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  1. /*
  2.  jm.evers
  3.  17/12/2017
  4.  changed for multi line math output support:
  5.  jqmath.css ma-block: display:block;text-align:center --> display:inline;text-align:left
  6.  
  7.  14/7/2016
  8.  Back in 2014 I was convinced there would be a fairly easy / straightforward way of removing JQuery
  9.  ,since all interesting things in JQuery are now -thanks to JQuery- a standard in modern browsers.
  10.  And many critical websites (taxes / banks / goverment) refuse older (IE) browsers...so there is virtually no need
  11.  for the JQuery browser-glue-javascript-code
  12.  See https://toddmotto.com/is-it-time-to-drop-jquery-essentials-to-learning-javascript-from-a-jquery-background/
  13.  See http://tutorialzine.com/2014/06/10-tips-for-writing-javascript-without-jquery/
  14.  See http://blog.wearecolony.com/a-year-without-jquery/
  15.  See http://blog.garstasio.com/you-dont-need-jquery/
  16.  But...after many hours of trying to get rid of JQuery in jqmath.js, I must give up !
  17.  this is too difficult;for me there is no easy way to replace JQuery by ordinary javascript.
  18.  What a shame :(
  19.    
  20.  22/2/2014
  21.  preliminary version of jqmath written with some jquery (grrrr)
  22.  when wims-integration is finished,
  23.  I will rewrite jqmath , removing all JQuery !...the most used useless js-glue-library
  24.  See http://jsperf.com/vanilla-js-ftw-jquery-vs-js
  25.  Where vanilla javascript is on average 5 - 10 times faster than JQuery...
  26.  In general, clients / students should use modern / up-to-date html5 capable browsers...and not only for something like
  27.  756922 operations/second : document.body.appendChild(document.createElement("p"));
  28.  in stead of
  29.  70330  operations/second  : $("body").append("<p/>");
  30. */
  31.  
  32. /*
  33.  * jQuery JavaScript Library v1.4.3
  34.  * http://jquery.com/
  35.  *
  36.  * Copyright 2010, John Resig
  37.  * Dual licensed under the MIT or GPL Version 2 licenses.
  38.  * http://jquery.org/license
  39.  *
  40.  * Includes Sizzle.js
  41.  * http://sizzlejs.com/
  42.  * Copyright 2010, The Dojo Foundation
  43.  * Released under the MIT, BSD, and GPL Licenses.
  44.  *
  45.  * Date: Thu Oct 14 23:10:06 2010 -0400
  46.  *
  47.  * qmath-etc-0.4.0.min.js ... includes jscurry
  48.  */
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  196. e):f.css(e)}};c.fn.extend({position:function(){if(!this[0])return null;var a=this[0],b=this.offsetParent(),d=this.offset(),e=Fa.test(b[0].nodeName)?{top:0,left:0}:b.offset();d.top-=parseFloat(c.css(a,"marginTop"))||0;d.left-=parseFloat(c.css(a,"marginLeft"))||0;e.top+=parseFloat(c.css(b[0],"borderTopWidth"))||0;e.left+=parseFloat(c.css(b[0],"borderLeftWidth"))||0;return{top:d.top-e.top,left:d.left-e.left}},offsetParent:function(){return this.map(function(){for(var a=this.offsetParent||u.body;a&&!Fa.test(a.nodeName)&&
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  200.  
