:root{color-scheme:light;--ground: #f0f2f2;--ink: #101619;--ink-2: #59636a;--field: #e4e8e9;--rule: #cfd6d7;--seq-lo: #00224e;--seq-mid: #767678;--seq-hi: #fee838;--sim-bg: #e7eaeb;--sim-contour: #7d878c;--sim-reverse: 0;--measure: 35rem;--rail: 11rem;--gutter: 2.75rem;--pad: clamp(1.25rem, 4vw, 2.5rem);--step--1: .8125rem;--step-0: 1.0625rem;--step-1: 1.25rem;--step-2: clamp(1.5rem, 1.2rem + 1.1vw, 1.875rem);--step-3: clamp(2rem, 1.5rem + 2.2vw, 3rem);--step-4: clamp(2.5rem, 1.1rem + 5vw, 4.5rem)}@media(prefers-color-scheme:dark){:root{color-scheme:dark;--ground: #1a1f22;--ink: #ede8e2;--ink-2: #9da5a8;--field: #12171a;--rule: #2a3134;--sim-bg: #161c1f;--sim-contour: #5c6669;--sim-reverse: 1}}*,*:before,*:after{box-sizing:border-box}html{-webkit-text-size-adjust:100%;scrollbar-gutter:stable}body{margin:0;background:var(--ground);color:var(--ink);font-family:var(--font-body),Georgia,serif;font-size:var(--step-0);line-height:1.62;font-feature-settings:"kern" 1,"liga" 1,"onum" 1;text-rendering:optimizeLegibility;-webkit-font-smoothing:antialiased}h1,h2,h3{font-family:var(--font-display),"Helvetica Neue",Arial,sans-serif;font-variation-settings:"wdth" 112;font-weight:600;letter-spacing:-.005em;line-height:1.08;text-wrap:balance;margin:0}p{margin:0 0 1.15em}p:last-child{margin-bottom:0}a{color:inherit;text-decoration:underline;text-decoration-thickness:1px;text-underline-offset:.16em;text-decoration-color:color-mix(in srgb,currentColor 40%,transparent);transition:text-decoration-thickness .12s ease,text-decoration-color .12s ease}a:hover,a:focus-visible{text-decoration-thickness:2px;text-decoration-color:currentColor}a:focus-visible{outline:2px solid var(--ink);outline-offset:3px;border-radius:1px}em,i,cite,dfn,var,blockquote em{font-family:var(--font-body-italic),Georgia,serif;font-style:italic}::selection{background:var(--ink);color:var(--ground)}.visually-hidden{position:absolute;width:1px;height:1px;padding:0;margin:-1px;overflow:hidden;clip-path:inset(50%);white-space:nowrap;border:0}.skip-link{position:absolute;left:var(--pad);top:-4rem;z-index:10;background:var(--ground);color:var(--ink);padding:.5rem .85rem;border:1px solid var(--ink);font-family:var(--font-mono),monospace;font-size:var(--step--1);text-decoration:none;transition:top .12s ease}.skip-link:focus{top:.75rem}.shell{max-width:calc(var(--rail) + var(--gutter) + var(--measure) + 2 * var(--pad));margin-inline:auto;padding-inline:var(--pad)}.row{display:grid;grid-template-columns:var(--rail) minmax(0,var(--measure));column-gap:var(--gutter);align-items:start}.row>.rail{font-family:var(--font-mono),monospace;font-size:var(--step--1);line-height:1.5;color:var(--ink-2);font-variant-numeric:tabular-nums;padding-top:.34em;overflow-wrap:anywhere}.rail dt{font-weight:500;color:var(--ink-2)}.rail dd{margin:0 0 .55em}.rail dl{margin:0}.rail-label{text-transform:uppercase;letter-spacing:.09em;font-weight:500}.rail-rule{border:0;border-top:1px solid var(--rule);margin:.9rem 0;width:2.5rem}@media(max-width:900px){.shell{max-width:calc(var(--measure) + 2 * var(--pad))}.row{grid-template-columns:minmax(0,1fr);row-gap:.5rem}.row>.rail{padding-top:0;margin-bottom:.35rem}.rail dl{display:flex;flex-wrap:wrap;column-gap:1.1rem}.rail dd{margin-bottom:.2em}}.masthead{padding-block:clamp(1.75rem,4vw,2.75rem) 0}.name{font-family:var(--font-display),"Helvetica Neue",Arial,sans-serif;font-weight:600;line-height:1.05;text-wrap:balance;font-size:var(--step-4);font-variation-settings:"wdth" 120;letter-spacing:-.02em;margin:0}.name a,.name a:hover{text-decoration:none}.tagline{font-family:var(--font-mono),monospace;font-size:var(--step--1);color:var(--ink-2);letter-spacing:.02em;margin:.7rem 0 0}.nav{display:flex;flex-wrap:wrap;gap:0 1.5rem;font-family:var(--font-mono),monospace;font-size:var(--step--1);letter-spacing:.04em;margin-top:1.15rem}.nav a{text-decoration-color:transparent}.nav