!function(e,t){“object”==typeof exports&&“object”==typeof module?module.exports=t():“function”==typeof define&&define.amd?define([],t):“object”==typeof exports?exports.katex=t():e.katex=t()}(“undefined”!=typeof self?self:this,(function(){return function(){“use strict”;var e={d:function(t,r){for(var n in r)e.o(r,n)&&!e.o(t,n)&&Object.defineProperty(t,n,{enumerable:!0,get:r[n]})},o:function(e,t){return Object.prototype.hasOwnProperty.call(e,t)}},t={};e.d(t,{default:function(){return Kn}});var r=function e(t,r){this.position=void 0;var n,a=“KaTeX parse error: ”+t,i=r&&r.loc;if(i&&i.start<=i.end){var o=i.lexer.input;n=i.start;var s=i.end;n===o.length?a+=" at end of input: ":a+=" at position "+(n+1)+": ";var l=o.slice(n,s).replace(/[^]/g,"$&\u0332");a+=(n>15?“u2026”+o.slice(n-15,n):o.slice(0,n))l(s+15“:”>“,”<":"<",'"':""","'":"'"},o=/[&><"']/g;var s=function e(t){return"ordgroup"===t.type||"color"===t.type?1===t.body.length?e(t.body[0]):t:"font"===t.type?e(t.body):t},l={contains:function(e,t){return-1!==e.indexOf(t)},deflt:function(e,t){return void 0===e?t:e},escape:function(e){return String(e).replace(o,(function(e){return i[e]}))},hyphenate:function(e){return e.replace(a,"-$1").toLowerCase()},getBaseElem:s,isCharacterBox:function(e){var t=s(e);return"mathord"===t.type||"textord"===t.type||"atom"===t.type},protocolFromUrl:function(e){var t=/^\s*([^\\/#]*?)(?::|�*58|�*3a)/i.exec(e);return null!=t?t[1]:"_relative"}},h=function(){function e(e){this.displayMode=void 0,this.output=void 0,this.leqno=void 0,this.fleqn=void 0,this.throwOnError=void 0,this.errorColor=void 0,this.macros=void 0,this.minRuleThickness=void 0,this.colorIsTextColor=void 0,this.strict=void 0,this.trust=void 0,this.maxSize=void 0,this.maxExpand=void 0,this.globalGroup=void 0,e=e||{},this.displayMode=l.deflt(e.displayMode,!1),this.output=l.deflt(e.output,"htmlAndMathml"),this.leqno=l.deflt(e.leqno,!1),this.fleqn=l.deflt(e.fleqn,!1),this.throwOnError=l.deflt(e.throwOnError,!0),this.errorColor=l.deflt(e.errorColor,"#cc0000"),this.macros=e.macros||{},this.minRuleThickness=Math.max(0,l.deflt(e.minRuleThickness,0)),this.colorIsTextColor=l.deflt(e.colorIsTextColor,!1),this.strict=l.deflt(e.strict,"warn"),this.trust=l.deflt(e.trust,!1),this.maxSize=Math.max(0,l.deflt(e.maxSize,1/0)),this.maxExpand=Math.max(0,l.deflt(e.maxExpand,1e3)),this.globalGroup=l.deflt(e.globalGroup,!1)}var t=e.prototype;return t.reportNonstrict=function(e,t,r){var a=this.strict;if("function"==typeof a&&(a=a(e,t,r)),a&&"ignore"!==a){if(!0===a||"error"===a)throw new n("LaTeX-incompatible input and strict mode is set to 'error': "t“ [”e“]”,r);“warn”===a?“undefined”!=typeof console&&console.warn(“LaTeX-incompatible input and strict mode is set to ‘warn’: ”t“ [”e“]”):“undefined”!=typeof console&&console.warn(“LaTeX-incompatible input and strict mode is set to unrecognized ‘”a“’: ”t“ [”e“]”)}},t.useStrictBehavior=function(e,t,r){var n=this.strict;if(“function”==typeof n)try{n=n(e,t,r)}catch(e){n=“error”}return!(!n||“ignore”===n)&&(!0===n||“error”===n||(“warn”===n?(“undefined”!=typeof console&&console.warn(“LaTeX-incompatible input and strict mode is set to ‘warn’: ”t“ [”e“]”),!1):(“undefined”!=typeof console&&console.warn(“LaTeX-incompatible input and strict mode is set to unrecognized ‘”n“’: ”t“ [”e“]”),!1)))},t.isTrusted=function(e){e.url&&!e.protocol&&(e.protocol=l.protocolFromUrl(e.url));var t=“function”==typeof this.trust?this.trust(e):this.trust;return Boolean(t)},e}(),m=function(){function e(e,t,r){this.id=void 0,this.size=void 0,this.cramped=void 0,this.id=e,this.size=t,this.cramped=r}var t=e.prototype;return t.sup=function(){return c[u[this.id]]},t.sub=function(){return c[p[this.id]]},t.fracNum=function(){return c[d[this.id]]},t.fracDen=function(){return c[f[this.id]]},t.cramp=function(){return c[g[this.id]]},t.text=function(){return c[v[this.id]]},t.isTight=function(){return this.size>=2},e}(),c=[new m(0,0,!1),new m(1,0,!0),new m(2,1,!1),new m(3,1,!0),new m(4,2,!1),new m(5,2,!0),new m(6,3,!1),new m(7,3,!0)],u=[4,5,4,5,6,7,6,7],p=[5,5,5,5,7,7,7,7],d=[2,3,4,5,6,7,6,7],f=[3,3,5,5,7,7,7,7],g=[1,1,3,3,5,5,7,7],v=[0,1,2,3,2,3,2,3],b={DISPLAY:c[0],TEXT:c[2],SCRIPT:c[4],SCRIPTSCRIPT:c[6]},y=[{name:“latin”,blocks:[[256,591],[768,879]]},{name:“cyrillic”,blocks:[[1024,1279]]},{name:“armenian”,blocks:[[1328,1423]]},{name:“brahmic”,blocks:[[2304,4255]]},{name:“georgian”,blocks:[[4256,4351]]},{name:“cjk”,blocks:[[12288,12543],[19968,40879],[65280,65376]]},{name:“hangul”,blocks:[[44032,55215]]}];var x=[];function w(e){for(var t=0;t=x[t]&&e<=x[t+1])return!0;return!1}y.forEach((function(e){return e.blocks.forEach((function(e){return x.push.apply(x,e)}))}));var k=80,S={doubleleftarrow:"M262 157\nl10-10c34-36 62.7-77 86-123 3.3-8 5-13.3 5-16 0-5.3-6.7-8-20-8-7.3\n 0-12.2.5-14.5 1.5-2.3 1-4.8 4.5-7.5 10.5-49.3 97.3-121.7 169.3-217 216-28\n 14-57.3 25-88 33-6.7 2-11 3.8-13 5.5-2 1.7-3 4.2-3 7.5s1 5.8 3 7.5\nc2 1.7 6.3 3.5 13 5.5 68 17.3 128.2 47.8 180.5 91.5 52.3 43.7 93.8 96.2 124.5\n 157.5 9.3 8 15.3 12.3 18 13h6c12-.7 18-4 18-10 0-2-1.7-7-5-15-23.3-46-52-87\n-86-123l-10-10h399738v-40H218c328 0 0 0 0 0l-10-8c-26.7-20-65.7-43-117-69 2.7\n-2 6-3.7 10-5 36.7-16 72.3-37.3 107-64l10-8h399782v-40z\nm8 0v40h399730v-40zm0 194v40h399730v-40z",doublerightarrow:"M399738 392l\n-10 10c-34 36-62.7 77-86 123-3.3 8-5 13.3-5 16 0 5.3 6.7 8 20 8 7.3 0 12.2-.5\n 14.5-1.5 2.3-1 4.8-4.5 7.5-10.5 49.3-97.3 121.7-169.3 217-216 28-14 57.3-25 88\n-33 6.7-2 11-3.8 13-5.5 2-1.7 3-4.2 3-7.5s-1-5.8-3-7.5c-2-1.7-6.3-3.5-13-5.5-68\n-17.3-128.2-47.8-180.5-91.5-52.3-43.7-93.8-96.2-124.5-157.5-9.3-8-15.3-12.3-18\n-13h-6c-12 .7-18 4-18 10 0 2 1.7 7 5 15 23.3 46 52 87 86 123l10 10H0v40h399782\nc-328 0 0 0 0 0l10 8c26.7 20 65.7 43 117 69-2.7 2-6 3.7-10 5-36.7 16-72.3 37.3\n-107 64l-10 8H0v40zM0 157v40h399730v-40zm0 194v40h399730v-40z",leftarrow:"M400000 241H110l3-3c68.7-52.7 113.7-120\n 135-202 4-14.7 6-23 6-25 0-7.3-7-11-21-11-8 0-13.2.8-15.5 2.5-2.3 1.7-4.2 5.8\n-5.5 12.5-1.3 4.7-2.7 10.3-4 17-12 48.7-34.8 92-68.5 130S65.3 228.3 18 247\nc-10 4-16 7.7-18 11 0 8.7 6 14.3 18 17 47.3 18.7 87.8 47 121.5 85S196 441.3 208\n 490c.7 2 1.3 5 2 9s1.2 6.7 1.5 8c.3 1.3 1 3.3 2 6s2.2 4.5 3.5 5.5c1.3 1 3.3\n 1.8 6 2.5s6 1 10 1c14 0 21-3.7 21-11 0-2-2-10.3-6-25-20-79.3-65-146.7-135-202\n l-3-3h399890zM100 241v40h399900v-40z",leftbrace:"M6 548l-6-6v-35l6-11c56-104 135.3-181.3 238-232 57.3-28.7 117\n-45 179-50h399577v120H403c-43.3 7-81 15-113 26-100.7 33-179.7 91-237 174-2.7\n 5-6 9-10 13-.7 1-7.3 1-20 1H6z",leftbraceunder:"M0 6l6-6h17c12.688 0 19.313.3 20 1 4 4 7.313 8.3 10 13\n 35.313 51.3 80.813 93.8 136.5 127.5 55.688 33.7 117.188 55.8 184.5 66.5.688\n 0 2 .3 4 1 18.688 2.7 76 4.3 172 5h399450v120H429l-6-1c-124.688-8-235-61.7\n-331-161C60.687 138.7 32.312 99.3 7 54L0 41V6z",leftgroup:"M400000 80\nH435C64 80 168.3 229.4 21 260c-5.9 1.2-18 0-18 0-2 0-3-1-3-3v-38C76 61 257 0\n 435 0h399565z",leftgroupunder:"M400000 262\nH435C64 262 168.3 112.6 21 82c-5.9-1.2-18 0-18 0-2 0-3 1-3 3v38c76 158 257 219\n 435 219h399565z",leftharpoon:"M0 267c.7 5.3 3 10 7 14h399993v-40H93c3.3\n-3.3 10.2-9.5 20.5-18.5s17.8-15.8 22.5-20.5c50.7-52 88-110.3 112-175 4-11.3 5\n-18.3 3-21-1.3-4-7.3-6-18-6-8 0-13 .7-15 2s-4.7 6.7-8 16c-42 98.7-107.3 174.7\n-196 228-6.7 4.7-10.7 8-12 10-1.3 2-2 5.7-2 11zm100-26v40h399900v-40z",leftharpoonplus:"M0 267c.7 5.3 3 10 7 14h399993v-40H93c3.3-3.3 10.2-9.5\n 20.5-18.5s17.8-15.8 22.5-20.5c50.7-52 88-110.3 112-175 4-11.3 5-18.3 3-21-1.3\n-4-7.3-6-18-6-8 0-13 .7-15 2s-4.7 6.7-8 16c-42 98.7-107.3 174.7-196 228-6.7 4.7\n-10.7 8-12 10-1.3 2-2 5.7-2 11zm100-26v40h399900v-40zM0 435v40h400000v-40z\nm0 0v40h400000v-40z",leftharpoondown:"M7 241c-4 4-6.333 8.667-7 14 0 5.333.667 9 2 11s5.333\n 5.333 12 10c90.667 54 156 130 196 228 3.333 10.667 6.333 16.333 9 17 2 .667 5\n 1 9 1h5c10.667 0 16.667-2 18-6 2-2.667 1-9.667-3-21-32-87.333-82.667-157.667\n-152-211l-3-3h399907v-40zM93 281 H400000 v-40L7 241z",leftharpoondownplus:"M7 435c-4 4-6.3 8.7-7 14 0 5.3.7 9 2 11s5.3 5.3 12\n 10c90.7 54 156 130 196 228 3.3 10.7 6.3 16.3 9 17 2 .7 5 1 9 1h5c10.7 0 16.7\n-2 18-6 2-2.7 1-9.7-3-21-32-87.3-82.7-157.7-152-211l-3-3h399907v-40H7zm93 0\nv40h399900v-40zM0 241v40h399900v-40zm0 0v40h399900v-40z",lefthook:"M400000 281 H103s-33-11.2-61-33.5S0 197.3 0 164s14.2-61.2 42.5\n-83.5C70.8 58.2 104 47 142 47 c16.7 0 25 6.7 25 20 0 12-8.7 18.7-26 20-40 3.3\n-68.7 15.7-86 37-10 12-15 25.3-15 40 0 22.7 9.8 40.7 29.5 54 19.7 13.3 43.5 21\n 71.5 23h399859zM103 281v-40h399897v40z",leftlinesegment:"M40 281 V428 H0 V94 H40 V241 H400000 v40z\nM40 281 V428 H0 V94 H40 V241 H400000 v40z",leftmapsto:"M40 281 V448H0V74H40V241H400000v40z\nM40 281 V448H0V74H40V241H400000v40z",leftToFrom:"M0 147h400000v40H0zm0 214c68 40 115.7 95.7 143 167h22c15.3 0 23\n-.3 23-1 0-1.3-5.3-13.7-16-37-18-35.3-41.3-69-70-101l-7-8h399905v-40H95l7-8\nc28.7-32 52-65.7 70-101 10.7-23.3 16-35.7 16-37 0-.7-7.7-1-23-1h-22C115.7 265.3\n 68 321 0 361zm0-174v-40h399900v40zm100 154v40h399900v-40z",longequal:"M0 50 h400000 v40H0z m0 194h40000v40H0z\nM0 50 h400000 v40H0z m0 194h40000v40H0z",midbrace:"M200428 334\nc-100.7-8.3-195.3-44-280-108-55.3-42-101.7-93-139-153l-9-14c-2.7 4-5.7 8.7-9 14\n-53.3 86.7-123.7 153-211 199-66.7 36-137.3 56.3-212 62H0V214h199568c178.3-11.7\n 311.7-78.3 403-201 6-8 9.7-12 11-12 .7-.7 6.7-1 18-1s17.3.3 18 1c1.3 0 5 4 11\n 12 44.7 59.3 101.3 106.3 170 141s145.3 54.3 229 60h199572v120z",midbraceunder:"M199572 214\nc100.7 8.3 195.3 44 280 108 55.3 42 101.7 93 139 153l9 14c2.7-4 5.7-8.7 9-14\n 53.3-86.7 123.7-153 211-199 66.7-36 137.3-56.3 212-62h199568v120H200432c-178.3\n 11.7-311.7 78.3-403 201-6 8-9.7 12-11 12-.7.7-6.7 1-18 1s-17.3-.3-18-1c-1.3 0\n-5-4-11-12-44.7-59.3-101.3-106.3-170-141s-145.3-54.3-229-60H0V214z",oiintSize1:"M512.6 71.6c272.6 0 320.3 106.8 320.3 178.2 0 70.8-47.7 177.6\n-320.3 177.6S193.1 320.6 193.1 249.8c0-71.4 46.9-178.2 319.5-178.2z\nm368.1 178.2c0-86.4-60.9-215.4-368.1-215.4-306.4 0-367.3 129-367.3 215.4 0 85.8\n60.9 214.8 367.3 214.8 307.2 0 368.1-129 368.1-214.8z",oiintSize2:"M757.8 100.1c384.7 0 451.1 137.6 451.1 230 0 91.3-66.4 228.8\n-451.1 228.8-386.3 0-452.7-137.5-452.7-228.8 0-92.4 66.4-230 452.7-230z\nm502.4 230c0-111.2-82.4-277.2-502.4-277.2s-504 166-504 277.2\nc0 110 84 276 504 276s502.4-166 502.4-276z",oiiintSize1:"M681.4 71.6c408.9 0 480.5 106.8 480.5 178.2 0 70.8-71.6 177.6\n-480.5 177.6S202.1 320.6 202.1 249.8c0-71.4 70.5-178.2 479.3-178.2z\nm525.8 178.2c0-86.4-86.8-215.4-525.7-215.4-437.9 0-524.7 129-524.7 215.4 0\n85.8 86.8 214.8 524.7 214.8 438.9 0 525.7-129 525.7-214.8z",oiiintSize2:"M1021.2 53c603.6 0 707.8 165.8 707.8 277.2 0 110-104.2 275.8\n-707.8 275.8-606 0-710.2-165.8-710.2-275.8C311 218.8 415.2 53 1021.2 53z\nm770.4 277.1c0-131.2-126.4-327.6-770.5-327.6S248.4 198.9 248.4 330.1\nc0 130 128.8 326.4 772.7 326.4s770.5-196.4 770.5-326.4z",rightarrow:"M0 241v40h399891c-47.3 35.3-84 78-110 128\n-16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20\n 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7\n 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85\n-40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5\n-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67\n 151.7 139 205zm0 0v40h399900v-40z",rightbrace:"M400000 542l\n-6 6h-17c-12.7 0-19.3-.3-20-1-4-4-7.3-8.3-10-13-35.3-51.3-80.8-93.8-136.5-127.5\ns-117.2-55.8-184.5-66.5c-.7 0-2-.3-4-1-18.7-2.7-76-4.3-172-5H0V214h399571l6 1\nc124.7 8 235 61.7 331 161 31.3 33.3 59.7 72.7 85 118l7 13v35z",rightbraceunder:"M399994 0l6 6v35l-6 11c-56 104-135.3 181.3-238 232-57.3\n 28.7-117 45-179 50H-300V214h399897c43.3-7 81-15 113-26 100.7-33 179.7-91 237\n-174 2.7-5 6-9 10-13 .7-1 7.3-1 20-1h17z",rightgroup:"M0 80h399565c371 0 266.7 149.4 414 180 5.9 1.2 18 0 18 0 2 0\n 3-1 3-3v-38c-76-158-257-219-435-219H0z",rightgroupunder:"M0 262h399565c371 0 266.7-149.4 414-180 5.9-1.2 18 0 18\n 0 2 0 3 1 3 3v38c-76 158-257 219-435 219H0z",rightharpoon:"M0 241v40h399993c4.7-4.7 7-9.3 7-14 0-9.3\n-3.7-15.3-11-18-92.7-56.7-159-133.7-199-231-3.3-9.3-6-14.7-8-16-2-1.3-7-2-15-2\n-10.7 0-16.7 2-18 6-2 2.7-1 9.7 3 21 15.3 42 36.7 81.8 64 119.5 27.3 37.7 58\n 69.2 92 94.5zm0 0v40h399900v-40z",rightharpoonplus:"M0 241v40h399993c4.7-4.7 7-9.3 7-14 0-9.3-3.7-15.3-11\n-18-92.7-56.7-159-133.7-199-231-3.3-9.3-6-14.7-8-16-2-1.3-7-2-15-2-10.7 0-16.7\n 2-18 6-2 2.7-1 9.7 3 21 15.3 42 36.7 81.8 64 119.5 27.3 37.7 58 69.2 92 94.5z\nm0 0v40h399900v-40z m100 194v40h399900v-40zm0 0v40h399900v-40z",rightharpoondown:"M399747 511c0 7.3 6.7 11 20 11 8 0 13-.8 15-2.5s4.7-6.8\n 8-15.5c40-94 99.3-166.3 178-217 13.3-8 20.3-12.3 21-13 5.3-3.3 8.5-5.8 9.5\n-7.5 1-1.7 1.5-5.2 1.5-10.5s-2.3-10.3-7-15H0v40h399908c-34 25.3-64.7 57-92 95\n-27.3 38-48.7 77.7-64 119-3.3 8.7-5 14-5 16zM0 241v40h399900v-40z",rightharpoondownplus:"M399747 705c0 7.3 6.7 11 20 11 8 0 13-.8\n 15-2.5s4.7-6.8 8-15.5c40-94 99.3-166.3 178-217 13.3-8 20.3-12.3 21-13 5.3-3.3\n 8.5-5.8 9.5-7.5 1-1.7 1.5-5.2 1.5-10.5s-2.3-10.3-7-15H0v40h399908c-34 25.3\n-64.7 57-92 95-27.3 38-48.7 77.7-64 119-3.3 8.7-5 14-5 16zM0 435v40h399900v-40z\nm0-194v40h400000v-40zm0 0v40h400000v-40z",righthook:"M399859 241c-764 0 0 0 0 0 40-3.3 68.7-15.7 86-37 10-12 15-25.3\n 15-40 0-22.7-9.8-40.7-29.5-54-19.7-13.3-43.5-21-71.5-23-17.3-1.3-26-8-26-20 0\n-13.3 8.7-20 26-20 38 0 71 11.2 99 33.5 0 0 7 5.6 21 16.7 14 11.2 21 33.5 21\n 66.8s-14 61.2-42 83.5c-28 22.3-61 33.5-99 33.5L0 241z M0 281v-40h399859v40z",rightlinesegment:"M399960 241 V94 h40 V428 h-40 V281 H0 v-40z\nM399960 241 V94 h40 V428 h-40 V281 H0 v-40z",rightToFrom:"M400000 167c-70.7-42-118-97.7-142-167h-23c-15.3 0-23 .3-23\n 1 0 1.3 5.3 13.7 16 37 18 35.3 41.3 69 70 101l7 8H0v40h399905l-7 8c-28.7 32\n-52 65.7-70 101-10.7 23.3-16 35.7-16 37 0 .7 7.7 1 23 1h23c24-69.3 71.3-125 142\n-167z M100 147v40h399900v-40zM0 341v40h399900v-40z",twoheadleftarrow:"M0 167c68 40\n 115.7 95.7 143 167h22c15.3 0 23-.3 23-1 0-1.3-5.3-13.7-16-37-18-35.3-41.3-69\n-70-101l-7-8h125l9 7c50.7 39.3 85 86 103 140h46c0-4.7-6.3-18.7-19-42-18-35.3\n-40-67.3-66-96l-9-9h399716v-40H284l9-9c26-28.7 48-60.7 66-96 12.7-23.333 19\n-37.333 19-42h-46c-18 54-52.3 100.7-103 140l-9 7H95l7-8c28.7-32 52-65.7 70-101\n 10.7-23.333 16-35.7 16-37 0-.7-7.7-1-23-1h-22C115.7 71.3 68 127 0 167z",twoheadrightarrow:"M400000 167\nc-68-40-115.7-95.7-143-167h-22c-15.3 0-23 .3-23 1 0 1.3 5.3 13.7 16 37 18 35.3\n 41.3 69 70 101l7 8h-125l-9-7c-50.7-39.3-85-86-103-140h-46c0 4.7 6.3 18.7 19 42\n 18 35.3 40 67.3 66 96l9 9H0v40h399716l-9 9c-26 28.7-48 60.7-66 96-12.7 23.333\n-19 37.333-19 42h46c18-54 52.3-100.7 103-140l9-7h125l-7 8c-28.7 32-52 65.7-70\n 101-10.7 23.333-16 35.7-16 37 0 .7 7.7 1 23 1h22c27.3-71.3 75-127 143-167z",tilde1:"M200 55.538c-77 0-168 73.953-177 73.953-3 0-7\n-2.175-9-5.437L2 97c-1-2-2-4-2-6 0-4 2-7 5-9l20-12C116 12 171 0 207 0c86 0\n 114 68 191 68 78 0 168-68 177-68 4 0 7 2 9 5l12 19c1 2.175 2 4.35 2 6.525 0\n 4.35-2 7.613-5 9.788l-19 13.05c-92 63.077-116.937 75.308-183 76.128\n-68.267.847-113-73.952-191-73.952z",tilde2:"M344 55.266c-142 0-300.638 81.316-311.5 86.418\n-8.01 3.762-22.5 10.91-23.5 5.562L1 120c-1-2-1-3-1-4 0-5 3-9 8-10l18.4-9C160.9\n 31.9 283 0 358 0c148 0 188 122 331 122s314-97 326-97c4 0 8 2 10 7l7 21.114\nc1 2.14 1 3.21 1 4.28 0 5.347-3 9.626-7 10.696l-22.3 12.622C852.6 158.372 751\n 181.476 676 181.476c-149 0-189-126.21-332-126.21z",tilde3:"M786 59C457 59 32 175.242 13 175.242c-6 0-10-3.457\n-11-10.37L.15 138c-1-7 3-12 10-13l19.2-6.4C378.4 40.7 634.3 0 804.3 0c337 0\n 411.8 157 746.8 157 328 0 754-112 773-112 5 0 10 3 11 9l1 14.075c1 8.066-.697\n 16.595-6.697 17.492l-21.052 7.31c-367.9 98.146-609.15 122.696-778.15 122.696\n -338 0-409-156.573-744-156.573z",tilde4:"M786 58C457 58 32 177.487 13 177.487c-6 0-10-3.345\n-11-10.035L.15 143c-1-7 3-12 10-13l22-6.7C381.2 35 637.15 0 807.15 0c337 0 409\n 177 744 177 328 0 754-127 773-127 5 0 10 3 11 9l1 14.794c1 7.805-3 13.38-9\n 14.495l-20.7 5.574c-366.85 99.79-607.3 139.372-776.3 139.372-338 0-409\n -175.236-744-175.236z",vec:"M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359\nc-16-25.333-24-45-24-59z",widehat1:"M529 0h5l519 115c5 1 9 5 9 10 0 1-1 2-1 3l-4 22\nc-1 5-5 9-11 9h-2L532 67 19 159h-2c-5 0-9-4-11-9l-5-22c-1-6 2-12 8-13z",widehat2:"M1181 0h2l1171 176c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 220h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z",widehat3:"M1181 0h2l1171 236c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 280h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z",widehat4:"M1181 0h2l1171 296c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 