/* LaTeXMathML.js from http://math.etsu.edu/LaTeXMathML/ Adapted by Jeff Knisely and Douglas Woodall from ASCIIMathML.js v. 1.4.7, (c) 2005 Peter Jipsen http://www.chapman.edu/~jipsen. Released under the GNU General Public License version 2 or later. See the GNU General Public License (at http://www.gnu.org/copyleft/gpl.html) for more details. */ var checkForMathML=true;var notifyIfNoMathML=true;var alertIfNoMathML=false;var mathcolor="";var mathfontfamily="";var showasciiformulaonhover=true;var isIE=document.createElementNS==null;if(document.getElementById==null) alert("This webpage requires a recent browser such as \nMozilla/Netscape 7+ or Internet Explorer 6+MathPlayer") function AMcreateElementXHTML(t){if(isIE)return document.createElement(t);else return document.createElementNS("http://www.w3.org/1999/xhtml",t);} function AMnoMathMLNote(){var nd=AMcreateElementXHTML("h3");nd.setAttribute("align","center") nd.appendChild(AMcreateElementXHTML("p"));nd.appendChild(document.createTextNode("To view the "));var an=AMcreateElementXHTML("a");an.appendChild(document.createTextNode("LaTeXMathML"));an.setAttribute("href","http://www.maths.nott.ac.uk/personal/drw/lm.html");nd.appendChild(an);nd.appendChild(document.createTextNode(" notation use Internet Explorer 6+"));an=AMcreateElementXHTML("a");an.appendChild(document.createTextNode("MathPlayer"));an.setAttribute("href","http://www.dessci.com/en/products/mathplayer/download.htm");nd.appendChild(an);nd.appendChild(document.createTextNode(" or Netscape/Mozilla/Firefox"));nd.appendChild(AMcreateElementXHTML("p"));return nd;} function AMisMathMLavailable(){if(navigator.appName.slice(0,8)=="Netscape") if(navigator.appVersion.slice(0,1)>="5")return null;else return AMnoMathMLNote();else if(navigator.appName.slice(0,9)=="Microsoft") try{var ActiveX=new ActiveXObject("MathPlayer.Factory.1");return null;}catch(e){return AMnoMathMLNote();} else return AMnoMathMLNote();} var AMcal=[0xEF35,0x212C,0xEF36,0xEF37,0x2130,0x2131,0xEF38,0x210B,0x2110,0xEF39,0xEF3A,0x2112,0x2133,0xEF3B,0xEF3C,0xEF3D,0xEF3E,0x211B,0xEF3F,0xEF40,0xEF41,0xEF42,0xEF43,0xEF44,0xEF45,0xEF46];var AMfrk=[0xEF5D,0xEF5E,0x212D,0xEF5F,0xEF60,0xEF61,0xEF62,0x210C,0x2111,0xEF63,0xEF64,0xEF65,0xEF66,0xEF67,0xEF68,0xEF69,0xEF6A,0x211C,0xEF6B,0xEF6C,0xEF6D,0xEF6E,0xEF6F,0xEF70,0xEF71,0x2128];var AMbbb=[0xEF8C,0xEF8D,0x2102,0xEF8E,0xEF8F,0xEF90,0xEF91,0x210D,0xEF92,0xEF93,0xEF94,0xEF95,0xEF96,0x2115,0xEF97,0x2119,0x211A,0x211D,0xEF98,0xEF99,0xEF9A,0xEF9B,0xEF9C,0xEF9D,0xEF9E,0x2124];var CONST=0,UNARY=1,BINARY=2,INFIX=3,LEFTBRACKET=4,RIGHTBRACKET=5,SPACE=6,UNDEROVER=7,DEFINITION=8,TEXT=9,BIG=10,LONG=11,STRETCHY=12,MATRIX=13;var AMsqrt={input:"\\sqrt",tag:"msqrt",output:"sqrt",ttype:UNARY},AMroot={input:"\\root",tag:"mroot",output:"root",ttype:BINARY},AMfrac={input:"\\frac",tag:"mfrac",output:"/",ttype:BINARY},AMover={input:"\\stackrel",tag:"mover",output:"stackrel",ttype:BINARY},AMatop={input:"\\atop",tag:"mfrac",output:"",ttype:INFIX},AMchoose={input:"\\choose",tag:"mfrac",output:"",ttype:INFIX},AMsub={input:"_",tag:"msub",output:"_",ttype:INFIX},AMsup={input:"^",tag:"msup",output:"^",ttype:INFIX},AMtext={input:"\\mathrm",tag:"mtext",output:"text",ttype:TEXT},AMmbox={input:"\\mbox",tag:"mtext",output:"mbox",ttype:TEXT};var AMsymbols=[{input:"\\alpha",tag:"mi",output:"\u03B1",ttype:CONST},{input:"\\beta",tag:"mi",output:"\u03B2",ttype:CONST},{input:"\\gamma",tag:"mi",output:"\u03B3",ttype:CONST},{input:"\\delta",tag:"mi",output:"\u03B4",ttype:CONST},{input:"\\epsilon",tag:"mi",output:"\u03B5",ttype:CONST},{input:"\\varepsilon",tag:"mi",output:"\u025B",ttype:CONST},{input:"\\zeta",tag:"mi",output:"\u03B6",ttype:CONST},{input:"\\eta",tag:"mi",output:"\u03B7",ttype:CONST},{input:"\\theta",tag:"mi",output:"\u03B8",ttype:CONST},{input:"\\vartheta",tag:"mi",output:"\u03D1",ttype:CONST},{input:"\\iota",tag:"mi",output:"\u03B9",ttype:CONST},{input:"\\kappa",tag:"mi",output:"\u03BA",ttype:CONST},{input:"\\lambda",tag:"mi",output:"\u03BB",ttype:CONST},{input:"\\mu",tag:"mi",output:"\u03BC",ttype:CONST},{input:"\\nu",tag:"mi",output:"\u03BD",ttype:CONST},{input:"\\xi",tag:"mi",output:"\u03BE",ttype:CONST},{input:"\\pi",tag:"mi",output:"\u03C0",ttype:CONST},{input:"\\varpi",tag:"mi",output:"\u03D6",ttype:CONST},{input:"\\rho",tag:"mi",output:"\u03C1",ttype:CONST},{input:"\\varrho",tag:"mi",output:"\u03F1",ttype:CONST},{input:"\\varsigma",tag:"mi",output:"\u03C2",ttype:CONST},{input:"\\sigma",tag:"mi",output:"\u03C3",ttype:CONST},{input:"\\tau",tag:"mi",output:"\u03C4",ttype:CONST},{input:"\\upsilon",tag:"mi",output:"\u03C5",ttype:CONST},{input:"\\phi",tag:"mi",output:"\u03C6",ttype:CONST},{input:"\\varphi",tag:"mi",output:"\u03D5",ttype:CONST},{input:"\\chi",tag:"mi",output:"\u03C7",ttype:CONST},{input:"\\psi",tag:"mi",output:"\u03C8",ttype:CONST},{input:"\\omega",tag:"mi",output:"\u03C9",ttype:CONST},{input:"\\Gamma",tag:"mo",output:"\u0393",ttype:CONST},{input:"\\Delta",tag:"mo",output:"\u0394",ttype:CONST},{input:"\\Theta",tag:"mo",output:"\u0398",ttype:CONST},{input:"\\Lambda",tag:"mo",output:"\u039B",ttype:CONST},{input:"\\Xi",tag:"mo",output:"\u039E",ttype:CONST},{input:"\\Pi",tag:"mo",output:"\u03A0",ttype:CONST},{input:"\\Sigma",tag:"mo",output:"\u03A3",ttype:CONST},{input:"\\Upsilon",tag:"mo",output:"\u03A5",ttype:CONST},{input:"\\Phi",tag:"mo",output:"\u03A6",ttype:CONST},{input:"\\Psi",tag:"mo",output:"\u03A8",ttype:CONST},{input:"\\Omega",tag:"mo",output:"\u03A9",ttype:CONST},