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  248. "su|sv|tr|tt|ug|uk|vi|yi";M.decimalComma(RegExp("^("+commaLangs+")\\b","i").test(document.documentElement.lang));M.infix_={"\u2282\u20d2":240,"\u2283\u20d2":240,"\u226a\u0338":260,"\u226b\u0338":260,"\u2aaf\u0338":260,"\u2ab0\u0338":260,"\u223d\u0331":265,"\u2242\u0338":265,"\u224e\u0338":265,"\u224f\u0338":265,"\u2266\u0338":265,"\u227f\u0338":265,"\u228f\u0338":265,"\u2290\u0338":265,"\u29cf\u0338":265,"\u29d0\u0338":265,"\u2a7d\u0338":265,"\u2a7e\u0338":265,"\u2aa1\u0338":265,"\u2aa2\u0338":265,
  249. "\u2009":390,"":500};M.prefix_={};M.postfix_={};function setPrecs(precs,precCharsA){F.iter(function(prec_chars){var prec=prec_chars[0];F.iter(function(c){precs[c]=prec},prec_chars[1].split(""))},precCharsA)}setPrecs(M.infix_,[[21,"|"],[30,";"],[40,",\u2063"],[70,"\u2234\u2235"],[100,":"],[110,"\u03f6"],[150,"\u2026\u22ee\u22ef\u22f1"],[160,"\u220b"],[170,"\u22a2\u22a3\u22a4\u22a8\u22a9\u22ac\u22ad\u22ae\u22af"],[190,"\u2228"],[200,"\u2227"],[240,"\u2201\u2208\u2209\u220c\u2282\u2283\u2284\u2285\u2286\u2287\u2288\u2289\u228a\u228b"],
  250. [241,"\u2264"],[242,"\u2265"],[243,">"],[244,"\u226f"],[245,"<"],[246,"\u226e"],[247,"\u2248"],[250,"\u223c\u2249"],[252,"\u2262"],[255,"\u2260"],[260,"=\u221d\u2224\u2225\u2226\u2241\u2243\u2244\u2245\u2246\u2247\u224d\u2254\u2257\u2259\u225a\u225c\u225f\u2261\u2268\u2269\u226a\u226b\u226d\u2270\u2271\u227a\u227b\u227c\u227d\u2280\u2281\u22a5\u22b4\u22b5\u22c9\u22ca\u22cb\u22cc\u22d4\u22d6\u22d7\u22d8\u22d9\u22ea\u22eb\u22ec\u22ed\u25a0\u25a1\u25aa\u25ab\u25ad\u25ae\u25af\u25b0\u25b1\u25b3\u25b4\u25b5\u25b6\u25b7\u25b8\u25b9\u25bc\u25bd\u25be\u25bf\u25c0\u25c1\u25c2\u25c3"+
  251. "\u25c4\u25c5\u25c6\u25c7\u25c8\u25c9\u25cc\u25cd\u25ce\u25cf\u25d6\u25d7\u25e6\u29c0\u29c1\u29e3\u29e4\u29e5\u29e6\u29f3\u2a87\u2a88\u2aaf\u2ab0"],[265,"\u2044\u2206\u220a\u220d\u220e\u2215\u2217\u2218\u2219\u221f\u2223\u2236\u2237\u2238\u2239\u223a\u223b\u223d\u223e\u223f\u2242\u224a\u224b\u224c\u224e\u224f\u2250\u2251\u2252\u2253\u2255\u2256\u2258\u225d\u225e\u2263\u2266\u2267\u226c\u2272\u2273\u2274\u2275\u2276\u2277\u2278\u2279\u227e\u227f\u228c\u228d\u228e\u228f\u2290\u2291\u2292\u2293\u2294\u229a\u229b\u229c\u229d\u22a6\u22a7\u22aa\u22ab\u22b0\u22b1\u22b2\u22b3\u22b6\u22b7\u22b9\u22ba\u22bb\u22bc\u22bd\u22be\u22bf\u22c4\u22c6\u22c7"+
  252. "\u22c8\u22cd\u22ce\u22cf\u22d0\u22d1\u22d2\u22d3\u22d5\u22da\u22db\u22dc\u22dd\u22de\u22df\u22e0\u22e1\u22e2\u22e3\u22e4\u22e5\u22e6\u22e7\u22e8\u22e9\u22f0\u22f2\u22f3\u22f4\u22f5\u22f6\u22f7\u22f8\u22f9\u22fa\u22fb\u22fc\u22fd\u22fe\u22ff\u25b2\u2758\u2981\u2982\u29a0\u29a1\u29a2\u29a3\u29a4\u29a5\u29a6\u29a7\u29a8\u29a9\u29aa\u29ab\u29ac\u29ad\u29ae\u29af\u29b0\u29b1\u29b2\u29b3\u29b4\u29b5\u29b6\u29b7\u29b8\u29b9\u29ba\u29bb\u29bc\u29bd\u29be\u29bf\u29c2\u29c3\u29c4"+"\u29c5\u29c6\u29c7\u29c8\u29c9\u29ca\u29cb\u29cc\u29cd\u29ce\u29cf\u29d0\u29d1\u29d2\u29d3\u29d4\u29d5\u29d6\u29d7\u29d8\u29d9\u29db\u29dc\u29dd\u29de\u29e0\u29e1\u29e2\u29e7\u29e8\u29e9\u29ea\u29eb\u29ec\u29ed\u29ee\u29f0\u29f1\u29f2\u29f5\u29f6\u29f7\u29f8\u29f9\u29fa\u29fb\u29fe\u29ff\u2a1d\u2a1e\u2a1f\u2a20\u2a21\u2a22\u2a23\u2a24\u2a25\u2a26\u2a27\u2a28\u2a29\u2a2a\u2a2b\u2a2c\u2a2d\u2a2e\u2a30\u2a31\u2a32\u2a33\u2a34\u2a35\u2a36\u2a37\u2a38\u2a39"+
