From 33fa95c92bfe77e5d77038cd35e04650318c7543 Mon Sep 17 00:00:00 2001 From: hossainemruz Date: Fri, 14 Jan 2022 01:04:17 +0600 Subject: [PATCH] Replace CDN with local files for LaTex resources + Fix flag error Signed-off-by: hossainemruz --- layouts/partials/header.html | 2 +- layouts/partials/navigators/floating-lang-selector.html | 4 ++-- layouts/partials/scripts.html | 4 ++-- static/css/katex.min.css | 1 + static/js/auto-render.min.js | 1 + static/js/katex.min.js | 1 + 6 files changed, 8 insertions(+), 5 deletions(-) create mode 100644 static/css/katex.min.css create mode 100644 static/js/auto-render.min.js create mode 100644 static/js/katex.min.js diff --git a/layouts/partials/header.html b/layouts/partials/header.html index 76a64c6..1f0d9ff 100644 --- a/layouts/partials/header.html +++ b/layouts/partials/header.html @@ -8,11 +8,11 @@ + - {{/* add favicon only if the site author has provided the the favicon */}} diff --git a/layouts/partials/navigators/floating-lang-selector.html b/layouts/partials/navigators/floating-lang-selector.html index 4ac752d..625c01f 100644 --- a/layouts/partials/navigators/floating-lang-selector.html +++ b/layouts/partials/navigators/floating-lang-selector.html @@ -6,14 +6,14 @@
{{ range .Translations }} {{ $countryCode := partial "helpers/country-code.html" . }} - {{ $countryCode }} + {{ .Language.LanguageName }} {{ end }} diff --git a/layouts/partials/scripts.html b/layouts/partials/scripts.html index 0abc5a3..b585348 100644 --- a/layouts/partials/scripts.html +++ b/layouts/partials/scripts.html @@ -6,5 +6,5 @@ - - + + diff --git a/static/css/katex.min.css b/static/css/katex.min.css new file mode 100644 index 0000000..b2dd9fc --- /dev/null +++ b/static/css/katex.min.css @@ -0,0 +1 @@ +@font-face{font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(fonts/KaTeX_AMS-Regular.woff2) format("woff2"),url(fonts/KaTeX_AMS-Regular.woff) format("woff"),url(fonts/KaTeX_AMS-Regular.ttf) format("truetype")}@font-face{font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(fonts/KaTeX_Caligraphic-Bold.woff2) format("woff2"),url(fonts/KaTeX_Caligraphic-Bold.woff) format("woff"),url(fonts/KaTeX_Caligraphic-Bold.ttf) format("truetype")}@font-face{font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(fonts/KaTeX_Caligraphic-Regular.woff2) format("woff2"),url(fonts/KaTeX_Caligraphic-Regular.woff) format("woff"),url(fonts/KaTeX_Caligraphic-Regular.ttf) format("truetype")}@font-face{font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(fonts/KaTeX_Fraktur-Bold.woff2) format("woff2"),url(fonts/KaTeX_Fraktur-Bold.woff) format("woff"),url(fonts/KaTeX_Fraktur-Bold.ttf) format("truetype")}@font-face{font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(fonts/KaTeX_Fraktur-Regular.woff2) format("woff2"),url(fonts/KaTeX_Fraktur-Regular.woff) format("woff"),url(fonts/KaTeX_Fraktur-Regular.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url(fonts/KaTeX_Main-Bold.woff2) format("woff2"),url(fonts/KaTeX_Main-Bold.woff) format("woff"),url(fonts/KaTeX_Main-Bold.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(fonts/KaTeX_Main-BoldItalic.woff2) format("woff2"),url(fonts/KaTeX_Main-BoldItalic.woff) format("woff"),url(fonts/KaTeX_Main-BoldItalic.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(fonts/KaTeX_Main-Italic.woff2) format("woff2"),url(fonts/KaTeX_Main-Italic.woff) format("woff"),url(fonts/KaTeX_Main-Italic.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(fonts/KaTeX_Main-Regular.woff2) format("woff2"),url(fonts/KaTeX_Main-Regular.woff) format("woff"),url(fonts/KaTeX_Main-Regular.ttf) format("truetype")}@font-face{font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(fonts/KaTeX_Math-BoldItalic.woff2) format("woff2"),url(fonts/KaTeX_Math-BoldItalic.woff) format("woff"),url(fonts/KaTeX_Math-BoldItalic.ttf) format("truetype")}@font-face{font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(fonts/KaTeX_Math-Italic.woff2) format("woff2"),url(fonts/KaTeX_Math-Italic.woff) format("woff"),url(fonts/KaTeX_Math-Italic.ttf) format("truetype")}@font-face{font-family:"KaTeX_SansSerif";font-style:normal;font-weight:700;src:url(fonts/KaTeX_SansSerif-Bold.woff2) format("woff2"),url(fonts/KaTeX_SansSerif-Bold.woff) format("woff"),url(fonts/KaTeX_SansSerif-Bold.ttf) format("truetype")}@font-face{font-family:"KaTeX_SansSerif";font-style:italic;font-weight:400;src:url(fonts/KaTeX_SansSerif-Italic.woff2) format("woff2"),url(fonts/KaTeX_SansSerif-Italic.woff) format("woff"),url(fonts/KaTeX_SansSerif-Italic.ttf) format("truetype")}@font-face{font-family:"KaTeX_SansSerif";font-style:normal;font-weight:400;src:url(fonts/KaTeX_SansSerif-Regular.woff2) format("woff2"),url(fonts/KaTeX_SansSerif-Regular.woff) format("woff"),url(fonts/KaTeX_SansSerif-Regular.ttf) format("truetype")}@font-face{font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(fonts/KaTeX_Script-Regular.woff2) format("woff2"),url(fonts/KaTeX_Script-Regular.woff) format("woff"),url(fonts/KaTeX_Script-Regular.ttf) format("truetype")}@font-face{font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(fonts/KaTeX_Size1-Regular.woff2) format("woff2"),url(fonts/KaTeX_Size1-Regular.woff) format("woff"),url(fonts/KaTeX_Size1-Regular.ttf) format("truetype")}@font-face{font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url(fonts/KaTeX_Size2-Regular.woff2) format("woff2"),url(fonts/KaTeX_Size2-Regular.woff) format("woff"),url(fonts/KaTeX_Size2-Regular.ttf) format("truetype")}@font-face{font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url(fonts/KaTeX_Size3-Regular.woff2) format("woff2"),url(fonts/KaTeX_Size3-Regular.woff) format("woff"),url(fonts/KaTeX_Size3-Regular.ttf) format("truetype")}@font-face{font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(fonts/KaTeX_Size4-Regular.woff2) format("woff2"),url(fonts/KaTeX_Size4-Regular.woff) format("woff"),url(fonts/KaTeX_Size4-Regular.ttf) format("truetype")}@font-face{font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(fonts/KaTeX_Typewriter-Regular.woff2) format("woff2"),url(fonts/KaTeX_Typewriter-Regular.woff) format("woff"),url(fonts/KaTeX_Typewriter-Regular.ttf) format("truetype")}.katex{text-rendering:auto;font:normal 1.21em KaTeX_Main,Times New Roman,serif;line-height:1.2;text-indent:0}.katex *{-ms-high-contrast-adjust:none!important;border-color:currentColor}.katex .katex-version:after{content:"0.15.1"}.katex .katex-mathml{clip:rect(1px,1px,1px,1px);border:0;height:1px;overflow:hidden;padding:0;position:absolute;width:1px}.katex .katex-html>.newline{display:block}.katex .base{position:relative;white-space:nowrap;width:-webkit-min-content;width:-moz-min-content;width:min-content}.katex .base,.katex .strut{display:inline-block}.katex .textbf{font-weight:700}.katex .textit{font-style:italic}.katex .textrm{font-family:KaTeX_Main}.katex .textsf{font-family:KaTeX_SansSerif}.katex .texttt{font-family:KaTeX_Typewriter}.katex .mathnormal{font-family:KaTeX_Math;font-style:italic}.katex .mathit{font-family:KaTeX_Main;font-style:italic}.katex .mathrm{font-style:normal}.katex .mathbf{font-family:KaTeX_Main;font-weight:700}.katex .boldsymbol{font-family:KaTeX_Math;font-style:italic;font-weight:700}.katex .amsrm,.katex .mathbb,.katex .textbb{font-family:KaTeX_AMS}.katex .mathcal{font-family:KaTeX_Caligraphic}.katex .mathfrak,.katex .textfrak{font-family:KaTeX_Fraktur}.katex .mathtt{font-family:KaTeX_Typewriter}.katex .mathscr,.katex .textscr{font-family:KaTeX_Script}.katex .mathsf,.katex .textsf{font-family:KaTeX_SansSerif}.katex .mathboldsf,.katex .textboldsf{font-family:KaTeX_SansSerif;font-weight:700}.katex .mathitsf,.katex .textitsf{font-family:KaTeX_SansSerif;font-style:italic}.katex .mainrm{font-family:KaTeX_Main;font-style:normal}.katex .vlist-t{border-collapse:collapse;display:inline-table;table-layout:fixed}.katex .vlist-r{display:table-row}.katex .vlist{display:table-cell;position:relative;vertical-align:bottom}.katex .vlist>span{display:block;height:0;position:relative}.katex .vlist>span>span{display:inline-block}.katex .vlist>span>.pstrut{overflow:hidden;width:0}.katex .vlist-t2{margin-right:-2px}.katex .vlist-s{display:table-cell;font-size:1px;min-width:2px;vertical-align:bottom;width:2px}.katex .vbox{align-items:baseline;display:inline-flex;flex-direction:column}.katex .hbox{width:100%}.katex .hbox,.katex .thinbox{display:inline-flex;flex-direction:row}.katex .thinbox{max-width:0;width:0}.katex .msupsub{text-align:left}.katex .mfrac>span>span{text-align:center}.katex .mfrac .frac-line{border-bottom-style:solid;display:inline-block;width:100%}.katex .hdashline,.katex .hline,.katex .mfrac .frac-line,.katex .overline .overline-line,.katex .rule,.katex .underline .underline-line{min-height:1px}.katex .mspace{display:inline-block}.katex .clap,.katex .llap,.katex .rlap{position:relative;width:0}.katex .clap>.inner,.katex .llap>.inner,.katex .rlap>.inner{position:absolute}.katex .clap>.fix,.katex .llap>.fix,.katex .rlap>.fix{display:inline-block}.katex .llap>.inner{right:0}.katex .clap>.inner,.katex .rlap>.inner{left:0}.katex .clap>.inner>span{margin-left:-50%;margin-right:50%}.katex .rule{border:0 solid;display:inline-block;position:relative}.katex .hline,.katex .overline .overline-line,.katex .underline .underline-line{border-bottom-style:solid;display:inline-block;width:100%}.katex .hdashline{border-bottom-style:dashed;display:inline-block;width:100%}.katex .sqrt>.root{margin-left:.27777778em;margin-right:-.55555556em}.katex .fontsize-ensurer.reset-size1.size1,.katex .sizing.reset-size1.size1{font-size:1em}.katex .fontsize-ensurer.reset-size1.size2,.katex .sizing.reset-size1.size2{font-size:1.2em}.katex .fontsize-ensurer.reset-size1.size3,.katex .sizing.reset-size1.size3{font-size:1.4em}.katex .fontsize-ensurer.reset-size1.size4,.katex .sizing.reset-size1.size4{font-size:1.6em}.katex .fontsize-ensurer.reset-size1.size5,.katex .sizing.reset-size1.size5{font-size:1.8em}.katex .fontsize-ensurer.reset-size1.size6,.katex .sizing.reset-size1.size6{font-size:2em}.katex .fontsize-ensurer.reset-size1.size7,.katex .sizing.reset-size1.size7{font-size:2.4em}.katex .fontsize-ensurer.reset-size1.size8,.katex .sizing.reset-size1.size8{font-size:2.88em}.katex .fontsize-ensurer.reset-size1.size9,.katex .sizing.reset-size1.size9{font-size:3.456em}.katex .fontsize-ensurer.reset-size1.size10,.katex .sizing.reset-size1.size10{font-size:4.148em}.katex .fontsize-ensurer.reset-size1.size11,.katex .sizing.reset-size1.size11{font-size:4.976em}.katex .fontsize-ensurer.reset-size2.size1,.katex .sizing.reset-size2.size1{font-size:.83333333em}.katex .fontsize-ensurer.reset-size2.size2,.katex .sizing.reset-size2.size2{font-size:1em}.katex .fontsize-ensurer.reset-size2.size3,.katex .sizing.reset-size2.size3{font-size:1.16666667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .sizing.reset-size2.size4{font-size:1.33333333em}.katex .fontsize-ensurer.reset-size2.size5,.katex .sizing.reset-size2.size5{font-size:1.5em}.katex .fontsize-ensurer.reset-size2.size6,.katex .sizing.reset-size2.size6{font-size:1.66666667em}.katex .fontsize-ensurer.reset-size2.size7,.katex .sizing.reset-size2.size7{font-size:2em}.katex .fontsize-ensurer.reset-size2.size8,.katex .sizing.reset-size2.size8{font-size:2.4em}.katex .fontsize-ensurer.reset-size2.size9,.katex .sizing.reset-size2.size9{font-size:2.88em}.katex .fontsize-ensurer.reset-size2.size10,.katex .sizing.reset-size2.size10{font-size:3.45666667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .sizing.reset-size2.size11{font-size:4.14666667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .sizing.reset-size3.size1{font-size:.71428571em}.katex .fontsize-ensurer.reset-size3.size2,.katex .sizing.reset-size3.size2{font-size:.85714286em}.katex .fontsize-ensurer.reset-size3.size3,.katex .sizing.reset-size3.size3{font-size:1em}.katex .fontsize-ensurer.reset-size3.size4,.katex .sizing.reset-size3.size4{font-size:1.14285714em}.katex .fontsize-ensurer.reset-size3.size5,.katex .sizing.reset-size3.size5{font-size:1.28571429em}.katex .fontsize-ensurer.reset-size3.size6,.katex .sizing.reset-size3.size6{font-size:1.42857143em}.katex .fontsize-ensurer.reset-size3.size7,.katex .sizing.reset-size3.size7{font-size:1.71428571em}.katex .fontsize-ensurer.reset-size3.size8,.katex .sizing.reset-size3.size8{font-size:2.05714286em}.katex .fontsize-ensurer.reset-size3.size9,.katex .sizing.reset-size3.size9{font-size:2.46857143em}.katex .fontsize-ensurer.reset-size3.size10,.katex .sizing.reset-size3.size10{font-size:2.96285714em}.katex .fontsize-ensurer.reset-size3.size11,.katex .sizing.reset-size3.size11{font-size:3.55428571em}.katex .fontsize-ensurer.reset-size4.size1,.katex .sizing.reset-size4.size1{font-size:.625em}.katex .fontsize-ensurer.reset-size4.size2,.katex .sizing.reset-size4.size2{font-size:.75em}.katex .fontsize-ensurer.reset-size4.size3,.katex .sizing.reset-size4.size3{font-size:.875em}.katex .fontsize-ensurer.reset-size4.size4,.katex .sizing.reset-size4.size4{font-size:1em}.katex .fontsize-ensurer.reset-size4.size5,.katex .sizing.reset-size4.size5{font-size:1.125em}.katex .fontsize-ensurer.reset-size4.size6,.katex .sizing.reset-size4.size6{font-size:1.25em}.katex .fontsize-ensurer.reset-size4.size7,.katex .sizing.reset-size4.size7{font-size:1.5em}.katex .fontsize-ensurer.reset-size4.size8,.katex .sizing.reset-size4.size8{font-size:1.8em}.katex .fontsize-ensurer.reset-size4.size9,.katex .sizing.reset-size4.size9{font-size:2.16em}.katex .fontsize-ensurer.reset-size4.size10,.katex .sizing.reset-size4.size10{font-size:2.5925em}.katex .fontsize-ensurer.reset-size4.size11,.katex .sizing.reset-size4.size11{font-size:3.11em}.katex .fontsize-ensurer.reset-size5.size1,.katex .sizing.reset-size5.size1{font-size:.55555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .sizing.reset-size5.size2{font-size:.66666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .sizing.reset-size5.size3{font-size:.77777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .sizing.reset-size5.size4{font-size:.88888889em}.katex .fontsize-ensurer.reset-size5.size5,.katex .sizing.reset-size5.size5{font-size:1em}.katex .fontsize-ensurer.reset-size5.size6,.katex .sizing.reset-size5.size6{font-size:1.11111111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .sizing.reset-size5.size7{font-size:1.33333333em}.katex .fontsize-ensurer.reset-size5.size8,.katex .sizing.reset-size5.size8{font-size:1.6em}.katex .fontsize-ensurer.reset-size5.size9,.katex .sizing.reset-size5.size9{font-size:1.92em}.katex .fontsize-ensurer.reset-size5.size10,.katex .sizing.reset-size5.size10{font-size:2.30444444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .sizing.reset-size5.size11{font-size:2.76444444em}.katex .fontsize-ensurer.reset-size6.size1,.katex .sizing.reset-size6.size1{font-size:.5em}.katex .fontsize-ensurer.reset-size6.size2,.katex .sizing.reset-size6.size2{font-size:.6em}.katex .fontsize-ensurer.reset-size6.size3,.katex .sizing.reset-size6.size3{font-size:.7em}.katex .fontsize-ensurer.reset-size6.size4,.katex .sizing.reset-size6.size4{font-size:.8em}.katex .fontsize-ensurer.reset-size6.size5,.katex .sizing.reset-size6.size5{font-size:.9em}.katex .fontsize-ensurer.reset-size6.size6,.katex .sizing.reset-size6.size6{font-size:1em}.katex .fontsize-ensurer.reset-size6.size7,.katex .sizing.reset-size6.size7{font-size:1.2em}.katex .fontsize-ensurer.reset-size6.size8,.katex .sizing.reset-size6.size8{font-size:1.44em}.katex .fontsize-ensurer.reset-size6.size9,.katex .sizing.reset-size6.size9{font-size:1.728em}.katex .fontsize-ensurer.reset-size6.size10,.katex .sizing.reset-size6.size10{font-size:2.074em}.katex .fontsize-ensurer.reset-size6.size11,.katex .sizing.reset-size6.size11{font-size:2.488em}.katex .fontsize-ensurer.reset-size7.size1,.katex .sizing.reset-size7.size1{font-size:.41666667em}.katex .fontsize-ensurer.reset-size7.size2,.katex .sizing.reset-size7.size2{font-size:.5em}.katex .fontsize-ensurer.reset-size7.size3,.katex .sizing.reset-size7.size3{font-size:.58333333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .sizing.reset-size7.size4{font-size:.66666667em}.katex .fontsize-ensurer.reset-size7.size5,.katex .sizing.reset-size7.size5{font-size:.75em}.katex .fontsize-ensurer.reset-size7.size6,.katex .sizing.reset-size7.size6{font-size:.83333333em}.katex .fontsize-ensurer.reset-size7.size7,.katex .sizing.reset-size7.size7{font-size:1em}.katex .fontsize-ensurer.reset-size7.size8,.katex .sizing.reset-size7.size8{font-size:1.2em}.katex .fontsize-ensurer.reset-size7.size9,.katex .sizing.reset-size7.size9{font-size:1.44em}.katex .fontsize-ensurer.reset-size7.size10,.katex .sizing.reset-size7.size10{font-size:1.72833333em}.katex .fontsize-ensurer.reset-size7.size11,.katex .sizing.reset-size7.size11{font-size:2.07333333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .sizing.reset-size8.size1{font-size:.34722222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .sizing.reset-size8.size2{font-size:.41666667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .sizing.reset-size8.size3{font-size:.48611111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .sizing.reset-size8.size4{font-size:.55555556em}.katex .fontsize-ensurer.reset-size8.size5,.katex .sizing.reset-size8.size5{font-size:.625em}.katex .fontsize-ensurer.reset-size8.size6,.katex .sizing.reset-size8.size6{font-size:.69444444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .sizing.reset-size8.size7{font-size:.83333333em}.katex .fontsize-ensurer.reset-size8.size8,.katex .sizing.reset-size8.size8{font-size:1em}.katex .fontsize-ensurer.reset-size8.size9,.katex .sizing.reset-size8.size9{font-size:1.2em}.katex .fontsize-ensurer.reset-size8.size10,.katex .sizing.reset-size8.size10{font-size:1.44027778em}.katex .fontsize-ensurer.reset-size8.size11,.katex .sizing.reset-size8.size11{font-size:1.72777778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .sizing.reset-size9.size1{font-size:.28935185em}.katex .fontsize-ensurer.reset-size9.size2,.katex .sizing.reset-size9.size2{font-size:.34722222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .sizing.reset-size9.size3{font-size:.40509259em}.katex .fontsize-ensurer.reset-size9.size4,.katex .sizing.reset-size9.size4{font-size:.46296296em}.katex .fontsize-ensurer.reset-size9.size5,.katex .sizing.reset-size9.size5{font-size:.52083333em}.katex .fontsize-ensurer.reset-size9.size6,.katex .sizing.reset-size9.size6{font-size:.5787037em}.katex .fontsize-ensurer.reset-size9.size7,.katex .sizing.reset-size9.size7{font-size:.69444444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .sizing.reset-size9.size8{font-size:.83333333em}.katex .fontsize-ensurer.reset-size9.size9,.katex .sizing.reset-size9.size9{font-size:1em}.katex .fontsize-ensurer.reset-size9.size10,.katex .sizing.reset-size9.size10{font-size:1.20023148em}.katex .fontsize-ensurer.reset-size9.size11,.katex .sizing.reset-size9.size11{font-size:1.43981481em}.katex .fontsize-ensurer.reset-size10.size1,.katex .sizing.reset-size10.size1{font-size:.24108004em}.katex .fontsize-ensurer.reset-size10.size2,.katex .sizing.reset-size10.size2{font-size:.28929605em}.katex .fontsize-ensurer.reset-size10.size3,.katex .sizing.reset-size10.size3{font-size:.33751205em}.katex .fontsize-ensurer.reset-size10.size4,.katex .sizing.reset-size10.size4{font-size:.38572806em}.katex .fontsize-ensurer.reset-size10.size5,.katex .sizing.reset-size10.size5{font-size:.43394407em}.katex .fontsize-ensurer.reset-size10.size6,.katex .sizing.reset-size10.size6{font-size:.48216008em}.katex .fontsize-ensurer.reset-size10.size7,.katex .sizing.reset-size10.size7{font-size:.57859209em}.katex .fontsize-ensurer.reset-size10.size8,.katex .sizing.reset-size10.size8{font-size:.69431051em}.katex .fontsize-ensurer.reset-size10.size9,.katex .sizing.reset-size10.size9{font-size:.83317261em}.katex .fontsize-ensurer.reset-size10.size10,.katex .sizing.reset-size10.size10{font-size:1em}.katex .fontsize-ensurer.reset-size10.size11,.katex .sizing.reset-size10.size11{font-size:1.19961427em}.katex .fontsize-ensurer.reset-size11.size1,.katex .sizing.reset-size11.size1{font-size:.20096463em}.katex .fontsize-ensurer.reset-size11.size2,.katex .sizing.reset-size11.size2{font-size:.24115756em}.katex .fontsize-ensurer.reset-size11.size3,.katex .sizing.reset-size11.size3{font-size:.28135048em}.katex .fontsize-ensurer.reset-size11.size4,.katex .sizing.reset-size11.size4{font-size:.32154341em}.katex .fontsize-ensurer.reset-size11.size5,.katex .sizing.reset-size11.size5{font-size:.36173633em}.katex .fontsize-ensurer.reset-size11.size6,.katex .sizing.reset-size11.size6{font-size:.40192926em}.katex .fontsize-ensurer.reset-size11.size7,.katex .sizing.reset-size11.size7{font-size:.48231511em}.katex .fontsize-ensurer.reset-size11.size8,.katex .sizing.reset-size11.size8{font-size:.57877814em}.katex .fontsize-ensurer.reset-size11.size9,.katex .sizing.reset-size11.size9{font-size:.69453376em}.katex .fontsize-ensurer.reset-size11.size10,.katex .sizing.reset-size11.size10{font-size:.83360129em}.katex .fontsize-ensurer.reset-size11.size11,.katex .sizing.reset-size11.size11{font-size:1em}.katex .delimsizing.size1{font-family:KaTeX_Size1}.katex .delimsizing.size2{font-family:KaTeX_Size2}.katex .delimsizing.size3{font-family:KaTeX_Size3}.katex .delimsizing.size4{font-family:KaTeX_Size4}.katex .delimsizing.mult .delim-size1>span{font-family:KaTeX_Size1}.katex .delimsizing.mult .delim-size4>span{font-family:KaTeX_Size4}.katex .nulldelimiter{display:inline-block;width:.12em}.katex .delimcenter,.katex .op-symbol{position:relative}.katex .op-symbol.small-op{font-family:KaTeX_Size1}.katex .op-symbol.large-op{font-family:KaTeX_Size2}.katex .accent>.vlist-t,.katex .op-limits>.vlist-t{text-align:center}.katex .accent .accent-body{position:relative}.katex .accent .accent-body:not(.accent-full){width:0}.katex .overlay{display:block}.katex .mtable .vertical-separator{display:inline-block;min-width:1px}.katex .mtable .arraycolsep{display:inline-block}.katex .mtable .col-align-c>.vlist-t{text-align:center}.katex .mtable .col-align-l>.vlist-t{text-align:left}.katex .mtable .col-align-r>.vlist-t{text-align:right}.katex .svg-align{text-align:left}.katex svg{fill:currentColor;stroke:currentColor;fill-rule:nonzero;fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1;display:block;height:inherit;position:absolute;width:100%}.katex svg path{stroke:none}.katex img{border-style:none;max-height:none;max-width:none;min-height:0;min-width:0}.katex .stretchy{display:block;overflow:hidden;position:relative;width:100%}.katex .stretchy:after,.katex .stretchy:before{content:""}.katex .hide-tail{overflow:hidden;position:relative;width:100%}.katex .halfarrow-left{left:0;overflow:hidden;position:absolute;width:50.2%}.katex .halfarrow-right{overflow:hidden;position:absolute;right:0;width:50.2%}.katex .brace-left{left:0;overflow:hidden;position:absolute;width:25.1%}.katex .brace-center{left:25%;overflow:hidden;position:absolute;width:50%}.katex .brace-right{overflow:hidden;position:absolute;right:0;width:25.1%}.katex .x-arrow-pad{padding:0 .5em}.katex .cd-arrow-pad{padding:0 .55556em 0 .27778em}.katex .mover,.katex .munder,.katex .x-arrow{text-align:center}.katex .boxpad{padding:0 .3em}.katex .fbox,.katex .fcolorbox{border:.04em solid;box-sizing:border-box}.katex .cancel-pad{padding:0 .2em}.katex .cancel-lap{margin-left:-.2em;margin-right:-.2em}.katex .sout{border-bottom-style:solid;border-bottom-width:.08em}.katex .angl{border-right:.049em solid;border-top:.049em solid;box-sizing:border-box;margin-right:.03889em}.katex .anglpad{padding:0 .03889em}.katex .eqn-num:before{content:"(" counter(katexEqnNo) ")";counter-increment:katexEqnNo}.katex .mml-eqn-num:before{content:"(" counter(mmlEqnNo) ")";counter-increment:mmlEqnNo}.katex .mtr-glue{width:50%}.katex .cd-vert-arrow{display:inline-block;position:relative}.katex .cd-label-left{display:inline-block;position:absolute;right:calc(50% + .3em);text-align:left}.katex .cd-label-right{display:inline-block;left:calc(50% + .3em);position:absolute;text-align:right}.katex-display{display:block;margin:1em 0;text-align:center}.katex-display>.katex{display:block;text-align:center;white-space:nowrap}.katex-display>.katex>.katex-html{display:block;position:relative}.katex-display>.katex>.katex-html>.tag{position:absolute;right:0}.katex-display.leqno>.katex>.katex-html>.tag{left:0;right:auto}.katex-display.fleqn>.katex{padding-left:2em;text-align:left}body{counter-reset:katexEqnNo mmlEqnNo} diff --git a/static/js/auto-render.min.js b/static/js/auto-render.min.js new file mode 100644 index 0000000..c169ec6 --- /dev/null +++ b/static/js/auto-render.min.js @@ -0,0 +1 @@ +!function(e,t){"object"==typeof exports&&"object"==typeof module?module.exports=t(require("katex")):"function"==typeof define&&define.amd?define(["katex"],t):"object"==typeof exports?exports.renderMathInElement=t(require("katex")):e.renderMathInElement=t(e.katex)}("undefined"!=typeof self?self:this,(function(e){return function(){"use strict";var t={771:function(t){t.exports=e}},r={};function n(e){var a=r[e];if(void 0!==a)return a.exports;var i=r[e]={exports:{}};return t[e](i,i.exports,n),i.exports}n.n=function(e){var t=e&&e.__esModule?function(){return e.default}:function(){return e};return n.d(t,{a:t}),t},n.d=function(e,t){for(var r in t)n.o(t,r)&&!n.o(e,r)&&Object.defineProperty(e,r,{enumerable:!0,get:t[r]})},n.o=function(e,t){return Object.prototype.hasOwnProperty.call(e,t)};var a={};return function(){n.d(a,{default:function(){return s}});var e=n(771),t=n.n(e),r=function(e,t,r){for(var n=r,a=0,i=e.length;n0&&(a.push({type:"text",data:e.slice(0,n)}),e=e.slice(n));var l=t.findIndex((function(t){return e.startsWith(t.left)}));if(-1===(n=r(t[l].right,e,t[l].left.length)))break;var d=e.slice(0,n+t[l].right.length),s=i.test(d)?d:e.slice(t[l].left.length,n);a.push({type:"math",data:s,rawData:d,display:t[l].display}),e=e.slice(n+t[l].right.length)}return""!==e&&a.push({type:"text",data:e}),a},l=function(e,r){var n=o(e,r.delimiters);if(1===n.length&&"text"===n[0].type)return null;for(var a=document.createDocumentFragment(),i=0;i15?"\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={displayMode:{type:"boolean",description:"Render math in display mode, which puts the math in display style (so \\int and \\sum are large, for example), and centers the math on the page on its own line.",cli:"-d, --display-mode"},output:{type:{enum:["htmlAndMathml","html","mathml"]},description:"Determines the markup language of the output.",cli:"-F, --format "},leqno:{type:"boolean",description:"Render display math in leqno style (left-justified tags)."},fleqn:{type:"boolean",description:"Render display math flush left."},throwOnError:{type:"boolean",default:!0,cli:"-t, --no-throw-on-error",cliDescription:"Render errors (in the color given by --error-color) instead of throwing a ParseError exception when encountering an error."