{input:"\\frac12",tag:"mo",output:"\u00BD",ttype:CONST},{input:"\\frac14",tag:"mo",output:"\u00BC",ttype:CONST},{input:"\\frac34",tag:"mo",output:"\u00BE",ttype:CONST},{input:"\\frac13",tag:"mo",output:"\u2153",ttype:CONST},{input:"\\frac23",tag:"mo",output:"\u2154",ttype:CONST},{input:"\\frac15",tag:"mo",output:"\u2155",ttype:CONST},{input:"\\frac25",tag:"mo",output:"\u2156",ttype:CONST},{input:"\\frac35",tag:"mo",output:"\u2157",ttype:CONST},{input:"\\frac45",tag:"mo",output:"\u2158",ttype:CONST},{input:"\\frac16",tag:"mo",output:"\u2159",ttype:CONST},{input:"\\frac56",tag:"mo",output:"\u215A",ttype:CONST},{input:"\\frac18",tag:"mo",output:"\u215B",ttype:CONST},{input:"\\frac38",tag:"mo",output:"\u215C",ttype:CONST},{input:"\\frac58",tag:"mo",output:"\u215D",ttype:CONST},{input:"\\frac78",tag:"mo",output:"\u215E",ttype:CONST},{input:"\\pm",tag:"mo",output:"\u00B1",ttype:CONST},{input:"\\mp",tag:"mo",output:"\u2213",ttype:CONST},{input:"\\triangleleft",tag:"mo",output:"\u22B2",ttype:CONST},{input:"\\triangleright",tag:"mo",output:"\u22B3",ttype:CONST},{input:"\\cdot",tag:"mo",output:"\u22C5",ttype:CONST},{input:"\\star",tag:"mo",output:"\u22C6",ttype:CONST},{input:"\\ast",tag:"mo",output:"\u002A",ttype:CONST},{input:"\\times",tag:"mo",output:"\u00D7",ttype:CONST},{input:"\\div",tag:"mo",output:"\u00F7",ttype:CONST},{input:"\\circ",tag:"mo",output:"\u2218",ttype:CONST},{input:"\\bullet",tag:"mo",output:"\u2022",ttype:CONST},{input:"\\oplus",tag:"mo",output:"\u2295",ttype:CONST},{input:"\\ominus",tag:"mo",output:"\u2296",ttype:CONST},{input:"\\otimes",tag:"mo",output:"\u2297",ttype:CONST},{input:"\\bigcirc",tag:"mo",output:"\u25CB",ttype:CONST},{input:"\\oslash",tag:"mo",output:"\u2298",ttype:CONST},{input:"\\odot",tag:"mo",output:"\u2299",ttype:CONST},{input:"\\land",tag:"mo",output:"\u2227",ttype:CONST},{input:"\\wedge",tag:"mo",output:"\u2227",ttype:CONST},{input:"\\lor",tag:"mo",output:"\u2228",ttype:CONST},{input:"\\vee",tag:"mo",output:"\u2228",ttype:CONST},{input:"\\cap",tag:"mo",output:"\u2229",ttype:CONST},{input:"\\cup",tag:"mo",output:"\u222A",ttype:CONST},{input:"\\sqcap",tag:"mo",output:"\u2293",ttype:CONST},{input:"\\sqcup",tag:"mo",output:"\u2294",ttype:CONST},{input:"\\uplus",tag:"mo",output:"\u228E",ttype:CONST},{input:"\\amalg",tag:"mo",output:"\u2210",ttype:CONST},{input:"\\bigtriangleup",tag:"mo",output:"\u25B3",ttype:CONST},{input:"\\bigtriangledown",tag:"mo",output:"\u25BD",ttype:CONST},{input:"\\dag",tag:"mo",output:"\u2020",ttype:CONST},{input:"\\dagger",tag:"mo",output:"\u2020",ttype:CONST},{input:"\\ddag",tag:"mo",output:"\u2021",ttype:CONST},{input:"\\ddagger",tag:"mo",output:"\u2021",ttype:CONST},{input:"\\lhd",tag:"mo",output:"\u22B2",ttype:CONST},{input:"\\rhd",tag:"mo",output:"\u22B3",ttype:CONST},{input:"\\unlhd",tag:"mo",output:"\u22B4",ttype:CONST},{input:"\\unrhd",tag:"mo",output:"\u22B5",ttype:CONST},{input:"\\sum",tag:"mo",output:"\u2211",ttype:UNDEROVER},{input:"\\prod",tag:"mo",output:"\u220F",ttype:UNDEROVER},{input:"\\bigcap",tag:"mo",output:"\u22C2",ttype:UNDEROVER},{input:"\\bigcup",tag:"mo",output:"\u22C3",ttype:UNDEROVER},{input:"\\bigwedge",tag:"mo",output:"\u22C0",ttype:UNDEROVER},{input:"\\bigvee",tag:"mo",output:"\u22C1",ttype:UNDEROVER},{input:"\\bigsqcap",tag:"mo",output:"\u2A05",ttype:UNDEROVER},{input:"\\bigsqcup",tag:"mo",output:"\u2A06",ttype:UNDEROVER},{input:"\\coprod",tag:"mo",output:"\u2210",ttype:UNDEROVER},{input:"\\bigoplus",tag:"mo",output:"\u2A01",ttype:UNDEROVER},{input:"\\bigotimes",tag:"mo",output:"\u2A02",ttype:UNDEROVER},{input:"\\bigodot",tag:"mo",output:"\u2A00",ttype:UNDEROVER},{input:"\\biguplus",tag:"mo",output:"\u2A04",ttype:UNDEROVER},{input:"\\int",tag:"mo",output:"\u222B",ttype:CONST},{input:"\\oint",tag:"mo",output:"\u222E",ttype:CONST},{input:":=",tag:"mo",output:":=",ttype:CONST},{input:"\\lt",tag:"mo",output:"<",ttype:CONST},{input:"\\gt",tag:"mo",output:">",ttype:CONST},{input:"\\ne",tag:"mo",output:"\u2260",ttype:CONST},{input:"\\neq",tag:"mo",output:"\u2260",ttype:CONST},{input:"\\le",tag:"mo",output:"\u2264",ttype:CONST},{input:"\\leq",tag:"mo",output:"\u2264",ttype:CONST},{input:"\\leqslant",tag:"mo",output:"\u2264",ttype:CONST},{input:"\\ge",tag:"mo",output:"\u2265",ttype:CONST},{input:"\\geq",tag:"mo",output:"\u2265",ttype:CONST},{input:"\\geqslant",tag:"mo",output:"\u2265",ttype:CONST},{input:"\\equiv",tag:"mo",output:"\u2261",ttype:CONST},{input:"\\ll",tag:"mo",output:"\u226A",ttype:CONST},{input:"\\gg",tag:"mo",output:"\u226B",ttype:CONST},{input:"\\doteq",tag:"mo",output:"\u2250",ttype:CONST},{input:"\\prec",tag:"mo",output:"\u227A",ttype:CONST},{input:"\\succ",tag:"mo",output:"\u227B",ttype:CONST},{input:"\\preceq",tag:"mo",output:"\u227C",ttype:CONST},{input:"\\succeq",tag:"mo",output:"\u227D",ttype:CONST},{input:"\\subset",tag:"mo",output:"\u2282",ttype:CONST},{input:"\\supset",tag:"mo",output:"\u2283",ttype:CONST},{input:"\\subseteq",tag:"mo",output:"\u2286",ttype:CONST},{input:"\\supseteq",tag:"mo",output:"\u2287",ttype:CONST},{input:"\\sqsubset",tag:"mo",output:"\u228F",ttype:CONST},{input:"\\sqsupset",tag:"mo",output:"\u2290",ttype:CONST},{input:"\\sqsubseteq",tag:"mo",output:"\u2291",ttype:CONST},{input:"\\sqsupseteq",tag:"mo",output:"\u2292",ttype:CONST},{input:"\\sim",tag:"mo",output:"\u223C",ttype:CONST},{input:"\\simeq",tag:"mo",output:"\u2243",ttype:CONST},{input:"\\approx",tag:"mo",output:"\u2248",ttype:CONST},{input:"\\cong",tag:"mo",output:"\u2245",ttype:CONST},{