/*
 *  jsMath-fallback-mac.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 Mac.
 *
 *  ---------------------------------------------------------------------
 *
 *  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,':"&#x60;",',22,'accent','"},{c:"&#','xB4;",',22,44,45,'x2C7;",',22,44,45,'x2D8;",',22,44,'"},{c:\'<span style="','position:relative; top',':.1em">&#x2C9',';</span>\',',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,':")",',105,28,':"*",',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',162,'79',162,'71',162,'85',162,'81',162,'84','":-0.0833,"','89',174,'86','":-0.111',',"87":-0.',101,28,':"B",',28,':"C",',28,':"D',160,'88',162,'87',162,'65',162,'86',162,'89','":-0.0278','},',28,':"E",',28,':"F',160,'111',174,'101',174,'117','":-0.0833,"114":-0.0833,"97":-0.0833,"65":-0.','111,"79',162,'67',162,'71',162,'81',197,'},',28,':"G",',28,':"H",',28,':"I',160,'73":','0.0278','},',28,':"J",',28,':"K',160,'79',162,'67',162,'71',162,'81',197,'},',28,':"L',160,'84',174,'89',174,'86',178,179,101,28,':"M",',28,':"N",',28,':"O',160,'88',162,'87',162,'65',162,'86',162,'89',197,'},',28,':"P',160,'65',174,'111',162,'101',162,'97',162,'46',174,'44":-0.0833},',28,':"Q",','d:0.1,',28,':"R',160,'116',162,'67',162,'79',162,'71',162,'85',162,'81',162,'84',174,'89',174,'86',178,179,101,28,':"S",',28,':"T',160,'121',162,'101',174,'111',209,'0833,"117":-0.0833','},',28,':"U",',28,':"V",','ic:0.0139,krn:{"','111',174,'101',174,'117',209,'111,"79',162,'67',162,'71',162,'81',197,'},',28,':"W",',329,'111',174,'101',174,'117',209,'111,"79',162,'67',162,'71',162,'81',197,'},',28,':"X',160,'79',162,'67',162,'71',162,'81',197,'},',28,':"Y",ic:0.025,','krn:{"101',174,'111',209,323,'},',28,':"Z",',28,':"[",',288,28,':"&#x201C;",',28,':"]",',288,28,':"&#x2C6;",',22,44,45,'x2D9;",',22,44,45,'x2018;",lig:{"96":92},',28,':"a','",a:0,krn:{"','118',162,'106','":0.0556,"','121',162,'119',197,'},',28,':"b',160,'101','":0.0278,"','111',419,'120',162,'100',419,'99',419,'113',419,'118',162,'106',409,'121',162,'119',197,'},',28,':"c',405,'104',162,'107',197,'},',28,':"d",',28,':"e",a:0,',28,':"f',26,'12,"102":11,"108":13},',28,':"g','",a:0,d:0.2,',329,'106":',227,'},',28,':"h',160,'116',162,'117',162,'98',162,'121',162,'118',162,'119',197,'},',28,':"i",',28,40,28,':"k',160,'97','":-0.0556,"','101',162,'97',162,'111',162,'99',197,'},',28,':"l",',28,':"m',405,'116',162,'117',162,'98',162,'121',162,'118',162,'119',197,'},',28,':"n',405,'116',162,'117',162,'98',162,'121',162,'118',162,'119',197,'},',28,':"o',405,'101',419,'111',419,'120',162,'100',419,'99',419,'113',419,'118',162,'106',409,'121',162,'119',197,'},',28,':"p',457,377,419,'111',419,'120',162,'100',419,'99',419,'113',419,'118',162,'106',409,'121',162,'119',197,'},',28,':"q',457,28,':"','r",a:0,',28,':"s",a:0,',28,':"t',160,'121',162,'119',197,'},',28,':"u',405,'119',197,'},',28,':"v",a:0,',329,'97',486,'101',162,'97',162,'111',162,'99',197,'},',28,':"w",a:0,',329,'101',162,'97',162,'111',162,'99',197,'},',28,':"x",a:0,',28,':"y',457,329,'111',162,'101',162,'97',162,'46',174,'44":-0.0833},',28,':"z",a:0,',28,':"&#x2013',';",a:0.1,','ic:0.0278,','lig:{"45":124},',28,':"&#x2014',645,646,28,':"&#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},',22,670,5,'ic:',227,',krn:{"127":0.','0833},',22,670,7,672,'167},',22,670,9,'ic:0.0757',679,'0833},',22,670,11,'ic:0.0812,krn:{"61',486,'59":-0.0556,"58":-0.0556,"127":0.','0556},',22,670,13,'ic:0.0576',679,'0833},',22,670,15,