@import "https://fonts.googleapis.com/css2?family=DM+Mono:wght@400;500&family=Manrope:wght@400;500;600;700;800&family=Noto+Sans+SC:wght@400;500;600;700&display=swap";:root{color:#172033;font-synthesis:none;text-rendering:optimizelegibility;--ink:#172033;--muted:#7d879b;--panel:#fff;--bg:#f4f6fa;--line:#e6e9f0;--blue:#316cff;--nav:#10182a;--success:#20aa82;background:#f4f6fa;font-family:Manrope,Noto Sans SC,sans-serif}*{box-sizing:border-box}html{scroll-behavior:smooth}body{background:var(--bg);min-width:320px;min-height:100vh;margin:0}button,input,select{font:inherit}button{cursor:pointer}button:focus-visible,input:focus-visible,select:focus-visible{outline-offset:2px;outline:3px solid #316cff38}.app-shell{min-height:100vh}.sidebar{z-index:30;color:#9aa5b9;background:var(--nav);flex-direction:column;width:252px;padding:24px 16px;display:flex;position:fixed;inset:0 auto 0 0}.brand{color:#fff;text-align:left;background:0 0;border:0;align-items:center;gap:12px;padding:4px 7px;display:flex}.brand__mark{color:#82a8ff;background:linear-gradient(145deg,#263454,#17213a);border:1px solid #586b9a;border-radius:11px;place-items:center;width:42px;height:42px;font-family:DM Mono;font-size:20px;font-weight:600;display:grid;position:relative;box-shadow:0 10px 24px #070b14}.brand__mark span{color:#42d8b2;font-size:11px;position:absolute;bottom:2px;right:4px}.brand>span:last-child{gap:2px;display:grid}.brand strong{letter-spacing:.12em;font-size:13px}.brand small{color:#67738b;font-size:9px}.sidebar nav{margin-top:36px;overflow-y:auto}.sidebar nav p{color:#526078;letter-spacing:.18em;margin:24px 12px 8px;font-size:9px;font-weight:800}.sidebar nav button{color:#99a5ba;text-align:left;background:0 0;border:0;border-radius:9px;grid-template-columns:24px 1fr auto;align-items:center;gap:9px;width:100%;margin:2px 0;padding:10px 12px;font-size:12px;display:grid}.sidebar nav button>span{color:#7f8ba3;place-items:center;font:14px DM Mono;display:grid}.sidebar nav button:hover,.sidebar nav button.active{color:#fff;background:#1c2841}.sidebar nav button.active{box-shadow:inset 2px 0 #5f8cff}.sidebar nav button b{color:#606e87;font-size:9px}.sidebar nav button i{color:#ffc34e;font-size:9px;font-style:normal}.sidebar__bottom{border-top:1px solid #28334a;gap:12px;margin-top:auto;padding:16px 6px 0;display:grid}.sidebar__bottom span{color:#526078;font:9px DM Mono}.sidebar__bottom select{color:#b9c2d1;background:#172138;border:1px solid #303c55;border-radius:8px;width:100%;padding:9px;font-size:10px}main{min-height:100vh;margin-left:252px}.topbar{z-index:20;border-bottom:1px solid var(--line);background:color-mix(in srgb,var(--panel) 88%,transparent);-webkit-backdrop-filter:blur(18px);backdrop-filter:blur(18px);justify-content:space-between;align-items:center;height:64px;padding:0 clamp(24px,4vw,56px);display:flex;position:sticky;top:0}.breadcrumb{align-items:center;gap:9px;font-size:11px;display:flex}.breadcrumb span,.breadcrumb b{color:#9aa2b1;font-weight:500}.breadcrumb strong{color:var(--ink)}.topbar__status{color:var(--muted);align-items:center;gap:9px;font-size:10px;display:flex}.pulse{background:var(--success);border-radius:50%;width:7px;height:7px;box-shadow:0 0 0 5px #20aa821c}.mobile-menu{color:var(--ink);background:0 0;border:0;font-size:19px;display:none}.page{width:min(1180px,100% - 72px);margin:auto;padding:38px 0 60px}.hero{color:#fff;background:radial-gradient(circle at 87% 34%,#314a77 0,#1a2847 20%,#0000 42%),linear-gradient(128deg,#121b31,#202f50);border-radius:24px;align-items:center;min-height:292px;padding:50px 54px;display:flex;position:relative;overflow:hidden;box-shadow:0 28px 70px -38px #10182a}.overline{color:#7085aa;letter-spacing:.2em;font:500 9px DM Mono}.hero