/*
 *  jsMath-fallback-pc.js
 *  
 *  Part of the jsMath package for mathematics on the web.
 *
 *  This file makes changes needed for when the TeX fonts are not available
 *  with a browser on the PC.
 *
 *  ---------------------------------------------------------------------
 *
 *  Copyright 2004-2010 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.
 */

jsMath.Script.Uncompress([
  ['jsMath.Add(jsMath.TeX,{cmr10',':[{c:"&Gamma;",','tclass:"greek"},{c:"&','Delta;",',2,'Theta;",',2,'Lambda;",',2,'Xi;",',2,'Pi;",',2,'Sigma;",',2,'Upsilon;",',2,'Phi;",',2,'Psi;",',2,'Omega;",','tclass:"','greek','"},{c',':"ff','",ic:0.0778,krn:{"39":0.0778,"63":0.0778,"33":0.0778,"41":0.0778,"93":0.0778},lig:{"105":','14,"108":15},','tclass:"normal"},{c',':"fi",',28,':"fl",',28,':"ffi",',28,':"ffl",',28,':"&#x131',';",a:0,',28,':"j",d:0.2,',28,':"&#x2CB;",',22,'accent','"},{c:"&#','x2CA;",',22,44,45,'x2C7;",',22,44,45,'x2D8;",',22,44,45,'x2C9;",',22,44,45,'x2DA;",',22,44,45,'x0327;",',28,':"&#xDF;",',28,':"&#xE6',38,28,':"&#x153',38,28,':"&#xF8;",',28,':"&#xC6;",',28,':"&#x152;",',28,':"&#xD8;",',28,':"?",krn:{"108":-0.278,"76":-0.319},',28,':"!",lig:{"96":60},',28,':"&#x201D;",',28,':"#",',28,':"$",',28,':"%",',28,':"&amp;",',28,':"&#x2019;",krn:{"63":0.111,"33":0.','111},','lig:{"39":34},',28,':"(",','d:0.2,',28,':")",',103,28,':"*",',28,':"+",a',':0.1,',28,':",",a:-','0.3,d:0.2,','w:0.278,',28,':"-",a:0,lig:{"45":123},',28,':".",a:-0.','25,',28,':"/",',28,':"0",',28,':"1",',28,':"2",',28,':"3",',28,':"4",',28,':"5",',28,':"6",',28,':"7",',28,':"8",',28,':"9",',28,':":",',28,':";",',28,':"&#xA1;",',28,':"=",a:0,d:-0.1,',28,':"&#xBF;",',28,':"?",lig:{"96":62},',28,':"@",',28,':"A','",krn:{"','116','":-0.0278,"','67',161,'79',161,'71',161,'85',161,'81',161,'84','":-0.0833,"','89',173,'86','":-0.111',',"87":-0.',99,28,':"B",',28,':"C",',28,':"D',159,'88',161,'87',161,'65',161,'86',161,'89','":-0.0278','},',28,':"E",',28,':"F',159,'111',173,'101',173,'117','":-0.0833,"114":-0.0833,"97":-0.0833,"65":-0.','111,"79',161,'67',161,'71',161,'81',196,'},',28,':"G",',28,':"H",',28,':"I',159,'73":0.','0278','},',28,':"J",',28,':"K',159,'79',161,'67',161,'71',161,'81',196,'},',28,':"L',159,'84',173,'89',173,'86',177,178,99,28,':"M",',28,':"N",',28,':"O',159,'88',161,'87',161,'65',161,'86',161,'89',196,'},',28,':"P',159,'65',173,'111',161,'101',161,'97',161,'46',173,'44":-0.0833},',28,':"Q",',103,28,':"R',159,'116',161,'67',161,'79',161,'71',161,'85',161,'81',161,'84',173,'89',173,'86',177,178,99,28,':"S",',28,':"T',159,'121',161,'101',173,'111',208,'0833,"117":-0.0833','},',28,':"U",',28,':"V",','ic:0.0139,krn:{"','111',173,'101',173,'117',208,'111,"79',161,'67',161,'71',161,'81',196,'},',28,':"W",',328,'111',173,'101',173,'117',208,'111,"79',161,'67',161,'71',161,'81',196,'},',28,':"X',159,'79',161,'67',161,'71',161,'81',196,'},',28,':"Y",ic:0.025,','krn:{"101',173,'111',208,322,'},',28,':"Z",',28,':"[",d',111,28,':"&#x201C;",',28,':"]",d',111,28,':"&#x2C6;",',22,44,45,'x2D9;",',22,44,45,'x2018;",lig:{"96":92},',28,':"a','",a:0,krn:{"','118',161,'106":0.','0556,"121',161,'119',196,'},',28,':"b',159,'101','":0.0278,"','111',417,'120',161,'100',417,'99',417,'113',417,'118',161,407,'0556,"121',161,'119',196,'},',28,':"c',404,'104',161,'107',196,'},',28,':"d",',28,':"e",a:0,',28,':"f',26,'12,"102":11,"108":13},',28,':"g",','a:0,d:0.2,ic:0.','0139,krn:{"',407,226,'},',28,':"h',159,'116',161,'117',161,'98',161,'121',161,'118',161,'119',196,'},',28,':"i",',28,40,28,':"k',159,'97','":-0.0556,"','101',161,'97',161,'111',161,'99',196,'},',28,':"l",',28,':"m',404,'116',161,'117',161,'98',161,'121',161,'118',161,'119',196,'},',28,':"n',404,'116',161,'