340h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z",widecheck1:"M529,159h5l519,-115c5,-1,9,-5,9,-10c0,-1,-1,-2,-1,-3l-4,-22c-1,\n-5,-5,-9,-11,-9h-2l-512,92l-513,-92h-2c-5,0,-9,4,-11,9l-5,22c-1,6,2,12,8,13z",widecheck2:"M1181,220h2l1171,-176c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,153l-1167,-153h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z",widecheck3:"M1181,280h2l1171,-236c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,213l-1167,-213h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z",widecheck4:"M1181,340h2l1171,-296c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,273l-1167,-273h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z",baraboveleftarrow:"M400000 620h-399890l3 -3c68.7 -52.7 113.7 -120 135 -202\nc4 -14.7 6 -23 6 -25c0 -7.3 -7 -11 -21 -11c-8 0 -13.2 0.8 -15.5 2.5\nc-2.3 1.7 -4.2 5.8 -5.5 12.5c-1.3 4.7 -2.7 10.3 -4 17c-12 48.7 -34.8 92 -68.5 130\ns-74.2 66.3 -121.5 85c-10 4 -16 7.7 -18 11c0 8.7 6 14.3 18 17c47.3 18.7 87.8 47\n121.5 85s56.5 81.3 68.5 130c0.7 2 1.3 5 2 9s1.2 6.7 1.5 8c0.3 1.3 1 3.3 2 6\ns2.2 4.5 3.5 5.5c1.3 1 3.3 1.8 6 2.5s6 1 10 1c14 0 21 -3.7 21 -11\nc0 -2 -2 -10.3 -6 -25c-20 -79.3 -65 -146.7 -135 -202l-3 -3h399890z\nM100 620v40h399900v-40z M0 241v40h399900v-40zM0 241v40h399900v-40z",rightarrowabovebar:"M0 241v40h399891c-47.3 35.3-84 78-110 128-16.7 32\n-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0\n13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39\n-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85-40.5\n-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5\n-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67\n151.7 139 205zm96 379h399894v40H0zm0 0h399904v40H0z",baraboveshortleftharpoon:"M507,435c-4,4,-6.3,8.7,-7,14c0,5.3,0.7,9,2,11\nc1.3,2,5.3,5.3,12,10c90.7,54,156,130,196,228c3.3,10.7,6.3,16.3,9,17\nc2,0.7,5,1,9,1c0,0,5,0,5,0c10.7,0,16.7,-2,18,-6c2,-2.7,1,-9.7,-3,-21\nc-32,-87.3,-82.7,-157.7,-152,-211c0,0,-3,-3,-3,-3l399351,0l0,-40\nc-398570,0,-399437,0,-399437,0z M593 435 v40 H399500 v-40z\nM0 281 v-40 H399908 v40z M0 281 v-40 H399908 v40z",rightharpoonaboveshortbar:"M0,241 l0,40c399126,0,399993,0,399993,0\nc4.7,-4.7,7,-9.3,7,-14c0,-9.3,-3.7,-15.3,-11,-18c-92.7,-56.7,-159,-133.7,-199,\n-231c-3.3,-9.3,-6,-14.7,-8,-16c-2,-1.3,-7,-2,-15,-2c-10.7,0,-16.7,2,-18,6\nc-2,2.7,-1,9.7,3,21c15.3,42,36.7,81.8,64,119.5c27.3,37.7,58,69.2,92,94.5z\nM0 241 v40 H399908 v-40z M0 475 v-40 H399500 v40z M0 475 v-40 H399500 v40z",shortbaraboveleftharpoon:"M7,435c-4,4,-6.3,8.7,-7,14c0,5.3,0.7,9,2,11\nc1.3,2,5.3,5.3,12,10c90.7,54,156,130,196,228c3.3,10.7,6.3,16.3,9,17c2,0.7,5,1,9,\n1c0,0,5,0,5,0c10.7,0,16.7,-2,18,-6c2,-2.7,1,-9.7,-3,-21c-32,-87.3,-82.7,-157.7,\n-152,-211c0,0,-3,-3,-3,-3l399907,0l0,-40c-399126,0,-399993,0,-399993,0z\nM93 435 v40 H400000 v-40z M500 241 v40 H400000 v-40z M500 241 v40 H400000 v-40z",shortrightharpoonabovebar:"M53,241l0,40c398570,0,399437,0,399437,0\nc4.7,-4.7,7,-9.3,7,-14c0,-9.3,-3.7,-15.3,-11,-18c-92.7,-56.7,-159,-133.7,-199,\n-231c-3.3,-9.3,-6,-14.7,-8,-16c-2,-1.3,-7,-2,-15,-2c-10.7,0,-16.7,2,-18,6\nc-2,2.7,-1,9.7,3,21c15.3,42,36.7,81.8,64,119.5c27.3,37.7,58,69.2,92,94.5z\nM500 241 v40 H399408 v-40z M500 435 v40 H400000 v-40z"},M=function(){function e(e){this.children=void 0,this.classes=void 0,this.height=void 0,this.depth=void 0,this.maxFontSize=void 0,this.style=void 0,this.children=e,this.classes=[],this.height=0,this.depth=0,this.maxFontSize=0,this.style={}}var t=e.prototype;return t.hasClass=function(e){return l.contains(this.classes,e)},t.toNode=function(){for(var e=document.createDocumentFragment(),t=0;tthis.style[n]“;”);for(var a in r&&(t+=‘ style=“’+l.escape®+‘”’),this.attributes)this.attributes.hasOwnProperty(a)&&(t+=“ ”a‘=“’+l.escape(this.attributes[a])+‘”’);t+=“>”;for(var i=0;ie“>”},q=function(){function e(e,t,r,n){this.children=void 0,this.attributes=void 0,this.classes=void 0,this.height=void 0,this.depth=void 0,this.width=void 0,this.maxFontSize=void 0,this.style=void 0,A.call(this,e,r,n),this.children=t||[]}var t=e.prototype;return t.setAttribute=function(e,t){this.attributes[e]=t},t.hasClass=function(e){return l.contains(this.classes,e)},t.toNode=function(){return T.call(this,“span”)},t.toMarkup=function(){return B.call(this,“span”)},e}(),N=function(){function e(e,t,r,n){this.children=void 0,this.attributes=void 0,this.classes=void 0,this.height=void 0,this.depth=void 0,this.maxFontSize=void 0,this.style=void 0,A.call(this,t,n),this.children=r||[],this.setAttribute(“href”,e)}var t=e.prototype;return t.setAttribute=function(e,t){this.attributes[e]=t},t.hasClass=function(e){return l.contains(this.classes,e)},t.toNode=function(){return T.call(this,“a”)},t.toMarkup=function(){return B.call(this,“a”)},e}(),C=function(){function e(e,t,r){this.src=void 0,this.alt=void 0,this.classes=void 0,this.height=void 0,this.depth=void 0,this.maxFontSize=void 0,this.style=void 0,this.alt=t,this.src=e,this.classes=[“mord”],this.style=r}var t=e.prototype;return t.hasClass=function(e){return l.contains(this.classes,e)},t.toNode=function(){var e=document.createElement(“img”);for(var t in e.src=this.src,e.alt=this.alt,e.className=“mord”,this.style)this.style.hasOwnProperty(t)&&(e.style[t]=this.style[t]);return e},t.toMarkup=function(){var e=“0&&(r+=“margin-right:”this.italic“em;”),this.style)this.style.hasOwnProperty(n)&&(r+=l.hyphenate(n)+“:”this.style[n]“;”);r&&(e=!0,t+=‘ style=“’+l.escape®+‘”’);var a=l.escape(this.text);return e?(t+=“>”,t+=a,t+=“”):a},e}(),R=function(){function e(e,t){this.children=void 0,this.attributes=void 0,this.children=e||[],this.attributes=t||{}}var t=e.prototype;return t.toNode=function(){var e=document.createElementNS(“http://www.w3.org/2000/svg”,“svg”);for(var t in this.attributes)Object.prototype.hasOwnProperty.call(this.attributes,t)&&e.setAttribute(t,this.attributes[t]);for(var r=0;rt“=‘”this.attributes[t]“’”);e+=“>”;for(var r=0;rthis.alternate“‘/>”:“=5?0:e>=3?1:2]){var r=G[t]={cssEmPerMu:P.quad[t]/18};for(var n in P)P.hasOwnProperty(n)&&(r[n]=P[n][t])}return G[t]}(this.size)),this._fontMetrics},t.getColor=function(){return this.phantom?“transparent”:this.color},e}();Ie.BASESIZE=6;var Oe=Ie,Re={pt:1,mm:7227/2540,cm:7227/254,in:72.27,bp:1.00375,pc:12,dd:1238/1157,cc:14856/1157,nd:685/642,nc:1370/107,sp:1/65536,px:1.00375},Ee={ex:!0,em:!0,mu:!0},He=function(e){return“string”!=typeof e&&(e=e.unit),e in Re||e in Ee||“ex”===e},Le=function(e,t){var r;if(e.unit in Re)r=Re[e.unit]/t.fontMetrics().ptPerEm/t.sizeMultiplier;else if(“mu”===e.unit)r=t.fontMetrics().cssEmPerMu;else{var a;if(a=t.style.isTight()?t.havingStyle(t.style.text()):t,“ex”===e.unit)r=a.fontMetrics().xHeight;else{if(“em”!==e.unit)throw new n(“Invalid unit: ‘”e.unit“’”);r=a.fontMetrics().quad}a!==t&&(r*=a.sizeMultiplier/t.sizeMultiplier)}return Math.min(e.number*r,t.maxSize)},De=function(e,t,r){return X[r][e]&&X[r][e].replace&&(e=X[r][e].replace),{value:e,metrics:V(e,t,r)}},Pe=function(e,t,r,n,a){var i,o=De(e,t,r),s=o.metrics;if(e=o.value,s){var l=s.italic;(“text”===r||n&&“mathit”===n.font)&&(l=0),i=new O(e,s.height,s.depth,l,s.skew,s.width,a)}else“undefined”!=typeof console&&console.warn(“No character metrics for ‘”e“’ in style ‘”t“’ and mode ‘”r“’”),i=new O(e,0,0,0,0,0,a);if(n){i.maxFontSize=n.sizeMultiplier,n.style.isTight()&&i.classes.push(“mtight”);var h=n.getColor();h&&(i.style.color=h)}return i},Fe=function(e,t){if(z(e.classes)!==z(t.classes)||e.skew!==t.skew||e.maxFontSize!==t.maxFontSize)return!1;if(1===e.classes.length){var r=e.classes[0];if(“mbin”===r||“mord”===r)return!1}for(var n in e.style)if(e.style.hasOwnProperty(n)&&e.style[n]!==t.style[n])return!1;for(var a in t.style)if(t.style.hasOwnProperty(a)&&e.style[a]!==t.style[a])return!1;return!0},Ve=function(e){for(var t=0,r=0,n=0,a=0;at&&(t=i.height),i.depth>r&&(r=i.depth),i.maxFontSize>n&&(n=i.maxFontSize)}e.height=t,e.depth=r,e.maxFontSize=n},Ge=function(e,t,r,n){var a=new q(e,t,r,n);return Ve(a),a},Ue=function(e,t,r,n){return new q(e,t,r,n)},Ye=function(e){var t=new M(e);return Ve(t),t},We=function(e,t,r){var n=“”;switch(e){case“amsrm”:n=“AMS”;break;case“textrm”:n=“Main”;break;case“textsf”:n=“SansSerif”;break;case“texttt”:n=“Typewriter”;break;default:n=e}return n+“-”+(“textbf”===t&&“textit”===r?“BoldItalic”:“textbf”===t?“Bold”:“textit”===t?“Italic”:“Regular”)},Xe={mathbf:{variant:“bold”,fontName:“Main-Bold”},mathrm:{variant:“normal”,fontName:“Main-Regular”},textit:{variant:“italic”,fontName:“Main-Italic”},mathit:{variant:“italic”,fontName:“Main-Italic”},mathnormal:{variant:“italic”,fontName:“Math-Italic”},mathbb:{variant:“double-struck”,fontName:“AMS-Regular”},mathcal:{variant:“script”,fontName:“Caligraphic-Regular”},mathfrak:{variant:“fraktur”,fontName:“Fraktur-Regular”},mathscr:{variant:“script”,fontName:“Script-Regular”},mathsf:{variant:“sans-serif”,fontName:“SansSerif-Regular”},mathtt:{variant:“monospace”,fontName:“Typewriter-Regular”}},_e={vec:[“vec”,.471,.714],oiintSize1:[“oiintSize1”,.957,.499],oiintSize2:[“oiintSize2”,1.472,.659],oiiintSize1:[“oiiintSize1”,1.304,.499],oiiintSize2:[“oiiintSize2”,1.98,.659]},je={fontMap:Xe,makeSymbol:Pe,mathsym:function(e,t,r,n){return void 0===n&&(n=[]),“boldsymbol”===r.font&&De(e,“Main-Bold”,t).metrics?Pe(e,“Main-Bold”,t,r,n.concat([“mathbf”])):“\”===e||“main”===X[t][e].font?Pe(e,“Main-Regular”,t,r,n):Pe(e,“AMS-Regular”,t,r,n.concat([“amsrm”]))},makeSpan:Ge,makeSvgSpan:Ue,makeLineSpan:function(e,t,r){var n=Ge([e],[],t);return n.height=Math.max(r||t.fontMetrics().defaultRuleThickness,t.minRuleThickness),n.style.borderBottomWidth=n.height+“em”,n.maxFontSize=1,n},makeAnchor:function(e,t,r,n){var a=new N(e,t,r,n);return Ve(a),a},makeFragment:Ye,wrapFragment:function(e,t){return e instanceof M?Ge([],[e],t):e},makeVList:function(e,t){for(var r=function(e){if(“individualShift”===e.positionType){for(var t=e.children,r=[t[0]],n=-t[0].shift-t[0].elem.depth,a=n,i=1;ie.positionType“.”);l=-u.elem.depth}}return{children:e.children,depth:l}}(e),n=r.children,a=r.depth,i=0,o=0;or“ in makeOrd”)},makeGlue:function(e,t){var r=Ge([“mspace”],[],t),n=Le(e,t);return r.style.marginRight=n+“em”,r},staticSvg:function(e,t){var r=_e[e],n=r[0],a=r[1],i=r[2],o=new E(n),s=new R([o],{width:a+“em”,height:i+“em”,style:“width:”a“em”,viewBox:“0 0 ”+1e3*a+“ ”+1e3*i,preserveAspectRatio:“xMinYMin”}),l=Ue([“overlay”],[s],t);return l.height=i,l.style.height=i+“em”,l.style.width=a+“em”,l},svgData:_e,tryCombineChars:function(e){for(var t=0;te.type“‘”)};function yt(e,t){var r=st([“base”],e,t),n=st([“strut”]);return n.style.height=r.height+r.depth+“em”,n.style.verticalAlign=-r.depth+“em”,r.children.unshift(n),r}function xt(e,t){var r=null;1===e.length&&“tag”===e[0].type&&(r=e[0].tag,e=e[0].body);var n,a=ut(e,t,“root”);2===a.length&&a[1].hasClass(“tag”)&&(n=a.pop());for(var i,o=[],s=[],l=0;l0&&(o.push(yt(s,t)),s=[]),o.push(a[l]));s.length>0&&o.push(yt(s,t)),r?((i=yt(ut(r,t,!0))).classes=[“tag”],o.push(i)):n&&o.push(n);var m=st([“katex-html”],o);if(m.setAttribute(“aria-hidden”,“true”),i){var c=i.children[0];c.style.height=m.height+m.depth+“em”,c.style.verticalAlign=-m.depth+“em”}return m}function wt(e){return new M(e)}var kt=function(){function e(e,t,r){this.type=void 0,this.attributes=void 0,this.children=void 0,this.classes=void 0,this.type=e,this.attributes={},this.children=t||[],this.classes=r||[]}var t=e.prototype;return t.setAttribute=function(e,t){this.attributes[e]=t},t.getAttribute=function(e){return this.attributes[e]},t.toNode=function(){var e=document.createElementNS(“http://www.w3.org/1998/Math/MathML”,this.type);for(var t in this.attributes)Object.prototype.hasOwnProperty.call(this.attributes,t)&&e.setAttribute(t,this.attributes[t]);this.classes.length>0&&(e.className=z(this.classes));for(var r=0;rt’=“‘,e+=l.escape(this.attributes[t]),e+=’”‘);this.classes.length>0&&(e+=’ class =“‘+l.escape(z(this.classes))+’”‘),e+=“>”;for(var r=0;rthis.type“>”},t.toText=function(){return this.children.map((function(e){return e.toText()})).join(“”)},e}(),St=function(){function e(e){this.text=void 0,this.text=e}var t=e.prototype;return t.toNode=function(){return document.createTextNode(this.text)},t.toMarkup=function(){return l.escape(this.toText())},t.toText=function(){return this.text},e}(),Mt={MathNode:kt,TextNode:St,SpaceNode:function(){function e(e){this.width=void 0,this.character=void 0,this.width=e,this.character=e>=.05555&&e<=.05556?"\u200a":e>=.1666&&e<=.1667?"\u2009":e>=.2222&&e<=.2223?"\u2005":e>=.2777&&e<=.2778?"\u2005\u200a":e>=-.05556&&e<=-.05555?"\u200a\u2063":e>=-.1667&&e<=-.1666?"\u2009\u2063":e>=-.2223&&e<=-.2222?"\u205f\u2063":e>=-.2778&&e<=-.2777?"\u2005\u2063":null}var t=e.prototype;return t.toNode=function(){if(this.character)return document.createTextNode(this.character);var e=document.createElementNS("http://www.w3.org/1998/Math/MathML","mspace");return e.setAttribute("width",this.width+"em"),e},t.toMarkup=function(){return this.character?"this.character“:’0&&(p.text=p.text.slice(0,1)+“u0338”+p.text.slice(1),i.pop())}}}i.push(s),a=s}return i},qt=function(e,t,r){return At(Bt(e,t,r))},Nt=function(e,t){if(!e)return new Mt.MathNode(“mrow”);if(rt[e.type])return rt[e.type](e,t);throw new n(“Got group of unknown type: ’”e.type“‘”)};function Ct(e,t,r,n,a){var i,o=Bt(e,r);i=1===o.length&&o[0]instanceof kt&&l.contains([“mrow”,“mtable”],o[0].type)?o[0]:new Mt.MathNode(“mrow”,o);var s=new Mt.MathNode(“annotation”,[new Mt.TextNode(t)]);s.setAttribute(“encoding”,“application/x-tex”);var h=new Mt.MathNode(“semantics”,[i,s]),m=new Mt.MathNode(“math”,[h]);m.setAttribute(“xmlns”,“http://www.w3.org/1998/Math/MathML”),n&&m.setAttribute(“display”,“block”);var c=a?“katex”:“katex-mathml”;return je.makeSpan([c],[m])}var It=function(e){return new Oe({style:e.displayMode?b.DISPLAY:b.TEXT,maxSize:e.maxSize,minRuleThickness:e.minRuleThickness})},Ot=function(e,t){if(t.displayMode){var r=[“katex-display”];t.leqno&&r.push(“leqno”),t.fleqn&&r.push(“fleqn”),e=je.makeSpan(r,[e])}return e},Rt=function(e,t,r){var n,a=It®;if(“mathml”===r.output)return Ct(e,t,a,r.displayMode,!0);if(“html”===r.output){var i=xt(e,a);n=je.makeSpan([“katex”],[i])}else{var o=Ct(e,t,a,r.displayMode,!1),s=xt(e,a);n=je.makeSpan([“katex”],[o,s])}return Ot(n,r)},Et={widehat:“^”,widecheck:“u02c7”,widetilde:“~”,utilde:“~”,overleftarrow:“u2190”,underleftarrow:“u2190”,xleftarrow:“u2190”,overrightarrow:“u2192”,underrightarrow:“u2192”,xrightarrow:“u2192”,underbrace:“u23df”,overbrace:“u23de”,overgroup:“u23e0”,undergroup:“u23e1”,overleftrightarrow:“u2194”,underleftrightarrow:“u2194”,xleftrightarrow:“u2194”,Overrightarrow:“u21d2”,xRightarrow:“u21d2”,overleftharpoon:“u21bc”,xleftharpoonup:“u21bc”,overrightharpoon:“u21c0”,xrightharpoonup:“u21c0”,xLeftarrow:“u21d0”,xLeftrightarrow:“u21d4”,xhookleftarrow:“u21a9”,xhookrightarrow:“u21aa”,xmapsto:“u21a6”,xrightharpoondown:“u21c1”,xleftharpoondown:“u21bd”,xrightleftharpoons:“u21cc”,xleftrightharpoons:“u21cb”,xtwoheadleftarrow:“u219e”,xtwoheadrightarrow:“u21a0”,xlongequal:“=”,xtofrom:“u21c4”,xrightleftarrows:“u21c4”,xrightequilibrium:“u21cc”,xleftequilibrium:“u21cb”,“\\cdrightarrow”:“u2192”,“\\cdleftarrow”:“u2190”,“\\cdlongequal”:“=”},Ht={overrightarrow:[[“rightarrow”],.888,522,“xMaxYMin”],overleftarrow:[[“leftarrow”],.888,522,“xMinYMin”],underrightarrow:[[“rightarrow”],.888,522,“xMaxYMin”],underleftarrow:[[“leftarrow”],.888,522,“xMinYMin”],xrightarrow:[[“rightarrow”],1.469,522,“xMaxYMin”],“\cdrightarrow”:[[“rightarrow”],3,522,“xMaxYMin”],xleftarrow:[[“leftarrow”],1.469,522,“xMinYMin”],“\cdleftarrow”:[[“leftarrow”],3,522,“xMinYMin”],Overrightarrow:[[“doublerightarrow”],.888,560,“xMaxYMin”],xRightarrow:[[“doublerightarrow”],1.526,560,“xMaxYMin”],xLeftarrow:[[“doubleleftarrow”],1.526,560,“xMinYMin”],overleftharpoon:[[“leftharpoon”],.888,522,“xMinYMin”],xleftharpoonup:[[“leftharpoon”],.888,522,“xMinYMin”],xleftharpoondown:[[“leftharpoondown”],.888,522,“xMinYMin”],overrightharpoon:[[“rightharpoon”],.888,522,“xMaxYMin”],xrightharpoonup:[[“rightharpoon”],.888,522,“xMaxYMin”],xrightharpoondown:[[“rightharpoondown”],.888,522,“xMaxYMin”],xlongequal:[[“longequal”],.888,334,“xMinYMin”],“\cdlongequal”:[[“longequal”],3,334,“xMinYMin”],xtwoheadleftarrow:[[“twoheadleftarrow”],.888,334,“xMinYMin”],xtwoheadrightarrow:[[“twoheadrightarrow”],.888,334,“xMaxYMin”],overleftrightarrow:[[“leftarrow”,“rightarrow”],.888,522],overbrace:[[“leftbrace”,“midbrace”,“rightbrace”],1.6,548],underbrace:[[“leftbraceunder”,“midbraceunder”,“rightbraceunder”],1.6,548],underleftrightarrow:[[“leftarrow”,“rightarrow”],.888,522],xleftrightarrow:[[“leftarrow”,“rightarrow”],1.75,522],xLeftrightarrow:[[“doubleleftarrow”,“doublerightarrow”],1.75,560],xrightleftharpoons:[[“leftharpoondownplus”,“rightharpoonplus”],1.75,716],xleftrightharpoons:[[“leftharpoonplus”,“rightharpoondownplus”],1.75,716],xhookleftarrow:[[“leftarrow”,“righthook”],1.08,522],xhookrightarrow:[[“lefthook”,“rightarrow”],1.08,522],overlinesegment:[[“leftlinesegment”,“rightlinesegment”],.888,522],underlinesegment:[[“leftlinesegment”,“rightlinesegment”],.888,522],overgroup:[[“leftgroup”,“rightgroup”],.888,342],undergroup:[[“leftgroupunder”,“rightgroupunder”],.888,342],xmapsto:[[“leftmapsto”,“rightarrow”],1.5,522],xtofrom:[[“leftToFrom”,“rightToFrom”],1.75,528],xrightleftarrows:[[“baraboveleftarrow”,“rightarrowabovebar”],1.75,901],xrightequilibrium:[[“baraboveshortleftharpoon”,“rightharpoonaboveshortbar”],1.75,716],xleftequilibrium:[[“shortbaraboveleftharpoon”,“shortrightharpoonabovebar”],1.75,716]},Lt=function(e,t,r,n,a){var i,o=e.height+e.depth+r+n;if(/fbox|color|angl/.test(t)){if(i=je.makeSpan([“stretchy”,t],[],a),“fbox”===t){var s=a.color&&a.getColor();s&&(i.style.borderColor=s)}}else{var l=[];/^[bx]cancel$/.test(t)&&l.push(new H({x1:“0”,y1:“0”,x2:“100%”,y2:“100%”,“stroke-width”:“0.046em”})),/^x?cancel$/.test(t)&&l.push(new H({x1:“0”,y1:“100%”,x2:“100%”,y2:“0”,“stroke-width”:“0.046em”}));var h=new R(l,{width:“100%”,height:o+“em”});i=je.makeSvgSpan([],[h],a)}return i.height=o,i.style.height=o+“em”,i},Dt=function(e){var t=new Mt.MathNode(“mo”,[new Mt.TextNode(Et[e])]);return t.setAttribute(“stretchy”,“true”),t},Pt=function(e,t){var r=function(){var r=4e5,n=e.label.substr(1);if(l.contains([“widehat”,“widecheck”,“widetilde”,“utilde”],n)){var a,i,o,s=“ordgroup”===(d=e.base).type?d.body.length:1;if(s>5)“widehat”===n||“widecheck”===n?