/* 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] .sm06f960f3ec.sm06f960f3ec.sm06f960f3ec.sm06f960f3ec{height:0.6887em;}
[data-site-math] .sm0bd64baa3e.sm0bd64baa3e.sm0bd64baa3e.sm0bd64baa3e{height:0.935em;}
[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] .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] .sm1e97fe8b8e.sm1e97fe8b8e.sm1e97fe8b8e.sm1e97fe8b8e{height:1.088em;vertical-align:-0.25em;}
[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] .sm2e2820c367.sm2e2820c367.sm2e2820c367.sm2e2820c367{top:-2.895em;}
[data-site-math] .sm2eb7936538.sm2eb7936538.sm2eb7936538.sm2eb7936538{height:1.04em;vertical-align:-0.105em;}
[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] .sm337804602d.sm337804602d.sm337804602d.sm337804602d{top:-3.063em;margin-right:0.05em;}
[data-site-math] .sm375bb28f67.sm375bb28f67.sm375bb28f67.sm375bb28f67{height:0.767em;vertical-align:-0.012em;}
[data-site-math] .sm3871a4b019.sm3871a4b019.sm3871a4b019.sm3871a4b019{height:0.8013em;vertical-align:-0.0833em;}
[data-site-math] .sm3ab3cb8942.sm3ab3cb8942.sm3ab3cb8942.sm3ab3cb8942{height:0.8614em;}
[data-site-math] .sm40dd4dcd2d.sm40dd4dcd2d.sm40dd4dcd2d.sm40dd4dcd2d{top:-2.9165em;}
[data-site-math] .sm4aa14e6b1c.sm4aa14e6b1c.sm4aa14e6b1c.sm4aa14e6b1c{height:1.1114em;vertical-align:-0.25em;}
[data-site-math] .sm50b79d84d6.sm50b79d84d6.sm50b79d84d6.sm50b79d84d6{height:0.838em;}
[data-site-math] .sm52bf2586ae.sm52bf2586ae.sm52bf2586ae.sm52bf2586ae{height:1.002em;vertical-align:-0.25em;}
[data-site-math] .sm5c8a02c60f.sm5c8a02c60f.sm5c8a02c60f.sm5c8a02c60f{margin-right:0.2778em;}
[data-site-math] .sm609d984996.sm609d984996.sm609d984996.sm609d984996{height:0.8656em;}
[data-site-math] .sm674255ee98.sm674255ee98.sm674255ee98.sm674255ee98{margin-right:0em;}
[data-site-math] .sm67ad421c46.sm67ad421c46.sm67ad421c46.sm67ad421c46{height:0.712em;}
[data-site-math] .sm70294a2962.sm70294a2962.sm70294a2962.sm70294a2962{height:0.941em;}
[data-site-math] .sm709eae7001.sm709eae7001.sm709eae7001.sm709eae7001{height:0.9064em;vertical-align:-0.1944em;}
[data-site-math] .sm763f24e19b.sm763f24e19b.sm763f24e19b.sm763f24e19b{height:0.712em;}
[data-site-math] .sm83fe5b2cfb.sm83fe5b2cfb.sm83fe5b2cfb.sm83fe5b2cfb{height:3em;}
[data-site-math] .sm846872408a.sm846872408a.sm846872408a.sm846872408a{height:1.1114em;vertical-align:-0.25em;}
[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] .sm9123b52376.sm9123b52376.sm9123b52376.sm9123b52376{height:0.717em;vertical-align:-0.009em;}
[data-site-math] .sm92c26f043d.sm92c26f043d.sm92c26f043d.sm92c26f043d{top:-2.901em;}
[data-site-math] .sm92f349cd39.sm92f349cd39.sm92f349cd39.sm92f349cd39{height:1.2065em;vertical-align:-0.25em;}
[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] .sm9aefcba848.sm9aefcba848.sm9aefcba848.sm9aefcba848{top:-3em;}
[data-site-math] .sm9d08ab3c4e.sm9d08ab3c4e.sm9d08ab3c4e.sm9d08ab3c4e{height:0.9565em;}
[data-site-math] .sm9ddc99d8d6.sm9ddc99d8d6.sm9ddc99d8d6.sm9ddc99d8d6{top:-2.798em;}
[data-site-math] .sma89f5e26ee.sma89f5e26ee.sma89f5e26ee.sma89f5e26ee{height:0.712em;vertical-align:-0.012em;}
[data-site-math] .smab6d94e2ee.smab6d94e2ee.smab6d94e2ee.smab6d94e2ee{height:0.758em;vertical-align:-0.006em;}
[data-site-math] .smbd05f9d20a.smbd05f9d20a.smbd05f9d20a.smbd05f9d20a{height:0.202em;}
[data-site-math] .smc89b3aecd8.smc89b3aecd8.smc89b3aecd8.smc89b3aecd8{margin-right:0.001em;}
[data-site-math] .smcb23e0a0df.smcb23e0a0df.smcb23e0a0df.smcb23e0a0df{min-width:0.853em;height:1.08em;}
[data-site-math] .smcb6ad59347.smcb6ad59347.smcb6ad59347.smcb6ad59347{margin-right:0em;}
[data-site-math] .smcc5141ddd1.smcc5141ddd1.smcc5141ddd1.smcc5141ddd1{margin-right:0.066em;}
[data-site-math] .smcce0b23265.smcce0b23265.smcce0b23265.smcce0b23265{height:0.7953em;vertical-align:-0.0833em;}
[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] .smda928dba42.smda928dba42.smda928dba42.smda928dba42{height:2.7em;}
[data-site-math] .sme3209ebdce.sme3209ebdce.sme3209ebdce.sme3209ebdce{height:0.0835em;}
[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] .sme8a4a30cdb.sme8a4a30cdb.sme8a4a30cdb.sme8a4a30cdb{margin-right:0.1302em;}
[data-site-math] .smea4119541c.smea4119541c.smea4119541c.smea4119541c{height:0.718em;vertical-align:-0.006em;}
[data-site-math] .smed456add33.smed456add33.smed456add33.smed456add33{height:0.9124em;vertical-align:-0.1944em;}
[data-site-math] .smf357d1fe79.smf357d1fe79.smf357d1fe79.smf357d1fe79{margin-right:0.036em;}
[data-site-math] .smf48927f9c6.smf48927f9c6.smf48927f9c6.smf48927f9c6{height:0.8383em;vertical-align:-0.0833em;}
[data-site-math] .smfb8498829e.smfb8498829e.smfb8498829e.smfb8498829e{height:0.099em;}
[data-site-math] .smfd4da47175.smfd4da47175.smfd4da47175.smfd4da47175{height:1.04em;vertical-align:-0.099em;}