117',161,'98',161,'121',161,'118',161,'119',196,'},',28,':"o',404,'101',417,'111',417,'120',161,'100',417,'99',417,'113',417,'118',161,407,'0556,"121',161,'119',196,'},',28,':"p",a:0,',103,376,417,'111',417,'120',161,'100',417,'99',417,'113',417,'118',161,407,'0556,"121',161,'119',196,'},',28,':"q",a:0,',103,28,':"','r",a:0,',28,':"s",a:0,',28,':"t',159,'121',161,'119',196,'},',28,':"u',404,'119',196,'},',28,':"v",a:0,',328,'97',483,'101',161,'97',161,'111',161,'99',196,'},',28,':"w",a:0,',328,'101',161,'97',161,'111',161,'99',196,'},',28,':"x",a:0,',28,':"y",',454,455,'111',161,'101',161,'97',161,'46',173,'44":-0.0833},',28,':"z",a:0,',28,':"&#x2013',';",a:0.1,','ic:0.0278,','lig:{"45":124},',28,':"&#x2014',640,641,28,':"&#x2DD;",',22,44,45,'x2DC;",',22,44,45,'xA8;",',22,44,'"}],cmmi10',1,'ic:0.139',',krn:{"61":-0.0556,"59":-0.111,"58":-0.111,"127":0.','0833},',22,'igreek"},{c:"&',3,'krn:{"127":0.','167},',22,665,5,'ic:0.',226,',krn:{"127":0.','0833},',22,665,7,667,'167},',22,665,9,'ic:0.0757',674,'0833},',22,665,11,'ic:0.0812,krn:{"61',483,'59":-0.0556,"58":-0.0556,"127":0.','0556},',22,665,13,'ic:0.0576',674,'0833},',22,665,15,'ic:0.139',662,'0556},',22,665,17,667,'0833},',22,665,19,'ic:0.11,krn:{"61',483,692,'0556},',22,665,21,'ic:0.0502',674,'0833},',22,665,'alpha',';",a:0,ic:0.','0037',674,226,'},',2,'beta;",','d:0.2,ic:0.','0528',674,'0833},',2,'gamma;",',454,'0556,',2,'delta;",ic:0.0378,krn:{"',692,'0556},',2,'epsilon;",a:0',674,'0556},',22,'lucida',24,':"&zeta;",',734,'0738',674,'0833},',2,'eta;",',454,'0359',674,'0556},',2,'theta;",ic:0.',226,674,'0833},',2,'iota;",a:0',674,'0556},',2,'kappa',38,2,'lambda;",',2,'mu',38,'d:0.2',674,226,'},',2,'nu',727,'0637,krn:{"',692,226,'},',2,'xi;",',734,'046',674,99,2,'pi',727,'0359,',2,'rho',38,'d:0.2',674,'0833},',2,'sigma',727,801,'krn:{"59',483,'58":-0.0556','},',2,'tau',727,'113,krn:{"',692,226,'},',2,'upsilon',727,'0359',674,226,'},',2,'phi',640,'d:0.2',674,'0833},',2,'chi',38,'d:0.2',674,'0556},',2,'psi',640,734,'0359',674,99,2,'omega',727,801,2,'epsilon;",a:0',674,'0833},',22,'greek',45,'x3D1;",',667,'0833},',22,'lucida',45,'x3D6',727,226,',',22,'lucida',45,'x3F1',38,'d:0.2',674,'0833},',22,'lucida',45,'x3C2;",',454,'0799',674,'0833},',22,'lucida',45,'x3D5',640,'d:0.2',674,'0833},',22,'lucida',45,'x21BC',';",a:0,d:-0.','2,',22,'arrows',45,'x21BD',898,'1,',22,'arrows',45,'x21C0',898,'2,',22,'arrows',45,'x21C1',898,'1,',22,'arrows',24,':\'<span style="','position:relative; ','top:-.1em; ','display:inline-block">&#','x02D3',';</span>\',a:0','.1,',22,'symbol"},{c',921,922,'top:-.1em; ',924,'x02D2',926,'.1,','tclass:"symbol"},{c:"&#','x25B9;",',937,'x25C3;",',22,929,':"0",',28,':"1",',28,':"2",',28,':"3",',28,':"4",',28,':"5",',28,':"6",',28,':"7",',28,':"8",',28,':"9",',28,119,'3,',28,':",",a:-',114,28,':"&lt',640,28,921,'font-size:','133%; ',922,'top:.1em','; display:inline-block">/</span>\',d:0.','1,krn:{"1',483,'65',483,'77',483,'78',483,'89":0.0556,"90":-0.0556},',28,':"&gt',640,28,':"&#x22C6',38,22,'arial',45,'x2202;",ic:0.0556',674,'0833},',28,':"A",',667,'139','},tclass:"italic"},{c:"','B",ic:0.0502',674,'0833',1003,'C",ic:0.0715,krn:{"61',161,692,'0833',1003,'D",ic:0.',226,674,'0556',1003,'E",ic:0.0576',674,'0833',1003,'F",ic:0.139',662,'0833',1003,'G",',667,'0833',1003,'H",ic:0.0812,krn:{"61',483,692,'0556',1003,'I",ic:0.0785',674,'111',1003,'J",ic:0.0962',662,'167',1003,'K",ic:0.0715,krn:{"61',483,692,'0556',1003,'L",',667,226,1003,'M','",ic:0.109,krn:{"','61',483,692,'0833',1003,'N',1053,'61',173,'61',161,692,'0833',1003,'O",ic:0.',226,674,'0833',1003,'P",ic:0.139',662,'0833',1003,'Q",d:0.2',674,'0833',1003,'R",ic:0.00773',674,'0833',1003,'S",ic:0.0576,krn