=',5,1124,'if(_76.prefix==null){_76.prefix="";}',0,'_76.style){_76.style="',230,': "+_76.prefix+_77+", serif";}',0,'_76.styl'], ['es){','_76.styles','={};}','if(!','_76.macros','){',4,2,'jsMath.','TeX.fam[_79]=_77;',8,'TeX.famName[_77]=_79;',4,'[_78]=["HandleFont",_79];',8,'Add(',8,'Parser.prototype.macros,',4,');',1,'[".typeset ."+_77]=_76.style;',8,'Setup.','Styles(',1,');','jsMath.Script.Push(jsMath.','Setup,"TeXfont",_77);var _7a=!',8,'nofonts&&_76.test(_77,_76.testChar,_76.testFactor,_76.prefix);if(_7a&&','jsMath.Controls','.cookie.font=="','tex"){if(_76.tex){_76.tex','(_77,_79,_76);}jsMath.Script.End();return;}',3,'_7a&&',31,'.cookie.warn&&',31,32,'tex"&&!',8,'nofonts){',3,8,'Element("','Warning")){this.Message(this.extra_message);}var _7b=',8,46,'ExtraFonts");if(_7b){if(','_7b.innerHTML','!=""){',51,'+=",";}',51,'+=" "+_76.prefix+_77;}}if(',31,32,'unicode"){if(','_76.fallback','){',60,34,'var _7c={};_7c[_77]=["all"];',8,'Img.SetFont(_7c);',8,'Img.LoadFont(_77);',27,'Img,"Scale");',27,'Img,"UpdateFonts");',8,'Script','.End();},Load',':function(','_7d){',8,23,74,'(this.URL(_7d));},URL',76,'_7e){return ',8,'Img.root+_7e+"/def.js";}};',31,'={cookie:{scale:100,font:"tex",autofont:1,scaleImg:0,alpha:1,warn:1,button:1,progress:1,asynch:0,blank:0,print:0,keep:"0D"},cookiePath:"/",Init',':function(){','this.panel=',8,23,'DIV("panel",{display:"none"});',3,8,'Browser.msieButtonBug){this.Button();}else{setTimeout("',31,'.Button()",500);}},Panel',88,8,'Translate.Cancel();if(this.loaded){this.Main();}else{',8,74,'.delayedLoad(',8,'root+"jsMath-controls.html");}},Button',88,'var _7f=',8,23,'DIV("button",{});_7f.title=" Open jsMath Control Panel ";_7f.innerHTML="jsMath";if(_7f.offsetWidth<2*',8,'em){_7f.style.width="auto";}_7f.onclick=new Function("',31,'.Panel()");',3,'this.cookie','.button){_7f.style.display="none";}},MoveButton',88,3,'this.button','){',120,'=',8,46,'button");}','this.button.style.visibility="','hidden";',127,'visible";},GetCookie',88,'var _80=',8,'document.cookie',';if(','jsMath.window.location.','protocol=="file:"){','_80=unescape(',136,'search.substr(1));}if(_80','.match(/jsMath','=([^;]*)/)){var _81=RegExp.$1.split(/,/);for(var i=0;i<_81.length;i++){var x=_81[i].match(/(.*):(.*)/);if(x[2].match(/^\\d+$/)){x[2]=1*x[2];}',116,'[x[1]]=x[2];}}},SetCookie',76,'_84){var _85=[];','for(var id in ',116,'){_85[_85.length]=id+":"+',116,'[id];}_85=_85.join(",");if(',136,137,3,'_84){return;}this.loaded=0;var _87=',136,'href;_87=_87.replace(/\\?.*/,"")+"?jsMath="+escape(_85);if(_87!=',136,'href){',136,'replace(_87);}}else{if(','this.cookiePath','){_85+="; ','path="+',162,';}if(','this.cookieDomain',163,'domain="+',167,166,116,'.keep!="0D"){var ms={D',':1000*60*60*24',',W',174,'*7,M',174,'*30,Y',174,'*365};var exp=new Date;exp.setTime(exp.getTime()+',116,'.keep.substr(','0,1)*ms[',116,183,'1,1)]);_85+="; expires="+exp.toGMTString();}',8,134,'="jsMath="+_85;var _8a=',8,134,';if(_84&&!_8a',141,'=/)){alert("Cookies must be enabled in order to save jsMath options");}}}};',8,'Click={CheckClick',76,'_8b){',3,'_8b){_8b=',8,'window.event',166,'_8b.altKey){',31,'.Panel();}},CheckDblClick',76,'_8c){',3,'_8c){_8c=',8,'window.event;}',3,8,'Click.DblClick){',8,'Extension.Require("double-click",1);var _8d=_8c;_8c={};',147,'_8d){_8c[id]=_8d[id];}}',27,'Click,"DblClick",[_8c,this.alt]);}};',8,'TeX={thinmuskip:3/18,medmuskip:4/18,thickmuskip:5/18,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,default_rule_thickness:0.04,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,integer:6553.6,scriptspace:0.05,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.5,scale:1,atom:["ord","op","bin","rel","open","close","punct","ord"],fam:["cmr10","cmmi10","cmsy10","cmex10","cmti10","","cmbx10",""],famName:{cmr10:0,cmmi10:1,cmsy10:2,cmex10:3,cmti10:4,cmbx10:6},encoding:["À","Á","Â","Ã","Ä","Å","Æ","Ç","È","É","Ê","Ë","Ì","Í","Î","Ï","°","Ñ","Ò","Ó","Ô","Õ","Ö","·","Ø","Ù","Ú","Û","Ü","µ","¶","ß","ï","!",""","#","$","%","&","'","(",")","*","+",",","-",".","/","0","1","2","3","4","5","6","7","8","9",":",";","<","=",">","?","@","A","B","C","D","E","F","G","H","I","J","K","L","M","N","O","P","Q","R","S","T","U","V","W","X","Y","Z","[","\","]","^","_","`","a","b","c","d","e","f","g","h","i","j","k","l","m","n","o","p","q","r","s","t","u","v","w","x","y","z","{","|","}","~","ÿ"],cmr10:[[0.625',',0.683],[0.','833',225,'778',225,'694',225,'667',225,'75',225,'722',225,'778',225,'722',225,'778',225,'722',225,'583',',0.694,0,{ic:0.','0778,krn:{"39":0.0778,"63":0.0778,"33":0.0778,"41":0.0778,"93":0.0778},lig:{"105":','14,"108":15}}],[0.','556',',0.694],[0.','556',251,'833',251,'833',251,'278',',0.431],[0.','306',',0.431,0.194','],[0.5',251,'5',251,'5,0.628],[0.5',251,'5,0.568],[0.75',251,'444,0,0.17],[0.5',251,'722',259,'778',259,'5,0.528,0.0972],[0.903,0.683],[1.01',225,'778,0.732,0.0486],[0.278',',0.431,0,{krn:{"','108":-0.278,"76":-0.319}}],[0.278',',0.694,0,{lig:{"96":','60}}],[0.','5',251,'833',',0.694,0.194],[','0.5',',0.75,0.0556],[0.','833',288,'778',251,'278',',0.694,0,{krn:{"','63":0.111,"33":0.111','},lig:{"39":34}}],[0.','389',',0.75,0.25],[0.','389',298,'5,0.75],[','0.778,0.583,0.0833],[','0.278,0.106',',0.194],[0.','333',',0.431,0,{','lig:{"45":','123}}],[',303,'],[0.5',298,'5',',0.644','],[0.5,0.644],[0.','5',313,314,'5',313,314,'5',313,314,'5',313,314,'278',259,'278',261,'],[0.278,0.5',304,'778',',0.367,-0.133],[','0.472,0.5',304,'472',281,'62}}],[0.778',251,'75',',0.683,0,{krn:{"','116','":-0.0278,"','67',344,'79',344,'71',344,'85',344,'81',344,'84":-0.0833,"89":-0.0833,"86":-0.111,"87":-0.111}}],[0.','708',225,'722',225,'764',342,'88',344,'87',344,'65',344,'86',344,'89":-','0.0278}}],[0.','681',225,'653',',0.683,0,{','krn:{"111":-0.0833,"101":-0.0833,"117":-0.0833,"114":-0.0833,"97":-0.0833,"65":-0.111,"79":-0.0278,"67":-0.0278,"71":-0.0278,"81":-0.0278}}],[','0.785',225,'75',225,'361',342,'73":',371,'514',225,'778',342,'79',344,'67',344,'71',344,'81":-',371,'625',342,355,'917',225,'75',225,'778',342,'88',344,'87',344,'65',344,'86',344,'89":-',371,'681',342,'65','":-0.0833,"','111',344,'101',344,'97',344,'46',419,'44":-0.','0833}}],[0.','778,0.683',304,'736',342,'116',344,'67',344,'79',344,'71',344,'85',344,'81',344,355,'556',225,'722',342,'121',344,'101',419,'111',419,'114',419,'97',419,'65',419,'117":-0.',429,'75',225,'75',',0.683,0,{ic:0.','0139,',376,'1.03',468,'0139,',376,'0.75',342,'79',344,'67',344,'71',344,'81":-',371,'75',468,'025,','krn:{"101',419,'111',419,'114',419,'97',419,'65',419,463,429,'611',225,'278',298,'5',251,'278',298,'5',251,'278,0.668],[0.','278',281,'92}}],[0.','5',279,'118',344,'106":0.0556,"121',344,'119":-',371,'556',',0.694',',0',',{krn:{"101":0.0278,"111":0.0278,"120":-0.0278,"100":0.0278,"99":0.0278,"113":0.0278,"118":-0.0278,"106":0.0556,"121":-0.0278,"119":-0.0278}}],[0.','444',279,'104',344,'107":-',371,'556',251,'444',259,'306',247,248,'12,"102":11,"108":13}}],[0.','5,0.431',',0.194,{ic:0.','0139,krn:{"','106":',371,'556',294,'116',344,'117',344,'98',344,'121',344,'118',344,'119":-',371,510,'306,0.668',304,'528',294,'97','":-0.0556,"','101',344,'97',344,'111',344,'99":-',371,'278',251,'833',279,'116',344,'117',344,'98',344,'121',344,'118',344,'119":-',371,'556',279,'116',344,'117',344,'98',344,'121',344,'118',344,'119":-',371,540,',0',525,'556',261,525,'528',261,'],[0.392',259,'394',259,'389,0.615,0,{krn:{"121',344,'119":-',371,'556',279,'119":-',371,'528',',0.431,0,{ic:0.',542,'97',565,'101',344,'97',344,'111',344,'99":-',371,'722',625,542,'101',344,'97',344,'111',344,'99":-',371,'528',259,'528',',0.431',541,542,'111',344,'101',344,'97',344,'46',419,'44":-0.',429,'444',259,'5',625,'0278,',307,'124}}],[1',625,'0278}],[0.','5',251,'5,0.668],[0.5,0.668]],cmmi10:[[0.615',468,'139',',krn:{"61":-0.0556,"59":-0.111,"58":-0.111,"127":0.',429,'833',342,'127":0.167}}],[0.','763',468,668,'krn:{"127":0.0833}}],[0.','694',342,682,'742',468,'0757,',686,'831',468,'0812,krn:{"61',565,'59":-0.0556,"58":-0.0556,"127":0.','0556}}],[0.','78',468,'0576,',686,'583',468,'139',678,699,'667',375,686,'612',468,'11,krn:{"61',565,698,699,'772',468,'0502,',686,'64',625,'0037,','krn:{"127":',371,'566',523,541,'0528,',686,'518',651,541,'0556}],[0.444',247,'0378,krn:{"',698,699,'406',306,'krn:{"127":0.0556}}],[0.','438',523,541,'0738,',686,'497',651,541,'0359,',742,'469',247,668,686,'354',306,742,'576',259,'583',251,'603',261,',{',725,371,'494',625,'0637,krn:{"',698,'0278}}],[0.','438',523,541,'046,','krn:{"127":0.111}}],[0.','57',625,'0359}],[0.','517',261,',{',686,'571',625,'0359,krn:{"59',565,'58":-0.',699,'437',625,'113,krn:{"',698,773,'54',625,'0359,',725,371,'596',523,',0.194,{',686,'626',261,',{',742,'651',523,541,'0359,',