input:"\\Join",tag:"mo",output:"\u22C8",ttype:CONST},{input:"\\bowtie",tag:"mo",output:"\u22C8",ttype:CONST},{input:"\\in",tag:"mo",output:"\u2208",ttype:CONST},{input:"\\ni",tag:"mo",output:"\u220B",ttype:CONST},{input:"\\owns",tag:"mo",output:"\u220B",ttype:CONST},{input:"\\propto",tag:"mo",output:"\u221D",ttype:CONST},{input:"\\vdash",tag:"mo",output:"\u22A2",ttype:CONST},{input:"\\dashv",tag:"mo",output:"\u22A3",ttype:CONST},{input:"\\models",tag:"mo",output:"\u22A8",ttype:CONST},{input:"\\perp",tag:"mo",output:"\u22A5",ttype:CONST},{input:"\\smile",tag:"mo",output:"\u2323",ttype:CONST},{input:"\\frown",tag:"mo",output:"\u2322",ttype:CONST},{input:"\\asymp",tag:"mo",output:"\u224D",ttype:CONST},{input:"\\notin",tag:"mo",output:"\u2209",ttype:CONST},{input:"\\begin{eqnarray}",output:"X",ttype:MATRIX,invisible:true},{input:"\\begin{array}",output:"X",ttype:MATRIX,invisible:true},{input:"\\\\",output:"}&{",ttype:DEFINITION},{input:"\\end{eqnarray}",output:"}}",ttype:DEFINITION},{input:"\\end{array}",output:"}}",ttype:DEFINITION},{input:"\\big",tag:"mo",output:"X",atval:"1.2",ieval:"2.2",ttype:BIG},{input:"\\Big",tag:"mo",output:"X",atval:"1.6",ieval:"2.6",ttype:BIG},{input:"\\bigg",tag:"mo",output:"X",atval:"2.2",ieval:"3.2",ttype:BIG},{input:"\\Bigg",tag:"mo",output:"X",atval:"2.9",ieval:"3.9",ttype:BIG},{input:"\\left",tag:"mo",output:"X",ttype:LEFTBRACKET},{input:"\\right",tag:"mo",output:"X",ttype:RIGHTBRACKET},{input:"{",output:"{",ttype:LEFTBRACKET,invisible:true},{input:"}",output:"}",ttype:RIGHTBRACKET,invisible:true},{input:"(",tag:"mo",output:"(",atval:"1",ttype:STRETCHY},{input:"[",tag:"mo",output:"[",atval:"1",ttype:STRETCHY},{input:"\\lbrack",tag:"mo",output:"[",atval:"1",ttype:STRETCHY},{input:"\\{",tag:"mo",output:"{",atval:"1",ttype:STRETCHY},{input:"\\lbrace",tag:"mo",output:"{",atval:"1",ttype:STRETCHY},{input:"\\langle",tag:"mo",output:"\u2329",atval:"1",ttype:STRETCHY},{input:"\\lfloor",tag:"mo",output:"\u230A",atval:"1",ttype:STRETCHY},{input:"\\lceil",tag:"mo",output:"\u2308",atval:"1",ttype:STRETCHY},{input:")",tag:"mo",output:")",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"]",tag:"mo",output:"]",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"\\rbrack",tag:"mo",output:"]",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"\\}",tag:"mo",output:"}",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"\\rbrace",tag:"mo",output:"}",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"\\rangle",tag:"mo",output:"\u232A",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"\\rfloor",tag:"mo",output:"\u230B",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"\\rceil",tag:"mo",output:"\u2309",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"|",tag:"mo",output:"\u2223",atval:"1",ttype:STRETCHY},{input:"\\|",tag:"mo",output:"\u2225",atval:"1",ttype:STRETCHY},{input:"\\vert",tag:"mo",output:"\u2223",atval:"1",ttype:STRETCHY},{input:"\\Vert",tag:"mo",output:"\u2225",atval:"1",ttype:STRETCHY},{input:"\\mid",tag:"mo",output:"\u2223",atval:"1",ttype:STRETCHY},{input:"\\parallel",tag:"mo",output:"\u2225",atval:"1",ttype:STRETCHY},{input:"/",tag:"mo",output:"/",atval:"1.01",ttype:STRETCHY},{input:"\\backslash",tag:"mo",output:"\u2216",atval:"1",ttype:STRETCHY},{input:"\\setminus",tag:"mo",output:"\\",ttype:CONST},{input:"\\!",tag:"mspace",atname:"width",atval:"-0.167em",ttype:SPACE},{input:"\\,",tag:"mspace",atname:"width",atval:"0.167em",ttype:SPACE},{input:"\\>",tag:"mspace",atname:"width",atval:"0.222em",ttype:SPACE},{input:"\\:",tag:"mspace",atname:"width",atval:"0.222em",ttype:SPACE},{input:"\\;",tag:"mspace",atname:"width",atval:"0.278em",ttype:SPACE},{input:"~",tag:"mspace",atname:"width",atval:"0.333em",ttype:SPACE},{input:"\\quad",tag:"mspace",atname:"width",atval:"1em",ttype:SPACE},{input:"\\qquad",tag:"mspace",atname:"width",atval:"2em",ttype:SPACE},{input:"\\prime",tag:"mo",output:"\u2032",ttype:CONST},{input:"'",tag:"mo",output:"\u02B9",ttype:CONST},{input:"''",tag:"mo",output:"\u02BA",ttype:CONST},{input:"'''",tag:"mo",output:"\u2034",ttype:CONST},{input:"''''",tag:"mo",output:"\u2057",ttype:CONST},{input:"\\ldots",tag:"mo",output:"\u2026",ttype:CONST},{input:"\\cdots",tag:"mo",output:"\u22EF",ttype:CONST},{input:"\\vdots",tag:"mo",output:"\u22EE",ttype:CONST},{input:"\\ddots",tag:"mo",output:"\u22F1",ttype:CONST},{input:"\\forall",tag:"mo",output:"\u2200",ttype:CONST},{input:"\\exists",tag:"mo",output:"\u2203",ttype:CONST},{input:"\\Re",tag:"mo",output:"\u211C",ttype:CONST},{input:"\\Im",tag:"mo",output:"\u2111",ttype:CONST},{input:"\\aleph",tag:"mo",output:"\u2135",ttype:CONST},{input:"\\hbar",tag:"mo",output:"\u210F",ttype:CONST},{input:"\\ell",tag:"mo",output:"\u2113",ttype:CONST},{input:"\\wp",tag:"mo",output:"\u2118",ttype:CONST},{input:"\\emptyset",tag:"mo",output:"\u2205",ttype:CONST},{input:"\\infty",tag:"mo",output:"\u221E",ttype:CONST},{input:"\\surd",tag:"mo",output:"\\sqrt{}",ttype:DEFINITION},{input:"\\partial",tag:"mo",output:"\u2202",ttype:CONST},{input:"\\nabla",tag:"mo",output:"\u2207",ttype:CONST},{input:"\\triangle",tag:"mo",output:"\u25B3",ttype:CONST},{input:"\\therefore",tag:"mo",output:"\u2234",ttype:CONST},{input:"\\angle",tag:"mo",output:"\u2220",ttype:CONST},{input:"\\diamond",tag:"mo",output:"\u22C4",ttype:CONST},{input:"\\Diamond",tag:"mo",output:"\u25C7",ttype:CONST},{input:"\\neg",tag:"mo",output:"\u00AC",ttype:CONST},{input:"\\lnot",tag:"mo",output:"\u00AC",ttype:CONST},{input:"\\bot",tag