'ic:0.139',667,'0556},',22,670,17,672,'0833},',22,670,19,'ic:0.11,krn:{"61',486,697,'0556},',22,670,21,'ic:0.0502',679,'0833},',22,670,'alpha',645,'ic:0.0037',679,'0278},',2,'beta',';",d:0.1,','ic:0.0528',679,'0833},',2,'gamma',645,288,'ic:0.0556,',2,'delta;",ic:0.0378,krn:{"',697,'0556},',2,'epsilon;",a:0',679,'0556},',22,'lucida"},{c:"&zeta',738,'ic:0.0738',679,'0833},',2,'eta',645,288,'ic:0.0359',679,'0556},',2,'theta;",ic:',227,679,'0833},',2,'iota;",a:0.1',679,'0556},',2,'kappa',645,2,'lambda;",',2,'mu',645,'d:0.1',679,'0278},',2,'nu',645,'ic:0.0637,krn:{"',697,'0278},',2,'xi',738,'ic:0.046',679,101,2,'pi',645,'ic:0.0359,',2,'rho',645,'d:0.1',679,'0833},',2,'sigma',645,803,'krn:{"59',486,'58":-0.0556','},',2,'tau',645,'ic:0.113,krn:{"',697,'0278},',2,'upsilon',645,'ic:0.0359',679,'0278},',2,'phi;",a:0.3,d:0.1',679,'0833},',2,'chi',645,'d:0.1',679,'0556},',2,'psi;",','a:0.3,d:0.1,','ic:0.0359',679,101,2,'omega',645,803,2,752,'.1',679,'0833},',22,'greek',45,'x3D1;",',672,'0833},',22,'greek',45,'x3D6',645,646,22,'lucida',45,'x3F1',645,'d:0.2',679,'0833},',22,'lucida',45,'x3C2',645,'d:0.2,ic:0.','0799',679,'0833},',22,'greek',45,'x3D5',645,'d:0.1',679,'0833},',22,'greek',45,'x21BC',';",a:0,d:-0.','2,',22,'harpoon',45,'x21BD',896,'1,',22,'harpoon',45,'x21C0',896,'2,',22,'harpoon',45,'x21C1',896,'1,',22,'harpoon',57,'font-size: 133%; ',58,':.1em; margin:-.2em; left:-.05em">&#','x02D3',60,113,22,'lucida',57,919,58,921,'x02D2',60,113,22,'lucida',57,'font-size:50%">&#','x25B7',';</span>\',a:0,',22,'symbol',57,937,'x25C1',939,22,941,24,'0",',28,':"1",',28,':"2",',28,':"3",',28,':"4",',28,':"5",',28,':"6",',28,':"7",',28,':"8",',28,':"9",',28,120,'3,',28,115,28,':"&lt',645,28,':\'<span style="','font-size',':133%; ',58,':.1em">/</','span>\',',288,'krn:{"1',486,'65',486,'77',486,'78',486,'89',409,'90":-0.0556},',28,':"&gt',645,28,977,937,'x2605',939,'tclass:"symbol"},{c:"&#','x2202;",ic:0.0556',679,'0833},',28,':"A",',672,'139','},tclass:"italic"},{c:"','B",ic:0.0502',679,'0833',1011,'C",ic:0.0715,krn:{"61',162,697,'0833',1011,'D",ic:',227,679,'0556',1011,'E",ic:0.0576',679,'0833',1011,'F",ic:0.139',667,'0833',1011,'G",',672,'0833',1011,'H",ic:0.0812,krn:{"61',486,697,'0556',1011,'I",ic:0.0785',679,'111',1011,'J",ic:0.0962',667,'167',1011,'K",ic:0.0715,krn:{"61',486,697,'0556',1011,'L",',672,'0278',1011,'M','",ic:0.109,krn:{"','61',486,697,'0833',1011,'N',1061,'61',174,'61',162,697,'0833',1011,'O",ic:',227,679,'0833',1011,'P",ic:0.139',667,'0833',1011,'Q",d:0.2',679,'0833',1011,'R",ic:0.00773',679,'0833',1011,'S",ic:0.0576,krn:{"61',486,697,'0833',1011,'T','",ic:0.139,krn:{"','61',162,697,'0833',1011,'U',1061,'59',178,',"58',178,',"61',486,'127":',227,1011,'V",ic:0.222,krn:{"59','":-0.167,"','58',1117,'61',178,1011,'W',1099,'59',1117,'58',1117,'61',178,1011,'X",ic:0.0785,krn:{"61',174,'61',162,697,'0833',1011,'Y",ic:0.222,krn:{"59',1117,'58',1117,'61',178,1011,'Z",ic:0.0715,krn:{"61',486,697,'0833},',22,'italic',45,'x266D;",',22,'symbol2',45,'x266E;",',22,'symbol2',45,'x266F;",',22,'symbol2',57,'position: relative; top',':.5em">&#x2323',939,'d:-0.1,',28,977,1165,':-.3em">&#x2322',939,'d:-0.1,',28,977,'margin:-.','2em">&#x2113',60,672,101,22,941,24,'a",a:0,',22,'italic"},{c:"','b",',22,1187,'c",a:0',679,'0556',1011,'d',160,'89',409,'90',486,'106',178,',"102',1117,'127":0.167',1011,'e",a:0',679,'0556',1011,'f",',880,'108,krn:{"',697,'167',1011,'g',457,'ic:0.0359',679,'0278',1011,'h',160,'127',197,1011,'i",',22,1187,'j",',880,'0572,krn:{"59',486,816,1011,'k",ic:0.0315,',22,1187,'l",ic:0.0197',679,'0833',1011,'m",a:0,',22,1187,'n",a:0,',22,1187,'o",a:0',679,'0556',1011,'p",a:0,d:0.2',679,'0833',1011,'q',457,'ic:0.0359',679,'0833',1011,583,646,'krn:{"',697,'0556',1011,'s",a:0',679,'0556',1011,'t",',672,'0833',1011,'u",a:0',679,'0278',1011,'v",a:0,ic:0.0359',679,'0278',1011,'w",a:0,ic:0.0269',679,'0833',1011,'x",a:0',679,'0278',1011,'y',457,'ic:0.0359',679,'0556',1011,'z",a:0,ic:0.044',679,'0556},',22,'italic',45,'x131;",a:0',679,'0278},',22,'italic',45,'x237',38,'d:0.2',679,'0833},',22,'italic',45,'x2118;",d:0',679,101,22,'asymbol',57,'position:relative; left: .4em; top: -.8em; ',978,': 50%">&#x2192',60,'ic:0.154,',1003,'x0311;",ic:0.399,',22,'normal"}],cmsy10:[{c:"&#x2212',645,1003,'xB7',896,'2,',1003,'xD7',38,22,941,57,58,':.3em">&#x2A',939,1003,'xF7',38,1003,'x25CA;",',22,'lucida',45,'xB1',645,1003,'x2213;",',1003,'x2295;",',1003,'x2296;",',1003,'x2297;",',1003,'x2298;",',1003,'x2299;",',22,'symbol3',45,'x25EF;",',22,941,57,58,':.25em;">&#xB0',60,'a:0.3,d:-0.3,',1003,'x2022;",a:0.2,d:-0.25,',1003,'x224D',645,1003,'x2261',645,1003,'x2286;",',1003,'x2287;",',1003,'x2264;",',1003,'x2265;",',1003,'x2AAF;",',1003,'x2AB0;",',22,941,'"},{c:"~",a:0,d:-0.2,',28,':"&#x2248',645,'d:-0.1,',1003,'x2282;",',1003,'x2283;",',1003,'x226A;",',1003,'x226B;",',1003,'x227A;",',1003,'x227B;",',1003,'x2190',896,'15,',22,'arrows',45,'x2192',896,'15,',22,'arrows',45,'x2191',';",h:0.85,',22,'arrow1a',45,'x2193',1435,22,'arrow1a',45,'x2194',38,22,'arrow1',45,'x2197',1435,288,22,'arrows',45,'x2198',1435,288,22,'arrows',45,'x2243',645,1003,'x21D0',645,22,'arrows',45,'x21D2',645,22,'arrows',45,'x21D1;",h:0.7,',22,'asymbol"},{c:"&#','x21D3;",h:0.7,',22,1476,'x21D4',645,22,'arrows',45,'x2196',1435,288,22,'arrows',45,'x2199',1435,288,22,'arrows',45,'x221D',645,'d:-0.1,',22,941,57,919,'margin-right',': -.1em; ',1165,':.4em">&#x2032',939,22,'lucida',45,'x221E',645,1003,'x2208;",',1003,'x220B;",',1003,'x25B3;",',1003,'x25BD;",',22,941,'"},{c:"/",',22,941,57,978,':50%; ',58,':-.3em; ',1504,':-.2em">|</',982,'a:0,',28,':"&#x2200;",',1003,'x2203;",',1003,'xAC',896,'1,',22,'symbol1',45,'x2205;",',1003,'x211C;",',22,1476,'x2111;",',22,1476,'x22A4;",',1003,'x22A5;",',1003,'x2135;",',22,941,24,'A',160,'48":0.194},',22,'cal"},{c:"','B",ic:0.0304',',krn:{"48":0.','139},',22,1567,'C",ic:0.0583',1569,'139},',22,1567,'D",ic:',227,1569,'0833},',22,1567,'E",ic:0.0894',1569,101,22,1567,'F",ic:0.0993',1569,101,22,1567,'G",',880,'0593',1569,101,22,1567,'H",ic:0.00965',1569,101,22,1567,'I",ic:0.0738',1569,'0278},',22,1567,'J",',880,'185',1569,'167},',22,1567,'K",ic:0.0144',1569,'0556},',22,1567,'L',160,'48":0.139},',22,1567,'M',160,'48":0.139},',22,1567,'N",ic:0.147',1569,'0833},',22,1567,'O",ic:',227,1569,101,22,1567,'P",ic:0.0822',1569,'0833},',22,1567,'Q",d:0.2',1569,101,22,1567,'R',160,'48":0.0833},',22,1567,'S",ic:0.075',1569,'139},',22,1567,'T",ic:0.254',1569,'0278},',22,1567,'U",ic:0.0993',1569,'0833},',22,1567,'V",ic:0.0822',1569,'0278},',22,1567,'W",ic:0.0822',1569,'0833},',22,1567,'X",ic:0.146',1569,'139},',22,1567,'Y",ic:0.0822',1569,'0833},',22,1567,'Z",ic:0.0794',1569,'139},',22,'cal',45,'x22C3;",',1003,'x22C2;",',1003,'x228E;",',1003,'x22C0;",',1003,'x22C1;",',1003,'x22A2;",',1003,'x22A3;",',1003,'x23A3',';",h:1,d:0.','3,',22,1476,'x23A6',1715,'3,',22,1476,'x23A1',1715,'3,',22,1476,'x23A4',1715,'3,',22,'asymbol"},{c',':"{",',105,28,':"}",',105,28,':"&#x27E8;",h:0.9