h1{letter-spacing:-.045em;margin:18px 0 16px;font-size:clamp(32px,4vw,48px);line-height:1.18}.hero h1 em{color:#87aaff;font-style:normal}.hero p{color:#9caac1;max-width:610px;margin:0;font-size:13px;line-height:1.8}.circuit-art{opacity:.36;align-items:center;width:270px;display:flex;position:absolute;right:55px}.circuit-art span{color:#b9cced;border:1px solid #99b6e8;border-radius:10px;place-items:center;width:48px;height:48px;font:16px DM Mono;display:grid;transform:rotate(8deg)}.circuit-art i{background:#8298bd;flex:1;height:1px}.circuit-art b{color:#7698d8;font:26px DM Mono;position:absolute;bottom:-44px;right:36px}.search{z-index:2;border:1px solid var(--line);background:var(--panel);border-radius:14px;align-items:center;gap:14px;height:62px;margin:-31px 42px 42px;padding:0 18px;display:flex;position:relative;box-shadow:0 18px 45px -22px #34405a}.search span{color:#7d879b;font-size:22px}.search input{min-width:0;color:var(--ink);background:0 0;border:0;outline:0;flex:1;font-size:13px}.search kbd{border:1px solid var(--line);color:#9ba3b1;background:var(--bg);border-radius:6px;padding:5px 8px;font:9px DM Mono}.tool-section{margin-top:39px}.section-title{justify-content:space-between;align-items:end;margin-bottom:16px;display:flex}.section-title>div span{color:#8c96a8;letter-spacing:.2em;font:500 8px DM Mono}.section-title h2{color:var(--ink);margin:5px 0 0;font-size:17px}.section-title>small{color:#99a1af;font-size:10px}.tool-grid{grid-template-columns:repeat(4,minmax(0,1fr));gap:13px;display:grid}.tool-card{border:1px solid var(--line);min-height:142px;color:inherit;background:var(--panel);text-align:left;border-radius:15px;align-items:flex-start;gap:14px;padding:20px;transition:all .2s;display:flex;position:relative;box-shadow:0 7px 22px #23304c09}.tool-card:hover{border-color:#bdc9df;transform:translateY(-3px);box-shadow:0 17px 36px #233e6c1a}.tool-icon{border:1px solid color-mix(in srgb,var(--accent) 22%,var(--line));width:44px;height:44px;color:var(--accent);background:color-mix(in srgb,var(--accent) 9%,var(--panel));border-radius:12px;flex:none;place-items:center;font:600 15px DM Mono;display:grid}.tool-icon.large{border-radius:15px;width:58px;height:58px;font-size:20px}.tool-card>span{gap:5px;min-width:0;display:grid}.tool-card b{color:var(--ink);font-size:12px}.tool-card small{color:#8b94a5;-webkit-line-clamp:2;-webkit-box-orient:vertical;font-size:9px;line-height:1.5;display:-webkit-box;overflow:hidden}.tool-card em{color:#a2a9b6;margin-top:5px;font:8px DM Mono}.tool-card>i{color:#a1a9b7;font-style:normal;position:absolute;bottom:14px;right:14px}.compact-grid .tool-card{align-items:center;min-height:90px}.compact-grid .tool-card em{display:none}.history-panel{margin-top:38px}.history-list{gap:9px;display:grid}.history-list button{border:1px solid var(--line);width:100%;color:var(--ink);background:var(--panel);text-align:left;border-radius:12px;grid-template-columns:180px 1fr auto;align-items:center;gap:20px;padding:17px 20px;display:grid}.history-list button:hover{border-color:#b7c6e2}.history-list span{gap:4px;display:grid}.history-list b{font-size:12px}.history-list small{color:#9ba3b1;font-size:9px}.history-list strong{color:#6e788b;font:400 10px DM Mono}.history-list i{color:var(--blue);font-size:10px;font-style:normal}.ghost{border:1px solid var(--line);color:var(--muted);background:var(--panel);border-radius:8px;padding:8px 12px;font-size:10px}.empty{color:var(--muted);text-align:center;border:1px dashed #ccd2de;border-radius:14px;padding:50px;font-size:12px}.calc-heading{margin-bottom:28px}.back{color:#7e8899;background:0 0;border:0;margin-bottom:24px;padding:0;font-size:10px}.calc-heading>div{align-items:center;gap:18px;display:flex}.calc-heading>div>span{min-width:0}.calc-heading