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S2OJ/web/lib/MathJax/input/tex/extensions/ams.js

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!function(){"use strict";var t,e,a,r,n,i={667:function(t,e){e.q=void 0,e.q="3.2.2"},577:function(t,e,a){var r,n,i=this&&this.__extends||(r=function(t,e){return r=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var a in e)Object.prototype.hasOwnProperty.call(e,a)&&(t[a]=e[a])},r(t,e)},function(t,e){if("function"!=typeof e&&null!==e)throw new TypeError("Class extends value "+String(e)+" is not a constructor or null");function a(){this.constructor=t}r(t,e),t.prototype=null===e?Object.create(e):(a.prototype=e.prototype,new a)});Object.defineProperty(e,"__esModule",{value:!0}),e.AmsConfiguration=e.AmsTags=void 0;var l=a(251),o=a(971),s=a(680),u=a(16);a(829);var m=a(871),d=function(t){function e(){return null!==t&&t.apply(this,arguments)||this}return i(e,t),e}(s.AbstractTags);e.AmsTags=d;e.AmsConfiguration=l.Configuration.create("ams",{handler:{character:["AMSmath-operatorLetter"],delimiter:["AMSsymbols-delimiter","AMSmath-delimiter"],macro:["AMSsymbols-mathchar0mi","AMSsymbols-mathchar0mo","AMSsymbols-delimiter","AMSsymbols-macros","AMSmath-mathchar0mo","AMSmath-macros","AMSmath-delimiter"],environment:["AMSmath-environment"]},items:(n={},n[o.MultlineItem.prototype.kind]=o.MultlineItem,n[o.FlalignItem.prototype.kind]=o.FlalignItem,n),tags:{ams:d},init:function(t){new m.CommandMap(u.NEW_OPS,{},{}),t.append(l.Configuration.local({handler:{macro:[u.NEW_OPS]},priority:-1}))},config:function(t,e){e.parseOptions.options.multlineWidth&&(e.parseOptions.options.ams.multlineWidth=e.parseOptions.options.multlineWidth),delete e.parseOptions.options.multlineWidth},options:{multlineWidth:"",ams:{multlineWidth:"100%",multlineIndent:"1em"}}})},971:function(t,e,a){var r,n=this&&this.__extends||(r=function(t,e){return r=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var a in e)Object.prototype.hasOwnProperty.call(e,a)&&(t[a]=e[a])},r(t,e)},function(t,e){if("function"!=typeof e&&null!==e)throw new TypeError("Class extends value "+String(e)+" is not a constructor or null");function a(){this.constructor=t}r(t,e),t.prototype=null===e?Object.create(e):(a.prototype=e.prototype,new a)}),i=this&&this.__assign||function(){return i=Object.assign||function(t){for(var e,a=1,r=arguments.length;a<r;a++)for(var n in e=arguments[a])Object.prototype.hasOwnProperty.call(e,n)&&(t[n]=e[n]);return t},i.apply(this,arguments)},l=this&&this.__importDefault||function(t){return t&&t.__esModule?t:{default:t}};Object.defineProperty(e,"__esModule",{value:!0}),e.FlalignItem=e.MultlineItem=void 0;var o=a(935),s=l(a(398)),u=l(a(748)),m=l(a(402)),d=a(108),c=function(t){function e(e){for(var a=[],r=1;r<arguments.length;r++)a[r-1]=arguments[r];var n=t.call(this,e)||this;return n.factory.configuration.tags.start("multline",!0,a[0]),n}return n(e,t),Object.defineProperty(e.prototype,"kind",{get:function(){return"multline"},enumerable:!1,configurable:!0}),e.prototype.EndEntry=function(){this.table.length&&s.default.fixInitialMO(this.factory.configuration,this.nodes);var t=this.getProperty("shove"),e=this.create("node","mtd",this.nodes,t?{columnalign:t}:{});this.setProperty("shove",null),this.row.push(e),this.Clear()},e.prototype.EndRow=function(){if(1!