:"mo",output:"\u22A5",ttype:CONST},{input:"\\top",tag:"mo",output:"\u22A4",ttype:CONST},{input:"\\square",tag:"mo",output:"\u25AB",ttype:CONST},{input:"\\Box",tag:"mo",output:"\u25A1",ttype:CONST},{input:"\\wr",tag:"mo",output:"\u2240",ttype:CONST},{input:"\\arccos",tag:"mi",output:"arccos",ttype:UNARY,func:true},{input:"\\arcsin",tag:"mi",output:"arcsin",ttype:UNARY,func:true},{input:"\\arctan",tag:"mi",output:"arctan",ttype:UNARY,func:true},{input:"\\arg",tag:"mi",output:"arg",ttype:UNARY,func:true},{input:"\\cos",tag:"mi",output:"cos",ttype:UNARY,func:true},{input:"\\cosh",tag:"mi",output:"cosh",ttype:UNARY,func:true},{input:"\\cot",tag:"mi",output:"cot",ttype:UNARY,func:true},{input:"\\coth",tag:"mi",output:"coth",ttype:UNARY,func:true},{input:"\\csc",tag:"mi",output:"csc",ttype:UNARY,func:true},{input:"\\deg",tag:"mi",output:"deg",ttype:UNARY,func:true},{input:"\\det",tag:"mi",output:"det",ttype:UNARY,func:true},{input:"\\dim",tag:"mi",output:"dim",ttype:UNARY,func:true},{input:"\\exp",tag:"mi",output:"exp",ttype:UNARY,func:true},{input:"\\gcd",tag:"mi",output:"gcd",ttype:UNARY,func:true},{input:"\\hom",tag:"mi",output:"hom",ttype:UNARY,func:true},{input:"\\inf",tag:"mo",output:"inf",ttype:UNDEROVER},{input:"\\ker",tag:"mi",output:"ker",ttype:UNARY,func:true},{input:"\\lg",tag:"mi",output:"lg",ttype:UNARY,func:true},{input:"\\lim",tag:"mo",output:"lim",ttype:UNDEROVER},{input:"\\liminf",tag:"mo",output:"liminf",ttype:UNDEROVER},{input:"\\limsup",tag:"mo",output:"limsup",ttype:UNDEROVER},{input:"\\ln",tag:"mi",output:"ln",ttype:UNARY,func:true},{input:"\\log",tag:"mi",output:"log",ttype:UNARY,func:true},{input:"\\max",tag:"mo",output:"max",ttype:UNDEROVER},{input:"\\min",tag:"mo",output:"min",ttype:UNDEROVER},{input:"\\Pr",tag:"mi",output:"Pr",ttype:UNARY,func:true},{input:"\\sec",tag:"mi",output:"sec",ttype:UNARY,func:true},{input:"\\sin",tag:"mi",output:"sin",ttype:UNARY,func:true},{input:"\\sinh",tag:"mi",output:"sinh",ttype:UNARY,func:true},{input:"\\sup",tag:"mo",output:"sup",ttype:UNDEROVER},{input:"\\tan",tag:"mi",output:"tan",ttype:UNARY,func:true},{input:"\\tanh",tag:"mi",output:"tanh",ttype:UNARY,func:true},{input:"\\gets",tag:"mo",output:"\u2190",ttype:CONST},{input:"\\leftarrow",tag:"mo",output:"\u2190",ttype:CONST},{input:"\\to",tag:"mo",output:"\u2192",ttype:CONST},{input:"\\rightarrow",tag:"mo",output:"\u2192",ttype:CONST},{input:"\\leftrightarrow",tag:"mo",output:"\u2194",ttype:CONST},{input:"\\uparrow",tag:"mo",output:"\u2191",ttype:CONST},{input:"\\downarrow",tag:"mo",output:"\u2193",ttype:CONST},{input:"\\updownarrow",tag:"mo",output:"\u2195",ttype:CONST},{input:"\\Leftarrow",tag:"mo",output:"\u21D0",ttype:CONST},{input:"\\Rightarrow",tag:"mo",output:"\u21D2",ttype:CONST},{input:"\\Leftrightarrow",tag:"mo",output:"\u21D4",ttype:CONST},{input:"\\iff",tag:"mo",output:"~\\Longleftrightarrow~",ttype:DEFINITION},{input:"\\Uparrow",tag:"mo",output:"\u21D1",ttype:CONST},{input:"\\Downarrow",tag:"mo",output:"\u21D3",ttype:CONST},{input:"\\Updownarrow",tag:"mo",output:"\u21D5",ttype:CONST},{input:"\\mapsto",tag:"mo",output:"\u21A6",ttype:CONST},{input:"\\longleftarrow",tag:"mo",output:"\u2190",ttype:LONG},{input:"\\longrightarrow",tag:"mo",output:"\u2192",ttype:LONG},{input:"\\longleftrightarrow",tag:"mo",output:"\u2194",ttype:LONG},{input:"\\Longleftarrow",tag:"mo",output:"\u21D0",ttype:LONG},{input:"\\Longrightarrow",tag:"mo",output:"\u21D2",ttype:LONG},{input:"\\Longleftrightarrow",tag:"mo",output:"\u21D4",ttype:LONG},{input:"\\longmapsto",tag:"mo",output:"\u21A6",ttype:CONST},AMsqrt,AMroot,AMfrac,AMover,AMsub,AMsup,AMtext,AMmbox,AMatop,AMchoose,{input:"\\acute",tag:"mover",output:"\u00B4",ttype:UNARY,acc:true},{input:"\\grave",tag:"mover",output:"\u0060",ttype:UNARY,acc:true},{input:"\\breve",tag:"mover",output:"\u02D8",ttype:UNARY,acc:true},{input:"\\check",tag:"mover",output:"\u02C7",ttype:UNARY,acc:true},{input:"\\dot",tag:"mover",output:".",ttype:UNARY,acc:true},{input:"\\ddot",tag:"mover",output:"..",ttype:UNARY,acc:true},{input:"\\mathring",tag:"mover",output:"\u00B0",ttype:UNARY,acc:true},{input:"\\vec",tag:"mover",output:"\u20D7",ttype:UNARY,acc:true},{input:"\\overrightarrow",tag:"mover",output:"\u20D7",ttype:UNARY,acc:true},{input:"\\overleftarrow",tag:"mover",output:"\u20D6",ttype:UNARY,acc:true},{input:"\\hat",tag:"mover",output:"\u005E",ttype:UNARY,acc:true},{input:"\\widehat",tag:"mover",output:"\u0302",ttype:UNARY,acc:true},{input:"\\tilde",tag:"mover",output:"~",ttype:UNARY,acc:true},{input:"\\widetilde",tag:"mover",output:"\u02DC",ttype:UNARY,acc:true},{input:"\\bar",tag:"mover",output:"\u203E",ttype:UNARY,acc:true},{input:"\\overbrace",tag:"mover",output:"\uFE37",ttype:UNARY,acc:true},{input:"\\overbracket",tag:"mover",output:"\u23B4",ttype:UNARY,acc:true},{input:"\\overline",tag:"mover",output:"\u00AF",ttype:UNARY,acc:true},{input:"\\underbrace",tag:"munder",output:"\uFE38",ttype:UNARY,acc:true},{input:"\\underbracket",tag:"munder",output:"\u23B5",ttype:UNARY,acc:true},{input:"\\underline",tag:"munder",output:"\u00AF",ttype:UNARY,acc:true},{input:"\\displaystyle",tag:"mstyle",atname:"displaystyle",atval:"true",ttype:UNARY},{input:"\\textstyle",tag:"mstyle",atname:"displaystyle",atval:"false",ttype:UNARY},{input:"\\scriptstyle",tag:"mstyle",atname:"scriptlevel",atval:"1",ttype:UNARY},{input:"\\scriptscriptstyle",tag:"mstyle",atname:"scriptlevel",atval:"2",ttype:UNARY},{input:"\\textrm",tag:"mstyle",output:"\\mathrm",ttype:DEFINITION