@layer stylesheets {@import url('https://fonts.googleapis.com/css2?family=EB+Garamond:ital,wght@0,400;0,500;0,600;0,700;0,800;1,400;1,500;1,600;1,700;1,800&display=swap');
.manifold-text-section table {
    font-size: 0.75rem;
    border-collapse: collapse;
    table-layout: fixed;
    width: 100%;
    overflow: hidden;
}
.manifold-text-section table caption {
    text-align: left;
}
.manifold-text-section table {
    border-top-width: 1px;
    border-right-width: 1px;
    border-bottom-width: 1px;
    border-left-width: 1px;
    border-top-color: #ccc;
    border-right-color: #ccc;
    border-bottom-color: #ccc;
    border-left-color: #ccc;
    border-top-style: solid;
    border-right-style: solid;
    border-bottom-style: solid;
    border-left-style: solid;
    padding-top: 5px;
    padding-right: 5px;
    padding-bottom: 5px;
    padding-left: 5px;
}
.scheme-dark table {
    border-top-color: #333333;
    border-right-color: #333333;
    border-bottom-color: #333333;
    border-left-color: #333333;
}
.manifold-text-section tr {
    border-top-width: 1px;
    border-right-width: 1px;
    border-bottom-width: 1px;
    border-left-width: 1px;
    border-top-color: #ccc;
    border-right-color: #ccc;
    border-bottom-color: #ccc;
    border-left-color: #ccc;
    border-top-style: solid;
    border-right-style: solid;
    border-bottom-style: solid;
    border-left-style: solid;
    padding-top: 5px;
    padding-right: 5px;
    padding-bottom: 5px;
    padding-left: 5px;
}
.scheme-dark tr {
    border-top-color: #333333;
    border-right-color: #333333;
    border-bottom-color: #333333;
    border-left-color: #333333;
}
.manifold-text-section th {
    border-top-width: 1px;
    border-right-width: 1px;
    border-bottom-width: 1px;
    border-left-width: 1px;
    border-top-color: #ccc;
    border-right-color: #ccc;
    border-bottom-color: #ccc;
    border-left-color: #ccc;
    border-top-style: solid;
    border-right-style: solid;
    border-bottom-style: solid;
    border-left-style: solid;
    padding-top: 5px;
    padding-right: 5px;
    padding-bottom: 5px;
    padding-left: 5px;
}
.scheme-dark th {
    border-top-color: #333333;
    border-right-color: #333333;
    border-bottom-color: #333333;
    border-left-color: #333333;
}
.manifold-text-section td {
    border-top-width: 1px;
    border-right-width: 1px;
    border-bottom-width: 1px;
    border-left-width: 1px;
    border-top-color: #ccc;
    border-right-color: #ccc;
    border-bottom-color: #ccc;
    border-left-color: #ccc;
    border-top-style: solid;
    border-right-style: solid;
    border-bottom-style: solid;
    border-left-style: solid;
    padding-top: 5px;
    padding-right: 5px;
    padding-bottom: 5px;
    padding-left: 5px;
}
.scheme-dark td {
    border-top-color: #333333;
    border-right-color: #333333;
    border-bottom-color: #333333;
    border-left-color: #333333;
}
.manifold-text-section th {
    font-weight: bold;
    text-align: left;
    background-color: #f0f0f4;
}
.scheme-dark th {
    background-color: #10100C;
}
.manifold-text-section td {
    word-break: break-word;
}
.manifold-text-section a {
    word-break: break-word;
}
.manifold-text-section h2:not(p) {
    margin-top: 5rem;
    margin-bottom: 2rem;
    font-size: 1.8rem;
}
.manifold-text-section h1:not(p) {
    margin-bottom: 6rem;
    font-size: 2rem;
}
.manifold-text-section h3:not(p) {
    margin-bottom: 1rem;
    margin-top: 2rem;
    font-size: 1.3rem;
}
.manifold-text-section p {
    line-height: 1.5;
}
#manifold-text-section.font-serif p {
    text-align: justify;
    hyphens: auto;
}
#manifold-text-section.font-serif div > p + p {
    text-indent: 2rem;
}
#manifold-text-section.font-serif p {
    margin-top: 0;
