/* Static math profiles follow the prepaint reader font choice. Only the new hosts
   match these rules; the lower-bound paper retains its own prepared variants. */
[data-site-math] {
  --site-math-main: "KPress Math Text", KaTeX_Main, "Times New Roman", serif;
  --site-math-variable: "KPress Math Text", KaTeX_Math, serif;
  --site-math-weight: 400;
  --site-math-bold: 700;
  --site-math-size: 1em;
  --site-math-display-size: 1em;
}
[data-site-math="sans"],
[data-kpress-prose-font="sans"] [data-site-math="prose"] {
  --site-math-main: "KPress Math Text Sans", KaTeX_Main, "Times New Roman", serif;
  --site-math-variable: "KPress Math Text Sans", KaTeX_Math, serif;
  --site-math-weight: var(--_kpress-math-sans-regular-weight, 400);
  --site-math-bold: 650;
}
[data-site-math="katex"],
[data-kpress-font-set="system"] [data-site-math],
.kpress[data-kpress-fonts="system"] [data-site-math] {
  --site-math-main: KaTeX_Main, "Times New Roman", serif;
  --site-math-variable: KaTeX_Math, serif;
  --site-math-weight: 400;
  --site-math-bold: 700;
  --site-math-size: 1.05em;
  --site-math-display-size: 1.1em;
}
:is(.kpress, .kpress-tooltip) [data-site-math] .katex.katex {
  font-family: var(--site-math-main);
  font-weight: var(--site-math-weight);
  font-size: var(--site-math-size);
}
:is(.kpress, .kpress-tooltip) [data-site-math] .katex-display .katex.katex {
  font-size: var(--site-math-display-size);
}
:is(.kpress, .kpress-tooltip) [data-site-math] .katex.katex :is(.mathnormal, .boldsymbol) {
  font-family: var(--site-math-variable);
}
:is(.kpress, .kpress-tooltip)
  [data-site-math]
  .katex.katex
  :is(.mathit, .mathbf, .textrm, .mainrm) {
  font-family: var(--site-math-main);
}
:is(.kpress, .kpress-tooltip) [data-site-math] .katex.katex :is(.mathbf, .boldsymbol) {
  font-weight: var(--site-math-bold);
}
[data-site-math] > .site-math-variant {
  display: none;
}
:is([data-site-math="prose"], [data-site-math="serif"]) > [data-site-math-profile~="prose"],
[data-site-math="sans"] > [data-site-math-profile~="sans"],
[data-site-math="katex"] > [data-site-math-profile~="katex"] {
  display: inline;
}
[data-kpress-prose-font="sans"] [data-site-math="prose"] > .site-math-variant {
  display: none;
}
[data-kpress-prose-font="sans"] [data-site-math="prose"] > [data-site-math-profile~="sans"] {
  display: inline;
}
:is([data-kpress-font-set="system"], .kpress[data-kpress-fonts="system"])
  [data-site-math]
  > .site-math-variant {
  display: none;
}
:is([data-kpress-font-set="system"], .kpress[data-kpress-fonts="system"])
  [data-site-math]
  > [data-site-math-profile~="katex"] {
  display: inline;
}
/* The prepared visual tree owns geometry. Isolate its already clipped semantic
   sibling while retaining accessible MathML and the native unrendered fallback. */
.kpress-math[data-kpress-math-rendered="true"] > .kpress-math-semantic {