a[aria-current=page]{text-decoration-color:currentColor;text-decoration-thickness:2px}.section{padding-block:clamp(2.25rem,5vw,3.75rem)}.section+.section{padding-top:0}.section-title{font-size:var(--step-2);margin-bottom:1.1rem}.page-title{font-size:var(--step-3);margin-bottom:.6rem}.lede{font-size:var(--step-1);line-height:1.55}.entry+.entry{margin-top:2.75rem}.entry-title{font-size:var(--step-1);font-family:var(--font-body),Georgia,serif;font-weight:600;font-variation-settings:normal;line-height:1.32;margin-bottom:.15rem}.entry-meta{font-family:var(--font-mono),monospace;font-size:var(--step--1);color:var(--ink-2);margin-bottom:.7rem}.links{font-family:var(--font-mono),monospace;font-size:var(--step--1);display:grid;grid-template-columns:7.5rem minmax(0,1fr);gap:.35rem 1rem}.links dt{color:var(--ink-2)}.links dd{margin:0}.footer{padding-block:3rem 4rem;color:var(--ink-2);font-size:var(--step--1)}.footer .fullname{color:var(--ink)}.footer .colophon{font-family:var(--font-mono),monospace;margin-top:1rem}.figure{margin:2rem 0}.figure-frame{position:relative;background:var(--sim-bg);border:1px solid var(--rule);overflow:hidden;line-height:0}.figure-frame>canvas,.figure-frame>picture>img,.figure-frame>img{display:block;width:100%;height:100%;margin:0}.figure-frame>canvas{position:absolute;inset:0}.figure-frame>canvas[hidden]{display:none}.figure-caption{font-family:var(--font-mono),monospace;font-size:var(--step--1);line-height:1.5;color:var(--ink-2);margin-top:.6rem}.figure-caption b{color:var(--ink);font-weight:500}.readout{position:absolute;bottom:0;left:0;background:var(--ground);color:var(--ink-2);font-family:var(--font-mono),monospace;font-size:var(--step--1);line-height:1.45;letter-spacing:.01em;font-variant-numeric:tabular-nums;padding:.45rem .75rem .4rem;border-top:1px solid var(--rule);border-right:1px solid var(--rule);display:flex;gap:1rem;flex-wrap:wrap;max-width:calc(100% - 1px)}.readout b{color:var(--ink);font-weight:500}.legend{display:flex;align-items:center;gap:.5rem;font-family:var(--font-mono),monospace;font-size:var(--step--1);color:var(--ink-2);margin-top:.6rem}.legend-ramp{height:.55rem;width:7rem;border:1px solid var(--rule);background:linear-gradient(to right,var(--seq-lo),var(--seq-mid),var(--seq-hi))}@media(prefers-color-scheme:dark){.legend-ramp{background:linear-gradient(to right,var(--seq-hi),var(--seq-mid),var(--seq-lo))}}.hero{width:100%;margin-block:clamp(1rem,2.5vw,1.75rem) 0;position:relative;border-block:1px solid var(--rule);background:var(--sim-bg);overflow:hidden;line-height:0;height:clamp(280px,55vh,620px)}.hero>canvas,.hero>picture>img,.hero>img{display:block;position:absolute;inset:0;width:100%;height:100%;object-fit:cover}.hero>canvas[hidden]{display:none}.prose h2{font-size:var(--step-1);font-family:var(--font-body),Georgia,serif;font-weight:600;font-variation-settings:normal;margin:2.25rem 0 .6rem}.prose h3{font-size:var(--step-0);font-family:var(--font-body-italic),Georgia,serif;font-weight:600;font-variation-settings:normal;font-style:italic;margin:1.6rem 0 .4rem}.prose ul,.prose ol{padding-left:1.2rem;margin:0 0 1.15em}.prose li{margin-bottom:.35em}.prose blockquote{margin:1.4rem 0;padding-left:1.1rem;border-left:2px solid var(--rule);color:var(--ink-2)}.prose hr{border:0;border-top:1px solid var(--rule);margin:2.5rem 0}.prose code,.prose kbd{font-family:var(--font-mono),monospace;font-size:.92em;background:var(--field);padding:.1em .3em}.prose pre{background:var(--field);border:1px solid var(--rule);padding:.9rem 1rem;overflow-x:auto;font-size:var(--step--1);line-height:1.5}.prose pre code{background:none;padding:0;font-size:inherit}.env{margin:1.4rem 0;padding-left:1.1rem;border-left:2px solid var(--rule)}.env-name{font-family:var(--font-mono),monospace;font-size:var(--step--1);text-transform:uppercase;letter-spacing:.09em;color:var(--ink-2);display:block;margin-bottom:.2rem}@font-face{font-family:KaTeX_Main;font-display:swap;src:local("KaTeX_Main")}.katex{font-size:1.06em}.katex-display{margin:1.35rem 0;overflow-x:auto;overflow-y:hidden;padding-block:.2rem}.katex-display>.katex{font-size:1.1em}@media(prefers-reduced-motion:reduce){*,*:before,*:after{animation-duration:.001ms!important;transition-duration:.001ms!important}}@media print{.hero,.figure-frame,.nav,.skip-link{display:none}body{background:#fff;color:#000;font-size:11pt}.row{grid-template-columns:1fr}}@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_AMS-Regular.BQhdFMY1.woff2) format("woff2"),url(/_astro/KaTeX_AMS-Regular.DMm9YOAa.woff) format("woff"),url(/_astro/KaTeX_AMS-Regular.DRggAlZN.