,',288,22,1476,'x27E9;",h:0.9,',288,22,1733,':"|",',105,22,'vertical','"},{c:"||",',105,22,'vertical',45,'x2195',738,22,'arrow1',45,'x21D5',738,22,'arrow1',57,1177,'1em">&#x2216',60,842,22,'lucida',45,'x2240;",',22,'asymbol',57,58,': .86em">&#x221A',60,'h:0.04,d:0.9,',22,'lucida',45,'x2210',738,1003,'x2207;",',1003,'x222B;",h:1,',288,'ic:0.111,',22,'root',45,'x2294;",',1003,'x2293;",',1003,'x2291;",',1003,'x2292;",',1003,'xA7',738,28,':"&#x2020',738,28,':"&#x2021',738,28,':"&#xB6;",',842,22,'lucida',45,'x2663;",',1003,'x2666;",',1003,'x2665;",',1003,'x2660;",',22,941,'"}],cmex10:[{c',104,'h:0.04,d:1.16,n:','16,',22,'delim1"},{c',107,1829,'17,',22,1832,386,1829,'104,',22,1832,391,1829,'105,',22,'delim1',45,1714,'",',1829,'106,',22,'delim1a',45,'x23A6;",',1829,'107,',22,'delim1a',45,'x23A1;",',1829,'108,',22,'delim1a',45,'x23A4;",',1829,'109,',22,'delim1a"},{c:"{",',1829,'110,',22,1832,1737,1829,'111,',22,'delim1',45,'x3008;",',1829,'68,',22,'delim1c',45,'x3009;",',1829,'69,',22,'delim1c"},{c:"|",','h:0.7,d:0.15,delim:{rep:','12},',22,'vertical1',1752,1894,'13},',22,'vertical1',45,'x2215;",',1829,'46,',22,'delim1b',45,'x2216;",',1829,'47,',22,'delim1b','"},{c:"(",','h:0.04,d:1.76,n:','18,',22,'delim2"},{c',107,1916,'19,',22,'delim2',1915,'h:0.04,d:2.36,n:','32,',22,'delim3"},{c',107,1926,'33,',22,1929,386,1926,'34,',22,1929,391,1926,'35,',22,'delim3',45,1714,';",',1926,'36,',22,'delim3a',45,'x23A6;",',1926,'37,',22,'delim3a',45,'x23A1;",',1926,'38,',22,'delim3a',45,'x23A4;",',1926,'39,',22,'delim3a',57,'margin: -.1em','">{</',982,1926,'40,',22,'delim3',57,1971,'">}</',982,1926,'41,',22,'delim3',45,'x3008;",',1926,'42,',22,'delim3c',45,'x3009;",',1926,'43,',22,'delim3c',45,'x2215;",',1926,'44,',22,'delim3b',45,'x2216;",',1926,'45,',22,'delim3b',1915,'h:0.04,d:2.96,','n:48,',22,'delim4"},{c',107,2011,'n:49,',22,2014,386,2011,'n:50,',22,2014,391,2011,'n:51,',22,'delim4',45,1714,';",',2011,'n:52,',22,'delim4a',45,'x23A6;",',2011,'n:53,',22,'delim4a',45,'x23A1;",',2011,'n:54,',22,'delim4a',45,'x23A4;",',2011,'n:55,',22,'delim4a',57,1971,'">{</',982,2011,'n:56,',22,'delim4',57,1971,'">}</',982,2011,'n:57,',22,'delim4',45,'x3008;",',2011,22,'delim4c',45,'x3009;",',2011,22,'delim4c',45,'x2215;",',2011,22,'delim4b',45,'x2216;",',2011,22,'delim4b',45,'x2215;",',1916,'30,',22,'delim2b',45,'x2216;",',1916,'31,',22,'delim2b',45,'x239B',';",h:1,d:0.2,delim:{','top:48,bot:64,rep:66},',22,1476,'x239E',2105,'top:49,bot:65,rep:67},',22,1476,'x23A1',2105,'top:50,bot:52,rep:54},',22,1476,'x23A4',2105,'top:51,bot:53,rep:55},',22,1476,1714,2105,'bot:52,rep:54},',22,1476,'x23A6',2105,'bot:53,rep:55},',22,1476,'x23A2',2105,'top:50,rep:54},',22,1476,'x23A5',2105,'top:51,rep:55},',22,1476,'x23A7',2105,'top:56,mid:60,bot:58,rep:62},',22,1476,'x23AB',2105,'top:57,mid:61,bot:59,rep:62},',22,1476,'x23A9',2105,'top:56,bot:58,rep:62},',22,1476,'x23AD',2105,'top:57,bot:59,rep:62},',22,1476,'x23A8',2105,'rep:63},',22,1476,'x23AC',2105,'rep:119},',22,1476,'x23AA',2105,'rep:62},',22,1476,'x23AA;",h:0.95,d:0.05,delim:{top:120,bot:121,rep:63},',22,'arrow1a',45,'x239D',2105],
