:root{--maxWidth-none:"none";--maxWidth-xs:20rem;--maxWidth-sm:24rem;--maxWidth-md:28rem;--maxWidth-lg:32rem;--maxWidth-xl:36rem;--maxWidth-2xl:42rem;--maxWidth-3xl:48rem;--maxWidth-4xl:56rem;--maxWidth-full:"100%";--maxWidth-wrapper:var(--maxWidth-2xl);--spacing-px:"1px";--spacing-0:0;--spacing-1:.25rem;--spacing-2:.5rem;--spacing-3:.75rem;--spacing-4:1rem;--spacing-5:1.25rem;--spacing-6:1.5rem;--spacing-8:2rem;--spacing-10:2.5rem;--spacing-12:3rem;--spacing-16:4rem;--spacing-20:5rem;--spacing-24:6rem;--spacing-32:8rem;--fontFamily-sans:Montserrat, system-ui, -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji";--fontFamily-serif:"Merriweather", "Georgia", Cambria, "Times New Roman", Times, serif;--font-body:var(--fontFamily-serif);--font-heading:var(--fontFamily-sans);--fontWeight-normal:400;--fontWeight-medium:500;--fontWeight-semibold:600;--fontWeight-bold:700;--fontWeight-extrabold:800;--fontWeight-black:900;--fontSize-root:16px;--lineHeight-none:1;--lineHeight-tight:1.1;--lineHeight-normal:1.5;--lineHeight-relaxed:1.625;--fontSize-0:.833rem;--fontSize-1:1rem;--fontSize-2:1.2rem;--fontSize-3:1.44rem;--fontSize-4:1.728rem;--fontSize-5:2.074rem;--fontSize-6:2.488rem;--fontSize-7:2.986rem;--color-primary:#ffa466;--color-text:#d1cac0;--color-text-light:#b0a696;--color-heading:#e5dfd3;--color-heading-black:white;--color-accent:#2e231a;--bg:#101010}*,:after,:before{box-sizing:border-box}html{line-height:var(--lineHeight-normal);font-size:var(--fontSize-root);-webkit-font-smoothing:antialiased;-moz-osx-font-smoothing:grayscale}body{font-family:var(--font-body);font-size:var(--fontSize-1);color:var(--color-text);background-color:var(--bg);-webkit-font-smoothing:antialiased}footer{padding:var(--spacing-6) var(--spacing-0)}hr{background:var(--color-accent);border:0;height:1px}h1,h2,h3,h4,h5,h6{font-family:var(--font-heading);margin-top:var(--spacing-12);margin-bottom:var(--spacing-6);line-height:var(--lineHeight-tight);letter-spacing:-.025em}h2,h3,h4,h5,h6{font-weight:var(--fontWeight-bold);color:var(--color-heading)}h1{font-weight:var(--fontWeight-black);font-size:var(--fontSize-6);color:var(--color-heading-black)}h2{font-size:var(--fontSize-5)}h3{font-size:var(--fontSize-4)}h4{font-size:var(--fontSize-3)}h5{font-size:var(--fontSize-2)}h6{font-size:var(--fontSize-1)}h1>a,h2>a,h3>a,h4>a,h5>a,h6>a{color:inherit;text-decoration:none}p{line-height:var(--lineHeight-relaxed);--baseline-multiplier:.179;--x-height-multiplier:.35;margin:var(--spacing-0) var(--spacing-0) var(--spacing-8) var(--spacing-0);padding:var(--spacing-0);white-space:pre-wrap}ul,ol{margin-left:var(--spacing-0);margin-right:var(--spacing-0);padding:var(--spacing-0);margin-bottom:var(--spacing-8);list-style-image:none;list-style-position:outside}ul li,ol li{padding-left:var(--spacing-0);margin-bottom:calc(var(--spacing-8) / 2)}li>p{margin-bottom:calc(var(--spacing-8) / 2)}li :last-child{margin-bottom:var(--spacing-0)}li>ul{margin-left:var(--spacing-8);margin-top:calc(var(--spacing-8) / 2)}blockquote{color:var(--color-text-light);margin-left:calc(-1 * var(--spacing-6));margin-right:var(--spacing-8);padding:var(--spacing-0) var(--spacing-0) var(--spacing-0) var(--spacing-6);border-left:var(--spacing-1) solid var(--color-primary);font-size:var(--fontSize-2);margin-bottom:var(--spacing-8);font-style:italic}blockquote>:last-child{margin-bottom:var(--spacing-0)}blockquote>ul,blockquote>ol{list-style-position:inside}table{width:100%;margin-bottom:var(--spacing-8);border-collapse:collapse;border-spacing:.25rem}table thead tr th{border-bottom:1px solid var(--color-accent)}a{color:var(--color-primary);word-wrap:break-word}a:hover,a:focus{text-decoration:none}.global-wrapper{margin:var(--spacing-0) auto;max-width:var(--maxWidth-4xl);padding:var(--spacing-10) var(--spacing-5)}.global-wrapper[data-is-root-path=true]{max-width:var(--maxWidth-2xl)}.global-wrapper[data-is-root-path=true] .bio{margin-bottom:var(--spacing-20)}.global-header{margin-bottom:var(--spacing-12)}.main-heading{font-size:var(--fontSize-7);margin:0}.post-list-item{margin-bottom:var(--spacing-8);margin-top:var(--spacing-8)}.post-list-item