778,'622',625,781,'466',306,686,'591',',0.694,0,{',686,'828',625,672,'517',261,',{',686,'363',651,',0.0972,{ic:0.','0799,',686,'654',261,',{',725,'0.0833}}],[1',334,'1',334,'1',334,'1',334,'0.278',',0.464,-0.0363],[','0.278',849,'0.5,0.465,-0.0347],[',852,'0.5',259,'5',259,'5',259,'5',261,'],[0.5',261,'],[0.5',261,314,'5',261,314,'5',261,'],[',303,'],[',303,304,'778',',0.539,0.0391],[','0.5,0.75,0.25,{krn:{"1',565,'65',565,'77',565,'78',565,'89":0.0556,"90":-0.',699,'778',878,852,'0.531',247,'0556,',686,'75',342,'127":','0.','139}}],[0.','759',468,'0502,',686,'715',468,'0715,krn:{"61',344,698,429,'828',468,668,742,'738',468,'0576,',686,'643',468,'139',678,429,'786',375,686,'831',468,'0812,krn:{"61',565,698,699,'44',468,'0785,',778,'555',468,'0962',678,'167}}],[0.','849',468,'0715,krn:{"61',565,698,699,'681',342,898,371,'97',468,'109,krn:{"','61',565,698,429,'803',468,954,'61',419,'61',344,698,429,'763',468,668,686,'642',468,'139',678,429,'791,0.683',804,686,'759',468,'00773,',686,'613',468,'0576,krn:{"61',565,698,429,'584',468,'139,krn:{"61',344,698,429,'683',468,954,'59":-0.111,"',790,'111,"61',565,898,371,'583',468,'222',',krn:{"59":-0.167,"58":-0.167,"61":-0.111}}],[0.','944',468,'139',1008,'828',468,'0785,krn:{"61',419,'61',344,698,429,'581',468,'222',1008,'683',468,'0715,krn:{"61',565,698,429,'389,0.75],[0.389',286,'0.389',286,'1,0.358,-0.142],[',1035,'0.417',822,778,'529',259,'429',251,'433',306,742,'52',294,'89":0.0556,"90',565,'106":-0.111,"102":-0.167,"',682,'466',306,742,'49',523,541,'108,krn:{"',698,941,'477',651,541,'0359,',725,371,'576',294,'127":-',371,'345,0.66],[0.412,0.66',541,'0572,krn:{"59',565,790,699,'521',247,'0315}],[0.298',247,'0197,',686,'878',259,'6',259,'485',306,742,'503',261,',{',686,'446',651,541,'0359,',686,'451',625,668,'krn:{"',698,699,'469',306,742,'361,0.615,0,{',686,'572',279,898,371,'485',625,'0359,',725,371,'716',625,'0269,',686,'572',279,898,371,'49',651,541,'0359,',742,'465',625,'044,',742,'322',279,898,371,'384',261,',{',686,'636',261,',{',778,'5,0.714',',0,{ic:0.','154}],[0.278',247,'399}]],cmsy10:[[',302,'0.278,0.444,-0.0556],[',302,852,302,'0.5,0.444,-0.0556],[',302,302,302,302,302,302,302,'1',286,1159,1159,'0.778',849,'0.778,0.464,-0.0363','],[0.778,0.636,0.136',1174,1174,1174,1174,1174,'],[0.778',334,'0.778,0.483,-0.0169],[0.778',878,'0.778',878,'1',878,'1',878,'0.778',878,'0.778',878,'1',334,'1',334,'0.5',286,'0.5',286,'1',334,'1',286,'1',286,'0.778',849,'1',334,'1',334,'0.611',286,'0.611',286,'1',334,'1',286,'1',286,'0.778',259,'275,0.556],[1',259,'667',878,'0.667',878,'0.889',286,'0.889',286,'0',286,'0',334,'0.556',251,'556',251,'667',259,'5',288,'722',251,'722',251,'778',251,'778',251,'611',251,'798',342,'48":0.','194}}],[0.657',468,'0304',',krn:{"48":0.',900,'527',468,'0583',1264,900,'771',468,'0278',1264,429,'528',468,'0894',1264,'111}}],[0.','719',468,'0993',1264,1280,'595',',0.683,0.0972,{ic:0.','0593',1264,1280,'845',468,'00965',1264,1280,'545',468,'0738,krn:{"48":',371,'678',1287,'185',1264,941,'762',468,'0144',1264,699,'69',342,1260,'139}}],[1.2',342,1260,900,'82',468,'147',1264,429,'796',468,1273,1264,1280,'696',468,'0822',1264,429,'817,0.683,0.0972,{krn:{"',1260,1280,'848',342,1260,429,'606',468,'075',1264,900,'545',468,'254,krn:{"48":',371,'626',468,'0993',1264,429,'613',468,'0822,krn:{"48":',371,'988',468,'0822',1264,429,'713',468,'146',1264,900,'668',1287,'0822',1264,429,'725',468,'0794',1264,900,'667,0.556],[0.',1377,1377,1377,1377,'611',251,'611',251,'444',298,'444',298,'444',298,'444',298,'5',298,'5',298,'389',298,'389',298,'278',298,'5',298,'5',298,'611',298,'5',298,'278',286,'0.833,0.04,0.96],[0.75',225,'833',225,'417',523,541,'111}],[0.',1377,'667,0.556',1174,1174,'],[0.444',286,'0.444',286,'0.444',286,'0.611',286,'0.778,0.694,0.13','],[',1434,'],[',1434,'],[',1434,']],cmex10:[[0.458',',0.04,1.16,{n:','16}],[0.458',1442,'17}],[0.417',1442,'104}],[0.417',1442,'105}],[0.','472',1442,'106}],[0.472',1442,'107}],[0.472',1442,'108}],[0.','472',1442,'109}],[0.583',1442,'110}],[0.583',1442,1421,'472',1442,'68}],[0.472',1442,'69}],[0.333',',0,0.6,{delim:{','rep:12}}],[0.556',1469,'rep:13}}],[0.578',1442,'46}],[0.578',1442,'47}],[0.597',',0.04,1.76,{','n:18}],[0.597',1477,'n:19}],[0.736',',0.04,2.36,{n:','32}],[0.736',1481,'33}],[0.528',1481,'34}],[0.528',1481,'35}],[0.583',1481,'36}],[0.583',1481,'37}],[0.583',1481,'38}],[0.583',1481,'39}],[0.75',1481,'40}],[0.75',1481,'41}],[0.75',1481,'42}],[0.75',1481,'43}],[1.04',1481,'44}],[1.04',1481,'45}],[0.792',',0.04,2.96,{n:','48}],[0.792',1509,'49}],[0.583',1509,'50}],[0.583',1509,'51}],[0.639',1509,'52}],[0.639',1509,'53}],[0.639',1509,'54}],[0.639',1509,'55}],[0.806',1509,'56}],[0.806',1509,'57}],[0.806',',0.04,2.96],[','0.806',1529,'1.28',1529,'1.28',1529,'0.811',1477,'n:30}],[0.811',1477,'n:31}],[0.875',1477,'delim:{top:','48,bot:64,rep:66}}],[0.875',1477,1542,'49,bot:65,','rep:67}}],[0.','667',1477,1542,'50,bot:52,rep:54}}],[0.667',1477,1542,'51,bot:53,rep:55}}],[0.667',1477,'delim:{bot:','52,rep:54}}],[0.667',1477,1556,'53,rep:55}}],[0.667',1469,'top:50,rep:54}}],[0.667',1469,'top:51,rep:55','}}],[0.889,0,0.9,{delim:{top:','56,mid:60,bot:58,rep:62',1565,'57,mid:61,bot:59,rep:62',1565,'56,bot:58,rep:62',1565,'57,bot:59,rep:62','}}],[0.889,0,1.8,{delim:{rep:','63',1573,'119}}],[0.889,0,0.3,{delim:{','rep:62}}],[0.','667',1469,'top:120,','bot:121,rep:63}}],[0.','875',1477,1542,'56,bot:59,',1577,'875',1477,1542,'57,bot:58,',1577,'875',1469,'rep:66}}],[0.875',1469,1547,'611',1477,'n:28}],[0.611',1477,'n:29','}],[0.833,0,1,{n:','71}],[1.','11,0.1,1.5],[','0.472,0,1.11,{ic:0.194,n:','73}],[0.556,0,2.22,{ic:0.444}],[1.','11,0,1,{n:','75}],[1.51',',0.1,1.5],[1.',1607,'77}],[1.51',1609,1607,'79}],[1.51',1609,'06,0,1,{n:88}],[','0.944,0,1,{n:','89}],[',1605,'90',1602,'91',1602,'92',1602,'93',1602,'94',1602,'95}],[1.44',1609,'28,0.1,1.5],[0.556,0',',2.22,{ic:0.444}],[1.11',1609,'11',1609,'11',1609,'11',1609,1604,1617,'97}],[1.',1632,'.722,0,{n:99','}],[1,0.75,0,{n:','100','}],[1.44,0.75],[0.','556,0.722,0,{n:102',1646,'103',1648,'472',1477,'n:20}],[0.472',1477,'n:21}],[0.528',1477,'n:22}],[0.528',1477,'n:23}],[0.528',1477,'n:24}],[0.528',1477,'n:25}],[0.667',1477,'n:26}],[0.667',1477,'n:27}],[1',1442,'113}],[1',1477,'n:114}],[1',1481,'115}],[1',1509,'116}],[1.06,0,1.8,{',1542,'118,bot:116,rep:117}}],[1.06,0,0.6],[1.06,0.04,0.56],[0.778',1469,'top:126,','bot:127,rep:119','}}],[0.667',1469,1580,'rep:63}}],[0.667',1469,1581,'45,0.12],[0.',1689,1689,1689,'778',1469,1681,'rep:119}}],[0.778',1469,1682,'}}]],cmti10:[[0.627',468,'133}],[0.818',225,'767',468,'094}],[0.692',225,'664',468,'153}],[0.743',468,'164}],[0.','716',468,'12}],[0.','767',468,1421,'716',468,'0599}],[0.767',468,1421,'716',468,'103}],[0.','613',523,541,'212,krn:{"39":0.104,"63":0.104,"33":0.104,"41":0.104,"93":0.104},lig:{"105":',249,'562',523,541,1725,'588',523,541,1725,'882',523,541,1725,'894',523,541,1725,'307',625,'0767}],[0.','332',651,541,'0374}],[0.511',251,'511',247,'0969','}],[0.511,0.','628',1150,'083}],[0.511',247,'108',1758,'562',1150,1725,'831',251,'46,0,0.17],[0.537',523,541,1449,'716',625,'0751}],[0.716',625,'0751',1758,'528',833,'0919}],[0.883',468,1714,'985',468,1714,'767,0.732,0.0486,{ic:0.094}],[0.256',279,'108":-0.256,"76":-0.321}}],[0.307',247,'124,lig:{"96":',282,'514',247,'0696}],[0.818',523,541,'0662}],[0.769',251,'818,0.75,0.0556,{ic:0.136}],[0.767',247,'0969}],[0.307',247,'124,krn:{"63":0.102,"33":0.102',296,'409',',0.75,0.25,{ic:0.','162}],[0.409',1808,'0369',1758,'75',1150,'149}],[0.767,0.562,0.0567,{ic:0.0369','}],[0.307,0.','106',304,'358',625,'0283,',307,'123}}],[0.307,0.106],[0.511',1808,'162}],[','0.511,0.644,0,{ic:0.136}],[',1826,1826,1826,'0.511',313,541,'136}],[',1826,1826,'0.511',313,541,'136}],[',1826,1826,'0.307',625,'0582',1816,'431',541,'0582',1816,'5',541,'0756}],[0.767,0.367,-0.133,{ic:0.0662',1758,'5',304,'511',247,'122,lig:{"96":62}}],[0.767',247,'096}],[0.743',375,'krn:{"110":-0.0256,"108":-0.0256,"114":-0.0256,"117":-0.0256,"109":-0.0256,"116":-0.0256,"105":-0.0256,"67":-0.0256,"79":-0.0256,"71":-0.0256,"104":-0.0256,"98":-0.0256,"85":-0.0256,"107":-0.0256,"118":-0.0256,"119":-0.0256,"81":-','0.0256,"84','":-0.0767,"','89',1864,'86','":-0.102,"','87',1868,'101":-0.0511,"97":-0.0511,"111":-0.0511,"100":-0.0511,"99":-0.0511,"103":-0.0511,"113":-0.0511}}],[0.','704',468,1725,'716',468,'145}],[0.','755',468,'094,krn:{"88','":-0.0256,"','87',1881,'65',1881,'86',1881,'89','":-0.0256}}],[0.','678',468,1714,'653',468,'133,krn:{"','111','":-0.0767,"101":-0.0767,"','117','":-0.0767,"114":-0.0767,"97":-0.0767,"','65',1868,'79":-0.0256,"67":-0.0256,"71":-0.0256,"81":-0.0256}}],[0.','774',468,'0872}],[0.743',468,1711,'386',468,