},{input:"\\mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",ttype:UNARY},{input:"\\textbf",tag:"mstyle",atname:"mathvariant",atval:"bold",ttype:UNARY},{input:"\\mathit",tag:"mstyle",atname:"mathvariant",atval:"italic",ttype:UNARY},{input:"\\textit",tag:"mstyle",atname:"mathvariant",atval:"italic",ttype:UNARY},{input:"\\mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",ttype:UNARY},{input:"\\texttt",tag:"mstyle",atname:"mathvariant",atval:"monospace",ttype:UNARY},{input:"\\mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",ttype:UNARY},{input:"\\mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",ttype:UNARY,codes:AMbbb},{input:"\\mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",ttype:UNARY,codes:AMcal},{input:"\\mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",ttype:UNARY,codes:AMfrk},{input:"\\textcolor",tag:"mstyle",atname:"mathvariant",atval:"mathcolor",ttype:BINARY},{input:"\\colorbox",tag:"mstyle",atname:"mathvariant",atval:"background",ttype:BINARY}];function compareNames(s1,s2){if(s1.input>s2.input)return 1 else return-1;} var AMnames=[];function AMinitSymbols(){AMsymbols.sort(compareNames);for(i=0;i>1;if(arr[m]=AMnames[k];} AMpreviousSymbol=AMcurrentSymbol;if(match!=""){AMcurrentSymbol=AMsymbols[mk].ttype;return AMsymbols[mk];} AMcurrentSymbol=CONST;k=1;st=str.slice(0,1);if("0"<=st&&st<="9")tagst="mn";else tagst=(("A">st||st>"Z")&&("a">st||st>"z")?"mo":"mi");return{input:st,tag:tagst,output:st,ttype:CONST};} var AMpreviousSymbol,AMcurrentSymbol;function AMparseSexpr(str){var symbol,node,result,result2,i,st,newFrag=document.createDocumentFragment();str=AMremoveCharsAndBlanks(str,0);symbol=AMgetSymbol(str);if(symbol==null||symbol.ttype==RIGHTBRACKET) return[null,str,null];if(symbol.ttype==DEFINITION){str=symbol.output+AMremoveCharsAndBlanks(str,symbol.input.length);symbol=AMgetSymbol(str);if(symbol==null||symbol.ttype==RIGHTBRACKET) return[null,str,null];} str=AMremoveCharsAndBlanks(str,symbol.input.length);switch(symbol.ttype){case SPACE:node=AMcreateElementMathML(symbol.tag);node.setAttribute(symbol.atname,symbol.atval);return[node,str,symbol.tag];case UNDEROVER:if(isIE){if(symbol.input.substr(0,4)=="\\big"){str="\\"+symbol.input.substr(4)+str;symbol=AMgetSymbol(str);symbol.ttype=UNDEROVER;str=AMremoveCharsAndBlanks(str,symbol.input.length);}} return[AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output)),str,symbol.tag];case CONST:var output=symbol.output;if(isIE){if(symbol.input=="'") output="\u2032";else if(symbol.input=="''") output="\u2033";else if(symbol.input=="'''") output="\u2033\u2032";else if(symbol.input=="''''") output="\u2033\u2033";else if(symbol.input=="\\square") output="\u25A1";else if(symbol.input.substr(0,5)=="\\frac"){var denom=symbol.input.substr(6,1);if(denom=="5"||denom=="6"){str=symbol.input.replace(/\\frac/,"\\frac ")+str;return[node,str,symbol.tag];}}} node=AMcreateMmlNode(symbol.tag,document.createTextNode(output));return[node,str,symbol.tag];case LONG:node=AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output));node.setAttribute("minsize","1.5");node.setAttribute("maxsize","1.5");node=AMcreateMmlNode("mover",node);node.appendChild(AMcreateElementMathML("mspace"));return[node,str,symbol.tag];case STRETCHY:if(isIE&&symbol.input=="\\backslash") symbol.output="\\";node=AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output));if(symbol.input=="|"||symbol.input=="\\vert"||symbol.input=="\\|"||symbol.input=="\\Vert"){node.setAttribute("lspace","0em");node.setAttribute("rspace","0em");} node.setAttribute("maxsize",symbol.atval);if(symbol.rtag!=null) return[node,str,symbol.rtag];else return[node,str,symbol.tag];case BIG:var atval=symbol.atval;if(isIE) atval=symbol.ieval;symbol=AMgetSymbol(str);if(symbol==null) return[null,str,null];str=AMremoveCharsAndBlanks(str,symbol.input.length);node=AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output));if(isIE){var space=AMcreateElementMathML("mspace");space.setAttribute("height",atval+"ex");node=AMcreateMmlNode("mrow",node);node.appendChild(space);}else{node.setAttribute("minsize",atval);node.setAttribute("maxsize",atval);} return[node,str,symbol.tag];case LEFTBRACKET:if(symbol.input=="\\left"){symbol=AMgetSymbol(str);if(symbol!=null){if(symbol.input==".") symbol.invisible=true;str=AMremoveCharsAndBlanks(str,symbol.input.length);}} result=AMparseExpr(str,true,false);if(symbol==null||(typeof symbol.invisible=="boolean"&&symbol.invisible)) node=AMcreateMmlNode("mrow",result[0]);else{node=AMcreateMmlNode("mo",document.createTextNode(symbol.output));node=AMcreateMmlNode("mrow",node);node.appendChild(result[0]);} return[node,result[1],result[2]];case MATRIX:if(symbol.input=="\\begin{array}"){var mask="";symbol=AMgetSymbol(str);str=AMremoveCharsAndBlanks(str,0);if(symbol==null) mask="l";else{str=AMremoveCharsAndBlanks(str,symbol.input.length);if(symbol.input!="{") mask="l";else do{symbol=AMgetSymbol(str);if(symbol!=null){str=AMremoveCharsAndBlanks(str,symbol.input.length);if(symbol.input!="}") mask=mask+symbol.input;}}while(symbol!=null&&symbol.input!=""&&symbol.input!