(a=420,r=2364,o=.42,i=n+“4”):(a=312,r=2340,o=.34,i=“tilde4”);else{var h=[1,1,2,2,3,3][s];“widehat”===n||“widecheck”===n?(r=[0,1062,2364,2364,2364][h],a=[0,239,300,360,420][h],o=[0,.24,.3,.3,.36,.42][h],i=n+h):(r=[0,600,1033,2339,2340][h],a=[0,260,286,306,312][h],o=[0,.26,.286,.3,.306,.34][h],i=“tilde”+h)}var m=new E(i),c=new R([m],{width:“100%”,height:o+“em”,viewBox:“0 0 ”r“ ”+a,preserveAspectRatio:“none”});return{span:je.makeSvgSpan([],[c],t),minWidth:0,height:o}}var u,p,d,f=[],g=Ht[n],v=g[0],b=g[1],y=g[2],x=y/1e3,w=v.length;if(1===w)u=[“hide-tail”],p=[g[3]];else if(2===w)u=[“halfarrow-left”,“halfarrow-right”],p=[“xMinYMin”,“xMaxYMin”];else{if(3!==w)throw new Error(“Correct katexImagesData or update code here to supportn ”w“ children.”);u=[“brace-left”,“brace-center”,“brace-right”],p=[“xMinYMin”,“xMidYMin”,“xMaxYMin”]}for(var k=0;kr“ ”+y,preserveAspectRatio:p[k]+“ slice”}),z=je.makeSvgSpan([u[k]],[M],t);if(1===w)return{span:z,minWidth:b,height:x};z.style.height=x+“em”,f.push(z)}return{span:je.makeSpan([“stretchy”],f,t),minWidth:b,height:x}}(),n=r.span,a=r.minWidth,i=r.height;return n.height=i,n.style.height=i+“em”,a>0&&(n.style.minWidth=a+“em”),n};function Ft(e,t){if(!e||e.type!==t)throw new Error(“Expected node of type ”t“, but got ”+(e?“node of type ”+e.type:String(e)));return e}function Vt(e){var t=Gt(e);if(!t)throw new Error(“Expected node of symbol group type, but got ”+(e?“node of type ”+e.type:String(e)));return t}function Gt(e){return e&&(“atom”===e.type||Y.hasOwnProperty(e.type))?e:null}var Ut=function(e,t){var r,n,a;e&&“supsub”===e.type?(r=(n=Ft(e.base,“accent”)).base,e.base=r,a=function(e){if(e instanceof q)return e;throw new Error(“Expected span but got ”+String(e)+“.”)}(bt(e,t)),e.base=n):r=(n=Ft(e,“accent”)).base;var i=bt(r,t.havingCrampedStyle()),o=0;if(n.isShifty&&l.isCharacterBox®){var s=l.getBaseElem®;o=L(bt(s,t.havingCrampedStyle())).skew}var h,m=Math.min(i.height,t.fontMetrics().xHeight);if(n.isStretchy)h=Pt(n,t),h=je.makeVList({positionType:“firstBaseline”,children:[{type:“elem”,elem:i},{type:“elem”,elem:h,wrapperClasses:[“svg-align”],wrapperStyle:o>0?{width:“calc(100% - ”+2*o+“em)”,marginLeft:2*o+“em”}:void 0}]},t);else{var c,u;“\vec”===n.label?(c=je.staticSvg(“vec”,t),u=je.svgData.vec[1]):((c=L(c=je.makeOrd({mode:n.mode,text:n.label},t,“textord”))).italic=0,u=c.width),h=je.makeSpan([“accent-body”],[c]);var p=“\textcircled”===n.label;p&&(h.classes.push(“accent-full”),m=i.height);var d=o;p||(d-=u/2),h.style.left=d+“em”,“\textcircled”===n.label&&(h.style.top=“.2em”),h=je.makeVList({positionType:“firstBaseline”,children:[{type:“elem”,elem:i},{type:“kern”,size:-m},{type:“elem”,elem:h}]},t)}var f=je.makeSpan([“mord”,“accent”],[h],t);return a?(a.children[0]=f,a.height=Math.max(f.height,a.height),a.classes[0]=“mord”,a):f},Yt=function(e,t){var r=e.isStretchy?Dt(e.label):new Mt.MathNode(“mo”,[zt(e.label,e.mode)]),n=new Mt.MathNode(“mover”,[Nt(e.base,t),r]);return n.setAttribute(“accent”,“true”),n},Wt=new RegExp([“\acute”,“\grave”,“\ddot”,“\tilde”,“\bar”,“\breve”,“\check”,“\hat”,“\vec”,“\dot”,“\mathring”].map((function(e){return“\”+e})).join(“|”));nt({type:“accent”,names:[“\acute”,“\grave”,“\ddot”,“\tilde”,“\bar”,“\breve”,“\check”,“\hat”,“\vec”,“\dot”,“\mathring”,“\widecheck”,“\widehat”,“\widetilde”,“\overrightarrow”,“\overleftarrow”,“\Overrightarrow”,“\overleftrightarrow”,“\overgroup”,“\overlinesegment”,“\overleftharpoon”,“\overrightharpoon”],props:{numArgs:1},handler:function(e,t){var r=it(t[0]),n=!Wt.test(e.funcName),a=!n||“\widehat”===e.funcName||“\widetilde”===e.funcName||“\widecheck”===e.funcName;return{type:“accent”,mode:e.parser.mode,label:e.funcName,isStretchy:n,isShifty:a,base:r}},htmlBuilder:Ut,mathmlBuilder:Yt}),nt({type:“accent”,names:[“\’”,“\`”,“\^”,“\~”,“\=”,“\u”,“\.”,‘\“’,”\r“,”\H“,”\v“,”\textcircled“],props:{numArgs:1,allowedInText:!0,allowedInMath:!1,argTypes:[”primitive“]},handler:function(e,t){var r=t[0];return{type:”accent“,mode:e.parser.mode,label:e.funcName,isStretchy:!1,isShifty:!0,base:r}},htmlBuilder:Ut,mathmlBuilder:Yt}),nt({type:”accentUnder“,names:[”\underleftarrow“,”\underrightarrow“,”\underleftrightarrow“,”\undergroup“,”\underlinesegment“,”\utilde“],props:{numArgs:1},handler:function(e,t){var r=e.parser,n=e.funcName,a=t[0];return{type:”accentUnder“,mode:r.mode,label:n,base:a}},htmlBuilder:function(e,t){var r=bt(e.base,t),n=Pt(e,t),a=”\utilde“===e.label?.12:0,i=je.makeVList({positionType:”top“,positionData:r.height,children:[{type:”elem“,elem:n,wrapperClasses:[”svg-align“]},{type:”kern“,size:a},{type:”elem“,elem:r}]},t);return je.makeSpan([”mord“,”accentunder“],[i],t)},mathmlBuilder:function(e,t){var r=Dt(e.label),n=new Mt.MathNode(”munder“,[Nt(e.base,t),r]);return n.setAttribute(”accentunder“,”true“),n}});var Xt=function(e){var t=new Mt.MathNode(”mpadded“,e?[e]:[]);return t.setAttribute(”width“,”+0.6em“),t.setAttribute(”lspace“,”0.3em“),t};nt({type:”xArrow“,names:[”\xleftarrow“,”\xrightarrow“,”\xLeftarrow“,”\xRightarrow“,”\xleftrightarrow“,”\xLeftrightarrow“,”\xhookleftarrow“,”\xhookrightarrow“,”\xmapsto“,”\xrightharpoondown“,”\xrightharpoonup“,”\xleftharpoondown“,”\xleftharpoonup“,”\xrightleftharpoons“,”\xleftrightharpoons“,”\xlongequal“,”\xtwoheadrightarrow“,”\xtwoheadleftarrow“,”\xtofrom“,”\xrightleftarrows“,”\xrightequilibrium“,”\xleftequilibrium“,”\\cdrightarrow“,”\\cdleftarrow“,”\\cdlongequal“],props:{numArgs:1,numOptionalArgs:1},handler:function(e,t,r){var n=e.parser,a=e.funcName;return{type:”xArrow“,mode:n.mode,label:a,body:t[0],below:r[0]}},htmlBuilder:function(e,t){var r,n=t.style,a=t.havingStyle(n.sup()),i=je.wrapFragment(bt(e.body,a,t),t),o=”\x“===e.label.slice(0,2)?”x“:”cd“;i.classes.push(o+”-arrow-pad“),e.below&&(a=t.havingStyle(n.sub()),(r=je.wrapFragment(bt(e.below,a,t),t)).classes.push(o+”-arrow-pad“));var s,l=Pt(e,t),h=-t.fontMetrics().axisHeight+.5*l.height,m=-t.fontMetrics().axisHeight-.5*l.height-.111;if((i.depth>.25||”\xleftequilibrium“===e.label)&&(m-=i.depth),r){var c=-t.fontMetrics().axisHeight+r.height+.5*l.height+.111;s=je.makeVList({positionType:”individualShift“,children:[{type:”elem“,elem:i,shift:m},{type:”elem“,elem:l,shift:h},{type:”elem“,elem:r,shift:c}]},t)}else s=je.makeVList({positionType:”individualShift“,children:[{type:”elem“,elem:i,shift:m},{type:”elem“,elem:l,shift:h}]},t);return s.children[0].children[0].children[1].classes.push(”svg-align“),je.makeSpan([”mrel“,”x-arrow“],[s],t)},mathmlBuilder:function(e,t){var r,n=Dt(e.label);if(n.setAttribute(”minsize“,”x“===e.label.charAt(0)?”1.75em“:”3.0em“),e.body){var a=Xt(Nt(e.body,t));if(e.below){var i=Xt(Nt(e.below,t));r=new Mt.MathNode(”munderover“,[n,i,a])}else r=new Mt.MathNode(”mover“,[n,a])}else if(e.below){var o=Xt(Nt(e.below,t));r=new Mt.MathNode(”munder“,[n,o])}else r=Xt(),r=new Mt.MathNode(”mover“,[n,r]);return r}});var _t={”>“:”\\cdrightarrow“,”<":"\\\\cdleftarrow","=":"\\\\cdlongequal",A:"\\uparrow",V:"\\downarrow","|":"\\Vert",".":"no arrow"},jt=function(e){return"textord"===e.type&&"@"===e.text};function $t(e,t,r){var n=_t[e];switch(n){case"\\\\cdrightarrow":case"\\\\cdleftarrow":return r.callFunction(n,[t[0]],[t[1]]);case"\\uparrow":case"\\downarrow":var a={type:"atom",text:n,mode:"math",family:"rel"},i={type:"ordgroup",mode:"math",body:[r.callFunction("\\\\cdleft",[t[0]],[]),r.callFunction("\\Big",[a],[]),r.callFunction("\\\\cdright",[t[1]],[])]};return r.callFunction("\\\\cdparent",[i],[]);case"\\\\cdlongequal":return r.callFunction("\\\\cdlongequal",[],[]);case"\\Vert":return r.callFunction("\\Big",[{type:"textord",text:"\\Vert",mode:"math"}],[]);default:return{type:"textord",text:" ",mode:"math"}}}nt({type:"cdlabel",names:["\\\\cdleft","\\\\cdright"],props:{numArgs:1},handler:function(e,t){var r=e.parser,n=e.funcName;return{type:"cdlabel",mode:r.mode,side:n.slice(4),label:t[0]}},htmlBuilder:function(e,t){var r=t.havingStyle(t.style.sup()),n=je.wrapFragment(bt(e.label,r,t),t);return n.classes.push("cd-label-"+e.side),n.style.bottom=.8-n.depth+"em",n.height=0,n.depth=0,n},mathmlBuilder:function(e,t){var r=new Mt.MathNode("mrow",[Nt(e.label,t)]);return(r=new Mt.MathNode("mpadded",[r])).setAttribute("width","0"),"left"===e.side&&r.setAttribute("lspace","-1width"),r.setAttribute("voffset","0.7em"),(r=new Mt.MathNode("mstyle",[r])).setAttribute("displaystyle","false"),r.setAttribute("scriptlevel","1"),r}}),nt({type:"cdlabelparent",names:["\\\\cdparent"],props:{numArgs:1},handler:function(e,t){return{type:"cdlabelparent",mode:e.parser.mode,fragment:t[0]}},htmlBuilder:function(e,t){var r=je.wrapFragment(bt(e.fragment,t),t);return r.classes.push("cd-vert-arrow"),r},mathmlBuilder:function(e,t){return new Mt.MathNode("mrow",[Nt(e.fragment,t)])}}),nt({type:"textord",names:["\\@char"],props:{numArgs:1,allowedInText:!0},handler:function(e,t){for(var r=e.parser,a=Ft(t[0],"ordgroup").body,i="",o=0;oa.text’“‘);if(parseInt(a.text)!==s+1)throw new n(’Argument number ”‘a.text’“ out of order’);s++,l.push([])}else{if(”EOF“===a.text)throw new n(”Expected a macro definition“);l[s].push(a.text)}var h=t.gullet.consumeArg().tokens;return o&&h.unshift(o),”\edef“!==r&&”\xdef“!==r||(h=t.gullet.expandTokens(h)).reverse(),t.gullet.macros.set(i,{tokens:h,numArgs:s,delimiters:l},r===Jt[r]),{type:”internal“,mode:t.mode}}}),nt({type:”internal“,names:[”\let“,”\\globallet“],props:{numArgs:0,allowedInText:!0,primitive:!0},handler:function(e){var t=e.parser,r=e.funcName,n=Qt(t.gullet.popToken());t.gullet.consumeSpaces();var a=function(e){var t=e.gullet.popToken();return”=“===t.text&&” “===(t=e.gullet.popToken()).text&&(t=e.gullet.popToken()),t}(t);return er(t,n,a,”\\globallet“===r),{type:”internal“,mode:t.mode}}}),nt({type:”internal“,names:[”\futurelet“,”\\globalfuture“],props:{numArgs:0,allowedInText:!0,primitive:!0},handler:function(e){var t=e.parser,r=e.funcName,n=Qt(t.gullet.popToken()),a=t.gullet.popToken(),i=t.gullet.popToken();return er(t,n,i,”\\globalfuture“===r),t.gullet.pushToken(i),t.gullet.pushToken(a),{type:”internal“,mode:t.mode}}});var tr=function(e,t,r){var n=V(X.math[e]&&X.math[e].replace||e,t,r);if(!n)throw new Error(”Unsupported symbol “e” and font size “t”.“);return n},rr=function(e,t,r,n){var a=r.havingBaseStyle(t),i=je.makeSpan(n.concat(a.sizingClasses®),[e],r),o=a.sizeMultiplier/r.sizeMultiplier;return i.height*=o,i.depth*=o,i.maxFontSize=a.sizeMultiplier,i},nr=function(e,t,r){var n=t.havingBaseStyle®,a=(1-t.sizeMultiplier/n.sizeMultiplier)*t.fontMetrics().axisHeight;e.classes.push(”delimcenter“),e.style.top=a+”em“,e.height-=a,e.depth+=a},ar=function(e,t,r,n,a,i){var o=function(e,t,r,n){return je.makeSymbol(e,”Size“t”-Regular“,r,n)}(e,t,a,n),s=rr(je.makeSpan([”delimsizing“,”size“+t],[o],n),b.TEXT,n,i);return r&&nr(s,n,b.TEXT),s},ir=function(e,t,r){var n;return n=”Size1-Regular“===t?”delim-size1“:”delim-size4“,{type:”elem“,elem:je.makeSpan([”delimsizinginner“,n],[je.makeSpan([],[je.makeSymbol(e,t,r)])])}},or=function(e,t,r){var n=D[”Size4-Regular“][e.charCodeAt(0)]?D[”Size4-Regular“][e.charCodeAt(0)][4].toFixed(3):D[”Size1-Regular“][e.charCodeAt(0)][4].toFixed(3),a=new E(”inner“,function(e,t){switch(e){case”u239c“:return”M291 0 H417 V“t” H291z M291 0 H417 V“t” H291z“;case”u2223“:return”M145 0 H188 V“t” H145z M145 0 H188 V“t” H145z“;case”u2225“:return”M145 0 H188 V“t” H145z M145 0 H188 V“t” H145zM367 0 H410 V“t” H367z M367 0 H410 V“t” H367z“;case”u239f“:return”M457 0 H583 V“t” H457z M457 0 H583 V“t” H457z“;case”u23a2“:return”M319 0 H403 V“t” H319z M319 0 H403 V“t” H319z“;case”u23a5“:return”M263 0 H347 V“t” H263z M263 0 H347 V“t” H263z“;case”u23aa“:return”M384 0 H504 V“t” H384z M384 0 H504 V“t” H384z“;case”u23d0“:return”M312 0 H355 V“t” H312z M312 0 H355 V“t” H312z“;case”u2016“:return”M257 0 H300 V“t” H257z M257 0 H300 V“t” H257zM478 0 H521 V“t” H478z M478 0 H521 V“t” H478z“;default:return”“}}(e,Math.round(1e3*t))),i=new R([a],{width:n+”em“,height:t+”em“,style:”width:“n”em“,viewBox:”0 0 “+1e3*n+” “+Math.round(1e3*t),preserveAspectRatio:”xMinYMin“}),o=je.makeSvgSpan([],[i],r);return o.height=t,o.style.height=t+”em“,o.style.width=n+”em“,{type:”elem“,elem:o}},sr={type:”kern“,size:-.008},lr=[”|“,”\lvert“,”\rvert“,”\vert“],hr=[”\|“,”\lVert“,”\rVert“,”\Vert“],mr=function(e,t,r,n,a,i){var o,s,h,m;o=h=m=e,s=null;var c=”Size1-Regular“;”\uparrow“===e?h=m=”u23d0“:”\Uparrow“===e?h=m=”u2016“:”\downarrow“===e?o=h=”u23d0“:”\Downarrow“===e?o=h=”u2016“:”\updownarrow“===e?(o=”\uparrow“,h=”u23d0“,m=”\downarrow“):”\Updownarrow“===e?(o=”\Uparrow“,h=”u2016“,m=”\Downarrow“):l.contains(lr,e)?h=”u2223“:l.contains(hr,e)?h=”u2225“:”[“===e||”\lbrack“===e?(o=”u23a1“,h=”u23a2“,m=”u23a3“,c=”Size4-Regular“):”]“===e||”\rbrack“===e?(o=”u23a4“,h=”u23a5“,m=”u23a6“,c=”Size4-Regular“):”\lfloor“===e||”u230a“===e?(h=o=”u23a2“,m=”u23a3“,c=”Size4-Regular“):”\lceil“===e||”u2308“===e?(o=”u23a1“,h=m=”u23a2“,c=”Size4-Regular“):”\rfloor“===e||”u230b“===e?(h=o=”u23a5“,m=”u23a6“,c=”Size4-Regular“):”\rceil“===e||”u2309“===e?(o=”u23a4“,h=m=”u23a5“,c=”Size4-Regular“):”(“===e||”\lparen“===e?(o=”u239b“,h=”u239c“,m=”u239d“,c=”Size4-Regular“):”)“===e||”\rparen“===e?(o=”u239e“,h=”u239f“,m=”u23a0“,c=”Size4-Regular“):”\{“===e||”\lbrace“===e?(o=”u23a7“,s=”u23a8“,m=”u23a9“,h=”u23aa“,c=”Size4-Regular“):”\}“===e||”\rbrace“===e?(o=”u23ab“,s=”u23ac“,m=”u23ad“,h=”u23aa“,c=”Size4-Regular“):”\lgroup“===e||”u27ee“===e?(o=”u23a7“,m=”u23a9“,h=”u23aa“,c=”Size4-Regular“):”\rgroup“===e||”u27ef“===e?(o=”u23ab“,m=”u23ad“,h=”u23aa“,c=”Size4-Regular“):”\lmoustache“===e||”u23b0“===e?(o=”u23a7“,m=”u23ad“,h=”u23aa“,c=”Size4-Regular“):”\rmoustache“!==e&&”u23b1“!==e||(o=”u23ab“,m=”u23a9“,h=”u23aa“,c=”Size4-Regular“);var u=tr(o,c,a),p=u.height+u.depth,d=tr(h,c,a),f=d.height+d.depth,g=tr(m,c,a),v=g.height+g.depth,y=0,x=1;if(null!