  contain: strict;
}

/* Standalone paper wrappers have no native KPress semantic sibling. Keep their one
   generated MathML subtree accessible without painting it beside the visual math. */
[data-site-math] > .katex-mathml {
  border: 0;
  clip: rect(1px, 1px, 1px, 1px);
  clip-path: inset(50%);
  height: 1px;
  overflow: hidden;
  padding: 0;
  position: absolute;
  width: 1px;
}
/* Frontier table values paint their existing semantic tree directly. Math font
   metrics paint constructions and operators; text tokens follow the reader sans
   face, including custom/system choices and the static print instances. */
.site-frontier [data-site-native-math="frontier"] > math {
  font-family: math;
  font-size: 1em;
}
.site-frontier [data-site-native-math="frontier"] :is(mn, mi, mtext, ms) {
  font-family: var(--kpress-font-sans);
}

[data-site-math] .sm02edcf63fa.sm02edcf63fa.sm02edcf63fa.sm02edcf63fa{height:0.9035em;vertical-align:-0.012em;}
[data-site-math] .sm064f932ffe.sm064f932ffe.sm064f932ffe.sm064f932ffe{height:0.73em;vertical-align:-0.012em;}
[data-site-math] .sm06939a19bf.sm06939a19bf.sm06939a19bf.sm06939a19bf{height:0.1697em;}
[data-site-math] .sm087d7384e1.sm087d7384e1.sm087d7384e1.sm087d7384e1{top:-2.5492em;margin-left:-0.029em;margin-right:0.05em;}
[data-site-math] .sm0bd64baa3e.sm0bd64baa3e.sm0bd64baa3e.sm0bd64baa3e{height:0.935em;}
[data-site-math] .sm0cbf1c2b02.sm0cbf1c2b02.sm0cbf1c2b02.sm0cbf1c2b02{margin-right:0.029em;}
[data-site-math] .sm0cfb4cc6fe.sm0cfb4cc6fe.sm0cfb4cc6fe.sm0cfb4cc6fe{height:1.179em;vertical-align:-0.25em;}
[data-site-math] .sm0d0637ddb7.sm0d0637ddb7.sm0d0637ddb7.sm0d0637ddb7{height:0.767em;vertical-align:-0.012em;}
[data-site-math] .sm0e6881478a.sm0e6881478a.sm0e6881478a.sm0e6881478a{height:0.724em;vertical-align:-0.012em;}
[data-site-math] .sm0e7b3eef1c.sm0e7b3eef1c.sm0e7b3eef1c.sm0e7b3eef1c{height:0.9447em;vertical-align:-0.0833em;}
[data-site-math] .sm0ff72dcf1f.sm0ff72dcf1f.sm0ff72dcf1f.sm0ff72dcf1f{height:0.8776em;vertical-align:-0.012em;}
[data-site-math] .sm110676ca5e.sm110676ca5e.sm110676ca5e.sm110676ca5e{height:0.105em;}
[data-site-math] .sm110a3e53a2.sm110a3e53a2.sm110a3e53a2.sm110a3e53a2{height:0.7719em;vertical-align:-0.136em;}
[data-site-math] .sm18015497fa.sm18015497fa.sm18015497fa.sm18015497fa{height:0.73em;vertical-align:-0.012em;}
[data-site-math] .sm1901848c07.sm1901848c07.sm1901848c07.sm1901848c07{height:0.6741em;}
[data-site-math] .sm193d3211d2.sm193d3211d2.sm193d3211d2.sm193d3211d2{height:0.524em;vertical-align:-0.012em;}
[data-site-math] .sm1b39710dcc.sm1b39710dcc.sm1b39710dcc.sm1b39710dcc{height:0.3448em;}
[data-site-math] .sm1b81bf2517.sm1b81bf2517.sm1b81bf2517.sm1b81bf2517{height:0.3448em;}
[data-site-math] .sm1d3c6f9545.sm1d3c6f9545.sm1d3c6f9545.sm1d3c6f9545{height:0.7em;}
[data-site-math] .sm1f2e86a104.sm1f2e86a104.sm1f2e86a104.sm1f2e86a104{height:0.7893em;vertical-align:-0.0833em;}