    margin-right: 0;
    margin-bottom: 0;
    margin-left: 0;
}
#manifold-text-section.font-serif {
    font-family: 'EB Garamond', serif;
}
#manifold-text-section.font-serif strong {
    font-weight: 500;
}
#manifold-text-section.font-serif h2:not(p) {
    font-variant-caps: all-small-caps;
}
#manifold-text-section.font-serif h3:not(p) {
    font-weight: 400;
    font-style: italic;
}
.manifold-text-section figure {
    margin-top: 8rem;
    margin-right: 4rem;
    margin-bottom: 8rem;
    margin-left: 4rem;
}
.manifold-text-section figcaption > strong {
    display: none;
}
.manifold-text-section .katex-mathml {
    position: absolute;
}
.manifold-text-section math-display {
    display: block;
}
.manifold-text-section math-display .math-render {
    display: block;
}
.manifold-text-section math-display.ProseMirror-selectednode {
    background-color: #eee;
}
.scheme-dark math-display.ProseMirror-selectednode {
    background-color: #121212;
}
.manifold-text-section math-display .math-src .ProseMirror {
    width: 100%;
    display: block;
}
.manifold-text-section math-display .math-src::after {
    content: ';
    text-align: left;
    color: #b0b0b0;
}
.scheme-dark math-display .math-src::after {
    color: #505050;
}
.manifold-text-section math-display .math-src::before {
    content: ';
    text-align: left;
    color: #b0b0b0;
}
.scheme-dark math-display .math-src::before {
    color: #505050;
}
.manifold-text-section math-display .katex-display {
    margin-top: 0;
    margin-right: 0;
    margin-bottom: 0;
    margin-left: 0;
}
.manifold-text-section .katex {
    text-rendering: auto;
    font-style: normal;
    font-variant: normal;
    font-weight: normal;
    font-size: 1.21rem;
    font-family: KaTeX_Main, Times, New, Roman, serif;
    line-height: 1.2;
    text-indent: 0;
}
.manifold-text-section .katex .katex-version:after {
    content: '0.13.18';
}
.manifold-text-section .katex .katex-mathml {
    clip: rect(1px, 1px, 1px, 1px);
    border-top-width: 0;
    border-right-width: 0;
    border-bottom-width: 0;
    border-left-width: 0;
    height: 1px;
    overflow: hidden;
    padding-top: 0;
    padding-right: 0;
    padding-bottom: 0;
    padding-left: 0;
    position: absolute;
    width: 1px;
}
.manifold-text-section .katex .katex-html > .newline {
    display: block;
}
.manifold-text-section .katex .base {
    position: relative;
    white-space: nowrap;
    width: min-content;
}
.manifold-text-section .katex .base {
    display: inline-block;
}
.manifold-text-section .katex .strut {
    display: inline-block;
}
.manifold-text-section .katex .textbf {
    font-weight: 700;
}
.manifold-text-section .katex .textit {
    font-style: italic;
}
.manifold-text-section .katex .textrm {
    font-family: KaTeX_Main;
}
.manifold-text-section .katex .textsf {
    font-family: KaTeX_SansSerif;
}
.manifold-text-section .katex .texttt {
    font-family: KaTeX_Typewriter;
}
.manifold-text-section .katex .mathnormal {
    font-family: KaTeX_Math;
    font-style: italic;
}
.manifold-text-section .katex .mathit {
    font-family: KaTeX_Main;
    font-style: italic;
}
.manifold-text-section .katex .mathrm {
    font-style: normal;
}
.manifold-text-section .katex .mathbf {
    font-family: KaTeX_Main;
    font-weight: 700;
}
.manifold-text-section .katex .boldsymbol {
    font-family: KaTeX_Math;
    font-style: italic;
    font-weight: 700;
}
.manifold-text-section .katex .amsrm {
    font-family: KaTeX_AMS;
}
.manifold-text-section .katex .mathbb {
    font-family: KaTeX_AMS;
}
.manifold-text-section .katex .textbb {
    font-family: KaTeX_AMS;
}
.manifold-text-section .katex .mathcal {
    font-family: KaTeX_Caligraphic;
}
.manifold-text-section .katex .mathfrak {
