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l.EnvironmentMap("AMSmath-environment",u.default.environment,{"equation*":["Equation",null,!1],"eqnarray*":["EqnArray",null,!1,!0,"rcl",d.default.cols(0,f.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 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l.CharacterMap("AMSsymbols-mathchar0mi",u.default.mathchar0mi,{digamma:"ϝ",varkappa:"ϰ",varGamma:["Γ",{mathvariant:c.TexConstant.Variant.ITALIC}],varDelta:["Δ",{mathvariant:c.TexConstant.Variant.ITALIC}],varTheta:["Θ",{mathvariant:c.TexConstant.Variant.ITALIC}],varLambda:["Λ",{mathvariant:c.TexConstant.Variant.ITALIC}],varXi:["Ξ",{mathvariant:c.TexConstant.Variant.ITALIC}],varPi:["Π",{mathvariant:c.TexConstant.Variant.ITALIC}],varSigma:["Σ",{mathvariant:c.TexConstant.Variant.ITALIC}],varUpsilon:["Υ",{mathvariant:c.TexConstant.Variant.ITALIC}],varPhi:["Φ",{mathvariant:c.TexConstant.Variant.ITALIC}],varPsi:["Ψ",{mathvariant:c.TexConstant.Variant.ITALIC}],varOmega:["Ω",{mathvariant:c.TexConstant.Variant.ITALIC}],beth:"ℶ",gimel:"ℷ",daleth:"ℸ",backprime:["‵",{variantForm:!0}],hslash:"ℏ",varnothing:["∅",{variantForm:!0}],blacktriangle:"▴",triangledown:["▽",{variantForm:!0}],blacktriangledown:"▾",square:"◻",Box:"◻",blacksquare:"◼",lozenge:"◊",Diamond:"◊",blacklozenge:"⧫",circledS:["Ⓢ",{mathvariant:c.TexConstant.Variant.NORMAL}],bigstar:"★",sphericalangle:"∢",measuredangle:"∡",nexists:"∄",complement:"∁",mho:"℧",eth:["ð",{mathvariant:c.TexConstant.Variant.NORMAL}],Finv:"Ⅎ",diagup:"╱",Game:"⅁",diagdown:"╲",Bbbk:["k",{mathvariant:c.TexConstant.Variant.DOUBLESTRUCK}],yen:"¥",circledR:"®",checkmark:"✓",maltese:"✠"}),new l.CharacterMap("AMSsymbols-mathchar0mo",u.default.mathchar0mo,{dotplus:"∔",ltimes:"⋉",smallsetminus:["∖",{variantForm:!0}],rtimes:"⋊",Cap:"⋒",doublecap:"⋒",leftthreetimes:"⋋",Cup:"⋓",doublecup:"⋓",rightthreetimes:"⋌",barwedge:"⊼",curlywedge:"⋏",veebar:"⊻",curlyvee:"⋎",doublebarwedge:"⩞",boxminus:"⊟",circleddash:"⊝",boxtimes:"⊠",circledast:"⊛",boxdot:"⊡",circledcirc:"⊚",boxplus:"⊞",centerdot:["⋅",{variantForm:!0}],divideontimes:"⋇",intercal:"⊺",leqq:"≦",geqq:"≧",leqslant:"⩽",geqslant:"⩾",eqslantless:"⪕",eqslantgtr:"⪖",lesssim:"≲",gtrsim:"≳",lessapprox:"⪅",gtrapprox:"⪆",approxeq:"≊",lessdot:"⋖",gtrdot:"⋗",lll:"⋘",llless:"⋘",ggg:"⋙",gggtr:"⋙",lessgtr:"≶",gtrless:"≷",lesseqgtr:"⋚",gtreqless:"⋛",lesseqqgtr:"⪋",gtreqqless:"⪌",doteqdot:"≑",Doteq:"≑",eqcirc:"≖",risingdotseq:"≓",circeq:"≗",fallingdotseq:"≒",triangleq:"≜",backsim:"∽",thicksim:["∼",{variantForm:!0}],backsimeq:"⋍",thickapprox:["≈",{variantForm:!0}],subseteqq:"⫅",supseteqq:"⫆",Subset:"⋐",Supset:"⋑",sqsubset:"⊏",sqsupset:"⊐",preccurlyeq:"≼",succcurlyeq:"≽",curlyeqprec:"⋞",curlyeqsucc:"⋟",precsim:"≾",succsim:"≿",precapprox:"⪷",succapprox:"⪸",vartriangleleft:"⊲",lhd:"⊲",vartriangleright:"⊳",rhd:"⊳",trianglelefteq:"⊴",unlhd:"⊴",trianglerighteq:"⊵",unrhd:"⊵",vDash:["⊨",{variantForm:!0}],Vdash:"⊩",Vvdash:"⊪",smallsmile:["⌣",{variantForm:!0}],shortmid:["∣",{variantForm:!0}],smallfrown:["⌢",{variantForm:!0}],shortparallel:["∥",{variantForm:!0}],bumpeq:"≏",between:"≬",Bumpeq:"≎",pitchfork:"⋔",varpropto:["∝",{variantForm:!0}],backepsilon:"∍",blacktriangleleft:"◂",blacktriangleright:"▸",therefore:"∴",because:"∵",eqsim:"≂",vartriangle:["△",{variantForm:!0}],Join:"⋈",nless:"≮",ngtr:"≯",nleq:"≰",ngeq:"≱",nleqslant:["⪇",{variantForm:!0}],ngeqslant:["⪈",{variantForm:!0}],nleqq:["≰",{variantForm:!0}],ngeqq:["≱",{variantForm:!0}],lneq:"⪇",gneq:"⪈",lneqq:"≨",gneqq:"≩",lvertneqq:["≨",{variantForm:!0}],gvertneqq:["≩",{variantForm:!0}],lnsim:"⋦",gnsim:"⋧",lnapprox:"⪉",gnapprox:"⪊",nprec:"⊀",nsucc:"⊁",npreceq:["⋠",{variantForm:!0}],nsucceq:["⋡",{variantForm:!0}],precneqq:"⪵",succneqq:"⪶",precnsim:"⋨",succnsim:"⋩",precnapprox:"⪹",succnapprox:"⪺",nsim:"≁",ncong:"≇",nshortmid:["∤",{variantForm:!0}],nshortparallel:["∦",{variantForm:!0}],nmid:"∤",nparallel:"∦",nvdash:"⊬",nvDash:"⊭",nVdash:"⊮",nVDash:"⊯",ntriangleleft:"⋪",ntriangleright:"⋫",ntrianglelefteq:"⋬",ntrianglerighteq:"⋭",nsubseteq:"⊈",nsupseteq:"⊉",nsubseteqq:["⊈",{variantForm:!0}],nsupseteqq:["⊉",{variantForm:!0}],subsetneq:"⊊",supsetneq:"⊋",varsubsetneq:["⊊",{variantForm:!0}],varsupsetneq:["⊋",{variantForm:!0}],subsetneqq:"⫋",supsetneqq:"⫌",varsubsetneqq:["⫋",{variantForm:!0}],varsupsetneqq:["⫌",{variantForm:!0}],leftleftarrows:"⇇",rightrightarrows:"⇉",leftrightarrows:"⇆",rightleftarrows:"⇄",Lleftarrow:"⇚",Rrightarrow:"⇛",twoheadleftarrow:"↞",twoheadrightarrow:"↠",leftarrowtail:"↢",rightarrowtail:"↣",looparrowleft:"↫",looparrowright:"↬",leftrightharpoons:"⇋",rightleftharpoons:["⇌",{variantForm:!0}],curvearrowleft:"↶",curvearrowright:"↷",circlearrowleft:"↺",circlearrowright:"↻",Lsh:"↰",Rsh:"↱",upuparrows:"⇈",downdownarrows:"⇊",upharpoonleft:"↿",upharpoonright:"↾",downharpoonleft:"⇃",restriction:"↾",multimap:"⊸",downharpoonright:"⇂",leftrightsquigarrow:"↭",rightsquigarrow:"⇝",leadsto:"⇝",dashrightarrow:"⇢",dashleftarrow:"⇠",nleftarrow:"↚",nrightarrow:"↛",nLeftarrow:"⇍",nRightarrow:"⇏",nleftrightarrow:"↮",nLeftrightarrow:"⇎"}),new l.DelimiterMap("AMSsymbols-delimiter",u.default.delimiter,{"\\ulcorner":"⌜","\\urcorner":"⌝","\\llcorner":"⌞","\\lrcorner":"⌟"}),new l.CommandMap("AMSsymbols-macros",{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]},s.AmsMethods)},42828:function(e,t,n){"use strict";var r=this&&this.__assign||function(){return(r=Object.assign||function(e){for(var t,n=1,r=arguments.length;n0)&&!(r=a.next()).done;)i.push(r.value)}catch(e){o={error:e}}finally{try{r&&!r.done&&(n=a.return)&&n.call(a)}finally{if(o)throw o.error}}return i},a=this&&this.