[data-site-math] .sm20359eb314.sm20359eb314.sm20359eb314.sm20359eb314{height:0.8734em;vertical-align:-0.012em;}
[data-site-math] .sm2325cc1d9e.sm2325cc1d9e.sm2325cc1d9e.sm2325cc1d9e{height:0.518em;vertical-align:-0.006em;}
[data-site-math] .sm249d09419e.sm249d09419e.sm249d09419e.sm249d09419e{height:0.712em;vertical-align:-0.006em;}
[data-site-math] .sm26a4cc1540.sm26a4cc1540.sm26a4cc1540.sm26a4cc1540{height:0.8508em;vertical-align:-0.1508em;}
[data-site-math] .sm270787fce5.sm270787fce5.sm270787fce5.sm270787fce5{height:0.913em;vertical-align:-0.201em;}
[data-site-math] .sm29c2a574ef.sm29c2a574ef.sm29c2a574ef.sm29c2a574ef{height:0.724em;vertical-align:-0.012em;}
[data-site-math] .sm2b46a1c5fb.sm2b46a1c5fb.sm2b46a1c5fb.sm2b46a1c5fb{height:0.3448em;}
[data-site-math] .sm2cea2e4636.sm2cea2e4636.sm2cea2e4636.sm2cea2e4636{height:0.4831em;}
[data-site-math] .sm2e2820c367.sm2e2820c367.sm2e2820c367.sm2e2820c367{top:-2.895em;}
[data-site-math] .sm2f73c02eac.sm2f73c02eac.sm2f73c02eac.sm2f73c02eac{height:0.767em;vertical-align:-0.012em;}
[data-site-math] .sm2fbcd1c2a8.sm2fbcd1c2a8.sm2fbcd1c2a8.sm2fbcd1c2a8{height:0.7953em;vertical-align:-0.0833em;}
[data-site-math] .sm2fe25d30b3.sm2fe25d30b3.sm2fe25d30b3.sm2fe25d30b3{margin-right:0.0556em;}
[data-site-math] .sm325d121933.sm325d121933.sm325d121933.sm325d121933{height:0.3669em;}
[data-site-math] .sm337804602d.sm337804602d.sm337804602d.sm337804602d{top:-3.063em;margin-right:0.05em;}
[data-site-math] .sm35f942b9ac.sm35f942b9ac.sm35f942b9ac.sm35f942b9ac{height:0.524em;vertical-align:-0.012em;}
[data-site-math] .sm3ab3cb8942.sm3ab3cb8942.sm3ab3cb8942.sm3ab3cb8942{height:0.8614em;}
[data-site-math] .sm3fd119a092.sm3fd119a092.sm3fd119a092.sm3fd119a092{height:0.099em;}
[data-site-math] .sm40dd4dcd2d.sm40dd4dcd2d.sm40dd4dcd2d.sm40dd4dcd2d{top:-2.9165em;}
[data-site-math] .sm42e962facb.sm42e962facb.sm42e962facb.sm42e962facb{height:1.04em;vertical-align:-0.099em;}
[data-site-math] .sm46af2e1eed.sm46af2e1eed.sm46af2e1eed.sm46af2e1eed{height:0.967em;vertical-align:-0.215em;}
[data-site-math] .sm495fe80389.sm495fe80389.sm495fe80389.sm495fe80389{height:0.8588em;vertical-align:-0.1508em;}
[data-site-math] .sm4aa14e6b1c.sm4aa14e6b1c.sm4aa14e6b1c.sm4aa14e6b1c{height:1.1114em;vertical-align:-0.25em;}
[data-site-math] .sm4cf6cac7fc.sm4cf6cac7fc.sm4cf6cac7fc.sm4cf6cac7fc{margin-right:0.0319em;}
[data-site-math] .sm4ebd7e37f6.sm4ebd7e37f6.sm4ebd7e37f6.sm4ebd7e37f6{margin-right:0em;}
[data-site-math] .sm52634f35b8.sm52634f35b8.sm52634f35b8.sm52634f35b8{top:-2.901em;}
[data-site-math] .sm52bf2586ae.sm52bf2586ae.sm52bf2586ae.sm52bf2586ae{height:1.002em;vertical-align:-0.25em;}
[data-site-math] .sm5a897d9e5a.sm5a897d9e5a.sm5a897d9e5a.sm5a897d9e5a{height:0.724em;vertical-align:-0.012em;}
[data-site-math] .sm5c24b88232.sm5c24b88232.sm5c24b88232.sm5c24b88232{height:0.929em;}