'158}],[0.525',468,'14}],[0.769',468,'145,krn:{"',1902,'627',342,'84',1864,'89',1864,'86',1868,'87',1868,1871,'897',468,1711,'743',468,1711,'767',468,'094,krn:{"88',1881,'87',1881,'65',1881,'86',1881,'89',1889,'678',468,'103',',krn:{"65":-0.0767}}],[0.','767,0.683',541,'094}],[0.729',468,'0387,',1862,'0.0256,"84',1864,'89',1864,'86',1868,'87',1868,1871,'562',468,1714,'716',468,1895,'121',1897,'111',1899,'117":-0.0767,"65":-0.0767}}],[0.','743',468,1711,'743',468,'184,krn:{"111',1897,'117',1899,'65',1868,1902,'999',468,'184',1948,'743',468,'158,krn:{"',1902,'743',468,'194,',488,1864,'111',1899,1974,'613',468,1877,'307',1808,'188}],[0.514',247,'169}],[0.307',1808,1449,'511',247,'0665',1816,'668',1150,'118}],[0.307',247,1792,513,'511',625,1749,'46',247,'0631,krn:{"',1871,'46',625,'0565,krn:{"',1871,'511',247,'103,krn:{"108":0.0511}}],[0.46',625,'0751,krn:{"',1871,'307',523,541,1729,539,'46',651,541,'0885}],[0.511',247,'0767',1816,'655',1150,'102',1816,'655',541,1877,'46',247,1456,'256',822,'i'], ['c:0.103',',krn:{"108":0.0511}}],[0.','818',',0.431,0,{ic:0.','0767}],[0.','562',3,'0767,krn:{"39":-0.102','}}],[0.','511',3,'0631',',krn:{"101":-0.0511,"97":-0.0511,"111":-0.0511,"100":-0.0511,"99":-0.0511,"103":-0.0511,"113":-0.0511}}],[0.','511',',0.431,0.194,{ic:0.','0631',12,'46',14,'0885}],[0.','422',3,'108',12,'409',3,'0821}],[0.332,0.615,0,{ic:0.0949}],[0.537',3,4,'46',3,'108}],[0.664',3,'108',1,'464',3,'12}],[0.486',14,19,'409',3,'123}],[0.511',3,'0921',',lig:{"45":124}}],[1.','02',3,'0921}],[0.511,0.694,0,{ic:0.122','}],[0.511,0.668,0,{ic:0.','116',49,'105}]],cmbx10:[[0.692',',0.686],[0.','958',53,'894',53,'806',53,'767',53,'9',53,'831',53,'894',53,'831',53,'894',53,'831',53,'671',',0.694,0,{ic:0.109,krn:{"39":0.109,"63":0.109,"33":0.109,"41":0.109,"93":0.109},lig:{"105":','14,"108":15',8,'639',',0.694],[0.','639',79,'958',79,'958',79,'319',',0.444],[0.','351',',0.444,0.194','],[0.575,0.','694',90,'694',90,'632',90,'694',90,'596],[0.869',79,'511,0,0.17],[0.597',79,'831',87,'894,0.444',90,'542,0.0972],[1.04,0.686],[1.17',53,'894,0.735,0.0486],[0.319',',0.444,0,{krn:{"','108":-0.319,"76":-0.378',8,'35',',0.694,0,{lig:{"96":','60',8,'603',79,'958,0.','694,0.194',90,'75,0.0556],[0.',119,122,'894',79,'319',',0.694,0,{krn:{"','63":0.128,"33":0.128},lig:{"39":34',8,'447',',0.75,0.25],[0.','447,0.75,0.25',90,'75],[0.894,0.633,0.133],[','0.319,0.156',',0.194],[0.','383',',0.444,0',',{lig:{"45":123}}],[',136,90,'75,0.25',90,'644',90,'644',90,'644',90,'644',90,'644',90,'644',90,'644',90,'644',90,'644',90,'644],[0.319',87,'319',89,'],[0.35,0.5',137,'894,0.391,-0.109],[0.543,0.5',137,'543',114,'62',8,'894',79,'869',',0.686,0,{krn:{"','116','":-0.0319,"','67',180,'79',180,'71',180,'85',180,'81',180,'84":-0.0958,"89":-0.0958,"86":-0.128,"87":-0.128}}],[','0.818',53,'831',53,'882',178,'88',180,'87',180,'65',180,'86',180,'89','":-0.0319}}],[0.','756',53,'724,0.686,0,{','krn:{"111":-0.0958,"101":-0.0958,"117":-0.0958,"114":-0.0958,"97":-0.0958,"65":-0.128,"79":-0.0319,"67":-0.0319,"71":-0.0319,"81":-0.0319}}],[','0.904',53,'9',53,'436',178,'73":0.0319',8,'594',53,'901',178,'79',180,'67',180,'71',180,'81',207,'692',178,191,'1.09',53,'9',53,'864',178,'88',180,'87',180,'65',180,'86',180,'89',207,'786',178,'65":-0.0958,"111',180,'101',180,'97',180,'46":-0.0958,"44":-0.0958}}],[0.','864,0.686',137,'862',178,'116',180,'67',180,'79',180,'71',180,'85',180,'81',180,191,'0.639',53,'8',178,'121',180,'101":-0.0958,"111":-0.0958,"114":-0.0958,"97":-0.0958,"65":-0.0958,"117":-0.0958}}],[0.','885',53,'869,0.686,0,{ic:0.','016,',211,'1.19,0.686,0,{ic:0.016,',211,'0.869',178,'79',180,'67',180,'71',180,'81',207,286,'0287,krn:{"',283,'703',53,'319',132,'603',79,'319,0.75,0.25',90,'694],[0.319',79,'319',114,'92',8,'559',110,'118',180,'106":0.0639,"121',180,'119',207,'639,0.694,0',',{krn:{"101":0.0319,"111":0.0319,"120":-0.0319,"100":0.0319,"99":0.0319,"113":0.0319,"118":-0.0319,"106":0.0639,"121":-0.0319,"119":-0.0319}}],[0.','511',110,'104',180,'107',207,'639',79,'527',87,'351',75,'12,"102":11,"108":13',8,'575',89,',{ic:0.016,krn:{"','106":0.0319',8,'639',128,'116',180,'117',180,'98',180,'121',180,'118',180,'119',207,'319',79,'351,0.694',137,'607',128,'97":-0.0639,"101',180,'97',180,'111',180,'99',207,'319',79,'958',110,'116',180,'117',180,'98',180,'121',180,'118',180,'119',207,'639',110,'116',180,'117',180,'98',180,'121',180,'118',180,'119',207,'575',139,327,'639',89,327,'607',89,'],[0.474',87,'454',87,'447,0.635,0,{krn:{"121',180,'119',207,'639',110,'119',207,'607',139,344,'97":-0.0639,"101',180,'97',180,'111',180,'99',207,'831',139,344,'101',180,'97',180,'111',180,'99',207,'607',87,'607',89,344,'111',180,'101',180,'97',180,259,'511,0.444',90,'444,0,{ic:0.0319',45,'15,0.',461,'}],[0.575,0.694',90,'694',90,'694]]};','jsMath.Img','={fonts:[50,60,70,85,100,120,144,173,207,249,298,358,430],w:{"50":6.9,"60":8.3,"70":9.7,"85":11.8,"100":13.9,"120":16.7,"144":20,"173":24,"207":28.8,"249":34.6,"298":41.4,"358":49.8,"430":59.8},best:4,update:{},factor:1,loaded:0,SetFont',':function(','_8f){for(var _90 in _8f){if(!','this.update[_90',']){',474,']=[];}',474,']=',474,'].concat(_8f[_90]);}},AddFont',472,'_91,def){if(!',470,'[_91]){',470,'[_91]={};}','jsMath.Add(',470,'[_91],def);},UpdateFonts',':function(){','var _93=this.update;','if(!this.loaded){','return;}var ','_94=this[','jsMath.Img.fonts','[this.best]];','for(var _95 in _93){','for(var i=0;i<','_93[_95].length;i++){var c=_93[_95][i];if(c=="all"){for(c in ','jsMath.TeX[','_95]){',501,'_95][c].img','={};}}else{',501,504,'={};}}}this.update={};},BestSize',491,'var w=jsMath.em*this.factor;var m=','this.w[this.fonts[','0]];for(var i=1;i<','this.fonts','.length;i++){','if(w<(',511,'i]]+2*m)/3){','return ','i-1;}m=',511,'i]];}',518,'i-1;},Scale',491,493,'return;}this.best=this.BestSize();this.em=',470,'.w[',513,497,'this.scale','=(jsMath.em/this.em);','if(Math.abs(',531,'-1)<0.12){',531,'=1;}},URL',472,'_9b,_9c,C){var _9e=(','jsMath.Controls.cookie.','alpha)?"/alpha/":"/plain/";if(C==null){C="def.js";}else{C="char"+C+".png";}if(_9c!=""){_9c+="/";}','return this.','root+_9b+_9e+_9c+C;},LoadFont',472,'_9f){',493,'this.Init();}jsMath.Setup.Script(this.URL(_9f,""));},Init',491,'if(',540,'print){',540,'print=0;this.factor*=3;if(jsMath.window.location.protocol!="file:"){jsMath.Controls.SetCookie(0);}if(','jsMath.Browser.','alphaPrintBug){',540,'alpha=0;}}var _a0="0123456789ABCDEF";this.HexCode=[];',499,'128;i++){var h=Math.floor(i/16);var l=i-16*h;this.HexCode[i]=_a0.charAt(h)+_a0.charAt(l);}this.loaded=1;}};jsMath.HTML={Em',472,'m){var n=5;if(m<0){n++;}',533,'m)<0.000001){m=0;}var s=String(m);s=s.replace(/(\\.\\d\\d\\d).+/,"$1");',518,'s+"em";},Spacer',472,'w){if(w==0){return "";}return "<','span class=\\"spacer\\" style=\\"margin-','left:"+this.Em(','w)+"\\">
";},Blank',472,'w,h,d,_ab){var _ac="";var _ad="";if(_ab){_ad+="border-',569,'w)+" solid;";if(',554,'widthAddsBorder){w=0;}}if(w==0){if(',554,'blankWidthBug){_ad+="width:1px;";_ac="<',568,'right:-1px\\">
";}}else{_ad+="width:"+this.Em(w)+";";}if(d==null){d=0;}if(h){var H=this.Em(h+d);if(_ab&&h>0&&h*jsMath.em<1.5){H="1px";h=1/jsMath.em;}_ad+="height:"+H+";";}if(',554,'mozInlineBlockBug){d=-h;}if(',554,'msieBorderBug&&!_ab){d-=jsMath.d;}if(d){_ad+="','vertical-align:"+','this.Em(-d);}',518,'_ac+"";},Rule',472,'w,h){if(h==null){h=jsMath.TeX.default_rule_thickness;}',542,'Blank(w,h,0,1);},Class',472,'_b1,_b2){return ""+_b2+"";},Place',472,'_b3',',x,y){if(Math.abs(x)<0.0001){x=0;}if(Math.abs(y)<0.0001){y=0;}','if(x||y){var _b6','=""+_b3','+"";}',518,'_b3;},PlaceSeparateSkips',472,'_b7',599,'if(y){_b7',601,602,'; ',606,'(-y)+";"+"\\">"+_b7',608,'if(x){_b7=this.Spacer(x)+_b7',';}return ','_b7;},PlaceAbsolute',472,'_ba',599,'_ba',601,':absolute','; ',569,'x)+"; "+"',606,'(y)+";\\">"+_ba+" ";',518,'_ba;},Absolute',472,'_bd,w,h,d,y,H){if(y!="none"){',533,'y)<0.0001){y=0;}_bd',601,629,'; "+"top:"+','jsMath.HTML.','Em(y)+"; left:0em',';\\">"+_bd','+" "+"";}if(d=="none"){d=0;}_bd+=this.Blank(w,h-d,d);if(',554,'msieAbsoluteBug){_bd',601,':relative',646,608,'_bd',601,651,';"+" width: "+',644,'Em(w)+";"+" height: "+',644,'Em(H)+";"+',554,'msieInlineBlockFix+"\\">"+_bd+"";',518,'_bd;}};','jsMath.Box','=function(','_c3,_c4,w,h,d){if(d==null){d=jsMath.d;}this.type="typeset";this.w=w;this.h=h;this.d=d;this.bh=h;this.bd=d;this.x=0;this.y=0;','this.html=','_c4;this.format=_c3;};',488,666,',{defaultH:0,Null:','new jsMath.Box("','null","",0,0,0),Text',472,'_c8,_c9,_ca,_cb,a,d){var _ce=','jsMath.Typeset.AddClass(','_c9,_c8);_ce=','jsMath.Typeset.','AddStyle(','_ca,_cb,_ce);var BB','=jsMath.EmBoxFor(','_ce);var TeX=',680,'TeX(_ca,_cb);var bd=((_c9=="cmsy10"||_c9=="cmex10")?BB.h-TeX.h:TeX.d*BB.h/TeX.hd);','var box=',674,'text",_c8,BB.w,BB.h-bd,bd);box.style=_ca;box.size=_cb;','box.tclass','=_c9;if(d','!