},errorColor:{type:"string",default:"#cc0000",cli:"-c, --error-color ",cliDescription:"A color string given in the format 'rgb' or 'rrggbb' (no #). This option determines the color of errors rendered by the -t option.",cliProcessor:function(e){return"#"+e}},macros:{type:"object",cli:"-m, --macro ",cliDescription:"Define custom macro of the form '\\foo:expansion' (use multiple -m arguments for multiple macros).",cliDefault:[],cliProcessor:function(e,t){return t.push(e),t}},minRuleThickness:{type:"number",description:"Specifies a minimum thickness, in ems, for fraction lines, `\\sqrt` top lines, `{array}` vertical lines, `\\hline`, `\\hdashline`, `\\underline`, `\\overline`, and the borders of `\\fbox`, `\\boxed`, and `\\fcolorbox`.",processor:function(e){return Math.max(0,e)},cli:"--min-rule-thickness ",cliProcessor:parseFloat},colorIsTextColor:{type:"boolean",description:"Makes \\color behave like LaTeX's 2-argument \\textcolor, instead of LaTeX's one-argument \\color mode change.",cli:"-b, --color-is-text-color"},strict:{type:[{enum:["warn","ignore","error"]},"boolean","function"],description:"Turn on strict / LaTeX faithfulness mode, which throws an error if the input uses features that are not supported by LaTeX.",cli:"-S, --strict",cliDefault:!1},trust:{type:["boolean","function"],description:"Trust the input, enabling all HTML features such as \\url.",cli:"-T, --trust"},maxSize:{type:"number",default:1/0,description:"If non-zero, all user-specified sizes, e.g. in \\rule{500em}{500em}, will be capped to maxSize ems. Otherwise, elements and spaces can be arbitrarily large",processor:function(e){return Math.max(0,e)},cli:"-s, --max-size ",cliProcessor:parseInt},maxExpand:{type:"number",default:1e3,description:"Limit the number of macro expansions to the specified number, to prevent e.g. infinite macro loops. If set to Infinity, the macro expander will try to fully expand as in LaTeX.",processor:function(e){return Math.max(0,e)},cli:"-e, --max-expand ",cliProcessor:function(e){return"Infinity"===e?1/0:parseInt(e)}},globalGroup:{type:"boolean",cli:!1}};function m(e){if(e.default)return e.default;var t=e.type,r=Array.isArray(t)?t[0]:t;if("string"!=typeof r)return r.enum[0];switch(r){case"boolean":return!1;case"string":return"";case"number":return 0;case"object":return{}}}var c=function(){function e(e){for(var t in 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||{},h)if(h.hasOwnProperty(t)){var r=h[t];this[t]=void 0!==e[t]?r.processor?r.processor(e[t]):e[t]:m(r)}}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}(),u=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 p[d[this.id]]},t.sub=function(){return p[f[this.id]]},t.fracNum=function(){return p[g[this.id]]},t.fracDen=function(){return p[v[this.id]]},t.cramp=function(){return p[b[this.id]]},t.text=function(){return p[y[this.id]]},t.isTight=function(){return this.size>=2},e}(),p=[new u(0,0,!1),new u(1,0,!0),new u(2,1,!1),new u(3,1,!0),new u(4,2,!1),new u(5,2,!0),new u(6,3,!1),new u(7,3,!0)],d=[4,5,4,5,6,7,6,7],f=[5,5,5,5,7,7,7,7],g=[2,3,4,5,6,7,6,7],v=[3,3,5,5,7,7,7,7],b=[1,1,3,3,5,5,7,7],y=[0,1,2,3,2,3,2,3],x={DISPLAY:p[0],TEXT:p[2],SCRIPT:p[4],SCRIPTSCRIPT:p[6]},w=[{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 k=[];function S(e){for(var t=0;t=k[t]&&e<=k[t+1])return!0;return!1}w.forEach((function(e){return e.blocks.forEach((function(e){return k.push.apply(k,e)}))}));var M=80,z={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"},A=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;t=5?0:e>=3?1:2]){var r=N[t]={cssEmPerMu:B.quad[t]/18};for(var n in B)B.hasOwnProperty(n)&&(r[n]=B[n][t])}return N[t]}(this.size)),this._fontMetrics},t.getColor=function(){return this.phantom?"transparent":this.color},e}();H.BASESIZE=6;var E=H,L={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},D={ex:!0,em:!0,mu:!0},P=function(e){return"string"!=typeof e&&(e=e.unit),e in L||e in D||"ex"===e},F=function(e,t){var r;if(e.unit in L)r=L[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)},V=function(e){return+e.toFixed(4)+"em"},G=function(e){return e.filter((function(e){return e})).join(" ")},U=function(e,t,r){if(this.classes=e||[],this.attributes={},this.height=0,this.depth=0,this.maxFontSize=0,this.style=r||{},t){t.style.isTight()&&this.classes.push("mtight");var n=t.getColor();n&&(this.style.color=n)}},Y=function(e){var t=document.createElement(e);for(var r in t.className=G(this.classes),this.style)this.style.hasOwnProperty(r)&&(t.style[r]=this.style[r]);for(var n in this.attributes)this.attributes.hasOwnProperty(n)&&t.setAttribute(n,this.attributes[n]);for(var a=0;a"},W=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,U.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 Y.call(this,"span")},t.toMarkup=function(){return X.call(this,"span")},e}(),_=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,U.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 Y.call(this,"a")},t.toMarkup=function(){return X.call(this,"a")},e}(),j=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=""+this.alt+"=a[0]&&e<=a[1])return r.name}return null}(this.text.charCodeAt(0));l&&this.classes.push(l+"_fallback"),/[\xee\xef\xed\xec]/.test(this.text)&&(this.text=$[this.text])}var t=e.prototype;return t.hasClass=function(e){return l.contains(this.classes,e)},t.toNode=function(){var e=document.createTextNode(this.text),t=null;for(var r in this.italic>0&&((t=document.createElement("span")).style.marginRight=V(this.italic)),this.classes.length>0&&((t=t||document.createElement("span")).className=G(this.classes)),this.style)this.style.hasOwnProperty(r)&&((t=t||document.createElement("span")).style[r]=this.style[r]);return t?(t.appendChild(e),t):e},t.toMarkup=function(){var e=!1,t="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(r)+'"');var a=l.escape(this.text);return e?(t+=">",t+=a,t+=""):a},e}(),K=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;r":""},e}(),Q=function(){function e(e){this.attributes=void 0,this.attributes=e||{}}var t=e.prototype;return t.toNode=function(){var e=document.createElementNS("http://www.w3.org/2000/svg","line");for(var t in this.attributes)Object.prototype.hasOwnProperty.call(this.attributes,t)&&e.setAttribute(t,this.attributes[t]);return e},t.toMarkup=function(){var e="","\\gt",!0),ie(oe,le,be,"\u2208","\\in",!0),ie(oe,le,be,"\ue020","\\@not"),ie(oe,le,be,"\u2282","\\subset",!0),ie(oe,le,be,"\u2283","\\supset",!0),ie(oe,le,be,"\u2286","\\subseteq",!0),ie(oe,le,be,"\u2287","\\supseteq",!0),ie(oe,he,be,"\u2288","\\nsubseteq",!0),ie(oe,he,be,"\u2289","\\nsupseteq",!0),ie(oe,le,be,"\u22a8","\\models"),ie(oe,le,be,"\u2190","\\leftarrow",!0),ie(oe,le,be,"\u2264","\\le"),ie(oe,le,be,"\u2264","\\leq",!0),ie(oe,le,be,"<","\\lt",!0),ie(oe,le,be,"\u2192","\\rightarrow",!0),ie(oe,le,be,"\u2192","\\to"),ie(oe,he,be,"\u2271","\\ngeq",!0),ie(oe,he,be,"\u2270","\\nleq",!0),ie(oe,le,ye,"\xa0","\\ "),ie(oe,le,ye,"\xa0","\\space"),ie(oe,le,ye,"\xa0","\\nobreakspace"),ie(se,le,ye,"\xa0","\\ "),ie(se,le,ye,"\xa0"," "),ie(se,le,ye,"\xa0","\\space"),ie(se,le,ye,"\xa0","\\nobreakspace"),ie(oe,le,ye,null,"\\nobreak"),ie(oe,le,ye,null,"\\allowbreak"),ie(oe,le,ve,",",","),ie(oe,le,ve,";",";"),ie(oe,he,ce,"\u22bc","\\barwedge",!0),ie(oe,he,ce,"\u22bb","\\veebar",!0),ie(oe,le,ce,"\u2299","\\odot",!0),ie(oe,le,ce,"\u2295","\\oplus",!0),ie(oe,le,ce,"\u2297","\\otimes",!0),ie(oe,le,xe,"\u2202","\\partial",!0),ie(oe,le,ce,"\u2298","\\oslash",!0),ie(oe,he,ce,"\u229a","\\circledcirc",!0),ie(oe,he,ce,"\u22a1","\\boxdot",!0),ie(oe,le,ce,"\u25b3","\\bigtriangleup"),ie(oe,le,ce,"\u25bd","\\bigtriangledown"),ie(oe,le,ce,"\u2020","\\dagger"),ie(oe,le,ce,"\u22c4","\\diamond"),ie(oe,le,ce,"\u22c6","\\star"),ie(oe,le,ce,"\u25c3","\\triangleleft"),ie(oe,le,ce,"\u25b9","\\triangleright"),ie(oe,le,ge,"{","\\{"),ie(se,le,xe,"{","\\{"),ie(se,le,xe,"{","\\textbraceleft"),ie(oe,le,ue,"}","\\}"),ie(se,le,xe,"}","\\}"),ie(se,le,xe,"}","\\textbraceright"),ie(oe,le,ge,"{","\\lbrace"),ie(oe,le,ue,"}","\\rbrace"),ie(oe,le,ge,"[","\\lbrack",!0),ie(se,le,xe,"[","\\lbrack",!0),ie(oe,le,ue,"]","\\rbrack",!0),ie(se,le,xe,"]","\\rbrack",!0),ie(oe,le,ge,"(","\\lparen",!0),ie(oe,le,ue,")","\\rparen",!0),ie(se,le,xe,"<","\\textless",!0),ie(se,le,xe,">","\\textgreater",!0),ie(oe,le,ge,"\u230a","\\lfloor",!0),ie(oe,le,ue,"\u230b","\\rfloor",!0),ie(oe,le,ge,"\u2308","\\lceil",!0),ie(oe,le,ue,"\u2309","\\rceil",!0),ie(oe,le,xe,"\\","\\backslash"),ie(oe,le,xe,"\u2223","|"),ie(oe,le,xe,"\u2223","\\vert"),ie(se,le,xe,"|","\\textbar",!0),ie(oe,le,xe,"\u2225","\\|"),ie(oe,le,xe,"\u2225","\\Vert"),ie(se,le,xe,"\u2225","\\textbardbl"),ie(se,le,xe,"~","\\textasciitilde"),ie(se,le,xe,"\\","\\textbackslash"),ie(se,le,xe,"^","\\textasciicircum"),ie(oe,le,be,"\u2191","\\uparrow",!0),ie(oe,le,be,"\u21d1","\\Uparrow",!0),ie(oe,le,be,"\u2193","\\downarrow",!0),ie(oe,le,be,"\u21d3","\\Downarrow",!0),ie(oe,le,be,"\u2195","\\updownarrow",!0),ie(oe,le,be,"\u21d5","\\Updownarrow",!0),ie(oe,le,fe,"\u2210","\\coprod"),ie(oe,le,fe,"\u22c1","\\bigvee"),ie(oe,le,fe,"\u22c0","\\bigwedge"),ie(oe,le,fe,"\u2a04","\\biguplus"),ie(oe,le,fe,"\u22c2","\\bigcap"),ie(oe,le,fe,"\u22c3","\\bigcup"),ie(oe,le,fe,"\u222b","\\int"),ie(oe,le,fe,"\u222b","\\intop"),ie(oe,le,fe,"\u222c","\\iint"),ie(oe,le,fe,"\u222d","\\iiint"),ie(oe,le,fe,"\u220f","\\prod"),ie(oe,le,fe,"\u2211","\\sum"),ie(oe,le,fe,"\u2a02","\\bigotimes"),ie(oe,le,fe,"\u2a01","\\bigoplus"),ie(oe,le,fe,"\u2a00","\\bigodot"),ie(oe,le,fe,"\u222e","\\oint"),ie(oe,le,fe,"\u222f","\\oiint"),ie(oe,le,fe,"\u2230","\\oiiint"),ie(oe,le,fe,"\u2a06","\\bigsqcup"),ie(oe,le,fe,"\u222b","\\smallint"),ie(se,le,pe,"\u2026","\\textellipsis"),ie(oe,le,pe,"\u2026","\\mathellipsis"),ie(se,le,pe,"\u2026","\\ldots",!0),ie(oe,le,pe,"\u2026","\\ldots",!0),ie(oe,le,pe,"\u22ef","\\@cdots",!0),ie(oe,le,pe,"\u22f1","\\ddots",!0),ie(oe,le,xe,"\u22ee","\\varvdots"),ie(oe,le,me,"\u02ca","\\acute"),ie(oe,le,me,"\u02cb","\\grave"),ie(oe,le,me,"\xa8","\\ddot"),ie(oe,le,me,"~","\\tilde"),ie(oe,le,me,"\u02c9","\\bar"),ie(oe,le,me,"\u02d8","\\breve"),ie(oe,le,me,"\u02c7","\\check"),ie(oe,le,me,"^","\\hat"),ie(oe,le,me,"\u20d7","\\vec"),ie(oe,le,me,"\u02d9","\\dot"),ie(oe,le,me,"\u02da","\\mathring"),ie(oe,le,de,"\ue131","\\@imath"),ie(oe,le,de,"\ue237","\\@jmath"),ie(oe,le,xe,"\u0131","\u0131"),ie(oe,le,xe,"\u0237","\u0237"),ie(se,le,xe,"\u0131","\\i",!0),ie(se,le,xe,"\u0237","\\j",!0),ie(se,le,xe,"\xdf","\\ss",!0),ie(se,le,xe,"\xe6","\\ae",!0),ie(se,le,xe,"\u0153","\\oe",!0),ie(se,le,xe,"\xf8","\\o",!0),ie(se,le,xe,"\xc6","\\AE",!0),ie(se,le,xe,"\u0152","\\OE",!0),ie(se,le,xe,"\xd8","\\O",!0),ie(se,le,me,"\u02ca","\\'"),ie(se,le,me,"\u02cb","\\`"),ie(se,le,me,"\u02c6","\\^"),ie(se,le,me,"\u02dc","\\~"),ie(se,le,me,"\u02c9","\\="),ie(se,le,me,"\u02d8","\\u"),ie(se,le,me,"\u02d9","\\."),ie(se,le,me,"\xb8","\\c"),ie(se,le,me,"\u02da","\\r"),ie(se,le,me,"\u02c7","\\v"),ie(se,le,me,"\xa8",'\\"'),ie(se,le,me,"\u02dd","\\H"),ie(se,le,me,"\u25ef","\\textcircled");var we={"--":!0,"---":!0,"``":!0,"''":!0};ie(se,le,xe,"\u2013","--",!0),ie(se,le,xe,"\u2013","\\textendash"),ie(se,le,xe,"\u2014","---",!0),ie(se,le,xe,"\u2014","\\textemdash"),ie(se,le,xe,"\u2018","`",!0),ie(se,le,xe,"\u2018","\\textquoteleft"),ie(se,le,xe,"\u2019","'",!0),ie(se,le,xe,"\u2019","\\textquoteright"),ie(se,le,xe,"\u201c","``",!0),ie(se,le,xe,"\u201c","\\textquotedblleft"),ie(se,le,xe,"\u201d","''",!0),ie(se,le,xe,"\u201d","\\textquotedblright"),ie(oe,le,xe,"\xb0","\\degree",!0),ie(se,le,xe,"\xb0","\\degree"),ie(se,le,xe,"\xb0","\\textdegree",!0),ie(oe,le,xe,"\xa3","\\pounds"),ie(oe,le,xe,"\xa3","\\mathsterling",!0),ie(se,le,xe,"\xa3","\\pounds"),ie(se,le,xe,"\xa3","\\textsterling",!0),ie(oe,he,xe,"\u2720","\\maltese"),ie(se,he,xe,"\u2720","\\maltese");for(var ke='0123456789/@."',Se=0;Set&&(t=i.height),i.depth>r&&(r=i.depth),i.maxFontSize>n&&(n=i.maxFontSize)}e.height=t,e.depth=r,e.maxFontSize=n},Xe=function(e,t,r,n){var a=new W(e,t,r,n);return Ye(a),a},We=function(e,t,r,n){return new W(e,t,r,n)},_e=function(e){var t=new A(e);return Ye(t),t},je=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")},$e={mathbf:{variant:"bold",fontName:"Main-Bold"},mathrm:{variant:"normal",fontName:"Main-Regular"},textit:{variant:"italic",fontName:"Main-Italic"},mathit:{variant:"italic",fontName:"Main-Italic"},mathnormal:{variant:"italic",fontName:"Math-Italic"},mathbb:{variant:"double-struck",fontName:"AMS-Regular"},mathcal:{variant:"script",fontName:"Caligraphic-Regular"},mathfrak:{variant:"fraktur",fontName:"Fraktur-Regular"},mathscr:{variant:"script",fontName:"Script-Regular"},mathsf:{variant:"sans-serif",fontName:"SansSerif-Regular"},mathtt:{variant:"monospace",fontName:"Typewriter-Regular"}},Ze={vec:["vec",.471,.714],oiintSize1:["oiintSize1",.957,.499],oiintSize2:["oiintSize2",1.472,.659],oiiintSize1:["oiiintSize1",1.304,.499],oiiintSize2:["oiiintSize2",1.98,.659]},Ke={fontMap:$e,makeSymbol:Ge,mathsym:function(e,t,r,n){return void 0===n&&(n=[]),"boldsymbol"===r.font&&Ve(e,"Main-Bold",t).metrics?Ge(e,"Main-Bold",t,r,n.concat(["mathbf"])):"\\"===e||"main"===ae[t][e].font?Ge(e,"Main-Regular",t,r,n):Ge(e,"AMS-Regular",t,r,n.concat(["amsrm"]))},makeSpan:Xe,makeSvgSpan:We,makeLineSpan:function(e,t,r){var n=Xe([e],[],t);return n.height=Math.max(r||t.fontMetrics().defaultRuleThickness,t.minRuleThickness),n.style.borderBottomWidth=V(n.height),n.maxFontSize=1,n},makeAnchor:function(e,t,r,n){var a=new _(e,t,r,n);return Ye(a),a},makeFragment:_e,wrapFragment:function(e,t){return e instanceof A?Xe([],[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;i0&&(o.push(kt(s,t)),s=[]),o.push(a[l]));s.length>0&&o.push(kt(s,t)),r?