/* 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] .sm0d0637ddb7.sm0d0637ddb7.sm0d0637ddb7.sm0d0637ddb7{height:0.767em;vertical-align:-0.012em;}
[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] .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] .sm3ab3cb8942.sm3ab3cb8942.sm3ab3cb8942.sm3ab3cb8942{height:0.8614em;}
[data-site-math] .sm40dd4dcd2d.sm40dd4dcd2d.sm40dd4dcd2d.sm40dd4dcd2d{top:-2.9165em;}
[data-site-math] .sm469c8e8cd4.sm469c8e8cd4.sm469c8e8cd4.sm469c8e8cd4{height:0.656em;}
[data-site-math] .sm4aa14e6b1c.sm4aa14e6b1c.sm4aa14e6b1c.sm4aa14e6b1c{height:1.1114em;vertical-align:-0.25em;}
[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] .sm705ba9968c.sm705ba9968c.sm705ba9968c.sm705ba9968c{height:0.524em;vertical-align:-0.012em;}
[data-site-math] .sm763f24e19b.sm763f24e19b.sm763f24e19b.sm763f24e19b{height:0.712em;}
[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] .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] .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] .sma2e34d33e3.sma2e34d33e3.sma2e34d33e3.sma2e34d33e3{height:0.7007em;vertical-align:-0.012em;}
[data-site-math] .smb38b7ebe37.smb38b7ebe37.smb38b7ebe37.smb38b7ebe37{margin-right:0.056em;}
[data-site-math] .smcb23e0a0df.smcb23e0a0df.smcb23e0a0df.smcb23e0a0df{min-width:0.853em;height:1.08em;}
[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] .smec52af48d6.smec52af48d6.smec52af48d6.smec52af48d6{margin-right:0.014em;}
[data-site-math] .smed8dae9281.smed8dae9281.smed8dae9281.smed8dae9281{height:0.7639em;vertical-align:-0.012em;}
[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"]) .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"]) .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"]) .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"]) .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"]) .sm469c8e8cd4.sm469c8e8cd4.sm469c8e8cd4.sm469c8e8cd4{height:0.656em;}
: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"]) .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"]) .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"]) .sm763f24e19b.sm763f24e19b.sm763f24e19b.sm763f24e19b{height:0.638em;}
: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"]) .sm8b8a721695.sm8b8a721695.sm8b8a721695.sm8b8a721695{height:1em;vertical-align:-0.25em;}
: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"]) .sma2e34d33e3.sma2e34d33e3.sma2e34d33e3.sma2e34d33e3{height:0.7007em;vertical-align:-0.012em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .smb38b7ebe37.smb38b7ebe37.smb38b7ebe37.smb38b7ebe37{margin-right:0.056em;}
: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"]) .smec52af48d6.smec52af48d6.smec52af48d6.smec52af48d6{margin-right:0em;}
: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="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .sm0d0637ddb7.sm0d0637ddb7.sm0d0637ddb7.sm0d0637ddb7{height:0.6444em;vertical-align:baseline;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .sm2325cc1d9e.sm2325cc1d9e.sm2325cc1d9e.sm2325cc1d9e{height:0.4306em;vertical-align:baseline;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .sm29c2a574ef.sm29c2a574ef.sm29c2a574ef.sm29c2a574ef{height:0.6741em;vertical-align:baseline;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .sm2fbcd1c2a8.sm2fbcd1c2a8.sm2fbcd1c2a8.sm2fbcd1c2a8{height:0.7278em;vertical-align:-0.0833em;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .sm3ab3cb8942.sm3ab3cb8942.sm3ab3cb8942.sm3ab3cb8942{height:0.8141em;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .sm40dd4dcd2d.sm40dd4dcd2d.sm40dd4dcd2d.sm40dd4dcd2d{top:-2.8672em;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .sm469c8e8cd4.sm469c8e8cd4.sm469c8e8cd4.sm469c8e8cd4{height:0.6833em;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .sm4aa14e6b1c.sm4aa14e6b1c.sm4aa14e6b1c.sm4aa14e6b1c{height:1.0641em;vertical-align:-0.25em;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .sm5a897d9e5a.sm5a897d9e5a.sm5a897d9e5a.sm5a897d9e5a{height:0.6833em;vertical-align:baseline;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .sm705ba9968c.sm705ba9968c.sm705ba9968c.sm705ba9968c{height:0.4306em;vertical-align:baseline;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .sm763f24e19b.sm763f24e19b.sm763f24e19b.sm763f24e19b{height:0.6444em;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .sm8389c55b23.sm8389c55b23.sm8389c55b23.sm8389c55b23{height:0.6444em;vertical-align:baseline;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .sm8b8a721695.sm8b8a721695.sm8b8a721695.sm8b8a721695{height:1em;vertical-align:-0.25em;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .sm92f349cd39.sm92f349cd39.sm92f349cd39.sm92f349cd39{height:1.1572em;vertical-align:-0.25em;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .sm9d08ab3c4e.sm9d08ab3c4e.sm9d08ab3c4e.sm9d08ab3c4e{height:0.9072em;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .sma2e34d33e3.sma2e34d33e3.sma2e34d33e3.sma2e34d33e3{height:0.6887em;vertical-align:baseline;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .smb38b7ebe37.smb38b7ebe37.smb38b7ebe37.smb38b7ebe37{margin-right:0.1389em;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .sme3209ebdce.sme3209ebdce.sme3209ebdce.sme3209ebdce{height:0.1328em;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .smec52af48d6.smec52af48d6.smec52af48d6.smec52af48d6{margin-right:0em;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .smed8dae9281.smed8dae9281.smed8dae9281.smed8dae9281{height:0.7519em;vertical-align:baseline;}