  ['top:56,bot:59,rep:62},','tclass:"','asymbol','"},{c:"&#','x23A0',';",h:1,d:0.2,delim:{','top:57,bot:58,rep:62},',1,2,3,'x239C',5,'rep:66},',1,2,3,'x239F',5,'rep:67},',1,2,3,'x3008;",','h:0.04,d:1.76,n:','28,',1,'delim2c',3,'x3009;",',23,'29,',1,26,3,'x2294;",h:-0.','2,d:1,n:71,',1,'bigop1',3,34,'1,d:1.2,',1,'bigop2',3,'x222E',';",h:0,d:1.11,ic:0.095,n:','73,',1,'bigop1c',3,'x222E;",h:0,d:2.22,ic:0.222,',1,'bigop2c',3,'x2299',';",h:0,d:1,n:','75,',1,37,3,'x2299',';",h:0.1,d:1.','2,',1,42,3,'x2295;",h:0.','2,d:0.9,n:','77,',1,37,3,66,'4,d:1.2,',1,42,3,'x2297;",h:0.',67,'79,',1,37,3,77,'4,d:1.2,',1,42,3,'x2211',55,'88,',1,'bigop1a',3,'x220F',55,'89,',1,92,3,'x222B',45,'90,',1,48,3,'x222A',55,'91,',1,'bigop1b',3,'x2229',55,'92,',1,110,3,'x228E;",h:-0.','2,d:1.1,n:93,',1,110,3,'x2227',55,'94,',1,37,3,'x2228',55,'95,',1,37,3,'x2211',61,'6,',1,'bigop2a',3,'x220F',61,'6,',1,139,3,'x222B;",h:0,d:2.22,ic:0.222,',1,52,3,'x222A',61,'5,',1,'bigop2b',3,'x2229',61,'5,',1,155,3,118,'3,d:1.6,',1,155,3,'x2227',61,'2,',1,42,3,'x2228',61,'2,',1,42,3,'x2210;",h:0,d:0.9,n:97,',1,92,3,'x2210',61,'4,',1,139,3,'xFE3F;",h:0.','722,w:0.','65,n:99,',1,'wide1',3,190,'85,w:1.1,n:100,',1,'wide2',3,190,'99,w:1.65,',1,'wide3',3,'x2053;",h:0.',191,'75,n:102,',1,'wide1a',3,206,'8,w:1.35,n:103,',1,'wide2a',3,206,'99,w:2,',1,'wide3a"},{c:"[",',23,'20,',1,'delim2','"},{c:"]",',23,'21,',1,224,3,'x23A3;",',23,'22,',1,'delim2a',3,'x23A6;",',23,'23,',1,235,3,'x23A1;",',23,'24,',1,235,3,'x23A4;",',23,'25,',1,235,'"},{','c:\'<span style="','margin: -.1em','">{</span>\',',23,'26,',1,224,'"},{',255,256,'">}</span>\',',23,'27,',1,224,'"},{c:\'<span style="font-size',': 125','%; position:relative; top:.','95em','">&#x221A;</span>\',h:0.','04,d:1.16,n:113,',1,'root',270,': 190',272,'925em">&#x221A;</span>\',',23,'114,',1,277,270,': 250',272,'925em',274,'06,d:2.36,n:115,',1,277,270,': 320',272,'92em',274,'08,d:2.96,n:116,',1,277,270,': 400',272,'92em',274,'1,d:3.75,n:117,',1,277,270,': 500',272,'9em',274,'12,d:4.5,n:118,',1,277,270,': 625',272,'9em',274,'14,d:5.7,',1,277,270,':130%">&#x2016;</span>\',h:0.9,delim:{top:126,bot:127,rep:119},',1,2,3,'x2191',';",h:0.9,d:0,delim:{','top:120,rep:63},',1,'arrow1a',3,'x2193',332,'bot:121,rep:63},',1,335,270,': 67',272,'35em','; margin-left:-.','5em">&#','x256D',';</span>\',h:0.1,',1,'symbol',270,': 67',272,'35em','; margin-right:-.',347,'x256E',349,1,351,270,': 67',272,'35em',346,347,'x2570',349,1,351,270,': 67',272,'35em',356,347,'x256F',349,1,351,3,'x21D1',';",h:0.7,delim:{','top:126,rep:119},',1,2,3,'x21D3',384,'bot:127,rep:119},',1,2,'"}],cmti10',':[{c:"&Gamma;",','ic:0.133,',1,'igreek"},{c:"&','Delta;",',1,398,'Theta;",','ic:0.094,',1,398,'Lambda;",',1,398,'Xi;",ic:0.153,',1,398,'Pi;",ic:0.164,',1,398,'Sigma;",','ic',':0.12,',1,398,'Upsilon;",','ic:0.111,',1,398,'Phi;",','ic:0.0599,',1,398,'Psi;",','ic:0.111,',1,398,'Omega;",','ic:0.103,',1,'igreek','"},{c:"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,',439,':"fl',441,439,':"ffi',441,439,':"ffl',441,439,':"&#x131;",a:0,','ic:0.','0767,',439,':"j",d:0.2,','ic:0.0374,',439,':"&#x60;",',1,'iaccent',3,'xB4;",','ic:0.0969,',1,461,3,'x2C7;",','ic:0.083,',1,461,3,'x2D8;",','ic:0.108,',1,461,3,'x2C9;",',433,1,461,3,'x2DA;",',1,461,'"},{c:"?",','d:0.17,w:0.46,',439,':"&#xDF;",','ic:0.105,',439,':"&#xE6;",a:0,','ic:0.0751,',439,':"&#x153;",a:0,',493,439,':"&#xF8;",','ic:0.0919,',439,':"&#xC6;",','ic',417,439,':"&#x152;",','ic',417,439,':"&#xD8;",',403,439,':"?",krn:{"108":-0.','256,"76":-0.321},',439,':"!",','ic:0.124,lig:{"96":','60},',439,':"&#x201D;",','ic:0.0696,',439,':"#",ic:0.0662,',439,':"$",',439,':"%",ic:0.136,',439,':"&amp;",','ic:0.0969,',439,':"&#x2019;",','ic:0.124,','krn:{"63":0.','102,"33":0.102},lig:{"39":34},',439,':"(",d:0.2,','ic:0.162,',439,':")",d:0.2,','ic:0.0369,',439,':"*",ic:0.149,',439,':"+",a:0.1,','ic:0.0369