((i=kt(ft(r,t,!0))).classes=["tag"],o.push(i)):n&&o.push(n);var m=mt(["katex-html"],o);if(m.setAttribute("aria-hidden","true"),i){var c=i.children[0];c.style.height=V(m.height+m.depth),m.depth&&(c.style.verticalAlign=V(-m.depth))}return m}function Mt(e){return new A(e)}var zt=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=G(this.classes));for(var r=0;r0&&(e+=' class ="'+l.escape(G(this.classes))+'"'),e+=">";for(var r=0;r"},t.toText=function(){return this.children.map((function(e){return e.toText()})).join("")},e}(),At=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}(),Tt={MathNode:zt,TextNode:At,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",V(this.width)),e},t.toMarkup=function(){return this.character?""+this.character+"":''},t.toText=function(){return this.character?this.character:" "},e}(),newDocumentFragment:Mt},Bt=function(e,t,r){return!ae[t][e]||!ae[t][e].replace||55349===e.charCodeAt(0)||we.hasOwnProperty(e)&&r&&(r.fontFamily&&"tt"===r.fontFamily.substr(4,2)||r.font&&"tt"===r.font.substr(4,2))||(e=ae[t][e].replace),new Tt.TextNode(e)},Ct=function(e){return 1===e.length?e[0]:new Tt.MathNode("mrow",e)},qt=function(e,t){if("texttt"===t.fontFamily)return"monospace";if("textsf"===t.fontFamily)return"textit"===t.fontShape&&"textbf"===t.fontWeight?"sans-serif-bold-italic":"textit"===t.fontShape?"sans-serif-italic":"textbf"===t.fontWeight?"bold-sans-serif":"sans-serif";if("textit"===t.fontShape&&"textbf"===t.fontWeight)return"bold-italic";if("textit"===t.fontShape)return"italic";if("textbf"===t.fontWeight)return"bold";var r=t.font;if(!r||"mathnormal"===r)return null;var n=e.mode;if("mathit"===r)return"italic";if("boldsymbol"===r)return"textord"===e.type?"bold":"bold-italic";if("mathbf"===r)return"bold";if("mathbb"===r)return"double-struck";if("mathfrak"===r)return"fraktur";if("mathscr"===r||"mathcal"===r)return"script";if("mathsf"===r)return"sans-serif";if("mathtt"===r)return"monospace";var a=e.text;return l.contains(["\\imath","\\jmath"],a)?null:(ae[n][a]&&ae[n][a].replace&&(a=ae[n][a].replace),q(a,Ke.fontMap[r].fontName,n)?Ke.fontMap[r].variant:null)},Nt=function(e,t,r){if(1===e.length){var n=Rt(e[0],t);return r&&n instanceof zt&&"mo"===n.type&&(n.setAttribute("lspace","0em"),n.setAttribute("rspace","0em")),[n]}for(var a,i=[],o=0;o0&&(p.text=p.text.slice(0,1)+"\u0338"+p.text.slice(1),i.pop())}}}i.push(s),a=s}return i},It=function(e,t,r){return Ct(Nt(e,t,r))},Rt=function(e,t){if(!e)return new Tt.MathNode("mrow");if(it[e.type])return it[e.type](e,t);throw new n("Got group of unknown type: '"+e.type+"'")};function Ot(e,t,r,n,a){var i,o=Nt(e,r);i=1===o.length&&o[0]instanceof zt&&l.contains(["mrow","mtable"],o[0].type)?o[0]:new Tt.MathNode("mrow",o);var s=new Tt.MathNode("annotation",[new Tt.TextNode(t)]);s.setAttribute("encoding","application/x-tex");var h=new Tt.MathNode("semantics",[i,s]),m=new Tt.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 Ke.makeSpan([c],[m])}var Ht=function(e){return new E({style:e.displayMode?x.DISPLAY:x.TEXT,maxSize:e.maxSize,minRuleThickness:e.minRuleThickness})},Et=function(e,t){if(t.displayMode){var r=["katex-display"];t.leqno&&r.push("leqno"),t.fleqn&&r.push("fleqn"),e=Ke.makeSpan(r,[e])}return e},Lt=function(e,t,r){var n,a=Ht(r);if("mathml"===r.output)return Ot(e,t,a,r.displayMode,!0);if("html"===r.output){var i=St(e,a);n=Ke.makeSpan(["katex"],[i])}else{var o=Ot(e,t,a,r.displayMode,!1),s=St(e,a);n=Ke.makeSpan(["katex"],[o,s])}return Et(n,r)},Dt={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":"="},Pt={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]},Ft=function(e,t,r,n,a){var i,o=e.height+e.depth+r+n;if(/fbox|color|angl/.test(t)){if(i=Ke.makeSpan(["stretchy",t],[],a),"fbox"===t){var s=a.color&&a.getColor();s&&(i.style.borderColor=s)}}else{var l=[];/^[bx]cancel$/.test(t)&&l.push(new Q({x1:"0",y1:"0",x2:"100%",y2:"100%","stroke-width":"0.046em"})),/^x?cancel$/.test(t)&&l.push(new Q({x1:"0",y1:"100%",x2:"100%",y2:"0","stroke-width":"0.046em"}));var h=new K(l,{width:"100%",height:V(o)});i=Ke.makeSvgSpan([],[h],a)}return i.height=o,i.style.height=V(o),i},Vt=function(e){var t=new Tt.MathNode("mo",[new Tt.TextNode(Dt[e.replace(/^\\/,"")])]);return t.setAttribute("stretchy","true"),t},Gt=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 J(i),c=new K([m],{width:"100%",height:V(o),viewBox:"0 0 "+r+" "+a,preserveAspectRatio:"none"});return{span:Ke.makeSvgSpan([],[c],t),minWidth:0,height:o}}var u,p,d,f=[],g=Pt[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 support\n "+w+" children.");u=["brace-left","brace-center","brace-right"],p=["xMinYMin","xMidYMin","xMaxYMin"]}for(var k=0;k0&&(n.style.minWidth=V(a)),n};function Ut(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 Yt(e){var t=Xt(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 Xt(e){return e&&("atom"===e.type||re.hasOwnProperty(e.type))?e:null}var Wt=function(e,t){var r,n,a;e&&"supsub"===e.type?(r=(n=Ut(e.base,"accent")).base,e.base=r,a=function(e){if(e instanceof W)return e;throw new Error("Expected span but got "+String(e)+".")}(wt(e,t)),e.base=n):r=(n=Ut(e,"accent")).base;var i=wt(r,t.havingCrampedStyle()),o=0;if(n.isShifty&&l.isCharacterBox(r)){var s=l.getBaseElem(r);o=ee(wt(s,t.havingCrampedStyle())).skew}var h,m="\\c"===n.label,c=m?i.height+i.depth:Math.min(i.height,t.fontMetrics().xHeight);if(n.isStretchy)h=Gt(n,t),h=Ke.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:i},{type:"elem",elem:h,wrapperClasses:["svg-align"],wrapperStyle:o>0?{width:"calc(100% - "+V(2*o)+")",marginLeft:V(2*o)}:void 0}]},t);else{var u,p;"\\vec"===n.label?(u=Ke.staticSvg("vec",t),p=Ke.svgData.vec[1]):((u=ee(u=Ke.makeOrd({mode:n.mode,text:n.label},t,"textord"))).italic=0,p=u.width,m&&(c+=u.depth)),h=Ke.makeSpan(["accent-body"],[u]);var d="\\textcircled"===n.label;d&&(h.classes.push("accent-full"),c=i.height);var f=o;d||(f-=p/2),h.style.left=V(f),"\\textcircled"===n.label&&(h.style.top=".2em"),h=Ke.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:i},{type:"kern",size:-c},{type:"elem",elem:h}]},t)}var g=Ke.makeSpan(["mord","accent"],[h],t);return a?(a.children[0]=g,a.height=Math.max(g.height,a.height),a.classes[0]="mord",a):g},_t=function(e,t){var r=e.isStretchy?Vt(e.label):new Tt.MathNode("mo",[Bt(e.label,e.mode)]),n=new Tt.MathNode("mover",[Rt(e.base,t),r]);return n.setAttribute("accent","true"),n},jt=new RegExp(["\\acute","\\grave","\\ddot","\\tilde","\\bar","\\breve","\\check","\\hat","\\vec","\\dot","\\mathring"].map((function(e){return"\\"+e})).join("|"));ot({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=lt(t[0]),n=!jt.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:Wt,mathmlBuilder:_t}),ot({type:"accent",names:["\\'","\\`","\\^","\\~","\\=","\\u","\\.",'\\"',"\\c","\\r","\\H","\\v","\\textcircled"],props:{numArgs:1,allowedInText:!0,allowedInMath:!0,argTypes:["primitive"]},handler:function(e,t){var r=t[0],n=e.parser.mode;return"math"===n&&(e.parser.settings.reportNonstrict("mathVsTextAccents","LaTeX's accent "+e.funcName+" works only in text mode"),n="text"),{type:"accent",mode:n,label:e.funcName,isStretchy:!1,isShifty:!0,base:r}},htmlBuilder:Wt,mathmlBuilder:_t}),ot({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=wt(e.base,t),n=Gt(e,t),a="\\utilde"===e.label?.12:0,i=Ke.makeVList({positionType:"top",positionData:r.height,children:[{type:"elem",elem:n,wrapperClasses:["svg-align"]},{type:"kern",size:a},{type:"elem",elem:r}]},t);return Ke.makeSpan(["mord","accentunder"],[i],t)},mathmlBuilder:function(e,t){var r=Vt(e.label),n=new Tt.MathNode("munder",[Rt(e.base,t),r]);return n.setAttribute("accentunder","true"),n}});var $t=function(e){var t=new Tt.MathNode("mpadded",e?[e]:[]);return t.setAttribute("width","+0.6em"),t.setAttribute("lspace","0.3em"),t};ot({type:"xArrow",names:["\\xleftarrow","\\xrightarrow","\\xLeftarrow","\\xRightarrow","\\xleftrightarrow","\\xLeftrightarrow","\\xhookleftarrow","\\xhookrightarrow","\\xmapsto","\\xrightharpoondown","\\xrightharpoonup","\\xleftharpoondown","\\xleftharpoonup","\\xrightleftharpoons","\\xleftrightharpoons","\\xlongequal","\\xtwoheadrightarrow","\\xtwoheadleftarrow","\\xtofrom","\\xrightleftarrows","\\xrightequilibrium","\\xleftequilibrium","\\\\cdrightarrow","\\\\cdleftarrow","\\\\cdlongequal"],props:{numArgs:1,numOptionalArgs:1},handler:function(e,t,r){var n=e.parser,a=e.funcName;return{type:"xArrow",mode:n.mode,label:a,body:t[0],below:r[0]}},htmlBuilder:function(e,t){var r,n=t.style,a=t.havingStyle(n.sup()),i=Ke.wrapFragment(wt(e.body,a,t),t),o="\\x"===e.label.slice(0,2)?"x":"cd";i.classes.push(o+"-arrow-pad"),e.below&&(a=t.havingStyle(n.sub()),(r=Ke.wrapFragment(wt(e.below,a,t),t)).classes.push(o+"-arrow-pad"));var s,l=Gt(e,t),h=-t.fontMetrics().axisHeight+.5*l.height,m=-t.fontMetrics().axisHeight-.5*l.height-.111;if((i.depth>.25||"\\xleftequilibrium"===e.label)&&(m-=i.depth),r){var c=-t.fontMetrics().axisHeight+r.height+.5*l.height+.111;s=Ke.makeVList({positionType:"individualShift",children:[{type:"elem",elem:i,shift:m},{type:"elem",elem:l,shift:h},{type:"elem",elem:r,shift:c}]},t)}else s=Ke.makeVList({positionType:"individualShift",children:[{type:"elem",elem:i,shift:m},{type:"elem",elem:l,shift:h}]},t);return s.children[0].children[0].children[1].classes.push("svg-align"),Ke.makeSpan(["mrel","x-arrow"],[s],t)},mathmlBuilder:function(e,t){var r,n=Vt(e.label);if(n.setAttribute("minsize","x"===e.label.charAt(0)?"1.75em":"3.0em"),e.body){var a=$t(Rt(e.body,t));if(e.below){var i=$t(Rt(e.below,t));r=new Tt.MathNode("munderover",[n,i,a])}else r=new Tt.MathNode("mover",[n,a])}else if(e.below){var o=$t(Rt(e.below,t));r=new Tt.MathNode("munder",[n,o])}else r=$t(),r=new Tt.MathNode("mover",[n,r]);return r}});var Zt={">":"\\\\cdrightarrow","<":"\\\\cdleftarrow","=":"\\\\cdlongequal",A:"\\uparrow",V:"\\downarrow","|":"\\Vert",".":"no arrow"},Kt=function(e){return"textord"===e.type&&"@"===e.text};function Jt(e,t,r){var n=Zt[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"}}}ot({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=Ke.wrapFragment(wt(e.label,r,t),t);return n.classes.push("cd-label-"+e.side),n.style.bottom=V(.8-n.depth),n.height=0,n.depth=0,n},mathmlBuilder:function(e,t){var r=new Tt.MathNode("mrow",[Rt(e.label,t)]);return(r=new Tt.MathNode("mpadded",[r])).setAttribute("width","0"),"left"===e.side&&r.setAttribute("lspace","-1width"),r.setAttribute("voffset","0.7em"),(r=new Tt.MathNode("mstyle",[r])).setAttribute("displaystyle","false"),r.setAttribute("scriptlevel","1"),r}}),ot({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=Ke.wrapFragment(wt(e.fragment,t),t);return r.classes.push("cd-vert-arrow"),r},mathmlBuilder:function(e,t){return new Tt.MathNode("mrow",[Rt(e.fragment,t)])}}),ot({type:"textord",names:["\\@char"],props:{numArgs:1,allowedInText:!0},handler:function(e,t){for(var r=e.parser,a=Ut(t[0],"ordgroup").body,i="",o=0;o=1114111)throw new n("\\@char with invalid code point "+i);return l<=65535?s=String.fromCharCode(l):(l-=65536,s=String.fromCharCode(55296+(l>>10),56320+(1023&l))),{type:"textord",mode:r.mode,text:s}}});var Qt=function(e,t){var r=ft(e.body,t.withColor(e.color),!1);return Ke.makeFragment(r)},er=function(e,t){var r=Nt(e.body,t.withColor(e.color)),n=new Tt.MathNode("mstyle",r);return n.setAttribute("mathcolor",e.color),n};ot({type:"color",names:["\\textcolor"],props:{numArgs:2,allowedInText:!0,argTypes:["color","original"]},handler:function(e,t){var r=e.parser,n=Ut(t[0],"color-token").color,a=t[1];return{type:"color",mode:r.mode,color:n,body:ht(a)}},htmlBuilder:Qt,mathmlBuilder:er}),ot({type:"color",names:["\\color"],props:{numArgs:1,allowedInText:!0,argTypes:["color"]},handler:function(e,t){var r=e.parser,n=e.breakOnTokenText,a=Ut(t[0],"color-token").color;r.gullet.macros.set("\\current@color",a);var i=r.parseExpression(!0,n);return{type:"color",mode:r.mode,color:a,body:i}},htmlBuilder:Qt,mathmlBuilder:er}),ot({type:"cr",names:["\\\\"],props:{numArgs:0,numOptionalArgs:1,argTypes:["size"],allowedInText:!0},handler:function(e,t,r){var n=e.parser,a=r[0],i=!n.settings.displayMode||!n.settings.useStrictBehavior("newLineInDisplayMode","In LaTeX, \\\\ or \\newline does nothing in display mode");return{type:"cr",mode:n.mode,newLine:i,size:a&&Ut(a,"size").value}},htmlBuilder:function(e,t){var r=Ke.makeSpan(["mspace"],[],t);return e.newLine&&(r.classes.push("newline"),e.size&&(r.style.marginTop=V(F(e.size,t)))),r},mathmlBuilder:function(e,t){var r=new Tt.MathNode("mspace");return e.newLine&&(r.setAttribute("linebreak","newline"),e.size&&r.setAttribute("height",V(F(e.size,t)))),r}});var tr={"\\global":"\\global","\\long":"\\\\globallong","\\\\globallong":"\\\\globallong","\\def":"\\gdef","\\gdef":"\\gdef","\\edef":"\\xdef","\\xdef":"\\xdef","\\let":"\\\\globallet","\\futurelet":"\\\\globalfuture"},rr=function(e){var t=e.text;if(/^(?:[\\{}$&#^_]|EOF)$/.test(t))throw new n("Expected a control sequence",e);return t},nr=function(e,t,r,n){var a=e.gullet.macros.get(r.text);null==a&&(r.noexpand=!0,a={tokens:[r],numArgs:0,unexpandable:!e.gullet.isExpandable(r.text)}),e.gullet.macros.set(t,a,n)};ot({type:"internal",names:["\\global","\\long","\\\\globallong"],props:{numArgs:0,allowedInText:!0},handler:function(e){var t=e.parser,r=e.funcName;t.consumeSpaces();var a=t.fetch();if(tr[a.text])return"\\global"!