[data-site-math] .smfdb96e7f1e.smfdb96e7f1e.smfdb96e7f1e.smfdb96e7f1e{padding-left:0.833em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm0bd64baa3e.sm0bd64baa3e.sm0bd64baa3e.sm0bd64baa3e{height:0.904em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm0d0637ddb7.sm0d0637ddb7.sm0d0637ddb7.sm0d0637ddb7{height:0.662em;vertical-align:-0.012em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm0e6881478a.sm0e6881478a.sm0e6881478a.sm0e6881478a{height:0.662em;vertical-align:-0.012em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm0ff72dcf1f.sm0ff72dcf1f.sm0ff72dcf1f.sm0ff72dcf1f{height:0.83em;vertical-align:-0.012em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm110676ca5e.sm110676ca5e.sm110676ca5e.sm110676ca5e{height:0.136em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm18015497fa.sm18015497fa.sm18015497fa.sm18015497fa{height:0.662em;vertical-align:-0.012em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm1e97fe8b8e.sm1e97fe8b8e.sm1e97fe8b8e.sm1e97fe8b8e{height:1.084em;vertical-align:-0.25em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm2325cc1d9e.sm2325cc1d9e.sm2325cc1d9e.sm2325cc1d9e{height:0.498em;vertical-align:baseline;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm249d09419e.sm249d09419e.sm249d09419e.sm249d09419e{height:0.656em;vertical-align:baseline;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm2e2820c367.sm2e2820c367.sm2e2820c367.sm2e2820c367{top:-2.864em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm2eb7936538.sm2eb7936538.sm2eb7936538.sm2eb7936538{height:1.04em;vertical-align:-0.136em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm2f73c02eac.sm2f73c02eac.sm2f73c02eac.sm2f73c02eac{height:0.65em;vertical-align:-0.012em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm2fbcd1c2a8.sm2fbcd1c2a8.sm2fbcd1c2a8.sm2fbcd1c2a8{height:0.7333em;vertical-align:-0.0833em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm375bb28f67.sm375bb28f67.sm375bb28f67.sm375bb28f67{height:0.668em;vertical-align:-0.012em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm3871a4b019.sm3871a4b019.sm3871a4b019.sm3871a4b019{height:0.7333em;vertical-align:-0.0833em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm3ab3cb8942.sm3ab3cb8942.sm3ab3cb8942.sm3ab3cb8942{height:0.818em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm40dd4dcd2d.sm40dd4dcd2d.sm40dd4dcd2d.sm40dd4dcd2d{top:-2.858em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm4aa14e6b1c.sm4aa14e6b1c.sm4aa14e6b1c.sm4aa14e6b1c{height:1.068em;vertical-align:-0.25em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm50b79d84d6.sm50b79d84d6.sm50b79d84d6.sm50b79d84d6{height:0.834em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm52bf2586ae.sm52bf2586ae.sm52bf2586ae.sm52bf2586ae{height:1em;vertical-align:-0.25em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm609d984996.sm609d984996.sm609d984996.sm609d984996{height:0.818em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm674255ee98.sm674255ee98.sm674255ee98.sm674255ee98{margin-right:0em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm67ad421c46.sm67ad421c46.sm67ad421c46.sm67ad421c46{height:0.65em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm70294a2962.sm70294a2962.sm70294a2962.sm70294a2962{height:0.904em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm709eae7001.sm709eae7001.sm709eae7001.sm709eae7001{height:0.8444em;vertical-align:-0.1944em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm763f24e19b.sm763f24e19b.sm763f24e19b.sm763f24e19b{height:0.638em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm846872408a.sm846872408a.sm846872408a.sm846872408a{height:1.084em;vertical-align:-0.25em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm8b8a721695.sm8b8a721695.sm8b8a721695.sm8b8a721695{height:1em;vertical-align:-0.25em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm9123b52376.sm9123b52376.sm9123b52376.sm9123b52376{height:0.656em;vertical-align:baseline;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm92c26f043d.sm92c26f043d.sm92c26f043d.sm92c26f043d{top:-2.864em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm92f349cd39.sm92f349cd39.sm92f349cd39.sm92f349cd39{height:1.148em;vertical-align:-0.25em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm9750c56eb8.sm9750c56eb8.sm9750c56eb8.sm9750c56eb8{margin-right:0.056em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm9d08ab3c4e.sm9d08ab3c4e.sm9d08ab3c4e.sm9d08ab3c4e{height:0.898em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm9ddc99d8d6.sm9ddc99d8d6.sm9ddc99d8d6.sm9ddc99d8d6{top:-2.794em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sma89f5e26ee.sma89f5e26ee.sma89f5e26ee.sma89f5e26ee{height:0.662em;vertical-align:-0.012em;}
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