/* 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] .sm0cbf1c2b02.sm0cbf1c2b02.sm0cbf1c2b02.sm0cbf1c2b02{margin-right:0.029em;}
[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] .sm0ee63622a3.sm0ee63622a3.sm0ee63622a3.sm0ee63622a3{height:0.8924em;}
[data-site-math] .sm11c60514aa.sm11c60514aa.sm11c60514aa.sm11c60514aa{height:0.7519em;}
[data-site-math] .sm1901848c07.sm1901848c07.sm1901848c07.sm1901848c07{height:0.6741em;}
[data-site-math] .sm2325cc1d9e.sm2325cc1d9e.sm2325cc1d9e.sm2325cc1d9e{height:0.518em;vertical-align:-0.006em;}
[data-site-math] .sm29c2a574ef.sm29c2a574ef.sm29c2a574ef.sm29c2a574ef{height:0.724em;vertical-align:-0.012em;}
[data-site-math] .sm2e4168d437.sm2e4168d437.sm2e4168d437.sm2e4168d437{height:0.142em;}
[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] .sm3672abf2e6.sm3672abf2e6.sm3672abf2e6.sm3672abf2e6{top:-2.858em;}
[data-site-math] .sm3926e87bb6.sm3926e87bb6.sm3926e87bb6.sm3926e87bb6{height:0.898em;}
[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] .sm41aeb11ee9.sm41aeb11ee9.sm41aeb11ee9.sm41aeb11ee9{height:0.51em;vertical-align:-0.012em;}
[data-site-math] .sm44b6c43508.sm44b6c43508.sm44b6c43508.sm44b6c43508{height:0.68em;vertical-align:-0.012em;}
[data-site-math] .sm4aa14e6b1c.sm4aa14e6b1c.sm4aa14e6b1c.sm4aa14e6b1c{height:1.1114em;vertical-align:-0.25em;}
[data-site-math] .sm52634f35b8.sm52634f35b8.sm52634f35b8.sm52634f35b8{top:-2.901em;}
[data-site-math] .sm5a897d9e5a.sm5a897d9e5a.sm5a897d9e5a.sm5a897d9e5a{height:0.724em;vertical-align:-0.012em;}
[data-site-math] .sm5c8a02c60f.sm5c8a02c60f.sm5c8a02c60f.sm5c8a02c60f{margin-right:0.2778em;}
[data-site-math] .sm5d5180b2da.sm5d5180b2da.sm5d5180b2da.sm5d5180b2da{height:1.1415em;vertical-align:-0.25em;}
[data-site-math] .sm6e777fadd8.sm6e777fadd8.sm6e777fadd8.sm6e777fadd8{top:-3.23em;}
[data-site-math] .sm705ba9968c.sm705ba9968c.sm705ba9968c.sm705ba9968c{height:0.524em;vertical-align:-0.012em;}
[data-site-math] .sm734aa80d66.sm734aa80d66.sm734aa80d66.sm734aa80d66{height:1.286em;vertical-align:-0.345em;}
[data-site-math] .sm763f24e19b.sm763f24e19b.sm763f24e19b.sm763f24e19b{height:0.712em;}
[data-site-math] .sm7c39a5d76e.sm7c39a5d76e.sm7c39a5d76e.sm7c39a5d76e{height:0.345em;}
[data-site-math] .sm7e0eab08c9.sm7e0eab08c9.sm7e0eab08c9.sm7e0eab08c9{height:1.191em;vertical-align:-0.25em;}
[data-site-math] .sm8389c55b23.sm8389c55b23.sm8389c55b23.sm8389c55b23{height:0.662em;vertical-align:-0.012em;}
[data-site-math] .sm83fe5b2cfb.sm83fe5b2cfb.sm83fe5b2cfb.sm83fe5b2cfb{height:3em;}
[data-site-math] .sm90258988b6.sm90258988b6.sm90258988b6.sm90258988b6{margin-right:0.2222em;}
[data-site-math] .sm9129084084.sm9129084084.sm9129084084.sm9129084084{top:-3.394em;}
[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] .sm9aefcba848.sm9aefcba848.sm9aefcba848.sm9aefcba848{top:-3em;}
[data-site-math] .sm9d08ab3c4e.sm9d08ab3c4e.sm9d08ab3c4e.sm9d08ab3c4e{height:0.9565em;}
[data-site-math] .sma3f8b8f8c3.sma3f8b8f8c3.sma3f8b8f8c3.sma3f8b8f8c3{height:0.718em;vertical-align:-0.006em;}
[data-site-math] .sma89f5e26ee.sma89f5e26ee.sma89f5e26ee.sma89f5e26ee{height:0.712em;vertical-align:-0.012em;}
[data-site-math] .smbb13247f76.smbb13247f76.smbb13247f76.smbb13247f76{border-bottom-width:0.04em;}
[data-site-math] .smc796ccc3c4.smc796ccc3c4.smc796ccc3c4.smc796ccc3c4{top:-2.655em;}
[data-site-math] .smcb23e0a0df.smcb23e0a0df.smcb23e0a0df.smcb23e0a0df{min-width:0.853em;height:1.08em;}
[data-site-math] .smcc8d560eb0.smcc8d560eb0.smcc8d560eb0.smcc8d560eb0{margin-right:0.034em;}
[data-site-math] .smcd13bc2cd5.smcd13bc2cd5.smcd13bc2cd5.smcd13bc2cd5{height:1.148em;vertical-align:-0.25em;}
[data-site-math] .smcf96aabb1f.smcf96aabb1f.smcf96aabb1f.smcf96aabb1f{height:0.941em;}
[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] .sme5504a4a33.sme5504a4a33.sme5504a4a33.sme5504a4a33{height:0.8915em;}
[data-site-math] .sme78177e323.sme78177e323.sme78177e323.sme78177e323{height:0.8614em;}
[data-site-math] .smec5a52ccae.smec5a52ccae.smec5a52ccae.smec5a52ccae{height:0.7333em;vertical-align:-0.0833em;}
[data-site-math] .smecf89ba7a5.smecf89ba7a5.smecf89ba7a5.smecf89ba7a5{height:0.7833em;vertical-align:-0.0833em;}