==r&&"\\\\globallong"!==r||(a.text=tr[a.text]),Ut(t.parseFunction(),"internal");throw new n("Invalid token after macro prefix",a)}}),ot({type:"internal",names:["\\def","\\gdef","\\edef","\\xdef"],props:{numArgs:0,allowedInText:!0,primitive:!0},handler:function(e){var t=e.parser,r=e.funcName,a=t.gullet.popToken(),i=a.text;if(/^(?:[\\{}$&#^_]|EOF)$/.test(i))throw new n("Expected a control sequence",a);for(var o,s=0,l=[[]];"{"!==t.gullet.future().text;)if("#"===(a=t.gullet.popToken()).text){if("{"===t.gullet.future().text){o=t.gullet.future(),l[s].push("{");break}if(a=t.gullet.popToken(),!/^[1-9]$/.test(a.text))throw new n('Invalid argument number "'+a.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===tr[r]),{type:"internal",mode:t.mode}}}),ot({type:"internal",names:["\\let","\\\\globallet"],props:{numArgs:0,allowedInText:!0,primitive:!0},handler:function(e){var t=e.parser,r=e.funcName,n=rr(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 nr(t,n,a,"\\\\globallet"===r),{type:"internal",mode:t.mode}}}),ot({type:"internal",names:["\\futurelet","\\\\globalfuture"],props:{numArgs:0,allowedInText:!0,primitive:!0},handler:function(e){var t=e.parser,r=e.funcName,n=rr(t.gullet.popToken()),a=t.gullet.popToken(),i=t.gullet.popToken();return nr(t,n,i,"\\\\globalfuture"===r),t.gullet.pushToken(i),t.gullet.pushToken(a),{type:"internal",mode:t.mode}}});var ar=function(e,t,r){var n=q(ae.math[e]&&ae.math[e].replace||e,t,r);if(!n)throw new Error("Unsupported symbol "+e+" and font size "+t+".");return n},ir=function(e,t,r,n){var a=r.havingBaseStyle(t),i=Ke.makeSpan(n.concat(a.sizingClasses(r)),[e],r),o=a.sizeMultiplier/r.sizeMultiplier;return i.height*=o,i.depth*=o,i.maxFontSize=a.sizeMultiplier,i},or=function(e,t,r){var n=t.havingBaseStyle(r),a=(1-t.sizeMultiplier/n.sizeMultiplier)*t.fontMetrics().axisHeight;e.classes.push("delimcenter"),e.style.top=V(a),e.height-=a,e.depth+=a},sr=function(e,t,r,n,a,i){var o=function(e,t,r,n){return Ke.makeSymbol(e,"Size"+t+"-Regular",r,n)}(e,t,a,n),s=ir(Ke.makeSpan(["delimsizing","size"+t],[o],n),x.TEXT,n,i);return r&&or(s,n,x.TEXT),s},lr=function(e,t,r){var n;return n="Size1-Regular"===t?"delim-size1":"delim-size4",{type:"elem",elem:Ke.makeSpan(["delimsizinginner",n],[Ke.makeSpan([],[Ke.makeSymbol(e,t,r)])])}},hr=function(e,t,r){var n=T["Size4-Regular"][e.charCodeAt(0)]?T["Size4-Regular"][e.charCodeAt(0)][4]:T["Size1-Regular"][e.charCodeAt(0)][4],a=new J("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 K([a],{width:V(n),height:V(t),style:"width:"+V(n),viewBox:"0 0 "+1e3*n+" "+Math.round(1e3*t),preserveAspectRatio:"xMinYMin"}),o=Ke.makeSvgSpan([],[i],r);return o.height=t,o.style.height=V(t),o.style.width=V(n),{type:"elem",elem:o}},mr={type:"kern",size:-.008},cr=["|","\\lvert","\\rvert","\\vert"],ur=["\\|","\\lVert","\\rVert","\\Vert"],pr=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(cr,e)?h="\u2223":l.contains(ur,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=ar(o,c,a),p=u.height+u.depth,d=ar(h,c,a),f=d.height+d.depth,g=ar(m,c,a),v=g.height+g.depth,b=0,y=1;if(null!==s){var w=ar(s,c,a);b=w.height+w.depth,y=2}var k=p+v+b,S=k+Math.max(0,Math.ceil((t-k)/(y*f)))*y*f,M=n.fontMetrics().axisHeight;r&&(M*=n.sizeMultiplier);var z=S/2-M,A=[];if(A.push(lr(m,c,a)),A.push(mr),null===s){var T=S-p-v+.016;A.push(hr(h,T,n))}else{var B=(S-p-v-b)/2+.016;A.push(hr(h,B,n)),A.push(mr),A.push(lr(s,c,a)),A.push(mr),A.push(hr(h,B,n))}A.push(mr),A.push(lr(o,c,a));var C=n.havingBaseStyle(x.TEXT),q=Ke.makeVList({positionType:"bottom",positionData:z,children:A},C);return ir(Ke.makeSpan(["delimsizing","mult"],[q],C),x.TEXT,n,i)},dr=.08,fr=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,-14\nc0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54\nc44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10\ns173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429\nc69,-144,104.5,-217.7,106.5,-221\nl"+e/2.075+" -"+e+"\nc5.3,-9.3,12,-14,20,-14\nH400000v"+(40+e)+"H845.2724\ns-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7\nc-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z\nM"+(834+e)+" "+t+"h400000v"+(40+e)+"h-400000z"}(t,M);break;case"sqrtSize1":n=function(e,t){return"M263,"+(601+e+t)+"c0.7,0,18,39.7,52,119\nc34,79.3,68.167,158.7,102.5,238c34.3,79.3,51.8,119.3,52.5,120\nc340,-704.7,510.7,-1060.3,512,-1067\nl"+e/2.084+" -"+e+"\nc4.7,-7.3,11,-11,19,-11\nH40000v"+(40+e)+"H1012.3\ns-271.3,567,-271.3,567c-38.7,80.7,-84,175,-136,283c-52,108,-89.167,185.3,-111.5,232\nc-22.3,46.7,-33.8,70.3,-34.5,71c-4.7,4.7,-12.3,7,-23,7s-12,-1,-12,-1\ns-109,-253,-109,-253c-72.7,-168,-109.3,-252,-110,-252c-10.7,8,-22,16.7,-34,26\nc-22,17.3,-33.3,26,-34,26s-26,-26,-26,-26s76,-59,76,-59s76,-60,76,-60z\nM"+(1001+e)+" "+t+"h400000v"+(40+e)+"h-400000z"}(t,M);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,-24,7\ns-12,0,-12,0c-1.3,-3.3,-3.7,-11.7,-7,-25c-35.3,-125.3,-106.7,-373.3,-214,-744\nc-10,12,-21,25,-33,39s-32,39,-32,39c-6,-5.3,-15,-14,-27,-26s25,-30,25,-30\nc26.7,-32.7,52,-63,76,-91s52,-60,52,-60s208,722,208,722\nc56,-175.3,126.3,-397.3,211,-666c84.7,-268.7,153.8,-488.2,207.5,-658.5\nc53.7,-170.3,84.5,-266.8,92.5,-289.5z\nM"+(1001+e)+" "+t+"h400000v"+(40+e)+"h-400000z"}(t,M);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,-514\nc0,-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,-12.5,20\ns-5,7,-5,7c-4,-3.3,-8.3,-7.7,-13,-13s-13,-13,-13,-13s76,-122,76,-122s77,-121,77,-121\ns209,968,209,968c0,-2,84.7,-361.7,254,-1079c169.3,-717.3,254.7,-1077.7,256,-1081\nl"+e/4.223+" -"+e+"c4,-6.7,10,-10,18,-10 H400000\nv"+(40+e)+"H1014.6\ns-87.3,378.7,-272.6,1166c-185.3,787.3,-279.3,1182.3,-282,1185\nc-2,6,-10,9,-24,9\nc-8,0,-12,-0.7,-12,-2z M"+(1001+e)+" "+t+"\nh400000v"+(40+e)+"h-400000z"}(t,M);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)+"H1017.7\ns-90.5,478,-276.2,1466c-185.7,988,-279.5,1483,-281.5,1485c-2,6,-10,9,-24,9\nc-8,0,-12,-0.7,-12,-2c0,-1.3,-5.3,-32,-16,-92c-50.7,-293.3,-119.7,-693.3,-207,-1200\nc0,-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,-26\ns76,-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,M);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 1\nh-12l-28-84c-16.667-52-96.667 -294.333-240-727l-212 -643 -85 170\nc-4-3.333-8.333-7.667-13 -13l-13-13l77-155 77-156c66 199.333 139 419.667\n219 661 l218 661zM702 "+t+"H400000v"+(40+e)+"H742z"}(t,M,r)}return n}(e,n,r),o=new J(e,i),s=new K([o],{width:"400em",height:V(t),viewBox:"0 0 400000 "+r,preserveAspectRatio:"xMinYMin slice"});return Ke.makeSvgSpan(["hide-tail"],[s],a)},gr=["(","\\lparen",")","\\rparen","[","\\lbrack","]","\\rbrack","\\{","\\lbrace","\\}","\\rbrace","\\lfloor","\\rfloor","\u230a","\u230b","\\lceil","\\rceil","\u2308","\u2309","\\surd"],vr=["\\uparrow","\\downarrow","\\updownarrow","\\Uparrow","\\Downarrow","\\Updownarrow","|","\\|","\\vert","\\Vert","\\lvert","\\rvert","\\lVert","\\rVert","\\lgroup","\\rgroup","\u27ee","\u27ef","\\lmoustache","\\rmoustache","\u23b0","\u23b1"],br=["<",">","\\langle","\\rangle","/","\\backslash","\\lt","\\gt"],yr=[0,1.2,1.8,2.4,3],xr=[{type:"small",style:x.SCRIPTSCRIPT},{type:"small",style:x.SCRIPT},{type:"small",style:x.TEXT},{type:"large",size:1},{type:"large",size:2},{type:"large",size:3},{type:"large",size:4}],wr=[{type:"small",style:x.SCRIPTSCRIPT},{type:"small",style:x.SCRIPT},{type:"small",style:x.TEXT},{type:"stack"}],kr=[{type:"small",style:x.SCRIPTSCRIPT},{type:"small",style:x.SCRIPT},{type:"small",style:x.TEXT},{type:"large",size:1},{type:"large",size:2},{type:"large",size:3},{type:"large",size:4},{type:"stack"}],Sr=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.")},Mr=function(e,t,r,n){for(var a=Math.min(2,3-n.style.size);at)return r[a]}return r[r.length-1]},zr=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(br,e)?xr:l.contains(gr,e)?kr:wr;var s=Mr(e,t,o,n);return"small"===s.type?function(e,t,r,n,a,i){var o=Ke.makeSymbol(e,"Main-Regular",a,n),s=ir(o,t,n,i);return r&&or(s,n,t),s}(e,s.style,r,n,a,i):"large"===s.type?sr(e,s.size,r,n,a,i):pr(e,t,r,n,a,i)},Ar={sqrtImage:function(e,t){var r,n,a=t.havingBaseSizing(),i=Mr("\\surd",e*a.sizeMultiplier,kr,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=fr("sqrtMain",l=(1+s+dr)/o,m=1e3+1e3*s+80,s,t)).style.minWidth="0.853em",n=.833/o):"large"===i.type?(m=1080*yr[i.size],h=(yr[i.size]+s)/o,l=(yr[i.size]+s+dr)/o,(r=fr("sqrtSize"+i.size,l,m,s,t)).style.minWidth="1.02em",n=1/o):(l=e+s+dr,h=e+s,m=Math.floor(1e3*e+s)+80,(r=fr("sqrtTall",l,m,s,t)).style.minWidth="0.742em",n=1.056),r.height=h,r.style.height=V(l),{span:r,advanceWidth:n,ruleWidth:(t.fontMetrics().sqrtRuleThickness+s)*o}},sizedDelim:function(e,t,r,a,i){if("<"===e||"\\lt"===e||"\u27e8"===e?e="\\langle":">"!==e&&"\\gt"!==e&&"\u27e9"!==e||(e="\\rangle"),l.contains(gr,e)||l.contains(br,e))return sr(e,t,!1,r,a,i);if(l.contains(vr,e))return pr(e,yr[t],!1,r,a,i);throw new n("Illegal delimiter: '"+e+"'")},sizeToMaxHeight:yr,customSizedDelim:zr,leftRightDelim: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 zr(e,h,!0,n,a,i)}},Tr={"\\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}},Br=["(","\\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 Cr(e,t){var r=Xt(e);if(r&&l.contains(Br,r.text))return r;throw new n(r?"Invalid delimiter '"+r.text+"' after '"+t.funcName+"'":"Invalid delimiter type '"+e.type+"'",e)}function qr(e){if(!e.body)throw new Error("Bug: The leftright ParseNode wasn't fully parsed.")}ot({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=Cr(t[0],e);return{type:"delimsizing",mode:e.parser.mode,size:Tr[e.funcName].size,mclass:Tr[e.funcName].mclass,delim:r.text}},htmlBuilder:function(e,t){return"."===e.delim?Ke.makeSpan([e.mclass]):Ar.sizedDelim(e.delim,e.size,t,e.mode,[e.mclass])},mathmlBuilder:function(e){var t=[];"."!==e.delim&&t.push(Bt(e.delim,e.mode));var r=new Tt.MathNode("mo",t);"mopen"===e.mclass||"mclose"===e.mclass?r.setAttribute("fence","true"):r.setAttribute("fence","false"),r.setAttribute("stretchy","true");var n=V(Ar.sizeToMaxHeight[e.size]);return r.setAttribute("minsize",n),r.setAttribute("maxsize",n),r}}),ot({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:Cr(t[0],e).text,color:r}}}),ot({type:"leftright",names:["\\left"],props:{numArgs:1,primitive:!0},handler:function(e,t){var r=Cr(t[0],e),n=e.parser;++n.leftrightDepth;var a=n.parseExpression(!1);--n.leftrightDepth,n.expect("\\right",!1);var i=Ut(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){qr(e);for(var r,n,a=ft(e.body,t,!0,["mopen","mclose"]),i=0,o=0,s=!1,l=0;l-1?"mpadded":"menclose",[Rt(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};ot({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=Ut(t[0],"color-token").color,o=t[1];return{type:"enclose",mode:n.mode,label:a,backgroundColor:i,body:o}},htmlBuilder:Nr,mathmlBuilder:Ir}),ot({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=Ut(t[0],"color-token").color,o=Ut(t[1],"color-token").color,s=t[2];return{type:"enclose",mode:n.mode,label:a,backgroundColor:o,borderColor:i,body:s}},htmlBuilder:Nr,mathmlBuilder:Ir}),ot({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]}}}),ot({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:Nr,mathmlBuilder:Ir}),ot({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 Or(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;l1||!c)&&g.pop(),b.length0&&(y+=.25),m.push({pos:y,isDashed:e[t]})}for(w(o[0]),r=0;r0&&(M<(B+=b)&&(M=B),B=0),e.addJot&&(M+=f),z.height=S,z.depth=M,y+=S,z.pos=y,y+=M+B,h[r]=z,w(o[r+1])}var C,q,N=y/2+t.fontMetrics().axisHeight,I=e.cols||[],R=[],O=[];if(e.tags&&e.tags.some((function(e){return e})))for(r=0;r=s)){var W=void 0;(a>0||e.hskipBeforeAndAfter)&&0!==(W=l.deflt(P.pregap,p))&&((C=Ke.makeSpan(["arraycolsep"],[])).style.width=V(W),R.push(C));var _=[];for(r=0;r0){for(var K=Ke.makeLineSpan("hline",t,c),J=Ke.makeLineSpan("hdashline",t,c),Q=[{type:"elem",elem:h,shift:0}];m.length>0;){var ee=m.pop(),te=ee.pos-N;ee.isDashed?Q.push({type:"elem",elem:J,shift:te}):Q.push({type:"elem",elem:K,shift:te})}h=Ke.makeVList({positionType:"individualShift",children:Q},t)}if(0===O.length)return Ke.makeSpan(["mord"],[h],t);var re=Ke.makeVList({positionType:"individualShift",children:O},t);return re=Ke.makeSpan(["tag"],[re],t),Ke.makeFragment([h,re])},Xr={c:"center ",l:"left ",r:"right "},Wr=function(e,t){for(var r=[],n=new Tt.MathNode("mtd",[],["mtr-glue"]),a=new Tt.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="split"===e.envName,s=Gr(e.parser,{cols:a,addJot:!0,autoTag:o?void 0:Vr(e.envName),emptySingleRow:!0,colSeparationType:i,maxNumCols:o?2:void 0,leqno:e.parser.settings.leqno},"display"),l=0,h={type:"ordgroup",mode:e.mode,body:[]};if(t[0]&&"ordgroup"===t[0].type){for(var m="",c=0;c0&&u&&(f=1),a[p]={type:"align",align:d,pregap:f,postgap:0}}return s.colSeparationType=u?"align":"alignat",s};Or({type:"array",names:["array","darray"],props:{numArgs:1},handler:function(e,t){var r=(Xt(t[0])?[t[0]]:Ut(t[0],"ordgroup").body).map((function(e){var t=Yt(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 Gr(e.parser,a,Ur(e.envName))},htmlBuilder:Yr,mathmlBuilder:Wr}),Or({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(r))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=Gr(e.parser,a,Ur(e.envName)),s=Math.max.apply(Math,[0].concat(o.body.map((function(e){return e.length}))));return o.cols=new Array(s).fill({type:"align",align:r}),t?