=null){box.','d=d','*TeX.scale;}else{box.','d=0;}if(a==null||a==1){box.h=0.9*TeX.M_height;}else{box.h=1.1*TeX.x_height+TeX.scale*a;}','return box;},','TeX',472,'C,_d4,_d5,_d6){var c=',501,'_d4][C];if(','c.d==null){c.d=0;}','if(c.h','==null){c.','h=0',';}if(c.img!=null','&&c.c!=""){this.TeXIMG(_d4,C,',680,'StyleSize(_d5,_d6));}var _d8=',680,'TeX(_d5,_d6).scale;var h=c.h+',501,'_d4].dh;',687,674,'text",c.c,c.w*_d8,h*_d8,c.d*_d8);box.style=_d5;box.size=_d6;if(c.tclass){',690,'=c.tclass;if(c.img){box.bh=c.img.bh;box.bd=c.img.bd;}else{box.bh=_d8*jsMath.h;box.bd=_d8*jsMath.d;}}else{',690,'=_d4;box.bh=_d8*',501,'_d4].h;box.bd=_d8*',501,'_d4].d;if(',554,'msieFontBug&&box.html.match(/&#/)){box.html+="x";}}',696,'TeXfallback',472,'C,_dc,_dd,_de','){c=',501,'_dc][C];if(!c.tclass){c.tclass=_dc',706,'){',542,'TeXnonfallback(',731,');}if(c.h!=null&&c.a',704,'a=c.h-1.1*jsMath.TeX.x_height;}',687,'this.Text(c.c,c.tclass,_dd,_de,c.a,c.d);var _e0=',680,'TeX(_dd,_de).scale;if(c.bh',692,'bh=c.bh*_e0;box.bd=c.bd*_e0;}else{var h=box.bd+box.bh;var _e2=',678,690,',box.html);_e2=',680,681,'_dd,_de,_e2);box.bd',683,'_e2+',644,'Blank(1,h)).h-h;box.bh=h-box.bd;if(_e0==1){c.bh=box.bh;c.bd=box.bd;}}if(jsMath.',726,':none\\">x";}',696,'TeXIMG',472,'_e3,C,_e5){var c=',501,'_e3][C];if(c.img.size!=null&&c.img.size==_e5&&c.img.best!=null&&c.img.best==','jsMath.Img.best','){',494,'_e7=(',470,'.scale!=1);var id=',767,'+_e5-4;if(id<0){id=0;_e7=1;}else{if(id>=',496,'.length){','id=',496,'.length-1',';_e7=1;}}var _e9=',470,'[',496,'[id]];var img=_e9[_e3][C];var _eb=1/',470,'.w[',496,'[id]];if(id!=',767,'+_e5-4){if(c.w!=null){_eb=c.w/img[0];}else{_eb*=',496,'[_e5]/',496,'[4]*',496,'[',767,']/',496,'[id];}}var w=img[0]*_eb;var h=img[1]*_eb;var d=-img[2]*_eb;var v;var _f0=(c.w==null||Math.abs(c.w-w)<0.01)?"":" margin-right:"+',644,'Em(c.w-w)+";";var _f1="";C=',470,'.HexCode[C];if(!_e7&&!',540,'scaleImg){if(2*w";}else{',847,'URL+"\\" ',589,554,851,'+"\\" />";}c.tclass="normal";c.img.bh=h+d;c.img.bd=-d;c.img.size=_e5;c.img.best=',767,';},Space',472,'w){',518,674,'html",',644,'Spacer(w),w,0,0);},Rule',472,592,'var _f7=',644,'Rule(w,h);',518,674,865,'_f7,w,h,0);},GetChar',472,'_f8,_f9){var c=',501,'_f9][_f8];','if(c.img!=null){this.TeXIMG(','_f9,_f8,4);}if(c.tclass',704,'tclass=_f9;}if(!c.computedW){c.w',683,678,'c.tclass,c.c)).w',';if(c.h==null){c','.h=jsMath.Box.defaultH;}if(',702,'c.computedW=1',622,'c;},DelimBestFit',472,'H,c,_fd,_fe){if(c==0&&_fd','==0){return null;}','var C;var h;_fd','=jsMath.TeX.fam[','_fd];var isSS=(_fe.charAt(1)=="S");var isS=(_fe.charAt(0)=="S");while(c!=null){C=',501,'_fd][c];if(C.h==null){C',889,'C.d==null){C.d=0;}h=C.h+C.d;if(C.delim','){return [c,_fd',',"",H];}if(isSS&&0.5*h>=H',904,',"SS",0.5*h];}if(isS&&0.7*h>=H',904,',"S",0.7*h];}if(h>=H||C.n==null',904,',"T",h];}c=C.n',622,'null;},DelimExtendRelative',472,'H,c,font,a,','_107){var C=',501,'font][','c];var top=this.GetChar(C.delim.top?C.delim.top:C.delim.rep,font);var rep=this.GetChar(C.delim.rep,font);var bot=this.GetChar(C.delim.bot?C.delim.bot:C.delim.rep,font);','var ext=',678,'rep.tclass,rep.c);','var w=rep.w;var h=','rep.h+rep.d',';var y;var dx;','if(C.delim.mid){var mid=this.GetChar(C.delim.mid,font);var n=Math.ceil((H-(top.h+top.d)-(mid.h+mid.d',')-(','bot.h+bot.d','))/(2*(',924,')));H=2*n*(',924,')+(top.h+top.d)+(','mid.h+mid.d',')+(',928,');if(_107){y=0;}else{y=H/2+a;}var Y=y',';var html=',644,'Place(',678,'top.tclass,top.c),0,','y-top.h)+',644,940,678,'bot.tclass,bot.c),-(','top.w+bot.w)/2,y-(H-bot.d))+',644,940,678,'mid.tclass,mid.c','),-(bot.w+mid.w)/2,y-(H+mid.h-mid.d)/2);dx=(w-mid','.w)/2;if(Math.abs(dx)<0.0001){dx=0;}if(dx){html+=jsMath.HTML.Spacer(dx);}y-=top.h+top.d+rep.h;for(var i=0;iH[i]){H[i]=row[j].h;}if(row[j].d>D[i]){D[i]=row[j].d;}if(j>=W.length){W[j]=row[j].w;}else{if(row[j].w>W[j]){W[j]=row[j].','w;}}if(row[j].bh>bh){bh=row[j].bh;}if(row[j].bd>bd){bd=row[j].bd;}}}if(bh==_14a){bh=0;}if(bd==_14a){bd=0;}','var HD=(jsMath.hd-0.01)*','_146;','var html="";var ','pW=0;var cW=0;var w;var h;var y;var box;var _158;var _159',';for(j=0;j0',1099,'(_158,"T",size);',958,644,940,'box.html,cW,0);cW=W[j]-box.w+_145[j];}else{cW+=_145[j];}}w=-_145[W',779,'];y=(H',779,')*_146/10',1152,'W',514,'w+=W[i]+_145[i];}','for(i=0;i0&&!this.html.match(/position: ?absolute/)){this.w',683,'this.html).w',622,'this;}});',1306,667,'type,def){this.type=type;',488,'this,def);};',488,1306,',{Atom',472,'type,_187','){return new jsMath.mItem','(type,{atom:1,nuc',':_187});},TextAtom',472,'type,text,_18a,a,d){var atom=new ',1306,1346,':{type:"text",text:text,tclass:_18a}});if(a','!=null){atom.nuc.','ascend=a;}if(d',1353,'descend=d',622,'atom;},TeXAtom',472,'type,c,font',1345,1346,':{type:"TeX",c:c,font:font}});},Fraction',472,'name,num,den,_194,left,_196',1345,'("fraction",{from:name,num:num,den:den,thickness:_194,left:left,right:_196});},Space',472,'w',1345,'("space",{w:w});},Typeset',472,'box',1345,'("ord",{atom:1,nuc:box});},HTML',472,'html',1345,'("html",{html:html});}});jsMath.mList',667,'list,font,size,_19d){if(list){','this.mlist','=list;}else{',1382,'=[];}if(_19d==null){_19d="T";}if(size==null){size=4;}this.data={openI:null,overI:null,overF:null,font:font,','size:size,style:_19d','};this.init={',1386,'};};',1310,'mList,{Add',472,'box){return (',1382,'[','this.mlist.length',']=box);},Get',472,'i){',542,'mlist[i];},Length',491,518,1396,';},Last',491,'if(',1396,896,542,'mlist[',1396,'-1];},Range',472,'i,j){if(j==null){j=',1396,622,'new jsMath.mList','(',1382,'.slice(i,j+1));},Delete',472,1415,'i;}if(',1382,'.splice){',1382,'.splice(i,j-i+1);}else{var _1a4=[];for(var k=0;k<',1396,';k++){if(kj){_1a4[_1a4.length]=',1382,'[k];}}',1382,'=_1a4;}},Open',472,'left){',687,'this.Add(new ',1306,'("boundary",{','data:this.data}));var _1a8=this.data;this.data={};for(var i in _1a8){this.data[i]=_1a8[i];}',1323,'data.overI;',1323,'data.overF;this.data.openI=',1396,'-1;if(left',692,'left=left;}',696,'Close',472,'_1aa){if(_1aa!=null){_1aa=new ',1306,1440,'right:_1aa});}var atom;var open=this.data.openI;','var over=this.data.overI;var from=this.data.overF;','this.data=',1382,'[open].data;if(over){','atom=jsMath.mItem.Fraction(from.name,{type:"mlist",mlist:this.Range(open+1,over-1)},{type:"mlist",mlist:this.Range(over)},from.thickness,from.left,from.right);','if(_1aa){var _1af=',1418,'([',1382,'[open],atom,_1aa]);atom=',1306,'.Atom("inner','",{type:"mlist",mlist:','_1af});}}else{var _1b0=open+1;if(_1aa){this.Add(_1aa);_1b0--;}atom=',1306,'.Atom((_1aa)?"inner":"ord',1469,'this.Range(_1b0)});}this.Delete(open,this.Length());',542,'Add(atom);},Over',491,1457,'var ',1461,1382,'=[atom];},Atomize',472,'_1b4,size){var _1b6;var prev="";this.style=_1b4;this.size=size;',499,1396,';i++){_1b6=this.mlist['], ['i];','_1b6','.delta=0',';if(',1,'.type=="','choice"){','this.mlist','=this.Atomize.choice(','this.style',',',1,',i,',7,');i--;}','else{if(','this.Atomize[_1b6.type',']){var f=',16,'];f(',9,',','this.size',',',1,',prev,this,i);}}prev=',1,';}if(',1,'&&',1,5,'bin"){',1,'.type="ord','";}if(',7,'.length>=2&&',1,5,'boundary"&&',7,'[0].type=="boundary"){this.','AddDelimiters','(_1b4,size);}},',43,':function(','_1ba,size){var _1bc=-10000;var h=_1bc;var d=_1bc;for(var i=0;i<',7,'.length;i++){','mitem=',7,'[i];if(mitem.atom||mitem',5,'box"){h','=Math.max(','h,','mitem.nuc.','h+',57,'y);d',55,'d,',57,'d-',57,'y);}}var TeX','=jsMath.TeX',';var a=','jsMath.Typeset.','TeX(_1ba,size).axis_height;var _1c2',55,'h-a,d+a);var H',55,'Math.floor(','TeX.integer','*_1c2/500)*TeX.delimiterfactor,',75,'*(2*_1c2-TeX.delimitershortfall))/',75,';var left=',7,'[0];var _1c5=',7,'[',7,'.length-1];left.nuc','=jsMath.Box.','Delimiter(H,','left.left',',_1ba);_1c5.nuc',87,88,'_1c5.right',',_1ba);left.type="open";left','.atom=1;delete ',89,';_1c5.type="close";_1c5',95,93,';},Typeset',46,'_1c6,size){var _1c8=new ','jsMath.Typeset','(',7,');return _1c8.Typeset(_1c6,size);}});jsMath.Add(jsMath.mList.prototype.Atomize,{style',46,'_1c9,size,_1cb,prev,_1cd){_1cd.style=_1cb.style;},size',46,'_1ce,size,_1d0,prev,_1d2){_1d2.size=_1d0.size;},phantom',46,'_1d3,size,_1d5){','var box','=_1d5.nuc',87,'Set(','_1d5.phantom',',_1d3',',size);','if(_1d5.h){box','.Remeasured();','box','.html=','jsMath.HTML.','Spacer(','box.w);}else{','box.html="",box.w=0;}if(!