p{margin-bottom:var(--spacing-0)}.post-list-item h2{font-size:var(--fontSize-4);color:var(--color-primary);margin-bottom:var(--spacing-2);margin-top:var(--spacing-0)}.post-list-item header{margin-bottom:var(--spacing-4)}.header-link-home{font-weight:var(--fontWeight-bold);font-family:var(--font-heading);font-size:var(--fontSize-2);text-decoration:none}.bio{margin-bottom:var(--spacing-16);display:flex}.bio p{margin-bottom:var(--spacing-0)}.bio-avatar{margin-top:var(--spacing-4);margin-right:var(--spacing-4);margin-bottom:var(--spacing-0);border-radius:100%;min-width:50px}.blog-post header h1{margin:var(--spacing-0) var(--spacing-0) var(--spacing-4) var(--spacing-0)}.blog-post header p{font-size:var(--fontSize-2);font-family:var(--font-heading)}.blog-post-nav ul{margin:var(--spacing-0)}.gatsby-highlight{margin-bottom:var(--spacing-8)}@media (max-width:42rem){blockquote{padding:var(--spacing-0) var(--spacing-0) var(--spacing-0) var(--spacing-4);margin-left:var(--spacing-0)}ul,ol{list-style-position:inside}}.gatsby-code-title{color:#c6c8d1;font-width:600;background:#2a3158;border-radius:8px 8px 0 0;margin-bottom:-2.7em;padding:.7rem 1.05rem;font-family:SFMono-Regular,Menlo,Monaco,Consolas,Liberation Mono,Courier New,monospace;font-size:.8em;line-height:.2;display:table}.gatsby-highlight-code-line{background-color:#272c42;border-left:.25em solid #6b7089;margin-left:-1em;margin-right:-1em;padding-left:.75em;padding-right:1em;display:block}.gatsby-highlight{background-color:#161821;border-radius:.3em;max-height:600px;margin:2em 0;padding:1em;overflow:auto}.gatsby-highlight pre[class*=language-]{overflow:initial;float:left;background-color:#0000;min-width:100%;margin:0;padding:0}.gatsby-highlight pre[class*=language-].line-numbers{overflow:initial;padding:0 0 0 2.8em}.command-line-prompt{float:left;letter-spacing:-1px;pointer-events:none;-webkit-user-select:none;user-select:none;border-right:0 solid #999;margin-right:1em;font-size:100%;display:block}.command-line-prompt>span:before{color:#999;content:" ";padding-right:0;display:block}.command-line-prompt>span[data-user]:before{content:"$"}.command-line-prompt>span[data-user=root]:before{content:"#"}.command-line-prompt>span[data-prompt]:before{content:attr(data-prompt)}:not(pre)>code[class*=language-]{word-wrap:break-word}@media (min-width:576px){.code-block{max-height:600px}}
html{-webkit-text-size-adjust:100%;line-height:1.15}body{margin:0}main{display:block}h1{margin:.67em 0;font-size:2em}hr{box-sizing:content-box;height:0;overflow:visible}pre{font-family:monospace;font-size:1em}a{background-color:#0000}abbr[title]{border-bottom:none;-webkit-text-decoration:underline dotted;text-decoration:underline dotted}b,strong{font-weight:bolder}code,kbd,samp{font-family:monospace;font-size:1em}small{font-size:80%}sub,sup{vertical-align:baseline;font-size:75%;line-height:0;position:relative}sub{bottom:-.25em}sup{top:-.5em}img{border-style:none}button,input,optgroup,select,textarea{margin:0;font-family:inherit;font-size:100%;line-height:1.15}button,input{overflow:visible}button,select{text-transform:none}button,[type=button],[type=reset],[type=submit]{-webkit-appearance:button}button::-moz-focus-inner{border-style:none;padding:0}[type=button]::-moz-focus-inner{border-style:none;padding:0}[type=reset]::-moz-focus-inner{border-style:none;padding:0}[type=submit]::-moz-focus-inner{border-style:none;padding:0}button:-moz-focusring{outline:1px dotted buttontext}[type=button]:-moz-focusring{outline:1px dotted buttontext}[type=reset]:-moz-focusring{outline:1px dotted buttontext}[type=submit]:-moz-focusring{outline:1px dotted buttontext}fieldset{padding:.35em .75em .625em}legend{box-sizing:border-box;color:inherit;white-space:normal;max-width:100%;padding:0;display:table}progress{vertical-align:baseline}textarea{overflow:auto}[type=checkbox],[type=radio]{box-sizing:border-box;padding:0}[type=number]::-webkit-inner-spin-button{height:auto}[type=number]::-webkit-outer-spin-button{height:auto}[type=search]{-webkit-appearance:textfield;outline-offset:-2px}[type=search]::-webkit-search-decoration{-webkit-appearance:none}::-webkit-file-upload-button{-webkit-appearance:button;font:inherit}details{display:block}summary{display:list-item}template,[hidden]{display:none}