{type:"leftright",mode:e.mode,body:[o],left:t[0],right:t[1],rightColor:void 0}:o},htmlBuilder:Yr,mathmlBuilder:Wr}),Or({type:"array",names:["smallmatrix"],props:{numArgs:0},handler:function(e){var t=Gr(e.parser,{arraystretch:.5},"script");return t.colSeparationType="small",t},htmlBuilder:Yr,mathmlBuilder:Wr}),Or({type:"array",names:["subarray"],props:{numArgs:1},handler:function(e,t){var r=(Xt(t[0])?[t[0]]:Ut(t[0],"ordgroup").body).map((function(e){var t=Yt(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=Gr(e.parser,a,"script")).body.length>0&&a.body[0].length>1)throw new n("{subarray} can contain only one column");return a},htmlBuilder:Yr,mathmlBuilder:Wr}),Or({type:"array",names:["cases","dcases","rcases","drcases"],props:{numArgs:0},handler:function(e){var t=Gr(e.parser,{arraystretch:1.2,cols:[{type:"align",align:"l",pregap:0,postgap:1},{type:"align",align:"l",pregap:0,postgap:0}]},Ur(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:Yr,mathmlBuilder:Wr}),Or({type:"array",names:["align","align*","aligned","split"],props:{numArgs:0},handler:_r,htmlBuilder:Yr,mathmlBuilder:Wr}),Or({type:"array",names:["gathered","gather","gather*"],props:{numArgs:0},handler:function(e){l.contains(["gather","gather*"],e.envName)&&Fr(e);var t={cols:[{type:"align",align:"c"}],addJot:!0,colSeparationType:"gather",autoTag:Vr(e.envName),emptySingleRow:!0,leqno:e.parser.settings.leqno};return Gr(e.parser,t,"display")},htmlBuilder:Yr,mathmlBuilder:Wr}),Or({type:"array",names:["alignat","alignat*","alignedat"],props:{numArgs:1},handler:_r,htmlBuilder:Yr,mathmlBuilder:Wr}),Or({type:"array",names:["equation","equation*"],props:{numArgs:0},handler:function(e){Fr(e);var t={autoTag:Vr(e.envName),emptySingleRow:!0,singleRow:!0,maxNumCols:1,leqno:e.parser.settings.leqno};return Gr(e.parser,t,"display")},htmlBuilder:Yr,mathmlBuilder:Wr}),Or({type:"array",names:["CD"],props:{numArgs:0},handler:function(e){return Fr(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;g=x.SCRIPT.id?r.text():x.DISPLAY:"text"===e&&r.size===x.DISPLAY.size?r=x.TEXT:"script"===e?r=x.SCRIPT:"scriptscript"===e&&(r=x.SCRIPTSCRIPT),r},nn=function(e,t){var r,n=rn(e.size,t.style),a=n.fracNum(),i=n.fracDen();r=t.havingStyle(a);var o=wt(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};ot({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=lt(t[0]),s="atom"===o.type&&"open"===o.family?sn(o.text):null,l=lt(t[1]),h="atom"===l.type&&"close"===l.family?sn(l.text):null,m=Ut(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=Ut(p.body[0],"textord");u=on[Number(d.text)]}}else p=Ut(p,"textord"),u=on[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:nn,mathmlBuilder:an}),ot({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:Ut(t[0],"size").value,token:n}}}),ot({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}(Ut(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:nn,mathmlBuilder:an});var ln=function(e,t){var r,n,a=t.style;"supsub"===e.type?(r=e.sup?wt(e.sup,t.havingStyle(a.sup()),t):wt(e.sub,t.havingStyle(a.sub()),t),n=Ut(e.base,"horizBrace")):n=Ut(e,"horizBrace");var i,o=wt(n.base,t.havingBaseStyle(x.DISPLAY)),s=Gt(n,t);if(n.isOver?(i=Ke.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=Ke.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=Ke.makeSpan(["mord",n.isOver?"mover":"munder"],[i],t);i=n.isOver?Ke.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:l},{type:"kern",size:.2},{type:"elem",elem:r}]},t):Ke.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 Ke.makeSpan(["mord",n.isOver?"mover":"munder"],[i],t)};ot({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:ln,mathmlBuilder:function(e,t){var r=Vt(e.label);return new Tt.MathNode(e.isOver?"mover":"munder",[Rt(e.base,t),r])}}),ot({type:"href",names:["\\href"],props:{numArgs:2,argTypes:["url","original"],allowedInText:!0},handler:function(e,t){var r=e.parser,n=t[1],a=Ut(t[0],"url").url;return r.settings.isTrusted({command:"\\href",url:a})?{type:"href",mode:r.mode,href:a,body:ht(n)}:r.formatUnsupportedCmd("\\href")},htmlBuilder:function(e,t){var r=ft(e.body,t,!1);return Ke.makeAnchor(e.href,[],r,t)},mathmlBuilder:function(e,t){var r=It(e.body,t);return r instanceof zt||(r=new zt("mrow",[r])),r.setAttribute("href",e.href),r}}),ot({type:"href",names:["\\url"],props:{numArgs:1,argTypes:["url"],allowedInText:!0},handler:function(e,t){var r=e.parser,n=Ut(t[0],"url").url;if(!r.settings.isTrusted({command:"\\url",url:n}))return r.formatUnsupportedCmd("\\url");for(var a=[],i=0;i0&&(n=F(e.totalheight,t)-r);var a=0;e.width.number>0&&(a=F(e.width,t));var i={height:V(r+n)};a>0&&(i.width=V(a)),n>0&&(i.verticalAlign=V(-n));var o=new j(e.src,e.alt,i);return o.height=r,o.depth=n,o},mathmlBuilder:function(e,t){var r=new Tt.MathNode("mglyph",[]);r.setAttribute("alt",e.alt);var n=F(e.height,t),a=0;if(e.totalheight.number>0&&(a=F(e.totalheight,t)-n,r.setAttribute("valign",V(-a))),r.setAttribute("height",V(n+a)),e.width.number>0){var i=F(e.width,t);r.setAttribute("width",V(i))}return r.setAttribute("src",e.src),r}}),ot({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=Ut(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 Ke.makeGlue(e.dimension,t)},mathmlBuilder:function(e,t){var r=F(e.dimension,t);return new Tt.SpaceNode(r)}}),ot({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=Ke.makeSpan([],[wt(e.body,t)]),r=Ke.makeSpan(["inner"],[r],t)):r=Ke.makeSpan(["inner"],[wt(e.body,t)]);var n=Ke.makeSpan(["fix"],[]),a=Ke.makeSpan([e.alignment],[r,n],t),i=Ke.makeSpan(["strut"]);return i.style.height=V(a.height+a.depth),a.depth&&(i.style.verticalAlign=V(-a.depth)),a.children.unshift(i),a=Ke.makeSpan(["thinbox"],[a],t),Ke.makeSpan(["mord","vbox"],[a],t)},mathmlBuilder:function(e,t){var r=new Tt.MathNode("mpadded",[Rt(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}}),ot({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}}}),ot({type:"text",names:["\\)","\\]"],props:{numArgs:0,allowedInText:!0,allowedInMath:!1},handler:function(e,t){throw new n("Mismatched "+e.funcName)}});var mn=function(e,t){switch(t.style.size){case x.DISPLAY.size:return e.display;case x.TEXT.size:return e.text;case x.SCRIPT.size:return e.script;case x.SCRIPTSCRIPT.size:return e.scriptscript;default:return e.text}};ot({type:"mathchoice",names:["\\mathchoice"],props:{numArgs:4,primitive:!0},handler:function(e,t){return{type:"mathchoice",mode:e.parser.mode,display:ht(t[0]),text:ht(t[1]),script:ht(t[2]),scriptscript:ht(t[3])}},htmlBuilder:function(e,t){var r=mn(e,t),n=ft(r,t,!1);return Ke.makeFragment(n)},mathmlBuilder:function(e,t){var r=mn(e,t);return It(r,t)}});var cn=function(e,t,r,n,a,i,o){e=Ke.makeSpan([],[e]);var s,h,m,c=r&&l.isCharacterBox(r);if(t){var u=wt(t,n.havingStyle(a.sup()),n);h={elem:u,kern:Math.max(n.fontMetrics().bigOpSpacing1,n.fontMetrics().bigOpSpacing3-u.depth)}}if(r){var p=wt(r,n.havingStyle(a.sub()),n);s={elem:p,kern:Math.max(n.fontMetrics().bigOpSpacing2,n.fontMetrics().bigOpSpacing4-p.height)}}if(h&&s){var d=n.fontMetrics().bigOpSpacing5+s.elem.height+s.elem.depth+s.kern+e.depth+o;m=Ke.makeVList({positionType:"bottom",positionData:d,children:[{type:"kern",size:n.fontMetrics().bigOpSpacing5},{type:"elem",elem:s.elem,marginLeft:V(-i)},{type:"kern",size:s.kern},{type:"elem",elem:e},{type:"kern",size:h.kern},{type:"elem",elem:h.elem,marginLeft:V(i)},{type:"kern",size:n.fontMetrics().bigOpSpacing5}]},n)}else if(s){var f=e.height-o;m=Ke.makeVList({positionType:"top",positionData:f,children:[{type:"kern",size:n.fontMetrics().bigOpSpacing5},{type:"elem",elem:s.elem,marginLeft:V(-i)},{type:"kern",size:s.kern},{type:"elem",elem:e}]},n)}else{if(!h)return e;var g=e.depth+o;m=Ke.makeVList({positionType:"bottom",positionData:g,children:[{type:"elem",elem:e},{type:"kern",size:h.kern},{type:"elem",elem:h.elem,marginLeft:V(i)},{type:"kern",size:n.fontMetrics().bigOpSpacing5}]},n)}var v=[m];if(s&&0!==i&&!c){var b=Ke.makeSpan(["mspace"],[],n);b.style.marginRight=V(i),v.unshift(b)}return Ke.makeSpan(["mop","op-limits"],v,n)},un=["\\smallint"],pn=function(e,t){var r,n,a,i=!1;"supsub"===e.type?(r=e.sup,n=e.sub,a=Ut(e.base,"op"),i=!0):a=Ut(e,"op");var o,s=t.style,h=!1;if(s.size===x.DISPLAY.size&&a.symbol&&!l.contains(un,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=Ke.makeSymbol(a.name,m,"math",t,["mop","op-symbol",h?"large-op":"small-op"]),c.length>0){var u=o.italic,p=Ke.staticSvg(c+"Size"+(h?"2":"1"),t);o=Ke.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=ft(a.body,t,!0);1===d.length&&d[0]instanceof Z?(o=d[0]).classes[0]="mop":o=Ke.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=ft(s,t.withFont("mathrm"),!0),h=0;h=0?s.setAttribute("height",V(a)):(s.setAttribute("height",V(a)),s.setAttribute("depth",V(-a))),s.setAttribute("voffset",V(a)),s}});var yn=["\\tiny","\\sixptsize","\\scriptsize","\\footnotesize","\\small","\\normalsize","\\large","\\Large","\\LARGE","\\huge","\\Huge"];ot({type:"sizing",names:yn,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:yn.indexOf(n)+1,body:i}},htmlBuilder:function(e,t){var r=t.havingSize(e.size);return bn(e.body,r,t)},mathmlBuilder:function(e,t){var r=t.havingSize(e.size),n=Nt(e.body,r),a=new Tt.MathNode("mstyle",n);return a.setAttribute("mathsize",V(r.sizeMultiplier)),a}}),ot({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]&&Ut(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=V(m);var p=Ke.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(x.SCRIPTSCRIPT),f=wt(e.index,d,t),g=.6*(p.height-p.depth),v=Ke.makeVList({positionType:"shift",positionData:-g,children:[{type:"elem",elem:f}]},t),b=Ke.makeSpan(["root"],[v]);return Ke.makeSpan(["mord","sqrt"],[b,p],t)}return Ke.makeSpan(["mord","sqrt"],[p],t)},mathmlBuilder:function(e,t){var r=e.body,n=e.index;return n?new Tt.MathNode("mroot",[Rt(r,t),Rt(n,t)]):new Tt.MathNode("msqrt",[Rt(r,t)])}});var xn={display:x.DISPLAY,text:x.TEXT,script:x.SCRIPT,scriptscript:x.SCRIPTSCRIPT};ot({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=xn[e.style],n=t.havingStyle(r).withFont("");return bn(e.body,n,t)},mathmlBuilder:function(e,t){var r=xn[e.style],n=t.havingStyle(r),a=Nt(e.body,n),i=new Tt.MathNode("mstyle",a),o={display:["0","true"],text:["0","false"],script:["1","false"],scriptscript:["2","false"]}[e.style];return i.setAttribute("scriptlevel",o[0]),i.setAttribute("displaystyle",o[1]),i}});var wn=function(e,t){var r=e.base;return r?"op"===r.type?r.limits&&(t.style.size===x.DISPLAY.size||r.alwaysHandleSupSub)?pn:null:"operatorname"===r.type?r.alwaysHandleSupSub&&(t.style.size===x.DISPLAY.size||r.limits)?vn:null:"accent"===r.type?l.isCharacterBox(r.base)?Wt:null:"horizBrace"===r.type&&!e.sub===r.isOver?ln:null:null};st({type:"supsub",htmlBuilder:function(e,t){var r=wn(e,t);if(r)return r(e,t);var n,a,i,o=e.base,s=e.sup,h=e.sub,m=wt(o,t),c=t.fontMetrics(),u=0,p=0,d=o&&l.isCharacterBox(o);if(s){var f=t.havingStyle(t.style.sup());n=wt(s,f,t),d||(u=m.height-f.fontMetrics().supDrop*f.sizeMultiplier/t.sizeMultiplier)}if(h){var g=t.havingStyle(t.style.sub());a=wt(h,g,t),d||(p=m.depth+g.fontMetrics().subDrop*g.sizeMultiplier/t.sizeMultiplier)}i=t.style===x.DISPLAY?c.sup1:t.style.cramped?c.sup3:c.sup2;var v,b=t.sizeMultiplier,y=V(.5/c.ptPerEm/b),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 Z||k)&&(w=V(-m.italic))}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)0&&(u+=M,p-=M)}var z=[{type:"elem",elem:a,shift:p,marginRight:y,marginLeft:w},{type:"elem",elem:n,shift:-u,marginRight:y}];v=Ke.makeVList({positionType:"individualShift",children:z},t)}else if(a){p=Math.max(p,c.sub1,a.height-.8*c.xHeight);var A=[{type:"elem",elem:a,marginLeft:w,marginRight:y}];v=Ke.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=Ke.makeVList({positionType:"shift",positionData:-u,children:[{type:"elem",elem:n,marginRight:y}]},t)}var T=yt(m,"right")||"mord";return Ke.makeSpan([T],[m,Ke.makeSpan(["msupsub"],[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=[Rt(e.base,t)];if(e.sub&&i.push(Rt(e.sub,t)),e.sup&&i.push(Rt(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===x.DISPLAY||o&&"operatorname"===o.type&&o.alwaysHandleSupSub&&(t.style===x.DISPLAY||o.limits)?"munderover":"msubsup"}else{var s=e.base;a=s&&"op"===s.type&&s.limits&&(t.style===x.DISPLAY||s.alwaysHandleSupSub)||s&&"operatorname"===s.type&&s.alwaysHandleSupSub&&(s.limits||t.style===x.DISPLAY)?"munder":"msub"}else{var l=e.base;a=l&&"op"===l.type&&l.limits&&(t.style===x.DISPLAY||l.alwaysHandleSupSub)||l&&"operatorname"===l.type&&l.alwaysHandleSupSub&&(l.limits||t.style===x.DISPLAY)?"mover":"msup"}return new Tt.MathNode(a,i)}}),st({type:"atom",htmlBuilder:function(e,t){return Ke.mathsym(e.text,e.mode,t,["m"+e.family])},mathmlBuilder:function(e,t){var r=new Tt.MathNode("mo",[Bt(e.text,e.mode)]);if("bin"===e.family){var n=qt(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 kn={mi:"italic",mn:"normal",mtext:"normal"};st({type:"mathord",htmlBuilder:function(e,t){return Ke.makeOrd(e,t,"mathord")},mathmlBuilder:function(e,t){var r=new Tt.MathNode("mi",[Bt(e.text,e.mode,t)]),n=qt(e,t)||"italic";return n!==kn[r.type]&&r.setAttribute("mathvariant",n),r}}),st({type:"textord",htmlBuilder:function(e,t){return Ke.makeOrd(e,t,"textord")},mathmlBuilder:function(e,t){var r,n=Bt(e.text,e.mode,t),a=qt(e,t)||"normal";return r="text"===e.mode?new Tt.MathNode("mtext",[n]):/[0-9]/.test(e.text)?new Tt.MathNode("mn",[n]):"\\prime"===e.text?new Tt.MathNode("mo",[n]):new Tt.MathNode("mi",[n]),a!