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(/_astro/KaTeX_Caligraphic-Bold.Dq_IR9rO.woff2) format("woff2"),url(/_astro/KaTeX_Caligraphic-Bold.BEiXGLvX.woff) format("woff"),url(/_astro/KaTeX_Caligraphic-Bold.ATXxdsX0.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Caligraphic-Regular.Di6jR-x-.woff2) format("woff2"),url(/_astro/KaTeX_Caligraphic-Regular.CTRA-rTL.woff) format("woff"),url(/_astro/KaTeX_Caligraphic-Regular.wX97UBjC.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(/_astro/KaTeX_Fraktur-Bold.CL6g_b3V.woff2) format("woff2"),url(/_astro/KaTeX_Fraktur-Bold.BsDP51OF.woff) format("woff"),url(/_astro/KaTeX_Fraktur-Bold.BdnERNNW.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Fraktur-Regular.CTYiF6lA.woff2) format("woff2"),url(/_astro/KaTeX_Fraktur-Regular.Dxdc4cR9.woff) format("woff"),url(/_astro/KaTeX_Fraktur-Regular.CB_wures.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url(/_astro/KaTeX_Main-Bold.Cx986IdX.woff2) format("woff2"),url(/_astro/KaTeX_Main-Bold.Jm3AIy58.woff) format("woff"),url(/_astro/KaTeX_Main-Bold.waoOVXN0.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(/_astro/KaTeX_Main-BoldItalic.DxDJ3AOS.woff2) format("woff2"),url(/_astro/KaTeX_Main-BoldItalic.SpSLRI95.woff) format("woff"),url(/_astro/KaTeX_Main-BoldItalic.DzxPMmG6.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(/_astro/KaTeX_Main-Italic.NWA7e6Wa.woff2) format("woff2"),url(/_astro/KaTeX_Main-Italic.BMLOBm91.woff) format("woff"),url(/_astro/KaTeX_Main-Italic.3WenGoN9.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Main-Regular.B22Nviop.woff2) format("woff2"),url(/_astro/KaTeX_Main-Regular.Dr94JaBh.woff) format("woff"),url(/_astro/KaTeX_Main-Regular.ypZvNtVU.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(/_astro/KaTeX_Math-BoldItalic.CZnvNsCZ.woff2) format("woff2"),url(/_astro/KaTeX_Math-BoldItalic.iY-2wyZ7.woff) format("woff"),url(/_astro/KaTeX_Math-BoldItalic.B3XSjfu4.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(/_astro/KaTeX_Math-Italic.t53AETM-.woff2) format("woff2"),url(/_astro/KaTeX_Math-Italic.DA0__PXp.woff) format("woff"),url(/_astro/KaTeX_Math-Italic.flOr_0UB.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:700;src:url(/_astro/KaTeX_SansSerif-Bold.D1sUS0GD.woff2) format("woff2"),url(/_astro/KaTeX_SansSerif-Bold.DbIhKOiC.woff) format("woff"),url(/_astro/KaTeX_SansSerif-Bold.CFMepnvq.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:italic;font-weight:400;src:url(/_astro/KaTeX_SansSerif-Italic.C3H0VqGB.woff2) format("woff2"),url(/_astro/KaTeX_SansSerif-Italic.DN2j7dab.woff) format("woff"),url(/_astro/KaTeX_SansSerif-Italic.YYjJ1zSn.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_SansSerif-Regular.DDBCnlJ7.woff2) format("woff2"),url(/_astro/KaTeX_SansSerif-Regular.CS6fqUqJ.woff) format("woff"),url(/_astro/KaTeX_SansSerif-Regular.BNo7hRIc.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Script-Regular.D3wIWfF6.woff2) format("woff2"),url(/_astro/KaTeX_Script-Regular.D5yQViql.woff) format("woff"),url(/_astro/KaTeX_Script-Regular.C5JkGWo-.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Size1-Regular.mCD8mA8B.woff2) format("woff2"),url(/_astro/KaTeX_Size1-Regular.C195tn64.woff) format("woff"),url(/_astro/KaTeX_Size1-Regular.Dbsnue_I.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Size2-Regular.Dy4dx90m.woff2) format("woff2"),url(/_astro/KaTeX_Size2-Regular.oD1tc_U0.woff) format("woff"),url(/_astro/KaTeX_Size2-Regular.B7gKUWhC.