.toc{overflow-y:auto}.toc>.toc-list{position:relative;overflow:hidden}.toc>.toc-list li{list-style:none}.toc-list{margin:0;padding-top:.5rem;padding-left:1rem}a.toc-link{color:#d1cac0;height:100%;text-decoration:none}.is-collapsible{max-height:1000px;transition:all .3s ease-in-out;overflow:hidden}.is-position-fixed{top:0;position:fixed!important}.is-active-link{font-weight:700;color:#ffa466!important}.toc-link:before{content:" ";height:inherit;background-color:#eee;width:2px;margin-top:-1px;display:inline-block;position:absolute;left:0}.is-active-link:before{background-color:#ffa466}
@font-face{font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(../media/KaTeX_AMS-Regular.3dqqgop8d9q74.woff2)format("woff2"),url(../media/KaTeX_AMS-Regular.3s3485bbs_y9t.woff)format("woff"),url(../media/KaTeX_AMS-Regular.06540o8ttgt08.ttf)format("truetype")}@font-face{font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(../media/KaTeX_Caligraphic-Bold.0x398dszol8ix.woff2)format("woff2"),url(../media/KaTeX_Caligraphic-Bold.0i0ys3pk95qm_.woff)format("woff"),url(../media/KaTeX_Caligraphic-Bold.071y7fj7dknco.ttf)format("truetype")}@font-face{font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(../media/KaTeX_Caligraphic-Regular.3ittfn7d21b9w.woff2)format("woff2"),url(../media/KaTeX_Caligraphic-Regular.3-a7ahrnv-1p0.woff)format("woff"),url(../media/KaTeX_Caligraphic-Regular.2a29kziuqmcwj.ttf)format("truetype")}@font-face{font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(../media/KaTeX_Fraktur-Bold.3rq09ohrtely_.woff2)format("woff2"),url(../media/KaTeX_Fraktur-Bold.1m6-2-v71aefh.woff)format("woff"),url(../media/KaTeX_Fraktur-Bold.2c272neyw5p5h.ttf)format("truetype")}@font-face{font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(../media/KaTeX_Fraktur-Regular.1jvgec053-2og.woff2)format("woff2"),url(../media/KaTeX_Fraktur-Regular.1pa447q_ni5m2.woff)format("woff"),url(../media/KaTeX_Fraktur-Regular.0_16ta522mcvb.ttf)format("truetype")}@font-face{font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url(../media/KaTeX_Main-Bold.22wkahef0u3fd.woff2)format("woff2"),url(../media/KaTeX_Main-Bold.1fyzqvxw_mkks.woff)format("woff"),url(../media/KaTeX_Main-Bold.3q46h05c4j0cw.ttf)format("truetype")}@font-face{font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(../media/KaTeX_Main-BoldItalic.40drhxm0mwrzz.woff2)format("woff2"),url(../media/KaTeX_Main-BoldItalic.0g_mm5w89az4z.woff)format("woff"),url(../media/KaTeX_Main-BoldItalic.2r19jqj9qb5v7.ttf)format("truetype")}@font-face{font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(../media/KaTeX_Main-Italic.1ck6crdmp78cu.woff2)format("woff2"),url(../media/KaTeX_Main-Italic.3h-lyz6-tj-5j.woff)format("woff"),url(../media/KaTeX_Main-Italic.07vrczmwpvimc.ttf)format("truetype")}@font-face{font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(../media/KaTeX_Main-Regular.29zz7337tzymc.woff2)format("woff2"),url(../media/KaTeX_Main-Regular.0r86ux5c2_9jc.woff)format("woff"),url(../media/KaTeX_Main-Regular.0cm4nk2aib81i.ttf)format("truetype")}@font-face{font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(../media/KaTeX_Math-BoldItalic.0u_6s571--hh0.woff2)format("woff2"),url(../media/KaTeX_Math-BoldItalic.1-f92ydojzao_.woff)format("woff"),url(../media/KaTeX_Math-BoldItalic.0m2qm2_orz99k.ttf)format("truetype")}@font-face{font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(../media/KaTeX_Math-Italic.18dmviy-uianu.woff2)format("woff2"),url(../media/KaTeX_Math-Italic.2d-roszuwfrpn.woff)format("woff"),url(../media/KaTeX_Math-Italic.1vw7gcigzv33_.ttf)format