==kn[r.type]&&r.setAttribute("mathvariant",a),r}});var Sn={"\\nobreak":"nobreak","\\allowbreak":"allowbreak"},Mn={" ":{},"\\ ":{},"~":{className:"nobreak"},"\\space":{},"\\nobreakspace":{className:"nobreak"}};st({type:"spacing",htmlBuilder:function(e,t){if(Mn.hasOwnProperty(e.text)){var r=Mn[e.text].className||"";if("text"===e.mode){var a=Ke.makeOrd(e,t,"textord");return a.classes.push(r),a}return Ke.makeSpan(["mspace",r],[Ke.mathsym(e.text,e.mode,t)],t)}if(Sn.hasOwnProperty(e.text))return Ke.makeSpan(["mspace",Sn[e.text]],[],t);throw new n('Unknown type of space "'+e.text+'"')},mathmlBuilder:function(e,t){if(!Mn.hasOwnProperty(e.text)){if(Sn.hasOwnProperty(e.text))return new Tt.MathNode("mspace");throw new n('Unknown type of space "'+e.text+'"')}return new Tt.MathNode("mtext",[new Tt.TextNode("\xa0")])}});var zn=function(){var e=new Tt.MathNode("mtd",[]);return e.setAttribute("width","50%"),e};st({type:"tag",mathmlBuilder:function(e,t){var r=new Tt.MathNode("mtable",[new Tt.MathNode("mtr",[zn(),new Tt.MathNode("mtd",[It(e.body,t)]),zn(),new Tt.MathNode("mtd",[It(e.tag,t)])])]);return r.setAttribute("width","100%"),r}});var An={"\\text":void 0,"\\textrm":"textrm","\\textsf":"textsf","\\texttt":"texttt","\\textnormal":"textrm"},Tn={"\\textbf":"textbf","\\textmd":"textmd"},Bn={"\\textit":"textit","\\textup":"textup"},Cn=function(e,t){var r=e.font;return r?An[r]?t.withTextFontFamily(An[r]):Tn[r]?t.withTextFontWeight(Tn[r]):t.withTextFontShape(Bn[r]):t};ot({type:"text",names:["\\text","\\textrm","\\textsf","\\texttt","\\textnormal","\\textbf","\\textmd","\\textit","\\textup"],props:{numArgs:1,argTypes:["text"],allowedInArgument:!0,allowedInText:!0},handler:function(e,t){var r=e.parser,n=e.funcName,a=t[0];return{type:"text",mode:r.mode,body:ht(a),font:n}},htmlBuilder:function(e,t){var r=Cn(e,t),n=ft(e.body,r,!0);return Ke.makeSpan(["mord","text"],n,r)},mathmlBuilder:function(e,t){var r=Cn(e,t);return It(e.body,r)}}),ot({type:"underline",names:["\\underline"],props:{numArgs:1,allowedInText:!0},handler:function(e,t){return{type:"underline",mode:e.parser.mode,body:t[0]}},htmlBuilder:function(e,t){var r=wt(e.body,t),n=Ke.makeLineSpan("underline-line",t),a=t.fontMetrics().defaultRuleThickness,i=Ke.makeVList({positionType:"top",positionData:r.height,children:[{type:"kern",size:a},{type:"elem",elem:n},{type:"kern",size:3*a},{type:"elem",elem:r}]},t);return Ke.makeSpan(["mord","underline"],[i],t)},mathmlBuilder:function(e,t){var r=new Tt.MathNode("mo",[new Tt.TextNode("\u203e")]);r.setAttribute("stretchy","true");var n=new Tt.MathNode("munder",[Rt(e.body,t),r]);return n.setAttribute("accentunder","true"),n}}),ot({type:"vcenter",names:["\\vcenter"],props:{numArgs:1,argTypes:["original"],allowedInText:!1},handler:function(e,t){return{type:"vcenter",mode:e.parser.mode,body:t[0]}},htmlBuilder:function(e,t){var r=wt(e.body,t),n=t.fontMetrics().axisHeight,a=.5*(r.height-n-(r.depth+n));return Ke.makeVList({positionType:"shift",positionData:a,children:[{type:"elem",elem:r}]},t)},mathmlBuilder:function(e,t){return new Tt.MathNode("mpadded",[Rt(e.body,t)],["vcenter"])}}),ot({type:"verb",names:["\\verb"],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=qn(e),n=[],a=t.havingStyle(t.style.text()),i=0;i0;)this.endGroup()},t.has=function(e){return this.current.hasOwnProperty(e)||this.builtins.hasOwnProperty(e)},t.get=function(e){return this.current.hasOwnProperty(e)?this.current[e]:this.builtins[e]},t.set=function(e,t,r){if(void 0===r&&(r=!1),r){for(var n=0;n0&&(this.undefStack[this.undefStack.length-1][e]=t)}else{var a=this.undefStack[this.undefStack.length-1];a&&!a.hasOwnProperty(e)&&(a[e]=this.current[e])}null==t?delete this.current[e]:this.current[e]=t},e}(),Hn=Hr;Er("\\noexpand",(function(e){var t=e.popToken();return e.isExpandable(t.text)&&(t.noexpand=!0,t.treatAsRelax=!0),{tokens:[t],numArgs:0}})),Er("\\expandafter",(function(e){var t=e.popToken();return e.expandOnce(!0),{tokens:[t],numArgs:0}})),Er("\\@firstoftwo",(function(e){return{tokens:e.consumeArgs(2)[0],numArgs:0}})),Er("\\@secondoftwo",(function(e){return{tokens:e.consumeArgs(2)[1],numArgs:0}})),Er("\\@ifnextchar",(function(e){var t=e.consumeArgs(3);e.consumeSpaces();var r=e.future();return 1===t[0].length&&t[0][0].text===r.text?{tokens:t[1],numArgs:0}:{tokens:t[2],numArgs:0}})),Er("\\@ifstar","\\@ifnextchar *{\\@firstoftwo{#1}}"),Er("\\TextOrMath",(function(e){var t=e.consumeArgs(2);return"text"===e.mode?{tokens:t[0],numArgs:0}:{tokens:t[1],numArgs:0}}));var En={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};Er("\\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[0])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=En[r.text])||a>=t)throw new n("Invalid base-"+t+" digit "+r.text);for(var i;null!=(i=En[e.future().text])&&i":"\\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"};Er("\\dots",(function(e){var t="\\dotso",r=e.expandAfterFuture().text;return r in Dn?t=Dn[r]:("\\not"===r.substr(0,4)||r in ae.math&&l.contains(["bin","rel"],ae.math[r].group))&&(t="\\dotsb"),t}));var Pn={")":!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};Er("\\dotso",(function(e){return e.future().text in Pn?"\\ldots\\,":"\\ldots"})),Er("\\dotsc",(function(e){var t=e.future().text;return t in Pn&&","!==t?"\\ldots\\,":"\\ldots"})),Er("\\cdots",(function(e){return e.future().text in Pn?"\\@cdots\\,":"\\@cdots"})),Er("\\dotsb","\\cdots"),Er("\\dotsm","\\cdots"),Er("\\dotsi","\\!\\cdots"),Er("\\dotsx","\\ldots\\,"),Er("\\DOTSI","\\relax"),Er("\\DOTSB","\\relax"),Er("\\DOTSX","\\relax"),Er("\\tmspace","\\TextOrMath{\\kern#1#3}{\\mskip#1#2}\\relax"),Er("\\,","\\tmspace+{3mu}{.1667em}"),Er("\\thinspace","\\,"),Er("\\>","\\mskip{4mu}"),Er("\\:","\\tmspace+{4mu}{.2222em}"),Er("\\medspace","\\:"),Er("\\;","\\tmspace+{5mu}{.2777em}"),Er("\\thickspace","\\;"),Er("\\!","\\tmspace-{3mu}{.1667em}"),Er("\\negthinspace","\\!"),Er("\\negmedspace","\\tmspace-{4mu}{.2222em}"),Er("\\negthickspace","\\tmspace-{5mu}{.277em}"),Er("\\enspace","\\kern.5em "),Er("\\enskip","\\hskip.5em\\relax"),Er("\\quad","\\hskip1em\\relax"),Er("\\qquad","\\hskip2em\\relax"),Er("\\tag","\\@ifstar\\tag@literal\\tag@paren"),Er("\\tag@paren","\\tag@literal{({#1})}"),Er("\\tag@literal",(function(e){if(e.macros.get("\\df@tag"))throw new n("Multiple \\tag");return"\\gdef\\df@tag{\\text{#1}}"})),Er("\\bmod","\\mathchoice{\\mskip1mu}{\\mskip1mu}{\\mskip5mu}{\\mskip5mu}\\mathbin{\\rm mod}\\mathchoice{\\mskip1mu}{\\mskip1mu}{\\mskip5mu}{\\mskip5mu}"),Er("\\pod","\\allowbreak\\mathchoice{\\mkern18mu}{\\mkern8mu}{\\mkern8mu}{\\mkern8mu}(#1)"),Er("\\pmod","\\pod{{\\rm mod}\\mkern6mu#1}"),Er("\\mod","\\allowbreak\\mathchoice{\\mkern18mu}{\\mkern12mu}{\\mkern12mu}{\\mkern12mu}{\\rm mod}\\,\\,#1"),Er("\\pmb","\\html@mathml{\\@binrel{#1}{\\mathrlap{#1}\\kern0.5px#1}}{\\mathbf{#1}}"),Er("\\newline","\\\\\\relax"),Er("\\TeX","\\textrm{\\html@mathml{T\\kern-.1667em\\raisebox{-.5ex}{E}\\kern-.125emX}{TeX}}");var Fn=V(T["Main-Regular"]["T".charCodeAt(0)][1]-.7*T["Main-Regular"]["A".charCodeAt(0)][1]);Er("\\LaTeX","\\textrm{\\html@mathml{L\\kern-.36em\\raisebox{"+Fn+"}{\\scriptstyle A}\\kern-.15em\\TeX}{LaTeX}}"),Er("\\KaTeX","\\textrm{\\html@mathml{K\\kern-.17em\\raisebox{"+Fn+"}{\\scriptstyle A}\\kern-.15em\\TeX}{KaTeX}}"),Er("\\hspace","\\@ifstar\\@hspacer\\@hspace"),Er("\\@hspace","\\hskip #1\\relax"),Er("\\@hspacer","\\rule{0pt}{0pt}\\hskip #1\\relax"),Er("\\ordinarycolon",":"),Er("\\vcentcolon","\\mathrel{\\mathop\\ordinarycolon}"),Er("\\dblcolon",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-.9mu}\\vcentcolon}}{\\mathop{\\char"2237}}'),Er("\\coloneqq",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}=}}{\\mathop{\\char"2254}}'),Er("\\Coloneqq",'\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}=}}{\\mathop{\\char"2237\\char"3d}}'),Er("\\coloneq",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\mathrel{-}}}{\\mathop{\\char"3a\\char"2212}}'),Er("\\Coloneq",'\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\mathrel{-}}}{\\mathop{\\char"2237\\char"2212}}'),Er("\\eqqcolon",'\\html@mathml{\\mathrel{=\\mathrel{\\mkern-1.2mu}\\vcentcolon}}{\\mathop{\\char"2255}}'),Er("\\Eqqcolon",'\\html@mathml{\\mathrel{=\\mathrel{\\mkern-1.2mu}\\dblcolon}}{\\mathop{\\char"3d\\char"2237}}'),Er("\\eqcolon",'\\html@mathml{\\mathrel{\\mathrel{-}\\mathrel{\\mkern-1.2mu}\\vcentcolon}}{\\mathop{\\char"2239}}'),Er("\\Eqcolon",'\\html@mathml{\\mathrel{\\mathrel{-}\\mathrel{\\mkern-1.2mu}\\dblcolon}}{\\mathop{\\char"2212\\char"2237}}'),Er("\\colonapprox",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\approx}}{\\mathop{\\char"3a\\char"2248}}'),Er("\\Colonapprox",'\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\approx}}{\\mathop{\\char"2237\\char"2248}}'),Er("\\colonsim",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\sim}}{\\mathop{\\char"3a\\char"223c}}'),Er("\\Colonsim",'\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\sim}}{\\mathop{\\char"2237\\char"223c}}'),Er("\u2237","\\dblcolon"),Er("\u2239","\\eqcolon"),Er("\u2254","\\coloneqq"),Er("\u2255","\\eqqcolon"),Er("\u2a74","\\Coloneqq"),Er("\\ratio","\\vcentcolon"),Er("\\coloncolon","\\dblcolon"),Er("\\colonequals","\\coloneqq"),Er("\\coloncolonequals","\\Coloneqq"),Er("\\equalscolon","\\eqqcolon"),Er("\\equalscoloncolon","\\Eqqcolon"),Er("\\colonminus","\\coloneq"),Er("\\coloncolonminus","\\Coloneq"),Er("\\minuscolon","\\eqcolon"),Er("\\minuscoloncolon","\\Eqcolon"),Er("\\coloncolonapprox","\\Colonapprox"),Er("\\coloncolonsim","\\Colonsim"),Er("\\simcolon","\\mathrel{\\sim\\mathrel{\\mkern-1.2mu}\\vcentcolon}"),Er("\\simcoloncolon","\\mathrel{\\sim\\mathrel{\\mkern-1.2mu}\\dblcolon}"),Er("\\approxcolon","\\mathrel{\\approx\\mathrel{\\mkern-1.2mu}\\vcentcolon}"),Er("\\approxcoloncolon","\\mathrel{\\approx\\mathrel{\\mkern-1.2mu}\\dblcolon}"),Er("\\notni","\\html@mathml{\\not\\ni}{\\mathrel{\\char`\u220c}}"),Er("\\limsup","\\DOTSB\\operatorname*{lim\\,sup}"),Er("\\liminf","\\DOTSB\\operatorname*{lim\\,inf}"),Er("\\injlim","\\DOTSB\\operatorname*{inj\\,lim}"),Er("\\projlim","\\DOTSB\\operatorname*{proj\\,lim}"),Er("\\varlimsup","\\DOTSB\\operatorname*{\\overline{lim}}"),Er("\\varliminf","\\DOTSB\\operatorname*{\\underline{lim}}"),Er("\\varinjlim","\\DOTSB\\operatorname*{\\underrightarrow{lim}}"),Er("\\varprojlim","\\DOTSB\\operatorname*{\\underleftarrow{lim}}"),Er("\\gvertneqq","\\html@mathml{\\@gvertneqq}{\u2269}"),Er("\\lvertneqq","\\html@mathml{\\@lvertneqq}{\u2268}"),Er("\\ngeqq","\\html@mathml{\\@ngeqq}{\u2271}"),Er("\\ngeqslant","\\html@mathml{\\@ngeqslant}{\u2271}"),Er("\\nleqq","\\html@mathml{\\@nleqq}{\u2270}"),Er("\\nleqslant","\\html@mathml{\\@nleqslant}{\u2270}"),Er("\\nshortmid","\\html@mathml{\\@nshortmid}{\u2224}"),Er("\\nshortparallel","\\html@mathml{\\@nshortparallel}{\u2226}"),Er("\\nsubseteqq","\\html@mathml{\\@nsubseteqq}{\u2288}"),Er("\\nsupseteqq","\\html@mathml{\\@nsupseteqq}{\u2289}"),Er("\\varsubsetneq","\\html@mathml{\\@varsubsetneq}{\u228a}"),Er("\\varsubsetneqq","\\html@mathml{\\@varsubsetneqq}{\u2acb}"),Er("\\varsupsetneq","\\html@mathml{\\@varsupsetneq}{\u228b}"),Er("\\varsupsetneqq","\\html@mathml{\\@varsupsetneqq}{\u2acc}"),Er("\\imath","\\html@mathml{\\@imath}{\u0131}"),Er("\\jmath","\\html@mathml{\\@jmath}{\u0237}"),Er("\\llbracket","\\html@mathml{\\mathopen{[\\mkern-3.2mu[}}{\\mathopen{\\char`\u27e6}}"),Er("\\rrbracket","\\html@mathml{\\mathclose{]\\mkern-3.2mu]}}{\\mathclose{\\char`\u27e7}}"),Er("\u27e6","\\llbracket"),Er("\u27e7","\\rrbracket"),Er("\\lBrace","\\html@mathml{\\mathopen{\\{\\mkern-3.2mu[}}{\\mathopen{\\char`\u2983}}"),Er("\\rBrace","\\html@mathml{\\mathclose{]\\mkern-3.2mu\\}}}{\\mathclose{\\char`\u2984}}"),Er("\u2983","\\lBrace"),Er("\u2984","\\rBrace"),Er("\\minuso","\\mathbin{\\html@mathml{{\\mathrlap{\\mathchoice{\\kern{0.145em}}{\\kern{0.145em}}{\\kern{0.1015em}}{\\kern{0.0725em}}\\circ}{-}}}{\\char`\u29b5}}"),Er("\u29b5","\\minuso"),Er("\\darr","\\downarrow"),Er("\\dArr","\\Downarrow"),Er("\\Darr","\\Downarrow"),Er("\\lang","\\langle"),Er("\\rang","\\rangle"),Er("\\uarr","\\uparrow"),Er("\\uArr","\\Uparrow"),Er("\\Uarr","\\Uparrow"),Er("\\N","\\mathbb{N}"),Er("\\R","\\mathbb{R}"),Er("\\Z","\\mathbb{Z}"),Er("\\alef","\\aleph"),Er("\\alefsym","\\aleph"),Er("\\Alpha","\\mathrm{A}"),Er("\\Beta","\\mathrm{B}"),Er("\\bull","\\bullet"),Er("\\Chi","\\mathrm{X}"),Er("\\clubs","\\clubsuit"),Er("\\cnums","\\mathbb{C}"),Er("\\Complex","\\mathbb{C}"),Er("\\Dagger","\\ddagger"),Er("\\diamonds","\\diamondsuit"),Er("\\empty","\\emptyset"),Er("\\Epsilon","\\mathrm{E}"),Er("\\Eta","\\mathrm{H}"),Er("\\exist","\\exists"),Er("\\harr","\\leftrightarrow"),Er("\\hArr","\\Leftrightarrow"),Er("\\Harr","\\Leftrightarrow"),Er("\\hearts","\\heartsuit"),Er("\\image","\\Im"),Er("\\infin","\\infty"),Er("\\Iota","\\mathrm{I}"),Er("\\isin","\\in"),Er("\\Kappa","\\mathrm{K}"),Er("\\larr","\\leftarrow"),Er("\\lArr","\\Leftarrow"),Er("\\Larr","\\Leftarrow"),Er("\\lrarr","\\leftrightarrow"),Er("\\lrArr","\\Leftrightarrow"),Er("\\Lrarr","\\Leftrightarrow"),Er("\\Mu","\\mathrm{M}"),Er("\\natnums","\\mathbb{N}"),Er("\\Nu","\\mathrm{N}"),Er("\\Omicron","\\mathrm{O}"),Er("\\plusmn","\\pm"),Er("\\rarr","\\rightarrow"),Er("\\rArr","\\Rightarrow"),Er("\\Rarr","\\Rightarrow"),Er("\\real","\\Re"),Er("\\reals","\\mathbb{R}"),Er("\\Reals","\\mathbb{R}"),Er("\\Rho","\\mathrm{P}"),Er("\\sdot","\\cdot"),Er("\\sect","\\S"),Er("\\spades","\\spadesuit"),Er("\\sub","\\subset"),Er("\\sube","\\subseteq"),Er("\\supe","\\supseteq"),Er("\\Tau","\\mathrm{T}"),Er("\\thetasym","\\vartheta"),Er("\\weierp","\\wp"),Er("\\Zeta","\\mathrm{Z}"),Er("\\argmin","\\DOTSB\\operatorname*{arg\\,min}"),Er("\\argmax","\\DOTSB\\operatorname*{arg\\,max}"),Er("\\plim","\\DOTSB\\mathop{\\operatorname{plim}}\\limits"),Er("\\bra","\\mathinner{\\langle{#1}|}"),Er("\\ket","\\mathinner{|{#1}\\rangle}"),Er("\\braket","\\mathinner{\\langle{#1}\\rangle}"),Er("\\Bra","\\left\\langle#1\\right|"),Er("\\Ket","\\left|#1\\right\\rangle"),Er("\\angln","{\\angl