==s){var w=tr(s,c,a);y=w.height+w.depth,x=2}var k=p+v+y,S=k+Math.max(0,Math.ceil((t-k)/(x*f)))*x*f,M=n.fontMetrics().axisHeight;r&&(M*=n.sizeMultiplier);var z=S/2-M,A=[];if(A.push(ir(m,c,a)),A.push(sr),null===s){var T=S-p-v+.016;A.push(or(h,T,n))}else{var B=(S-p-v-y)/2+.016;A.push(or(h,B,n)),A.push(sr),A.push(ir(s,c,a)),A.push(sr),A.push(or(h,B,n))}A.push(sr),A.push(ir(o,c,a));var q=n.havingBaseStyle(b.TEXT),N=je.makeVList({positionType:”bottom“,positionData:z,children:A},q);return rr(je.makeSpan([”delimsizing“,”mult“],[N],q),b.TEXT,n,i)},cr=.08,ur=function(e,t,r,n,a){var i=function(e,t,r){t*=1e3;var n=”“;switch(e){case”sqrtMain“:n=function(e,t){return”M95,“+(622+e+t)+”nc-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14nc0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54nc44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10ns173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429nc69,-144,104.5,-217.7,106.5,-221nl“e/2.075” -“e”nc5.3,-9.3,12,-14,20,-14nH400000v“+(40+e)+”H845.2724ns-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7nc-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47znM“+(834+e)+” “t”h400000v“+(40+e)+”h-400000z“}(t,k);break;case”sqrtSize1“:n=function(e,t){return”M263,“+(601+e+t)+”c0.7,0,18,39.7,52,119nc34,79.3,68.167,158.7,102.5,238c34.3,79.3,51.8,119.3,52.5,120nc340,-704.7,510.7,-1060.3,512,-1067nl“e/2.084” -“e”nc4.7,-7.3,11,-11,19,-11nH40000v“+(40+e)+”H1012.3ns-271.3,567,-271.3,567c-38.7,80.7,-84,175,-136,283c-52,108,-89.167,185.3,-111.5,232nc-22.3,46.7,-33.8,70.3,-34.5,71c-4.7,4.7,-12.3,7,-23,7s-12,-1,-12,-1ns-109,-253,-109,-253c-72.7,-168,-109.3,-252,-110,-252c-10.7,8,-22,16.7,-34,26nc-22,17.3,-33.3,26,-34,26s-26,-26,-26,-26s76,-59,76,-59s76,-60,76,-60znM“+(1001+e)+” “t”h400000v“+(40+e)+”h-400000z“}(t,k);break;case”sqrtSize2“:n=function(e,t){return”M983 “+(10+e+t)+”nl“e/3.13” -“e”nc4,-6.7,10,-10,18,-10 H400000v“+(40+e)+”nH1013.1s-83.4,268,-264.1,840c-180.7,572,-277,876.3,-289,913c-4.7,4.7,-12.7,7,-24,7ns-12,0,-12,0c-1.3,-3.3,-3.7,-11.7,-7,-25c-35.3,-125.3,-106.7,-373.3,-214,-744nc-10,12,-21,25,-33,39s-32,39,-32,39c-6,-5.3,-15,-14,-27,-26s25,-30,25,-30nc26.7,-32.7,52,-63,76,-91s52,-60,52,-60s208,722,208,722nc56,-175.3,126.3,-397.3,211,-666c84.7,-268.7,153.8,-488.2,207.5,-658.5nc53.7,-170.3,84.5,-266.8,92.5,-289.5znM“+(1001+e)+” “t”h400000v“+(40+e)+”h-400000z“}(t,k);break;case”sqrtSize3“:n=function(e,t){return”M424,“+(2398+e+t)+”nc-1.3,-0.7,-38.5,-172,-111.5,-514c-73,-342,-109.8,-513.3,-110.5,-514nc0,-2,-10.7,14.3,-32,49c-4.7,7.3,-9.8,15.7,-15.5,25c-5.7,9.3,-9.8,16,-12.5,20ns-5,7,-5,7c-4,-3.3,-8.3,-7.7,-13,-13s-13,-13,-13,-13s76,-122,76,-122s77,-121,77,-121ns209,968,209,968c0,-2,84.7,-361.7,254,-1079c169.3,-717.3,254.7,-1077.7,256,-1081nl“e/4.223” -“e”c4,-6.7,10,-10,18,-10 H400000nv“+(40+e)+”H1014.6ns-87.3,378.7,-272.6,1166c-185.3,787.3,-279.3,1182.3,-282,1185nc-2,6,-10,9,-24,9nc-8,0,-12,-0.7,-12,-2z M“+(1001+e)+” “t”nh400000v“+(40+e)+”h-400000z“}(t,k);break;case”sqrtSize4“:n=function(e,t){return”M473,“+(2713+e+t)+”nc339.3,-1799.3,509.3,-2700,510,-2702 l“e/5.298” -“e”nc3.3,-7.3,9.3,-11,18,-11 H400000v“+(40+e)+”H1017.7ns-90.5,478,-276.2,1466c-185.7,988,-279.5,1483,-281.5,1485c-2,6,-10,9,-24,9nc-8,0,-12,-0.7,-12,-2c0,-1.3,-5.3,-32,-16,-92c-50.7,-293.3,-119.7,-693.3,-207,-1200nc0,-1.3,-5.3,8.7,-16,30c-10.7,21.3,-21.3,42.7,-32,64s-16,33,-16,33s-26,-26,-26,-26ns76,-153,76,-153s77,-151,77,-151c0.7,0.7,35.7,202,105,604c67.3,400.7,102,602.7,104,n606zM“+(1001+e)+” “t”h400000v“+(40+e)+”H1017.7z“}(t,k);break;case”sqrtTall“:n=function(e,t,r){return”M702 “+(e+t)+”H400000“+(40+e)+”nH742v“+(r-54-t-e)+”l-4 4-4 4c-.667.7 -2 1.5-4 2.5s-4.167 1.833-6.5 2.5-5.5 1-9.5 1nh-12l-28-84c-16.667-52-96.667 -294.333-240-727l-212 -643 -85 170nc-4-3.333-8.333-7.667-13 -13l-13-13l77-155 77-156c66 199.333 139 419.667n219 661 l218 661zM702 “t”H400000v“+(40+e)+”H742z“}(t,k,r)}return n}(e,n,r),o=new E(e,i),s=new R([o],{width:”400em“,height:t+”em“,viewBox:”0 0 400000 “+r,preserveAspectRatio:”xMinYMin slice“});return je.makeSvgSpan([”hide-tail“],[s],a)},pr=[”(“,”\lparen“,”)“,”\rparen“,”[“,”\lbrack“,”]“,”\rbrack“,”\{“,”\lbrace“,”\}“,”\rbrace“,”\lfloor“,”\rfloor“,”u230a“,”u230b“,”\lceil“,”\rceil“,”u2308“,”u2309“,”\surd“],dr=[”\uparrow“,”\downarrow“,”\updownarrow“,”\Uparrow“,”\Downarrow“,”\Updownarrow“,”|“,”\|“,”\vert“,”\Vert“,”\lvert“,”\rvert“,”\lVert“,”\rVert“,”\lgroup“,”\rgroup“,”u27ee“,”u27ef“,”\lmoustache“,”\rmoustache“,”u23b0“,”u23b1“],fr=[”<",">“,”\langle“,”\rangle“,”/“,”\backslash“,”\lt“,”\gt“],gr=[0,1.2,1.8,2.4,3],vr=[{type:”small“,style:b.SCRIPTSCRIPT},{type:”small“,style:b.SCRIPT},{type:”small“,style:b.TEXT},{type:”large“,size:1},{type:”large“,size:2},{type:”large“,size:3},{type:”large“,size:4}],br=[{type:”small“,style:b.SCRIPTSCRIPT},{type:”small“,style:b.SCRIPT},{type:”small“,style:b.TEXT},{type:”stack“}],yr=[{type:”small“,style:b.SCRIPTSCRIPT},{type:”small“,style:b.SCRIPT},{type:”small“,style:b.TEXT},{type:”large“,size:1},{type:”large“,size:2},{type:”large“,size:3},{type:”large“,size:4},{type:”stack“}],xr=function(e){if(”small“===e.type)return”Main-Regular“;if(”large“===e.type)return”Size“e.size”-Regular“;if(”stack“===e.type)return”Size4-Regular“;throw new Error(”Add support for delim type ‘“e.type”’ here.“)},wr=function(e,t,r,n){for(var a=Math.min(2,3-n.style.size);at)return r[a]}return r[r.length-1]},kr=function(e,t,r,n,a,i){var o;”<"===e||"\\lt"===e||"\u27e8"===e?e="\\langle":">“!==e&&”\gt“!==e&&”u27e9“!==e||(e=”\rangle“),o=l.contains(fr,e)?vr:l.contains(pr,e)?yr:br;var s=wr(e,t,o,n);return”small“===s.type?function(e,t,r,n,a,i){var o=je.makeSymbol(e,”Main-Regular“,a,n),s=rr(o,t,n,i);return r&&nr(s,n,t),s}(e,s.style,r,n,a,i):”large“===s.type?ar(e,s.size,r,n,a,i):mr(e,t,r,n,a,i)},Sr=function(e,t){var r,n,a=t.havingBaseSizing(),i=wr(”\surd“,e*a.sizeMultiplier,yr,a),o=a.sizeMultiplier,s=Math.max(0,t.minRuleThickness-t.fontMetrics().sqrtRuleThickness),l=0,h=0,m=0;return”small“===i.type?(e<1?o=1:e<1.4&&(o=.7),h=(1+s)/o,(r=ur("sqrtMain",l=(1+s+cr)/o,m=1e3+1e3*s+80,s,t)).style.minWidth="0.853em",n=.833/o):"large"===i.type?(m=1080*gr[i.size],h=(gr[i.size]+s)/o,l=(gr[i.size]+s+cr)/o,(r=ur("sqrtSize"+i.size,l,m,s,t)).style.minWidth="1.02em",n=1/o):(l=e+s+cr,h=e+s,m=Math.floor(1e3*e+s)+80,(r=ur("sqrtTall",l,m,s,t)).style.minWidth="0.742em",n=1.056),r.height=h,r.style.height=l+"em",{span:r,advanceWidth:n,ruleWidth:(t.fontMetrics().sqrtRuleThickness+s)*o}},Mr=function(e,t,r,a,i){if("<"===e||"\\lt"===e||"\u27e8"===e?e="\\langle":">”!==e&&“\gt”!==e&&“u27e9”!==e||(e=“\rangle”),l.contains(pr,e)||l.contains(fr,e))return ar(e,t,!1,r,a,i);if(l.contains(dr,e))return mr(e,gr[t],!1,r,a,i);throw new n(“Illegal delimiter: ‘”e“’”)},zr=gr,Ar=kr,Tr=function(e,t,r,n,a,i){var o=n.fontMetrics().axisHeight*n.sizeMultiplier,s=5/n.fontMetrics().ptPerEm,l=Math.max(t-o,r+o),h=Math.max(l/500*901,2*l-s);return kr(e,h,!0,n,a,i)},Br={“\bigl”:{mclass:“mopen”,size:1},“\Bigl”:{mclass:“mopen”,size:2},“\biggl”:{mclass:“mopen”,size:3},“\Biggl”:{mclass:“mopen”,size:4},“\bigr”:{mclass:“mclose”,size:1},“\Bigr”:{mclass:“mclose”,size:2},“\biggr”:{mclass:“mclose”,size:3},“\Biggr”:{mclass:“mclose”,size:4},“\bigm”:{mclass:“mrel”,size:1},“\Bigm”:{mclass:“mrel”,size:2},“\biggm”:{mclass:“mrel”,size:3},“\Biggm”:{mclass:“mrel”,size:4},“\big”:{mclass:“mord”,size:1},“\Big”:{mclass:“mord”,size:2},“\bigg”:{mclass:“mord”,size:3},“\Bigg”:{mclass:“mord”,size:4}},qr=[“(”,“\lparen”,“)”,“\rparen”,“[”,“\lbrack”,“]”,“\rbrack”,“\{”,“\lbrace”,“\}”,“\rbrace”,“\lfloor”,“\rfloor”,“u230a”,“u230b”,“\lceil”,“\rceil”,“u2308”,“u2309”,“<",">”,“\langle”,“u27e8”,“\rangle”,“u27e9”,“\lt”,“\gt”,“\lvert”,“\rvert”,“\lVert”,“\rVert”,“\lgroup”,“\rgroup”,“u27ee”,“u27ef”,“\lmoustache”,“\rmoustache”,“u23b0”,“u23b1”,“/”,“\backslash”,“|”,“\vert”,“\|”,“\Vert”,“\uparrow”,“\Uparrow”,“\downarrow”,“\Downarrow”,“\updownarrow”,“\Updownarrow”,“.”];function Nr(e,t){var r=Gt(e);if(r&&l.contains(qr,r.text))return r;throw new n(r?“Invalid delimiter ‘”r.text“’ after ‘”t.funcName“’”:“Invalid delimiter type ‘”e.type“’”,e)}function Cr(e){if(!e.body)throw new Error(“Bug: The leftright ParseNode wasn’t fully parsed.”)}nt({type:“delimsizing”,names:[“\bigl”,“\Bigl”,“\biggl”,“\Biggl”,“\bigr”,“\Bigr”,“\biggr”,“\Biggr”,“\bigm”,“\Bigm”,“\biggm”,“\Biggm”,“\big”,“\Big”,“\bigg”,“\Bigg”],props:{numArgs:1,argTypes:[“primitive”]},handler:function(e,t){var r=Nr(t[0],e);return{type:“delimsizing”,mode:e.parser.mode,size:Br[e.funcName].size,mclass:Br[e.funcName].mclass,delim:r.text}},htmlBuilder:function(e,t){return“.”===e.delim?je.makeSpan([e.mclass]):Mr(e.delim,e.size,t,e.mode,[e.mclass])},mathmlBuilder:function(e){var t=[];“.”!==e.delim&&t.push(zt(e.delim,e.mode));var r=new Mt.MathNode(“mo”,t);return“mopen”===e.mclass||“mclose”===e.mclass?r.setAttribute(“fence”,“true”):r.setAttribute(“fence”,“false”),r.setAttribute(“stretchy”,“true”),r.setAttribute(“minsize”,zr[e.size]+“em”),r.setAttribute(“maxsize”,zr[e.size]+“em”),r}}),nt({type:“leftright-right”,names:[“\right”],props:{numArgs:1,primitive:!0},handler:function(e,t){var r=e.parser.gullet.macros.get(“\current@color”);if(r&&“string”!=typeof r)throw new n(“\current@color set to non-string in \right”);return{type:“leftright-right”,mode:e.parser.mode,delim:Nr(t[0],e).text,color:r}}}),nt({type:“leftright”,names:[“\left”],props:{numArgs:1,primitive:!0},handler:function(e,t){var r=Nr(t[0],e),n=e.parser;++n.leftrightDepth;var a=n.parseExpression(!1);–n.leftrightDepth,n.expect(“\right”,!1);var i=Ft(n.parseFunction(),“leftright-right”);return{type:“leftright”,mode:n.mode,body:a,left:r.text,right:i.delim,rightColor:i.color}},htmlBuilder:function(e,t){Cr(e);for(var r,n,a=ut(e.body,t,!0,[“mopen”,“mclose”]),i=0,o=0,s=!1,l=0;ln/2“ 0 l65 45 L145 ”+(n-80)+“ H400000z”,g=new R([new E(“phase”,f)],{width:“400em”,height:d/1e3+“em”,viewBox:“0 0 400000 ”+d,preserveAspectRatio:“xMinYMin slice”});(r=je.makeSvgSpan([“hide-tail”],[g],t)).style.height=p+“em”,h=i.depth+c+u}else{/cancel/.test(o)?m||i.classes.push(“cancel-pad”):“angl”===o?i.classes.push(“anglpad”):i.classes.push(“boxpad”);var v=0,b=0,y=0;/box/.test(o)?(y=Math.max(t.fontMetrics().fboxrule,t.minRuleThickness),b=v=t.fontMetrics().fboxsep+(“colorbox”===o?0:y)):“angl”===o?(v=4*(y=Math.max(t.fontMetrics().defaultRuleThickness,t.minRuleThickness)),b=Math.max(0,.25-i.depth)):b=v=m?.2:0,r=Lt(i,o,v,b,t),/fbox|boxed|fcolorbox/.test(o)?(r.style.borderStyle=“solid”,r.style.borderWidth=y+“em”):“angl”===o&&.049!==y&&(r.style.borderTopWidth=y+“em”,r.style.borderRightWidth=y+“em”),h=i.depth+b,e.backgroundColor&&(r.style.backgroundColor=e.backgroundColor,e.borderColor&&(r.style.borderColor=e.borderColor))}if(e.backgroundColor)a=je.makeVList({positionType:“individualShift”,children:[{type:“elem”,elem:r,shift:h},{type:“elem”,elem:i,shift:0}]},t);else{var x=/cancel|phase/.test(o)?[“svg-align”]:[];a=je.makeVList({positionType:“individualShift”,children:[{type:“elem”,elem:i,shift:0},{type:“elem”,elem:r,shift:h,wrapperClasses:x}]},t)}return/cancel/.test(o)&&(a.height=i.height,a.depth=i.depth),/cancel/.test(o)&&!m?je.makeSpan([“mord”,“cancel-lap”],[a],t):je.makeSpan([“mord”],[a],t)},Or=function(e,t){var r=0,n=new Mt.MathNode(e.label.indexOf(“colorbox”)>-1?“mpadded”:“menclose”,[Nt(e.body,t)]);switch(e.label){case“\cancel”:n.setAttribute(“notation”,“updiagonalstrike”);break;case“\bcancel”:n.setAttribute(“notation”,“downdiagonalstrike”);break;case“\phase”:n.setAttribute(“notation”,“phasorangle”);break;case“\sout”:n.setAttribute(“notation”,“horizontalstrike”);break;case“\fbox”:n.setAttribute(“notation”,“box”);break;case“\angl”:n.setAttribute(“notation”,“actuarial”);break;case“\fcolorbox”:case“\colorbox”:if(r=t.fontMetrics().fboxsep*t.fontMetrics().ptPerEm,n.setAttribute(“width”,“+”+2*r+“pt”),n.setAttribute(“height”,“+”+2*r+“pt”),n.setAttribute(“lspace”,r+“pt”),n.setAttribute(“voffset”,r+“pt”),“\fcolorbox”===e.label){var a=Math.max(t.fontMetrics().fboxrule,t.minRuleThickness);n.setAttribute(“style”,“border: ”a“em solid ”+String(e.borderColor))}break;case“\xcancel”:n.setAttribute(“notation”,“updiagonalstrike downdiagonalstrike”)}return e.backgroundColor&&n.setAttribute(“mathbackground”,e.backgroundColor),n};nt({type:“enclose”,names:[“\colorbox”],props:{numArgs:2,allowedInText:!0,argTypes:[“color”,“text”]},handler:function(e,t,r){var n=e.parser,a=e.funcName,i=Ft(t[0],“color-token”).color,o=t[1];return{type:“enclose”,mode:n.mode,label:a,backgroundColor:i,body:o}},htmlBuilder:Ir,mathmlBuilder:Or}),nt({type:“enclose”,names:[“\fcolorbox”],props:{numArgs:3,allowedInText:!0,argTypes:[“color”,“color”,“text”]},handler:function(e,t,r){var n=e.parser,a=e.funcName,i=Ft(t[0],“color-token”).color,o=Ft(t[1],“color-token”).color,s=t[2];return{type:“enclose”,mode:n.mode,label:a,backgroundColor:o,borderColor:i,body:s}},htmlBuilder:Ir,mathmlBuilder:Or}),nt({type:“enclose”,names:[“\fbox”],props:{numArgs:1,argTypes:[“hbox”],allowedInText:!0},handler:function(e,t){return{type:“enclose”,mode:e.parser.mode,label:“\fbox”,body:t[0]}}}),nt({type:“enclose”,names:[“\cancel”,“\bcancel”,“\xcancel”,“\sout”,“\phase”],props:{numArgs:1},handler:function(e,t){var r=e.parser,n=e.funcName,a=t[0];return{type:“enclose”,mode:r.mode,label:n,body:a}},htmlBuilder:Ir,mathmlBuilder:Or}),nt({type:“enclose”,names:[“\angl”],props:{numArgs:1,argTypes:[“hbox”],allowedInText:!1},handler:function(e,t){return{type:“enclose”,mode:e.parser.mode,label:“\angl”,body:t[0]}}});var Rr={};function Er(e){for(var t=e.type,r=e.names,n=e.props,a=e.handler,i=e.htmlBuilder,o=e.mathmlBuilder,s={type:t,numArgs:n.numArgs||0,allowedInText:!1,numOptionalArgs:0,handler:a},l=0;le.envName“} can be used only in display mode.”)};function Dr(e,t,r){var a=t.hskipBeforeAndAfter,i=t.addJot,o=t.cols,s=t.arraystretch,l=t.colSeparationType,h=t.addEqnNum,m=t.singleRow,c=t.maxNumCols,u=t.leqno;if(e.gullet.beginGroup(),m||e.gullet.macros.set(“\cr”,“\\\relax”),!s){var p=e.gullet.expandMacroAsText(“\arraystretch”);if(null==p)s=1;else if(!(s=parseFloat(p))||s<0)throw new n("Invalid \\arraystretch: "+p)}e.gullet.beginGroup();var d=[],f=[d],g=[],v=[];for(v.push(Hr(e));;){var b=e.parseExpression(!1,m?"\\end":"\\\\");e.gullet.endGroup(),e.gullet.beginGroup(),b={type:"ordgroup",mode:e.mode,body:b},r&&(b={type:"styling",mode:e.mode,style:r,body:[b]}),d.push(b);var y=e.fetch().text;if("&"===y){if(c&&d.length===c){if(m||l)throw new n("Too many tab characters: &",e.nextToken);e.settings.reportNonstrict("textEnv","Too few columns specified in the {array} column argument.")}e.consume()}else{if("\\end"===y){1===d.length&&"styling"===b.type&&0===b.body[0].body.length&&f.pop(),v.length0&&(x+=.25),m.push({pos:x,isDashed:e[t]})}for(w(o[0]),r=0;r0&&(M<(B+=y)&&(M=B),B=0),e.addJot&&(M+=f),z.height=S,z.depth=M,x+=S,z.pos=x,x+=M+B,h[r]=z,w(o[r+1])}var q,N,C=x/2+t.fontMetrics().axisHeight,I=e.cols||[],O=[],R=[];if(e.addEqnNum)for(r=0;rc/2“em”,V.style.verticalAlign=-(x-C)+“em”,O.push(V),D=I[++N]||{},P=!1}if(!(a>=s)){var G=void 0;(a>0||e.hskipBeforeAndAfter)&&0!==(G=l.deflt(D.pregap,p))&&((q=je.makeSpan([“arraycolsep”],[])).style.width=G+“em”,O.push(q));var U=[];for(r=0;r0){for(var _=je.makeLineSpan(“hline”,t,c),j=je.makeLineSpan(“hdashline”,t,c),$=[{type:“elem”,elem:h,shift:0}];m.length>0;){var Z=m.pop(),K=Z.pos-C;Z.isDashed?$.push({type:“elem”,elem:j,shift:K}):$.push({type:“elem”,elem:_,shift:K})}h=je.makeVList({positionType:“individualShift”,children:$},t)}if(e.addEqnNum){var J=je.makeVList({positionType:“individualShift”,children:R},t);return J=je.makeSpan([“tag”],[J],t),je.makeFragment([h,J])}return je.makeSpan([“mord”],[h],t)},Vr={c:“center ”,l:“left ”,r:“right ”},Gr=function(e,t){for(var r=[],n=new Mt.MathNode(“mtd”,[],[“mtr-glue”]),a=new Mt.MathNode(“mtd”,[],[“mml-eqn-num”]),i=0;i0){var p=e.cols,d=“”,f=!1,g=0,v=p.length;“separator”===p[0].type&&(c+=“top ”,g=1),“separator”===p[p.length-1].type&&(c+=“bottom ”,v-=1);for(var b=g;b0?“left ”:“”,c+=S[S.length-1].length>0?“right ”:“”;for(var M=1;M-1?“alignat”:“align”,o=Dr(e.parser,{cols:a,addJot:!0,addEqnNum:“align”===e.envName||“alignat”===e.envName,colSeparationType:i,maxNumCols:“split”===e.envName?2:void 0,leqno:e.parser.settings.leqno},“display”),s=0,l={type:“ordgroup”,mode:e.mode,body:[]};if(t[0]&&“ordgroup”===t[0].type){for(var h=“”,m=0;mr“, but got ”+i,e[0])}}));for(var u=0;u0&&c&&(d=1),a[u]={type:“align”,align:p,pregap:d,postgap:0}}return o.colSeparationType=c?“align”:“alignat”,o};Er({type:“array”,names:[“array”,“darray”],props:{numArgs:1},handler:function(e,t){var r=(Gt(t[0])?[t[0]]:Ft(t[0],“ordgroup”).body).map((function(e){var t=Vt(e).text;if(-1!==“lcr”.indexOf(t))return{type:“align”,align:t};if(“|”===t)return{type:“separator”,separator:“|”};if(“:”===t)return{type:“separator”,separator:“:”};throw new n(“Unknown column alignment: ”+t,e)})),a={cols:r,hskipBeforeAndAfter:!0,maxNumCols:r.length};return Dr(e.parser,a,Pr(e.envName))},htmlBuilder:Fr,mathmlBuilder:Gr}),Er({type:“array”,names:[“matrix”,“pmatrix”,“bmatrix”,“Bmatrix”,“vmatrix”,“Vmatrix”,“matrix*”,“pmatrix*”,“bmatrix*”,“Bmatrix*”,“vmatrix*”,“Vmatrix*”],props:{numArgs:0},handler:function(e){var t={matrix:null,pmatrix:[“(”,“)”],bmatrix:[“[”,“]”],Bmatrix:[“\{”,“\}”],vmatrix:[“|”,“|”],Vmatrix:[“\Vert”,“\Vert”]}[e.envName.replace(“*”,“”)],r=“c”,a={hskipBeforeAndAfter:!1,cols:[{type:“align”,align:r}]};if(“*”===e.envName.charAt(e.envName.length-1)){var i=e.parser;if(i.consumeSpaces(),“[”===i.fetch().text){if(i.consume(),i.consumeSpaces(),r=i.fetch().text,-1===“lcr”.indexOf®)throw new n(“Expected l or c or r”,i.nextToken);i.consume(),i.consumeSpaces(),i.expect(“]”),i.consume(),a.cols=[{type:“align”,align:r}]}}var o=Dr(e.parser,a,Pr(e.envName));return o.cols=new Array(o.body[0].length).fill({type:“align”,align:r}),t?{type:“leftright”,mode:e.mode,body:[o],left:t[0],right:t[1],rightColor:void 0}:o},htmlBuilder:Fr,mathmlBuilder:Gr}),Er({type:“array”,names:[“smallmatrix”],props:{numArgs:0},handler:function(e){var t=Dr(e.parser,{arraystretch:.5},“script”);return t.colSeparationType=“small”,t},htmlBuilder:Fr,mathmlBuilder:Gr}),Er({type:“array”,names:[“subarray”],props:{numArgs:1},handler:function(e,t){var r=(Gt(t[0])?[t[0]]:Ft(t[0],“ordgroup”).body).map((function(e){var t=Vt(e).text;if(-1!