("truetype")}@font-face{font-family:KaTeX_SansSerif;font-style:normal;font-weight:700;src:url(../media/KaTeX_SansSerif-Bold.19n5ohjzvq40z.woff2)format("woff2"),url(../media/KaTeX_SansSerif-Bold.1ad0dh55v7-4h.woff)format("woff"),url(../media/KaTeX_SansSerif-Bold.3ojskmd7zv_b8.ttf)format("truetype")}@font-face{font-family:KaTeX_SansSerif;font-style:italic;font-weight:400;src:url(../media/KaTeX_SansSerif-Italic.38w085lqrghwm.woff2)format("woff2"),url(../media/KaTeX_SansSerif-Italic.0_21g6aey40vy.woff)format("woff"),url(../media/KaTeX_SansSerif-Italic.0abd80e_ako5h.ttf)format("truetype")}@font-face{font-family:KaTeX_SansSerif;font-style:normal;font-weight:400;src:url(../media/KaTeX_SansSerif-Regular.3w8wtfek3qsk6.woff2)format("woff2"),url(../media/KaTeX_SansSerif-Regular.0v2olaztuqa1v.woff)format("woff"),url(../media/KaTeX_SansSerif-Regular.0xkeldfcfvj58.ttf)format("truetype")}@font-face{font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(../media/KaTeX_Script-Regular.10h737unm2jp7.woff2)format("woff2"),url(../media/KaTeX_Script-Regular.2m7-0wua2lvnq.woff)format("woff"),url(../media/KaTeX_Script-Regular.1hw1d7omwtnoy.ttf)format("truetype")}@font-face{font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(../media/KaTeX_Size1-Regular.3xype_vsmmjgw.woff2)format("woff2"),url(../media/KaTeX_Size1-Regular.3aliq3yd-ja9b.woff)format("woff"),url(../media/KaTeX_Size1-Regular.44z_qgcc9t0a_.ttf)format("truetype")}@font-face{font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url(../media/KaTeX_Size2-Regular.2-wakugslvf3a.woff2)format("woff2"),url(../media/KaTeX_Size2-Regular.3u0df62zf5guy.woff)format("woff"),url(../media/KaTeX_Size2-Regular.3eprswoc9v3fh.ttf)format("truetype")}@font-face{font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url(../media/KaTeX_Size3-Regular.1nfuh3l6nzhjv.woff2)format("woff2"),url(../media/KaTeX_Size3-Regular.3n7wm08wz2r2g.woff)format("woff"),url(../media/KaTeX_Size3-Regular.2kp2izz6g7r-7.ttf)format("truetype")}@font-face{font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(../media/KaTeX_Size4-Regular.13pyt7zi482pb.woff2)format("woff2"),url(../media/KaTeX_Size4-Regular.37jvrh2wknf5u.woff)format("woff"),url(../media/KaTeX_Size4-Regular.2ltjhs9xhaefy.ttf)format("truetype")}@font-face{font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(../media/KaTeX_Typewriter-Regular.2vfnlegjq9l42.woff2)format("woff2"),url(../media/KaTeX_Typewriter-Regular.0xi5kyeeydv4z.woff)format("woff"),url(../media/KaTeX_Typewriter-Regular.34aedpl-_o3h3.ttf)format("truetype")}.katex{text-rendering:auto;text-indent:0;font:1.21em/1.2 KaTeX_Main,Times New Roman,serif}.katex *{border-color:currentColor;-ms-high-contrast-adjust:none!important}.katex .katex-version:after{content:"0.16.8"}.katex .katex-mathml{clip:rect(1px,1px,1px,1px);border:0;width:1px;height:1px;padding:0;position:absolute;overflow:hidden}.katex .katex-html>.newline{display:block}.katex .base{white-space:nowrap;width:min-content;position:relative}.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;table-layout:fixed;display:inline-table}.katex .vlist-r{display:table-row}.katex .vlist{vertical-align:bottom;display:table-cell;position:relative}.katex .vlist>span{height:0;display:block;position:relative}.katex .vlist>span>span{display:inline-block}.katex .vlist>span>.pstrut{width:0;overflow:hidden}.katex .vlist-t2{margin-right:-2px}.katex .vlist-s{vertical-align:bottom;width:2px;min-width:2px;font-size:1px;display:table-cell}.katex .vbox{flex-direction:column;align-items:baseline;display:inline-flex}.katex .hbox{width:100%}.katex .hbox,.katex .thinbox{flex-direction:row;display:inline-flex}.katex .thinbox{width:0;max-width:0}.katex .msupsub{text-align:left}.katex .mfrac>span>span{text-align:center}.katex .mfrac .frac-line{border-bottom-style:solid;width:100%;display:inline-block}.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{width:0;position:relative}.