n}"),Er("\\blue","\\textcolor{##6495ed}{#1}"),Er("\\orange","\\textcolor{##ffa500}{#1}"),Er("\\pink","\\textcolor{##ff00af}{#1}"),Er("\\red","\\textcolor{##df0030}{#1}"),Er("\\green","\\textcolor{##28ae7b}{#1}"),Er("\\gray","\\textcolor{gray}{#1}"),Er("\\purple","\\textcolor{##9d38bd}{#1}"),Er("\\blueA","\\textcolor{##ccfaff}{#1}"),Er("\\blueB","\\textcolor{##80f6ff}{#1}"),Er("\\blueC","\\textcolor{##63d9ea}{#1}"),Er("\\blueD","\\textcolor{##11accd}{#1}"),Er("\\blueE","\\textcolor{##0c7f99}{#1}"),Er("\\tealA","\\textcolor{##94fff5}{#1}"),Er("\\tealB","\\textcolor{##26edd5}{#1}"),Er("\\tealC","\\textcolor{##01d1c1}{#1}"),Er("\\tealD","\\textcolor{##01a995}{#1}"),Er("\\tealE","\\textcolor{##208170}{#1}"),Er("\\greenA","\\textcolor{##b6ffb0}{#1}"),Er("\\greenB","\\textcolor{##8af281}{#1}"),Er("\\greenC","\\textcolor{##74cf70}{#1}"),Er("\\greenD","\\textcolor{##1fab54}{#1}"),Er("\\greenE","\\textcolor{##0d923f}{#1}"),Er("\\goldA","\\textcolor{##ffd0a9}{#1}"),Er("\\goldB","\\textcolor{##ffbb71}{#1}"),Er("\\goldC","\\textcolor{##ff9c39}{#1}"),Er("\\goldD","\\textcolor{##e07d10}{#1}"),Er("\\goldE","\\textcolor{##a75a05}{#1}"),Er("\\redA","\\textcolor{##fca9a9}{#1}"),Er("\\redB","\\textcolor{##ff8482}{#1}"),Er("\\redC","\\textcolor{##f9685d}{#1}"),Er("\\redD","\\textcolor{##e84d39}{#1}"),Er("\\redE","\\textcolor{##bc2612}{#1}"),Er("\\maroonA","\\textcolor{##ffbde0}{#1}"),Er("\\maroonB","\\textcolor{##ff92c6}{#1}"),Er("\\maroonC","\\textcolor{##ed5fa6}{#1}"),Er("\\maroonD","\\textcolor{##ca337c}{#1}"),Er("\\maroonE","\\textcolor{##9e034e}{#1}"),Er("\\purpleA","\\textcolor{##ddd7ff}{#1}"),Er("\\purpleB","\\textcolor{##c6b9fc}{#1}"),Er("\\purpleC","\\textcolor{##aa87ff}{#1}"),Er("\\purpleD","\\textcolor{##7854ab}{#1}"),Er("\\purpleE","\\textcolor{##543b78}{#1}"),Er("\\mintA","\\textcolor{##f5f9e8}{#1}"),Er("\\mintB","\\textcolor{##edf2df}{#1}"),Er("\\mintC","\\textcolor{##e0e5cc}{#1}"),Er("\\grayA","\\textcolor{##f6f7f7}{#1}"),Er("\\grayB","\\textcolor{##f0f1f2}{#1}"),Er("\\grayC","\\textcolor{##e3e5e6}{#1}"),Er("\\grayD","\\textcolor{##d6d8da}{#1}"),Er("\\grayE","\\textcolor{##babec2}{#1}"),Er("\\grayF","\\textcolor{##888d93}{#1}"),Er("\\grayG","\\textcolor{##626569}{#1}"),Er("\\grayH","\\textcolor{##3b3e40}{#1}"),Er("\\grayI","\\textcolor{##21242c}{#1}"),Er("\\kaBlue","\\textcolor{##314453}{#1}"),Er("\\kaGreen","\\textcolor{##71B307}{#1}");var Vn={"^":!0,_:!0,"\\limits":!0,"\\nolimits":!0},Gn=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(Hn,t.macros),this.mode=r,this.stack=[]}var t=e.prototype;return t.feed=function(e){this.lexer=new Rn(e,this.settings)},t.switchMode=function(e){this.mode=e},t.beginGroup=function(){this.macros.beginGroup()},t.endGroup=function(){this.macros.endGroup()},t.endGroups=function(){this.macros.endGroups()},t.future=function(){return 0===this.stack.length&&this.pushToken(this.lexer.lex()),this.stack[this.stack.length-1]},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 Dr("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[s]:"}")+"'",a);if(e&&r)if((0===o||1===o&&"{"===e[s])&&a.text===e[s]){if(++s===e.length){t.splice(-s,s);break}}else s=0}while(0!==o||r);return"{"===i.text&&"}"===t[t.length-1].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[0],a=0;athis.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[s];if("#"===l.text){if(0===s)throw new n("Incomplete placeholder at end of macro body",l);if("#"===(l=i[--s]).text)i.splice(s+1,1);else{if(!/^[1-9]$/.test(l.text))throw new n("Not a valid argument number",l);var h;(h=i).splice.apply(h,[s,2].concat(o[+l.text-1]))}}}return this.pushTokens(i),i},t.expandAfterFuture=function(){return this.expandOnce(),this.future()},t.expandNextToken=function(){for(;;){var e=this.expandOnce();if(e instanceof Dr)return e.treatAsRelax&&(e.text="\\relax"),this.stack.pop()}throw new Error},t.expandMacro=function(e){return this.macros.has(e)?this.expandTokens([new Dr(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 Dr&&(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;if(1===e.length){var r=this.lexer.catcodes[e];if(null!=r&&13!==r)return}var n="function"==typeof t?t(this):t;if("string"==typeof n){var a=0;if(-1!==n.indexOf("#"))for(var i=n.replace(/##/g,"");-1!==i.indexOf("#"+(a+1));)++a;for(var o=new Rn(n,this.settings),s=[],l=o.lex();"EOF"!==l.text;)s.push(l),l=o.lex();return s.reverse(),{tokens:s,numArgs:a}}return n},t.isDefined=function(e){return this.macros.has(e)||Nn.hasOwnProperty(e)||ae.math.hasOwnProperty(e)||ae.text.hasOwnProperty(e)||Vn.hasOwnProperty(e)},t.isExpandable=function(e){var t=this.macros.get(e);return null!=t?"string"==typeof t||"function"==typeof t||!t.unexpandable:Nn.hasOwnProperty(e)&&!Nn[e].primitive},e}(),Un={"\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"},"\u0327":{text:"\\c"}},Yn={"\xe1":"a\u0301","\xe0":"a\u0300","\xe4":"a\u0308","\u01df":"a\u0308\u0304","\xe3":"a\u0303","\u0101":"a\u0304","\u0103":"a\u0306","\u1eaf":"a\u0306\u0301","\u1eb1":"a\u0306\u0300","\u1eb5":"a\u0306\u0303","\u01ce":"a\u030c","\xe2":"a\u0302","\u1ea5":"a\u0302\u0301","\u1ea7":"a\u0302\u0300","\u1eab":"a\u0302\u0303","\u0227":"a\u0307","\u01e1":"a\u0307\u0304","\xe5":"a\u030a","\u01fb":"a\u030a\u0301","\u1e03":"b\u0307","\u0107":"c\u0301","\u1e09":"c\u0327\u0301","\u010d":"c\u030c","\u0109":"c\u0302","\u010b":"c\u0307","\xe7":"c\u0327","\u010f":"d\u030c","\u1e0b":"d\u0307","\u1e11":"d\u0327","\xe9":"e\u0301","\xe8":"e\u0300","\xeb":"e\u0308","\u1ebd":"e\u0303","\u0113":"e\u0304","\u1e17":"e\u0304\u0301","\u1e15":"e\u0304\u0300","\u0115":"e\u0306","\u1e1d":"e\u0327\u0306","\u011b":"e\u030c","\xea":"e\u0302","\u1ebf":"e\u0302\u0301","\u1ec1":"e\u0302\u0300","\u1ec5":"e\u0302\u0303","\u0117":"e\u0307","\u0229":"e\u0327","\u1e1f":"f\u0307","\u01f5":"g\u0301","\u1e21":"g\u0304","\u011f":"g\u0306","\u01e7":"g\u030c","\u011d":"g\u0302","\u0121":"g\u0307","\u0123":"g\u0327","\u1e27":"h\u0308","\u021f":"h\u030c","\u0125":"h\u0302","\u1e23":"h\u0307","\u1e29":"h\u0327","\xed":"i\u0301","\xec":"i\u0300","\xef":"i\u0308","\u1e2f":"i\u0308\u0301","\u0129":"i\u0303","\u012b":"i\u0304","\u012d":"i\u0306","\u01d0":"i\u030c","\xee":"i\u0302","\u01f0":"j\u030c","\u0135":"j\u0302","\u1e31":"k\u0301","\u01e9":"k\u030c","\u0137":"k\u0327","\u013a":"l\u0301","\u013e":"l\u030c","\u013c":"l\u0327","\u1e3f":"m\u0301","\u1e41":"m\u0307","\u0144":"n\u0301","\u01f9":"n\u0300","\xf1":"n\u0303","\u0148":"n\u030c","\u1e45":"n\u0307","\u0146":"n\u0327","\xf3":"o\u0301","\xf2":"o\u0300","\xf6":"o\u0308","\u022b":"o\u0308\u0304","\xf5":"o\u0303","\u1e4d":"o\u0303\u0301","\u1e4f":"o\u0303\u0308","\u022d":"o\u0303\u0304","\u014d":"o\u0304","\u1e53":"o\u0304\u0301","\u1e51":"o\u0304\u0300","\u014f":"o\u0306","\u01d2":"o\u030c","\xf4":"o\u0302","\u1ed1":"o\u0302\u0301","\u1ed3":"o\u0302\u0300","\u1ed7":"o\u0302\u0303","\u022f":"o\u0307","\u0231":"o\u0307\u0304","\u0151":"o\u030b","\u1e55":"p\u0301","\u1e57":"p\u0307","\u0155":"r\u0301","\u0159":"r\u030c","\u1e59":"r\u0307","\u0157":"r\u0327","\u015b":"s\u0301","\u1e65":"s\u0301\u0307","\u0161":"s\u030c","\u1e67":"s\u030c\u0307","\u015d":"s\u0302","\u1e61":"s\u0307","\u015f":"s\u0327","\u1e97":"t\u0308","\u0165":"t\u030c","\u1e6b":"t\u0307","\u0163":"t\u0327","\xfa":"u\u0301","\xf9":"u\u0300","\xfc":"u\u0308","\u01d8":"u\u0308\u0301","\u01dc":"u\u0308\u0300","\u01d6":"u\u0308\u0304","\u01da":"u\u0308\u030c","\u0169":"u\u0303","\u1e79":"u\u0303\u0301","\u016b":"u\u0304","\u1e7b":"u\u0304\u0308","\u016d":"u\u0306","\u01d4":"u\u030c","\xfb":"u\u0302","\u016f":"u\u030a","\u0171":"u\u030b","\u1e7d":"v\u0303","\u1e83":"w\u0301","\u1e81":"w\u0300","\u1e85":"w\u0308","\u0175":"w\u0302","\u1e87":"w\u0307","\u1e98":"w\u030a","\u1e8d":"x\u0308","\u1e8b":"x\u0307","\xfd":"y\u0301","\u1ef3":"y\u0300","\xff":"y\u0308","\u1ef9":"y\u0303","\u0233":"y\u0304","\u0177":"y\u0302","\u1e8f":"y\u0307","\u1e99":"y\u030a","\u017a":"z\u0301","\u017e":"z\u030c","\u1e91":"z\u0302","\u017c":"z\u0307","\xc1":"A\u0301","\xc0":"A\u0300","\xc4":"A\u0308","\u01de":"A\u0308\u0304","\xc3":"A\u0303","\u0100":"A\u0304","\u0102":"A\u0306","\u1eae":"A\u0306\u0301","\u1eb0":"A\u0306\u0300","\u1eb4":"A\u0306\u0303","\u01cd":"A\u030c","\xc2":"A\u0302","\u1ea4":"A\u0302\u0301","\u1ea6":"A\u0302\u0300","\u1eaa":"A\u0302\u0303","\u0226":"A\u0307","\u01e0":"A\u0307\u0304","\xc5":"A\u030a","\u01fa":"A\u030a\u0301","\u1e02":"B\u0307","\u0106":"C\u0301","\u1e08":"C\u0327\u0301","\u010c":"C\u030c","\u0108":"C\u0302","\u010a":"C\u0307","\xc7":"C\u0327","\u010e":"D\u030c","\u1e0a":"D\u0307","\u1e10":"D\u0327","\xc9":"E\u0301","\xc8":"E\u0300","\xcb":"E\u0308","\u1ebc":"E\u0303","\u0112":"E\u0304","\u1e16":"E\u0304\u0301","\u1e14":"E\u0304\u0300","\u0114":"E\u0306","\u1e1c":"E\u0327\u0306","\u011a":"E\u030c","\xca":"E\u0302","\u1ebe":"E\u0302\u0301","\u1ec0":"E\u0302\u0300","\u1ec4":"E\u0302\u0303","\u0116":"E\u0307","\u0228":"E\u0327","\u1e1e":"F\u0307","\u01f4":"G\u0301","\u1e20":"G\u0304","\u011e":"G\u0306","\u01e6":"G\u030c","\u011c":"G\u0302","\u0120":"G\u0307","\u0122":"G\u0327","\u1e26":"H\u0308","\u021e":"H\u030c","\u0124":"H\u0302","\u1e22":"H\u0307","\u1e28":"H\u0327","\xcd":"I\u0301","\xcc":"I\u0300","\xcf":"I\u0308","\u1e2e":"I\u0308\u0301","\u0128":"I\u0303","\u012a":"I\u0304","\u012c":"I\u0306","\u01cf":"I\u030c","\xce":"I\u0302","\u0130":"I\u0307","\u0134":"J\u0302","\u1e30":"K\u0301","\u01e8":"K\u030c","\u0136":"K\u0327","\u0139":"L\u0301","\u013d":"L\u030c","\u013b":"L\u0327","\u1e3e":"M\u0301","\u1e40":"M\u0307","\u0143":"N\u0301","\u01f8":"N\u0300","\xd1":"N\u0303","\u0147":"N\u030c","\u1e44":"N\u0307","\u0145":"N\u0327","\xd3":"O\u0301","\xd2":"O\u0300","\xd6":"O\u0308","\u022a":"O\u0308\u0304","\xd5":"O\u0303","\u1e4c":"O\u0303\u0301","\u1e4e":"O\u0303\u0308","\u022c":"O\u0303\u0304","\u014c":"O\u0304","\u1e52":"O\u0304\u0301","\u1e50":"O\u0304\u0300","\u014e":"O\u0306","\u01d1":"O\u030c","\xd4":"O\u0302","\u1ed0":"O\u0302\u0301","\u1ed2":"O\u0302\u0300","\u1ed6":"O\u0302\u0303","\u022e":"O\u0307","\u0230":"O\u0307\u0304","\u0150":"O\u030b","\u1e54":"P\u0301","\u1e56":"P\u0307","\u0154":"R\u0301","\u0158":"R\u030c","\u1e58":"R\u0307","\u0156":"R\u0327","\u015a":"S\u0301","\u1e64":"S\u0301\u0307","\u0160":"S\u030c","\u1e66":"S\u030c\u0307","\u015c":"S\u0302","\u1e60":"S\u0307","\u015e":"S\u0327","\u0164":"T\u030c","\u1e6a":"T\u0307","\u0162":"T\u0327","\xda":"U\u0301","\xd9":"U\u0300","\xdc":"U\u0308","\u01d7":"U\u0308\u0301","\u01db":"U\u0308\u0300","\u01d5":"U\u0308\u0304","\u01d9":"U\u0308\u030c","\u0168":"U\u0303","\u1e78":"U\u0303\u0301","\u016a":"U\u0304","\u1e7a":"U\u0304\u0308","\u016c":"U\u0306","\u01d3":"U\u030c","\xdb":"U\u0302","\u016e":"U\u030a","\u0170":"U\u030b","\u1e7c":"V\u0303","\u1e82":"W\u0301","\u1e80":"W\u0300","\u1e84":"W\u0308","\u0174":"W\u0302","\u1e86":"W\u0307","\u1e8c":"X\u0308","\u1e8a":"X\u0307","\xdd":"Y\u0301","\u1ef2":"Y\u0300","\u0178":"Y\u0308","\u1ef8":"Y\u0303","\u0232":"Y\u0304","\u0176":"Y\u0302","\u1e8e":"Y\u0307","\u0179":"Z\u0301","\u017d":"Z\u030c","\u1e90":"Z\u0302","\u017b":"Z\u0307","\u03ac":"\u03b1\u0301","\u1f70":"\u03b1\u0300","\u1fb1":"\u03b1\u0304","\u1fb0":"\u03b1\u0306","\u03ad":"\u03b5\u0301","\u1f72":"\u03b5\u0300","\u03ae":"\u03b7\u0301","\u1f74":"\u03b7\u0300","\u03af":"\u03b9\u0301","\u1f76":"\u03b9\u0300","\u03ca":"\u03b9\u0308","\u0390":"\u03b9\u0308\u0301","\u1fd2":"\u03b9\u0308\u0300","\u1fd1":"\u03b9\u0304","\u1fd0":"\u03b9\u0306","\u03cc":"\u03bf\u0301","\u1f78":"\u03bf\u0300","\u03cd":"\u03c5\u0301","\u1f7a":"\u03c5\u0300","\u03cb":"\u03c5\u0308","\u03b0":"\u03c5\u0308\u0301","\u1fe2":"\u03c5\u0308\u0300","\u1fe1":"\u03c5\u0304","\u1fe0":"\u03c5\u0306","\u03ce":"\u03c9\u0301","\u1f7c":"\u03c9\u0300","\u038e":"\u03a5\u0301","\u1fea":"\u03a5\u0300","\u03ab":"\u03a5\u0308","\u1fe9":"\u03a5\u0304","\u1fe8":"\u03a5\u0306","\u038f":"\u03a9\u0301","\u1ffa":"\u03a9\u0300"},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 Gn(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");try{var e=this.parseExpression(!1);return this.expect("EOF"),this.settings.globalGroup||this.gullet.endGroup(),e}finally{this.gullet.endGroups()}},t.subparse=function(e){var t=this.nextToken;this.consume(),this.gullet.pushToken(new Dr("}")),this.gullet.pushTokens(e);var r=this.parseExpression(!1);return this.expect("}"),this.nextToken=t,r},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&&Nn[a.text]&&Nn[a.text].infix)break;var i=this.parseAtom(r);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=0&&this.settings.reportNonstrict("unicodeTextInMathMode",'Latin-1/Unicode text character "'+t[0]+'" used in math mode',e);var s,l=ae[this.mode][t].group,h=Lr.range(e);if(te.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&&(S(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:Lr.range(e),text:t}}if(this.consume(),o)for(var c=0;c