__importDefault||function(e){return e&&e.__esModule?e:{default:e}};Object.defineProperty(t,"__esModule",{value:!0}),t.NEW_OPS=t.AmsMethods=void 0;var i=a(n(3378)),s=a(n(96004)),l=a(n(72895)),c=n(48948),u=a(n(42880)),d=a(n(48406)),p=n(56941),f=a(n(40871)),h=n(18426);function T(e){if(!e||e.isInferred&&0===e.childNodes.length)return[null,null];if(e.isKind("msubsup")&&m(e))return[e,null];var t=l.default.getChildAt(e,0);return e.isInferred&&t&&m(t)?(e.childNodes.splice(0,1),[t,e]):[null,e]}function m(e){var t=e.childNodes[0];return t&&t.isKind("mi")&&""===t.getText()}t.AmsMethods={},t.AmsMethods.AmsEqnArray=function(e,t,n,r,o,a,s){var l=e.GetBrackets("\\begin{"+t.getName()+"}"),c=f.default.EqnArray(e,t,n,r,o,a,s);return i.default.setArrayAlign(c,l)},t.AmsMethods.AlignAt=function(e,n,r,o){var a,s,l=n.getName(),c="",u=[];if(o||(s=e.GetBrackets("\\begin{"+l+"}")),(a=e.GetArgument("\\begin{"+l+"}")).match(/[^0-9]/))throw new d.default("PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l+"}");for(var p=parseInt(a,10);p>0;)c+="rl",u.push("0em 0em"),p--;var f=u.join(" ");if(o)return t.AmsMethods.EqnArray(e,n,r,o,c,f);var h=t.AmsMethods.EqnArray(e,n,r,o,c,f);return i.default.setArrayAlign(h,s)},t.AmsMethods.Multline=function(e,t,n){e.Push(t),i.default.checkEqnEnv(e);var r=e.itemFactory.create("multline",n,e.stack);return r.arraydef={displaystyle:!0,rowspacing:".5em",columnspacing:"100%",width:e.options.ams.multlineWidth,side:e.options.tagSide,minlabelspacing:e.options.tagIndent,framespacing:e.options.ams.multlineIndent+" 0",frame:"","data-width-includes-label":!0},r},t.AmsMethods.XalignAt=function(e,n,r,o){var a=e.GetArgument("\\begin{"+n.getName()+"}");if(a.match(/[^0-9]/))throw new d.default("PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+n.getName()+"}");var i=t.AmsMethods.FlalignArray(e,n,r,o,!1,o?"crl":"rlc",o?"fit auto auto":"auto auto fit",!0);return i.setProperty("xalignat",2*parseInt(a)),i},t.AmsMethods.FlalignArray=function(e,t,n,r,o,a,s,l){void 0===l&&(l=!1),e.Push(t),i.default.checkEqnEnv(e),a=a.split("").join(" ").replace(/r/g,"right").replace(/l/g,"left").replace(/c/g,"center");var c=e.itemFactory.create("flalign",t.getName(),n,r,o,e.stack);return c.arraydef={width:"100%",displaystyle:!0,columnalign:a,columnspacing:"0em",columnwidth:s,rowspacing:"3pt",side:e.options.tagSide,minlabelspacing:l?"0":e.options.tagIndent,"data-width-includes-label":!0},c.setProperty("zeroWidthLabel",l),c},t.NEW_OPS="ams-declare-ops",t.AmsMethods.HandleDeclareOp=function(e,n){var r=e.GetStar()?"