small{color:#8791a4;letter-spacing:.12em;font:8px DM Mono}.calc-heading h1{color:var(--ink);letter-spacing:-.03em;margin:5px 0 6px;font-size:26px}.calc-heading p{color:var(--muted);margin:0;font-size:11px}.favorite{border:1px solid var(--line);color:#818b9d;background:var(--panel);border-radius:9px;margin-left:auto;padding:9px 13px;font-size:10px}.favorite.on{color:#c18616;background:#fff9ea;border-color:#f0d18f}.calc-layout{grid-template-columns:minmax(0,1fr) minmax(0,1.07fr);align-items:start;gap:18px;display:grid}.panel{border:1px solid var(--line);background:var(--panel);border-radius:18px;box-shadow:0 12px 35px #1b2a480a}.panel>header{border-bottom:1px solid var(--line);align-items:center;gap:12px;padding:20px 22px;display:flex}.panel>header>span{color:#587dc9;background:#edf3ff;border-radius:8px;place-items:center;width:29px;height:29px;font:10px DM Mono;display:grid}.panel h2{color:var(--ink);margin:0;font-size:13px}.panel header p{color:#9ba3b1;margin:3px 0 0;font-size:9px}.input-panel>div:not(.segmented){padding:22px}.field-grid{grid-template-columns:repeat(2,minmax(0,1fr));gap:16px;display:grid}.field{gap:7px;min-width:0;display:grid}.field__label{color:#596478;font-size:10px;font-weight:700}.field__label small{color:#9aa3b2;font-weight:400}.field__control{border:1px solid var(--line);background:var(--bg);border-radius:9px;height:44px;display:flex;overflow:hidden}.field__control:focus-within{border-color:#779cf4;box-shadow:0 0 0 3px #316cff1a}.field__control input{width:100%;min-width:0;color:var(--ink);background:0 0;border:0;outline:0;padding:0 12px;font:13px DM Mono}.field__control select,.field__control b{border:0;border-left:1px solid var(--line);color:#5f6a7e;background:var(--panel);outline:0;width:auto;min-width:68px;padding:0 10px;font:10px DM Mono}.field__control b{place-items:center;font-weight:500;display:grid}.standalone-select{border:1px solid var(--line);width:100%;height:44px;color:var(--ink);background:var(--bg);border-radius:9px;padding:0 12px;font-size:11px}.field-note{color:#939cac;grid-column:1/-1;margin:0;font-size:9px;line-height:1.6}.segmented{background:var(--bg);border-radius:10px;grid-template-columns:repeat(2,1fr);gap:4px;margin:22px 22px 0;padding:4px;display:grid}.segmented.three{grid-template-columns:repeat(3,1fr)}.segmented button{color:#7c8798;background:0 0;border:0;border-radius:7px;padding:9px 5px;font-size:9px}.segmented button.active{color:var(--blue);background:var(--panel);font-weight:700;box-shadow:0 3px 10px #29375417}.resistor-list{gap:12px;display:grid}.resistor-list>div{grid-template-columns:1fr 34px;align-items:end;gap:8px;display:grid}.resistor-list button{border:1px solid var(--line);color:#a1777a;background:var(--bg);border-radius:8px;height:44px}.resistor-list button:disabled{opacity:.35}.add-button{color:#5277c8;background:#f8faff;border:1px dashed #b9c5d9;border-radius:9px;width:100%;margin-top:14px;padding:10px;font-size:10px}.divider-diagram{background:var(--bg);border-radius:10px;justify-content:center;align-items:center;gap:0;font:9px DM Mono;display:flex;margin-top:22px!important;padding:15px!important}.divider-diagram i{color:#718099;border:1px solid #9ca8ba;padding:8px 10px;font-style:normal}.divider-diagram b{color:var(--blue);padding:0 8px;font-weight:500}.save-button{color:#3569d2;background:#f3f7ff;border:1px solid #ccdaf5;border-radius:8px;margin-left:auto;padding:8px 11px;font-size:9px}.save-button:disabled{opacity:.4}.metric-grid{grid-template-columns:repeat(2,minmax(0,1fr));gap:10px;padding:22px;display:grid}.metric-grid article{border:1px solid var(--line);background:var(--bg);border-radius:11px;align-content:center;gap:7px;min-height:86px;padding:15px;display:grid}.metric-grid