:{"61',483,692,'0833',1003,'T','",ic:0.139,krn:{"','61',161,692,'0833',1003,'U',1053,'59',177,',"58',177,',"61',483,'127":0.',226,1003,'V",ic:0.222,krn:{"59','":-0.167,"','58',1109,'61',177,1003,'W',1091,'59',1109,'58',1109,'61',177,1003,'X",ic:0.0785,krn:{"61',173,'61',161,692,'0833',1003,'Y",ic:0.222,krn:{"59',1109,'58',1109,'61',177,1003,'Z",ic:0.0715,krn:{"61',483,692,'0833},',22,'italic',45,'x266D;",',937,'x266E;",',937,'x266F;",',22,929,921,922,'top:-.3em; ',973,'75%; ',924,'x203F',926,',d:-0.1,',22,994,24,921,922,'top',':.4em; ',973,'75%; ',924,'x2040',926,',d:-0.1,',22,994,45,'x2113;",',667,'111',1003,'a",a:0,',22,'italic"},{c:"','b",',22,1183,'c",a:0',674,'0556',1003,'d',159,'89":0.0556,"90',483,'106',177,',"102',1109,1105,'167',1003,'e",a:0',674,'0556',1003,'f",',734,'108,krn:{"',692,'167',1003,'g",',454,'0359',674,226,1003,'h',159,'127',196,1003,'i",',22,1183,'j",',734,'0572,krn:{"59',483,814,1003,'k",ic:0.0315,',22,1183,'l",ic:0.0197',674,'0833',1003,'m",a:0,',22,1183,'n",a:0,',22,1183,'o",a:0',674,'0556',1003,'p",a:0,d:0.2',674,'0833',1003,'q",',454,'0359',674,'0833',1003,578,641,'krn:{"',692,'0556',1003,'s",a:0',674,'0556',1003,'t",',667,'0833',1003,'u",a:0',674,226,1003,'v",a:0,ic:0.0359',674,226,1003,'w",a:0,ic:0.0269',674,'0833',1003,'x",a:0',674,226,1003,'y",',454,'0359',674,'0556',1003,'z",a:0,ic:0.044',674,'0556},',22,'italic',45,'x131;",a:0',674,226,1003,'j",d:0.2',674,'0833},',22,'italic',45,'x2118',38,'d:0.2',674,99,22,994,24,921,922,'left:.3em; top:-.65em; font-size: 67%; ',924,'x2192',';</span>\',','ic:0.154,',937,'x0311;",ic:0.399,',22,'normal"}],cmsy10:[{c',921,922,'top:.1em; ',924,'x2212',926,'.1,',937,'xB7',898,'2,',28,':"&#xD7',38,28,921,922,'top:.3em; ',924,'x2A',926,',',28,':"&#xF7',38,28,':"&#x25CA;",',937,'xB1',640,28,':"&#x2213;",',937,'x2295;",',937,'x2296;",',937,'x2297;",',937,'x2298;",',937,'x2299;",',937,'x25EF;",',22,994,45,'x2218',898,'1,',22,'symbol2',45,'x2022',898,'2,',937,'x224D',640,22,'symbol2',45,'x2261',640,22,'symbol2',45,'x2286;",',937,'x2287;",',937,'x2264;",',937,'x2265;",',937,'x227C;",',937,'x227D;",',22,929,':"~",a:0,d:-0.2,',28,':"&#x2248',640,'d:-0.1,',937,'x2282;",',937,'x2283;",',937,'x226A;",',937,'x226B;",',937,'x227A;",',937,'x227B;",',937,'x2190;",a:-0.1,',22,'arrow1',45,'x2192;",a:-0.1,',22,'arrow1',45,'x2191',';",a:0.2,d:0',',',22,'arrow1a',45,'x2193',1437,',',22,'arrow1a',45,'x2194;",a:-0.1,',22,'arrow1',45,'x2197',640,22,'arrows',45,'x2198',640,22,'arrows',45,'x2243',640,22,'symbol2',45,'x21D0;",a:-0.1,',22,'arrow2',45,'x21D2;",a:-0.1,',22,'arrow2',45,'x21D1',1437,'.1,',22,'arrow1a',45,'x21D3',1437,'.1,',22,'arrow1a',45,'x21D4;",a:-0.1,',22,'arrow2',45,'x2196',640,22,'arrows',45,'x2199',640,22,'arrows',45,'x221D',640,28,921,973,974,'margin-right:-.','1em; ','position: relative; top',1167,924,'x2032',926,',',22,'lucida',45,'x221E',640,937,'x2208;",',937,'x220B;",',22,929,921,973,'150%; ',922,'top:.2em; ',924,'x25B3',1324,22,929,921,973,'150%; ',922,'top:.2em; ',924,'x25BD',1324,22,929,921,973,974,922,'top:.2em',977,'2,',28,921,973,'67%; ',1509,':-.15em; ',1507,'3em; ',924,'x22A2',1324,937,'x2200;",',937,'x2203;",',937,'xAC',898,'1,',937,'x2205;",',937,'x211C;",',937,'x2111;",',937,'x22A4;",',937,'x22A5;",',937,'x2135;",',22,929,':"A',159,'48":0.194},',22,'cal"},{c:"','B",ic:0.0304',',krn:{"48":0.','139},',22,1590,'C",ic:0.0583',1592,'139},',22,1590,'D",ic:0.',226,1592,'0833},',22,1590,'E",ic:0.0894',1592,99,22,1590,'F",ic:0.0993',1592,99,22,1590,'G",',734,'0593',1592,99,22,1590,'H",ic:0.00965',1592,99,22,1590,'I",ic:0.0738',1592,226,'},',22,1590,'J",',734,'185',1592,'167},',22,1590,'K",ic:0.0144',1592,'0556},',22,1590,'L',159,'48":0.139},',22,1590,'M',