==this.row.length)throw new m.default("MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline");var t=this.create("node","mtr",this.row);this.table.push(t),this.row=[]},e.prototype.EndTable=function(){if(t.prototype.EndTable.call(this),this.table.length){var e=this.table.length-1,a=-1;u.default.getAttribute(u.default.getChildren(this.table[0])[0],"columnalign")||u.default.setAttribute(u.default.getChildren(this.table[0])[0],"columnalign",d.TexConstant.Align.LEFT),u.default.getAttribute(u.default.getChildren(this.table[e])[0],"columnalign")||u.default.setAttribute(u.default.getChildren(this.table[e])[0],"columnalign",d.TexConstant.Align.RIGHT);var r=this.factory.configuration.tags.getTag();if(r){a=this.arraydef.side===d.TexConstant.Align.LEFT?0:this.table.length-1;var n=this.table[a],i=this.create("node","mlabeledtr",[r].concat(u.default.getChildren(n)));u.default.copyAttributes(n,i),this.table[a]=i}}this.factory.configuration.tags.end()},e}(o.ArrayItem);e.MultlineItem=c;var h=function(t){function e(e,a,r,n,i){var l=t.call(this,e)||this;return l.name=a,l.numbered=r,l.padded=n,l.center=i,l.factory.configuration.tags.start(a,r,r),l}return n(e,t),Object.defineProperty(e.prototype,"kind",{get:function(){return"flalign"},enumerable:!1,configurable:!0}),e.prototype.EndEntry=function(){t.prototype.EndEntry.call(this);var e=this.getProperty("xalignat");if(e&&this.row.length>e)throw new m.default("XalignOverflow","Extra %1 in row of %2","&",this.name)},e.prototype.EndRow=function(){for(var e,a=this.row,r=this.getProperty("xalignat");a.length<r;)a.push(this.create("node","mtd"));for(this.row=[],this.padded&&this.row.push(this.create("node","mtd"));e=a.shift();)this.row.push(e),(e=a.shift())&&this.row.push(e),(a.length||this.padded)&&this.row.push(this.create("node","mtd"));this.row.length>this.maxrow&&(this.maxrow=this.row.length),t.prototype.EndRow.call(this);var n=this.table[this.table.length-1];if(this.getProperty("zeroWidthLabel")&&n.isKind("mlabeledtr")){var l=u.default.getChildren(n)[0],o=this.factory.configuration.options.tagSide,s=i({width:0},"right"===o?{lspace:"-1width"}:{}),m=this.create("node","mpadded",u.default.getChildren(l),s);l.setChildren([m])}},e.prototype.EndTable=function(){(t.prototype.EndTable.call(this),this.center)&&(this.maxrow<=2&&(delete this.arraydef.width,delete this.global.indentalign))},e}(o.EqnArrayItem);e.FlalignItem=h},829:function(t,e,a){var r=this&&this.__createBinding||(Object.create?function(t,e,a,r){void 0===r&&(r=a);var n=Object.getOwnPropertyDescriptor(e,a);n&&!("get"in n?!e.__esModule:n.writable||n.configurable)||(n={enumerable:!0,get:function(){return e[a]}}),Object.defineProperty(t,r,n)}:function(t,e,a,r){void 0===r&&(r=a),t[r]=e[a]}),n=this&&this.__setModuleDefault||(Object.create?function(t,e){Object.defineProperty(t,"default",{enumerable:!0,value:e})}:function(t,e){t.default=e}),i=this&&this.__importStar||function(t){if(t&&t.__esModule)return t;var e={};if(null!=t)for(var a in t)"default"!==a&&Object.prototype.hasOwnProperty.call(t,a)&&r(e,t,a);return n(e,t),e},l=this&&this.__importDefault||function(t){return t&&t.__esModule?t:{default:t}};Object.defineProperty(e,"__esModule",{value:!0});var o=a(16),s=i(a(871)),u=a(108),m=l(a(945)),d=l(a(398)),c=a(801),h=a(230);new s.CharacterMap("AMSmath-mathchar0mo",m.default.mathchar0mo,{iiiint:["\u2a0c",{texClass:c.TEXCLASS.OP}]}),new s.RegExpMap("AMSmath-operatorLetter",o.AmsMethods.operatorLetter,/[-*]/i),new s.CommandMap("AMSmath-macros",{mathring:["Accent","02DA"],nobreakspace:"Tilde",negmedspace:["Spacer",h.MATHSPACE.negativemediummathspace],negthickspace:["Spacer",h.MATHSPACE.negativethickmathspace],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:"SideSet",boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",eqref:["HandleRef",!0],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","","1"],dfrac:["Genfrac","","","","0"],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0","1"],dbinom:["Genfrac","(",")","0","0"],cfrac:"CFrac",shoveleft:["HandleShove",u.TexConstant.Align.LEFT],shoveright:["HandleShove",u.TexConstant.Align.RIGHT],xrightarrow:["xArrow",8594,5,10],xleftarrow:["xArrow",8592,10,5]},o.AmsMethods),new