  253. "\u2a3a\u2a3b\u2a3c\u2a3d\u2a3e\u2a40\u2a41\u2a42\u2a43\u2a44\u2a45\u2a46\u2a47\u2a48\u2a49\u2a4a\u2a4b\u2a4c\u2a4d\u2a4e\u2a4f\u2a50\u2a51\u2a52\u2a53\u2a54\u2a55\u2a56\u2a57\u2a58\u2a59\u2a5a\u2a5b\u2a5c\u2a5d\u2a5e\u2a5f\u2a60\u2a61\u2a62\u2a63\u2a64\u2a65\u2a66\u2a67\u2a68\u2a69\u2a6a\u2a6b\u2a6c\u2a6d\u2a6e\u2a6f\u2a70\u2a71\u2a72\u2a73\u2a74\u2a75\u2a76\u2a77\u2a78\u2a79\u2a7a\u2a7b\u2a7c\u2a7d\u2a7e\u2a7f\u2a80\u2a81\u2a82\u2a83\u2a84\u2a85\u2a86\u2a89\u2a8a\u2a8b\u2a8c\u2a8d\u2a8e\u2a8f"+
  254. "\u2a90\u2a91\u2a92\u2a93\u2a94\u2a95\u2a96\u2a97\u2a98\u2a99\u2a9a\u2a9b\u2a9c\u2a9d\u2a9e\u2a9f\u2aa0\u2aa1\u2aa2\u2aa3\u2aa4\u2aa5\u2aa6\u2aa7\u2aa8\u2aa9\u2aaa\u2aab\u2aac\u2aad\u2aae\u2ab1\u2ab2\u2ab3\u2ab4\u2ab5\u2ab6\u2ab7\u2ab8\u2ab9\u2aba\u2abb\u2abc\u2abd\u2abe\u2abf\u2ac0\u2ac1\u2ac2\u2ac3\u2ac4\u2ac5\u2ac6\u2ac7\u2ac8\u2ac9\u2aca\u2acb\u2acc\u2acd\u2ace\u2acf\u2ad0\u2ad1\u2ad2\u2ad3\u2ad4\u2ad5\u2ad6\u2ad7\u2ad8\u2ad9\u2ada\u2adb\u2add\u2add\u2ade\u2adf\u2ae0\u2ae1\u2ae2\u2ae3\u2ae4\u2ae5\u2ae6"+
  255. "\u2ae7\u2ae8\u2ae9\u2aea\u2aeb\u2aec\u2aed\u2aee\u2aef\u2af0\u2af1\u2af2\u2af3\u2af4\u2af5\u2af6\u2af7\u2af8\u2af9\u2afa\u2afb\u2afd\u2afe"],[270,"\u2190\u2191\u2192\u2193\u2194\u2195\u2196\u2197\u2198\u2199\u219a\u219b\u219c\u219d\u219e\u219f\u21a0\u21a1\u21a2\u21a3\u21a4\u21a5\u21a6\u21a7\u21a8\u21a9\u21aa\u21ab\u21ac\u21ad\u21ae\u21af\u21b0\u21b1\u21b2\u21b3\u21b4\u21b5\u21b6\u21b7\u21b8\u21b9\u21ba\u21bb\u21bc\u21bd\u21be\u21bf\u21c0\u21c1\u21c2\u21c3\u21c4\u21c5\u21c6\u21c7\u21c8\u21c9\u21ca\u21cb\u21cc\u21cd\u21ce\u21cf\u21d0\u21d1"+
  256. "\u21d2\u21d3\u21d4\u21d5\u21d6\u21d7\u21d8\u21d9\u21da\u21db\u21dc\u21dd\u21de\u21df\u21e0\u21e1\u21e2\u21e3\u21e4\u21e5\u21e6\u21e7\u21e8\u21e9\u21ea\u21eb\u21ec\u21ed\u21ee\u21ef\u21f0\u21f1\u21f2\u21f3\u21f4\u21f5\u21f6\u21f7\u21f8\u21f9\u21fa\u21fb\u21fc\u21fd\u21fe\u21ff\u22b8\u27f0\u27f1\u27f5\u27f6\u27f7\u27f8\u27f9\u27fa\u27fb\u27fc\u27fd\u27fe\u27ff\u2900\u2901\u2902\u2903\u2904"+"\u2905\u2906\u2907\u2908\u2909\u290a\u290b\u290c\u290d\u290e\u290f\u2910\u2911\u2912\u2913\u2914\u2915\u2916\u2917\u2918\u2919\u291a\u291b\u291c\u291d\u291e\u291f\u2920\u2921\u2922\u2923\u2924\u2925\u2926\u2927\u2928\u2929\u292a\u292b\u292c\u292d\u292e\u292f\u2930\u2931\u2932\u2933\u2934\u2935\u2936\u2937\u2938\u2939\u293a\u293b\u293c\u293d\u293e\u293f\u2940\u2941\u2942\u2943\u2944\u2945\u2946\u2947\u2948\u2949\u294a\u294b\u294c\u294d\u294e\u294f\u2950\u2951\u2952"+
  257. "\u2953\u2954\u2955\u2956\u2957\u2958\u2959\u295a\u295b\u295c\u295d\u295e\u295f\u2960\u2961\u2962\u2963\u2964\u2965\u2966\u2967\u2968\u2969\u296a\u296b\u296c\u296d\u296e\u296f\u2970\u2971\u2972\u2973\u2974\u2975\u2976\u2977\u2978\u2979\u297a\u297b\u297c\u297d\u297e\u297f\u2999\u299a\u299b\u299c\u299d\u299e\u299f\u29df\u29ef\u29f4\u2b45\u2b46"],[275,"+-\u00b1\u2212\u2213\u2214\u229e\u229f"],[300,"\u2295\u2296\u2298"],[340,"\u2240"],[350,"\u2229\u222a"],[390,"*.\u00d7\u2022\u2062\u22a0\u22a1\u22c5\u2a2f\u2a3f"],