="}");} result=AMparseExpr("{"+str,true,true);node=AMcreateMmlNode("mtable",result[0]);mask=mask.replace(/l/g,"left ");mask=mask.replace(/r/g,"right ");mask=mask.replace(/c/g,"center ");node.setAttribute("columnalign",mask);node.setAttribute("displaystyle","false");if(isIE) return[node,result[1],null];var lspace=AMcreateElementMathML("mspace");lspace.setAttribute("width","0.167em");var rspace=AMcreateElementMathML("mspace");rspace.setAttribute("width","0.167em");var node1=AMcreateMmlNode("mrow",lspace);node1.appendChild(node);node1.appendChild(rspace);return[node1,result[1],null];}else{result=AMparseExpr("{"+str,true,true);node=AMcreateMmlNode("mtable",result[0]);if(isIE) node.setAttribute("columnspacing","0.25em");else node.setAttribute("columnspacing","0.167em");node.setAttribute("columnalign","right center left");node.setAttribute("displaystyle","true");node=AMcreateMmlNode("mrow",node);return[node,result[1],null];} case TEXT:if(str.charAt(0)=="{")i=str.indexOf("}");else i=0;if(i==-1) i=str.length;st=str.slice(1,i);if(st.charAt(0)==" "){node=AMcreateElementMathML("mspace");node.setAttribute("width","0.33em");newFrag.appendChild(node);} newFrag.appendChild(AMcreateMmlNode(symbol.tag,document.createTextNode(st)));if(st.charAt(st.length-1)==" "){node=AMcreateElementMathML("mspace");node.setAttribute("width","0.33em");newFrag.appendChild(node);} str=AMremoveCharsAndBlanks(str,i+1);return[AMcreateMmlNode("mrow",newFrag),str,null];case UNARY:result=AMparseSexpr(str);if(result[0]==null)return[AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output)),str];if(typeof symbol.func=="boolean"&&symbol.func){st=str.charAt(0);if(st=="^"||st=="_"||st==","){return[AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output)),str,symbol.tag];}else{node=AMcreateMmlNode("mrow",AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output)));if(isIE){var space=AMcreateElementMathML("mspace");space.setAttribute("width","0.167em");node.appendChild(space);} node.appendChild(result[0]);return[node,result[1],symbol.tag];}} if(symbol.input=="\\sqrt"){if(isIE){var space=AMcreateElementMathML("mspace");space.setAttribute("height","1.2ex");space.setAttribute("width","0em");node=AMcreateMmlNode(symbol.tag,result[0]) node.appendChild(space);return[node,result[1],symbol.tag];}else return[AMcreateMmlNode(symbol.tag,result[0]),result[1],symbol.tag];}else if(typeof symbol.acc=="boolean"&&symbol.acc){node=AMcreateMmlNode(symbol.tag,result[0]);var output=symbol.output;if(isIE){if(symbol.input=="\\hat") output="\u0302";else if(symbol.input=="\\widehat") output="\u005E";else if(symbol.input=="\\bar") output="\u00AF";else if(symbol.input=="\\grave") output="\u0300";else if(symbol.input=="\\tilde") output="\u0303";} var node1=AMcreateMmlNode("mo",document.createTextNode(output));if(symbol.input=="\\vec"||symbol.input=="\\check") node1.setAttribute("maxsize","1.2");if(isIE&&symbol.input=="\\bar") node1.setAttribute("maxsize","0.5");if(symbol.input=="\\underbrace"||symbol.input=="\\underline") node1.setAttribute("accentunder","true");else node1.setAttribute("accent","true");node.appendChild(node1);if(symbol.input=="\\overbrace"||symbol.input=="\\underbrace") node.ttype=UNDEROVER;return[node,result[1],symbol.tag];}else{if(!isIE&&typeof symbol.codes!="undefined"){for(i=0;i64&&st.charCodeAt(j)<91)newst=newst+ String.fromCharCode(symbol.codes[st.charCodeAt(j)-65]);else newst=newst+st.charAt(j);if(result[0].nodeName=="mi") result[0]=AMcreateElementMathML("mo").appendChild(document.createTextNode(newst));else result[0].replaceChild(AMcreateElementMathML("mo").appendChild(document.createTextNode(newst)),result[0].childNodes[i]);}} node=AMcreateMmlNode(symbol.tag,result[0]);node.setAttribute(symbol.atname,symbol.atval);if(symbol.input=="\\scriptstyle"||symbol.input=="\\scriptscriptstyle") node.setAttribute("displaystyle","false");return[node,result[1],symbol.tag];} case BINARY:result=AMparseSexpr(str);if(result[0]==null)return[AMcreateMmlNode("mo",document.createTextNode(symbol.input)),str,null];result2=AMparseSexpr(result[1]);if(result2[0]==null)return[AMcreateMmlNode("mo",document.createTextNode(symbol.input)),str,null];if(symbol.input=="\\textcolor"||symbol.input=="\\colorbox"){var tclr=str.match(/\{\s*([#\w]+)\s*\}/);str=str.replace(/\{\s*[#\w]+\s*\}/,"");if(tclr!=null){if(IsColorName.test(tclr[1].toLowerCase())){tclr=LaTeXColor[tclr[1].toLowerCase()];}else{tclr=tclr[1];} node=AMcreateElementMathML("mstyle");node.setAttribute(symbol.atval,tclr);node.appendChild(result2[0]);return[node,result2[1],symbol.tag];}} if(symbol.input=="\\root"||symbol.input=="\\stackrel")newFrag.appendChild(result2[0]);newFrag.appendChild(result[0]);if(symbol.input=="\\frac")newFrag.appendChild(result2[0]);return[AMcreateMmlNode(symbol.tag,newFrag),result2[1],symbol.tag];case INFIX:str=AMremoveCharsAndBlanks(str,symbol.input.length);return[AMcreateMmlNode("mo",document.createTextNode(symbol.output)),str,symbol.tag];default:return[AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output)),str,symbol.tag];}} function AMparseIexpr(str){var symbol,sym1,sym2,node,result,tag,underover;str=AMremoveCharsAndBlanks(str,0);sym1=AMgetSymbol(str);result=AMparseSexpr(str);node=result[0];str=result[1];tag=result[2];symbol=AMgetSymbol(str);if(symbol.ttype==INFIX){str=AMremoveCharsAndBlanks(str,symbol.input.length);result=AMparseSexpr(str);if(result[0]==null) result[0]=AMcreateMmlNode("mo",document.createTextNode("\u25A1"));str=result[1];tag=result[2];if(symbol.input=="_"||symbol.input=="^"){sym2=AMgetSymbol(str);tag=null;underover=((sym1.ttype==UNDEROVER)||(node.ttype==UNDEROVER));if(symbol.input=="_"&&sym2.input=="^"){str=AMremoveCharsAndBlanks(str,sym2.input.length);var res2=AMparseSexpr(str);str=res2[1];tag=res2[2];node=AMcreateMmlNode((underover?"munderover":"msubsup"),node);node.appendChild(result[0]);node.appendChild(res2[0]);}else if(symbol.input=="_"){node=AMcreateMmlNode((underover?"munder":"msub"),node);node.appendChild(result[0]);}else{node=AMcreateMmlNode((underover?"mover":"msup"),node);node.appendChild(result[0]);} node=AMcreateMmlNode("mrow",node);}else{node=AMcreateMmlNode(symbol.tag,node);if(symbol.input=="\\atop"||symbol.input=="\\choose") node.setAttribute("linethickness","0ex");node.appendChild(result[0]);if(symbol.input=="\\choose") node=AMcreateMmlNode("mfenced",node);}} return[node,str,tag];} function AMparseExpr(str,rightbracket,matrix){var symbol,node,result,i,tag,newFrag=document.createDocumentFragment();do{str=AMremoveCharsAndBlanks(str,0);result=AMparseIexpr(str);node=result[0];str=result[1];tag=result[2];symbol=AMgetSymbol(str);if(node!