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Size3-Regular.gV2CO0n9.woff2) format("woff2"),url(/_astro/KaTeX_Size3-Regular.CTq5MqoE.woff) format("woff"),url(/_astro/KaTeX_Size3-Regular.DgpXs0kz.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Size4-Regular.Dl5lxZxV.woff2) format("woff2"),url(/_astro/KaTeX_Size4-Regular.BF-4gkZK.woff) format("woff"),url(/_astro/KaTeX_Size4-Regular.DWFBv043.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Typewriter-Regular.CO6r4hn1.woff2) format("woff2"),url(/_astro/KaTeX_Typewriter-Regular.C0xS9mPB.woff) format("woff"),url(/_astro/KaTeX_Typewriter-Regular.D3Ib7_Hf.ttf) format("truetype")}.katex{font: 1.21em KaTeX_Main,Times New Roman,serif;line-height:1.2;position:relative;text-indent:0;text-rendering:auto}.katex *{-ms-high-contrast-adjust:none!important;border-color:currentColor}.katex .katex-version:after{content:"0.16.47"}.katex .katex-mathml{border:0;-webkit-clip-path:inset(50%);clip-path:inset(50%);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 .mathboldfrak,.katex .textboldfrak{font-family:KaTeX_Fraktur;font-weight:700}.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 .mathsfit,.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 .smash{display:inline;line-height:0}.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:.2777777778em;margin-right:-.5555555556em}.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:.8333333333em}.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:1.1666666667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .sizing.reset-size2.size4{font-size:1.3333333333em}.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:1.6666666667em}.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:3.4566666667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .sizing.reset-size2.size11{font-size:4.1466666667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .sizing.reset-size3.size1{font-size:.7142857143em}.katex .fontsize-ensurer.reset-size3.size2,.katex .sizing.reset-size3.size2{font-size:.8571428571em}.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:1.1428571429em}.katex .fontsize-ensurer.reset-size3.size5,.katex .sizing.reset-size3.size5{font-size:1.2857142857em}.katex .fontsize-ensurer.reset-size3.size6,.katex .sizing.reset-size3.size6{font-size:1.4285714286em}.katex .fontsize-ensurer.reset-size3.size7,.katex .sizing.reset-size3.size7{font-size:1.7142857143em}.katex .fontsize-ensurer.reset-size3.size8,.katex .sizing.reset-size3.size8{font-size:2.0571428571em}.katex .fontsize-ensurer.reset-size3.size9,.katex .sizing.reset-size3.size9{font-size:2.4685714286em}.katex .fontsize-ensurer.reset-size3.size10,.katex .sizing.reset-size3.size10{font-size:2.9628571429em}.katex .fontsize-ensurer.reset-size3.size11,.katex .sizing.reset-size3.size11{font-size:3.5542857143em}.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:.5555555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .sizing.reset-size5.size2{font-size:.6666666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .sizing.reset-size5.size3{font-size:.7777777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .sizing.reset-size5.size4{font-size:.8888888889em}.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:1.1111111111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .sizing.reset-size5.size7{font-size:1.3333333333em}.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:2.3044444444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .sizing.reset-size5.size11{font-size:2.7644444444em}.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:.4166666667em}.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:.5833333333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .sizing.reset-size7.size4{font-size:.6666666667em}.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:.8333333333em}.