s.EnvironmentMap("AMSmath-environment",m.default.environment,{"equation*":["Equation",null,!1],"eqnarray*":["EqnArray",null,!1,!0,"rcl",d.default.cols(0,h.MATHSPACE.thickmathspace),".5em"],align:["EqnArray",null,!0,!0,"rl",d.default.cols(0,2)],"align*":["EqnArray",null,!1,!0,"rl",d.default.cols(0,2)],multline:["Multline",null,!0],"multline*":["Multline",null,!1],split:["EqnArray",null,!1,!1,"rl",d.default.cols(0)],gather:["EqnArray",null,!0,!0,"c"],"gather*":["EqnArray",null,!1,!0,"c"],alignat:["AlignAt",null,!0,!0],"alignat*":["AlignAt",null,!1,!0],alignedat:["AlignAt",null,!1,!1],aligned:["AmsEqnArray",null,null,null,"rl",d.default.cols(0,2),".5em","D"],gathered:["AmsEqnArray",null,null,null,"c",null,".5em","D"],xalignat:["XalignAt",null,!0,!0],"xalignat*":["XalignAt",null,!1,!0],xxalignat:["XalignAt",null,!1,!1],flalign:["FlalignArray",null,!0,!1,!0,"rlc","auto auto fit"],"flalign*":["FlalignArray",null,!1,!1,!0,"rlc","auto auto fit"],subarray:["Array",null,null,null,null,d.default.cols(0),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",d.default.cols(1/3),".2em","S",1],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"]},o.AmsMethods),new s.DelimiterMap("AMSmath-delimiter",m.default.delimiter,{"\\lvert":["|",{texClass:c.TEXCLASS.OPEN}],"\\rvert":["|",{texClass:c.TEXCLASS.CLOSE}],"\\lVert":["\u2016",{texClass:c.TEXCLASS.OPEN}],"\\rVert":["\u2016",{texClass:c.TEXCLASS.CLOSE}]}),new s.CharacterMap("AMSsymbols-mathchar0mi",m.default.mathchar0mi,{digamma:"\u03dd",varkappa:"\u03f0",varGamma:["\u0393",{mathvariant:u.TexConstant.Variant.ITALIC}],varDelta:["\u0394",{mathvariant:u.TexConstant.Variant.ITALIC}],varTheta:["\u0398",{mathvariant:u.TexConstant.Variant.ITALIC}],varLambda:["\u039b",{mathvariant:u.TexConstant.Variant.ITALIC}],varXi:["\u039e",{mathvariant:u.TexConstant.Variant.ITALIC}],varPi:["\u03a0",{mathvariant:u.TexConstant.Variant.ITALIC}],varSigma:["\u03a3",{mathvariant:u.TexConstant.Variant.ITALIC}],varUpsilon:["\u03a5",{mathvariant:u.TexConstant.Variant.ITALIC}],varPhi:["\u03a6",{mathvariant:u.TexConstant.Variant.ITALIC}],varPsi:["\u03a8",{mathvariant:u.TexConstant.Variant.ITALIC}],varOmega:["\u03a9",{mathvariant:u.TexConstant.Variant.ITALIC}],beth:"\u2136",gimel:"\u2137",daleth:"\u2138",backprime:["\u2035",{variantForm:!0}],hslash:"\u210f",varnothing:["\u2205",{variantForm:!0}],blacktriangle:"\u25b4",triangledown:["\u25bd",{variantForm:!0}],blacktriangledown:"\u25be",square:"\u25fb",Box:"\u25fb",blacksquare:"\u25fc",lozenge:"\u25ca",Diamond:"\u25ca",blacklozenge:"\u29eb",circledS:["\u24c8",{mathvariant:u.TexConstant.Variant.NORMAL}],bigstar:"\u2605",sphericalangle:"\u2222",measuredangle:"\u2221",nexists:"\u2204",complement:"\u2201",mho:"\u2127",eth:["\xf0",{mathvariant:u.TexConstant.Variant.NORMAL}],Finv:"\u2132",diagup:"\u2571",Game:"\u2141",diagdown:"\u2572",Bbbk:["k",{mathvariant:u.TexConstant.Variant.DOUBLESTRUCK}],yen:"\xa5",circledR:"\xae",checkmark:"\u2713",maltese:"\u2720"}),new