=undefined){if((tag=="mn"||tag=="mi")&&symbol!=null&&typeof symbol.func=="boolean"&&symbol.func){var space=AMcreateElementMathML("mspace");space.setAttribute("width","0.167em");node=AMcreateMmlNode("mrow",node);node.appendChild(space);} newFrag.appendChild(node);}}while((symbol.ttype!=RIGHTBRACKET)&&symbol!=null&&symbol.output!="");tag=null;if(symbol.ttype==RIGHTBRACKET){if(symbol.input=="\\right"){str=AMremoveCharsAndBlanks(str,symbol.input.length);symbol=AMgetSymbol(str);if(symbol!=null&&symbol.input==".") symbol.invisible=true;if(symbol!=null) tag=symbol.rtag;} if(symbol!=null) str=AMremoveCharsAndBlanks(str,symbol.input.length);var len=newFrag.childNodes.length;if(matrix&&len>0&&newFrag.childNodes[len-1].nodeName=="mrow"&&len>1&&newFrag.childNodes[len-2].nodeName=="mo"&&newFrag.childNodes[len-2].firstChild.nodeValue=="&"){var pos=[];var m=newFrag.childNodes.length;for(i=0;matrix&&i2){newFrag.removeChild(newFrag.firstChild);newFrag.removeChild(newFrag.firstChild);} table.appendChild(AMcreateMmlNode("mtr",row));} return[table,str];} if(typeof symbol.invisible!="boolean"||!symbol.invisible){node=AMcreateMmlNode("mo",document.createTextNode(symbol.output));newFrag.appendChild(node);}} return[newFrag,str,tag];} function AMparseMath(str){var result,node=AMcreateElementMathML("mstyle");var cclr=str.match(/\\color\s*\{\s*([#\w]+)\s*\}/);str=str.replace(/\\color\s*\{\s*[#\w]+\s*\}/g,"");if(cclr!=null){if(IsColorName.test(cclr[1].toLowerCase())){cclr=LaTeXColor[cclr[1].toLowerCase()];}else{cclr=cclr[1];} node.setAttribute("mathcolor",cclr);}else{if(mathcolor!="")node.setAttribute("mathcolor",mathcolor);};if(mathfontfamily!="")node.setAttribute("fontfamily",mathfontfamily);node.appendChild(AMparseExpr(str.replace(/^\s+/g,""),false,false)[0]);node=AMcreateMmlNode("math",node);if(showasciiformulaonhover) node.setAttribute("title",str.replace(/\s+/g," "));if(false){var fnode=AMcreateElementXHTML("font");fnode.setAttribute("face",mathfontfamily);fnode.appendChild(node);return fnode;} return node;} function AMstrarr2docFrag(arr,linebreaks){var newFrag=document.createDocumentFragment();var expr=false;for(var i=0;i1||mtch){if(checkForMathML){checkForMathML=false;var nd=AMisMathMLavailable();AMnoMathML=nd!=null;if(AMnoMathML&¬ifyIfNoMathML) if(alertIfNoMathML) alert("To view the ASCIIMathML notation use Internet Explorer 6 +\nMathPlayer (free from www.dessci.com)\nor Firefox/Mozilla/Netscape");else AMbody.insertBefore(nd,AMbody.childNodes[0]);} if(!AMnoMathML){frg=AMstrarr2docFrag(arr,n.nodeType==8);var len=frg.childNodes.length;n.parentNode.replaceChild(frg,n);return len-1;}else return 0;}}}else return 0;}else if(n.nodeName!="math"){for(i=0;i0){if(inAppendix){return"A"+sectionCntr+"."+cntr;}else{return sectionCntr+"."+cntr;}}else{return""+cntr;}};function LaTeXpreProcess(thebody){var TheBody=thebody;if(TheBody.hasChildNodes()){if(!(IsLaTeXElement.test(TheBody.className))) {for(var i=0;i");str=str.replace(/%[^\n]*(?=\n)/g,"");str=str.replace(/%[^\r]*(?=\r)/g,"");str=str.replace(/%[^\n]*$/,"") if(isIE&&str.match(/%/g)!=null&&IEcommentWarning){alert("Comments may not have parsed properly. Try putting in
=0){str[i]=str[i].replace(/\\section\s*\{/," \\[section\\]");var delimcnt=1;for(var ii=sectionIndex;ii=0){str[i]=str[i].replace(/\\subsection\s*\{/," \\[subsection\\]");var delimcnt=1;for(var ii=sectionIndex;ii=0){str[i]=str[i].replace(/\\subsubsection\s*\{/," \\[subsubsection\\]");var delimcnt=1;for(var ii=sectionIndex;ii=0){var tmp=strtmparray[1];var delimcnt=0;var capstart=-1;for(var pos=capIndex;pos0){capend=pos-1;FIGcap=tmp.substring(capstart,pos);break}}}
var FIGtr2=document.createElement("tr");var FIGtd2=document.createElement("td");FIGtd2.className="caption";var FIGanchor=document.createElement("a");FIGanchor.className="figure";if(FIGlbl!=null){FIGanchor.id=FIGlbl[1];}
LaTeXCounter["figure"]++;var fignmbr=makeNumberString(LaTeXCounter["figure"]);var anchorSpan=document.createElement("span");anchorSpan.className="figure";anchorSpan.style.display="none";anchorSpan.appendChild(document.createTextNode(fignmbr));FIGanchor.appendChild(anchorSpan);FIGtd2.appendChild(FIGanchor);var FIGspan=document.createElement("span");FIGspan.className="figure";FIGspan.appendChild(document.createTextNode("Figure "+fignmbr+". "));FIGtd2.appendChild(FIGspan);FIGtd2.appendChild(document.createTextNode(""+FIGcap));FIGtr2.appendChild(FIGtd2);FIGtbody.appendChild(FIGtr2);var IsSpecial=false;var FIGinfo=strtmparray[1].match(/\\includegraphics\s*\{([^\}]+)\}/);if(FIGinfo==null){FIGinfo=strtmparray[1].match(/\\includegraphics\s*\[[^\]]*\]\s*\{\s*([^\}]+)\s*\}/);}