,',439,':",",a:-0.3,d:0.2,w:0.278,',439,':"-",a:0,ic:0.0283',',lig:{"45":','123},',439,':".",a:-0.25,',439,':"/",ic:0.162,',439,':"0",ic:0.136,',439,':"1",ic:0.136,',439,':"2",ic:0.136,',439,':"3",ic:0.136,',439,':"4",ic:0.136,',439,':"5",ic:0.136,',439,':"6",ic:0.136,',439,':"7",ic:0.136,',439,':"8",ic:0.136,',439,':"9",ic:0.136,',439,':":",ic:0.0582,',439,':";",ic:0.0582,',439,':"&#xA1;",','ic:0.0756,',439,':"=",a:0,d:-0.1,','ic:0.0662,',439,':"&#xBF;",',439,':"?",','ic:0.122,','lig:{"96":','62},',439,':"@",ic:0.096,',439,':"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',599,'86','":-0.102,"','87',603,'101','":-0.0511,"','97',607,'111',607,'100',607,'99',607,'103',607,'113','":-0.0511','},',439,':"B',441,439,':"C",','ic:0.145,',439,':"D",',403,'krn:{"88','":-0.0256,"','87',631,'65',631,'86',631,'89":-0.','0256},',439,':"E",ic',417,439,':"F','",ic:0.133,krn:{"','111',599,'101',599,'117','":-0.0767,"114":-0.0767,"97":-0.0767,"','65',603,'79',631,'67',631,'71',631,'81":-0.0256','},',439,':"G",ic:0.0872,',439,':"H",ic:0.164,',439,':"I",ic:0.158,',439,':"J",ic:0.14,',439,':"K",',626,'krn:{"79',631,'67',631,'71',631,660,'},',439,':"L",krn:{"84',599,'89',599,'86',603,'87',603,'101',607,'97',607,'111',607,'100',607,'99',607,'103',607,'113',619,'},',439,':"M",ic:0.164,',439,':"N",ic:0.164,',439,':"O",',403,'krn:{"88',631,'87',631,'65',631,'86',631,638,'0256},',439,':"P',441,'krn:{"65":-0.0767},',439,':"Q",d:0.1,',403,439,':"R",ic:0.0387,',597,'0.0256,"84',599,'89',599,'86',603,'87',603,'101',607,'97',607,'111',607,'100',607,'99',607,'103',607,'113',619,'},',439,':"S",ic',417,439,':"T',645,'121',599,'101',599,'111',651,'117',599,'65":-0.0767},',439,':"U",ic:0.164,',439,':"V",ic:0.','184,krn:{"','111',599,'101',599,'117',651,'65',603,'79',631,'67',631,'71',631,660,'},',439,':"W",ic:0.',774,'65":-0.0767},',439,':"X",ic:0.158,krn:{"79',631,'67',631,'71',631,660,'},',439,':"Y",ic:0.','194',',krn:{"101',599,'111',651,'117',599,'65":-0.0767},',439,':"Z",',626,439,':"[",d:0.1,','ic:0.188,',439,':"&#x201C;",','ic:0.169,',439,':"]",d:0.1,','ic:0.105,',439,':"&#x2C6;",','ic:0.0665,',1,461,3,'x2D9;",','ic:0.118,',1,461,3,'x2018;",',516,'92},',439,':"a','",a:0,ic:0.',454,439,':"b",ic:0.0631',807,607,'97',607,'111',607,'100',607,'99',607,'103',607,'113',619,'},',439,':"c',842,'0565',807,607,'97',607,'111',607,'100',607,'99',607,'103',607,'113',619,'},',439,':"d',441,'krn:{"108":','0.0511},',439,':"e',842,'0751',807,607,'97',607,'111',607,'100',607,'99',607,'103',607,'113',619,'},',439,':"f',437,'12,"102":11,"108":13},',439,':"g','",a:0,d:0.2,ic:0.','0885,',439,':"h",ic:0.',454,439,':"i",ic:0.102,',439,456,626,439,':"k",',474,439,':"l',441,883,'0.0511},',439,':"m',842,454,439,':"n',842,454,'krn:{"39":-0.102},',439,':"o',842,'0631',807,607,'97',607,'111',607,'100',607,'99',607,'103',607,'113',619,'},',439,':"p',910,'0631',807,607,'97',607,'111',607,'100',607,'99',607,'103',607,'113',619,'},',439,':"q',910,'0885,',439,':"r',842,'108',807,607,'97',607,'111',607,'100',607,'99',607,'103',607,'113',619,'},',439,':"s',842,'0821,',439,':"t",ic:0.0949,',439,':"u',842,454,439,':"v',842,'108,',439,':"w',842,1011,883,'0.0511},',439,':"x',842,'12,',439,':"y',910,'0885,',439,':"z',842,'123,',439,':"&#x2013;",a:0.1,ic:0.','0921',550,'124},',439,':"&#x2014;",a:0.1,ic:0.','0921,',439,':"&#x2DD;",',590,1,461,3,'x2DC;",','ic:0.116,',1,461,3,'xA8;",',1,461,'"}],cmbx10',395,1,'bgreek"},{c:"&','Delta;",',1,1055,402,1,1055,'Lambda;",',1,1055,'Xi;",