/* 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] .sm0681882246.sm0681882246.sm0681882246.sm0681882246{min-width:1.02em;height:1.28em;}
[data-site-math] .sm0e85458e4d.sm0e85458e4d.sm0e85458e4d.sm0e85458e4d{height:0.834em;}
[data-site-math] .sm110a3e53a2.sm110a3e53a2.sm110a3e53a2.sm110a3e53a2{height:0.7719em;vertical-align:-0.136em;}
[data-site-math] .sm128ea58241.sm128ea58241.sm128ea58241.sm128ea58241{padding-left:1em;}
[data-site-math] .sm186faf6599.sm186faf6599.sm186faf6599.sm186faf6599{top:-3.2em;}
[data-site-math] .sm2fe25d30b3.sm2fe25d30b3.sm2fe25d30b3.sm2fe25d30b3{margin-right:0.0556em;}
[data-site-math] .sm3112077e74.sm3112077e74.sm3112077e74.sm3112077e74{margin-right:0em;}
[data-site-math] .sm337586cfb7.sm337586cfb7.sm337586cfb7.sm337586cfb7{height:0.7511em;vertical-align:-0.0391em;}
[data-site-math] .sm54c769b784.sm54c769b784.sm54c769b784.sm54c769b784{height:0.786em;vertical-align:-0.136em;}
[data-site-math] .sm5c8a02c60f.sm5c8a02c60f.sm5c8a02c60f.sm5c8a02c60f{margin-right:0.2778em;}
[data-site-math] .sm6b8b69b826.sm6b8b69b826.sm6b8b69b826.sm6b8b69b826{height:0.263em;}
[data-site-math] .sm6cb0ad1b64.sm6cb0ad1b64.sm6cb0ad1b64.sm6cb0ad1b64{height:0.5782em;vertical-align:-0.0391em;}
[data-site-math] .sm77d36e312e.sm77d36e312e.sm77d36e312e.sm77d36e312e{height:0.1986em;}
[data-site-math] .sm7b21160fbe.sm7b21160fbe.sm7b21160fbe.sm7b21160fbe{top:-2.794em;}
[data-site-math] .sm7dae81ad6a.sm7dae81ad6a.sm7dae81ad6a.sm7dae81ad6a{height:0.774em;vertical-align:-0.136em;}
[data-site-math] .sm7db12e9924.sm7db12e9924.sm7db12e9924.sm7db12e9924{height:0.206em;}
[data-site-math] .sm80b9a62489.sm80b9a62489.sm80b9a62489.sm80b9a62489{top:-2.937em;}
[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] .sm97276a7887.sm97276a7887.sm97276a7887.sm97276a7887{margin-right:0.1667em;}
[data-site-math] .sm9aefcba848.sm9aefcba848.sm9aefcba848.sm9aefcba848{top:-3em;}
[data-site-math] .sma3d9416753.sma3d9416753.sma3d9416753.sma3d9416753{height:1.24em;vertical-align:-0.263em;}
[data-site-math] .sma8664ca31c.sma8664ca31c.sma8664ca31c.sma8664ca31c{height:3.2em;}
[data-site-math] .smb34bc45fd2.smb34bc45fd2.smb34bc45fd2.smb34bc45fd2{top:-2.55em;margin-left:0em;margin-right:0.05em;}
[data-site-math] .smb4573925d8.smb4573925d8.smb4573925d8.smb4573925d8{height:0.498em;}
[data-site-math] .smb67ac070ad.smb67ac070ad.smb67ac070ad.smb67ac070ad{height:0.65em;}
[data-site-math] .smbfe39a5db6.smbfe39a5db6.smbfe39a5db6.smbfe39a5db6{height:0.15em;}
[data-site-math] .smc62c5475ce.smc62c5475ce.smc62c5475ce.smc62c5475ce{height:0.977em;}
[data-site-math] .smcb23e0a0df.smcb23e0a0df.smcb23e0a0df.smcb23e0a0df{min-width:0.853em;height:1.08em;}
[data-site-math] .smd3ccd4a229.smd3ccd4a229.smd3ccd4a229.smd3ccd4a229{height:0.818em;vertical-align:-0.15em;}
[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] .smdb161c0c8b.smdb161c0c8b.smdb161c0c8b.smdb161c0c8b{height:0.638em;}
[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"]) .sm0e85458e4d.sm0e85458e4d.sm0e85458e4d.sm0e85458e4d{height:0.834em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm3112077e74.sm3112077e74.sm3112077e74.sm3112077e74{margin-right:0em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm337586cfb7.sm337586cfb7.sm337586cfb7.sm337586cfb7{height:0.7511em;vertical-align:-0.0391em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm54c769b784.sm54c769b784.sm54c769b784.sm54c769b784{height:0.786em;vertical-align:-0.136em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm6b8b69b826.sm6b8b69b826.sm6b8b69b826.sm6b8b69b826{height:0.263em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm77d36e312e.sm77d36e312e.sm77d36e312e.sm77d36e312e{height:0.1986em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm7b21160fbe.sm7b21160fbe.sm7b21160fbe.sm7b21160fbe{top:-2.794em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm7dae81ad6a.sm7dae81ad6a.sm7dae81ad6a.sm7dae81ad6a{height:0.774em;vertical-align:-0.136em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm7db12e9924.sm7db12e9924.sm7db12e9924.sm7db12e9924{height:0.206em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm80b9a62489.sm80b9a62489.sm80b9a62489.sm80b9a62489{top:-2.937em;}