    font-family: KaTeX_Fraktur;
}
.manifold-text-section .katex .textfrak {
    font-family: KaTeX_Fraktur;
}
.manifold-text-section .katex .mathtt {
    font-family: KaTeX_Typewriter;
}
.manifold-text-section .katex .mathscr {
    font-family: KaTeX_Script;
}
.manifold-text-section .katex .textscr {
    font-family: KaTeX_Script;
}
.manifold-text-section .katex .mathsf {
    font-family: KaTeX_SansSerif;
}
.manifold-text-section .katex .textsf {
    font-family: KaTeX_SansSerif;
}
.manifold-text-section .katex .mathboldsf {
    font-family: KaTeX_SansSerif;
    font-weight: 700;
}
.manifold-text-section .katex .textboldsf {
    font-family: KaTeX_SansSerif;
    font-weight: 700;
}
.manifold-text-section .katex .mathitsf {
    font-family: KaTeX_SansSerif;
    font-style: italic;
}
.manifold-text-section .katex .textitsf {
    font-family: KaTeX_SansSerif;
    font-style: italic;
}
.manifold-text-section .katex .mainrm {
    font-family: KaTeX_Main;
    font-style: normal;
}
.manifold-text-section .katex .vlist-t {
    border-collapse: collapse;
    display: inline-table;
    table-layout: fixed;
}
.manifold-text-section .katex .vlist-r {
    display: table-row;
}
.manifold-text-section .katex .vlist {
    display: table-cell;
    position: relative;
    vertical-align: bottom;
}
.manifold-text-section .katex .vlist > span {
    display: block;
    height: 0;
    position: relative;
}
.manifold-text-section .katex .vlist > span > span {
    display: inline-block;
}
.manifold-text-section .katex .vlist > span > .pstrut {
    overflow: hidden;
    width: 0;
}
.manifold-text-section .katex .vlist-t2 {
    margin-right: -2px;
}
.manifold-text-section .katex .vlist-s {
    display: table-cell;
    font-size: 0.063rem;
    min-width: 2px;
    vertical-align: bottom;
    width: 2px;
}
.manifold-text-section .katex .vbox {
    align-items: baseline;
    display: inline-flex;
    flex-direction: column;
}
.manifold-text-section .katex .hbox {
    width: 100%;
}
.manifold-text-section .katex .hbox {
    display: inline-flex;
    flex-direction: row;
}
.manifold-text-section .katex .thinbox {
    display: inline-flex;
    flex-direction: row;
}
.manifold-text-section .katex .thinbox {
    max-width: 0;
    width: 0;
}
.manifold-text-section .katex .msupsub {
    text-align: left;
}
.manifold-text-section .katex .mfrac > span > span {
    text-align: center;
}
.manifold-text-section .katex .mfrac .frac-line {
    border-bottom-style: solid;
    display: inline-block;
    width: 100%;
}
.manifold-text-section .katex .hdashline {
    min-height: 1px;
}
.manifold-text-section .katex .hline {
    min-height: 1px;
}
.manifold-text-section .katex .mfrac .frac-line {
    min-height: 1px;
}
.manifold-text-section .katex .overline .overline-line {
    min-height: 1px;
}
.manifold-text-section .katex .rule {
    min-height: 1px;
}
.manifold-text-section .katex .underline .underline-line {
    min-height: 1px;
}
.manifold-text-section .katex .mspace {
    display: inline-block;
}
.manifold-text-section .katex .clap {
    position: relative;
    width: 0;
}
.manifold-text-section .katex .llap {
    position: relative;
    width: 0;
}
.manifold-text-section .katex .rlap {
    position: relative;
    width: 0;
}
.manifold-text-section .katex .clap > .inner {
    position: absolute;
}
.manifold-text-section .katex .llap > .inner {
    position: absolute;
}
.manifold-text-section .katex .rlap > .inner {
    position: absolute;
}
.manifold-text-section .katex .clap > .fix {
    display: inline-block;
}
.manifold-text-section .katex .llap > .fix {
    display: inline-block;
}
.manifold-text-section .katex .rlap > .fix {
    display: inline-block;
}
.manifold-text-section .katex .llap > .inner {