==“lc”.indexOf(t))return{type:“align”,align:t};throw new n(“Unknown column alignment: ”+t,e)}));if(r.length>1)throw new n(“{subarray} can contain only one column”);var a={cols:r,hskipBeforeAndAfter:!1,arraystretch:.5};if((a=Dr(e.parser,a,“script”)).body.length>0&&a.body[0].length>1)throw new n(“{subarray} can contain only one column”);return a},htmlBuilder:Fr,mathmlBuilder:Gr}),Er({type:“array”,names:[“cases”,“dcases”,“rcases”,“drcases”],props:{numArgs:0},handler:function(e){var t=Dr(e.parser,{arraystretch:1.2,cols:[{type:“align”,align:“l”,pregap:0,postgap:1},{type:“align”,align:“l”,pregap:0,postgap:0}]},Pr(e.envName));return{type:“leftright”,mode:e.mode,body:[t],left:e.envName.indexOf(“r”)>-1?“.”:“\{”,right:e.envName.indexOf(“r”)>-1?“\}”:“.”,rightColor:void 0}},htmlBuilder:Fr,mathmlBuilder:Gr}),Er({type:“array”,names:[“align”,“align*”,“aligned”,“split”],props:{numArgs:0},handler:Ur,htmlBuilder:Fr,mathmlBuilder:Gr}),Er({type:“array”,names:[“gathered”,“gather”,“gather*”],props:{numArgs:0},handler:function(e){l.contains([“gather”,“gather*”],e.envName)&&Lr(e);var t={cols:[{type:“align”,align:“c”}],addJot:!0,colSeparationType:“gather”,addEqnNum:“gather”===e.envName,leqno:e.parser.settings.leqno};return Dr(e.parser,t,“display”)},htmlBuilder:Fr,mathmlBuilder:Gr}),Er({type:“array”,names:[“alignat”,“alignat*”,“alignedat”],props:{numArgs:1},handler:Ur,htmlBuilder:Fr,mathmlBuilder:Gr}),Er({type:“array”,names:[“equation”,“equation*”],props:{numArgs:0},handler:function(e){Lr(e);var t={addEqnNum:“equation”===e.envName,singleRow:!0,maxNumCols:1,leqno:e.parser.settings.leqno};return Dr(e.parser,t,“display”)},htmlBuilder:Fr,mathmlBuilder:Gr}),Er({type:“array”,names:[“CD”],props:{numArgs:0},handler:function(e){return Lr(e),function(e){var t=[];for(e.gullet.beginGroup(),e.gullet.macros.set(“\cr”,“\\\relax”),e.gullet.beginGroup();;){t.push(e.parseExpression(!1,“\\”)),e.gullet.endGroup(),e.gullet.beginGroup();var r=e.fetch().text;if(“&”!==r&&“\\”!==r){if(“\end”===r){0===t[t.length-1].length&&t.pop();break}throw new n(“Expected \\ or \cr or \end”,e.nextToken)}e.consume()}for(var a,i,o=[],s=[o],l=0;l-1);else{if(!(“<>AV”.indexOf(u)>-1))throw new n(‘Expected one of “<>AV=|.” after @’,h[c]);for(var d=0;d<2;d++){for(var f=!0,g=c+1;gu“ character to complete a CD arrow.”,h[g]);p[d].body.push(h[g])}if(f)throw new n(“Missing a ”u“ character to complete a CD arrow.”,h[c])}}var v={type:“styling”,body:[$t(u,p,e)],mode:“math”,style:“display”};o.push(v),m={type:“styling”,body:[],mode:“math”,style:“display”}}else m.body.push(h[c]);l%2==0?o.push(m):o.shift(),o=[],s.push(o)}return e.gullet.endGroup(),e.gullet.endGroup(),{type:“array”,mode:“math”,body:s,arraystretch:1,addJot:!0,rowGaps:[null],cols:new Array(s[0].length).fill({type:“align”,align:“c”,pregap:.25,postgap:.25}),colSeparationType:“CD”,hLinesBeforeRow:new Array(s.length+1).fill([])}}(e.parser)},htmlBuilder:Fr,mathmlBuilder:Gr}),nt({type:“text”,names:[“\hline”,“\hdashline”],props:{numArgs:0,allowedInText:!0,allowedInMath:!0},handler:function(e,t){throw new n(e.funcName+“ valid only within array environment”)}});var Yr=Rr;nt({type:“environment”,names:[“\begin”,“\end”],props:{numArgs:1,argTypes:[“text”]},handler:function(e,t){var r=e.parser,a=e.funcName,i=t[0];if(“ordgroup”!==i.type)throw new n(“Invalid environment name”,i);for(var o=“”,s=0;so“}”,l),m=h.args,c=h.optArgs,u={mode:r.mode,envName:o,parser:r},p=l.handler(u,m,c);r.expect(“\end”,!1);var d=r.nextToken,f=Ft(r.parseFunction(),“environment”);if(f.name!==o)throw new n(“Mismatch: \begin{”o“} matched by \end{”f.name“}”,d);return p}return{type:“environment”,mode:r.mode,name:o,nameGroup:i}}});var Wr=je.makeSpan;function Xr(e,t){var r=ut(e.body,t,!0);return Wr([e.mclass],r,t)}function _r(e,t){var r,n=Bt(e.body,t);return“minner”===e.mclass?Mt.newDocumentFragment(n):(“mord”===e.mclass?e.isCharacterBox?(r=n[0]).type=“mi”:r=new Mt.MathNode(“mi”,n):(e.isCharacterBox?(r=n[0]).type=“mo”:r=new Mt.MathNode(“mo”,n),“mbin”===e.mclass?(r.attributes.lspace=“0.22em”,r.attributes.rspace=“0.22em”):“mpunct”===e.mclass?(r.attributes.lspace=“0em”,r.attributes.rspace=“0.17em”):“mopen”!==e.mclass&&“mclose”!==e.mclass||(r.attributes.lspace=“0em”,r.attributes.rspace=“0em”)),r)}nt({type:“mclass”,names:[“\mathord”,“\mathbin”,“\mathrel”,“\mathopen”,“\mathclose”,“\mathpunct”,“\mathinner”],props:{numArgs:1,primitive:!0},handler:function(e,t){var r=e.parser,n=e.funcName,a=t[0];return{type:“mclass”,mode:r.mode,mclass:“m”+n.substr(5),body:ot(a),isCharacterBox:l.isCharacterBox(a)}},htmlBuilder:Xr,mathmlBuilder:_r});var jr=function(e){var t=“ordgroup”===e.type&&e.body.length?e.body[0]:e;return“atom”!==t.type||“bin”!==t.family&&“rel”!==t.family?“mord”:“m”+t.family};nt({type:“mclass”,names:[“\@binrel”],props:{numArgs:2},handler:function(e,t){return{type:“mclass”,mode:e.parser.mode,mclass:jr(t[0]),body:ot(t[1]),isCharacterBox:l.isCharacterBox(t[1])}}}),nt({type:“mclass”,names:[“\stackrel”,“\overset”,“\underset”],props:{numArgs:2},handler:function(e,t){var r,n=e.parser,a=e.funcName,i=t[1],o=t[0];r=“\stackrel”!==a?jr(i):“mrel”;var s={type:“op”,mode:i.mode,limits:!0,alwaysHandleSupSub:!0,parentIsSupSub:!1,symbol:!1,suppressBaseShift:“\stackrel”!==a,body:ot(i)},h={type:“supsub”,mode:o.mode,base:s,sup:“\underset”===a?null:o,sub:“\underset”===a?o:null};return{type:“mclass”,mode:n.mode,mclass:r,body:[h],isCharacterBox:l.isCharacterBox(h)}},htmlBuilder:Xr,mathmlBuilder:_r});var $r=function(e,t){var r=e.font,n=t.withFont®;return bt(e.body,n)},Zr=function(e,t){var r=e.font,n=t.withFont®;return Nt(e.body,n)},Kr={“\Bbb”:“\mathbb”,“\bold”:“\mathbf”,“\frak”:“\mathfrak”,“\bm”:“\boldsymbol”};nt({type:“font”,names:[“\mathrm”,“\mathit”,“\mathbf”,“\mathnormal”,“\mathbb”,“\mathcal”,“\mathfrak”,“\mathscr”,“\mathsf”,“\mathtt”,“\Bbb”,“\bold”,“\frak”],props:{numArgs:1,allowedInArgument:!0},handler:function(e,t){var r=e.parser,n=e.funcName,a=it(t[0]),i=n;return i in Kr&&(i=Kr[i]),{type:“font”,mode:r.mode,font:i.slice(1),body:a}},htmlBuilder:$r,mathmlBuilder:Zr}),nt({type:“mclass”,names:[“\boldsymbol”,“\bm”],props:{numArgs:1},handler:function(e,t){var r=e.parser,n=t[0],a=l.isCharacterBox(n);return{type:“mclass”,mode:r.mode,mclass:jr(n),body:[{type:“font”,mode:r.mode,font:“boldsymbol”,body:n}],isCharacterBox:a}}}),nt({type:“font”,names:[“\rm”,“\sf”,“\tt”,“\bf”,“\it”,“\cal”],props:{numArgs:0,allowedInText:!0},handler:function(e,t){var r=e.parser,n=e.funcName,a=e.breakOnTokenText,i=r.mode,o=r.parseExpression(!0,a);return{type:“font”,mode:i,font:“math”+n.slice(1),body:{type:“ordgroup”,mode:r.mode,body:o}}},htmlBuilder:$r,mathmlBuilder:Zr});var Jr=function(e,t){var r=t;return“display”===e?r=r.id>=b.SCRIPT.id?r.text():b.DISPLAY:“text”===e&&r.size===b.DISPLAY.size?r=b.TEXT:“script”===e?r=b.SCRIPT:“scriptscript”===e&&(r=b.SCRIPTSCRIPT),r},Qr=function(e,t){var r,n=Jr(e.size,t.style),a=n.fracNum(),i=n.fracDen();r=t.havingStyle(a);var o=bt(e.numer,r,t);if(e.continued){var s=8.5/t.fontMetrics().ptPerEm,l=3.5/t.fontMetrics().ptPerEm;o.height=o.height0?3*c:7*c,d=t.fontMetrics().denom1):(m>0?(u=t.fontMetrics().num2,p=c):(u=t.fontMetrics().num3,p=3*c),d=t.fontMetrics().denom2),h){var w=t.fontMetrics().axisHeight;u-o.depth-(w+.5*m)0&&(t=“.”===(t=e)?null:t),t};nt({type:“genfrac”,names:[“\genfrac”],props:{numArgs:6,allowedInArgument:!0,argTypes:[“math”,“math”,“size”,“text”,“math”,“math”]},handler:function(e,t){var r,n=e.parser,a=t[4],i=t[5],o=it(t[0]),s=“atom”===o.type&&“open”===o.family?rn(o.text):null,l=it(t[1]),h=“atom”===l.type&&“close”===l.family?rn(l.text):null,m=Ft(t[2],“size”),c=null;r=!!m.isBlank||(c=m.value).number>0;var u=“auto”,p=t[3];if(“ordgroup”===p.type){if(p.body.length>0){var d=Ft(p.body[0],“textord”);u=tn[Number(d.text)]}}else p=Ft(p,“textord”),u=tn[Number(p.text)];return{type:“genfrac”,mode:n.mode,numer:a,denom:i,continued:!1,hasBarLine:r,barSize:c,leftDelim:s,rightDelim:h,size:u}},htmlBuilder:Qr,mathmlBuilder:en}),nt({type:“infix”,names:[“\above”],props:{numArgs:1,argTypes:[“size”],infix:!0},handler:function(e,t){var r=e.parser,n=(e.funcName,e.token);return{type:“infix”,mode:r.mode,replaceWith:“\\abovefrac”,size:Ft(t[0],“size”).value,token:n}}}),nt({type:“genfrac”,names:[“\\abovefrac”],props:{numArgs:3,argTypes:[“math”,“size”,“math”]},handler:function(e,t){var r=e.parser,n=(e.funcName,t[0]),a=function(e){if(!e)throw new Error(“Expected non-null, but got ”+String(e));return e}(Ft(t[1],“infix”).size),i=t[2],o=a.number>0;return{type:“genfrac”,mode:r.mode,numer:n,denom:i,continued:!1,hasBarLine:o,barSize:a,leftDelim:null,rightDelim:null,size:“auto”}},htmlBuilder:Qr,mathmlBuilder:en});var nn=function(e,t){var r,n,a=t.style;“supsub”===e.type?(r=e.sup?bt(e.sup,t.havingStyle(a.sup()),t):bt(e.sub,t.havingStyle(a.sub()),t),n=Ft(e.base,“horizBrace”)):n=Ft(e,“horizBrace”);var i,o=bt(n.base,t.havingBaseStyle(b.DISPLAY)),s=Pt(n,t);if(n.isOver?(i=je.makeVList({positionType:“firstBaseline”,children:[{type:“elem”,elem:o},{type:“kern”,size:.1},{type:“elem”,elem:s}]},t)).children[0].children[0].children[1].classes.push(“svg-align”):(i=je.makeVList({positionType:“bottom”,positionData:o.depth+.1+s.height,children:[{type:“elem”,elem:s},{type:“kern”,size:.1},{type:“elem”,elem:o}]},t)).children[0].children[0].children[0].classes.push(“svg-align”),r){var l=je.makeSpan([“mord”,n.isOver?“mover”:“munder”],[i],t);i=n.isOver?je.makeVList({positionType:“firstBaseline”,children:[{type:“elem”,elem:l},{type:“kern”,size:.2},{type:“elem”,elem:r}]},t):je.makeVList({positionType:“bottom”,positionData:l.depth+.2+r.height+r.depth,children:[{type:“elem”,elem:r},{type:“kern”,size:.2},{type:“elem”,elem:l}]},t)}return je.makeSpan([“mord”,n.isOver?“mover”:“munder”],[i],t)};nt({type:“horizBrace”,names:[“\overbrace”,“\underbrace”],props:{numArgs:1},handler:function(e,t){var r=e.parser,n=e.funcName;return{type:“horizBrace”,mode:r.mode,label:n,isOver:/^\over/.test(n),base:t[0]}},htmlBuilder:nn,mathmlBuilder:function(e,t){var r=Dt(e.label);return new Mt.MathNode(e.isOver?“mover”:“munder”,[Nt(e.base,t),r])}}),nt({type:“href”,names:[“\href”],props:{numArgs:2,argTypes:[“url”,“original”],allowedInText:!0},handler:function(e,t){var r=e.parser,n=t[1],a=Ft(t[0],“url”).url;return r.settings.isTrusted({command:“\href”,url:a})?{type:“href”,mode:r.mode,href:a,body:ot(n)}:r.formatUnsupportedCmd(“\href”)},htmlBuilder:function(e,t){var r=ut(e.body,t,!1);return je.makeAnchor(e.href,[],r,t)},mathmlBuilder:function(e,t){var r=qt(e.body,t);return r instanceof kt||(r=new kt(“mrow”,[r])),r.setAttribute(“href”,e.href),r}}),nt({type:“href”,names:[“\url”],props:{numArgs:1,argTypes:[“url”],allowedInText:!0},handler:function(e,t){var r=e.parser,n=Ft(t[0],“url”).url;if(!r.settings.isTrusted({command:“\url”,url:n}))return r.formatUnsupportedCmd(“\url”);for(var a=[],i=0;ie“‘ in \includegraphics”);var r={number:+(t[1]+t[2]),unit:t[3]};if(!He®)throw new n(“Invalid unit: ’”r.unit“‘ in \includegraphics.”);return r};nt({type:“includegraphics”,names:[“\includegraphics”],props:{numArgs:1,numOptionalArgs:1,argTypes:[“raw”,“url”],allowedInText:!1},handler:function(e,t,r){var a=e.parser,i={number:0,unit:“em”},o={number:.9,unit:“em”},s={number:0,unit:“em”},l=“”;if(r[0])for(var h=Ft(r[0],“raw”).string.split(“,”),m=0;mc[0]“’ in \includegraphics.”)}}}var p=Ft(t[0],“url”).url;return“”===l&&(l=(l=(l=p).replace(/^.*[\/]/,“”)).substring(0,l.lastIndexOf(“.”))),a.settings.isTrusted({command:“\includegraphics”,url:p})?{type:“includegraphics”,mode:a.mode,alt:l,width:i,height:o,totalheight:s,src:p}:a.formatUnsupportedCmd(“\includegraphics”)},htmlBuilder:function(e,t){var r=Le(e.height,t),n=0;e.totalheight.number>0&&(n=Le(e.totalheight,t)-r,n=Number(n.toFixed(2)));var a=0;e.width.number>0&&(a=Le(e.width,t));var i={height:r+n+“em”};a>0&&(i.width=a+“em”),n>0&&(i.verticalAlign=-n+“em”);var o=new C(e.src,e.alt,i);return o.height=r,o.depth=n,o},mathmlBuilder:function(e,t){var r=new Mt.MathNode(“mglyph”,[]);r.setAttribute(“alt”,e.alt);var n=Le(e.height,t),a=0;if(e.totalheight.number>0&&(a=(a=Le(e.totalheight,t)-n).toFixed(2),r.setAttribute(“valign”,“-”a“em”)),r.setAttribute(“height”,n+a+“em”),e.width.number>0){var i=Le(e.width,t);r.setAttribute(“width”,i+“em”)}return r.setAttribute(“src”,e.src),r}}),nt({type:“kern”,names:[“\kern”,“\mkern”,“\hskip”,“\mskip”],props:{numArgs:1,argTypes:[“size”],primitive:!0,allowedInText:!0},handler:function(e,t){var r=e.parser,n=e.funcName,a=Ft(t[0],“size”);if(r.settings.strict){var i=“m”===n[1],o=“mu”===a.value.unit;i?(o||r.settings.reportNonstrict(“mathVsTextUnits”,“LaTeX’s ”n“ supports only mu units, not ”a.value.unit“ units”),“math”!==r.mode&&r.settings.reportNonstrict(“mathVsTextUnits”,“LaTeX’s ”n“ works only in math mode”)):o&&r.settings.reportNonstrict(“mathVsTextUnits”,“LaTeX’s ”n“ doesn’t support mu units”)}return{type:“kern”,mode:r.mode,dimension:a.value}},htmlBuilder:function(e,t){return je.makeGlue(e.dimension,t)},mathmlBuilder:function(e,t){var r=Le(e.dimension,t);return new Mt.SpaceNode®}}),nt({type:“lap”,names:[“\mathllap”,“\mathrlap”,“\mathclap”],props:{numArgs:1,allowedInText:!0},handler:function(e,t){var r=e.parser,n=e.funcName,a=t[0];return{type:“lap”,mode:r.mode,alignment:n.slice(5),body:a}},htmlBuilder:function(e,t){var r;“clap”===e.alignment?(r=je.makeSpan([],[bt(e.body,t)]),r=je.makeSpan([“inner”],[r],t)):r=je.makeSpan([“inner”],[bt(e.body,t)]);var n=je.makeSpan([“fix”],[]),a=je.makeSpan([e.alignment],[r,n],t),i=je.makeSpan([“strut”]);return i.style.height=a.height+a.depth+“em”,i.style.verticalAlign=-a.depth+“em”,a.children.unshift(i),a=je.makeSpan([“thinbox”],[a],t),je.makeSpan([“mord”,“vbox”],[a],t)},mathmlBuilder:function(e,t){var r=new Mt.MathNode(“mpadded”,[Nt(e.body,t)]);if(“rlap”!==e.alignment){var n=“llap”===e.alignment?“-1”:“-0.5”;r.setAttribute(“lspace”,n+“width”)}return r.setAttribute(“width”,“0px”),r}}),nt({type:“styling”,names:[“\(”,“$”],props:{numArgs:0,allowedInText:!0,allowedInMath:!1},handler:function(e,t){var r=e.funcName,n=e.parser,a=n.mode;n.switchMode(“math”);var i=“\(”===r?“\)”:“$”,o=n.parseExpression(!1,i);return n.expect(i),n.switchMode(a),{type:“styling”,mode:n.mode,style:“text”,body:o}}}),nt({type:“text”,names:[“\)”,“\]”],props:{numArgs:0,allowedInText:!0,allowedInMath:!1},handler:function(e,t){throw new n(“Mismatched ”+e.funcName)}});var on=function(e,t){switch(t.style.size){case b.DISPLAY.size:return e.display;case b.TEXT.size:return e.text;case b.SCRIPT.size:return e.script;case b.SCRIPTSCRIPT.size:return e.scriptscript;default:return e.text}};nt({type:“mathchoice”,names:[“\mathchoice”],props:{numArgs:4,primitive:!0},handler:function(e,t){return{type:“mathchoice”,mode:e.parser.mode,display:ot(t[0]),text:ot(t[1]),script:ot(t[2]),scriptscript:ot(t[3])}},htmlBuilder:function(e,t){var r=on(e,t),n=ut(r,t,!1);return je.makeFragment(n)},mathmlBuilder:function(e,t){var r=on(e,t);return qt(r,t)}});var sn=function(e,t,r,n,a,i,o){var s,l,h;if(e=je.makeSpan([],[e]),t){var m=bt(t,n.havingStyle(a.sup()),n);l={elem:m,kern:Math.max(n.fontMetrics().bigOpSpacing1,n.fontMetrics().bigOpSpacing3-m.depth)}}if®{var c=bt(r,n.havingStyle(a.sub()),n);s={elem:c,kern:Math.max(n.fontMetrics().bigOpSpacing2,n.fontMetrics().bigOpSpacing4-c.height)}}if(l&&s){var u=n.fontMetrics().bigOpSpacing5+s.elem.height+s.elem.depth+s.kern+e.depth+o;h=je.makeVList({positionType:“bottom”,positionData:u,children:[{type:“kern”,size:n.fontMetrics().bigOpSpacing5},{type:“elem”,elem:s.elem,marginLeft:-i+“em”},{type:“kern”,size:s.kern},{type:“elem”,elem:e},{type:“kern”,size:l.kern},{type:“elem”,elem:l.elem,marginLeft:i+“em”},{type:“kern”,size:n.fontMetrics().bigOpSpacing5}]},n)}else if(s){var p=e.height-o;h=je.makeVList({positionType:“top”,positionData:p,children:[{type:“kern”,size:n.fontMetrics().bigOpSpacing5},{type:“elem”,elem:s.elem,marginLeft:-i+“em”},{type:“kern”,size:s.kern},{type:“elem”,elem:e}]},n)}else{if(!l)return e;var d=e.depth+o;h=je.makeVList({positionType:“bottom”,positionData:d,children:[{type:“elem”,elem:e},{type:“kern”,size:l.kern},{type:“elem”,elem:l.elem,marginLeft:i+“em”},{type:“kern”,size:n.fontMetrics().bigOpSpacing5}]},n)}return je.makeSpan([“mop”,“op-limits”],[h],n)},ln=[“\smallint”],hn=function(e,t){var r,n,a,i=!1;“supsub”===e.type?(r=e.sup,n=e.sub,a=Ft(e.base,“op”),i=!0):a=Ft(e,“op”);var o,s=t.style,h=!1;if(s.size===b.DISPLAY.size&&a.symbol&&!l.contains(ln,a.name)&&(h=!0),a.symbol){var m=h?“Size2-Regular”:“Size1-Regular”,c=“”;if(“\oiint”!==a.name&&“\oiiint”!==a.name||(c=a.name.substr(1),a.name=“oiint”===c?“\iint”:“\iiint”),o=je.makeSymbol(a.name,m,“math”,t,[“mop”,“op-symbol”,h?“large-op”:“small-op”]),c.length>0){var u=o.italic,p=je.staticSvg(c+“Size”+(h?“2”:“1”),t);o=je.makeVList({positionType:“individualShift”,children:[{type:“elem”,elem:o,shift:0},{type:“elem”,elem:p,shift:h?.08:0}]},t),a.name=“\”+c,o.classes.unshift(“mop”),o.italic=u}}else if(a.body){var d=ut(a.body,t,!0);1===d.length&&d[0]instanceof O?(o=d[0]).classes[0]=“mop”:o=je.makeSpan([“mop”],d,t)}else{for(var f=[],g=1;g0){for(var s=a.body.map((function(e){var t=e.text;return“string”==typeof t?