_1d5.v){','box.h=box.d=','0;}','box.bd=box.bh=0;delete ',117,';_1d5','.type="box";},','smash',46,'_1d7,size,_1d9){',113,'=_1d9.nuc',87,116,'_1d9.smash',',_1d7,','size).Remeasured();',128,130,141,';_1d9',133,'raise',46,'_1db,size,_1dd){','_1dd.nuc',87,116,152,',_1db',',size);var ','y=_1dd.raise;',152,123,124,'Place(',152,'.html,0,y);',152,'.h+=y;',152,'.d-=y;_1dd',34,'";_1dd.atom=1;},lap',46,'_1df,size,_1e1){',113,87,116,'_1e1.nuc',',_1df,',143,'var _1e3=[box];','if(_1e1.lap=="','llap"){','box.x=-box.w',';}else{',180,'rlap"){_1e3[1]=','jsMath.mItem.Space','(-',126,180,'ulap"){box.y=box.d;',128,'0',183,180,'dlap"){box.y=-box.h;',128,'0;}}}}',176,87,'SetList','(_1e3,_1df',119,180,'ulap"||_1e1.lap=="dlap"){',176,'.h=',176,'.d=0;}_1e1.type="box";delete _1e1.atom;},bin',46,'_1e4,size,_1e6',',prev){if(prev','){var type=prev.type;if(type=="bin','"||type=="','op',213,'rel',213,'open',213,'punct','"||type==""||(type=="',40,'prev.left!="")){_1e6',34,'";}}else{_1e6',34,'";}','jsMath.mList.prototype.Atomize.SupSub(',210,');},rel',46,'_1e9,size,_1eb',211,5,32,'prev',34,'";}',228,232,');},close',46,'_1ed,size,_1ef',211,5,32,'prev',34,'";}',228,243,');},',220,46,'_1f1,size,_1f3',211,5,32,'prev',34,'";}',228,255,');},open',46,'_1f5,size,_1f7','){',228,266,');},inner',46,'_1f8,size,_1fa','){',228,272,');},','vcenter',46,'_1fb,size,_1fd','){',113,87,116,'_1fd.nuc,_1fb',157,'TeX=',69,'TeX(_1fb',119,'box.y=','TeX.axis_height','-(box.h-box.d)/2;_1fd.nuc=box;_1fd',34,'";',228,279,');},','overline',46,'_200,size,_202','){var TeX=',69,'TeX(_200',157,'box',87,116,'_202.nuc',',',69,'PrimeStyle','(_200),',143,'var t=','TeX.default_rule_thickness',';var rule',87,'Rule(box.w,t);rule.x=-rule.w;rule.y','=box.h+3*t;',308,87,'SetList([box,','rule],_200',119,308,'.h+=t;_202',34,'";',228,300,');},','underline',46,'_207,size,_209','){var TeX=',69,'TeX(_207',157,'box',87,116,'_209.nuc',',',69,311,'(_207),',143,314,315,';var rule',87,318,'=-box.d-3*t-t;',342,87,322,'rule],_207',119,342,'.d+=t;_209',34,'";',228,334,');},radical',46,'_20e,size,_210','){var TeX=',69,'TeX(_20e',157,'Cp=',69,311,'(_20e);',113,87,116,'_210.nuc,Cp,',143,314,315,';var p=t;if(_20e=="D"||_20e=="D\'"){p=TeX.x_height;}var r=t+p/4;var surd',87,'Delimiter(','box.h+box.d','+r+t,[0,2,112,3,112],_20e,1);t=surd.h;if(surd.d>',386,'+r){r=(r+surd.d-box.h-box.d)/2;}surd.y=box.h+r;var rule',87,'Rule(box.w,t);rule.y=surd.y-t/2;rule.h+=3*t/2;',182,';var Cr=',69,'UpStyle(',69,395,'_20e));var root',87,116,'_210.root,Cr,',143,'if(_210.root){root.y=0.55*(',386,'+3*t+r)-box.d;surd.x',55,'root.w-(11/18)*surd.w,0);rule.x=(7/18)*surd.w;root.x=-(root.w+rule.x);}_210.nuc',87,200,'([surd,root,rule,box],_20e',119,'_210',34,'";',228,367,');},accent',46,'_21b,size',',_21d){var TeX=',69,'TeX(_21b',157,'Cp=',69,311,'(_21b);',113,87,116,'_21d.nuc',',Cp',157,'u=box.w;var s;var Font;if(',431,5,'TeX"){Font',67,'[',431,'.font];if(Font[',431,'.c].krn&&Font.skewchar){s=Font[',431,'.c].krn[Font.skewchar];}}if(s==null){s=0;}var c=_21d.accent[2];var font',67,'.fam[_21d.accent[1]];Font',67,'[font];while(Font[c].n&&Font[Font[c].n].w<=u){c=Font[c].n;}var _226=Math.min(box.h,TeX.','x_height);','if(',431,5,'TeX"){var ','_227=jsMath.mItem.Atom("ord",',431,');_227.sup=_21d.sup;_227.sub=_21d.sub;_227',2,';',228,419,',_227);_226+=(_227.nuc.h-box.h);box=',431,'=_227.nuc;delete _21d.sup;delete _21d.sub;}var acc',87,'TeX(c,font,',419,');acc.y=box.h-_226;acc.x=-box.w+s+(u-acc.w)/2;if(Font[c].ic){acc.x-=Font[c].ic*TeX.scale;}',431,87,322,'acc],',419,');if(',431,'.w!=box.w){var _229=',186,'(box.w-',431,'.w);',431,87,200,'([',431,',_229],',419,');}_21d',34,'";',228,419,',_21d);},op',46,'_22a,size,_22c','){var TeX=',69,'TeX(_22a',157,'box;_22c',2,';var isD=(_22a','.charAt(0)=="','D");if','(_22c.limits','==null&&isD){_22c.limits=1;}if(','_22c.nuc',5,454,'C',67,'[_22c.nuc.font][',507,'.c];if(isD&&C.n){',507,'.c=C.n;C',67,512,'C.n];}box',87,'Set(_22c.nuc,_22a,size',');if(C.ic){_22c','.delta=C.ic*TeX.scale;if',505,'||!_22c.sub||','jsMath.Browser.msieIntegralBug','){box',87,322,186,'(_22c.delta)],','_22a,size);}}','box.y=-((',386,')/2-box.d-',291,');if(Math.abs(box.y)<0.0001){box.y=0;}}if(!box){box',87,521,').Remeasured();}if',505,'){var W=box.w;var x=box.w;var _233=[box];var dh=0;var dd=0;if(_22c.sup){var sup',87,116,'_22c.sup,',69,395,'_22a),',143,'sup.x=((box.w-sup.w)/2+','_22c.delta/2)-x;','dh=TeX.big_op_spacing5;W',55,'W,sup.w);x+=sup.x+sup.w;sup.y=box.h+sup.d+box.y+Math.max(TeX.big_op_spacing1,TeX.big_op_spacing3-sup.d);','_233[_233.length]=','sup;delete _22c.sup;}if(_22c.sub){var sub',87,116,'_22c.sub,',69,'DownStyle','(_22a),',143,'sub.x=((box.w-sub.w)/2-',551,'dd=TeX.big_op_spacing5;W',55,'W,sub.w);x+=sub.x+sub.w;sub.y=-box.d-sub.h+box.y-Math.max(TeX.big_op_spacing2,TeX.big_op_spacing4-sub.h);',555,'sub;delete _22c.sub;}if(W>box.w){box.x=(W-box.w)/2;x+=box.x;}if(xi;k--){',606,'k+1]=',606,'k];}',606,'i+1]=',186,'(krn[_23e.nuc.c]);}}}}',228,602,');},fraction',46,'_241,size,_243','){var TeX=',69,'TeX(_241',157,'t=0;if(_243.thickness!=null){t=_243.thickness;}',15,'_243.from.match(/over/)){t=',315,';}}var isD=(_241',503,'D");var Cn=(_241=="D")?"T":(_241=="D\'")?"T\'":',69,395,'_241);var Cd=(isD)?"T\'":',69,561,'(_241);var num',87,116,'_243.num,Cn,',143,'var den',87,116,'_243.den,Cd,',143,'var u;var v;var w;var H=(isD)?TeX.delim1:TeX.delim2;var _24f=[',589,88,'_243.left,_241)];var _250',87,88,'_243.right,_241);if(num.w0){u+=p;v-=p;}}sup',121,'sub',121,806,'sub.y=-v;sup.x=_259.delta;if(sup.w+sup.x>sub.w){sup.x-=sub.w;',715,87,322,'sub,sup],',727,'else{sub.x-=(sup.w+sup.x);',715,87,322,'sup,sub],',727,779,'sup;',779,'sub;}});',103,'=function(_268){this.type="typeset";',7,'=_268;};jsMath.Add(',103,',{upStyle:{D:"S",T:"S","','D\'":"S\'","T\'":"S\'",S:"SS','",SS:"SS","','S\'":"SS\'","SS\'":"SS\'"},','downStyle:{D:"S\'",T:"S\'","',848,'\'",SS:"SS\'","',850,'UpStyle',46,'_269){return this.upStyle[_269];},',561,46,'_26a){return this.downStyle[_26a];},',311,46,'_26b){if(_26b',794,'_26b',796,'return _26b;}return _26b+"\'";},StyleValue',46,'_26c,v){if(_26c=="S"||_26c=="S\'"){return 0.7*v;}if(_26c=="SS"||_26c=="SS\'"){return 0.5*v;}return v;},StyleSize',46,'_26e,size){if(_26e=="S"||_26e=="S','\'"){size=Math.max(0,size-','2);}',15,'_26e=="SS','"||',875,872,'4);}}return ','size;},TeX',46,'_270,size){if(_270=="S"||_270=="S',872,'2);}',15,'_270=="SS','"||',886,872,879,'jsMath.TeXparams[size];},AddStyle',46,'_272,size,html){if(_272=="S"||_272=="S',872,'2);}',15,'_272=="SS','"||',897,872,'4);}}if(size!=4){html=""+html+"";}return html;},AddClass',46,'_275,html){if(_275!=""&&_275!="normal"){html=',124,'Class(_275,html);}return html',';}});jsMath.','Package(',103,',{DTsep:{ord',':{op:1,bin:2,rel:3,inner:1},','op',':{ord:1,op:1',',rel:3,inner:1},bin:{ord:2,op:2,open:2,inner:2},rel:{ord:3,op:3,open:3,inner:3},open:{},close',910,220,912,',rel:1,open:1,close',':1,punct:1,inner:1','},inner',912,',bin:2,rel:3,open',918,'}},SSsep:{ord:{op:1},op',912,'},bin:{},rel:{},open:{},close:{op:1},',220,':{},inner:{op:1}},sepW:["","thinmuskip","medmuskip","thickmuskip"],','GetSeparation',46,'l,r,_279){if(l&&l.atom&&r.atom){var _27a=this.DTsep;if(_279',503,'S"){_27a=this.SSsep;}var row=_27a[l.type];if(row&&row[r.type]!=null){return jsMath.TeX[this.sepW[row[r.type]]];}}return 0;},Typeset',46,'_27c,size){',9,'=_27c;',22,'=size;var _27e=-10000;this.w=0;this.h=_27e;this.d=_27e;this.bh=this.h;this.bd=this.d;','this.tbuf','="";this.','tx=0;','this.tclass','="";','this.cbuf',940,'hbuf',940,'hx=0;var _27f=null;var prev;this.x=0;this.dx=0;for(var i=0;i<',7,49,'prev=_27f;_27f=',7,'[i];switch(_27f.type){case "size":','this.FlushClassed();',22,'=_27f.size;','_27f=prev;break;case "','style":',954,'if(',9,794,9,796,9,'=_27f.style','+"\'";}else{',9,966,';}',957,'space":if(typeof (_27f.w)=="object"){if(',9,794,'1)=="','S"){_27f.w=0.','5*','_27f.w[0]/18',';}',15,9,503,976,'7*',978,183,'_27f.w=',978,';}}}this.dx+=_27f.w-0;',957,'html":',954,'if(this.hbuf==""){this.hx=this.','x;}','this.hbuf+=','_27f.html;_27f=prev;break;default:if(!_27f.atom&&_27f.type!="box"){break;}','_27f.nuc.','x+=this.dx+this.',928,'(prev,_27f,',9,');if(',997,'y||',997,'x){',997,'Styled();}this.dx=0;this.x=this.x+this.w;this.w+=',997,'w+',997,'x;if(',997,'format=="text"){if(',942,'!=',997,'tclass','&&',942,'!=""){this.FlushText();}if(',939,'==""&&',944,'==""){this.tx=this.x;}',939,'+=',997,'html;',942,'=',997,1018,183,954,'if(',997,'x||',997,'y){this.Place(_27f.nuc);}',993,'x;}',995,997,'html;}this.h',55,'this.h,',997,'h+',997,'y);this.bh',55,'this.bh,',997,'bh);this.d',55,'this.d,',997,'d-',997,'y);this.bd',55,'this.bd,',997,'bd);break;}}',954,'if(this.dx){',995,124,125,'this.dx);this.w+=this.dx;}if(this.hbuf==""){return ',589,'Null;}if(this.h==_27e){this.h=0;}if(this.d==_27e){this.d=0;}',113,'=new jsMath.','Box("html",this.hbuf,this.w,this.h,this.d);box.bh=this.bh;box.bd=this.bd;return box;},FlushText:function(){if(',939,'==""){return;}',944,'+=',69,'AddClass(',942,',',939,');',939,'="";',942,'="";},FlushClassed:function(){this.FlushText();if(',944,1078,993,'tx;}',995,69,'AddStyle(',9,',',22,',',944,');',944,'="";},Place',46,'item){var ','html=""+','item.html+"";','item.h+=item.y;item.d-=item.y;item.x=0;item.y=0',';},PlaceSeparateSkips',46,'item){if(item.y){item.',1108,'; "+"top:"+',124,1113,')+";"+"\\">"+',1117,'>";}if(item.x){item',123,124,125,'item.x)+item.html;}',1119,906,'Parse','=function(s,font,size,','_289){var _28a=new ','jsMath.Parser','(s,font,size,_289);_28a.Parse();return _28a;};',1139,1137,'_28e){this.string=s;this.i=0;',7,1075,'mList(null,font,size,_28e);};jsMath.Package(',1139,',{cmd:"\\\\",open:"{",close:"}",letter:/[a-z]/i,number:/[0-9]/,scriptargs:/^((math|text)..