s.CharacterMap("AMSsymbols-mathchar0mo",m.default.mathchar0mo,{dotplus:"\u2214",ltimes:"\u22c9",smallsetminus:["\u2216",{variantForm:!0}],rtimes:"\u22ca",Cap:"\u22d2",doublecap:"\u22d2",leftthreetimes:"\u22cb",Cup:"\u22d3",doublecup:"\u22d3",rightthreetimes:"\u22cc",barwedge:"\u22bc",curlywedge:"\u22cf",veebar:"\u22bb",curlyvee:"\u22ce",doublebarwedge:"\u2a5e",boxminus:"\u229f",circleddash:"\u229d",boxtimes:"\u22a0",circledast:"\u229b",boxdot:"\u22a1",circledcirc:"\u229a",boxplus:"\u229e",centerdot:["\u22c5",{variantForm:!0}],divideontimes:"\u22c7",intercal:"\u22ba",leqq:"\u2266",geqq:"\u2267",leqslant:"\u2a7d",geqslant:"\u2a7e",eqslantless:"\u2a95",eqslantgtr:"\u2a96",lesssim:"\u2272",gtrsim:"\u2273",lessapprox:"\u2a85",gtrapprox:"\u2a86",approxeq:"\u224a",lessdot:"\u22d6",gtrdot:"\u22d7",lll:"\u22d8",llless:"\u22d8",ggg:"\u22d9",gggtr:"\u22d9",lessgtr:"\u2276",gtrless:"\u2277",lesseqgtr:"\u22da",gtreqless:"\u22db",lesseqqgtr:"\u2a8b",gtreqqless:"\u2a8c",doteqdot:"\u2251",Doteq:"\u2251",eqcirc:"\u2256",risingdotseq:"\u2253",circeq:"\u2257",fallingdotseq:"\u2252",triangleq:"\u225c",backsim:"\u223d",thicksim:["\u223c",{variantForm:!0}],backsimeq:"\u22cd",thickapprox:["\u2248",{variantForm:!0}],subseteqq:"\u2ac5",supseteqq:"\u2ac6",Subset:"\u22d0",Supset:"\u22d1",sqsubset:"\u228f",sqsupset:"\u2290",preccurlyeq:"\u227c",succcurlyeq:"\u227d",curlyeqprec:"\u22de",curlyeqsucc:"\u22df",precsim:"\u227e",succsim:"\u227f",precapprox:"\u2ab7",succapprox:"\u2ab8",vartriangleleft:"\u22b2",lhd:"\u22b2",vartriangleright:"\u22b3",rhd:"\u22b3",trianglelefteq:"\u22b4",unlhd:"\u22b4",trianglerighteq:"\u22b5",unrhd:"\u22b5",vDash:["\u22a8",{variantForm:!0}],Vdash:"\u22a9",Vvdash:"\u22aa",smallsmile:["\u2323",{variantForm:!0}],shortmid:["\u2223",{variantForm:!0}],smallfrown:["\u2322",{variantForm:!0}],shortparallel:["\u2225",{variantForm:!0}],bumpeq:"\u224f",between:"\u226c",Bumpeq:"\u224e",pitchfork:"\u22d4",varpropto:["\u221d",{variantForm:!0}],backepsilon:"\u220d",blacktriangleleft:"\u25c2",blacktriangleright:"\u25b8",therefore:"\u2234",because:"\u2235",eqsim:"\u2242",vartriangle:["\u25b3",{variantForm:!0}],Join:"\u22c8",nless:"\u226e",ngtr:"\u226f",nleq:"\u2270",ngeq:"\u2271",nleqslant:["\u2a87",{variantForm:!0}],ngeqslant:["\u2a88",{variantForm:!0}],nleqq:["\u2270",{variantForm:!0}],ngeqq:["\u2271",{variantForm:!0}],lneq:"\u2a87",gneq:"\u2a88",lneqq:"\u2268",gneqq:"\u2269",lvertneqq:["\u2268",{variantForm:!0}],gvertneqq:["\u2269",{variantForm:!0}],lnsim:"\u22e6",gnsim:"\u22e7",lnapprox:"\u2a89",gnapprox:"\u2a8a",nprec:"\u2280",nsucc:"\u2281",npreceq:["\u22e0",{variantForm:!0}],nsucceq:["\u22e1",{variantForm:!0}],precneqq:"\u2ab5",succneqq:"\u2ab6",precnsim:"\u22e8",succnsim:"\u22e9",precnapprox:"\u2ab9",succnapprox:"\u2aba",nsim:"\u2241",ncong:"\u2247",nshortmid:["\u2224",{variantForm:!0}],nshortparallel:["\u2226",{variantForm:!0}],nmid:"\u2224",nparallel:"\u2226",nvdash:"\u22ac",nvDash:"\u22ad",nVdash:"\u22ae",nVDash:"\u22af",ntriangleleft:"\u22ea",ntriangleright:"\u22eb",ntrianglelefteq:"\u22ec",ntrianglerighteq:"\u22ed",nsubseteq:"\u2288",nsupseteq:"\u2289",nsubseteqq:["\u2288",{variantForm:!0}],nsupseteqq:["\u2289",{variantForm:!0}],subsetneq:"\u228a",supsetneq:"\u228b",varsubsetneq:["\u228a",{variantForm:!0}],varsupsetneq:["\u228b",{variantForm:!0}],subsetneqq:"\u2acb",supsetneqq:"\u2acc",varsubsetneqq:["\u2acb",{variantForm:!0}],varsupsetneqq:["\u2acc",{variantForm:!0}],leftleftarrows:"\u21c7",rightrightarrows:"\u21c9",leftrightarrows:"\u21c6",rightleftarrows:"\u21c4",Lleftarrow:"\u21da",Rrightarrow:"\u21db",twoheadleftarrow:"\u219e",twoheadrightarrow:"\u21a0",leftarrowtail:"\u21a2",rightarrowtail:"\u21a3",looparrowleft:"\u21ab",looparrowright:"\u21ac",leftrightharpoons:"\u21cb",rightleftharpoons:["\u21cc",{variantForm:!0}],curvearrowleft:"\u21b6",curvearrowright:"\u21b7",circlearrowleft:"\u21ba",circlearrowright:"\u21bb",Lsh:"\u21b0",Rsh:"\u21b1",upuparrows:"\u21c8",downdownarrows:"\u21ca",upharpoonleft:"\u21bf",upharpoonright:"\u21be",downharpoonleft:"\u21c3",restriction:"\u21be",multimap:"\u22b8",downharpoonright:"\u21c2",leftrightsquigarrow:"\u21ad",rightsquigarrow:"\u21dd",leadsto:"\u21dd",dashrightarrow:"\u21e2",dashleftarrow:"\u21e0",nleftarrow:"\u219a",nrightarrow:"\u219b",nLeftarrow:"\u21cd",nRightarrow:"\u21cf",nleftrightarrow:"\u21ae",nLeftrightarrow:"\u21ce"}),new