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:1.7283333333em}.katex .fontsize-ensurer.reset-size7.size11,.katex .sizing.reset-size7.size11{font-size:2.0733333333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .sizing.reset-size8.size1{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .sizing.reset-size8.size2{font-size:.4166666667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .sizing.reset-size8.size3{font-size:.4861111111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .sizing.reset-size8.size4{font-size:.5555555556em}.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:.6944444444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .sizing.reset-size8.size7{font-size:.8333333333em}.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:1.4402777778em}.katex .fontsize-ensurer.reset-size8.size11,.katex .sizing.reset-size8.size11{font-size:1.7277777778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .sizing.reset-size9.size1{font-size:.2893518519em}.katex .fontsize-ensurer.reset-size9.size2,.katex .sizing.reset-size9.size2{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .sizing.reset-size9.size3{font-size:.4050925926em}.katex .fontsize-ensurer.reset-size9.size4,.katex .sizing.reset-size9.size4{font-size:.462962963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .sizing.reset-size9.size5{font-size:.5208333333em}.katex .fontsize-ensurer.reset-size9.size6,.katex .sizing.reset-size9.size6{font-size:.5787037037em}.katex .fontsize-ensurer.reset-size9.size7,.katex .sizing.reset-size9.size7{font-size:.6944444444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .sizing.reset-size9.size8{font-size:.8333333333em}.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:1.2002314815em}.katex .fontsize-ensurer.reset-size9.size11,.katex .sizing.reset-size9.size11{font-size:1.4398148148em}.katex .fontsize-ensurer.reset-size10.size1,.katex .sizing.reset-size10.size1{font-size:.2410800386em}.katex .fontsize-ensurer.reset-size10.size2,.katex .sizing.reset-size10.size2{font-size:.2892960463em}.katex .fontsize-ensurer.reset-size10.size3,.katex .sizing.reset-size10.size3{font-size:.337512054em}.katex .fontsize-ensurer.reset-size10.size4,.katex .sizing.reset-size10.size4{font-size:.3857280617em}.katex .fontsize-ensurer.reset-size10.size5,.katex .sizing.reset-size10.size5{font-size:.4339440694em}.katex .fontsize-ensurer.reset-size10.size6,.katex .sizing.reset-size10.size6{font-size:.4821600771em}.katex .fontsize-ensurer.reset-size10.size7,.katex .sizing.reset-size10.size7{font-size:.5785920926em}.katex .fontsize-ensurer.reset-size10.size8,.katex .sizing.reset-size10.size8{font-size:.6943105111em}.katex .fontsize-ensurer.reset-size10.size9,.katex .sizing.reset-size10.size9{font-size:.8331726133em}.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:1.1996142719em}.katex .fontsize-ensurer.reset-size11.size1,.katex .sizing.reset-size11.size1{font-size:.2009646302em}.katex .fontsize-ensurer.reset-size11.size2,.katex .sizing.reset-size11.size2{font-size:.2411575563em}.katex .fontsize-ensurer.reset-size11.size3,.katex .sizing.reset-size11.size3{font-size:.2813504823em}.katex .fontsize-ensurer.reset-size11.size4,.katex .sizing.reset-size11.size4{font-size:.3215434084em}.katex .fontsize-ensurer.reset-size11.size5,.katex .sizing.reset-size11.size5{font-size:.3617363344em}.katex .fontsize-ensurer.reset-size11.size6,.katex .sizing.reset-size11.size6{font-size:.4019292605em}.katex .fontsize-ensurer.reset-size11.size7,.katex .sizing.reset-size11.size7{font-size:.4823151125em}.katex .fontsize-ensurer.reset-size11.size8,.katex .sizing.reset-size11.size8{font-size:.578778135em}.katex .fontsize-ensurer.reset-size11.size9,.katex .sizing.reset-size11.size9{font-size:.6945337621em}.katex .fontsize-ensurer.reset-size11.size10,.katex .sizing.reset-size11.size10{font-size:.8336012862em}.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;display:block;height:inherit;position:absolute;width:100%}.katex svg path{stroke:none}.katex svg{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}.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}