|mathcal)$/,mathchar:{"!":[5,0,33],"(":[4,0,40],")":[5,0,41],"*":[2,2,3],"+":[2,0,43],",":[6,1,59],"-":[2,2,0],".":[0,1,58],"/":[0,1,61],":":[3,0,58],";":[6,0,59],"<":[3,1,60],"=":[3,0,61],">":[3,1,62],"?":[5,0,63],"[":[4,0,91],"]":[5,0,93],"|":[0,2,106]},special:{"~":"Tilde","^":"HandleSuperscript","_":"HandleSubscript"," ":"Space","\\x01','":"Space","\\','t',1149,'r',1149,'n":"Space","\'":"Prime","%":"HandleComment","&":"HandleEntry"},mathchardef:{braceld:[0,3,122],bracerd:[0,3,123],bracelu:[0,3,124],braceru:[0,3,125],alpha:[0,1,11],beta:[0,1,12],gamma:[0,1,13],delta:[0,1,14],epsilon:[0,1,15],zeta:[0,1,16],eta:[0,1,17],theta:[0,1,18],iota:[0,1,19],kappa:[0,1,20],lambda:[0,1,21],mu:[0,1,22],nu:[0,1,23],xi:[0,1,24],pi:[0,1,25],rho:[0,1,26],sigma:[0,1,27],tau:[0,1,28],upsilon:[0,1,29],phi:[0,1,30],chi:[0,1,31],psi:[0,1,32],omega:[0,1,33],varepsilon:[0,1,34],vartheta:[0,1,35],varpi:[0,1,36],varrho:[0,1,37],varsigma:[0,1,38],varphi:[0,1,39],Gamma:[7,0,0],Delta:[7,0,1],Theta:[7,0,2],Lambda:[7,0,3],Xi:[7,0,4],Pi:[7,0,5],Sigma:[7,0,6],Upsilon:[7,0,7],Phi:[7,0,8],Psi:[7,0,9],Omega:[7,0,10],aleph:[0,2,64],imath:[0,1,123],jmath:[0,1,124],ell:[0,1,96],wp:[0,1,125],Re:[0,2,60],Im:[0,2,61],partial:[0,1,64],infty:[0,2,49],prime:[0,2,48],emptyset:[0,2,59],nabla:[0,2,114],surd:[1,2,112],top:[0,2,62],bot:[0,2,63],triangle:[0,2,52],forall:[0,2,56],exists:[0,2,57],neg:[0,2,58],lnot:[0,2,58],flat:[0,1,91],natural:[0,1,92],sharp:[0,1,93],clubsuit:[0,2,124],diamondsuit:[0,2,125],heartsuit:[0,2,126],spadesuit:[0,2,127],coprod:[1,3,96],bigvee:[1,3,87],bigwedge:[1,3,86],biguplus:[1,3,85],bigcap:[1,3,84],bigcup:[1,3,83],intop:[1,3,82],prod:[1,3,81],sum:[1,3,80],bigotimes:[1,3,78],bigoplus:[1,3,76],bigodot:[1,3,74],ointop:[1,3,72],bigsqcup:[1,3,70],smallint:[1,2,115],triangleleft:[2,1,47],','triangleright',':[2,1,46],bigtriangleup:[2,2,52],bigtriangledown:[2,2,53],wedge:[2,2,94],land:[2,2,94],vee:[2,2,95],lor:[2,2,95],cap:[2,2,92],cup:[2,2,91],ddagger:[2,2,122],dagger:[2,2,121],sqcap:[2,2,117],sqcup:[2,2,116],uplus:[2,2,93],amalg:[2,2,113],diamond:[2,2,5],bullet:[2,2,15],wr:[2,2,111],div:[2,2,4],odot:[2,2,12],oslash:[2,2,11],otimes:[2,2,10],ominus:[2,2,9],oplus:[2,2,8],mp:[2,2,7],pm:[2,2,6],circ:[2,2,14],bigcirc:[2,2,13],setminus:[2,2,110],cdot:[2,2,1],ast:[2,2,3],times:[2,2,2],star:[2,1,63],propto:[3,2,47],sqsubseteq:[3,2,118],sqsupseteq:[3,2,119],parallel:[3,2,107],mid:[3,2,106],dashv:[3,2,97],vdash:[3,2,96],leq:[3,2,20],le:[3,2,20],geq:[3,2,21],ge:[3,2,21],succ:[3,2,31],prec:[3,2,30],approx:[3,2,25],succeq:[3,2,23],preceq:[3,2,22],supset:[3,2,27],subset:[3,2,26],supseteq:[3,2,19],subseteq:[3,2,18],"in":[3,2,50],ni:[3,2,51],owns:[3,2,51],gg:[3,2,29],ll:[3,2,28],not:[3,2,54],sim:[3,2,24],simeq:[3,2,39],perp:[3,2,63],equiv:[3,2,17],asymp:[3,2,16],smile:[3,1,94],frown:[3,1,95],Leftrightarrow:[3,2,44],Leftarrow:[3,2,40],Rightarrow:[3,2,41],leftrightarrow:[3,2,36],leftarrow:[3,2,32],gets:[3,2,32],rightarrow:[3,2,33],to:[3,2,33],mapstochar:[3,2,55],leftharpoonup:[3,1,40],','leftharpoondown',':[3,1,41],rightharpoonup:[3,1,42],rightharpoondown:[3,1,43],nearrow:[3,2,37],searrow:[3,2,38],nwarrow:[3,2,45],swarrow:[3,2,46],hbarchar:[0,0,22],lhook:[3,1,44],rhook:[3,1,45],ldotp:[6,1,58],cdotp:[6,2,1],colon:[6,0,58],"#":[7,0,35],"$":[7,0,36],"%":[7,0,37],"&":[7,0,38]},delimiter:{"(":[0,0,40,3,0],")":[0,0,41,3,1],"[":[0,0,91,3,2],"]":[0,0,93,3,3],"<":[0,2,104,3,10],">":[0,2,105,3,11],"/":[0,0,47,3,14],"|":[0,2,106,3,12],".":[0,0,0,0,0],"\\\\":[','0,2,110,3,15],"\\\\','lmoustache":[4,3,122,3,64],"\\\\rmoustache":[5,3,123,3,65],"\\\\lgroup":[4,6,40,3,58],"\\\\rgroup":[5,6,41,3,59],"\\\\arrowvert','":[0,2,106,3,','60],"\\\\Arrowvert":[0,2,107,3,61],"\\\\bracevert',1161,'62],"\\\\Vert":[0,2,107,3,13],"\\\\|":[0,2,107,3,13],"\\\\vert',1161,'12],"\\\\uparrow":[3,2,34,3,120],"\\\\downarrow":[3,2,35,3,121],"\\\\updownarrow":[3,2,108,3,63],"\\\\Uparrow":[3,2,42,3,126],"\\\\Downarrow":[3,2,43,3,127],"\\\\Updownarrow":[3,2,109,3,119],"\\\\backslash":[',1159,'rangle":[5,2,105,3,11],"\\\\langle":[4,2,104,3,10],"\\\\rbrace":[5,2,103,3,9],"\\\\lbrace":[4,2,102,3,8],"\\\\}":[5,2,103,3,9],"\\\\{":[4,2,102,3,8],"\\\\rceil":[5,2,101,3,7],"\\\\lceil":[4,2,100,3,6],"\\\\rfloor":[5,2,99,3,5],"\\\\lfloor":[4,2,98,3,4],"\\\\lbrack":[0,0,91,3,2],"\\\\rbrack":[0,0,93,3,3]},macros:{displaystyle',':["HandleStyle","','D"],textstyle',1169,'T"],scriptstyle',1169,'S"],scriptscriptstyle',1169,'SS"],rm',':["HandleFont",','0],mit',1177,'1],oldstyle',1177,'1],cal',1177,'2],it',1177,'4],bf',1177,'6],left:"HandleLeft",right:"HandleRight",arcsin',':["NamedOp",0],','arccos',1189,'arctan',1189,'arg',1189,'cos',1189,'cosh',1189,'cot',1189,'coth',1189,'csc',1189,'deg',1189,'det',':"NamedOp",','dim',1189,'exp',1189,'gcd',1209,'hom',1189,'inf',1209,'ker',1189,'lg',1189,'lim',1209,'liminf',':["NamedOp",null,"lim','inf"],limsup',1227,'sup"],ln',1189,'log',1189,'max',1209,'min',1209,'Pr',1209,'sec',1189,'sin',1189,'sinh',1189,'sup',1209,'tan',1189,'tanh',1189,277,':["HandleAtom","',277,'"],',298,1253,298,'"],',332,1253,332,'"],over',':"HandleOver",','overwithdelims',1264,'atop',1264,'atopwithdelims',1264,'above',1264,'abovewithdelims',1264,'brace',':["HandleOver','","\\\\{","\\\\}"],brack',1276,'","[","]"],choose',1276,'","(",")"],overbrace',':["Extension","leaders"],','underbrace',1282,'overrightarrow',1282,'overleftarrow',1282,'overset',':["Extension","underset-overset"],','underset',1290,'llap',':"HandleLap",','rlap',1294,'ulap',1294,'dlap',1294,'raise:"RaiseLower",lower:"RaiseLower",moveleft',':"MoveLeftRight",','moveright',1302,'frac:"Frac",root:"Root",sqrt:"Sqrt",hbar',':["Macro","\\\\','hbarchar\\\\kern-.5em h"],ne',1306,'not="],neq',1306,'not="],notin',1306,'mathrel{\\\\','rlap{\\\\kern2mu/}}\\\\in"],cong',1306,1313,'lower2mu{\\\\','mathrel','{{\\\\rlap{=}\\\\raise6mu\\\\sim}}}}"],bmod',1306,'mathbin{\\\\rm mod}"],pmod',1306,'kern 18mu ({\\\\rm mod}\\\\,\\\\,#1)",1],"int":["Macro","\\\\intop\\\\nolimits"],oint',1306,'ointop\\\\nolimits"],doteq',1306,'buildrel\\\\textstyle.\\\\over="],ldots',1306,'mathinner{\\\\','ldotp\\\\ldotp\\\\ldotp}"],cdots',1306,1329,'cdotp\\\\cdotp\\\\cdotp}"],vdots',1306,1329,'rlap{\\\\raise8pt{.\\\\rule 0pt 6pt 0pt}}\\\\rlap{\\\\raise4pt{.}}.}"],ddots',1306,1329,'kern1mu\\\\raise7pt{\\\\rule 0pt 7pt 0pt .}\\\\kern2mu\\\\raise4pt{.}\\\\kern2mu\\\\raise1pt{.}\\\\kern1mu}"],joinrel',1306,1313,'kern-4mu}"],relbar',1306,1313,'smash-}"],','Relbar',1306,1318,'="],bowtie',1306,1318,'\\\\',1155,'\\\\joinrel\\\\',1318,'\\\\triangleleft"],models',1306,1318,'|\\\\joinrel="],mapsto',1306,'mapstochar\\\\','rightarrow"],rightleftharpoons',1306,277,'{\\\\',1313,'rlap{\\\\raise3mu{\\\\rightharpoonup}}}\\\\',1157,'}"],hookrightarrow',1306,'lhook\\\\','joinrel\\\\rightarrow"],','hookleftarrow',1306,'leftarrow\\\\joinrel\\\\','rhook"],Longrightarrow',1306,1346,1354,'Rightarrow"],','longrightarrow',1306,'relbar\\\\',1372,'longleftarrow',1306,1375,'relbar"],Longleftarrow',1306,'Leftarrow\\\\joinrel\\\\',1346,'"],longmapsto',1306,1361,'char{cmsy10}{0}\\\\',1372,'longleftrightarrow',1306,'leftarrow\\\\',1372,'Longleftrightarrow',1306,1390,1380,'iff:["Macro","\\\\;\\\\',1401,'\\\\;"],mathcal',':["Macro","{\\\\','cal #1}",1],mathrm',1408,'rm #1}",1],mathbf',1408,'bf #1}",1],','mathbb',1408,1413,'mathit',1408,'it #1}",1],textrm',1306,'mathord{\\\\hbox{#1}}",1],','textit',1306,'mathord{\\\\class{',1422,'}{\\\\hbox{#1}}}",1],','textbf',1306,1424,1427,1426,'TeX:["Macro","T\\\\kern-.1667em\\\\lower.5ex{E}\\\\kern-.125em