s.DelimiterMap("AMSsymbols-delimiter",m.default.delimiter,{"\\ulcorner":"\u231c","\\urcorner":"\u231d","\\llcorner":"\u231e","\\lrcorner":"\u231f"}),new s.CommandMap("AMSsymbols-macros",{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]},o.AmsMethods)},16:function(t,e,a){var r=this&&this.__assign||function(){return r=Object.assign||function(t){for(var e,a=1,r=arguments.length;a<r;a++)for(var n in e=arguments[a])Object.prototype.hasOwnProperty.call(e,n)&&(t[n]=e[n]);return t},r.apply(this,arguments)},n=this&&this.__read||function(t,e){var a="function"==typeof Symbol&&t[Symbol.iterator];if(!a)return t;var r,n,i=a.call(t),l=[];try{for(;(void 0===e||e-- >0)&&!(r=i.next()).done;)l.push(r.value)}catch(t){n={error:t}}finally{try{r&&!r.done&&(a=i.return)&&a.call(i)}finally{if(n)throw n.error}}return l},i=this&&this.__importDefault||function(t){return t&&t.__esModule?t:{default:t}};Object.defineProperty(e,"__esModule",{value:!0}),e.NEW_OPS=e.AmsMethods=void 0;var l=i(a(398)),o=i(a(945)),s=i(a(748)),u=a(108),m=i(a(193)),d=i(a(402)),c=a(924),h=i(a(360)),p=a(801);function f(t){if(!t||t.isInferred&&0===t.childNodes.length)return[null,null];if(t.isKind("msubsup")&&g(t))return[t,null];var e=s.default.getChildAt(t,0);return t.isInferred&&e&&g(e)?(t.childNodes.splice(0,1),[e,t]):[null,t]}function g(t){var e=t.childNodes[0];return e&&e.isKind("mi")&&""===e.getText()}e.AmsMethods={},e.AmsMethods.AmsEqnArray=function(t,e,a,r,n,i,o){var s=t.GetBrackets("\\begin{"+e.getName()+"}"),u=h.default.EqnArray(t,e,a,r,n,i,o);return l.default.setArrayAlign(u,s)},e.AmsMethods.AlignAt=function(t,a,r,n){var i,o,s=a.getName(),u="",m=[];if(n||(o=t.GetBrackets("\\begin{"+s+"}")),(i=t.GetArgument("\\begin{"+s+"}")).match(/[^0-9]/))throw new d.default("PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+s+"}");for(var c=parseInt(i,10);c>0;)u+="rl",m.push("0em 0em"),c--;var h=m.join(" ");if(n)return e.AmsMethods.EqnArray(t,a,r,n,u,h);var p=e.AmsMethods.EqnArray(t,a,r,n,u,h);return l.default.setArrayAlign(p,o)},e.AmsMethods.Multline=function(t,e,a){t.Push(e),l.default.checkEqnEnv(t);var r=t.itemFactory.create("multline",a,t.stack);return r.arraydef={displaystyle:!0,rowspacing:".5em",columnspacing:"100%",width:t.options.ams.multlineWidth,side:t.options.tagSide,minlabelspacing:t.options.tagIndent,framespacing:t.options.ams.multlineIndent+" 0",frame:"","data-width-includes-label":!0},r},e.AmsMethods.XalignAt=function(t,a,r,n){var i=t.GetArgument("\\begin{"+a.getName()+"}");if(i.match(/[^0-9]/))throw new d.default("PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+a.getName()+"}");var l=n?"crl":"rlc",o=n?"fit auto auto":"auto auto fit",s=e.AmsMethods.FlalignArray(t,a,r,n,!1,l,o,!0);return s.setProperty("xalignat",2*parseInt(i)),s},e.AmsMethods.FlalignArray=function(t,e,a,r,n,i,o,s){void 0===s&&(s=!1),t.Push(e),l.default.checkEqnEnv(t),i=i.split("").join(" ").replace(/r/g,"right").replace(/l/g,"left").replace(/c/g,"center");var u=t.itemFactory.create("flalign",e.getName(),a,r,n,t.stack);return u.arraydef={width:"100%",displaystyle:!0,columnalign:i,columnspacing:"0em",columnwidth:o,rowspacing:"3pt",side:t.options.tagSide,minlabelspacing:s?"0":t.options.tagIndent,"data-width-includes-label":!0},u.setProperty("zeroWidthLabel",s),u},e.NEW_OPS="ams-declare-ops",e.AmsMethods.HandleDeclareOp=function(t,a){var r=t.GetStar()?"