{type:“textord”,mode:e.mode,text:t}:e})),l=ut(s,t.withFont(“mathrm”),!0),h=0;h=0?s.setAttribute(“height”,“+”a“em”):(s.setAttribute(“height”,a+“em”),s.setAttribute(“depth”,“+”-a“em”)),s.setAttribute(“voffset”,a+“em”),s}});var fn=[“\tiny”,“\sixptsize”,“\scriptsize”,“\footnotesize”,“\small”,“\normalsize”,“\large”,“\Large”,“\LARGE”,“\huge”,“\Huge”];nt({type:“sizing”,names:fn,props:{numArgs:0,allowedInText:!0},handler:function(e,t){var r=e.breakOnTokenText,n=e.funcName,a=e.parser,i=a.parseExpression(!1,r);return{type:“sizing”,mode:a.mode,size:fn.indexOf(n)+1,body:i}},htmlBuilder:function(e,t){var r=t.havingSize(e.size);return dn(e.body,r,t)},mathmlBuilder:function(e,t){var r=t.havingSize(e.size),n=Bt(e.body,r),a=new Mt.MathNode(“mstyle”,n);return a.setAttribute(“mathsize”,r.sizeMultiplier+“em”),a}}),nt({type:“smash”,names:[“\smash”],props:{numArgs:1,numOptionalArgs:1,allowedInText:!0},handler:function(e,t,r){var n=e.parser,a=!1,i=!1,o=r[0]&&Ft(r[0],“ordgroup”);if(o)for(var s=“”,l=0;lr.height+r.depth+i&&(i=(i+c-r.height-r.depth)/2);var u=l.height-r.height-i-h;r.style.paddingLeft=m+“em”;var p=je.makeVList({positionType:“firstBaseline”,children:[{type:“elem”,elem:r,wrapperClasses:[“svg-align”]},{type:“kern”,size:-(r.height+u)},{type:“elem”,elem:l},{type:“kern”,size:h}]},t);if(e.index){var d=t.havingStyle(b.SCRIPTSCRIPT),f=bt(e.index,d,t),g=.6*(p.height-p.depth),v=je.makeVList({positionType:“shift”,positionData:-g,children:[{type:“elem”,elem:f}]},t),y=je.makeSpan([“root”],[v]);return je.makeSpan([“mord”,“sqrt”],[y,p],t)}return je.makeSpan([“mord”,“sqrt”],[p],t)},mathmlBuilder:function(e,t){var r=e.body,n=e.index;return n?new Mt.MathNode(“mroot”,[Nt(r,t),Nt(n,t)]):new Mt.MathNode(“msqrt”,[Nt(r,t)])}});var gn={display:b.DISPLAY,text:b.TEXT,script:b.SCRIPT,scriptscript:b.SCRIPTSCRIPT};nt({type:“styling”,names:[“\displaystyle”,“\textstyle”,“\scriptstyle”,“\scriptscriptstyle”],props:{numArgs:0,allowedInText:!0,primitive:!0},handler:function(e,t){var r=e.breakOnTokenText,n=e.funcName,a=e.parser,i=a.parseExpression(!0,r),o=n.slice(1,n.length-5);return{type:“styling”,mode:a.mode,style:o,body:i}},htmlBuilder:function(e,t){var r=gn[e.style],n=t.havingStyle®.withFont(“”);return dn(e.body,n,t)},mathmlBuilder:function(e,t){var r=gn[e.style],n=t.havingStyle®,a=Bt(e.body,n),i=new Mt.MathNode(“mstyle”,a),o={display:[“0”,“true”],text:[“0”,“false”],script:[“1”,“false”],scriptscript:[“2”,“false”]}[e.style];return i.setAttribute(“scriptlevel”,o),i.setAttribute(“displaystyle”,o),i}});var vn=function(e,t){var r=e.base;return r?“op”===r.type?r.limits&&(t.style.size===b.DISPLAY.size||r.alwaysHandleSupSub)?hn:null:“operatorname”===r.type?r.alwaysHandleSupSub&&(t.style.size===b.DISPLAY.size||r.limits)?pn:null:“accent”===r.type?l.isCharacterBox(r.base)?Ut:null:“horizBrace”===r.type&&!e.sub===r.isOver?nn:null:null};at({type:“supsub”,htmlBuilder:function(e,t){var r=vn(e,t);if®return r(e,t);var n,a,i,o=e.base,s=e.sup,h=e.sub,m=bt(o,t),c=t.fontMetrics(),u=0,p=0,d=o&&l.isCharacterBox(o);if(s){var f=t.havingStyle(t.style.sup());n=bt(s,f,t),d||(u=m.height-f.fontMetrics().supDrop*f.sizeMultiplier/t.sizeMultiplier)}if(h){var g=t.havingStyle(t.style.sub());a=bt(h,g,t),d||(p=m.depth+g.fontMetrics().subDrop*g.sizeMultiplier/t.sizeMultiplier)}i=t.style===b.DISPLAY?c.sup1:t.style.cramped?c.sup3:c.sup2;var v,y=t.sizeMultiplier,x=.5/c.ptPerEm/y+“em”,w=null;if(a){var k=e.base&&“op”===e.base.type&&e.base.name&&(“\oiint”===e.base.name||“\oiiint”===e.base.name);(m instanceof O||k)&&(w=-m.italic+“em”)}if(n&&a){u=Math.max(u,i,n.depth+.25*c.xHeight),p=Math.max(p,c.sub2);var S=4*c.defaultRuleThickness;if(u-n.depth-(a.height-p)<S){p=S-(u-n.depth)+a.height;var M=.8*c.xHeight-(u-n.depth);M>0&&(u+=M,p-=M)}var z=;v=je.makeVList({positionType:“individualShift”,children:z},t)}else if(a){p=Math.max(p,c.sub1,a.height-.8*c.xHeight);var A=;v=je.makeVList({positionType:“shift”,positionData:p,children:A},t)}else{if(!n)throw new Error(“supsub must have either sup or sub.”);u=Math.max(u,i,n.depth+.25*c.xHeight),v=je.makeVList({positionType:“shift”,positionData:-u,children:},t)}var T=gt(m,“right”)||“mord”;return je.makeSpan(,[m,je.makeSpan(,[v])],t)},mathmlBuilder:function(e,t){var r,n=!1;e.base&&“horizBrace”===e.base.type&&!!e.sup===e.base.isOver&&(n=!0,r=e.base.isOver),!e.base||“op”!==e.base.type&&“operatorname”!==e.base.type||(e.base.parentIsSupSub=!0);var a,i=;if(e.sub&&i.push(Nt(e.sub,t)),e.sup&&i.push(Nt(e.sup,t)),n)a=r?“mover”:“munder”;else if(e.sub)if(e.sup){var o=e.base;a=o&&“op”===o.type&&o.limits&&t.style===b.DISPLAY||o&&“operatorname”===o.type&&o.alwaysHandleSupSub&&(t.style===b.DISPLAY||o.limits)?“munderover”:“msubsup”}else{var s=e.base;a=s&&“op”===s.type&&s.limits&&(t.style===b.DISPLAY||s.alwaysHandleSupSub)||s&&“operatorname”===s.type&&s.alwaysHandleSupSub&&(s.limits||t.style===b.DISPLAY)?“munder”:“msub”}else{var l=e.base;a=l&&“op”===l.type&&l.limits&&(t.style===b.DISPLAY||l.alwaysHandleSupSub)||l&&“operatorname”===l.type&&l.alwaysHandleSupSub&&(l.limits||t.style===b.DISPLAY)?“mover”:“msup”}return new Mt.MathNode(a,i)}}),at({type:“atom”,htmlBuilder:function(e,t){return je.mathsym(e.text,e.mode,t,)},mathmlBuilder:function(e,t){var r=new Mt.MathNode(“mo”,);if(“bin”===e.family){var n=Tt(e,t);“bold-italic”===n&&r.setAttribute(“mathvariant”,n)}else“punct”===e.family?r.setAttribute(“separator”,“true”):“open”!==e.family&&“close”!==e.family||r.setAttribute(“stretchy”,“false”);return r}});var bn={mi:“italic”,mn:“normal”,mtext:“normal”};at({type:“mathord”,htmlBuilder:function(e,t){return je.makeOrd(e,t,“mathord”)},mathmlBuilder:function(e,t){var r=new Mt.MathNode(“mi”,),n=Tt(e,t)||“italic”;return n!==bn&&r.setAttribute(“mathvariant”,n),r}}),at({type:“textord”,htmlBuilder:function(e,t){return je.makeOrd(e,t,“textord”)},mathmlBuilder:function(e,t){var r,n=zt(e.text,e.mode,t),a=Tt(e,t)||“normal”;return r=“text”===e.mode?new Mt.MathNode(“mtext”,):/[0-9]/.test(e.text)?new Mt.MathNode(“mn”,):“\prime”===e.text?new Mt.MathNode(“mo”,):new Mt.MathNode(“mi”,),a!==bn&&r.setAttribute(“mathvariant”,a),r}});var yn={“\nobreak”:“nobreak”,“\allowbreak”:“allowbreak”},xn={“ ”:{},“\ ”:{},“~”:{className:“nobreak”},“\space”:{},“\nobreakspace”:{className:“nobreak”}};at({type:“spacing”,htmlBuilder:function(e,t){if(xn.hasOwnProperty(e.text)){var r=xn.className||“”;if(“text”===e.mode){var a=je.makeOrd(e,t,“textord”);return a.classes.push®,a}return je.makeSpan(,[je.mathsym(e.text,e.mode,t)],t)}if(yn.hasOwnProperty(e.text))return je.makeSpan([“mspace”,yn],[],t);throw new n('Unknown type of space “'e.text'”')},mathmlBuilder:function(e,t){if(!xn.hasOwnProperty(e.text)){if(yn.hasOwnProperty(e.text))return new Mt.MathNode(“mspace”);throw new n('Unknown type of space “'e.text'”')}return new Mt.MathNode(“mtext”,[new Mt.TextNode(“xa0”)])}});var wn=function(){var e=new Mt.MathNode(“mtd”,[]);return e.setAttribute(“width”,“50%”),e};at({type:“tag”,mathmlBuilder:function(e,t){var r=new Mt.MathNode(“mtable”,[new Mt.MathNode(“mtr”,[wn(),new Mt.MathNode(“mtd”,),wn(),new Mt.MathNode(“mtd”,)])]);return r.setAttribute(“width”,“100%”),r}});var kn={“\text”:void 0,“\textrm”:“textrm”,“\textsf”:“textsf”,“\texttt”:“texttt”,“\textnormal”:“textrm”},Sn={“\textbf”:“textbf”,“\textmd”:“textmd”},Mn={“\textit”:“textit”,“\textup”:“textup”},zn=function(e,t){var r=e.font;return r?kn?t.withTextFontFamily(kn):Sn?t.withTextFontWeight(Sn):t.withTextFontShape(Mn):t};nt({type:“text”,names:,props:{numArgs:1,argTypes:,allowedInArgument:!0,allowedInText:!0},handler:function(e,t){var r=e.parser,n=e.funcName,a=t;return{type:“text”,mode:r.mode,body:ot(a),font:n}},htmlBuilder:function(e,t){var r=zn(e,t),n=ut(e.body,r,!0);return je.makeSpan(,n,r)},mathmlBuilder:function(e,t){var r=zn(e,t);return qt(e.body,r)}}),nt({type:“underline”,names:,props:{numArgs:1,allowedInText:!0},handler:function(e,t){return{type:“underline”,mode:e.parser.mode,body:t}},htmlBuilder:function(e,t){var r=bt(e.body,t),n=je.makeLineSpan(“underline-line”,t),a=t.fontMetrics().defaultRuleThickness,i=je.makeVList({positionType:“top”,positionData:r.height,children:},t);return je.makeSpan(,[i],t)},mathmlBuilder:function(e,t){var r=new Mt.MathNode(“mo”,[new Mt.TextNode(“u203e”)]);r.setAttribute(“stretchy”,“true”);var n=new Mt.MathNode(“munder”,);return n.setAttribute(“accentunder”,“true”),n}}),nt({type:“vcenter”,names:,props:{numArgs:1,argTypes:,allowedInText:!1},handler:function(e,t){return{type:“vcenter”,mode:e.parser.mode,body:t}},htmlBuilder:function(e,t){var r=bt(e.body,t),n=t.fontMetrics().axisHeight,a=.5*(r.height-n-(r.depth+n));return je.makeVList({positionType:“shift”,positionData:a,children:},t)},mathmlBuilder:function(e,t){return new Mt.MathNode(“mpadded”,,[“vcenter”])}}),nt({type:“verb”,names:,props:{numArgs:0,allowedInText:!0},handler:function(e,t,r){throw new n(“\verb ended by end of line instead of matching delimiter”)},htmlBuilder:function(e,t){for(var r=An(e),n=[],a=t.havingStyle(t.style.text()),i=0;i<r.length;i++){var o=r;“~”===o&&(o=“\textasciitilde”),n.push(je.makeSymbol(o,“Typewriter-Regular”,e.mode,a,))}return je.makeSpan(.concat(a.sizingClasses(t)),je.tryCombineChars(n),a)},mathmlBuilder:function(e,t){var r=new Mt.TextNode(An(e)),n=new Mt.MathNode(“mtext”,);return n.setAttribute(“mathvariant”,“monospace”),n}});var An=function(e){return e.body.replace(/ /g,e.star?“u2423”:“xa0”)},Tn=et,Bn=function(){function e(e,t,r){this.lexer=void 0,this.start=void 0,this.end=void 0,this.lexer=e,this.start=t,this.end=r}return e.range=function(t,r){return r?t&&t.loc&&r.loc&&t.loc.lexer===r.loc.lexer?new e(t.loc.lexer,t.loc.start,r.loc.end):null:t&&t.loc},e}(),qn=function(){function e(e,t){this.text=void 0,this.loc=void 0,this.noexpand=void 0,this.treatAsRelax=void 0,this.text=e,this.loc=t}return e.prototype.range=function(t,r){return new e(r,Bn.range(this,t))},e}(),Nn=new RegExp(“^(\\+)[ rnt]*$”),Cn=new RegExp(“+$”),In=function(){function e(e,t){this.input=void 0,this.settings=void 0,this.tokenRegex=void 0,this.catcodes=void 0,this.input=e,this.settings=t,this.tokenRegex=new RegExp(“([ rnt]+)|([!-\[\]-u2027u202a-ud7ffuf900-uffff]*|[ud800-udbff][u0300-u036f]*|\\verb*().*?\3|\\verb().*?\4|\\operatorname*|\\+[ rnt]*|\\[^ud800-udfff])”,“g”),this.catcodes={“%”:14}}var t=e.prototype;return t.setCatcode=function(e,t){this.catcodes=t},t.lex=function(){var e=this.input,t=this.tokenRegex.lastIndex;if(t===e.length)return new qn(“EOF”,new Bn(this,t,t));var r=this.tokenRegex.exec(e);if(null===r||r.index!==t)throw new n(“Unexpected character: '”e[t]“'”,new qn(e,new Bn(this,t,t+1)));var a=r||“ ”;if(14===this.catcodes){var i=e.indexOf(“n”,this.tokenRegex.lastIndex);return-1===i?(this.tokenRegex.lastIndex=e.length,this.settings.reportNonstrict(“commentAtEnd”,“% comment has no terminating newline; LaTeX would fail because of commenting the end of math mode (e.g. $)”)):this.tokenRegex.lastIndex=i+1,this.lex()}var o=a.match(Nn);return o&&(a=o),new qn(a,new Bn(this,t,this.tokenRegex.lastIndex))},e}(),On=function(){function e(e,t){void 0===e&&(e={}),void 0===t&&(t={}),this.current=void 0,this.builtins=void 0,this.undefStack=void 0,this.current=t,this.builtins=e,this.undefStack=[]}var t=e.prototype;return t.beginGroup=function(){this.undefStack.push({})},t.endGroup=function(){if(0===this.undefStack.length)throw new n(“Unbalanced namespace destruction: attempt to pop global namespace; please report this as a bug”);var e=this.undefStack.pop();for(var t in e)e.hasOwnProperty(t)&&(void 0===e?delete this.current:this.current=e)},t.has=function(e){return this.current.hasOwnProperty(e)||this.builtins.hasOwnProperty(e)},t.get=function(e){return this.current.hasOwnProperty(e)?this.current:this.builtins},t.set=function(e,t,r){if(void 0===r&&(r=!1),r){for(var n=0;n<this.undefStack.length;n++)delete this.undefStack[e];this.undefStack.length>0&&(this.undefStack[e]=t)}else{var a=this.undefStack;a&&!a.hasOwnProperty(e)&&(a=this.current)}this.current=t},e}(),Rn={},En=Rn;function Hn(e,t){Rn=t}Hn(“\noexpand”,(function(e){var t=e.popToken();return e.isExpandable(t.text)&&(t.noexpand=!0,t.treatAsRelax=!0),{tokens:,numArgs:0}})),Hn(“\expandafter”,(function(e){var t=e.popToken();return e.expandOnce(!0),{tokens:,numArgs:0}})),Hn(“\@firstoftwo”,(function(e){return{tokens:e.consumeArgs(2),numArgs:0}})),Hn(“\@secondoftwo”,(function(e){return{tokens:e.consumeArgs(2),numArgs:0}})),Hn(“\@ifnextchar”,(function(e){var t=e.consumeArgs(3);e.consumeSpaces();var r=e.future();return 1===t.length&&t[0].text===r.text?{tokens:t,numArgs:0}:{tokens:t,numArgs:0}})),Hn(“\@ifstar”,“\@ifnextchar *{\@firstoftwo{#1}}”),Hn(“\TextOrMath”,(function(e){var t=e.consumeArgs(2);return“text”===e.mode?{tokens:t,numArgs:0}:{tokens:t,numArgs:0}}));var Ln={0:0,1:1,2:2,3:3,4:4,5:5,6:6,7:7,8:8,9:9,a:10,A:10,b:11,B:11,c:12,C:12,d:13,D:13,e:14,E:14,f:15,F:15};Hn(“\char”,(function(e){var t,r=e.popToken(),a=“”;if(“'”===r.text)t=8,r=e.popToken();else if('“'===r.text)t=16,r=e.popToken();else if(”`“===r.text)if(”\“===(r=e.popToken()).text)a=r.text.charCodeAt(1);else{if(”EOF“===r.text)throw new n(”\char` missing argument“);a=r.text.charCodeAt(0)}else t=10;if(t){if(null==(a=Ln)||a>=t)throw new n(”Invalid base-“t” digit “+r.text);for(var i;null!=(i=Ln)&&i<t;)a*=t,a+=i,e.popToken()}return”\@char{“a”}“}));var Dn=function(e,t,r){var a=e.consumeArg().tokens;if(1!==a.length)throw new n(”\newcommand's first argument must be a macro name“);var i=a.text,o=e.isDefined(i);if(o&&!t)throw new n(”\newcommand{“i”} attempting to redefine “i”; use \renewcommand“);if(!o&&!r)throw new n(”\renewcommand{“i”} when command “i” does not yet exist; use \newcommand“);var s=0;if(1===(a=e.consumeArg().tokens).length&&”[“===a.text){for(var l=”“,h=e.expandNextToken();”]“!==h.text&&”EOF“!==h.text;)l+=h.text,h=e.expandNextToken();if(!l.match(/^s*+s*$/))throw new n(”Invalid number of arguments: “+l);s=parseInt(l),a=e.consumeArg().tokens}return e.macros.set(i,{tokens:a,numArgs:s}),”“};Hn(”\newcommand“,(function(e){return Dn(e,!1,!0)})),Hn(”\renewcommand“,(function(e){return Dn(e,!0,!1)})),Hn(”\providecommand“,(function(e){return Dn(e,!0,!0)})),Hn(”\message“,(function(e){var t=e.consumeArgs(1);return console.log(t.reverse().map((function(e){return e.text})).join(”“)),”“})),Hn(”\errmessage“,(function(e){var t=e.consumeArgs(1);return console.error(t.reverse().map((function(e){return e.text})).join(”“)),”“})),Hn(”\show“,(function(e){var t=e.popToken(),r=t.text;return console.log(t,e.macros.get®,Tn,X.math,X.text),”“})),Hn(”\bgroup“,”{“),Hn(”\egroup“,”}“),Hn(”\lq“,”`“),Hn(”\rq“,”'“),Hn(”\aa“,”\r a“),Hn(”\AA“,”\r A“),Hn(”\textcopyright“,”\html@mathml{\textcircled{c}}{\char`xa9}“),Hn(”\copyright“,”\TextOrMath{\textcopyright}{\text{\textcopyright}}“),Hn(”\textregistered“,”\html@mathml{\textcircled{\scriptsize R}}{\char`xae}“),Hn(”u212c“,”\mathscr{B}“),Hn(”u2130“,”\mathscr{E}“),Hn(”u2131“,”\mathscr{F}“),Hn(”u210b“,”\mathscr{H}“),Hn(”u2110“,”\mathscr{I}“),Hn(”u2112“,”\mathscr{L}“),Hn(”u2133“,”\mathscr{M}“),Hn(”u211b“,”\mathscr{R}“),Hn(”u212d“,”\mathfrak{C}“),Hn(”u210c“,”\mathfrak{H}“),Hn(”u2128“,”\mathfrak{Z}“),Hn(”\Bbbk“,”\Bbb{k}“),Hn(”xb7“,”\cdotp“),Hn(”\llap“,”\mathllap{\textrm{#1}}“),Hn(”\rlap“,”\mathrlap{\textrm{#1}}“),Hn(”\clap“,”\mathclap{\textrm{#1}}“),Hn(”\mathstrut“,”\vphantom{(}“),Hn(”\underbar“,”\underline{\text{#1}}“),Hn(”\not“,'\html@mathml{\mathrel{\mathrlap\@not}}{\char”338}'),Hn(“\neq”,“\html@mathml{\mathrel{\not=}}{\mathrel{\char`u2260}}”),Hn(“\ne”,“\neq”),Hn(“u2260”,“\neq”),Hn(“\notin”,“\html@mathml{\mathrel{{\in}\mathllap{/\mskip1mu}}}{\mathrel{\char`u2209}}”),Hn(“u2209”,“\notin”),Hn(“u2258”,“\html@mathml{\mathrel{=\kern{-1em}\raisebox{0.4em}{$\scriptsize\frown$}}}{\mathrel{\char`u2258}}”),Hn(“u2259”,“\html@mathml{\stackrel{\tiny\wedge}{=}}{\mathrel{\char`u2258}}”),Hn(“u225a”,“\html@mathml{\stackrel{\tiny\vee}{=}}{\mathrel{\char`u225a}}”),Hn(“u225b”,“\html@mathml{\stackrel{\scriptsize\star}{=}}{\mathrel{\char`u225b}}”),Hn(“u225d”,“\html@mathml{\stackrel{\tiny\mathrm{def}}{=}}{\mathrel{\char`u225d}}”),Hn(“u225e”,“\html@mathml{\stackrel{\tiny\mathrm{m}}{=}}{\mathrel{\char`u225e}}”),Hn(“u225f”,“\html@mathml{\stackrel{\tiny?}{=}}{\mathrel{\char`u225f}}”),Hn(“u27c2”,“\perp”),Hn(“u203c”,“\mathclose{!\mkern-0.8mu!