X"],limits:["Limits",1],nolimits:["Limits",0],",":["Spacer",1/6],":":["Spacer",1/6],">":["Spacer",2/9],";":["Spacer",5/18],"!":["Spacer",-1/6],enspace',':["Spacer",','1/2],quad',1433,'1],qquad',1433,'2],thinspace',1433,'1/6],negthinspace:["Spacer",-1/6],hskip:"Hskip",kern:"Hskip",rule:["Rule","colored"],space:["Rule","blank"],big',':["MakeBig","','ord",0.85],Big',1441,'ord",1.','15],bigg',1441,1444,'45],Bigg',1441,1444,'75],bigl',1441,'open",0.85],Bigl',1441,'open",1.','15],biggl',1441,1455,'45],Biggl',1441,1455,'75],bigr',1441,'close",0.85],Bigr',1441,'close",1.','15],biggr',1441,1466,'45],Biggr',1441,1466,'75],bigm',1441,'rel",0.85],Bigm',1441,'rel",1.','15],biggm',1441,1477,'45],Biggm',1441,1477,'75],mathord',1253,'ord"],mathop',1253,'op"],mathopen',1253,'open"],mathclose',1253,'close"],mathbin',1253,'bin"],',1318,1253,'rel"],mathpunct',1253,220,'"],mathinner',1253,'inner"],','mathchoice',':["Extension","',1503,'"],buildrel:"BuildRel",hbox:"HBox",text:"HBox",mbox:"HBox",fbox',1504,'fbox"],strut:"Strut",mathstrut',1306,'vphantom{(}"],phantom',':["Phantom",','1,1],vphantom',1511,'1,0],hphantom',1511,'0,1],smash:"Smash",acute',':["MathAccent",[7,0,','19]],grave',1517,'18]],ddot',1517,'127]],tilde',1517,'126]],bar',1517,'22]],breve',1517,'21]],check',1517,'20]],hat',1517,'94]],vec',':["MathAccent",[0,','1,126]],dot',1517,'95]],widetilde',1533,'3,101]],widehat',1533,'3,98]],"_":["','Replace","ord','","_","normal",-0.4,0.1]," ":["',1541,'"," ","normal"],angle:["',1541,'","∠","normal"],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")","c"],cases:["Matrix","\\\\{",".",["l","l"]],cr:"HandleRow","\\\\":"HandleRow",begin:"Begin",end:"End",tiny',':["HandleSize",','0],Tiny',1547,'1],scriptsize',1547,'2],small',1547,'3],normalsize',1547,'4],large',1547,'5],Large:["HandleSize"'], [',6],LARGE',':["HandleSize",','7],huge',1,'8],Huge',1,'9],dots:["','Macro','","\\\\ldots"],','newcommand',':["Extension","',9,'"],def',10,9,'"],color',10,'HTML"],','href',10,'HTML"],"class":["','Extension','","',17,'style',10,17,'cssId',10,17,'unicode',10,17,'require:"','Require','","char":"Char"},','environments',':{array:"Array",','matrix',':["Array",null,null,"','c"],pmatrix:["Array","(",")","c"],bmatrix:["Array","[","]","c"],Bmatrix:["Array","\\\\{","\\\\}","c"],vmatrix:["Array","\\\\vert","\\\\vert","c"],Vmatrix:["Array","\\\\Vert","\\\\Vert","c"],cases:["Array","\\\\{",".","ll"],eqnarray',39,'rcl",[5/18,5/18],"D"]},AddSpecial',':function','(obj){','for(var id in obj){','jsMath.Parser.prototype','.special[',46,'[id]]=obj[id];}},Error',43,'(s){this.i=','this.string','.length;','if(s','.error){','this.error','=s.error;}','else{if(!','this',55,56,'=s;}}},nextIsSpace',43,'(){','return ','this.string.charAt(this.i',')==" ";},trimSpaces',43,'(text){','if(typeof (','text)!="string"){',65,'text;}',65,'text','.replace(/^\\s+|\\s','+/g,"");},','Process',43,'(arg','){var ','data=','this.mlist.','data;','arg=','jsMath.','Parse(arg,','data.font',',','data.size',',data.style',');if(arg',55,'this.Error(','arg);','return null',';}if(arg.mlist.Length()==','0){',96,97,'1',81,'atom=','arg.mlist.','Last();if','(atom','.atom&&','atom.type=="ord"&&atom.nuc&&!atom.sub&&!atom.sup&&(','atom.nuc.type=="','text"||',109,'TeX")){',65,'atom.nuc;}}return {type:"mlist",mlist:arg.mlist};},GetCommand',43,'(){var ','_296=/^([a-z]+|.) ?/i;var cmd=_296.exec(','this.string.slice(','this.i));','if(cmd){this.i+=cmd[1].length;',65,'cmd[1];}','this.Error("','Missing',' control sequnece name at end of string or',' argument','");',96,';},GetArgument',':function(name',',','_299){','while','(this.nextIsSpace()){this.i','++;}','if(this.','i>=',52,'.length){','if(!',132,123,124,126,' for "+','name);}',96,';}if(',66,')==','this.close){if','(!',132,123,'Extra close brace','");}',96,148,66,')==','this.cmd','){','this.i++;',65,161,'+','this.GetCommand','();}if(',66,')!=this.open','){return ',66,'++);}var j=++','this.i;var ','_29b=1;var c="";',133,'(this.i0){_2b1--;this.i+=2;}}}if(',381,'if(',118,393,'_2af.length)==_2af){c=',66,'+_2af.length);if(c.match(/[^a-z]/i)||!_2af.match(/[a-z]/i)){var ',85,118,'_2b0,this.i-1);this.i+=_2af',53,65,'arg;}}}this.i++;}}}}',123,359,' "+',161,'+_2af+" for "+',206,96,';},','ProcessUpto',130,',_2b5',81,85,'this.GetUpto','(name,_2b5);',207,208,209,'GetEnd',43,'(env',81,'body="";var name="";',133,'(name!=env){body+=',424,'("begin{"+env+"}","end");',207,208,'name=',205,161,'+"end");',207,271,65,'body;},Space',43,'(){},','Prime',43,'(c',81,'base=',83,105,'(base==null||(!base',107,'base.type!="','box"&&',459,'frac")){',454,'this.mlist.Add(jsMath.mItem.','Atom("ord",{type:null}));}','if(base.sup){',123,'Prime causes double exponent',': use braces to clarify");return',298,'sup="";',133,'(c=="\'"){sup+=',161,'+"prime";',332,'=="\'"){this.i++;}}','base.sup=this.',78,'(sup);','base.sup.isPrime','=1;},RaiseLower',130,81,'h','=this.GetDimen(this.cmd+name',',1);',207,298,'box','=this.ProcessArg(',363,207,148,'name=="lower"){h=-h;}',83,'Add(new jsMath.mItem("','raise",{nuc:box,raise:h}));},MoveLeftRight',130,81,'x',486,487,207,298,'box',491,363,207,148,'name=="moveleft"){x=-x;}',464,'Space(x));',464,'Atom("ord",box));',464,'Space(-x));},',34,130,81,'file=',205,363,207,';}file=',86,21,'.URL(file);if(','jsMath.Setup.','loaded[file',']){','return;}','this.',21,'(null,[','file]);},',21,130,',data){','jsMath.Translate','.restart=1;if(name','!=null){','delete ',46,'[data[1]||"macros"][name];}','jsMath.Script.','Start();',86,21,'.',34,'(data[0],',540,'.asynchronous',');throw "restart";},Frac',130,81,'num',491,363,207,298,'den',491,363,207,';}',464,'Fraction("over",num,den));},Sqrt',130,81,'n=',237,363,207,298,'arg',491,363,207,';}box=jsMath.mItem.Atom("radical",arg);',136,'n!=""){box.root=this.',78,'(n);',207,';}}',83,'Add(box);},','Root',130,81,'n=this.',419,'(',161,'+name,"of");',207,298,'arg',491,363,207,581,'box.root=n;',83,589,'BuildRel',130,81,'top=this.',419,'(',161,'+name,"over");',207,298,'bot',491,363,207,298,'op=',86,'mItem.Atom("','op",bot);op.limits=1;op.sup=top;',83,'Add(op);},MakeBig',130,',data){var ','type=data[0];var h=data[1]*',86,'p_height;var _2d8=this.',255,'(',363,207,';}',464,'Atom(type,',86,'Box.Delimiter(h,_2d8,"T")));},Char',130,81,'font=',205,363,207,298,'n=',205,363,207,';}if(!','jsMath.TeX[font',']){',655,']=[];this.',21,535,'jsMath.Font.URL(font',')]);}else{',464,'Typeset(',86,'Box.TeX(n-0,font,"T",',83,90,')));}},Matrix',130,',_2dd',81,'data=',83,84,'var ',85,205,363,207,298,'_2e0','=new jsMath.Parser(arg','+"\\\\\\\\",null,',90,');_2e0.',38,'=name;_2e0.row=[];_2e0.table=[];_2e0.Parse();if(_2e0',55,94,'_2e0);',532,'_2e0','.HandleRow(name,1);var box=jsMath.Box.Layout(data.size,','_2e0.table,_2dd[2]);if(_2dd[0]&&_2dd[1]){var left','=jsMath.Box.Delimiter(box.h+box.d,this.delimiter[','_2dd[0]],"T");var _2e3',696,'_2dd','[1]],"T");box=jsMath.Box.SetList([left,box,','_2e3],','data.style,data.size',');}',464,'Atom((_2dd','[0]?"inner":"ord"),box));},','HandleEntry',130,'){','if(!this.',38,'){',94,'name+" can only appear in a matrix or array");return;}','if(',83,'data.openI',542,'var open=',83,'Get(',83,717,');if(open','.left){',123,124,' "+',161,'+"right','");}else{',123,198,'");}}if(',83,'data.overI',542,83,'Over();}var data=',83,84,83,'Atomize(',702,');var box=',83,664,702,');this.row[','this.row.length',']=box;this.mlist=new ',86,'mList(null,null,',90,91,');},HandleRow',130,',last){',710,38,'){',94,161,'+',714,'this.',707,'(',206,'if(!last||',750,'>1||this.row[0].format!="null"){this.table[this.table.length]=this.row;}this.row=[];},Array',130,',_2eb',81,'_2ec=_2eb[2];var _2ed=_2eb[3];if(!_2ec){_2ec=',205,161,'+"begin{"+name+"}");',207,';}}_2ec=_2ec.replace(/[^clr]/g,"");_2ec=_2ec.split("");var data=',83,84,'var _2ef=_2eb[4]||"T";var ',85,'this.GetEnd(',206,207,298,'_2f1',683,'+',161,'+"\\\\",null,',90,',_2ef);_2f1.',38,'=name;_2f1.row=[];_2f1.table=[];_2f1.Parse();if(_2f1',55,94,'_2f1);',532,'_2f1',694,'_2f1.table,_2ec,_2ed);if(_2eb[0]&&_2eb[1]){var left',696,'_2eb[0]],"T");var _2f4',696,'_2eb',700,'_2f4],',702,');}',464,'Atom((_2eb',706,'Begin',130,81,'env=',205,363,207,148,'env.match(/[^a-z*]/i)){',123,'Invalid',' environment',' name',' \\""+env+"\\"");return;}',710,36,'[env]){',123,'Unknown',828,830,'var cmd=this.',36,'[env];',70,'cmd',')=="string"){','cmd=[cmd];}this[cmd[0]](env,cmd.slice(1));},End',130,81,'env=',205,363,207,';}',94,161,'+name+"{"+env+"} without matching "+',161,'+"begin");},Spacer',130,',w){',464,'Space(w-0));},Hskip',130,81,'w=this.GetDimen(',363,207,';}',464,'Space(w));},HBox',130,81,'text=',205,363,207,';}','var box=jsMath.','Box.InternalMath(text,',83,90,');',464,664,'box));},Rule',130,',_302',81,'w',486,487,207,298,'h',486,487,207,298,'d',486,487,207,';}h+=d;var html;if(h!=0){h=Math.max(1.05/',86,'em,h);}if(h==0||w==0||_302=="blank"){html=','jsMath.HTML.','Blank(w,h);}else{html=',904,'Rule(w,h);}if(d){html','=""+html','+"";}',464,664,'new ',86,'Box("html",html,w,h-d,d)));},Strut',43,116,'size=',83,90,';',876,'Box.Text("","normal","T",size).Styled();box.bh=box.bd=0;box.h=0.8;box.d=0.3;box.w=0;',464,664,'box));},Phantom',130,630,'arg',491,363,207,';}',83,497,'phantom",{phantom:arg,v:data[0],h:data[1]}));},Smash',130,630,'arg',491,363,207,';}',83,497,'smash",{smash:arg}));},MathAccent',130,',_310',81,'c',491,363,207,298,103,86,625,'accent",c);atom.accent=_310[0];',83,'Add(atom);},NamedOp',130,630,'a=(name.match(/[^acegm-su-z]/))?1:0;var d=(name.match(/[gjpqy]/))?0.2:0;if(data[1]){name=data[1];}',876,'mItem.TextAtom("op",name,"cmr10",a,d);if(data[0]!