  258. [400,"\u00b7"],[410,"\u2297"],[640,"%"],[650,"\\\u2216"],[660,"/\u00f7"],[710,"\u2299"],[825,"@"],[835,"?"],[850,"\u2061"],[880,"^_\u2064"]]);setPrecs(M.prefix_,[[10,"\u2018\u201c"],[20,"([{\u2016\u2308\u230a\u2772\u27e6\u27e8\u27ea\u27ec\u27ee\u2980\u2983\u2985\u2987\u2989\u298b\u298d\u298f\u2991\u2993\u2995\u2997\u29fc"],[230,"\u2200\u2203\u2204"],[290,"\u2211\u2a0a\u2a0b"],[300,"\u222c\u222d\u2a01"],[310,"\u222b\u222e\u222f\u2230\u2231\u2232\u2233\u2a0c\u2a0d\u2a0e\u2a0f\u2a10\u2a11\u2a12\u2a13\u2a14\u2a15\u2a16\u2a17\u2a18\u2a19\u2a1a\u2a1b\u2a1c"],
  259. [320,"\u22c3\u2a03\u2a04"],[330,"\u22c0\u22c1\u22c2\u2a00\u2a02\u2a05\u2a06\u2a07\u2a08\u2a09\u2afc\u2aff"],[350,"\u220f\u2210"],[670,"\u2220\u2221\u2222"],[680,"\u00ac"],[740,"\u2202\u2207"],[845,"\u2145\u2146\u221a\u221b\u221c"]]);setPrecs(M.postfix_,[[10,"\u2019\u201d"],[20,")]}\u2016\u2309\u230b\u2773\u27e7\u27e9\u27eb\u27ed\u27ef\u2980\u2984\u2986\u2988\u298a\u298c\u298e\u2990\u2992\u2994\u2996\u2998\u29fd"],[800,"\u2032\u266d\u266e\u266f"],[810,"!"],[880,"&'`~\u00a8\u00af\u00b0\u00b4\u00b8\u02c6\u02c7\u02c9\u02ca\u02cb\u02cd\u02d8\u02d9\u02da\u02dc\u02dd\u02f7\u0302\u0311\u203e\u20db\u20dc\u23b4\u23b5\u23dc\u23dd\u23de\u23df\u23e0\u23e1"]]);
  260. var s_,s_or_mx_a_,s_or_mx_i_,docP_,precAdj_;function newMe_(tagName,argsP){return M.newMe(tagName,argsP,docP_)}function emptyMe_(){return newMe_("mspace")}function scanWord(descP){var re=/\s*([-\w.]*)/g;re.lastIndex=M.re_.lastIndex;var match=re.exec(s_);if(!match[1])throw"Missing "+(descP||"word");M.re_.lastIndex=re.lastIndex;return match[1]}function scanString(descP){var re=/\s*(?:(["'])|([-\w.]*))/g;re.lastIndex=M.re_.lastIndex;var match=re.exec(s_);if(match[2]){M.re_.lastIndex=re.lastIndex;return match[2]}if(!match[1])throw"Missing "+
  261. (descP||"string");var c=match[1],re2=RegExp("[^\\`"+c+"]+|[\\`](.|\n)|("+c+")","g"),res="";re2.lastIndex=re.lastIndex;while(true){match=re2.exec(s_);if(!match)throw"Missing closing "+c;if(match[2])break;res+=match[1]||match[0]}M.re_.lastIndex=re2.lastIndex;return res}function scanMeTok(afterP){var tokP=scanTokP();if(!tokP||!tokP[0])throw"Missing expression argument"+(afterP?" after "+afterP:"")+", before position "+M.re_.lastIndex;return tokP}function mtokenScan(tagName){var s=scanString(tagName==
  262. "mtext"?"text":tagName);return[newMe_(tagName,s),tagName=="mo"?s:null]}function htmlScan(){var h=scanString("html"),e=$("<div/>",docP_||document).css("display","inline-block").html(h)[0];if(e.childNodes.length==1)e=e.childNodes[0];return[newMe_("mtext",e),null]}function spScan(){var widthS=scanString("\\sp width");return[M.spaceMe(widthS,docP_),/^[^-]*[1-9]/.test(widthS)?"\u2009":null]}function braceScan(){var tokP=scanTokP();if(tokP&&tokP[1]=="\u2196"&&!tokP[0]){var meTokP_tokP=parseEmbel();tokP=