if(FIGinfo==null){FIGinfo=strtmparray[1].match(/\\special\s*\{\s*([^\}]+)\}/);IsSpecial=true};if(FIGinfo!=null){var FIGtr1=document.createElement("tr");var FIGtd1=document.createElement("td");FIGtd1.className="image";var FIGimg=document.createElement("img");var FIGsrc=FIGinfo[1];FIGimg.src=FIGsrc;FIGimg.alt="Figure "+FIGsrc+" did not load";FIGimg.title="Figure "+fignmbr+". "+FIGcap;FIGimg.id="figure"+fignmbr;FIGtd1.appendChild(FIGimg);FIGtr1.appendChild(FIGtd1);FIGtbody.appendChild(FIGtr1);}
nodeTmp.appendChild(FIGtbody);newFrag.appendChild(nodeTmp);break;case"table":var nodeTmp=document.createElement("table");if(strtmparray[1].search(/\\centering/)>=0){nodeTmp.className='LaTeXtable centered';nodeTmp.align="center";}else{nodeTmp.className='LaTeXtable';};tableid++;nodeTmp.id="LaTeXtable"+tableid;var TABlbl=strtmparray[1].match(/\\label\s*\{\s*(\w+)\s*\}/);strtmparray[1]=strtmparray[1].replace(/\\label\s*\{\w+\}/g,"");var capIndex=strtmparray[1].search(/\\caption\s*\{[\s\S]+\}/);var TABcap="";if(capIndex>=0){var tmp=strtmparray[1];var delimcnt=0;var capstart=-1;for(var pos=capIndex;pos0){capend=pos-1;TABcap=tmp.substring(capstart,pos);break}}}
if(TABcap!=""){var TABtbody=document.createElement("tbody");var TABcaption=document.createElement("caption");TABcaption.className="LaTeXtable centered";var TABanchor=document.createElement("a");TABanchor.className="LaTeXtable";if(TABlbl!=null){TABanchor.id=TABlbl[1];}
LaTeXCounter["table"]++;var tabnmbr=makeNumberString(LaTeXCounter["table"]);var anchorSpan=document.createElement("span");anchorSpan.className="LaTeXtable";anchorSpan.style.display="none";anchorSpan.appendChild(document.createTextNode(tabnmbr));TABanchor.appendChild(anchorSpan);TABcaption.appendChild(TABanchor);var TABspan=document.createElement("span");TABspan.className="LaTeXtable";TABspan.appendChild(document.createTextNode("Table "+tabnmbr+". "));TABcaption.appendChild(TABspan);TABcaption.appendChild(document.createTextNode(""+TABcap));nodeTmp.appendChild(TABcaption);}
var TABinfo=strtmparray[1].match(/\\begin\s*\{\s*tabular\s*\}([\s\S]+)\\end\s*\{\s*tabular\s*\}/);if(TABinfo!=null){var TABtbody=document.createElement('tbody');var TABrow=null;var TABcell=null;var row=0;var col=0;var TABalign=TABinfo[1].match(/^\s*\{([^\}]+)\}/);TABinfo=TABinfo[1].replace(/^\s*\{[^\}]+\}/,"");TABinfo=TABinfo.replace(/\\hline/g,"");TABalign[1]=TABalign[1].replace(/\|/g,"");TABalign[1]=TABalign[1].replace(/\s/g,"");TABinfo=TABinfo.split("\\\\");for(row=0;row");strtmp[j]=strtmp[j].replace(/\$([^\$]+)\$/g," \\[$1\\[ ");strtmp[j]=strtmp[j].replace(//g,"\\$");strtmp[j]=strtmp[j].replace(/\\begin\s*\{\s*math\s*\}([\s\S]+?)\\end\s*\{\s*math\s*\}/g," \\[$1\\[ ");var strtmptmp=strtmp[j].split("\\[");for(var jjj=0;jjj-1){if(/^\\textcolor/.test(strtmptmp[jjj].substring(TagIndex,strtmptmp[jjj].length))){strtmptmp[jjj]=strtmptmp[jjj].replace(/\\textcolor\s*\{\s*(\w+)\s*\}\s*/," \\[textcolor\\]$1\\]|");}else{if(/^\\colorbox/.test(strtmptmp[jjj].substring(TagIndex,strtmptmp[jjj].length))){strtmptmp[jjj]=strtmptmp[jjj].replace(/\\colorbox\s*\{\s*(\w+)\s*\}\s*/," \\[colorbox\\]$1\\]|");}else{strtmptmp[jjj]=strtmptmp[jjj].substring(0,TagIndex)+strtmptmp[jjj].substring(TagIndex,strtmptmp[jjj].length).replace(/\\\s*(\w+)\s*/," \\[$1\\]|");}}
TagIndex+=strtmptmp[jjj].substring(TagIndex,strtmptmp[jjj].length).search(/\|/);TagIndex++;strtmptmp[jjj]=strtmptmp[jjj].replace(/\\\]\|/,"\\] ");if(strtmptmp[jjj].charAt(TagIndex)=="{"){strtmptmp[jjj]=strtmptmp[jjj].substring(0,TagIndex)+strtmptmp[jjj].substring(TagIndex+1,strtmptmp[jjj].length);var delimcnt=1;for(var kk=TagIndex;kk=0;i--){EndDivClass=AllDivs[i].className.match(/end\w+/);if(EndDivClass!=null){EndDivClass=EndDivClass[0];var DivClass=EndDivClass.substring(3,EndDivClass.length);var EndDivNode=AllDivs[i];break;}}
while(EndDivClass!=null){var newFrag=document.createDocumentFragment();var RootNode=EndDivNode.parentNode;var ClassCount=1;while(EndDivNode.previousSibling!=null&&ClassCount>0){switch(EndDivNode.previousSibling.className){case EndDivClass:ClassCount++;newFrag.insertBefore(EndDivNode.previousSibling,newFrag.firstChild);break;case DivClass:if(EndDivNode.previousSibling.nodeName=="DIV"){ClassCount--;if(lbl2id!=""){EndDivNode.previousSibling.id=lbl2id;lbl2id=""}
if(ClassCount==0){RootNode=EndDivNode.previousSibling;}else{newFrag.insertBefore(EndDivNode.previousSibling,newFrag.firstChild);}};break;case'LaTeXMathMLlabel':lbl2id=EndDivNode.previousSibling.id;EndDivNode.parentNode.removeChild(EndDivNode.previousSibling);break;default:newFrag.insertBefore(EndDivNode.previousSibling,newFrag.firstChild);}}
RootNode.appendChild(newFrag);EndDivNode.parentNode.removeChild(EndDivNode);AllDivs=TheBody.getElementsByTagName("DIV");for(i=AllDivs.length-1;i>=0;i--){EndDivClass=AllDivs[i].className.match(/end\w+/);if(EndDivClass!=null){ClassCount=0;EndDivClass=EndDivClass[0];DivClass=EndDivClass.substring(3,EndDivClass.length);EndDivNode=AllDivs[i];RootNode=EndDivNode.parentNode;break;}}}
var AllDivs=TheBody.getElementsByTagName("div");var DIV2LI=null;for(var i=0;i0){for(var m=0;m");document.write("");}
function generic()
{translate();};if(typeof window.addEventListener!='undefined')
{window.addEventListener('load',generic,false);}
else if(typeof document.addEventListener!='undefined')
{document.addEventListener('load',generic,false);}
else if(typeof window.attachEvent!='undefined')
{window.attachEvent('onload',generic);}
else
{if(typeof window.onload=='function')
{var existing=onload;window.onload=function()
{existing();generic();};}
else
{window.onload=generic;}}