*":"",n=l.default.trimSpaces(t.GetArgument(a));"\\"===n.charAt(0)&&(n=n.substr(1));var i=t.GetArgument(a);t.configuration.handlers.retrieve(e.NEW_OPS).add(n,new c.Macro(n,e.AmsMethods.Macro,["\\operatorname".concat(r,"{").concat(i,"}")]))},e.AmsMethods.HandleOperatorName=function(t,e){var a=t.GetStar(),n=l.default.trimSpaces(t.GetArgument(e)),i=new m.default(n,r(r({},t.stack.env),{font:u.TexConstant.Variant.NORMAL,multiLetterIdentifiers:/^[-*a-z]+/i,operatorLetters:!0}),t.configuration).mml();if(i.isKind("mi")||(i=t.create("node","TeXAtom",[i])),s.default.setProperties(i,{movesupsub:a,movablelimits:!0,texClass:p.TEXCLASS.OP}),!a){var o=t.GetNext(),d=t.i;"\\"===o&&++t.i&&"limits"!==t.GetCS()&&(t.i=d)}t.Push(i)},e.AmsMethods.SideSet=function(t,e){var a=n(f(t.ParseArg(e)),2),r=a[0],i=a[1],o=n(f(t.ParseArg(e)),2),u=o[0],m=o[1],d=t.ParseArg(e),c=d;r&&(i?r.replaceChild(t.create("node","mphantom",[t.create("node","mpadded",[l.default.copyNode(d,t)],{width:0})]),s.default.getChildAt(r,0)):(c=t.create("node","mmultiscripts",[d]),u&&s.default.appendChildren(c,[s.default.getChildAt(u,1)||t.create("node","none"),s.default.getChildAt(u,2)||t.create("node","none")]),s.default.setProperty(c,"scriptalign","left"),s.default.appendChildren(c,[t.create("node","mprescripts"),s.default.getChildAt(r,1)||t.create("node","none"),s.default.getChildAt(r,2)||t.create("node","none")]))),u&&c===d&&(u.replaceChild(d,s.default.getChildAt(u,0)),c=u);var h=t.create("node","TeXAtom",[],{texClass:p.TEXCLASS.OP,movesupsub:!0,movablelimits:!0});i&&(r&&h.appendChild(r),h.appendChild(i)),h.appendChild(c),m&&h.appendChild(m),t.Push(h)},e.AmsMethods.operatorLetter=function(t,e){return!!t.stack.env.operatorLetters&&o.default.variable(t,e)},e.AmsMethods.MultiIntegral=function(t,e,a){var r=t.GetNext();if("\\"===r){var n=t.i;r=t.GetArgument(e),t.i=n,"\\limits"===r&&(a="\\idotsint"===e?"\\!\\!\\mathop{\\,\\,"+a+"}":"\\!\\!\\!\\mathop{\\,\\,\\,"+a+"}")}t.string=a+" "+t.string.slice(t.i),t.i=0},e.AmsMethods.xArrow=function(t,e,a,r,n){var i={width:"+"+l.default.Em((r+n)/18),lspace:l.default.Em(r/18)},o=t.GetBrackets(e),u=t.ParseArg(e),d=t.create("node","mspace",[],{depth:".25em"}),c=t.create("token","mo",{stretchy:!0,texClass:p.TEXCLASS.REL},String.fromCodePoint(a));c=t.create("node","mstyle",[c],{scriptlevel:0});var h=t.create("node","munderover",[c]),f=t.create("node","mpadded",[u,d],i);if(s.default.setAttribute(f,"voffset","-.2em"),s.default.setAttribute(f,"height","-.2em"),s.default.setChild(h,h.over,f),o){var g=new m.default(o,t.stack.env,t.configuration).mml(),M=t.create("node","mspace",[],{height:".75em"});f=t.create("node","mpadded",[g,M],i),s.default.setAttribute(f,"voffset",".15em"),s.default.setAttribute(f,"depth","-.15em"),s.default.setChild(h,h.under,f)}s.default.setProperty(h,"subsupOK",!0),t.Push(h)},e.AmsMethods.HandleShove=function(t,e,a){var r=t.stack.Top();if("multline"!