',1,1055,'Pi;",',1,1055,415,1,1055,420,1,1055,424,1,1055,428,1,1055,432,1,'bgreek','"},{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:"bold"},{c',':"fi",',1089,':"fl",',1089,':"ffi",',1089,':"ffl",',1089,452,1089,456,1089,':"&#x60;",',1,'baccent',3,463,1,1104,3,468,1,1104,3,473,1,1104,3,478,1,1104,3,'x2DA;",',1,1104,486,1089,489,1089,492,1089,495,1089,498,1089,501,1089,505,1089,509,1089,512,'278,"76":-0.319},',1089,515,591,'60},',1089,519,1089,':"#",',1089,':"$",',1089,':"%",',1089,528,1089,531,533,'111,"33":0.111},lig:{"39":34},',1089,536,1089,539,1089,':"*",',1089,544,1089,':",",a:-0.3,d:0.2,w:0.278,',1089,':"-",a:0',550,'123},',1089,':".",a:-0.25,',1089,':"/",',1089,':"0",',1089,':"1",',1089,':"2",',1089,':"3",',1089,':"4",',1089,':"5",',1089,':"6",',1089,':"7",',1089,':"8",',1089,':"9",',1089,':":",',1089,':";",',1089,581,1089,584,1089,':"&#xBF;",',1089,589,591,'62},',1089,':"@",',1089,':"A",krn:{"116','":-0.0278,"','67',1217,'79',1217,'71',1217,'85',1217,'81',1217,'84','":-0.0833,"','89',1229,'86":-0.','111,"87":-0.111},',1089,':"B",',1089,625,1089,':"D",krn:{"88',1217,'87',1217,'65',1217,'86',1217,638,'0278},',1089,':"E",',1089,':"F",krn:{"111',1229,'101',1229,'117','":-0.0833,"114":-0.0833,"97":-0.0833,"65":-0.','111,"79',1217,'67',1217,'71',1217,'81":-0.0278','},',1089,':"G",',1089,':"H",',1089,':"I",krn:{"73":0.0278},',1089,':"J",',1089,':"K",krn:{"79',1217,'67',1217,'71',1217,1264,'},',1089,':"L",krn:{"84',1229,'89',1229,1232,'111,"87":-0.111},',1089,':"M",',1089,':"N",',1089,':"O",krn:{"88',1217,'87',1217,'65',1217,'86',1217,638,'0278},',1089,':"P",krn:{"65',1229,'111',1217,'101',1217,'97',1217,'46',1229,'44":-0.0833},',1089,727,1089,':"R",krn:{"116',1217,'67',1217,'79',1217,'71',1217,'85',1217,'81',1217,'84',1229,'89',1229,1232,'111,"87":-0.111},',1089,':"S",',1089,':"T",krn:{"121',1217,'101',1229,'111',1257,'0833,"117":-0.0833','},',1089,':"U",',1089,773,'0139,krn:{"','111',1229,'101',1229,'117',1257,'111,"79',1217,'67',1217,'71',1217,1264,'},',1089,792,1353,'111',1229,'101',1229,'117',1257,'111,"79',1217,'67',1217,'71',1217,1264,'},',1089,':"X",krn:{"79',1217,'67',1217,'71',1217,1264,'},',1089,805,'025',807,1229,'111',1257,1347,'},',1089,815,1089,818,1089,821,1089,824,1089,827,1,1104,3,832,1,1104,3,837,591,'92},',1089,':"a','",a:0,krn:{"','118',1217,'106":0.','0556,"121',1217,'119":-0.','0278},',1089,':"b",krn:{"101','":0.0278,"','111',1435,'120',1217,'100',1435,'99',1435,'113',1435,'118',1217,1428,'0556,"121',1217,1431,'0278},',1089,':"c',1425,'104',1217,'107":-0.0278},',1089,':"d",',1089,':"e",a:0,',1089,':"f',1087,'12,"102":11,"108":13},',1089,':"g',910,1353,1428,'0278},',1089,':"h",krn:{"116',1217,'117',1217,'98',1217,'121',1217,'118',1217,1431,'0278},',1089,':"i",',1089,456,1089,':"k",krn:{"97":-0.0556,"101',1217,'97',1217,'111',1217,'99":-0.','0278},',1089,':"l",',1089,':"m',1425,'116',1217,'117',1217,'98',1217,'121',1217,'118',1217,1431,'0278},',1089,':"n',1425,'116',1217,'117',1217,'98',1217,'121',1217,'118',1217,1431,'0278},',1089,':"o",a:0',807,1435,'111',1435,'120',1217,'100',1435,'99',1435,'113',1435,'118',1217,1428,'0556,"121',1217,1431,'0278},',1089,':"p",a:0,d:0.2',807,1435,'111',1435,'120',1217,'100',1435,'99',1435,'113',1435,'118',1217,1428,'0556,"121',1217,1431,'0278},',1089,':"q",a:0,d:0.2,',1089,':"r",a:0,',1089,':"s",a:0,',1089,':"t",krn:{"121',1217,1431,'0278},',1089,':"u',1425,1431,'0278},',1089,':"v',842,1353,'97":-0.0556,"101',1217,'97',1217,'111',1217,1497,'0278},',1089,':"w',842,'0139',807,1217,'97',1217,'111',1217,1497,'0278},',1089,':"x",a:0,',1089,':"y',910,1353,'111',1217,'101',1217,'97',1217,'46',1229,'44":-0.0833},',1089,':"z",a:0,',1089,1031,'0278',550,'124},',1089,1036,'0278,',1089,1039,1,1104,3,1044,1,1104,3,'xA8;",',1,1104,'"}]});','jsMath.Setup.Styles({".typeset .','cmr10','":"font-family: ','serif','",".typeset .','italic":"font-style: italic',1655,'bold":"font-weight: bold',1655,'lucida','":"font-family: \'','Lucida Grande','\'",".typeset .',2,'":"font-family: \'Apple Symbols\'; font-size: ','125','%",".typeset .','cal',1661,'Apple Chancery',1663,'arrows','":"font-family: \'Hiragino Mincho Pro',1663,'Arrows',1661,'AppleGothic',1663,'arrow1',1673,'\'; ','position: relative; top',': .075em; margin: -1px',1655,335,1673,'\'; margin:-.','3em',1655,'harpoon',1653,1677,'; ','font-size: ','90',1667,351,1673,1663,'symbol2',1673,1687,'2em',1655,'symbol3',1653,1677,1655,'delim1',1653,'Times; ',1694,'133',272,'7em',1655,'delim1a',1665,'125',272,'75em',1655,'delim1b',1673,'\'; ',1694,'133',272,'8em; ',256,1655,'delim1c',1653,'Symbol; ',1694,'120',272,'8em',';",".typeset .',224,1653,'Baskerville','; ',1694,'180',272,1721,1655,235,1665,'175',272,'8em',1655,'delim2b',1673,'\'; ',1694,'190',272,'8em; ',256,1655,26,1653,'Symbol; ',1694,'167',272,'8em',1739,'delim3',1653,1742,'; ',1694,'250',272,'725em',1655,'delim3a',1665,'240',272,'78em',1655,'delim3b',1673,'\'; ',1694,'250',272,'8em; ',256,1655,'delim3c',1653,351,'; ',1694,'240',272,'775em',1739,'delim4',1653,1742,'; ',1694,'325',272,'7em',1655,'delim4a',1665,'310',272,1721,1655,'delim4b',1673,'\'; ',1694,'325',272,'8em; ',256,1655,'delim4c',1653,'Symbol; ',1694,'300',272,'8em',1739,'vertical',1653,'Copperplate',1655,'vertical1',1653,1839,'; ',1694,'85%; margin: .','15em',1739,'vertical2',1653,1839,'; ',1694,1846,'17em',1739,'greek',1673,'\', serif',346,'2em',356,'2em',1739,435,1673,'\', serif','; font-style:italic',346,'2em',356,'1em',1655,1085,1673,'\', serif','; font-weight:bold',1655,37,1673,'\'; ',1694,'133%; ',1682,': .7em; margin:-.','05em',1655,92,1653,1742,'; ',1694,'100%; ',1682,': .775em',1739,110,1673,'\'; ',1694,'160%; ',1682,': .67em','; margin:-.1em',1655,48,1665,'125%; ',1682,': .',1721,1904,1739,42,1673,'\'; ',1694,'200%; ',1682,': .6em; margin:-.07em',1655,139,1653,1742,'; ',1694,'175%; ',1682,1903,1739,155,1673,'\'; ',1694,'270%; ',1682,': .62em',1904,1655,52,1665,'250%; ',1682,1885,'17em',1739,194,'":"',1694,'67%; ',1682,':-.8em',1655,199,'":"',1694,'110%; ',1682,':-.5em',1655,204,'":"',1694,'175%; ',1682,':-.32em',1655,210,'":"',1694,'75%; ',1682,1959,1655,215,'":"',1694,'133%; ',1682,': -.15em',1655,'wide3a":"',1694,'200%; ',1682,': -.05em',1655,277,1653,1742,1739,'accent":"',1682,': .02em',1655,461,'":"',1682,1994,1868,1655,1104,'":"',1682,1994,1877,'"});','if(jsMath.browser=="','OmniWeb"){jsMath.Update.TeXfonts({cmsy10:{"55":{',255,1694,'75%; position:relative; left:.3em; top:-.15em',346,'3em">&#x02EB;</span>\'},"104','":{c:\'<span style="position:relative; top:.2em; margin-','left:-.55em">&#x3008;</span>\'},"105',2015,'right:-.55em">&#x3009;</span>\'}}});',1651,'arrow2',1653,'Symbol; ',1694,'100%; ',1682,': -.1em; margin:-1px"})}',2008,'Opera"){',1651,48,'":"margin:0pt .12em 0pt 0pt',1739,52,2031,';"})}',2008,'Mozilla','"){jsMath.Setup.Script("jsMath-fallback-mac-','mozilla.js")}',2008,'MSIE',2038,'msie.js")}jsMath.Macro("not","\\\\mathrel{\\\\rlap{\\\\kern 4mu/}}");jsMath.Box.defaultH=0.8;']
]);