159,'48":0.139},',22,1590,'N",ic:0.147',1592,'0833},',22,1590,'O",ic:0.',226,1592,99,22,1590,'P",ic:0.0822',1592,'0833},',22,1590,'Q",d:0.2',1592,99,22,1590,'R',159,'48":0.0833},',22,1590,'S",ic:0.075',1592,'139},',22,1590,'T",ic:0.254',1592,226,'},',22,1590,'U",ic:0.0993',1592,'0833},',22,1590,'V",ic:0.0822',1592,226,'},',22,1590,'W",ic:0.0822',1592,'0833},',22,1590,'X",ic:0.146',1592,'139},',22,1590,'Y",ic:0.0822',1592,'0833},',22,1590,'Z",ic:0.0794',1592,'139},',22,'cal',45,'x22C3;",',937,'x22C2;",',937,'x228E;",',937,'x22C0;",',937,'x22C1;",',937,'x22A2;",',937,'x22A3;",',937,'x230A;",','a:',114,22,'lucida',45,'x230B;",','a:',114,22,'lucida',45,'x2308;",','a:',114,22,'lucida',45,'x2309;",','a:',114,22,'lucida',24,':"{",',103,28,':"}",',103,28,':"&#','x2329;",','a:',114,937,'x232A;",','a:',114,937,'x2223;",d',111,937,'x2225;",d',111,937,'x2195',1437,',',22,'arrow1a',45,'x21D5;",a:0.3,d:0,',22,'arrow1a',45,'x2216;",','a:0.3,d',111,937,'x2240;",',22,'symbol','"},{c:\'<span style="display:inline-block; ',922,'top:.8em">&#x221A',1324,'h:0.04,d:0.8,',937,'x2210;",a:0.4,',937,'x2207;",',22,'symbol',1802,922,973,'85%; ','left:-.1em; margin-right:-.','2em">&#x222B',926,'.4,d',111,'ic:0.111,',22,'lucida',45,'x2294;",',937,'x2293;",',937,'x2291;",',937,'x2292;",',937,'xA7;",d',111,28,':"&#x2020;",d',111,28,':"&#x2021;",d',111,28,':"&#xB6;",a:0.3,d',111,22,'lucida',45,'x2663;",',22,994,45,'x2662;",',22,994,45,'x2661;",',22,994,45,'x2660;",',22,994,'"}],cmex10:[{c',102,'h:0.04,d:1.16,n:','16,',22,'delim1','"},{c:")",',1865,'17,',22,'delim1','"},{c:"[",',1865,'104,',22,'delim1','"},{c:"]",',1865,'105,',22,'delim1',45,1740,1865,'106,',22,'delim1a',45,1746,1865,'107,',22,'delim1a',45,1752,1865,'108,',22,'delim1a',45,1758,1865,'109,',22,'delim1a',1802,'margin-left',':-.1em">{</','span>\',',1865,'110,',22,'delim1',1802,1507,'1em">}</',1911,1865,'111,',22,'delim1',45,1771,1865,'68,',22,'delim1b',45,1775,1865,'69,',22,'delim1b',45,'x2223',';",h:0.7,d:0.1,delim:{rep:','12},',937,'x2225',1938,'13},',22,929,122,1865,'46,',22,'delim1a',45,1795,1865,'47,',22,'delim1a',24,102,'h:0.04,d:1.76,n:','18,',22,'delim2',1869,1959,'19,',22,'delim2',24,102,'h:0.04,d:2.36,n:','32,',22,'delim3',1869,1970,'33,',22,'delim3',1874,1970,'34,',22,'delim3',1879,1970,'35,',22,'delim3',45,1740,1970,'36,',22,'delim3a',45,1746,1970,'37,',22,'delim3a',45,1752,1970,'38,',22,'delim3a',45,1758,1970,'39,',22,'delim3a',1802,922,1817,'1em">{</',1911,1970,'40,',22,'delim3',1802,922,'left:-.05em; ',1507,'1em">}</',1911,1970,'41,',22,'delim3',45,1771,1970,'42,',22,'delim3b',45,1775,1970,'43,',22,'delim3b',24,122,1970,'44,',22,'delim3a',45,1795,1970,'45,',22,'delim3a',24,102,'h:0.04,d:2.96,','n:48,',22,'delim4',1869,2058,'n:49,',22,'delim4',1874,2058,'n:50,',22,'delim4',1879,2058,'n:51,',22,'delim4',45,1740,2058,'n:52,',22,'delim4a',45,1746,2058,'n:53,',22,'delim4a',45,1752,2058,'n:54,',22,'delim4a',45,1758,2058,'n:55,',22,'delim4a',1802,922,1817,'1em">{</',1911,2058,'n:56,',22,'delim4',1802,922,1817,'1em">}</',1911,2058,'n:57,',22,'delim4',45,1771,2058,22,'delim4b',45,1775,2058,22,'delim4b',24,122,2058,22,'delim4a',45,1795,2058,22,'delim4a',24,122,1959,'30,',22,'delim2a',45,1795,1959,'31,',22,'delim2a',45,'xE6',';",h:1,delim:{top:','48,bot:64,rep:66},',22,'delimx',45,'xF6',2153,'49,bot:65,rep:67},',22,'delimx',45,'xE9',2153,'50,bot:52,rep:54},',22,'delimx',45,'xF9',2153,'51,bot:53,rep:55},',22,'delimx',45,'xEB',';",h:1,delim:{bot:','52,rep:54},',22,'delimx',45,'xFB',2177,'53,rep:55},',22,'delimx',45,'xEA',2153,'50,rep:54},',22,'delimx',45,'xFA',2153,'51,rep:55},',22,'delimx',45,'xEC',2153,'56,mid:60,bot:58,rep:62},',22,'delimx',45,'xFC',2153,'57,mid:61,bot:59,rep:62},',22,'delimx',45,'xEE',2153,'56,bot:58,rep:62},',22,'delimx',45,'xFE',2153,'57,bot:59,rep:62},',22,'delimx',45,'xED',';",h:1,delim:{rep:','63},',22,'delimx',45,'xFD',2225,'119},',22,'delimx',45,'xEF',2225,'62},',22,'delimx',1802,1909,':.14em; margin-right:.36em">|</',1911,'delim:{top:120,bot:121,rep:63},',28,':"&#xE8',2153,'56,bot:59,rep:62},',22,'delimx',45,'xF8',2153,'57,bot:58,rep:62},',22,'delimx',45,'xE7',2225,'66},tclass:"delimx"},{c'],