  263. meTokP_tokP[1]||scanTokP();if(!(meTokP_tokP[0]&&tokP&&tokP[1]=="}"&&!tokP[0]))throw'Expected an embellished operator and "}" after "{\u2196", before position '+M.re_.lastIndex;return meTokP_tokP[0]}var mxP_tokP=parse_mxP_tokP(0,tokP);tokP=mxP_tokP[1];!tokP||tokP[1]=="}"&&!tokP[0]||F.err(err_braceScan_);return[mxP_tokP[0]||emptyMe_(),null]}function attrScan(nameP,mmlOnlyQ){if(!nameP)nameP=scanWord("attribute name");var v=scanString(nameP+" attribute"),tok=scanMeTok(nameP);if(!mmlOnlyQ||M.MathML)tok[0].setAttribute(nameP,
  264. v);return tok}function clScan(){var desc="CSS class name(s)",ws=scanString(desc),tok=scanMeTok(desc);M.addClass(tok[0],ws);return tok}function mvScan(sP){var s=sP||scanString("mathvariant"),tok=scanMeTok(s),me=tok[0];if(!F.elem(M.mtagName(me),["mi","mn","mo","mtext","mspace","ms"]))throw"Can only apply a mathvariant to a MathML token (atomic) element, at "+"position "+M.re_.lastIndex;me.setAttribute("mathvariant",s);if(/bold/.test(s))M.addClass(me,"ma-bold");else if(s=="normal"||s=="italic")M.addClass(me,
  265. "ma-nonbold");M.addClass(me,/italic/.test(s)?"ma-italic":"ma-upright");if(/double-struck/.test(s))M.addClass(me,"ma-double-struck");else if(/fraktur/.test(s))M.addClass(me,"ma-fraktur");else if(/script/.test(s))M.addClass(me,"ma-script");else if(/sans-serif/.test(s))M.addClass(me,"ma-sans-serif");return tok}function ovScan(){return[M.newMe("menclose",scanMeTok("\\ov")[0],{notation:"top"},docP_),null]}function minsizeScan(){var s=scanString("minsize"),tok=scanMeTok("minsize"),me=tok[0];if(M.mtagName(me)!=
  266. "mo")throw"Can only stretch an operator symbol, before position "+M.re_.lastIndex;if(M.MathML)me.setAttribute("minsize",s);else{var r=Number(s);if(r>1)checkVertStretch(0.6*r,0.6*r,me,true);else me.style.fontSize=s}return tok}function mrow1Scan(){return[newMe_("mrow",scanMeTok("\\mrowOne")[0]),null]}function binomScan(){function mtr1(e){return newMe_("mtr",newMe_("mtd",e))}var xMe=scanMeTok("\\binom")[0],yMe=scanMeTok("\\binom")[0],zMe=newMe_("mtable",F.map(mtr1,[xMe,yMe]));M.addClass(zMe,"ma-binom");
  267. if(!M.MathML){zMe.fmUp-=0.41;zMe.fmDn-=0.41}return[newMe_("mrow",[newMe_("mo","("),zMe,newMe_("mo",")")]),null]}M.macros_={mn:F(mtokenScan,"mn"),mi:F(mtokenScan,"mi"),mo:F(mtokenScan,"mo"),text:F(mtokenScan,"mtext"),html:htmlScan,sp:spScan,attr:attrScan,attrMML:F(attrScan,null,true),id:F(attrScan,"id"),dir:F(attrScan,"dir"),cl:clScan,mv:mvScan,bo:F(mvScan,"bold"),it:F(mvScan,"italic"),bi:F(mvScan,"bold-italic"),sc:F(mvScan,"script"),bs:F(mvScan,"bold-script"),fr:F(mvScan,"fraktur"),ds:F(mvScan,"double-struck"),
  268. bf:F(mvScan,"bold-fraktur"),ov:ovScan,minsize:minsizeScan,mrowOne:mrow1Scan,binom:binomScan};M.alias_={"-":M["-"],"'":"\u2032","\u212d":["C","fraktur"],"\u210c":["H","fraktur"],"\u2111":["I","fraktur"],"\u211c":["R","fraktur"],"\u2128":["Z","fraktur"],"\u212c":["B","script"],"\u2130":["E","script"],"\u2131":["F","script"],"\u210b":["H","script"],"\u2110":["I","script"],"\u2112":["L","script"],"\u2133":["M","script"],"\u211b":["R","script"],"\u212f":["e","script"],"\u210a":["g","script"],"\u2134":["o",