}”),Hn(“u220c”,“\notni”),Hn(“u231c”,“\ulcorner”),Hn(“u231d”,“\urcorner”),Hn(“u231e”,“\llcorner”),Hn(“u231f”,“\lrcorner”),Hn(“xa9”,“\copyright”),Hn(“xae”,“\textregistered”),Hn(“ufe0f”,“\textregistered”),Hn(“\ulcorner”,'\html@mathml{\@ulcorner}{\mathop{\char“231c}}'),Hn(”\urcorner“,'\html@mathml{\@urcorner}{\mathop{\char”231d}}'),Hn(“\llcorner”,'\html@mathml{\@llcorner}{\mathop{\char“231e}}'),Hn(”\lrcorner“,'\html@mathml{\@lrcorner}{\mathop{\char”231f}}'),Hn(“\vdots”,“\mathord{\varvdots\rule{0pt}{15pt}}”),Hn(“u22ee”,“\vdots”),Hn(“\varGamma”,“\mathit{\Gamma}”),Hn(“\varDelta”,“\mathit{\Delta}”),Hn(“\varTheta”,“\mathit{\Theta}”),Hn(“\varLambda”,“\mathit{\Lambda}”),Hn(“\varXi”,“\mathit{\Xi}”),Hn(“\varPi”,“\mathit{\Pi}”),Hn(“\varSigma”,“\mathit{\Sigma}”),Hn(“\varUpsilon”,“\mathit{\Upsilon}”),Hn(“\varPhi”,“\mathit{\Phi}”),Hn(“\varPsi”,“\mathit{\Psi}”),Hn(“\varOmega”,“\mathit{\Omega}”),Hn(“\substack”,“\begin{subarray}{c}#1\end{subarray}”),Hn(“\colon”,“\nobreak\mskip2mu\mathpunct{}\mathchoice{\mkern-3mu}{\mkern-3mu}{}{}{:}\mskip6mu”),Hn(“\boxed”,“\fbox{$\displaystyle{#1}$}”),Hn(“\iff”,“\DOTSB\;\Longleftrightarrow\;”),Hn(“\implies”,“\DOTSB\;\Longrightarrow\;”),Hn(“\impliedby”,“\DOTSB\;\Longleftarrow\;”);var Pn={“,”:“\dotsc”,“\not”:“\dotsb”,“+”:“\dotsb”,“=”:“\dotsb”,“<”:“\dotsb”,“>”:“\dotsb”,“-”:“\dotsb”,“*”:“\dotsb”,“:”:“\dotsb”,“\DOTSB”:“\dotsb”,“\coprod”:“\dotsb”,“\bigvee”:“\dotsb”,“\bigwedge”:“\dotsb”,“\biguplus”:“\dotsb”,“\bigcap”:“\dotsb”,“\bigcup”:“\dotsb”,“\prod”:“\dotsb”,“\sum”:“\dotsb”,“\bigotimes”:“\dotsb”,“\bigoplus”:“\dotsb”,“\bigodot”:“\dotsb”,“\bigsqcup”:“\dotsb”,“\And”:“\dotsb”,“\longrightarrow”:“\dotsb”,“\Longrightarrow”:“\dotsb”,“\longleftarrow”:“\dotsb”,“\Longleftarrow”:“\dotsb”,“\longleftrightarrow”:“\dotsb”,“\Longleftrightarrow”:“\dotsb”,“\mapsto”:“\dotsb”,“\longmapsto”:“\dotsb”,“\hookrightarrow”:“\dotsb”,“\doteq”:“\dotsb”,“\mathbin”:“\dotsb”,“\mathrel”:“\dotsb”,“\relbar”:“\dotsb”,“\Relbar”:“\dotsb”,“\xrightarrow”:“\dotsb”,“\xleftarrow”:“\dotsb”,“\DOTSI”:“\dotsi”,“\int”:“\dotsi”,“\oint”:“\dotsi”,“\iint”:“\dotsi”,“\iiint”:“\dotsi”,“\iiiint”:“\dotsi”,“\idotsint”:“\dotsi”,“\DOTSX”:“\dotsx”};Hn(“\dots”,(function(e){var t=“\dotso”,r=e.expandAfterFuture().text;return r in Pn?t=Pn:(“\not”===r.substr(0,4)||r in X.math&&l.contains(,X.math.group))&&(t=“\dotsb”),t}));var Fn={“)”:!0,“]”:!0,“\rbrack”:!0,“\}”:!0,“\rbrace”:!0,“\rangle”:!0,“\rceil”:!0,“\rfloor”:!0,“\rgroup”:!0,“\rmoustache”:!0,“\right”:!0,“\bigr”:!0,“\biggr”:!0,“\Bigr”:!0,“\Biggr”:!0,$:!0,“;”:!0,“.”:!0,“,”:!0};Hn(“\dotso”,(function(e){return e.future().text in Fn?“\ldots\,”:“\ldots”})),Hn(“\dotsc”,(function(e){var t=e.future().text;return t in Fn&&“,”!==t?“\ldots\,”:“\ldots”})),Hn(“\cdots”,(function(e){return e.future().text in Fn?“\@cdots\,”:“\@cdots”})),Hn(“\dotsb”,“\cdots”),Hn(“\dotsm”,“\cdots”),Hn(“\dotsi”,“\!\cdots”),Hn(“\dotsx”,“\ldots\,”),Hn(“\DOTSI”,“\relax”),Hn(“\DOTSB”,“\relax”),Hn(“\DOTSX”,“\relax”),Hn(“\tmspace”,“\TextOrMath{\kern#1#3}{\mskip#1#2}\relax”),Hn(“\,”,“\tmspace+{3mu}{.1667em}”),Hn(“\thinspace”,“\,”),Hn(“\>”,“\mskip{4mu}”),Hn(“\:”,“\tmspace+{4mu}{.2222em}”),Hn(“\medspace”,“\:”),Hn(“\;”,“\tmspace+{5mu}{.2777em}”),Hn(“\thickspace”,“\;”),Hn(“\!”,“\tmspace-{3mu}{.1667em}”),Hn(“\negthinspace”,“\!”),Hn(“\negmedspace”,“\tmspace-{4mu}{.2222em}”),Hn(“\negthickspace”,“\tmspace-{5mu}{.277em}”),Hn(“\enspace”,“\kern.5em ”),Hn(“\enskip”,“\hskip.5em\relax”),Hn(“\quad”,“\hskip1em\relax”),Hn(“\qquad”,“\hskip2em\relax”),Hn(“\tag”,“\@ifstar\tag@literal\tag@paren”),Hn(“\tag@paren”,“\tag@literal{({#1})}”),Hn(“\tag@literal”,(function(e){if(e.macros.get(“\df@tag”))throw new n(“Multiple \tag”);return“\gdef\df@tag{\text{#1}}”})),Hn(“\bmod”,“\mathchoice{\mskip1mu}{\mskip1mu}{\mskip5mu}{\mskip5mu}\mathbin{\rm mod}\mathchoice{\mskip1mu}{\mskip1mu}{\mskip5mu}{\mskip5mu}”),Hn(“\pod”,“\allowbreak\mathchoice{\mkern18mu}{\mkern8mu}{\mkern8mu}{\mkern8mu}(#1)”),Hn(“\pmod”,“\pod{{\rm mod}\mkern6mu#1}”),Hn(“\mod”,“\allowbreak\mathchoice{\mkern18mu}{\mkern12mu}{\mkern12mu}{\mkern12mu}{\rm mod}\,\,#1”),Hn(“\pmb”,“\html@mathml{\@binrel{#1}{\mathrlap{#1}\kern0.5px#1}}{\mathbf{#1}}”),Hn(“\newline”,“\\\relax”),Hn(“\TeX”,“\textrm{\html@mathml{T\kern-.1667em\raisebox{-.5ex}{E}\kern-.125emX}{TeX}}”);var Vn=D[“T”.charCodeAt(0)]-.7*D[“A”.charCodeAt(0)]+“em”;Hn(“\LaTeX”,“\textrm{\html@mathml{L\kern-.36em\raisebox{”Vn“}{\scriptstyle A}\kern-.15em\TeX}{LaTeX}}”),Hn(“\KaTeX”,“\textrm{\html@mathml{K\kern-.17em\raisebox{”Vn“}{\scriptstyle A}\kern-.15em\TeX}{KaTeX}}”),Hn(“\hspace”,“\@ifstar\@hspacer\@hspace”),Hn(“\@hspace”,“\hskip #1\relax”),Hn(“\@hspacer”,“\rule{0pt}{0pt}\hskip #1\relax”),Hn(“\ordinarycolon”,“:”),Hn(“\vcentcolon”,“\mathrel{\mathop\ordinarycolon}”),Hn(“\dblcolon”,'\html@mathml{\mathrel{\vcentcolon\mathrel{\mkern-.9mu}\vcentcolon}}{\mathop{\char“2237}}'),Hn(”\coloneqq“,'\html@mathml{\mathrel{\vcentcolon\mathrel{\mkern-1.2mu}=}}{\mathop{\char”2254}}'),Hn(“\Coloneqq”,'\html@mathml{\mathrel{\dblcolon\mathrel{\mkern-1.2mu}=}}{\mathop{\char“2237\char”3d}}'),Hn(“\coloneq”,'\html@mathml{\mathrel{\vcentcolon\mathrel{\mkern-1.2mu}\mathrel{-}}}{\mathop{\char“3a\char”2212}}'),Hn(“\Coloneq”,'\html@mathml{\mathrel{\dblcolon\mathrel{\mkern-1.2mu}\mathrel{-}}}{\mathop{\char“2237\char”2212}}'),Hn(“\eqqcolon”,'\html@mathml{\mathrel{=\mathrel{\mkern-1.2mu}\vcentcolon}}{\mathop{\char“2255}}'),Hn(”\Eqqcolon“,'\html@mathml{\mathrel{=\mathrel{\mkern-1.2mu}\dblcolon}}{\mathop{\char”3d\char“2237}}'),Hn(”\eqcolon“,'\html@mathml{\mathrel{\mathrel{-}\mathrel{\mkern-1.2mu}\vcentcolon}}{\mathop{\char”2239}}'),Hn(“\Eqcolon”,'\html@mathml{\mathrel{\mathrel{-}\mathrel{\mkern-1.2mu}\dblcolon}}{\mathop{\char“2212\char”2237}}'),Hn(“\colonapprox”,'\html@mathml{\mathrel{\vcentcolon\mathrel{\mkern-1.2mu}\approx}}{\mathop{\char“3a\char”2248}}'),Hn(“\Colonapprox”,'\html@mathml{\mathrel{\dblcolon\mathrel{\mkern-1.2mu}\approx}}{\mathop{\char“2237\char”2248}}'),Hn(“\colonsim”,'\html@mathml{\mathrel{\vcentcolon\mathrel{\mkern-1.2mu}\sim}}{\mathop{\char“3a\char”223c}}'),Hn(“\Colonsim”,'\html@mathml{\mathrel{\dblcolon\mathrel{\mkern-1.2mu}\sim}}{\mathop{\char“2237\char”223c}}'),Hn(“u2237”,“\dblcolon”),Hn(“u2239”,“\eqcolon”),Hn(“u2254”,“\coloneqq”),Hn(“u2255”,“\eqqcolon”),Hn(“u2a74”,“\Coloneqq”),Hn(“\ratio”,“\vcentcolon”),Hn(“\coloncolon”,“\dblcolon”),Hn(“\colonequals”,“\coloneqq”),Hn(“\coloncolonequals”,“\Coloneqq”),Hn(“\equalscolon”,“\eqqcolon”),Hn(“\equalscoloncolon”,“\Eqqcolon”),Hn(“\colonminus”,“\coloneq”),Hn(“\coloncolonminus”,“\Coloneq”),Hn(“\minuscolon”,“\eqcolon”),Hn(“\minuscoloncolon”,“\Eqcolon”),Hn(“\coloncolonapprox”,“\Colonapprox”),Hn(“\coloncolonsim”,“\Colonsim”),Hn(“\simcolon”,“\mathrel{\sim\mathrel{\mkern-1.2mu}\vcentcolon}”),Hn(“\simcoloncolon”,“\mathrel{\sim\mathrel{\mkern-1.2mu}\dblcolon}”),Hn(“\approxcolon”,“\mathrel{\approx\mathrel{\mkern-1.2mu}\vcentcolon}”),Hn(“\approxcoloncolon”,“\mathrel{\approx\mathrel{\mkern-1.2mu}\dblcolon}”),Hn(“\notni”,“\html@mathml{\not\ni}{\mathrel{\char`u220c}}”),Hn(“\limsup”,“\DOTSB\operatorname*{lim\,sup}”),Hn(“\liminf”,“\DOTSB\operatorname*{lim\,inf}”),Hn(“\injlim”,“\DOTSB\operatorname*{inj\,lim}”),Hn(“\projlim”,“\DOTSB\operatorname*{proj\,lim}”),Hn(“\varlimsup”,“\DOTSB\operatorname*{\overline{lim}}”),Hn(“\varliminf”,“\DOTSB\operatorname*{\underline{lim}}”),Hn(“\varinjlim”,“\DOTSB\operatorname*{\underrightarrow{lim}}”),Hn(“\varprojlim”,“\DOTSB\operatorname*{\underleftarrow{lim}}”),Hn(“\gvertneqq”,“\html@mathml{\@gvertneqq}{u2269}”),Hn(“\lvertneqq”,“\html@mathml{\@lvertneqq}{u2268}”),Hn(“\ngeqq”,“\html@mathml{\@ngeqq}{u2271}”),Hn(“\ngeqslant”,“\html@mathml{\@ngeqslant}{u2271}”),Hn(“\nleqq”,“\html@mathml{\@nleqq}{u2270}”),Hn(“\nleqslant”,“\html@mathml{\@nleqslant}{u2270}”),Hn(“\nshortmid”,“\html@mathml{\@nshortmid}{u2224}”),Hn(“\nshortparallel”,“\html@mathml{\@nshortparallel}{u2226}”),Hn(“\nsubseteqq”,“\html@mathml{\@nsubseteqq}{u2288}”),Hn(“\nsupseteqq”,“\html@mathml{\@nsupseteqq}{u2289}”),Hn(“\varsubsetneq”,“\html@mathml{\@varsubsetneq}{u228a}”),Hn(“\varsubsetneqq”,“\html@mathml{\@varsubsetneqq}{u2acb}”),Hn(“\varsupsetneq”,“\html@mathml{\@varsupsetneq}{u228b}”),Hn(“\varsupsetneqq”,“\html@mathml{\@varsupsetneqq}{u2acc}”),Hn(“\imath”,“\html@mathml{\@imath}{u0131}”),Hn(“\jmath”,“\html@mathml{\@jmath}{u0237}”),Hn(“\llbracket”,“\html@mathml{\mathopen{[\mkern-3.2mu\mkern-3.2mu]}}{\mathclose{\char`u27e7}}”),Hn(“u27e6”,“\llbracket”),Hn(“u27e7”,“\rrbracket”),Hn(“\lBrace”,“\html@mathml{\mathopen{\{\mkern-3.2mu\mkern-3.2mu\}}}{\mathclose{\char`u2984}}”),Hn(“u2983”,“\lBrace”),Hn(“u2984”,“\rBrace”),Hn(“\minuso”,“\mathbin{\html@mathml{{\mathrlap{\mathchoice{\kern{0.145em}}{\kern{0.145em}}{\kern{0.1015em}}{\kern{0.0725em}}\circ}{-}}}{\char`u29b5}}”),Hn(“u29b5”,“\minuso”),Hn(“\darr”,“\downarrow”),Hn(“\dArr”,“\Downarrow”),Hn(“\Darr”,“\Downarrow”),Hn(“\lang”,“\langle”),Hn(“\rang”,“\rangle”),Hn(“\uarr”,“\uparrow”),Hn(“\uArr”,“\Uparrow”),Hn(“\Uarr”,“\Uparrow”),Hn(“\N”,“\mathbb{N}”),Hn(“\R”,“\mathbb{R}”),Hn(“\Z”,“\mathbb{Z}”),Hn(“\alef”,“\aleph”),Hn(“\alefsym”,“\aleph”),Hn(“\Alpha”,“\mathrm{A}”),Hn(“\Beta”,“\mathrm{B}”),Hn(“\bull”,“\bullet”),Hn(“\Chi”,“\mathrm{X}”),Hn(“\clubs”,“\clubsuit”),Hn(“\cnums”,“\mathbb{C}”),Hn(“\Complex”,“\mathbb{C}”),Hn(“\Dagger”,“\ddagger”),Hn(“\diamonds”,“\diamondsuit”),Hn(“\empty”,“\emptyset”),Hn(“\Epsilon”,“\mathrm{E}”),Hn(“\Eta”,“\mathrm{H}”),Hn(“\exist”,“\exists”),Hn(“\harr”,“\leftrightarrow”),Hn(“\hArr”,“\Leftrightarrow”),Hn(“\Harr”,“\Leftrightarrow”),Hn(“\hearts”,“\heartsuit”),Hn(“\image”,“\Im”),Hn(“\infin”,“\infty”),Hn(“\Iota”,“\mathrm{I}”),Hn(“\isin”,“\in”),Hn(“\Kappa”,“\mathrm{K}”),Hn(“\larr”,“\leftarrow”),Hn(“\lArr”,“\Leftarrow”),Hn(“\Larr”,“\Leftarrow”),Hn(“\lrarr”,“\leftrightarrow”),Hn(“\lrArr”,“\Leftrightarrow”),Hn(“\Lrarr”,“\Leftrightarrow”),Hn(“\Mu”,“\mathrm{M}”),Hn(“\natnums”,“\mathbb{N}”),Hn(“\Nu”,“\mathrm{N}”),Hn(“\Omicron”,“\mathrm{O}”),Hn(“\plusmn”,“\pm”),Hn(“\rarr”,“\rightarrow”),Hn(“\rArr”,“\Rightarrow”),Hn(“\Rarr”,“\Rightarrow”),Hn(“\real”,“\Re”),Hn(“\reals”,“\mathbb{R}”),Hn(“\Reals”,“\mathbb{R}”),Hn(“\Rho”,“\mathrm{P}”),Hn(“\sdot”,“\cdot”),Hn(“\sect”,“\S”),Hn(“\spades”,“\spadesuit”),Hn(“\sub”,“\subset”),Hn(“\sube”,“\subseteq”),Hn(“\supe”,“\supseteq”),Hn(“\Tau”,“\mathrm{T}”),Hn(“\thetasym”,“\vartheta”),Hn(“\weierp”,“\wp”),Hn(“\Zeta”,“\mathrm{Z}”),Hn(“\argmin”,“\DOTSB\operatorname*{arg\,min}”),Hn(“\argmax”,“\DOTSB\operatorname*{arg\,max}”),Hn(“\plim”,“\DOTSB\mathop{\operatorname{plim}}\limits”),Hn(“\bra”,“\mathinner{\langle{#1}|}”),Hn(“\ket”,“\mathinner{|{#1}\rangle}”),Hn(“\braket”,“\mathinner{\langle{#1}\rangle}”),Hn(“\Bra”,“\left\langle#1\right|”),Hn(“\Ket”,“\left|#1\right\rangle”),Hn(“\angln”,“{\angl n}”),Hn(“\blue”,“\textcolor{##6495ed}{#1}”),Hn(“\orange”,“\textcolor{##ffa500}{#1}”),Hn(“\pink”,“\textcolor{##ff00af}{#1}”),Hn(“\red”,“\textcolor{##df0030}{#1}”),Hn(“\green”,“\textcolor{##28ae7b}{#1}”),Hn(“\gray”,“\textcolor{gray}{#1}”),Hn(“\purple”,“\textcolor{##9d38bd}{#1}”),Hn(“\blueA”,“\textcolor{##ccfaff}{#1}”),Hn(“\blueB”,“\textcolor{##80f6ff}{#1}”),Hn(“\blueC”,“\textcolor{##63d9ea}{#1}”),Hn(“\blueD”,“\textcolor{##11accd}{#1}”),Hn(“\blueE”,“\textcolor{##0c7f99}{#1}”),Hn(“\tealA”,“\textcolor{##94fff5}{#1}”),Hn(“\tealB”,“\textcolor{##26edd5}{#1}”),Hn(“\tealC”,“\textcolor{##01d1c1}{#1}”),Hn(“\tealD”,“\textcolor{##01a995}{#1}”),Hn(“\tealE”,“\textcolor{##208170}{#1}”),Hn(“\greenA”,“\textcolor{##b6ffb0}{#1}”),Hn(“\greenB”,“\textcolor{##8af281}{#1}”),Hn(“\greenC”,“\textcolor{##74cf70}{#1}”),Hn(“\greenD”,“\textcolor{##1fab54}{#1}”),Hn(“\greenE”,“\textcolor{##0d923f}{#1}”),Hn(“\goldA”,“\textcolor{##ffd0a9}{#1}”),Hn(“\goldB”,“\textcolor{##ffbb71}{#1}”),Hn(“\goldC”,“\textcolor{##ff9c39}{#1}”),Hn(“\goldD”,“\textcolor{##e07d10}{#1}”),Hn(“\goldE”,“\textcolor{##a75a05}{#1}”),Hn(“\redA”,“\textcolor{##fca9a9}{#1}”),Hn(“\redB”,“\textcolor{##ff8482}{#1}”),Hn(“\redC”,“\textcolor{##f9685d}{#1}”),Hn(“\redD”,“\textcolor{##e84d39}{#1}”),Hn(“\redE”,“\textcolor{##bc2612}{#1}”),Hn(“\maroonA”,“\textcolor{##ffbde0}{#1}”),Hn(“\maroonB”,“\textcolor{##ff92c6}{#1}”),Hn(“\maroonC”,“\textcolor{##ed5fa6}{#1}”),Hn(“\maroonD”,“\textcolor{##ca337c}{#1}”),Hn(“\maroonE”,“\textcolor{##9e034e}{#1}”),Hn(“\purpleA”,“\textcolor{##ddd7ff}{#1}”),Hn(“\purpleB”,“\textcolor{##c6b9fc}{#1}”),Hn(“\purpleC”,“\textcolor{##aa87ff}{#1}”),Hn(“\purpleD”,“\textcolor{##7854ab}{#1}”),Hn(“\purpleE”,“\textcolor{##543b78}{#1}”),Hn(“\mintA”,“\textcolor{##f5f9e8}{#1}”),Hn(“\mintB”,“\textcolor{##edf2df}{#1}”),Hn(“\mintC”,“\textcolor{##e0e5cc}{#1}”),Hn(“\grayA”,“\textcolor{##f6f7f7}{#1}”),Hn(“\grayB”,“\textcolor{##f0f1f2}{#1}”),Hn(“\grayC”,“\textcolor{##e3e5e6}{#1}”),Hn(“\grayD”,“\textcolor{##d6d8da}{#1}”),Hn(“\grayE”,“\textcolor{##babec2}{#1}”),Hn(“\grayF”,“\textcolor{##888d93}{#1}”),Hn(“\grayG”,“\textcolor{##626569}{#1}”),Hn(“\grayH”,“\textcolor{##3b3e40}{#1}”),Hn(“\grayI”,“\textcolor{##21242c}{#1}”),Hn(“\kaBlue”,“\textcolor{##314453}{#1}”),Hn(“\kaGreen”,“\textcolor{##71B307}{#1}”);var Gn={“\relax”:!0,“^”:!0,_:!0,“\limits”:!0,“\nolimits”:!0},Un=function(){function e(e,t,r){this.settings=void 0,this.expansionCount=void 0,this.lexer=void 0,this.macros=void 0,this.stack=void 0,this.mode=void 0,this.settings=t,this.expansionCount=0,this.feed(e),this.macros=new On(En,t.macros),this.mode=r,this.stack=[]}var t=e.prototype;return t.feed=function(e){this.lexer=new In(e,this.settings)},t.switchMode=function(e){this.mode=e},t.beginGroup=function(){this.macros.beginGroup()},t.endGroup=function(){this.macros.endGroup()},t.future=function(){return 0===this.stack.length&&this.pushToken(this.lexer.lex()),this.stack},t.popToken=function(){return this.future(),this.stack.pop()},t.pushToken=function(e){this.stack.push(e)},t.pushTokens=function(e){var t;(t=this.stack).push.apply(t,e)},t.scanArgument=function(e){var t,r,n;if(e){if(this.consumeSpaces(),“[”!==this.future().text)return null;t=this.popToken();var a=this.consumeArg(“]);n=a.tokens,r=a.end}else{var i=this.consumeArg();n=i.tokens,t=i.start,r=i.end}return this.pushToken(new qn(”EOF“,r.loc)),this.pushTokens(n),t.range(r,”“)},t.consumeSpaces=function(){for(;;){if(” “!==this.future().text)break;this.stack.pop()}},t.consumeArg=function(e){var t=[],r=e&&e.length>0;r||this.consumeSpaces();var a,i=this.future(),o=0,s=0;do{if(a=this.popToken(),t.push(a),”{“===a.text)++o;else if(”}“===a.text){if(-1===–o)throw new n(”Extra }“,a)}else if(”EOF“===a.text)throw new n(”Unexpected end of input in a macro argument, expected '“+(e&&r?e:”}“)+”'“,a);if(e&&r)if((0===o||1===o&&”{“===e)&&a.text===e){if(++s===e.length){t.splice(-s,s);break}}else s=0}while(0!==o||r);return”{“===i.text&&”}“===t.text&&(t.pop(),t.shift()),t.reverse(),{tokens:t,start:i,end:a}},t.consumeArgs=function(e,t){if(t){if(t.length!==e+1)throw new n(”The length of delimiters doesn't match the number of args!“);for(var r=t,a=0;a<r.length;a++){var i=this.popToken();if(r!==i.text)throw new n(”Use of the macro doesn't match its definition“,i)}}for(var o=[],s=0;s).tokens);return o},t.expandOnce=function(e){var t=this.popToken(),r=t.text,a=t.noexpand?null:this._getExpansion®;if(null==a||e&&a.unexpandable){if(e&&null==a&&”\“===r&&!this.isDefined®)throw new n(”Undefined control sequence: “+r);return this.pushToken(t),t}if(this.expansionCount++,this.expansionCount>this.settings.maxExpand)throw new n(”Too many expansions: infinite loop or need to increase maxExpand setting“);var i=a.tokens,o=this.consumeArgs(a.numArgs,a.delimiters);if(a.numArgs)for(var s=(i=i.slice()).length-1;s>=0;–s){var l=i;if(”#“===l.text){if(0===s)throw new n(”Incomplete placeholder at end of macro body“,l);if(”#“===(l=i).text)i.splice(s+1,1);else{if(!/^$/.test(l.text))throw new n(”Not a valid argument number“,l);var h;(h=i).splice.apply(h,.concat(o))}}}return this.pushTokens(i),i},t.expandAfterFuture=function(){return this.expandOnce(),this.future()},t.expandNextToken=function(){for(;;){var e=this.expandOnce();if(e instanceof qn){if(”\relax“!==e.text&&!e.treatAsRelax)return this.stack.pop();this.stack.pop()}}throw new Error},t.expandMacro=function(e){return this.macros.has(e)?this.expandTokens([new qn(e)]):void 0},t.expandTokens=function(e){var t=[],r=this.stack.length;for(this.pushTokens(e);this.stack.length>r;){var n=this.expandOnce(!0);n instanceof qn&&(n.treatAsRelax&&(n.noexpand=!1,n.treatAsRelax=!1),t.push(this.stack.pop()))}return t},t.expandMacroAsText=function(e){var t=this.expandMacro(e);return t?t.map((function(e){return e.text})).join(”“):t},t._getExpansion=function(e){var t=this.macros.get(e);if(null==t)return t;var r=”function“==typeof t?t(this):t;if(”string“==typeof r){var n=0;if(-1!==r.indexOf(”#“))for(var a=r.replace(/##/g,”“);-1!==a.indexOf(”#“+(n+1));)++n;for(var i=new In(r,this.settings),o=[],s=i.lex();”EOF“!==s.text;)o.push(s),s=i.lex();return o.reverse(),{tokens:o,numArgs:n}}return r},t.isDefined=function(e){return this.macros.has(e)||Tn.hasOwnProperty(e)||X.math.hasOwnProperty(e)||X.text.hasOwnProperty(e)||Gn.hasOwnProperty(e)},t.isExpandable=function(e){var t=this.macros.get(e);return null!