[data-site-math] .sm5c8a02c60f.sm5c8a02c60f.sm5c8a02c60f.sm5c8a02c60f{margin-right:0.2778em;}
[data-site-math] .sm5d7c1c2695.sm5d7c1c2695.sm5d7c1c2695.sm5d7c1c2695{height:0.964em;vertical-align:-0.212em;}
[data-site-math] .sm609d984996.sm609d984996.sm609d984996.sm609d984996{height:0.8656em;}
[data-site-math] .sm6363f3b501.sm6363f3b501.sm6363f3b501.sm6363f3b501{height:0.7953em;vertical-align:-0.0833em;}
[data-site-math] .sm64a3cd5279.sm64a3cd5279.sm64a3cd5279.sm64a3cd5279{margin-right:0.099em;}
[data-site-math] .sm674255ee98.sm674255ee98.sm674255ee98.sm674255ee98{margin-right:0em;}
[data-site-math] .sm67ad421c46.sm67ad421c46.sm67ad421c46.sm67ad421c46{height:0.712em;}
[data-site-math] .sm705ba9968c.sm705ba9968c.sm705ba9968c.sm705ba9968c{height:0.524em;vertical-align:-0.012em;}
[data-site-math] .sm763f24e19b.sm763f24e19b.sm763f24e19b.sm763f24e19b{height:0.712em;}
[data-site-math] .sm792290f2b5.sm792290f2b5.sm792290f2b5.sm792290f2b5{height:0.4951em;}
[data-site-math] .sm7c801ad229.sm7c801ad229.sm7c801ad229.sm7c801ad229{margin-right:0.062em;}
[data-site-math] .sm7e0eab08c9.sm7e0eab08c9.sm7e0eab08c9.sm7e0eab08c9{height:1.191em;vertical-align:-0.25em;}
[data-site-math] .sm7ecac7f0b8.sm7ecac7f0b8.sm7ecac7f0b8.sm7ecac7f0b8{height:0.8853em;vertical-align:-0.012em;}
[data-site-math] .sm7ff550d038.sm7ff550d038.sm7ff550d038.sm7ff550d038{height:1.185em;vertical-align:-0.25em;}
[data-site-math] .sm82544a40dc.sm82544a40dc.sm82544a40dc.sm82544a40dc{height:0.1662em;}
[data-site-math] .sm83fe5b2cfb.sm83fe5b2cfb.sm83fe5b2cfb.sm83fe5b2cfb{height:3em;}
[data-site-math] .sm844404cc2c.sm844404cc2c.sm844404cc2c.sm844404cc2c{height:0.8383em;vertical-align:-0.0833em;}
[data-site-math] .sm887f5e3107.sm887f5e3107.sm887f5e3107.sm887f5e3107{margin-right:0.013em;}
[data-site-math] .sm8b8a721695.sm8b8a721695.sm8b8a721695.sm8b8a721695{height:1.005em;vertical-align:-0.25em;}
[data-site-math] .sm90258988b6.sm90258988b6.sm90258988b6.sm90258988b6{margin-right:0.2222em;}
[data-site-math] .sm92f349cd39.sm92f349cd39.sm92f349cd39.sm92f349cd39{height:1.2065em;vertical-align:-0.25em;}
[data-site-math] .sm9434ef2461.sm9434ef2461.sm9434ef2461.sm9434ef2461{height:0.99em;vertical-align:-0.29em;}
[data-site-math] .sm9537038d8b.sm9537038d8b.sm9537038d8b.sm9537038d8b{margin-right:0em;}
[data-site-math] .sm9682ad2c96.sm9682ad2c96.sm9682ad2c96.sm9682ad2c96{height:0.1536em;}
[data-site-math] .sm97276a7887.sm97276a7887.sm97276a7887.sm97276a7887{margin-right:0.1667em;}
[data-site-math] .sm9750c56eb8.sm9750c56eb8.sm9750c56eb8.sm9750c56eb8{margin-right:0.088em;}
[data-site-math] .sm9956cb0f02.sm9956cb0f02.sm9956cb0f02.sm9956cb0f02{margin-right:0.162em;}
[data-site-math] .sm9aefb88ac1.sm9aefb88ac1.sm9aefb88ac1.sm9aefb88ac1{height:0.7em;}
[data-site-math] .sm9aefcba848.sm9aefcba848.sm9aefcba848.sm9aefcba848{top:-3em;}
[data-site-math] .sm9c45250aa9.sm9c45250aa9.sm9c45250aa9.sm9c45250aa9{height:0.853em;}