*":"",o=i.default.trimSpaces(e.GetArgument(n));"\\"===o.charAt(0)&&(o=o.substr(1));var a=e.GetArgument(n);e.configuration.handlers.retrieve(t.NEW_OPS).add(o,new p.Macro(o,t.AmsMethods.Macro,["\\operatorname".concat(r,"{").concat(a,"}")]))},t.AmsMethods.HandleOperatorName=function(e,t){var n=e.GetStar(),o=i.default.trimSpaces(e.GetArgument(t)),a=new u.default(o,r(r({},e.stack.env),{font:c.TexConstant.Variant.NORMAL,multiLetterIdentifiers:/^[-*a-z]+/i,operatorLetters:!0}),e.configuration).mml();if(a.isKind("mi")||(a=e.create("node","TeXAtom",[a])),l.default.setProperties(a,{movesupsub:n,movablelimits:!0,texClass:h.TEXCLASS.OP}),!n){var s=e.GetNext(),d=e.i;"\\"===s&&++e.i&&"limits"!==e.GetCS()&&(e.i=d)}e.Push(a)},t.AmsMethods.SideSet=function(e,t){var n=o(T(e.ParseArg(t)),2),r=n[0],a=n[1],s=o(T(e.ParseArg(t)),2),c=s[0],u=s[1],d=e.ParseArg(t),p=d;r&&(a?r.replaceChild(e.create("node","mphantom",[e.create("node","mpadded",[i.default.copyNode(d,e)],{width:0})]),l.default.getChildAt(r,0)):(p=e.create("node","mmultiscripts",[d]),c&&l.default.appendChildren(p,[l.default.getChildAt(c,1)||e.create("node","none"),l.default.getChildAt(c,2)||e.create("node","none")]),l.default.setProperty(p,"scriptalign","left"),l.default.appendChildren(p,[e.create("node","mprescripts"),l.default.getChildAt(r,1)||e.create("node","none"),l.default.getChildAt(r,2)||e.create("node","none")]))),c&&p===d&&(c.replaceChild(d,l.default.getChildAt(c,0)),p=c);var f=e.create("node","TeXAtom",[],{texClass:h.TEXCLASS.OP,movesupsub:!0,movablelimits:!0});a&&(r&&f.appendChild(r),f.appendChild(a)),f.appendChild(p),u&&f.appendChild(u),e.Push(f)},t.AmsMethods.operatorLetter=function(e,t){return!!e.stack.env.operatorLetters&&s.default.variable(e,t)},t.AmsMethods.MultiIntegral=function(e,t,n){var r=e.GetNext();if("\\"===r){var o=e.i;r=e.GetArgument(t),e.i=o,"\\limits"===r&&(n="\\idotsint"===t?"\\!\\!\\mathop{\\,\\,"+n+"}":"\\!\\!\\!\\mathop{\\,\\,\\,"+n+"}")}e.string=n+" "+e.string.slice(e.i),e.i=0},t.AmsMethods.xArrow=function(e,t,n,r,o){var a={width:"+"+i.default.Em((r+o)/18),lspace:i.default.Em(r/18)},s=e.GetBrackets(t),c=e.ParseArg(t),d=e.create("node","mspace",[],{depth:".25em"}),p=e.create("token","mo",{stretchy:!0,texClass:h.TEXCLASS.REL},String.fromCodePoint(n));p=e.create("node","mstyle",[p],{scriptlevel:0});var f=e.create("node","munderover",[p]),T=e.create("node","mpadded",[c,d],a);if(l.default.setAttribute(T,"voffset","-.2em"),l.default.setAttribute(T,"height","-.2em"),l.default.setChild(f,f.over,T),s){var m=new u.default(s,e.stack.env,e.configuration).mml(),g=e.create("node","mspace",[],{height:".75em"});T=e.create("node","mpadded",[m,g],a),l.default.setAttribute(T,"voffset",".15em"),l.default.setAttribute(T,"depth","-.15em"),l.default.setChild(f,f.under,T)}l.default.setProperty(f,"subsupOK",!0),e.Push(f)},t.AmsMethods.HandleShove=function(e,t,n){var r=e.stack.Top();if("multline"!