==r.kind)throw new d.default("CommandOnlyAllowedInEnv","%1 only allowed in %2 environment",t.currentCS,"multline");if(r.Size())throw new d.default("CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",t.currentCS);r.setProperty("shove",a)},e.AmsMethods.CFrac=function(t,e){var a=l.default.trimSpaces(t.GetBrackets(e,"")),r=t.GetArgument(e),n=t.GetArgument(e),i={l:u.TexConstant.Align.LEFT,r:u.TexConstant.Align.RIGHT,"":""},o=new m.default("\\strut\\textstyle{"+r+"}",t.stack.env,t.configuration).mml(),c=new m.default("\\strut\\textstyle{"+n+"}",t.stack.env,t.configuration).mml(),h=t.create("node","mfrac",[o,c]);if(null==(a=i[a]))throw new d.default("IllegalAlign","Illegal alignment specified in %1",t.currentCS);a&&s.default.setProperties(h,{numalign:a,denomalign:a}),t.Push(h)},e.AmsMethods.Genfrac=function(t,e,a,r,n,i){null==a&&(a=t.GetDelimiterArg(e)),null==r&&(r=t.GetDelimiterArg(e)),null==n&&(n=t.GetArgument(e)),null==i&&(i=l.default.trimSpaces(t.GetArgument(e)));var o=t.ParseArg(e),u=t.ParseArg(e),m=t.create("node","mfrac",[o,u]);if(""!==n&&s.default.setAttribute(m,"linethickness",n),(a||r)&&(s.default.setProperty(m,"withDelims",!0),m=l.default.fixedFence(t.configuration,a,m,r)),""!==i){var c=parseInt(i,10),h=["D","T","S","SS"][c];if(null==h)throw new d.default("BadMathStyleFor","Bad math style for %1",t.currentCS);m=t.create("node","mstyle",[m]),"D"===h?s.default.setProperties(m,{displaystyle:!0,scriptlevel:0}):s.default.setProperties(m,{displaystyle:!1,scriptlevel:c-1})}t.Push(m)},e.AmsMethods.HandleTag=function(t,e){if(!t.tags.currentTag.taggable&&t.tags.env)throw new d.default("CommandNotAllowedInEnv","%1 not allowed in %2 environment",t.currentCS,t.tags.env);if(t.tags.currentTag.tag)throw new d.default("MultipleCommand","Multiple %1",t.currentCS);var a=t.GetStar(),r=l.default.trimSpaces(t.GetArgument(e));t.tags.tag(r,a)},e.AmsMethods.HandleNoTag=h.default.HandleNoTag,e.AmsMethods.HandleRef=h.default.HandleRef,e.AmsMethods.Macro=h.default.Macro,e.AmsMethods.Accent=h.default.Accent,e.AmsMethods.Tilde=h.default.Tilde,e.AmsMethods.Array=h.default.Array,e.AmsMethods.Spacer=h.default.Spacer,e.AmsMethods.NamedOp=h.default.NamedOp,e.AmsMethods.EqnArray=h.default.EqnArray,e.AmsMethods.Equation=h.default.Equation},955:function(t,e){MathJax._.components.global.isObject,MathJax._.components.global.combineConfig,MathJax._.components.global.combineDefaults,e.r8=MathJax._.components.global.combineWithMathJax,MathJax._.components.global.MathJax},801:function(t,e){Object.defineProperty(e,"__esModule",{value:!0}),e.TEXCLASS=MathJax._.core.MmlTree.MmlNode.TEXCLASS,e.TEXCLASSNAMES=MathJax._.core.MmlTree.MmlNode.TEXCLASSNAMES,e.indentAttributes=MathJax._.core.MmlTree.MmlNode.indentAttributes,e.AbstractMmlNode=MathJax._.core.MmlTree.MmlNode.AbstractMmlNode,e.AbstractMmlTokenNode=MathJax._.core.MmlTree.MmlNode.AbstractMmlTokenNode,e.AbstractMmlLayoutNode=MathJax._.core.MmlTree.MmlNode.AbstractMmlLayoutNode,e.AbstractMmlBaseNode=MathJax._.core.MmlTree.MmlNode.AbstractMmlBaseNode,e.AbstractMmlEmptyNode=MathJax._.core.MmlTree.MmlNode.AbstractMmlEmptyNode,e.TextNode=MathJax._.core.MmlTree.MmlNode.TextNode,e.XMLNode=MathJax._.core.MmlTree.MmlNode.XMLNode},230:function(t,e){Object.defineProperty(e,"__esModule",{value:!0}),e.BIGDIMEN=MathJax._.util.lengths.BIGDIMEN,e.UNITS=MathJax._.util.lengths.UNITS,e.RELUNITS=MathJax._.util.lengths.RELUNITS,e.MATHSPACE=MathJax._.util.lengths.MATHSPACE,e.length2em=MathJax._.util.lengths.length2em,e.percent=MathJax._.util.lengths.percent,e.em=MathJax._.util.lengths.em,e.emRounded=MathJax._.util.lengths.emRounded,e.px=MathJax._.util.lengths.px},251:function(t,e){Object.defineProperty(e,"__esModule",{value:!0}),e.Configuration=MathJax._.input.tex.Configuration.Configuration,e.ConfigurationHandler=MathJax._.input.tex.Configuration.ConfigurationHandler,e.ParserConfiguration=MathJax._.input.tex.Configuration.ParserConfiguration},748:function(t,e){Object.defineProperty(e,"__esModule",{value:!0}),e.default=MathJax._.input.tex.NodeUtil.default},945:function(t,e){Object.defineProperty(e,"__esModule",{value:!0}),e.default=MathJax._.input.tex.ParseMethods.default},398:function(t,e){Object.defineProperty(e,"__esModule",{value:!0}),e.default=MathJax._.input.tex.ParseUtil.default},924:function(t,e){Object.defineProperty(e,"__esModule",{value:!0}),e.Symbol=MathJax._.input.tex.Symbol.Symbol,e.Macro=MathJax._.input.tex.Symbol.Macro},871:function(t,e){Object.defineProperty(e,"__esModule",{value:!0}),e.parseResult=MathJax._.input.tex.SymbolMap.parseResult,e.AbstractSymbolMap=MathJax._.input.tex.SymbolMap.AbstractSymbolMap,e.RegExpMap=MathJax._.input.tex.SymbolMap.RegExpMap,e.AbstractParseMap=MathJax._.input.tex.SymbolMap.AbstractParseMap,e.CharacterMap=MathJax._.input.tex.SymbolMap.CharacterMap,e.DelimiterMap=MathJax._.input.tex.SymbolMap.DelimiterMap,e.MacroMap=MathJax._.input.tex.SymbolMap.MacroMap,e.CommandMap=MathJax._.input.tex.SymbolMap.CommandMap,e.EnvironmentMap=MathJax._.input.tex.SymbolMap.EnvironmentMap},680:function(t,e){Object.defineProperty(e,"__esModule",{value:!0}),e.Label=MathJax._.input.tex.Tags.Label,e.TagInfo=MathJax._.input.tex.Tags.TagInfo,e.AbstractTags=MathJax._.input.tex.Tags.AbstractTags,e.NoTags=MathJax._.input.tex.Tags.NoTags,e.AllTags=MathJax._.input.tex.Tags.AllTags,e.TagsFactory=MathJax._.input.tex.Tags.TagsFactory},108:function(t,e){Object.defineProperty(e,"__esModule",{value:!0}),e.TexConstant=MathJax._.input.tex.TexConstants.TexConstant},402:function(t,e){Object.defineProperty(e,"__esModule",{value:!0}),e.default=MathJax._.input.tex.TexError.default},193:function(t,e){Object.defineProperty(e,"__esModule",{value:!0}),e.default=MathJax._.input.tex.TexParser.default},935:function(t,e){Object.defineProperty(e,"__esModule",{value:!0}),e.StartItem=MathJax._.input.tex.base.BaseItems.StartItem,e.StopItem=MathJax._.input.tex.base.BaseItems.StopItem,e.OpenItem=MathJax._.input.tex.base.BaseItems.OpenItem,e.CloseItem=MathJax._.input.tex.base.BaseItems.CloseItem,e.PrimeItem=MathJax._.input.tex.base.BaseItems.PrimeItem,e.SubsupItem=MathJax._.input.tex.base.BaseItems.SubsupItem,e.OverItem=MathJax._.input.tex.base.BaseItems.OverItem,e.LeftItem=MathJax._.input.tex.base.BaseItems.LeftItem,e.Middle=MathJax._.input.tex.base.BaseItems.Middle,e.RightItem=MathJax._.input.tex.base.BaseItems.RightItem,e.BeginItem=MathJax._.input.tex.base.BaseItems.BeginItem,e.EndItem=MathJax._.input.tex.base.BaseItems.EndItem,e.StyleItem=MathJax._.input.tex.base.BaseItems.StyleItem,e.PositionItem=MathJax._.input.tex.base.BaseItems.PositionItem,e.CellItem=MathJax._.input.tex.base.BaseItems.CellItem,e.MmlItem=MathJax._.input.tex.base.BaseItems.MmlItem,e.FnItem=MathJax._.input.tex.base.BaseItems.FnItem,e.NotItem=MathJax._.input.tex.base.BaseItems.NotItem,e.NonscriptItem=MathJax._.input.tex.base.BaseItems.NonscriptItem,e.DotsItem=MathJax._.input.tex.base.BaseItems.DotsItem,e.ArrayItem=MathJax._.input.tex.base.BaseItems.ArrayItem,e.EqnArrayItem=MathJax._.input.tex.base.BaseItems.EqnArrayItem,e.EquationItem=MathJax._.input.tex.base.BaseItems.EquationItem},360:function(t,e){Object.defineProperty(e,"__esModule",{value:!0}),e.default=MathJax._.input.tex.base.BaseMethods.default}},l={};function o(t){var e=l[t];if(void 0!==e)return e.exports;var a=l[t]={exports:{}};return i[t].call(a.exports,a,a.exports,o),a.exports}t=o(955),e=o(667),a=o(577),r=o(971),n=o(16),MathJax.loader&&MathJax.loader.checkVersion("[tex]/ams",e.q,"tex-extension"),(0,t.r8)({_:{input:{tex:{ams:{AmsConfiguration:a,AmsItems:r,AmsMethods:n}}}}})}();
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