[data-site-math] .smed8dae9281.smed8dae9281.smed8dae9281.smed8dae9281{height:0.7639em;vertical-align:-0.012em;}
[data-site-math] .smf357d1fe79.smf357d1fe79.smf357d1fe79.smf357d1fe79{margin-right:0.036em;}
[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"]) .sm0cbf1c2b02.sm0cbf1c2b02.sm0cbf1c2b02.sm0cbf1c2b02{margin-right:0.007em;}
: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"]) .sm0ee63622a3.sm0ee63622a3.sm0ee63622a3.sm0ee63622a3{height:0.8406em;}
: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"]) .sm29c2a574ef.sm29c2a574ef.sm29c2a574ef.sm29c2a574ef{height:0.6861em;vertical-align:-0.012em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm2e4168d437.sm2e4168d437.sm2e4168d437.sm2e4168d437{height:0.142em;}
: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"]) .sm3672abf2e6.sm3672abf2e6.sm3672abf2e6.sm3672abf2e6{top:-2.858em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm3926e87bb6.sm3926e87bb6.sm3926e87bb6.sm3926e87bb6{height:0.898em;}
: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"]) .sm3fd119a092.sm3fd119a092.sm3fd119a092.sm3fd119a092{height:0.13em;}
: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"]) .sm41aeb11ee9.sm41aeb11ee9.sm41aeb11ee9.sm41aeb11ee9{height:0.51em;vertical-align:-0.012em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm44b6c43508.sm44b6c43508.sm44b6c43508.sm44b6c43508{height:0.68em;vertical-align:-0.012em;}
: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"]) .sm52634f35b8.sm52634f35b8.sm52634f35b8.sm52634f35b8{top:-2.87em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm5a897d9e5a.sm5a897d9e5a.sm5a897d9e5a.sm5a897d9e5a{height:0.68em;vertical-align:-0.012em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm5d5180b2da.sm5d5180b2da.sm5d5180b2da.sm5d5180b2da{height:1.0596em;vertical-align:-0.25em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm705ba9968c.sm705ba9968c.sm705ba9968c.sm705ba9968c{height:0.51em;vertical-align:-0.012em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm734aa80d66.sm734aa80d66.sm734aa80d66.sm734aa80d66{height:1.255em;vertical-align:-0.345em;}
: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"]) .sm7e0eab08c9.sm7e0eab08c9.sm7e0eab08c9.sm7e0eab08c9{height:1.16em;vertical-align:-0.25em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm8389c55b23.sm8389c55b23.sm8389c55b23.sm8389c55b23{height:0.662em;vertical-align:-0.012em;}
: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"]) .sm9d08ab3c4e.sm9d08ab3c4e.sm9d08ab3c4e.sm9d08ab3c4e{height:0.898em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sma3f8b8f8c3.sma3f8b8f8c3.sma3f8b8f8c3.sma3f8b8f8c3{height:0.65em;vertical-align:baseline;}
: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;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .smcc8d560eb0.smcc8d560eb0.smcc8d560eb0.smcc8d560eb0{margin-right:0.005em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .smcd13bc2cd5.smcd13bc2cd5.smcd13bc2cd5.smcd13bc2cd5{height:1.148em;vertical-align:-0.25em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .smcf96aabb1f.smcf96aabb1f.smcf96aabb1f.smcf96aabb1f{height:0.91em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sme3209ebdce.sme3209ebdce.sme3209ebdce.sme3209ebdce{height:0.142em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sme5504a4a33.sme5504a4a33.sme5504a4a33.sme5504a4a33{height:0.8096em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sme78177e323.sme78177e323.sme78177e323.sme78177e323{height:0.8096em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .smec5a52ccae.smec5a52ccae.smec5a52ccae.smec5a52ccae{height:0.7333em;vertical-align:-0.0833em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .smecf89ba7a5.smecf89ba7a5.smecf89ba7a5.smecf89ba7a5{height:0.7333em;vertical-align:-0.0833em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .smed8dae9281.smed8dae9281.smed8dae9281.smed8dae9281{height:0.7639em;vertical-align:-0.012em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .smf357d1fe79.smf357d1fe79.smf357d1fe79.smf357d1fe79{margin-right:0em;}
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