    right: 0;
}
.manifold-text-section .katex .clap > .inner {
    left: 0;
}
.manifold-text-section .katex .rlap > .inner {
    left: 0;
}
.manifold-text-section .katex .clap > .inner > span {
    margin-left: -50%;
    margin-right: 50%;
}
.manifold-text-section .katex .rule {
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    border-right-width: 0;
    border-bottom-width: 0;
    border-left-width: 0;
    border-top-style: solid;
    border-right-style: solid;
    border-bottom-style: solid;
    border-left-style: solid;
    display: inline-block;
    position: relative;
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.manifold-text-section .katex .hline {
    border-bottom-style: solid;
    display: inline-block;
    width: 100%;
}
.manifold-text-section .katex .overline .overline-line {
    border-bottom-style: solid;
    display: inline-block;
    width: 100%;
}
.manifold-text-section .katex .underline .underline-line {
    border-bottom-style: solid;
    display: inline-block;
    width: 100%;
}
.manifold-text-section .katex .hdashline {
    border-bottom-style: dashed;
    display: inline-block;
    width: 100%;
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.manifold-text-section .katex .sqrt > .root {
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.manifold-text-section .katex .fontsize-ensurer.reset-size1.size1 {
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.manifold-text-section .katex .sizing.reset-size1.size1 {
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.manifold-text-section .katex .fontsize-ensurer.reset-size1.size2 {
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.manifold-text-section .katex .fontsize-ensurer.reset-size1.size3 {
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.manifold-text-section .katex .stretchy:after {
    content: '';
}
.manifold-text-section .katex .stretchy:before {
    content: '';
}
.manifold-text-section .katex .hide-tail {
    overflow: hidden;
    position: relative;
    width: 100%;
}
.manifold-text-section .katex .halfarrow-left {
    left: 0;
    overflow: hidden;
    position: absolute;
    width: 50.2%;
}
.manifold-text-section .katex .halfarrow-right {
    overflow: hidden;
    position: absolute;
    right: 0;
    width: 50.2%;
}
.manifold-text-section .katex .brace-left {
    left: 0;
    overflow: hidden;
    position: absolute;
    width: 25.1%;
}
.manifold-text-section .katex .brace-center {
    left: 25%;
    overflow: hidden;
    position: absolute;
    width: 50%;
}
.manifold-text-section .katex .brace-right {
    overflow: hidden;
    position: absolute;
    right: 0;
    width: 25.1%;
}
.manifold-text-section .katex .x-arrow-pad {
    padding-top: 0;
    padding-right: 0.5em;
    padding-bottom: 0;
    padding-left: 0.5em;
}
.manifold-text-section .katex .cd-arrow-pad {
    padding-top: 0;
    padding-right: 0.55556em;
    padding-bottom: 0;
    padding-left: 0.27778em;
}
.manifold-text-section .katex .mover {
    text-align: center;
}
.manifold-text-section .katex .munder {
    text-align: center;
}
.manifold-text-section .katex .x-arrow {
    text-align: center;
}
.manifold-text-section .katex .boxpad {
    padding-top: 0;
    padding-right: 0.3em;
    padding-bottom: 0;
    padding-left: 0.3em;
}
.manifold-text-section .katex .fbox {
    border-top-width: 0.04em;
    border-right-width: 0.04em;
    border-bottom-width: 0.04em;
    border-left-width: 0.04em;
    border-top-style: solid;
    border-right-style: solid;
    border-bottom-style: solid;
    border-left-style: solid;
    box-sizing: border-box;
}
.manifold-text-section .katex .fcolorbox {
    border-top-width: 0.04em;
    border-right-width: 0.04em;
    border-bottom-width: 0.04em;
    border-left-width: 0.04em;