span{color:#8791a3;font-size:9px}.metric-grid strong{overflow-wrap:anywhere;color:var(--ink);letter-spacing:-.04em;font:500 17px DM Mono}.metric-grid small{color:#9ba3b1;font-size:8px}.formula,.advice,.warning,.response-row{margin:0 22px 22px}.formula{background:#f3f6fc;border-left:3px solid #6b91ec;border-radius:4px 10px 10px 4px;padding:17px}.formula span{color:#7991c2;letter-spacing:.15em;margin-bottom:8px;font:8px DM Mono;display:block}.formula strong{color:#304b7a;font:500 12px/1.7 DM Mono}.formula p{color:#8b96a9;margin:8px 0 0;font-size:8px}.advice{background:#f1fbf8;border:1px solid #cbe9df;border-radius:10px;padding:15px}.advice b{color:#257e66;font-size:10px}.advice p{color:#5b8076;margin:6px 0 0;font-size:9px}.warning{color:#976c22;background:#fff9ec;border:1px solid #f0d9af;border-radius:9px;padding:14px;font-size:9px;line-height:1.6}.response-row{grid-template-columns:repeat(3,1fr);gap:8px;display:grid}.response-row article{background:var(--bg);text-align:center;border-radius:9px;gap:4px;padding:13px;display:grid}.response-row span{color:#8b95a6;font:9px DM Mono}.response-row b{color:var(--ink);font:14px DM Mono}.response-row small{color:#9ca4b2;font-size:8px}.scrim{display:none}html[data-theme=dark]{--lightningcss-light: ;--lightningcss-dark:initial;color-scheme:dark;--ink:#e5eaf3;--muted:#8c97aa;--panel:#171e2b;--bg:#101620;--line:#293242;--nav:#090e17;--blue:#6f99ff;--success:#35c99d}html[data-theme=dark] .hero{background:radial-gradient(circle at 87% 34%,#263f6c 0,#17233e 20%,#0000 42%),linear-gradient(128deg,#0b1120,#172541)}html[data-theme=dark] .tool-card,html[data-theme=dark] .panel{box-shadow:0 12px 30px #0000002e}html[data-theme=dark] .formula{background:#1b263a}html[data-theme=dark] .formula strong{color:#9db9ef}html[data-theme=dark] .advice{background:#172c28;border-color:#285245}html[data-theme=dark] .advice b{color:#6bd0b2}html[data-theme=dark] .advice p{color:#83ac9e}html[data-theme=dark] .warning{color:#d9ae64;background:#292315;border-color:#5d4a28}html[data-theme=dark] .favorite.on{color:#e9bb5d;background:#282315;border-color:#68562d}html[data-theme=dark] .panel>header>span{background:#202d46}.home,.calculator-page{animation:.22s fade}@keyframes fade{0%{opacity:0;transform:translateY(5px)}}@media (width<=1100px){.tool-grid{grid-template-columns:repeat(2,minmax(0,1fr))}.circuit-art{right:-65px}.calc-layout{grid-template-columns:1fr}}@media (width<=760px){.sidebar{transition:left .22s;left:-270px}.sidebar.open{left:0}.scrim{z-index:25;-webkit-backdrop-filter:blur(3px);backdrop-filter:blur(3px);background:#0408108c;border:0;display:block;position:fixed;inset:0}main{margin-left:0}.topbar{height:58px;padding:0 16px}.mobile-menu{display:block}.breadcrumb{margin-right:auto}.breadcrumb span,.breadcrumb b,.topbar__status{display:none}.page{width:calc(100% - 28px);padding:20px 0 42px}.hero{min-height:285px;padding:35px 25px}.hero h1{font-size:32px}.hero p{font-size:11px}.circuit-art{opacity:.18;right:-155px}.search{height:56px;margin:-28px 16px 32px}.search kbd{display:none}.tool-grid{grid-template-columns:1fr}.tool-card{min-height:108px}.tool-card em{display:none}.calc-heading>div{flex-wrap:wrap;align-items:flex-start}.calc-heading>div>span{width:calc(100% - 80px)}.calc-heading p{line-height:1.6}.favorite{width:100%;margin:0}.panel>header,.input-panel>div:not(.segmented){padding:17px}.segmented{margin:17px 17px 0}.field-grid{grid-template-columns:1fr}.metric-grid{padding:17px}.formula,.advice,.warning,.response-row{margin:0 17px 17px}.history-list button{grid-template-columns:1fr;gap:8px}.history-list i{display:none}}@media (width<=420px){.hero