/* 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] .sm0355336489.sm0355336489.sm0355336489.sm0355336489{height:0.91em;}
[data-site-math] .sm06f960f3ec.sm06f960f3ec.sm06f960f3ec.sm06f960f3ec{height:0.6887em;}
[data-site-math] .sm0cf56756a9.sm0cf56756a9.sm0cf56756a9.sm0cf56756a9{height:0.792em;vertical-align:-0.136em;}
[data-site-math] .sm0e6881478a.sm0e6881478a.sm0e6881478a.sm0e6881478a{height:0.724em;vertical-align:-0.012em;}
[data-site-math] .sm110a3e53a2.sm110a3e53a2.sm110a3e53a2.sm110a3e53a2{height:0.7719em;vertical-align:-0.136em;}
[data-site-math] .sm13f0bdeb9b.sm13f0bdeb9b.sm13f0bdeb9b.sm13f0bdeb9b{height:0.904em;}
[data-site-math] .sm13f1f7ff83.sm13f1f7ff83.sm13f1f7ff83.sm13f1f7ff83{top:-2.87em;}
[data-site-math] .sm1901848c07.sm1901848c07.sm1901848c07.sm1901848c07{height:0.6741em;}
[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] .sm28bf52498b.sm28bf52498b.sm28bf52498b.sm28bf52498b{height:0.8096em;}
[data-site-math] .sm2e74db8733.sm2e74db8733.sm2e74db8733.sm2e74db8733{margin-right:0.017em;}
[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] .sm3112077e74.sm3112077e74.sm3112077e74.sm3112077e74{margin-right:0em;}
[data-site-math] .sm31e2340d5f.sm31e2340d5f.sm31e2340d5f.sm31e2340d5f{height:1.068em;vertical-align:-0.25em;}
[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] .sm3b23af7886.sm3b23af7886.sm3b23af7886.sm3b23af7886{height:0.1584em;}
[data-site-math] .sm43a277d51b.sm43a277d51b.sm43a277d51b.sm43a277d51b{height:0.136em;}
[data-site-math] .sm469c8e8cd4.sm469c8e8cd4.sm469c8e8cd4.sm469c8e8cd4{height:0.656em;}
[data-site-math] .sm46e7cef096.sm46e7cef096.sm46e7cef096.sm46e7cef096{height:0.13em;}
[data-site-math] .sm4f89bc9975.sm4f89bc9975.sm4f89bc9975.sm4f89bc9975{height:0.668em;vertical-align:-0.012em;}
[data-site-math] .sm5566b7a413.sm5566b7a413.sm5566b7a413.sm5566b7a413{top:-2.864em;}
[data-site-math] .sm59e94218a9.sm59e94218a9.sm59e94218a9.sm59e94218a9{height:1.16em;vertical-align:-0.25em;}
[data-site-math] .sm5c8a02c60f.sm5c8a02c60f.sm5c8a02c60f.sm5c8a02c60f{margin-right:0.2778em;}
[data-site-math] .sm627bf665fa.sm627bf665fa.sm627bf665fa.sm627bf665fa{margin-right:0.0306em;}
[data-site-math] .sm674255ee98.sm674255ee98.sm674255ee98.sm674255ee98{margin-right:0em;}
[data-site-math] .sm67ad421c46.sm67ad421c46.sm67ad421c46.sm67ad421c46{height:0.712em;}
[data-site-math] .sm68709c9e8c.sm68709c9e8c.sm68709c9e8c.sm68709c9e8c{height:1.154em;vertical-align:-0.25em;}
[data-site-math] .sm6da7bead5a.sm6da7bead5a.sm6da7bead5a.sm6da7bead5a{height:0.305em;}
[data-site-math] .sm74be616593.sm74be616593.sm74be616593.sm74be616593{height:0.65em;vertical-align:-0.012em;}
[data-site-math] .sm763f24e19b.sm763f24e19b.sm763f24e19b.sm763f24e19b{height:0.712em;}
[data-site-math] .sm792290f2b5.sm792290f2b5.sm792290f2b5.sm792290f2b5{height:0.4951em;}
[data-site-math] .sm7b3fda3fec.sm7b3fda3fec.sm7b3fda3fec.sm7b3fda3fec{height:0.6951em;vertical-align:-0.0391em;}
[data-site-math] .sm7ea9acb1f7.sm7ea9acb1f7.sm7ea9acb1f7.sm7ea9acb1f7{margin-right:0.1247em;}
[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] .sm87cea9d33c.sm87cea9d33c.sm87cea9d33c.sm87cea9d33c{height:0.8444em;vertical-align:-0.1944em;}
[data-site-math] .sm8c1a88a92a.sm8c1a88a92a.sm8c1a88a92a.sm8c1a88a92a{height:0.7953em;vertical-align:-0.0833em;}
[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] .sm9c45250aa9.sm9c45250aa9.sm9c45250aa9.sm9c45250aa9{height:0.853em;}
[data-site-math] .sma13277abf2.sma13277abf2.sma13277abf2.sma13277abf2{margin-right:0.017em;}
[data-site-math] .sma1e645e06b.sma1e645e06b.sma1e645e06b.sma1e645e06b{height:0.9013em;vertical-align:-0.0833em;}
[data-site-math] .sma2e34d33e3.sma2e34d33e3.sma2e34d33e3.sma2e34d33e3{height:0.7007em;vertical-align:-0.012em;}
[data-site-math] .sma491f07f67.sma491f07f67.sma491f07f67.sma491f07f67{height:0.724em;vertical-align:-0.012em;}
[data-site-math] .sma61adf8ecb.sma61adf8ecb.sma61adf8ecb.sma61adf8ecb{height:0.712em;}
[data-site-math] .sma89f5e26ee.sma89f5e26ee.sma89f5e26ee.sma89f5e26ee{height:0.712em;vertical-align:-0.012em;}
[data-site-math] .smae5d8123e2.smae5d8123e2.smae5d8123e2.smae5d8123e2{margin-right:0em;}