  269. "script"]};var spaces_={",":".17em",":":".22em",";":".28em","!":"-.17em"};function scanTokP(){var match=M.re_.exec(s_);while(!match){M.re_.lastIndex=s_.length;if(s_or_mx_i_==s_or_mx_a_.length)return null;var g=s_or_mx_a_[s_or_mx_i_++];if(typeof g=="string"){M.re_.lastIndex=0;s_=g;match=M.re_.exec(s_)}else if(g.nodeType==1)return[g,null];else F.err(err_scanTokP_)}var s1=match[2]||match[0],mvP=null;if(/^[_^}\u2196\u2199]$/.test(match[0])||match[2]&&M.macro1s_[s1])return[null,s1];if(match[0]=="{")return braceScan();
  270. if(match[2]&&M.macros_[s1])return M.macros_[s1]();if(match[1])return[M.newMe("mn",s1,docP_),null];if(/^[,:;!]$/.test(match[2]))s1="\u2009";else if(match[2]=="/")s1="\u2215";else if(M.alias_[s1]&&!match[2]){var t=M.alias_[s1];if(typeof t=="string")s1=t;else{s1=t[0];mvP=t[1]}}var opSP=M.infix_[s1]||M.prefix_[s1]||M.postfix_[s1]?s1:null,e;if(s1=="\u2009")e=M.spaceMe(spaces_[match[2]||","],docP_);else if(opSP){e=M.newMe("mo",s1,docP_);if(/^[\u2200\u2203\u2204\u2202\u2207]$/.test(s1)){e.setAttribute("lspace",
  271. ".11em");e.setAttribute("rspace",".06em")}else if(s1=="!"){e.setAttribute("lspace",".06em");e.setAttribute("rspace","0")}else if(s1=="\u00d7"){e.setAttribute("lspace",".22em");e.setAttribute("rspace",".22em")}}else{e=M.newMe("mi",s1,docP_);if(match[2]&&s1.length==1){e.setAttribute("mathvariant","normal");M.addClass(e,"ma-upright");if(!M.MathML)e.style.paddingRight="0"}else if(mvP){e.setAttribute("mathvariant",mvP);M.addClass(e,"ma-upright");M.addClass(e,"ma-"+mvP)}if(/\w\w/.test(s1))M.addClass(e,
  272. "ma-repel-adj")}return[e,opSP]}function parse_mtd_tokP(optQ){var mxP_tokP=parse_mxP_tokP(M.infix_[","]),tokP=mxP_tokP[1]||scanTokP(),mxP=mxP_tokP[0];if(!mxP){if(optQ&&!(tokP&&tokP[1]==","))return[null,tokP];mxP=emptyMe_()}var w=M.mtagName(mxP);if(w!="mtd"&&!(w=="mtr"&&optQ))mxP=M.newMe("mtd",mxP,docP_);return[mxP,tokP]}function parse_rowspan_tokP(){var v=scanString("rowspan"),mtd_tokP=parse_mtd_tokP(),mtd=mtd_tokP[0];mtd.setAttribute(M.MathML?"rowspan":"rowSpan",v);if(!M.hasClass(mtd,"middle"))M.addClass(mtd,
  273. "middle");return mtd_tokP}function parse_colspan_tokP(){var v=scanString("colspan"),mtd_tokP=parse_mtd_tokP();mtd_tokP[0].setAttribute(M.MathML?"columnspan":"colSpan",v);return mtd_tokP}function parse_mtr_tokP(optQ){var mtds=[];while(true){var mtdP_tokP=parse_mtd_tokP(mtds.length==0),mtdP=mtdP_tokP[0],tokP=mtdP_tokP[1]||scanTokP();if(mtdP){if(M.mtagName(mtdP)=="mtr")return[mtdP,tokP];mtds.push(mtdP)}if(!(tokP&&tokP[1]==","))return[mtds.length||!optQ||tokP&&tokP[1]==";"?M.newMe("mtr",mtds,docP_):null,
  274. tokP]}}function parse_table_tokP(){var mtrs=[];while(true){var mtrP_tokP=parse_mtr_tokP(mtrs.length==0),mtrP=mtrP_tokP[0],tokP=mtrP_tokP[1]||scanTokP();if(mtrP)mtrs.push(mtrP);if(!(tokP&&tokP[1]==";"))return[M.newMe("mtable",mtrs,docP_),tokP]}}function parse_math_tokP(){var mxP_tokP=parse_mxP_tokP(0);mxP_tokP[0]=M.newMe("math",mxP_tokP[0],docP_);return mxP_tokP}M.macro1s_={mtd:parse_mtd_tokP,rowspan:parse_rowspan_tokP,colspan:parse_colspan_tokP,mtr:parse_mtr_tokP,table:parse_table_tokP,math:parse_math_tokP};