[data-site-math] .sm9cabd4166d.sm9cabd4166d.sm9cabd4166d.sm9cabd4166d{margin-right:0.0033em;}
[data-site-math] .sm9d08ab3c4e.sm9d08ab3c4e.sm9d08ab3c4e.sm9d08ab3c4e{height:0.9565em;}
[data-site-math] .sm9fd339c3fd.sm9fd339c3fd.sm9fd339c3fd.sm9fd339c3fd{height:0.1508em;}
[data-site-math] .sma0fdc83b93.sma0fdc83b93.sma0fdc83b93.sma0fdc83b93{top:-2.55em;margin-left:-0.062em;margin-right:0.05em;}
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[data-site-math] .smbe1e66999c.smbe1e66999c.smbe1e66999c.smbe1e66999c{height:0.111em;}
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[data-site-math] .smc2679fc9b2.smc2679fc9b2.smc2679fc9b2.smc2679fc9b2{margin-right:0.01em;}
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[data-site-math] .smcb23e0a0df.smcb23e0a0df.smcb23e0a0df.smcb23e0a0df{min-width:0.853em;height:1.08em;}
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[data-site-math] .smcce0b23265.smcce0b23265.smcce0b23265.smcce0b23265{height:0.7953em;vertical-align:-0.0833em;}
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[data-site-math] .smd1411cc80a.smd1411cc80a.smd1411cc80a.smd1411cc80a{height:0.2084em;}
[data-site-math] .smd33d7bd293.smd33d7bd293.smd33d7bd293.smd33d7bd293{height:0.3448em;}
[data-site-math] .smd36cd91ddb.smd36cd91ddb.smd36cd91ddb.smd36cd91ddb{top:-2.5464em;margin-left:-0.162em;margin-right:0.05em;}
[data-site-math] .smd40dabc553.smd40dabc553.smd40dabc553.smd40dabc553{height:0.712em;vertical-align:-0.012em;}
[data-site-math] .smd7c8a0ca3d.smd7c8a0ca3d.smd7c8a0ca3d.smd7c8a0ca3d{height:0.8734em;vertical-align:-0.012em;}
[data-site-math] .smd7fc4e889d.smd7fc4e889d.smd7fc4e889d.smd7fc4e889d{height:1em;vertical-align:-0.25em;}
[data-site-math] .smda0197e7ab.smda0197e7ab.smda0197e7ab.smda0197e7ab{height:0.709em;vertical-align:-0.009em;}
[data-site-math] .smda928dba42.smda928dba42.smda928dba42.smda928dba42{height:2.7em;}
[data-site-math] .sme188110fe8.sme188110fe8.sme188110fe8.sme188110fe8{top:-2.5345em;margin-left:-0.013em;margin-right:0.05em;}
[data-site-math] .sme3209ebdce.sme3209ebdce.sme3209ebdce.sme3209ebdce{height:0.0835em;}
[data-site-math] .sme5504a4a33.sme5504a4a33.sme5504a4a33.sme5504a4a33{height:0.8915em;}
[data-site-math] .sme63cec4e99.sme63cec4e99.sme63cec4e99.sme63cec4e99{height:1.0486em;vertical-align:-0.25em;}
[data-site-math] .sme6496f9931.sme6496f9931.sme6496f9931.sme6496f9931{height:0.8734em;vertical-align:-0.012em;}
[data-site-math] .sme78177e323.sme78177e323.sme78177e323.sme78177e323{height:0.8614em;}
[data-site-math] .sme843b83d10.sme843b83d10.sme843b83d10.sme843b83d10{margin-right:0.011em;}
[data-site-math] .sme893dc80ac.sme893dc80ac.sme893dc80ac.sme893dc80ac{top:-2.889em;}
[data-site-math] .smeb73f52e88.smeb73f52e88.smeb73f52e88.smeb73f52e88{height:0.7917em;vertical-align:-0.1697em;}
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