    border-top-style: solid;
    border-right-style: solid;
    border-bottom-style: solid;
    border-left-style: solid;
    box-sizing: border-box;
}
.manifold-text-section .katex .cancel-pad {
    padding-top: 0;
    padding-right: 0.2em;
    padding-bottom: 0;
    padding-left: 0.2em;
}
.manifold-text-section .katex .cancel-lap {
    margin-left: -0.2em;
    margin-right: -0.2em;
}
.manifold-text-section .katex .sout {
    border-bottom-style: solid;
    border-bottom-width: 0.08em;
}
.manifold-text-section .katex .angl {
    border-right-width: 0.049em;
    border-right-style: solid;
    border-top-width: 0.049em;
    border-top-style: solid;
    box-sizing: border-box;
    margin-right: 0.03889em;
}
.manifold-text-section .katex .anglpad {
    padding-top: 0;
    padding-right: 0.03889em;
    padding-bottom: 0;
    padding-left: 0.03889em;
}
.manifold-text-section .katex .eqn-num:before {
    content: '('counter(katexEqnNo) ')';
    counter-increment: katexEqnNo;
}
.manifold-text-section .katex .mml-eqn-num:before {
    content: '('counter(mmlEqnNo) ')';
    counter-increment: mmlEqnNo;
}
.manifold-text-section .katex .mtr-glue {
    width: 50%;
}
.manifold-text-section .katex .cd-vert-arrow {
    display: inline-block;
    position: relative;
}
.manifold-text-section .katex .cd-label-left {
    display: inline-block;
    position: absolute;
    right: calc(50% + 0.3em);
    text-align: left;
}
.manifold-text-section .katex .cd-label-right {
    display: inline-block;
    left: calc(50% + 0.3em);
    position: absolute;
    text-align: right;
}
.manifold-text-section .katex-display {
    display: block;
    margin-top: 1em;
    margin-right: 0;
    margin-bottom: 1em;
    margin-left: 0;
    text-align: center;
}
.manifold-text-section .katex-display > .katex {
    display: block;
    text-align: center;
    white-space: nowrap;
}
.manifold-text-section .katex-display > .katex > .katex-html {
    display: block;
    position: relative;
}
.manifold-text-section .katex-display > .katex > .katex-html > .tag {
    position: absolute;
    right: 0;
}
.manifold-text-section .katex-display.leqno > .katex > .katex-html > .tag {
    left: 0;
    right: auto;
}
.manifold-text-section .katex-display.fleqn > .katex {
    padding-left: 2em;
    text-align: left;
}
.manifold-text-section [data-node-type='math-inline'] {
    font-size: 0.9rem;
    display: inline-block;
    vertical-align: middle;
    max-width: 100%;
}
.manifold-text-section [data-node-type='math-block'] {
    font-size: 1.25rem;
    text-align: center;
    max-width: 100%;
    position: relative;
    display: flex;
}
.manifold-text-section [data-node-type='math-block'] > span {
    flex-grow: 1;
}
.manifold-text-section [data-node-type='math-block'] > span:first-child {
    flex-shrink: 2;
}
.manifold-text-section [data-node-type='math-block'] > span:nth-child(2) {
    flex-shrink: 0;
}
.manifold-text-section [data-node-type='math-block'] > span:last-child {
    flex-shrink: 1;
    text-align: right;
}
.manifold-text-section .math-label {
    text-align: center;
    font-family: Georgia, Cambria, 'Times New Roman', Times, 'DejaVu Serif',source-han-serif-tc, source-han-serif-korean,source-han-serif-japanese, source-han-serif-sc, serif;
}
.manifold-text-section .equation-label {
    text-align: center;
    font-family: Georgia, Cambria, 'Times New Roman', Times, 'DejaVu Serif',source-han-serif-tc, source-han-serif-korean,source-han-serif-japanese, source-han-serif-sc, serif;
}
.manifold-text-section h1 ~ p:first-of-type::first-letter {
    line-height: .9;
    font-size: 4.2rem;
    padding-right: 0.2rem;
    float: left;
}
.manifold-text-section #references ~ ol > li + li {
    margin-top: 1rem;
}}