  [':"&#','xF7;",h:1,delim:{rep:67},','tclass:"','delimx','"},{c:"&#','x2329;",','h:0.04,d:1.76,n:','28',',tclass:"','delim2b',4,'x232A;",',6,'29',8,9,4,'x2294',';",h:0,d:1,n:','71',8,'bigop1',4,'x2294',';",h:0.1,d:1.','5',8,'bigop2',4,'x222E',';",h:0,d:1.11,ic:0.095,n:','73',8,'bigop1c',4,'x222E;",h:0,d:2.22,ic:0.222',8,'bigop2c',4,'x2299',18,'75',8,21,4,'x2299',24,'5',8,27,4,'x2295',18,'77',8,21,4,'x2295',24,'5',8,27,4,'x2297',18,'79',8,21,4,'x2297',24,'5',8,27,4,'x2211',18,'88',8,'bigop1a',4,'x220F',18,'89',8,79,4,'x222B',30,'90',8,33,4,'x222A',18,'91',8,'bigop1b',4,'x2229',18,'92',8,97,4,'x228E',18,'93',8,97,4,'x22C0',18,'94',8,21,4,'x22C1',18,'95',8,21,4,'x2211',24,'6',8,'bigop2a',4,'x220F',24,'5',8,127,4,'x222B;",h:0,d:2.22,ic:0.222',8,37,4,'x222A',24,'5',8,'bigop2b',4,'x2229',24,'5',8,143,4,'x228E',24,'5',8,143,4,'x22C0',24,'5',8,27,4,'x22C1',24,'5',8,27,4,'x2210',18,'97',8,79,4,'x2210',24,'5',8,127,4,'xFE3F;",h:0.','8,d:0,w:0.65,n:99',8,'wide1',4,181,'85,w:1.1,n:100',8,'wide2',4,181,'99,w:1.65',8,'wide3','"},{c:"~",h:1,w:0.','5,n:102',8,'wide1a',195,'8,n:103',8,'wide2a','"},{c',':"~",h:0.99,w:1.3',8,'wide3a',203,':"[",',6,'20',8,'delim2',203,':"]",',6,'21',8,212,4,'x2308;",',6,'22',8,'delim2a',4,'x2309;",',6,'23',8,224,4,'x230A;",',6,'24',8,224,4,'x230B;",',6,'25',8,224,'"},{c:\'<span style="','display:inline-block','; ','position:relative; ','left',':-.1em','; margin-right:-.','1em">{</span>\',',6,'26',8,212,243,244,'; position:relative',249,'1em; ','left:-.05em">}</span>\',',6,'27',8,212,243,'font-size:','150%; ','position:relative; top:.','8em; ',244,'">&#x221A;</span>\',h:0.','04,d:1.16,n:113',8,'root',243,266,'220%; ',268,269,244,271,'04,d:1.76,n:114',8,274,243,266,'310%; ',268,'8em',249,'01em; ',244,271,'06,d:2.36,n:115',8,274,243,266,'400%; ',268,'8em',249,'025em; ',244,271,'08,d:2.96,n:116',8,274,243,266,'490%; ',268,'8em',249,'03em; ',244,271,'1,d:3.75,n:117',8,274,243,266,'580%; ',268,'775em',249,'04em; ',244,271,'12,d:4.5,n:118',8,274,243,266,'750%; ',268,'775em',249,'04em; ',244,271,'14,d:5.7',8,274,243,244,'; margin-left:.','04em">|</','span><span style="',244,347,'08em; margin-right:.125em">|</span>\',delim:{top:126,bot:127,rep:119},',2,'normal',4,'x2191',';",h:0.7,d:0,delim:{','top:120,rep:63},',2,'arrow1a',4,'x2193',357,'bot:121,rep:63},',2,360,243,'margin-left:-.','1em"></',349,268,'55em',249,'3em; ',244,'">&#x25DC',';</span>\',h:0.','05',8,'symbol',243,368,'3em"></',349,268,'55em',249,259,244,'">&#x25DD',377,'05',8,380,243,368,'1em"></',349,268,'15em',249,'3em; ',244,'">&#x25DF',377,'05',8,380,243,368,'3em"></',349,268,'15em',249,259,244,'">&#x25DE',377,'05',8,380,4,'x21D1',';",h:0.65,d:0,delim:{','top:126,rep:119},',2,360,4,'x21D3',425,'bot:127,rep:119},',2,360,'"}],cmti10:[{c:"&Gamma;",ic:0.133',8,'igreek"},{c:"&','Delta;",',2,437,'Theta;",ic:0.094',8,437,'Lambda;",',2,437,'Xi;",ic:0.153',8,437,'Pi;",ic:0.164',8,437,'Sigma;",ic:0.12',8,437,'Upsilon;",ic:0.111',8,437,'Phi;",ic:0.0599',8,437,'Psi;",ic:0.111',8,437,'Omega;",','ic:0.103',8,'igreek',203,':"ff','",ic:0.212,krn:{"39":0.104,"63":0.104,"33":0.104,"41":0.104,"93":0.104},lig:{"105":','14,"108":15},','tclass:"italic"},{c',':"fi','",ic:0.103,',473,':"fl',475,473,':"ffi',475,473,':"ffl',475,473,0,'x131