/* 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] .sm0088c98a0b.sm0088c98a0b.sm0088c98a0b.sm0088c98a0b{height:0.9779em;}
[data-site-math] .sm0681882246.sm0681882246.sm0681882246.sm0681882246{min-width:1.02em;height:1.28em;}
[data-site-math] .sm0811999173.sm0811999173.sm0811999173.sm0811999173{height:0.5155em;}
[data-site-math] .sm087bab16d3.sm087bab16d3.sm087bab16d3.sm087bab16d3{height:1.84em;vertical-align:-0.5155em;}
[data-site-math] .sm098df971cf.sm098df971cf.sm098df971cf.sm098df971cf{height:0.929em;}
[data-site-math] .sm0bd64baa3e.sm0bd64baa3e.sm0bd64baa3e.sm0bd64baa3e{height:0.935em;}
[data-site-math] .sm0cf56756a9.sm0cf56756a9.sm0cf56756a9.sm0cf56756a9{height:0.792em;vertical-align:-0.136em;}
[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] .sm0e85458e4d.sm0e85458e4d.sm0e85458e4d.sm0e85458e4d{height:0.834em;}
[data-site-math] .sm0ee63622a3.sm0ee63622a3.sm0ee63622a3.sm0ee63622a3{height:0.8924em;}
[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] .sm128ea58241.sm128ea58241.sm128ea58241.sm128ea58241{padding-left:1em;}
[data-site-math] .sm18015497fa.sm18015497fa.sm18015497fa.sm18015497fa{height:0.73em;vertical-align:-0.012em;}
[data-site-math] .sm186faf6599.sm186faf6599.sm186faf6599.sm186faf6599{top:-3.2em;}
[data-site-math] .sm1901848c07.sm1901848c07.sm1901848c07.sm1901848c07{height:0.6741em;}
[data-site-math] .sm1c9fc1839c.sm1c9fc1839c.sm1c9fc1839c.sm1c9fc1839c{top:-3.8em;}
[data-site-math] .sm1debbd904d.sm1debbd904d.sm1debbd904d.sm1debbd904d{height:1.3503em;}
[data-site-math] .sm1e663386b4.sm1e663386b4.sm1e663386b4.sm1e663386b4{height:0.6861em;vertical-align:-0.012em;}
[data-site-math] .sm2325cc1d9e.sm2325cc1d9e.sm2325cc1d9e.sm2325cc1d9e{height:0.518em;vertical-align:-0.006em;}
[data-site-math] .sm2450c373bc.sm2450c373bc.sm2450c373bc.sm2450c373bc{height:1.84em;vertical-align:-0.4897em;}
[data-site-math] .sm2e2820c367.sm2e2820c367.sm2e2820c367.sm2e2820c367{top:-2.895em;}
[data-site-math] .sm2fe25d30b3.sm2fe25d30b3.sm2fe25d30b3.sm2fe25d30b3{margin-right:0.0556em;}
[data-site-math] .sm337586cfb7.sm337586cfb7.sm337586cfb7.sm337586cfb7{height:0.7511em;vertical-align:-0.0391em;}
[data-site-math] .sm337804602d.sm337804602d.sm337804602d.sm337804602d{top:-3.063em;margin-right:0.05em;}
[data-site-math] .sm42fbdf3d22.sm42fbdf3d22.sm42fbdf3d22.sm42fbdf3d22{height:2.087em;vertical-align:-0.698em;}
[data-site-math] .sm446603e201.sm446603e201.sm446603e201.sm446603e201{height:1.2374em;vertical-align:-0.345em;}
[data-site-math] .sm478668aeb3.sm478668aeb3.sm478668aeb3.sm478668aeb3{height:1.04em;vertical-align:-0.206em;}
[data-site-math] .sm54c769b784.sm54c769b784.sm54c769b784.sm54c769b784{height:0.786em;vertical-align:-0.136em;}
[data-site-math] .sm59b058f386.sm59b058f386.sm59b058f386.sm59b058f386{top:-2.9379em;}
[data-site-math] .sm5c8a02c60f.sm5c8a02c60f.sm5c8a02c60f.sm5c8a02c60f{margin-right:0.2778em;}
[data-site-math] .sm61787f1bb6.sm61787f1bb6.sm61787f1bb6.sm61787f1bb6{top:-3.3103em;}
[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] .sm6cd336bb74.sm6cd336bb74.sm6cd336bb74.sm6cd336bb74{top:-2.314em;}
[data-site-math] .sm6e777fadd8.sm6e777fadd8.sm6e777fadd8.sm6e777fadd8{top:-3.23em;}
[data-site-math] .sm789e172328.sm789e172328.sm789e172328.sm789e172328{height:3.8em;}
[data-site-math] .sm7a4407e358.sm7a4407e358.sm7a4407e358.sm7a4407e358{margin-right:0.078em;}
[data-site-math] .sm7b21160fbe.sm7b21160fbe.sm7b21160fbe.sm7b21160fbe{top:-2.794em;}
[data-site-math] .sm7c39a5d76e.sm7c39a5d76e.sm7c39a5d76e.sm7c39a5d76e{height:0.345em;}
[data-site-math] .sm7d5af5c123.sm7d5af5c123.sm7d5af5c123.sm7d5af5c123{height:0.111em;}
[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] .sm7ff550d038.sm7ff550d038.sm7ff550d038.sm7ff550d038{height:1.185em;vertical-align:-0.25em;}
[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] .sm84ca44e90c.sm84ca44e90c.sm84ca44e90c.sm84ca44e90c{height:0.698em;}
[data-site-math] .sm87cea9d33c.sm87cea9d33c.sm87cea9d33c.sm87cea9d33c{height:0.8444em;vertical-align:-0.1944em;}
[data-site-math] .sm8c10249a7a.sm8c10249a7a.sm8c10249a7a.sm8c10249a7a{height:0.724em;vertical-align:-0.012em;}
[data-site-math] .sm90258988b6.sm90258988b6.sm90258988b6.sm90258988b6{margin-right:0.2222em;}
[data-site-math] .sm9129084084.sm9129084084.sm9129084084.sm9129084084{top:-3.394em;}