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;width:100%;display:inline-block}.katex .hdashline{border-bottom-style:dashed;width:100%;display:inline-block}.katex .sqrt>.root{margin-left:.277778em;margin-right:-.555556em}.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:.833333em}.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:1.16667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .sizing.reset-size2.size4{font-size:1.33333em}.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:1.66667em}.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:3.45667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .sizing.reset-size2.size11{font-size:4.14667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .sizing.reset-size3.size1{font-size:.714286em}.katex .fontsize-ensurer.reset-size3.size2,.katex .sizing.reset-size3.size2{font-size:.857143em}.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:1.14286em}.katex .fontsize-ensurer.reset-size3.size5,.katex .sizing.reset-size3.size5{font-size:1.28571em}.katex .fontsize-ensurer.reset-size3.size6,.katex .sizing.reset-size3.size6{font-size:1.42857em}.katex .fontsize-ensurer.reset-size3.size7,.katex .sizing.reset-size3.size7{font-size:1.71429em}.katex .fontsize-ensurer.reset-size3.size8,.katex .sizing.reset-size3.size8{font-size:2.05714em}.katex .fontsize-ensurer.reset-size3.size9,.katex .sizing.reset-size3.size9{font-size:2.46857em}.katex .fontsize-ensurer.reset-size3.size10,.katex .sizing.reset-size3.size10{font-size:2.96286em}.katex .fontsize-ensurer.reset-size3.size11,.katex .sizing.reset-size3.size11{font-size:3.55429em}.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:.555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .sizing.reset-size5.size2{font-size:.666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .sizing.reset-size5.size3{font-size:.777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .sizing.reset-size5.size4{font-size:.888889em}.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:1.11111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .sizing.reset-size5.size7{font-size:1.33333em}.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:2.30444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .sizing.reset-size5.size11{font-size:2.76444em}.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:.416667em}.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:.583333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .sizing.reset-size7.size4{font-size:.666667em}.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:.833333em}.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:1.72833em}.katex .fontsize-ensurer.reset-size7.size11,.katex .sizing.reset-size7.size11{font-size:2.07333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .sizing.reset-size8.size1{font-size:.347222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .sizing.reset-size8.size2{font-size:.416667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .sizing.reset-size8.size3{font-size:.486111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .sizing.reset-size8.size4{font-size:.555556em}.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:.694444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .sizing.reset-size8.size7{font-size:.833333em}.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:1.44028em}.katex .fontsize-ensurer.reset-size8.size11,.katex .sizing.reset-size8.size11{font-size:1.72778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .sizing.reset-size9.size1{font-size:.289352em}.katex .fontsize-ensurer.reset-size9.size2,.katex .sizing.reset-size9.size2{font-size:.347222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .sizing.reset-size9.size3{font-size:.405093em}.katex .fontsize-ensurer.reset-size9.size4,.katex .sizing.reset-size9.size4{font-size:.462963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .sizing.reset-size9.size5{font-size:.520833em}.katex .fontsize-ensurer.reset-size9.size6,.katex .sizing.reset-size9.size6{font-size:.578704em}.katex .fontsize-ensurer.reset-size9.size7,.katex .sizing.reset-size9.size7{font-size:.694444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .sizing.reset-size9.size8{font-size:.833333em}.