;",a:0,','ic:0.','0767,',473,':"j",d:0.2,','ic:0.0374,',473,0,'x2CB;",',2,'iaccent',4,'x2CA;",ic:0.0969',8,497,4,'x2C7;",ic:0.083',8,497,4,'x2D8;",ic:0.108',8,497,4,'x2C9;",ic:0.103',8,497,4,'x2DA;",',2,497,'"},{c:"?",','d:0.17,w:0.46,',473,0,'xDF;",','ic:0.105,',473,0,'xE6;",a:0,','ic:0.0751,',473,0,'x153;",a:0,',527,473,0,'xF8;",','ic:0.0919,',473,0,'xC6;",','ic:0.12,',473,0,'x152;",','ic:0.12,',473,0,'xD8;",','ic:0.094,',473,':"?",krn:{"108":-0.','256,"76":-0.321},',473,':"!",','ic:0.124,lig:{"96":','60},',473,0,'x201D;",','ic:0.0696,',473,':"#",ic:0.0662,',473,':"$",',473,':"%",ic:0.136,',473,':"&amp;",','ic:0.0969,',473,0,'x2019;",ic:0.124,krn:{"63":0.102,"33":0.102},lig:{"39":34},',473,':"(",d:0.2,','ic:0.162,',473,':")",d:0.2,','ic:0.0369,',473,':"*",ic:0.149,',473,':"+",a:0.1,','ic:0.0369,',473,':",",a:-0.3,d:0.2,w:0.278,',473,':"-",a:0,ic:0.0283',',lig:{"45":','123},',473,':".",a:-0.25,',473,':"/",ic:0.162,',473,':"0",ic:0.136,',473,':"1",ic:0.136,',473,':"2",ic:0.136,',473,':"3",ic:0.136,',473,':"4",ic:0.136,',473,':"5",ic:0.136,',473,':"6",ic:0.136,',473,':"7",ic:0.136,',473,':"8",ic:0.136,',473,':"9",ic:0.136,',473,':":",ic:0.0582,',473,':";",ic:0.0582,',473,0,'xA1;",','ic:0.0756,',473,':"=",a:0,d:-0.1,','ic:0.0662,',473,0,'xBF;",',473,':"?",ic:0.122,','lig:{"96":','62},',473,':"@",ic:0.096,',473,':"A",','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',636,'86','":-0.102,"','87',640,'101','":-0.0511,"','97',644,'111',644,'100',644,'99',644,'103',644,'113','":-0.0511','},',473,':"B',475,473,':"C",','ic:0.145,',473,':"D",',547,'krn:{"88','":-0.0256,"','87',668,'65',668,'86',668,'89":-0.','0256},',473,':"E",ic:0.12,',473,':"F','",ic:0.133,krn:{"','111',636,'101',636,'117','":-0.0767,"114":-0.0767,"97":-0.0767,"','65',640,'79',668,'67',668,'71',668,'81":-0.0256','},',473,':"G",ic:0.0872,',473,':"H",ic:0.164,',473,':"I",ic:0.158,',473,':"J",ic:0.14,',473,':"K",',663,'krn:{"79',668,'67',668,'71',668,696,'},',473,':"L",krn:{"84',636,'89',636,'86',640,'87',640,'101',644,'97',644,'111',644,'100',644,'99',644,'103',644,'113',656,'},',473,':"M",ic:0.164,',473,':"N",ic:0.164,',473,':"O",',547,'krn:{"88',668,'87',668,'65',668,'86',668,675,'0256},',473,':"P',475,'krn:{"65":-0.0767},',473,':"Q",d:0.2,',547,473,':"R",ic:0.0387,',634,'0.0256,"84',636,'89',636,'86',640,'87',640,'101',644,'97',644,'111',644,'100',644,'99',644,'103',644,'113',656,'},',473,':"S",ic:0.12,',473,':"T',681,'121',636,'101',636,'111',687,'117',636,'65":-0.0767},',473,':"U",ic:0.164,',473,':"V",ic:0.','184,krn:{"','111',636,'101',636,'117',687,'65',640,'79',668,'67',668,'71',668,696,'},',473,':"W",ic:0.',809,'65":-0.0767},',473,':"X",ic:0.158,krn:{"79',668,'67',668,'71',668,696,'},',473,':"Y",ic:0.','194',',krn:{"101',636,'111',687,'117',636,'65":-0.0767},',473,':"Z",',663,473,':"[",d:0.1,','ic:0.188,',473,0,'x201C;",','ic:0.169,',473,':"]",d:0.1,','ic:0.105,',473,0,'x2C6;",ic:0.0665',8,497,4,'x2D9;",ic:0.118',8,497,4,'x2018;",',553,'92},',473,':"a','",a:0,ic:0.',489,473,':"b",ic:0.0631',842,644,'97',644,'111',644,'100',644,'99',644,'103',644,'113',656,'},',473,':"c',877,'0565',842,644,'97',644,'111',644,'100',644,'99',644,'103',644,'113',656,'},',473,':"d',475,'krn:{"108":','0.0511},',473,':"e',877,'0751',842,644,'97',644,'111',644,'100',644,'99',644,'103',644,'113',656,'},',473,':"f',471,'12,"102":11,"108":13},',473,':"g','",a:0,d:0.2,ic:0.','0885,',473,':"h",ic:0.',489,473,':"i",ic:0.102,',473,491,663,473,':"k",ic:0.','108,',473,':"l',475,918,'0.0511},',473,':"m',877,489,473,':"n',877,489,'krn:{"39":-0.102},',473,':"o',877,'0631',842,644,'97',644,'111',644,'100',644,'99',644,'103',644,'113',656,'},',473,':"p',945,'0631',842,644,'97',644,'111