[data-site-math] .smb39be96155.smb39be96155.smb39be96155.smb39be96155{height:0.4745em;}
[data-site-math] .smb4573925d8.smb4573925d8.smb4573925d8.smb4573925d8{height:0.498em;}
[data-site-math] .smb67ac070ad.smb67ac070ad.smb67ac070ad.smb67ac070ad{height:0.65em;}
[data-site-math] .smbcb78c1d53.smbcb78c1d53.smbcb78c1d53.smbcb78c1d53{height:0.865em;vertical-align:-0.012em;}
[data-site-math] .smbe2fdd7ea6.smbe2fdd7ea6.smbe2fdd7ea6.smbe2fdd7ea6{height:0.8324em;vertical-align:-0.1944em;}
[data-site-math] .smc06c788dd7.smc06c788dd7.smc06c788dd7.smc06c788dd7{height:0.8216em;vertical-align:-0.012em;}
[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] .smd2dba17e84.smd2dba17e84.smd2dba17e84.smd2dba17e84{height:0.7213em;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] .smd938776118.smd938776118.smd938776118.smd938776118{top:-2.55em;margin-left:-0.0306em;margin-right:0.05em;}
[data-site-math] .smda928dba42.smda928dba42.smda928dba42.smda928dba42{height:2.7em;}
[data-site-math] .smdb161c0c8b.smdb161c0c8b.smdb161c0c8b.smdb161c0c8b{height:0.638em;}
[data-site-math] .sme058c0c73c.sme058c0c73c.sme058c0c73c.sme058c0c73c{height:0.818em;}
[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] .smecf89ba7a5.smecf89ba7a5.smecf89ba7a5.smecf89ba7a5{height:0.7833em;vertical-align:-0.0833em;}
[data-site-math] .smf8634dc189.smf8634dc189.smf8634dc189.smf8634dc189{height:0.9237em;vertical-align:-0.1584em;}
[data-site-math] .smfc226edc57.smfc226edc57.smfc226edc57.smfc226edc57{height:0.772em;vertical-align:-0.0833em;}
[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"]) .sm0355336489.sm0355336489.sm0355336489.sm0355336489{height:0.91em;}
: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"]) .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"]) .sm13f0bdeb9b.sm13f0bdeb9b.sm13f0bdeb9b.sm13f0bdeb9b{height:0.904em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm13f1f7ff83.sm13f1f7ff83.sm13f1f7ff83.sm13f1f7ff83{top:-2.87em;}
: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"]) .sm28bf52498b.sm28bf52498b.sm28bf52498b.sm28bf52498b{height:0.8096em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm2e74db8733.sm2e74db8733.sm2e74db8733.sm2e74db8733{margin-right:0.017em;}
: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"]) .sm3112077e74.sm3112077e74.sm3112077e74.sm3112077e74{margin-right:0em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm31e2340d5f.sm31e2340d5f.sm31e2340d5f.sm31e2340d5f{height:1.068em;vertical-align:-0.25em;}
: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"]) .sm3b23af7886.sm3b23af7886.sm3b23af7886.sm3b23af7886{height:0.1584em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm43a277d51b.sm43a277d51b.sm43a277d51b.sm43a277d51b{height:0.136em;}
: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"]) .sm46e7cef096.sm46e7cef096.sm46e7cef096.sm46e7cef096{height:0.13em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm4f89bc9975.sm4f89bc9975.sm4f89bc9975.sm4f89bc9975{height:0.668em;vertical-align:-0.012em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm5566b7a413.sm5566b7a413.sm5566b7a413.sm5566b7a413{top:-2.864em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm59e94218a9.sm59e94218a9.sm59e94218a9.sm59e94218a9{height:1.16em;vertical-align:-0.25em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm627bf665fa.sm627bf665fa.sm627bf665fa.sm627bf665fa{margin-right:0.0306em;}
: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"]) .sm68709c9e8c.sm68709c9e8c.sm68709c9e8c.sm68709c9e8c{height:1.154em;vertical-align:-0.25em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm6da7bead5a.sm6da7bead5a.sm6da7bead5a.sm6da7bead5a{height:0.305em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm74be616593.sm74be616593.sm74be616593.sm74be616593{height:0.65em;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"]) .sm792290f2b5.sm792290f2b5.sm792290f2b5.sm792290f2b5{height:0.4745em;}
:is([data-site-math="sans"], [data-kpress-prose-font="sans"] [data-site-math="prose"]) .sm7b3fda3fec.sm7b3fda3fec.sm7b3fda3fec.sm7b3fda3fec{height:0.6951em;vertical-align:-0.0391em;}
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