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:1.20023em}.katex .fontsize-ensurer.reset-size9.size11,.katex .sizing.reset-size9.size11{font-size:1.43981em}.katex .fontsize-ensurer.reset-size10.size1,.katex .sizing.reset-size10.size1{font-size:.24108em}.katex .fontsize-ensurer.reset-size10.size2,.katex .sizing.reset-size10.size2{font-size:.289296em}.katex .fontsize-ensurer.reset-size10.size3,.katex .sizing.reset-size10.size3{font-size:.337512em}.katex .fontsize-ensurer.reset-size10.size4,.katex .sizing.reset-size10.size4{font-size:.385728em}.katex .fontsize-ensurer.reset-size10.size5,.katex .sizing.reset-size10.size5{font-size:.433944em}.katex .fontsize-ensurer.reset-size10.size6,.katex .sizing.reset-size10.size6{font-size:.48216em}.katex .fontsize-ensurer.reset-size10.size7,.katex .sizing.reset-size10.size7{font-size:.578592em}.katex .fontsize-ensurer.reset-size10.size8,.katex .sizing.reset-size10.size8{font-size:.694311em}.katex .fontsize-ensurer.reset-size10.size9,.katex .sizing.reset-size10.size9{font-size:.833173em}.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:1.19961em}.katex .fontsize-ensurer.reset-size11.size1,.katex .sizing.reset-size11.size1{font-size:.200965em}.katex .fontsize-ensurer.reset-size11.size2,.katex .sizing.reset-size11.size2{font-size:.241158em}.katex .fontsize-ensurer.reset-size11.size3,.katex .sizing.reset-size11.size3{font-size:.281351em}.katex .fontsize-ensurer.reset-size11.size4,.katex .sizing.reset-size11.size4{font-size:.321543em}.katex .fontsize-ensurer.reset-size11.size5,.katex .sizing.reset-size11.size5{font-size:.361736em}.katex .fontsize-ensurer.reset-size11.size6,.katex .sizing.reset-size11.size6{font-size:.401929em}.katex .fontsize-ensurer.reset-size11.size7,.katex .sizing.reset-size11.size7{font-size:.482315em}.katex .fontsize-ensurer.reset-size11.size8,.katex .sizing.reset-size11.size8{font-size:.578778em}.katex .fontsize-ensurer.reset-size11.size9,.katex .sizing.reset-size11.size9{font-size:.694534em}.katex .fontsize-ensurer.reset-size11.size10,.katex .sizing.reset-size11.size10{font-size:.833601em}.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{width:.12em;display:inline-block}.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{min-width:1px;display:inline-block}.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:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1;height:inherit;width:100%;display:block;position:absolute}.katex svg path{stroke:none}.katex img{border-style:none;min-width:0;max-width:none;min-height:0;max-height:none}.katex .stretchy{width:100%;display:block;position:relative;overflow:hidden}.katex .stretchy:after,.katex .stretchy:before{content:""}.katex .hide-tail{width:100%;position:relative;overflow:hidden}.katex .halfarrow-left{width:50.2%;position:absolute;left:0;overflow:hidden}.katex .halfarrow-right{width:50.2%;position:absolute;right:0;overflow:hidden}.katex .brace-left{width:25.1%;position:absolute;left:0;overflow:hidden}.katex .brace-center{width:50%;position:absolute;left:25%;overflow:hidden}.katex .brace-right{width:25.1%;position:absolute;right:0;overflow:hidden}.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{box-sizing:border-box;border:.04em solid}.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{box-sizing:border-box;border-top:.049em solid;border-right:.049em solid;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{text-align:left;display:inline-block;position:absolute;right:calc(50% + .3em)}.katex .cd-label-right{text-align:right;display:inline-block;position:absolute;left:calc(50% + .3em)}.katex-display{text-align:center;margin:1em 0;display:block}.katex-display>.katex{text-align:center;white-space:nowrap;display:block}.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{text-align:left;padding-left:2em}body{counter-reset:katexEqnNo mmlEqnNo}