',644,'100',644,'99',644,'103',644,'113',656,'},',473,':"q',945,'0885,',473,':"r',877,'108',842,644,'97',644,'111',644,'100',644,'99',644,'103',644,'113',656,'},',473,':"s',877,'0821,',473,':"t",ic:0.0949,',473,':"u',877,489,473,':"v',877,957,473,':"w',877,957,918,'0.0511},',473,':"x',877,'12,',473,':"y',945,'0885,',473,':"z',877,'123,',473,0,'x2013',';",a:0.1,ic:0.','0921',586,'124},',473,0,'x2014',1068,'0921,',473,0,'x2DD;",ic:0.122',8,497,4,'x2DC;",ic:0.116',8,497,4,'xA8;",',2,497,'"}],cmbx10:[{c:"&Gamma',';",tclass:"bgreek"},{c:"&','Delta',1091,'Theta',1091,'Lambda',1091,'Xi',1091,'Pi',1091,'Sigma',1091,'Upsilon',1091,'Phi',1091,'Psi',1091,465,2,'bgreek',203,':"ff','",ic:0.0778,krn:{"39":0.0778,"63":0.0778,"33":0.0778,"41":0.0778,"93":0.0778},lig:{"105":','14,"108":15},','tclass:"bold"},{c',':"fi",',1117,':"fl",',1117,':"ffi",',1117,':"ffl",',1117,0,487,1117,491,1117,0,'x2CB',';",tclass:"baccent',4,'x2CA',1133,4,'x2C7',1133,4,'x2D8',1133,4,'x2C9',1133,4,'x2DA',1133,518,1117,0,522,1117,0,526,1117,0,530,1117,0,534,1117,0,538,1117,0,542,1117,0,546,1117,549,'278,"76":-0.319},',1117,552,628,'60},',1117,0,557,1117,':"#",',1117,':"$",',1117,':"%",',1117,566,1117,0,'x2019;",krn:{"63":0.111,"33":0.111},lig:{"39":34},',1117,572,1117,575,1117,':"*",',1117,580,1117,':",",a:-0.3,d:0.2,w:0.278,',1117,':"-",a:0',586,'123},',1117,':".",a:-0.25,',1117,':"/",',1117,':"0",',1117,':"1",',1117,':"2",',1117,':"3",',1117,':"4",',1117,':"5",',1117,':"6",',1117,':"7",',1117,':"8",',1117,':"9",',1117,':":",',1117,':";",',1117,0,618,1117,621,1117,0,'xBF;",',1117,':"?",',628,'62},',1117,':"@",',1117,':"A",krn:{"116','":-0.0278,"','67',1250,'79',1250,'71',1250,'85',1250,'81',1250,'84','":-0.0833,"','89',1262,'86":-0.','111,"87":-0.111},',1117,':"B",',1117,662,1117,':"D",krn:{"88',1250,'87',1250,'65',1250,'86',1250,675,'0278},',1117,':"E",',1117,':"F",krn:{"111',1262,'101',1262,'117','":-0.0833,"114":-0.0833,"97":-0.0833,"65":-0.','111,"79',1250,'67',1250,'71',1250,'81":-0.0278','},',1117,':"G",',1117,':"H",',1117,':"I",krn:{"73":0.0278},',1117,':"J",',1117,':"K",krn:{"79',1250,'67',1250,'71',1250,1297,'},',1117,':"L",krn:{"84',1262,'89',1262,1265,'111,"87":-0.111},',1117,':"M",',1117,':"N",',1117,':"O",krn:{"88',1250,'87',1250,'65',1250,'86',1250,675,'0278},',1117,':"P",krn:{"65',1262,'111',1250,'101',1250,'97',1250,'46',1262,'44":-0.0833},',1117,763,1117,':"R",krn:{"116',1250,'67',1250,'79',1250,'71',1250,'85',1250,'81',1250,'84',1262,'89',1262,1265,'111,"87":-0.111},',1117,':"S",',1117,':"T",krn:{"121',1250,'101',1262,'111',1290,'0833,"117":-0.0833','},',1117,':"U",',1117,808,'0139,krn:{"','111',1262,'101',1262,'117',1290,'111,"79',1250,'67',1250,'71',1250,1297,'},',1117,827,1386,'111',1262,'101',1262,'117',1290,'111,"79',1250,'67',1250,'71',1250,1297,'},',1117,':"X",krn:{"79',1250,'67',1250,'71',1250,1297,'},',1117,840,'025',842,1262,'111',1290,1380,'},',1117,850,1117,853,1117,0,857,1117,860,1117,0,'x2C6',1133,4,'x2D9',1133,4,872,628,'92},',1117,':"a','",a:0,krn:{"','118',1250,'106":0.','0556,"121',1250,'119":-0.','0278},',1117,':"b",krn:{"101','":0.0278,"','111',1468,'120',1250,'100',1468,'99',1468,'113',1468,'118',1250,1461,'0556,"121',1250,1464,'0278},',1117,':"c',1458,'104',1250,'107":-0.0278},',1117,':"d",',1117,':"e",a:0,',1117,':"f',1115,'12,"102":11,"108":13},',1117,':"g',945,1386,1461,'0278},',1117,':"h",krn:{"116',1250,'117',1250,'98',1250,'121',1250,'118',1250,1464,'0278},',1117,':"i",',1117,491,1117,':"k",krn:{"97":-0.0556,"101',1250,'97',1250,'111',1250,'99":-0.','0278},',1117,':"l",',1117,':"m',1458,'116',1250,'117',1250,'98',1250,'121',1250,'118',1250,1464,'0278},',1117,':"n',1458,'116',1250,'117',1250,'98',1250,'121',1250,