  275. var embelWs_={"_":"sub","^":"sup","\u2199":"under","\u2196":"over"};function embelKP(op){var wP=embelWs_[op];return wP&&(wP.length<4?"ss":"uo")}function parseEmbel(meTokP,tokP){while(true){if(!tokP)tokP=scanTokP();if(!tokP||tokP[0]||!embelWs_[tokP[1]]){if(tokP&&!meTokP){meTokP=tokP;tokP=null;continue}return[meTokP,tokP]}var k=embelKP(tokP[1]),parseMxs=function(){var mxs={},doneQs={};while(true){if(!tokP)tokP=scanTokP();if(!tokP||tokP[0])break;var op=tokP[1];if(embelKP(op)!=k||doneQs[op])break;doneQs[op]=
  276. true;tokP=scanTokP();if(tokP&&embelKP(tokP[1])==k&&!tokP[0])continue;var mxP_tokP=parse_mxP_tokP(999,tokP);mxs[op]=mxP_tokP[0];tokP=mxP_tokP[1]}return mxs},mxs=parseMxs();if(k=="uo"||!tokP||(tokP[0]?meTokP:embelKP(tokP[1])!="ss")){if(!meTokP)meTokP=[emptyMe_(),null];var w="m",a=[meTokP[0]];F.iter(function(op){if(mxs[op]){w+=embelWs_[op];a.push(mxs[op])}},["_","^","\u2199","\u2196"]);if(a.length>1)meTokP=[M.newMe(w,a,docP_),meTokP[1]]}else{var mxsPA=[mxs];while(tokP&&!tokP[0]&&embelKP(tokP[1])=="ss")mxsPA.push(parseMxs());
  277. if(!meTokP)if(!tokP||!tokP[0])meTokP=[emptyMe_(),null];else{meTokP=tokP;tokP=scanTokP();var postA=[];while(tokP&&!tokP[0]&&embelKP(tokP[1])=="ss")postA.push(parseMxs());mxsPA=postA.concat(null,mxsPA)}var a=[meTokP[0]];F.iter(function(mxsP){if(!mxsP)a.push(M.newMe("mprescripts",null,docP_));else a.push(mxsP["_"]||M.newMe("none",null,docP_),mxsP["^"]||M.newMe("none",null,docP_))},mxsPA);meTokP=[M.newMe("mmultiscripts",a,docP_),meTokP[1]]}}}function parse_mxP_tokP(prec,tokP){var mx0p=null;while(true){if(!tokP){tokP=
  278. scanTokP();if(!tokP)break}var op=tokP[1];if(!op||mx0p&&(tokP[0]?!(M.infix_[op]||M.postfix_[op]):M.macro1s_[op]))if(!mx0p){mx0p=tokP[0];tokP=null}else{if(prec>=precAdj_)break;var mxP_tokP=parse_mxP_tokP(precAdj_,tokP),mx1=mxP_tokP[0];mx1||F.err(err_parse_mxP_tokP_1_);var e=M.newMe("mrow",[mx0p,mx1],docP_);if(M.hasClass(mx0p,"ma-repel-adj")||M.hasClass(mx1,"ma-repel-adj")){if(!(op&&tokP[0]&&M.prefix_[op]<25))$(mx0p).after(M.spaceMe(".17em",docP_));M.addClass(e,"ma-repel-adj")}mx0p=e;tokP=mxP_tokP[1]}else{var moP=
  279. tokP[0];if(moP){var precL=M.infix_[op]||M.postfix_[op];if(precL&&prec>=precL)break;var precROpt=M.infix_[op]||!(mx0p&&M.postfix_[op])&&M.prefix_[op];if(!M.MathML&&!mx0p&&290<=precROpt&&precROpt<=350){$(moP).addClass("fm-large-op");moP.fmUp=0.85*1.3-0.25;moP.fmDn=0.35*1.3+0.25}var meTok_tokP=parseEmbel(tokP),a=[];meTok_tokP[0]||F.err(err_parse_mxP_tokP_embel_);var extOp=meTok_tokP[0][0];tokP=meTok_tokP[1];if(mx0p)a.push(mx0p);a.push(extOp);if(precROpt){var mxP_tokP=parse_mxP_tokP(precROpt,tokP);if(mxP_tokP[0])a.push(mxP_tokP[0]);
  280. tokP=mxP_tokP[1];if(precROpt<25&&!mx0p){if(!tokP)tokP=scanTokP();if(tokP&&tokP[1]&&tokP[0]&&(M.postfix_[tokP[1]]||M.infix_[tokP[1]])==precROpt){a.push(tokP[0]);tokP=null}}}if(a.length==1)mx0p=a[0];else if(op=="/"&&mx0p&&a.length==3||op=="\u221a"&&!mx0p&&a.length==2)if(op=="\u221a"&&M.mtagName(a[0])=="msup")mx0p=M.newMe("mroot",[a[1],M.mchilds(a[0])[1]],docP_);else{a.splice(a.length-2,1);mx0p=M.newMe(op=="/"?"mfrac":"msqrt",a,docP_)}else{var e=M.newMe("mrow",a,docP_);if(op=="\u2009"||(precL||precROpt)>=