: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"]) .sma3d9416753.sma3d9416753.sma3d9416753.sma3d9416753{height:1.24em;vertical-align:-0.263em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .smb34bc45fd2.smb34bc45fd2.smb34bc45fd2.smb34bc45fd2{top:-2.55em;margin-left:0em;margin-right:0.05em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .smb4573925d8.smb4573925d8.smb4573925d8.smb4573925d8{height:0.498em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .smb67ac070ad.smb67ac070ad.smb67ac070ad.smb67ac070ad{height:0.65em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .smc62c5475ce.smc62c5475ce.smc62c5475ce.smc62c5475ce{height:0.977em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .smd3ccd4a229.smd3ccd4a229.smd3ccd4a229.smd3ccd4a229{height:0.818em;vertical-align:-0.15em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .smdb161c0c8b.smdb161c0c8b.smdb161c0c8b.smdb161c0c8b{height:0.638em;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .sm0e85458e4d.sm0e85458e4d.sm0e85458e4d.sm0e85458e4d{height:0.8003em;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .sm3112077e74.sm3112077e74.sm3112077e74.sm3112077e74{margin-right:0.0576em;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .sm337586cfb7.sm337586cfb7.sm337586cfb7.sm337586cfb7{height:0.7335em;vertical-align:-0.0391em;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .sm54c769b784.sm54c769b784.sm54c769b784.sm54c769b784{height:0.7804em;vertical-align:-0.136em;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .sm6b8b69b826.sm6b8b69b826.sm6b8b69b826.sm6b8b69b826{height:0.2799em;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .sm77d36e312e.sm77d36e312e.sm77d36e312e.sm77d36e312e{height:0.1514em;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .sm7b21160fbe.sm7b21160fbe.sm7b21160fbe.sm7b21160fbe{top:-2.7603em;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .sm7dae81ad6a.sm7dae81ad6a.sm7dae81ad6a.sm7dae81ad6a{height:0.7804em;vertical-align:-0.136em;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .sm7db12e9924.sm7db12e9924.sm7db12e9924.sm7db12e9924{height:0.2397em;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .sm80b9a62489.sm80b9a62489.sm80b9a62489.sm80b9a62489{top:-2.9201em;}
: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]) .sma3d9416753.sma3d9416753.sma3d9416753.sma3d9416753{height:1.24em;vertical-align:-0.2799em;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .smb34bc45fd2.smb34bc45fd2.smb34bc45fd2.smb34bc45fd2{top:-2.55em;margin-left:-0.0576em;margin-right:0.05em;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .smb4573925d8.smb4573925d8.smb4573925d8.smb4573925d8{height:0.4306em;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .smb67ac070ad.smb67ac070ad.smb67ac070ad.smb67ac070ad{height:0.6444em;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .smc62c5475ce.smc62c5475ce.smc62c5475ce.smc62c5475ce{height:0.9601em;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .smd3ccd4a229.smd3ccd4a229.smd3ccd4a229.smd3ccd4a229{height:0.8333em;vertical-align:-0.15em;}
:is([data-site-math="katex"], [data-kpress-font-set="system"] [data-site-math], .kpress[data-kpress-fonts="system"] [data-site-math]) .smdb161c0c8b.smdb161c0c8b.smdb161c0c8b.smdb161c0c8b{height:0.6444em;}