'118',1250,1464,'0278},',1117,':"o",a:0',842,1468,'111',1468,'120',1250,'100',1468,'99',1468,'113',1468,'118',1250,1461,'0556,"121',1250,1464,'0278},',1117,':"p",a:0,d:0.2',842,1468,'111',1468,'120',1250,'100',1468,'99',1468,'113',1468,'118',1250,1461,'0556,"121',1250,1464,'0278},',1117,':"q",a:0,d:0.2,',1117,':"r",a:0,',1117,':"s",a:0,',1117,':"t",krn:{"121',1250,1464,'0278},',1117,':"u',1458,1464,'0278},',1117,':"v',877,1386,'97":-0.0556,"101',1250,'97',1250,'111',1250,1530,'0278},',1117,':"w',877,'0139',842,1250,'97',1250,'111',1250,1530,'0278},',1117,':"x",a:0,',1117,':"y',945,1386,'111',1250,'101',1250,'97',1250,'46',1262,'44":-0.0833},',1117,':"z",a:0,',1117,0,'x2013',1068,'0278',586,'124},',1117,0,'x2014',1068,'0278,',1117,0,'x2DD',1133,4,'x2DC',1133,4,'xA8',1133,'"}]});','jsMath.Setup.Styles({".typeset .','cmr10','":"font-family: ','serif','",".typeset .','italic":"font-style: italic',1690,'bold":"font-weight: bold',1690,'lucida','":"font-family: \'',1695,' sans unicode','\'",".typeset .','arial','":"font-family: \'Arial unicode MS',1699,'cal',1696,'Script MT\', \'Script MT Bold\', cursive',1690,'arrows',1701,1699,'arrow1',1701,1699,360,1701,'\'; ',268,'05em;left:-.15em',249,'15em','; display:inline-block",".typeset .','arrow2',1701,'\'; ',246,'top:-.',259,244,';",".typeset .','arrow3',1701,'\'; margin',':.1em',1690,380,1701,1699,'symbol2',1701,1699,'delim1','":"font-family: \'Times New Roman\'; font-','size: ','133%; ',268,'7em',1720,'delim1a',1696,'Lucida',1698,'\'; font-size: ','133%; ',268,'8em',1720,'delim1b',1701,1751,'133%; ',268,'7em',1720,212,1741,1742,'180%; ',268,'75em',1720,224,1696,'Lucida',1698,1751,'180%; ',268,'8em',1720,9,1701,1751,'180%; ',268,'7em',1720,'delim3',1741,1742,'250%; ',268,'725em',1720,'delim3a',1696,'Lucida',1698,1751,'250%; ',268,'775em',1720,'delim3b',1701,1751,'250%; ',268,'7em',1720,'delim4',1741,1742,'325%; ',268,'7em',1720,'delim4a',1696,'Lucida',1698,1751,'325%; ',268,'775em',1720,'delim4b',1701,1751,'325%; ',268,'7em',1720,3,1688,'Symbol',1690,'greek',1696,'Times New Roman',1699,468,1741,'style:italic',1690,1112,1741,'weight:bold',1690,21,1701,1751,'130','%; position: relative; top',': .7em; margin:-.05em',1720,79,1701,1751,'110',1852,': .85em; ',244,1728,97,1701,1751,'180',1852,': .6em',1720,33,1701,1751,'85',1852,': 1em',1720,27,1701,1751,'230',1852,': .6em; margin:-.05em',1720,127,1701,1751,'185',1852,': .75em',1720,143,1701,1751,'275',1852,': .55em',1720,37,1701,1751,'185',1852,': 1em',249,'1em',1720,184,1701,1751,'67',1852,':-.75em; ',244,1728,189,1701,1751,'110',1852,':-.4em; ',244,1728,194,1701,1751,'175',1852,':-.25em',1720,198,1741,1742,'75',1852,':-.5em',1720,202,1741,1742,'133',1852,':-.2em',1720,206,1741,1742,'200',1852,248,1720,274,1701,1731,'-right:-.075em',1720,'accent',1701,'\'; ',268,'05em; left:.','15em',1720,497,1701,'\'; ',268,1960,'15em; font-',1842,1720,'baccent',1701,'\'; ',268,1960,1968,1846,'; ',244,'"});','if(jsMath.browser=="','Mozilla"){jsMath.Update.TeXfonts({cmex10:{"48":{c',0,'xF8EB;"},"49":{c',0,'xF8F6;"},"50":{c',0,'xF8EE;"},"51":{c',0,'xF8F9;"},"52":{c',0,'xF8F0;"},"53":{c',0,'xF8FB;"},"54":{c',0,'xF8EF;"},"55":{c',0,'xF8FA;"},"56":{c',0,'xF8F1;"},"57":{c',0,'xF8FC;"},"58":{c',0,'xF8F3;"},"59":{c',0,'xF8FE;"},"60":{c',0,'xF8F2;"},"61":{c',0,'xF8FD;"},"62":{c',0,'xF8F4;"},"64":{c',0,'xF8ED;"},"65":{c',0,'xF8F8;"},"66":{c',0,'xF8EC;"},"67":{c',0,'xF8F7;"}}});',1686,'accent',1688,'Arial unicode MS; ',268,1960,'05em"})}',1981,'MSIE"){jsMath.Browser.msieFontBug=1}jsMath.Macro("not","\\\\mathrel{\\\\rlap{\\\\kern 3mu/}}");jsMath.Macro("bowtie","\\\\mathrel\\\\triangleright\\\\kern-6mu\\\\mathrel\\\\triangleleft");jsMath.Box.defaultH=0.8;']
]);