  281. precAdj_);else{var k="";if(op=="=")k="infix-loose";else if(a.length==2){k=mx0p?"postfix":"prefix";if(M.infix_[op])k+="-tight";else{if(/^[\u2200\u2203\u2204\u2202\u2207]$/.test(op))k="quantifier";M.addClass(e,"ma-repel-adj")}}else if(mx0p){k=op==","||op==";"?"separator":precL<=270?"infix-loose":"infix";if(op=="|"&&M.MathML&&moP.tagName=="mo"){moP.setAttribute("lspace",".11em");moP.setAttribute("rspace",".11em")}}if(!M.MathML&&k&&!moP.style.fontSize)$(extOp).addClass("fm-"+k)}mx0p=e}}else if(op=="}")break;
  282. else if(M.macro1s_[op]){!mx0p||F.err(err_parse_mxP_tokP_macro_);var mxP_tokP=M.macro1s_[op]();mx0p=mxP_tokP[0];tokP=mxP_tokP[1]}else{embelWs_[op]||F.err(err_parse_mxP_tokP_script_);if(prec>=999)break;var meTok_tokP=parseEmbel(mx0p&&[mx0p,null],tokP),meTok=meTok_tokP[0];meTok||F.err(err_parse_mxP_tokP_embel_2_);tokP=meTok_tokP[1];var a=[meTok[0]],opP=meTok[1];if(opP){var precROpt=M.infix_[opP]||M.prefix_[opP];if(precROpt){var mxP_tokP=parse_mxP_tokP(precROpt,tokP);if(mxP_tokP[0])a.push(mxP_tokP[0]);
  283. tokP=mxP_tokP[1]}}mx0p=a.length==1?a[0]:M.newMe("mrow",a,docP_)}}}return[mx0p,tokP]}M.sToMe=function(g,docP){if(!docP)docP=document;M.infix_[""]&&M.infix_[","]||F.err(err_sToMe_1_);if(M.MathML==null)M.MathML=M.canMathML();M.re_.lastIndex=0;s_="";s_or_mx_a_=Array.isArray(g)?g:[g];s_or_mx_i_=0;docP_=docP;precAdj_=M.infix_[""];var mxP_tokP=parse_mxP_tokP(0);if(mxP_tokP[1])throw"Extra input:  "+mxP_tokP[1][1]+s_.substring(M.re_.lastIndex)+(s_or_mx_i_<s_or_mx_a_.length?"...":"");if(M.re_.lastIndex<s_.length||
  284. s_or_mx_i_<s_or_mx_a_.length)F.err(err_sToMe_2_);return mxP_tokP[0]};M.sToMathE=function(g,blockQ,docP){var res=M.sToMe(g,docP);if(!(res&&F.elem(M.mtagName(res),["math","fmath"])))res=M.newMe("math",res,docP);if(typeof g=="string")res.setAttribute("alttext",g);return M.setMathBlockQ(res,blockQ)};M.$mathQ=true;M.inline$$Q=false;M.parseMath=function(nod){if(nod.nodeType==1&&nod.tagName!="SCRIPT")if(nod.tagName.toUpperCase()=="MATH"){var newE=M.eToMathE(nod);if(newE!=nod)nod.parentNode.replaceChild(newE,
  285. nod)}else for(var p=nod.firstChild;p;){var restP=p.nextSibling;M.parseMath(p);p=restP}else if(nod.nodeType==3&&/[$\\]/.test(nod.data)){var doc=nod.ownerDocument,s=nod.data,a=[],t="",re=/\\([$\\])|\$\$?|\\[([]/g;while(true){var j=re.lastIndex,m=re.exec(s),k=m?m.index:s.length;if(j<k)t+=s.substring(j,k);if(m&&m[1])t+=m[1];else{var i=-1,z;if(m){z=m[0]=="\\("?"\\)":m[0]=="\\["?"\\]":m[0];if(re.lastIndex<s.length&&(m[0]!="$"||M.$mathQ)){i=s.indexOf(z,re.lastIndex);while(i!=-1&&s.charAt(i-1)=="\\")i=s.indexOf(z,
  286. i+1)}if(i==-1){t+=m[0];continue}}if(t){a.push(doc.createTextNode(t));t=""}if(!m)break;var blockQ=m[0]=="$$"||m[0]=="\\[",e=M.sToMathE(s.substring(re.lastIndex,i),blockQ,doc);if(blockQ&&M.inline$$Q&&F.elem(nod.parentNode.nodeName,["P","SPAN"])){var wrap$=$("<div/>",doc).css("display","inline-block").append(e);e=wrap$[0]}a.push(e);re.lastIndex=i+z.length}}F.iter(function(x){nod.parentNode.insertBefore(x,nod)},a);nod.parentNode.removeChild(nod)}};M.parseMathQ=true;$(function(){if(M.MathML==null)M.MathML=
  287. M.canMathML();if(M.parseMathQ)try{M.parseMath(document.body)}catch(exc){alert(exc)}});return M}();var M;if(M===undefined)M=jqMath;
  288.