=null){box.limits=data[0];}',83,589,'Limits',130,630,103,83,105,'(!atom||atom.type!="op"){',94,161,'+name+" is allowed only on operators");',532,'atom.limits=data[0];},',7,130,630,'text=data[0];if(data[1]){var args=[];','for(var i=0;i<','data[1];i++){args[args.length]=',205,363,207,';}}','text=this.','SubstituteArgs','(args,text);}',52,'=','this.AddArgs(','text,',118,119,'this.i=0;},',993,43,'(args,_321',81,'text="";var _323="";var c;var i','=0;while(i<','_321',139,'c=','_321.charAt(i','++);',181,'text+=c+',1011,'++);}else{if(c=="#"){c=',1011,'++);if(c=="#"){text+=c;}',58,'c.match(/[1-9]/)||c>args',139,123,'Illegal macro parameter reference");',532,'_323=',997,997,'_323,text','),args[c-1]);text="";}}else{text+=c;}}}',65,997,1028,');},AddArgs',43,'(s1,s2){if(s2.match(/^[a-z]/i)&&s1.match(/(^|[^\\\\])(\\\\\\\\)*\\\\[a-z]+$/i)){s1+=" ";}',65,'s1+s2;},Replace',130,539,464,'TextAtom',552,'data[1],data[2],data[3]));},Tilde',130,'){',464,'TextAtom("ord','"," ","normal"));},HandleLap',130,81,'box=this.ProcessArg();',207,';}box=',83,497,'lap",{nuc:box,lap:name}));},HandleAtom',130,630,'arg',491,363,207,';}',464,'Atom(data,arg));},HandleMathCode',130,',code','){this.HandleTeXchar(','code[0],code[1],code[2]);},HandleTeXchar',43,'(type,font,code){if(type==7&&',83,88,542,645,83,88,';}',645,316,'fam[font];if(!',655,']){',655,']=[];this.',21,535,661,')]);}else{',464,'TeXAtom(',316,'atom[type],code,font));}},','HandleVariable',43,'(c',1068,'7,1',',c.charCodeAt(0));},','HandleNumber',43,'(c',1068,'7,0',1099,'HandleOther',43,'(c){',464,1047,'",c,"normal"));},HandleComment',43,116,'c;',133,177,'c=',66,'++);if(c=="\\r"||c=="\\n"){return;}}},HandleStyle',130,',_33a){',83,'data.style=_33a[0];',83,497,'style",{style:_33a[0]}));},HandleSize',130,',size){',83,90,'=size[0];',83,497,'size",{size:size[0]}));},HandleFont',130,',font){',83,88,'=font[0];},HandleCS',43,116,'cmd=',167,'();',207,';}',136,'macros[cmd]){var _340=this.macros[cmd];',70,'_340',843,'_340=[_340];}this[_340[0]](cmd,_340.slice(1));',532,136,'mathchardef[cmd',']){this.HandleMathCode(','cmd,this.',1155,']);',532,'if(',273,161,'+cmd',1156,'cmd,',273,161,'+cmd].slice(0,3));',532,123,'Unknown control sequence \'"+',161,'+cmd+"\'");},HandleOpen',43,'(){',83,'Open();},HandleClose',43,'(){if(',83,717,'==null){',123,155,'");',532,'var open=',83,'Get(',83,717,');if(!open||','open.left',1183,83,'Close();}else{',123,155,' or missing "+',161,730,'");return;}},HandleLeft',130,81,'left=this.',255,'(',363,207,';}',83,'Open(left);},HandleRight',130,81,'_345=this.',255,'(',363,207,298,'open=',83,'Get(',83,717,724,'&&',1194,542,83,'Close(_345);}else{',123,'Extra open brace or missing "+',161,'+"left");}},HandleOver',130,539,'if(',83,736,542,123,'Ambiguous use of "+',363,532,83,736,'=',83,'Length();',83,'data.overF={name:name};if(data.length>0){',83,'data.overF.','left=',273,'data[0]];',83,1255,'right=',273,'data[1]];}else{if(name.match(/withdelims$/)){',83,1255,1206,255,'(',363,207,';}',83,1255,1261,'this.',255,'(',363,207,';}}else{',83,1255,'left=null;',83,1255,1261,'null;}}if(name.match(/^above/)){',83,1255,'thickness=','this.GetDimen(',161,'.name',487,207,1280,83,1255,1290,'null;}},HandleSuperscript',43,116,454,83,105,'(base==null||(!base',107,459,'box"&&',459,'frac")){',454,464,465,466,'if(',481,'){',454,464,465,'else{',123,'Double exponent',469,';}}',478,210,'("superscript");',207,';}},HandleSubscript',43,116,454,83,105,'(base==null||(!base',107,459,'box"&&',459,'frac")){',454,464,465,'if(base.sub){',123,'Double subscripts',469,';}base.sub=this.',210,'("subscript");',207,';}},Parse',43,116,'c;',133,177,'c=',66,'++);',136,'mathchar[c',1156,'c,this.',1364,']);}else{',136,'special[c]){this[this',47,'c]](c);}else{',136,'letter','.test(c)){this.',1094,'(c);}else{',136,'number',1375,1100,1377,'this.',1106,'(c);}}}}}if(',83,717,542,'var open=',83,'Get(',83,717,724,'.left){',123,124,' "+',161,730,731,123,198,'");}}if(',83,736,542,83,'Over();}},Atomize',43,116,'data=',83,'init;if(!this',55,83,743,702,');}},Typeset',43,116,'data=',83,'init;var box=this.typeset=',83,664,702,');',207,' ""+',56,912,'if(box.format=="null"){return "";}box.Styled().Remeasured();var _350=0;var _351','=0;if(box.bh>','box.h&&box.bh>',86,'h','+0.001){_350=1;}if(box.','bd>box.d&&box.bd>',86,'d',1438,'h>',86,'h||box.d>',86,'d){_351=1',298,'html=box.html;if(_350){if(','jsMath.Browser.','allowAbsolute',81,'y',1434,86,'h+0.001){y=',86,'h-box.bh;}html=',904,'Absolute(html,box.w,',86,'h,0,y,',86,'h);}',58,1450,'valignBug',81,'dy=',904,'Em(Math.max(0,box.bd-',86,'hd)/3);html',908,'line-height: 0px;"+" position:relative; top:"+dy+"; ',909,'dy+"\\">"+html+"";}}_351=1',148,'_351){html+=',904,'Blank(0,box.h+0.05,box.d+0.05);}return ""+html+"";}});',46,'.AddSpecial({cmd:"HandleCS",open:"HandleOpen",close:"HandleClose"});','jsMath.Add(jsMath,{',7,130,81,'_356=',46,'.macros;','_356','[name]=["',7,'"];for(var i=1;i=0){','text=text.replace(/&','lt;/g,"<");',1638,'gt;/g,">");',1638,'quot;/g,"\\"");',1638,'amp;/g,"&");}',65,'text;},',1636,43,'(_374){if(','_374.nodeValue','!=null',171,1651,148,'_374.childNodes','.length==0){return " ";}var text="";',986,1656,53,'i++){text+=this.',1636,'(',1656,'[i]);}',65,1647,'ResetHidden',43,'(_377){_377.innerHTML',908,'visibility: hidden; position:absolute; top:0px;left:0px;\\">"+',1450,'operaHiddenFix;_377.className="";',86,'hidden=_377.firstChild;if(!',86,'BBoxFor("x").w){','jsMath.hidden=jsMath.hiddenTop',';}',86,'ReInit();},','ConvertText',43,'(_378','){var text=this.GetElementText(','_378',');this.ResetHidden(','_378);',992,'TextMode(text);_378','.className="typeset";','_378','.innerHTML=text;},','ConvertDisplay',43,'(_37a',1686,'_37a',1688,'_37a);',992,1620,'(text);_37a',1692,'_37a',1694,'ProcessElement',43,'(_37c){this.restart=0;try','{if(_37c.tagName.toLowerCase()=="','div"){this.',1695,'(_37c);_37c.onclick=jsMath.Click.CheckClick;_37c.ondblclick=jsMath.Click.CheckDblClick',';}else',1711,'span"){this.',1683,1714,';}}}catch(err){if(_37c.alt',81,'tex=_37c.alt;','tex=tex.replace','(/&/g,"&");',1723,'(//g,">");_37c.innerHTML=tex;}',1679,';}},','ProcessElements',43,'(k){',546,'blocking=','1;if(k>=','this.element.length','||this.cancel){this.','ProcessComplete','();',136,'cancel){','jsMath.Message.','Set("',78,' Math: Canceled");',1743,'Clear();}',546,1735,'0;',546,78,'();}else{','this.ProcessElement(this.element[','k]);',136,'restart){',546,1588,'this,"',1731,'",k);',546,1735,'0;setTimeout("',546,78,'()",',1450,'delay);}else{k++;var p=Math.floor(100*k/',1737,');','jsMath.Message.Set("Processing Math',': "+p+"%");setTimeout("',540,'.',1731,'("+k+")",',1450,'delay);}}},',1591,43,'(obj','){if(!jsMath.initialized){jsMath.Init();}this.element=this.GetMathElements(obj);','this.cancel=0;this',554,'=1;',546,1735,'1;',1774,': 0%",1);setTimeout("',540,'.',1731,'(0)",',1450,'delay);},',1602,43,'(obj,i){if(i==null',1785,'i=0;}this',554,1007,1737,'){',1755,'i]);',136,'restart){',86,'Synchronize','("',540,'.',1602,'(null,"+i+")");',546,78,'();',532,'i++;}this.',1739,'(1);},GetMathElements',43,'(obj',81,'_384=[];if(!obj){obj=','jsMath.document',148,'typeof (obj',843,'obj=',1831,'.getElementById(obj);}if(!','obj.getElementsByTagName','){',96,298,'math=',1838,'("div','");for(var k=0;k=0;i--){_38b[i].removeAttribute("name");}}',1679,';this.element=[];if(!_38a){',1774,': Done");',1743,'Clear();}',1743,'UnBlank();if(',1450,'safariImgBug&&(',1598,'font=="symbol"||',1598,'font=="image")){',136,'timeout){clearTimeout(this.timeout);}this.timeout=setTimeout("','jsMath.window.resizeBy','(-1,0); "+"',1899,'(1,0); "+"',540,'.timeout = null",2000);}},Cancel',43,'(){',540,'.cancel=1;if(',546,'cancelTimer){',546,'cancelLoad();}}};',1484,'ConvertTeX',43,'(_38d){',546,'Push(jsMath.tex2math,"',1914,'",_38d);},','ConvertTeX2',43,'(_38e){',546,1918,1921,'",_38e);},','ConvertLaTeX',43,'(_38f){',546,1918,1928,'",_38f);},','ConvertCustom',43,'(_390){',546,1918,1935,'",_390);},','CustomSearch',43,'(om,cm,od,cd','){',546,1588,'null,function(){',86,'tex2math.',1942,1944,');});},tex2math:{',1914,43,449,1921,43,449,1928,43,449,1935,43,449,1942,43,'(){}}});',86,1814,'=',546,1814,';if(','window.parent','!=window){',1975,'.jsMath=jsMath;',1831,'=',1975,'.document;',86,'window=',1975,';}',86,'Loaded();',86,'Controls.GetCookie();',529,'Source();',546,'Init();',529,'Fonts();if(',1831,'.body){jsMath.Setup.Body();}}}'] ]); //end = new Date().getTime(); //alert(end-start);