==r.kind)throw new d.default("CommandOnlyAllowedInEnv","%1 only allowed in %2 environment",e.currentCS,"multline");if(r.Size())throw new d.default("CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",e.currentCS);r.setProperty("shove",n)},t.AmsMethods.CFrac=function(e,t){var n=i.default.trimSpaces(e.GetBrackets(t,"")),r=e.GetArgument(t),o=e.GetArgument(t),a={l:c.TexConstant.Align.LEFT,r:c.TexConstant.Align.RIGHT,"":""},s=new u.default("\\strut\\textstyle{"+r+"}",e.stack.env,e.configuration).mml(),p=new u.default("\\strut\\textstyle{"+o+"}",e.stack.env,e.configuration).mml(),f=e.create("node","mfrac",[s,p]);if(null==(n=a[n]))throw new d.default("IllegalAlign","Illegal alignment specified in %1",e.currentCS);n&&l.default.setProperties(f,{numalign:n,denomalign:n}),e.Push(f)},t.AmsMethods.Genfrac=function(e,t,n,r,o,a){null==n&&(n=e.GetDelimiterArg(t)),null==r&&(r=e.GetDelimiterArg(t)),null==o&&(o=e.GetArgument(t)),null==a&&(a=i.default.trimSpaces(e.GetArgument(t)));var s=e.ParseArg(t),c=e.ParseArg(t),u=e.create("node","mfrac",[s,c]);if(""!==o&&l.default.setAttribute(u,"linethickness",o),(n||r)&&(l.default.setProperty(u,"withDelims",!0),u=i.default.fixedFence(e.configuration,n,u,r)),""!==a){var p=parseInt(a,10),f=["D","T","S","SS"][p];if(null==f)throw new d.default("BadMathStyleFor","Bad math style for %1",e.currentCS);u=e.create("node","mstyle",[u]),"D"===f?l.default.setProperties(u,{displaystyle:!0,scriptlevel:0}):l.default.setProperties(u,{displaystyle:!1,scriptlevel:p-1})}e.Push(u)},t.AmsMethods.HandleTag=function(e,t){if(!e.tags.currentTag.taggable&&e.tags.env)throw new d.default("CommandNotAllowedInEnv","%1 not allowed in %2 environment",e.currentCS,e.tags.env);if(e.tags.currentTag.tag)throw new d.default("MultipleCommand","Multiple %1",e.currentCS);var n=e.GetStar(),r=i.default.trimSpaces(e.GetArgument(t));e.tags.tag(r,n)},t.AmsMethods.HandleNoTag=f.default.HandleNoTag,t.AmsMethods.HandleRef=f.default.HandleRef,t.AmsMethods.Macro=f.default.Macro,t.AmsMethods.Accent=f.default.Accent,t.AmsMethods.Tilde=f.default.Tilde,t.AmsMethods.Array=f.default.Array,t.AmsMethods.Spacer=f.default.Spacer,t.AmsMethods.NamedOp=f.default.NamedOp,t.AmsMethods.EqnArray=f.default.EqnArray,t.AmsMethods.Equation=f.default.Equation},49799:function(e,t,n){"use strict";Object.defineProperty(t,"__esModule",{value:!0}),t.AmsCdConfiguration=void 0;var r=n(23644);n(1158),t.AmsCdConfiguration=r.Configuration.create("amscd",{handler:{character:["amscd_special"],macro:["amscd_macros"],environment:["amscd_environment"]},options:{amscd:{colspace:"5pt",rowspace:"5pt",harrowsize:"2.75em",varrowsize:"1.75em",hideHorizontalLabels:!1}}})},1158:function(e,t,n){"use strict";var r=this&&this.__createBinding||(Object.create?function(e,t,n,r){void 0===r&&(r=n);var 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