=t?”string“==typeof t||”function“==typeof t||!t.unexpandable:Tn.hasOwnProperty(e)&&!Tn.primitive},e}(),Yn={”u0301“:{text:”\'“,math:”\acute“},”u0300“:{text:”\`“,math:”\grave“},”u0308“:{text:'\”',math:“\ddot”},“u0303”:{text:“\~”,math:“\tilde”},“u0304”:{text:“\=”,math:“\bar”},“u0306”:{text:“\u”,math:“\breve”},“u030c”:{text:“\v”,math:“\check”},“u0302”:{text:“\^”,math:“\hat”},“u0307”:{text:“\.”,math:“\dot”},“u030a”:{text:“\r”,math:“\mathring”},“u030b”:{text:“\H”}},Wn={“xe1”:“au0301”,“xe0”:“au0300”,“xe4”:“au0308”,“u01df”:“au0308u0304”,“xe3”:“au0303”,“u0101”:“au0304”,“u0103”:“au0306”,“u1eaf”:“au0306u0301”,“u1eb1”:“au0306u0300”,“u1eb5”:“au0306u0303”,“u01ce”:“au030c”,“xe2”:“au0302”,“u1ea5”:“au0302u0301”,“u1ea7”:“au0302u0300”,“u1eab”:“au0302u0303”,“u0227”:“au0307”,“u01e1”:“au0307u0304”,“xe5”:“au030a”,“u01fb”:“au030au0301”,“u1e03”:“bu0307”,“u0107”:“cu0301”,“u010d”:“cu030c”,“u0109”:“cu0302”,“u010b”:“cu0307”,“u010f”:“du030c”,“u1e0b”:“du0307”,“xe9”:“eu0301”,“xe8”:“eu0300”,“xeb”:“eu0308”,“u1ebd”:“eu0303”,“u0113”:“eu0304”,“u1e17”:“eu0304u0301”,“u1e15”:“eu0304u0300”,“u0115”:“eu0306”,“u011b”:“eu030c”,“xea”:“eu0302”,“u1ebf”:“eu0302u0301”,“u1ec1”:“eu0302u0300”,“u1ec5”:“eu0302u0303”,“u0117”:“eu0307”,“u1e1f”:“fu0307”,“u01f5”:“gu0301”,“u1e21”:“gu0304”,“u011f”:“gu0306”,“u01e7”:“gu030c”,“u011d”:“gu0302”,“u0121”:“gu0307”,“u1e27”:“hu0308”,“u021f”:“hu030c”,“u0125”:“hu0302”,“u1e23”:“hu0307”,“xed”:“iu0301”,“xec”:“iu0300”,“xef”:“iu0308”,“u1e2f”:“iu0308u0301”,“u0129”:“iu0303”,“u012b”:“iu0304”,“u012d”:“iu0306”,“u01d0”:“iu030c”,“xee”:“iu0302”,“u01f0”:“ju030c”,“u0135”:“ju0302”,“u1e31”:“ku0301”,“u01e9”:“ku030c”,“u013a”:“lu0301”,“u013e”:“lu030c”,“u1e3f”:“mu0301”,“u1e41”:“mu0307”,“u0144”:“nu0301”,“u01f9”:“nu0300”,“xf1”:“nu0303”,“u0148”:“nu030c”,“u1e45”:“nu0307”,“xf3”:“ou0301”,“xf2”:“ou0300”,“xf6”:“ou0308”,“u022b”:“ou0308u0304”,“xf5”:“ou0303”,“u1e4d”:“ou0303u0301”,“u1e4f”:“ou0303u0308”,“u022d”:“ou0303u0304”,“u014d”:“ou0304”,“u1e53”:“ou0304u0301”,“u1e51”:“ou0304u0300”,“u014f”:“ou0306”,“u01d2”:“ou030c”,“xf4”:“ou0302”,“u1ed1”:“ou0302u0301”,“u1ed3”:“ou0302u0300”,“u1ed7”:“ou0302u0303”,“u022f”:“ou0307”,“u0231”:“ou0307u0304”,“u0151”:“ou030b”,“u1e55”:“pu0301”,“u1e57”:“pu0307”,“u0155”:“ru0301”,“u0159”:“ru030c”,“u1e59”:“ru0307”,“u015b”:“su0301”,“u1e65”:“su0301u0307”,“u0161”:“su030c”,“u1e67”:“su030cu0307”,“u015d”:“su0302”,“u1e61”:“su0307”,“u1e97”:“tu0308”,“u0165”:“tu030c”,“u1e6b”:“tu0307”,“xfa”:“uu0301”,“xf9”:“uu0300”,“xfc”:“uu0308”,“u01d8”:“uu0308u0301”,“u01dc”:“uu0308u0300”,“u01d6”:“uu0308u0304”,“u01da”:“uu0308u030c”,“u0169”:“uu0303”,“u1e79”:“uu0303u0301”,“u016b”:“uu0304”,“u1e7b”:“uu0304u0308”,“u016d”:“uu0306”,“u01d4”:“uu030c”,“xfb”:“uu0302”,“u016f”:“uu030a”,“u0171”:“uu030b”,“u1e7d”:“vu0303”,“u1e83”:“wu0301”,“u1e81”:“wu0300”,“u1e85”:“wu0308”,“u0175”:“wu0302”,“u1e87”:“wu0307”,“u1e98”:“wu030a”,“u1e8d”:“xu0308”,“u1e8b”:“xu0307”,“xfd”:“yu0301”,“u1ef3”:“yu0300”,“xff”:“yu0308”,“u1ef9”:“yu0303”,“u0233”:“yu0304”,“u0177”:“yu0302”,“u1e8f”:“yu0307”,“u1e99”:“yu030a”,“u017a”:“zu0301”,“u017e”:“zu030c”,“u1e91”:“zu0302”,“u017c”:“zu0307”,“xc1”:“Au0301”,“xc0”:“Au0300”,“xc4”:“Au0308”,“u01de”:“Au0308u0304”,“xc3”:“Au0303”,“u0100”:“Au0304”,“u0102”:“Au0306”,“u1eae”:“Au0306u0301”,“u1eb0”:“Au0306u0300”,“u1eb4”:“Au0306u0303”,“u01cd”:“Au030c”,“xc2”:“Au0302”,“u1ea4”:“Au0302u0301”,“u1ea6”:“Au0302u0300”,“u1eaa”:“Au0302u0303”,“u0226”:“Au0307”,“u01e0”:“Au0307u0304”,“xc5”:“Au030a”,“u01fa”:“Au030au0301”,“u1e02”:“Bu0307”,“u0106”:“Cu0301”,“u010c”:“Cu030c”,“u0108”:“Cu0302”,“u010a”:“Cu0307”,“u010e”:“Du030c”,“u1e0a”:“Du0307”,“xc9”:“Eu0301”,“xc8”:“Eu0300”,“xcb”:“Eu0308”,“u1ebc”:“Eu0303”,“u0112”:“Eu0304”,“u1e16”:“Eu0304u0301”,“u1e14”:“Eu0304u0300”,“u0114”:“Eu0306”,“u011a”:“Eu030c”,“xca”:“Eu0302”,“u1ebe”:“Eu0302u0301”,“u1ec0”:“Eu0302u0300”,“u1ec4”:“Eu0302u0303”,“u0116”:“Eu0307”,“u1e1e”:“Fu0307”,“u01f4”:“Gu0301”,“u1e20”:“Gu0304”,“u011e”:“Gu0306”,“u01e6”:“Gu030c”,“u011c”:“Gu0302”,“u0120”:“Gu0307”,“u1e26”:“Hu0308”,“u021e”:“Hu030c”,“u0124”:“Hu0302”,“u1e22”:“Hu0307”,“xcd”:“Iu0301”,“xcc”:“Iu0300”,“xcf”:“Iu0308”,“u1e2e”:“Iu0308u0301”,“u0128”:“Iu0303”,“u012a”:“Iu0304”,“u012c”:“Iu0306”,“u01cf”:“Iu030c”,“xce”:“Iu0302”,“u0130”:“Iu0307”,“u0134”:“Ju0302”,“u1e30”:“Ku0301”,“u01e8”:“Ku030c”,“u0139”:“Lu0301”,“u013d”:“Lu030c”,“u1e3e”:“Mu0301”,“u1e40”:“Mu0307”,“u0143”:“Nu0301”,“u01f8”:“Nu0300”,“xd1”:“Nu0303”,“u0147”:“Nu030c”,“u1e44”:“Nu0307”,“xd3”:“Ou0301”,“xd2”:“Ou0300”,“xd6”:“Ou0308”,“u022a”:“Ou0308u0304”,“xd5”:“Ou0303”,“u1e4c”:“Ou0303u0301”,“u1e4e”:“Ou0303u0308”,“u022c”:“Ou0303u0304”,“u014c”:“Ou0304”,“u1e52”:“Ou0304u0301”,“u1e50”:“Ou0304u0300”,“u014e”:“Ou0306”,“u01d1”:“Ou030c”,“xd4”:“Ou0302”,“u1ed0”:“Ou0302u0301”,“u1ed2”:“Ou0302u0300”,“u1ed6”:“Ou0302u0303”,“u022e”:“Ou0307”,“u0230”:“Ou0307u0304”,“u0150”:“Ou030b”,“u1e54”:“Pu0301”,“u1e56”:“Pu0307”,“u0154”:“Ru0301”,“u0158”:“Ru030c”,“u1e58”:“Ru0307”,“u015a”:“Su0301”,“u1e64”:“Su0301u0307”,“u0160”:“Su030c”,“u1e66”:“Su030cu0307”,“u015c”:“Su0302”,“u1e60”:“Su0307”,“u0164”:“Tu030c”,“u1e6a”:“Tu0307”,“xda”:“Uu0301”,“xd9”:“Uu0300”,“xdc”:“Uu0308”,“u01d7”:“Uu0308u0301”,“u01db”:“Uu0308u0300”,“u01d5”:“Uu0308u0304”,“u01d9”:“Uu0308u030c”,“u0168”:“Uu0303”,“u1e78”:“Uu0303u0301”,“u016a”:“Uu0304”,“u1e7a”:“Uu0304u0308”,“u016c”:“Uu0306”,“u01d3”:“Uu030c”,“xdb”:“Uu0302”,“u016e”:“Uu030a”,“u0170”:“Uu030b”,“u1e7c”:“Vu0303”,“u1e82”:“Wu0301”,“u1e80”:“Wu0300”,“u1e84”:“Wu0308”,“u0174”:“Wu0302”,“u1e86”:“Wu0307”,“u1e8c”:“Xu0308”,“u1e8a”:“Xu0307”,“xdd”:“Yu0301”,“u1ef2”:“Yu0300”,“u0178”:“Yu0308”,“u1ef8”:“Yu0303”,“u0232”:“Yu0304”,“u0176”:“Yu0302”,“u1e8e”:“Yu0307”,“u0179”:“Zu0301”,“u017d”:“Zu030c”,“u1e90”:“Zu0302”,“u017b”:“Zu0307”,“u03ac”:“u03b1u0301”,“u1f70”:“u03b1u0300”,“u1fb1”:“u03b1u0304”,“u1fb0”:“u03b1u0306”,“u03ad”:“u03b5u0301”,“u1f72”:“u03b5u0300”,“u03ae”:“u03b7u0301”,“u1f74”:“u03b7u0300”,“u03af”:“u03b9u0301”,“u1f76”:“u03b9u0300”,“u03ca”:“u03b9u0308”,“u0390”:“u03b9u0308u0301”,“u1fd2”:“u03b9u0308u0300”,“u1fd1”:“u03b9u0304”,“u1fd0”:“u03b9u0306”,“u03cc”:“u03bfu0301”,“u1f78”:“u03bfu0300”,“u03cd”:“u03c5u0301”,“u1f7a”:“u03c5u0300”,“u03cb”:“u03c5u0308”,“u03b0”:“u03c5u0308u0301”,“u1fe2”:“u03c5u0308u0300”,“u1fe1”:“u03c5u0304”,“u1fe0”:“u03c5u0306”,“u03ce”:“u03c9u0301”,“u1f7c”:“u03c9u0300”,“u038e”:“u03a5u0301”,“u1fea”:“u03a5u0300”,“u03ab”:“u03a5u0308”,“u1fe9”:“u03a5u0304”,“u1fe8”:“u03a5u0306”,“u038f”:“u03a9u0301”,“u1ffa”:“u03a9u0300”},Xn=function(){function e(e,t){this.mode=void 0,this.gullet=void 0,this.settings=void 0,this.leftrightDepth=void 0,this.nextToken=void 0,this.mode=“math”,this.gullet=new Un(e,t,this.mode),this.settings=t,this.leftrightDepth=0}var t=e.prototype;return t.expect=function(e,t){if(void 0===t&&(t=!0),this.fetch().text!==e)throw new n(“Expected '”e“', got '”+this.fetch().text+“'”,this.fetch());t&&this.consume()},t.consume=function(){this.nextToken=null},t.fetch=function(){return null==this.nextToken&&(this.nextToken=this.gullet.expandNextToken()),this.nextToken},t.switchMode=function(e){this.mode=e,this.gullet.switchMode(e)},t.parse=function(){this.settings.globalGroup||this.gullet.beginGroup(),this.settings.colorIsTextColor&&this.gullet.macros.set(“\color”,“\textcolor”);var e=this.parseExpression(!1);return this.expect(“EOF”),this.settings.globalGroup||this.gullet.endGroup(),e},t.parseExpression=function(t,r){for(var n=[];;){“math”===this.mode&&this.consumeSpaces();var a=this.fetch();if(-1!==e.endOfExpression.indexOf(a.text))break;if(r&&a.text===r)break;if(t&&Tn&&Tn.infix)break;var i=this.parseAtom®;if(!i)break;“internal”!==i.type&&n.push(i)}return“text”===this.mode&&this.formLigatures(n),this.handleInfixNodes(n)},t.handleInfixNodes=function(e){for(var t,r=-1,a=0;a.type){if(-1!==r)throw new n(“only one infix operator per group”,e.token);r=a,t=e.replaceWith}if(-1!==r&&t){var i,o,s=e.slice(0,r),l=e.slice(r+1);return i=1===s.length&&“ordgroup”===s.type?s:{type:“ordgroup”,mode:this.mode,body:s},o=1===l.length&&“ordgroup”===l.type?l:{type:“ordgroup”,mode:this.mode,body:l},[“\\abovefrac”===t?this.callFunction(t,[i,e,o],[]):this.callFunction(t,,[])]}return e},t.handleSupSubscript=function(e){var t=this.fetch(),r=t.text;this.consume(),this.consumeSpaces();var a=this.parseGroup(e);if(!a)throw new n(“Expected group after '”r“'”,t);return a},t.formatUnsupportedCmd=function(e){for(var t=[],r=0;r});var n={type:“text”,mode:this.mode,body:t};return{type:“color”,mode:this.mode,color:this.settings.errorColor,body:}},t.parseAtom=function(e){var t,r,a=this.parseGroup(“atom”,e);if(“text”===this.mode)return a;for(;;){this.consumeSpaces();var i=this.fetch();if(“\limits”===i.text||“\nolimits”===i.text){if(a&&“op”===a.type){var o=“\limits”===i.text;a.limits=o,a.alwaysHandleSupSub=!0}else{if(!a||“operatorname”!==a.type||!a.alwaysHandleSupSub)throw new n(“Limit controls must follow a math operator”,i);var s=“\limits”===i.text;a.limits=s}this.consume()}else if(“^”===i.text){if(t)throw new n(“Double superscript”,i);t=this.handleSupSubscript(“superscript”)}else if(“_”===i.text){if®throw new n(“Double subscript”,i);r=this.handleSupSubscript(“subscript”)}else{if(“'”!==i.text)break;if(t)throw new n(“Double superscript”,i);var l={type:“textord”,mode:this.mode,text:“\prime”},h=;for(this.consume();“'”===this.fetch().text;)h.push(l),this.consume();“^”===this.fetch().text&&h.push(this.handleSupSubscript(“superscript”)),t={type:“ordgroup”,mode:this.mode,body:h}}}return t||r?{type:“supsub”,mode:this.mode,base:a,sup:t,sub:r}:a},t.parseFunction=function(e,t){var r=this.fetch(),a=r.text,i=Tn;if(!i)return null;if(this.consume(),t&&“atom”!==t&&!i.allowedInArgument)throw new n(“Got function '”a“' with no arguments”+(t?“ as ”+t:“”),r);if(“text”===this.mode&&!i.allowedInText)throw new n(“Can't use function '”a“' in text mode”,r);if(“math”===this.mode&&!1===i.allowedInMath)throw new n(“Can't use function '”a“' in math mode”,r);var o=this.parseArguments(a,i),s=o.args,l=o.optArgs;return this.callFunction(a,s,l,r,e)},t.callFunction=function(e,t,r,a,i){var o={funcName:e,parser:this,token:a,breakOnTokenText:i},s=Tn;if(s&&s.handler)return s.handler(o,t,r);throw new n(“No function handler for ”+e)},t.parseArguments=function(e,t){var r=t.numArgs+t.numOptionalArgs;if(0===r)return{args:[],optArgs:};for(var a=[],i=,o=0;o<r;o++){var s=t.argTypes&&t.argTypes,l=o)&&(s=“primitive”);var h=this.parseGroupOfType(“argument to '”e“'”,s,l);if(l)i.push(h);else{if(null==h)throw new n(“Null argument, please report this as a bug”);a.push(h)}}return{args:a,optArgs:i}},t.parseGroupOfType=function(e,t,r){switch(t){case“color”:return this.parseColorGroup®;case“size”:return this.parseSizeGroup®;case“url”:return this.parseUrlGroup®;case“math”:case“text”:return this.parseArgumentGroup(r,t);case“hbox”:var a=this.parseArgumentGroup(r,“text”);return null!=a?{type:“styling”,mode:a.mode,body:,style:“text”}:null;case“raw”:var i=this.parseStringGroup(“raw”,r);return null!=i?{type:“raw”,mode:“text”,string:i.text}:null;case“primitive”:if®throw new n(“A primitive argument cannot be optional”);var o=this.parseGroup(e);if(null==o)throw new n(“Expected group as ”+e,this.fetch());return o;case“original”:case null:case void 0:return this.parseArgumentGroup®;default:throw new n(“Unknown group type as ”+e,this.fetch())}},t.consumeSpaces=function(){for(;“ ”===this.fetch().text;)this.consume()},t.parseStringGroup=function(e,t){var r=this.gullet.scanArgument(t);if(null==r)return null;for(var n,a=“”;“EOF”!==(n=this.fetch()).text;)a+=n.text,this.consume();return this.consume(),r.text=a,r},t.parseRegexGroup=function(e,t){for(var r,a=this.fetch(),i=a,o=“”;“EOF”!==(r=this.fetch()).text&&e.test(o+r.text);)o+=(i=r).text,this.consume();if(“”===o)throw new n(“Invalid ”t“: '”a.text“'”,a);return a.range(i,o)},t.parseColorGroup=function(e){var t=this.parseStringGroup(“color”,e);if(null==t)return null;var r=/^(#{3}|#?[a-f0-9]{6}|[a-z]+)$/i.exec(t.text);if(!r)throw new n(“Invalid color: '”t.text“'”,t);var a=r;return/^{6}$/i.test(a)&&(a=“#”+a),{type:“color-token”,mode:this.mode,color:a}},t.parseSizeGroup=function(e){var t,r=!1;if(this.gullet.consumeSpaces(),!(t=e||“{”===this.gullet.future().text?this.parseStringGroup(“size”,e):this.parseRegexGroup(/^? *(?:$|d+|d+.d*|.d*) *[a-z]{0,2} *$/,“size”)))return null;e||0!==t.text.length||(t.text=“0pt”,r=!0);var a=/(?) *(d+(?:.d*)?|.d+) *([a-z]{2})/.exec(t.text);if(!a)throw new n(“Invalid size: '”t.text“'”,t);var i={number:+(a+a),unit:a};if(!He(i))throw new n(“Invalid unit: '”i.unit“'”,t);return{type:“size”,mode:this.mode,value:i,isBlank:r}},t.parseUrlGroup=function(e){this.gullet.lexer.setCatcode(“%”,13);var t=this.parseStringGroup(“url”,e);if(this.gullet.lexer.setCatcode(“%”,14),null==t)return null;var r=t.text.replace(/\()/g,“$1”);return{type:“url”,mode:this.mode,url:r}},t.parseArgumentGroup=function(e,t){var r=this.gullet.scanArgument(e);if(null==r)return null;var n=this.mode;t&&this.switchMode(t),this.gullet.beginGroup();var a=this.parseExpression(!1,“EOF”);this.expect(“EOF”),this.gullet.endGroup();var i={type:“ordgroup”,mode:this.mode,loc:r.loc,body:a};return t&&this.switchMode(n),i},t.parseGroup=function(e,t){var r,a=this.fetch(),i=a.text;if(“{”===i||“\begingroup”===i){this.consume();var o=“{”===i?“}”:“\endgroup”;this.gullet.beginGroup();var s=this.parseExpression(!1,o),l=this.fetch();this.expect(o),this.gullet.endGroup(),r={type:“ordgroup”,mode:this.mode,loc:Bn.range(a,l),body:s,semisimple:“\begingroup”===i||void 0}}else if(null==(r=this.parseFunction(t,e)||this.parseSymbol())&&“\”===i&&!Gn.hasOwnProperty(i)){if(this.settings.throwOnError)throw new n(“Undefined control sequence: ”+i,a);r=this.formatUnsupportedCmd(i),this.consume()}return r},t.formLigatures=function(e){for(var t=e.length-1,r=0;r<t;++r){var n=e,a=n.text;“-”===a&&“-”===e.text&&(r+1.text?(e.splice(r,3,{type:“textord”,mode:“text”,loc:Bn.range(n,e),text:“—”}),t-=2):(e.splice(r,2,{type:“textord”,mode:“text”,loc:Bn.range(n,e),text:“–”}),t-=1)),“‘”!==a&&“`”!==a||e.text!==a||(e.splice(r,2,{type:“textord”,mode:“text”,loc:Bn.range(n,e),text:a+a}),t-=1)}},t.parseSymbol=function(){var e=this.fetch(),t=e.text;if(/^\verb/.test(t)){this.consume();var r=t.slice(5),a=“*”===r.charAt(0);if(a&&(r=r.slice(1)),r.length<2||r.charAt(0)!==r.slice(-1))throw new n(“\verb assertion failed –n please report what input caused this bug”);return{type:“verb”,mode:“text”,body:r=r.slice(1,-1),star:a}}Wn.hasOwnProperty(t)&&!X[t]&&(this.settings.strict&&“math”===this.mode&&this.settings.reportNonstrict(“unicodeTextInMathMode”,'Accented Unicode text character “'t[0]'” used in math mode’,e),t=Wn[t]+t.substr(1));var i,o=Cn.exec(t);if(o&&(“i”===(t=t.substring(0,o.index))?t=“u0131”:“j”===t&&(t=“u0237”)),X[t]){this.settings.strict&&“math”===this.mode&&Me.indexOf(t)>=0&&this.settings.reportNonstrict(“unicodeTextInMathMode”,'Latin-1/Unicode text character “'t[0]'” used in math mode',e);var s,l=X[t].group,h=Bn.range(e);if(U.hasOwnProperty(l)){var m=l;s={type:“atom”,mode:this.mode,family:m,loc:h,text:t}}else s={type:l,mode:this.mode,loc:h,text:t};i=s}else{if(!(t.charCodeAt(0)>=128))return null;this.settings.strict&&(w(t.charCodeAt(0))?“math”===this.mode&&this.settings.reportNonstrict(“unicodeTextInMathMode”,'Unicode text character “'t[0]'” used in math mode',e):this.settings.reportNonstrict(“unknownSymbol”,'Unrecognized Unicode character “'t[0]'” ('+t.charCodeAt(0)+“)”,e)),i={type:“textord”,mode:“text”,loc:Bn.range(e),text:t}}if(this.consume(),o)for(var c=0;c.length;c++){var u=o[c];if(!Yn)throw new n(“Unknown accent ' ”u“'”,e);var p=Yn[this.mode];if(!p)throw new n(“Accent ”u“ unsupported in ”this.mode“ mode”,e);i={type:“accent”,mode:this.mode,loc:Bn.range(e),label:p,isStretchy:!1,isShifty:!0,base:i}}return i},e}();Xn.endOfExpression=;var _n=function(e,t){if(!(“string”==typeof e||e instanceof String))throw new TypeError(“KaTeX can only parse string typed expression”);var r=new Xn(e,t);delete tag“] at r.gullet.macros.current["\df;var a=r.parse();if(delete color”] at r.gullet.macros.current["\current,delete r.gullet.macros.current,r.gullet.macros.get(“\df@tag”)){if(!t.displayMode)throw new n(“\tag works only in display equations”);r.gullet.feed(“\df@tag”),a=}return a},jn=function(e,t,r){t.textContent=“”;var n=Zn(e,r).toNode();t.appendChild(n)};“undefined”!=typeof document&&“CSS1Compat”!==document.compatMode&&(“undefined”!=typeof console&&console.warn(“Warning: KaTeX doesn't work in quirks mode. Make sure your website has a suitable doctype.”),jn=function(){throw new n(“KaTeX doesn't work in quirks mode.”)});var $n=function(e,t,r){if(r.throwOnError||!(e instanceof n))throw e;var a=je.makeSpan(,[new O(t)]);return a.setAttribute(“title”,e.toString()),a.setAttribute(“style”,“color:”+r.errorColor),a},Zn=function(e,t){var r=new h(t);try{var n=_n(e,r);return Rt(n,e,r)}catch(t){return $n(t,e,r)}},Kn={version:“0.13.2”,render:jn,renderToString:function(e,t){return Zn(e,t).toMarkup()},ParseError:n,__parse:function(e,t){var r=new h(t);return _n(e,r)},__renderToDomTree:Zn,__renderToHTMLTree:function(e,t){var r=new h(t);try{return function(e,t,r){var n=xt(e,It®),a=je.makeSpan(,[n]);return Ot(a,r)}(_n(e,r),0,r)}catch(t){return $n(t,e,r)}},__setFontMetrics:function(e,t){D=t},_defineSymbol:,__defineMacro:Hn,__domTree:{Span:q,Anchor:N,SymbolNode:O,SvgNode:R,PathNode:E,LineNode:H}};return t=t.default}()}));