[data-site-math] .sm9346aa86bd.sm9346aa86bd.sm9346aa86bd.sm9346aa86bd{height:0.518em;vertical-align:-0.006em;}
[data-site-math] .sm97276a7887.sm97276a7887.sm97276a7887.sm97276a7887{margin-right:0.1667em;}
[data-site-math] .sm9791daa026.sm9791daa026.sm9791daa026.sm9791daa026{height:1.3245em;}
[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] .smac2f19d04b.smac2f19d04b.smac2f19d04b.smac2f19d04b{height:1.389em;}
[data-site-math] .smae5d8123e2.smae5d8123e2.smae5d8123e2.smae5d8123e2{margin-right:0em;}
[data-site-math] .smb4573925d8.smb4573925d8.smb4573925d8.smb4573925d8{height:0.498em;}
[data-site-math] .smb51bf56ec7.smb51bf56ec7.smb51bf56ec7.smb51bf56ec7{height:0.4897em;}
[data-site-math] .smb662e0ae20.smb662e0ae20.smb662e0ae20.smb662e0ae20{min-width:1.02em;height:1.88em;}
[data-site-math] .smb67ac070ad.smb67ac070ad.smb67ac070ad.smb67ac070ad{height:0.65em;}
[data-site-math] .smb978c0664c.smb978c0664c.smb978c0664c.smb978c0664c{height:1.327em;}
[data-site-math] .smbb13247f76.smbb13247f76.smbb13247f76.smbb13247f76{border-bottom-width:0.04em;}
[data-site-math] .smc62c5475ce.smc62c5475ce.smc62c5475ce.smc62c5475ce{height:0.977em;}
[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] .smd7f4b03f73.smd7f4b03f73.smd7f4b03f73.smd7f4b03f73{height:2.025em;vertical-align:-0.698em;}
[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] .sme852f60793.sme852f60793.sme852f60793.sme852f60793{height:0em;}
[data-site-math] .sme8cda47ea5.sme8cda47ea5.sme8cda47ea5.sme8cda47ea5{top:-2.889em;}
[data-site-math] .smf1b38fd0a5.smf1b38fd0a5.smf1b38fd0a5.smf1b38fd0a5{height:0.0621em;}
[data-site-math] .smf38c9fbf95.smf38c9fbf95.smf38c9fbf95.smf38c9fbf95{height:0.836em;vertical-align:-0.136em;}
[data-site-math] .smfda98d0438.smfda98d0438.smfda98d0438.smfda98d0438{top:-3.2845em;}
[data-site-math] .smfdb96e7f1e.smfdb96e7f1e.smfdb96e7f1e.smfdb96e7f1e{padding-left:0.833em;}
[data-site-math] .smff33720eb4.smff33720eb4.smff33720eb4.smff33720eb4{top:-3.677em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm0088c98a0b.sm0088c98a0b.sm0088c98a0b.sm0088c98a0b{height:0.9619em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm0811999173.sm0811999173.sm0811999173.sm0811999173{height:0.5235em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm087bab16d3.sm087bab16d3.sm087bab16d3.sm087bab16d3{height:1.84em;vertical-align:-0.5235em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm098df971cf.sm098df971cf.sm098df971cf.sm098df971cf{height:0.913em;}
: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"]) .sm0cf56756a9.sm0cf56756a9.sm0cf56756a9.sm0cf56756a9{height:0.792em;vertical-align:-0.136em;}
: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"]) .sm0e85458e4d.sm0e85458e4d.sm0e85458e4d.sm0e85458e4d{height:0.834em;}
: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"]) .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"]) .sm1debbd904d.sm1debbd904d.sm1debbd904d.sm1debbd904d{height:1.3423em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm1e663386b4.sm1e663386b4.sm1e663386b4.sm1e663386b4{height:0.6861em;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"]) .sm2450c373bc.sm2450c373bc.sm2450c373bc.sm2450c373bc{height:1.84em;vertical-align:-0.4977em;}
: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"]) .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"]) .sm42fbdf3d22.sm42fbdf3d22.sm42fbdf3d22.sm42fbdf3d22{height:2.087em;vertical-align:-0.698em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm446603e201.sm446603e201.sm446603e201.sm446603e201{height:1.1856em;vertical-align:-0.345em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm478668aeb3.sm478668aeb3.sm478668aeb3.sm478668aeb3{height:1.04em;vertical-align:-0.206em;}
: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"]) .sm59b058f386.sm59b058f386.sm59b058f386.sm59b058f386{top:-2.9219em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm61787f1bb6.sm61787f1bb6.sm61787f1bb6.sm61787f1bb6{top:-3.3023em;}
: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"]) .sm7a4407e358.sm7a4407e358.sm7a4407e358.sm7a4407e358{margin-right:0em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm7b21160fbe.sm7b21160fbe.sm7b21160fbe.sm7b21160fbe{top:-2.794em;}
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