h1{font-size:27px}.hero{min-height:270px}.field__control{height:48px}.segmented.three,.metric-grid,.response-row{grid-template-columns:1fr}.section-title>small{display:none}}.input-panel>div>.field{margin-bottom:16px}.app-toast{z-index:50;color:#2e6f5e;background:var(--panel);border:1px solid #cbe9df;border-radius:10px;align-items:center;gap:9px;padding:12px 16px;font-size:10px;display:flex;position:fixed;bottom:24px;right:24px;box-shadow:0 18px 42px #182a4729}.app-toast span{color:#fff;background:var(--success);border-radius:50%;place-items:center;width:20px;height:20px;display:grid}.toast-enter-active,.toast-leave-active{transition:all .18s}.toast-enter-from,.toast-leave-to{opacity:0;transform:translateY(8px)}.input-panel>div>.segmented{margin-left:0;margin-right:0}.mode-label{color:#8893a6;letter-spacing:.13em;text-transform:uppercase;font:700 8px DM Mono;display:block}.rc-advice{background:#f4f8ff;border-color:#cfe2fa}.rc-advice b{color:#3569a8}.rc-advice p{color:#667d9c}html[data-theme=dark] .rc-advice{background:#182437;border-color:#314663}html[data-theme=dark] .rc-advice b{color:#91b8ed}html[data-theme=dark] .rc-advice p{color:#91a5c1}.calc-actions{flex:none;gap:8px;margin-left:auto;display:flex}.calc-actions .favorite{margin-left:0}.share-button{color:#416bad;background:#f3f7ff;border:1px solid #cad8f2;border-radius:9px;padding:9px 13px;font-size:10px}html[data-theme=dark] .share-button{color:#91b8ed;background:#182437;border-color:#314663}@media (width<=760px){.app-toast{justify-content:center;bottom:14px;left:14px;right:14px}.calc-actions{grid-template-columns:1fr 1fr;width:100%;margin-left:0;display:grid}.calc-actions button{width:100%}}.field__label{line-height:1.5}.segmented button{white-space:normal;min-height:36px;line-height:1.35}.input-panel>div>.segmented{margin:0 0 20px}.mode-label{margin:0 0 8px;line-height:1.5}.input-panel>div>.mode-label:not(:first-child){margin-top:2px}@media (width<=420px){.segmented button{min-height:40px}.input-panel>div>.segmented{margin-bottom:18px}}.input-actions{flex:none;gap:6px;margin-left:auto;display:flex}.input-actions button{border:1px solid var(--line);color:#68758b;background:var(--bg);white-space:nowrap;border-radius:8px;min-height:32px;padding:7px 10px;font-size:9px}.input-actions button:hover{color:var(--blue);border-color:#b9c8e2}@media (width<=420px){.input-panel>header{flex-wrap:wrap}.input-actions{grid-template-columns:1fr 1fr;width:100%;margin-left:0;display:grid}.input-actions button{min-height:38px}}.home .search{margin-bottom:24px}.category-browser{margin:0 0 34px}.category-browser__heading{justify-content:space-between;align-items:end;margin-bottom:12px;display:flex}.category-browser__heading>div span{color:#8c96a8;letter-spacing:.2em;font:500 8px DM Mono}.category-browser__heading h2{color:var(--ink);margin:5px 0 0;font-size:17px}.category-browser__heading>small{color:#99a1af;font:10px DM Mono}.category-tabs{grid-template-columns:repeat(6,minmax(0,1fr));gap:8px;display:grid}.category-tabs button{border:1px solid var(--line);min-width:0;min-height:70px;color:var(--ink);background:var(--panel);text-align:left;border-radius:11px;justify-content:space-between;align-items:center;gap:8px;padding:12px 13px;transition:all .18s;display:flex}.category-tabs button:hover{border-color:#bdc9df;transform:translateY(-2px)}.category-tabs button.active{background:#f2f6ff;border-color:#8ca9eb;box-shadow:inset 0 0 0 1px #316cff14}.category-tabs button span{gap:4px;min-width:0;display:grid}.category-tabs button small{color:#98a1b1;letter-spacing:.08em;text-overflow:ellipsis;white-space:nowrap;font:7px DM Mono;overflow:hidden}.category-tabs button b{text-overflow:ellipsis;white-space:nowrap;font-size:10px;overflow:hidden}.category-tabs button strong{color:#6f7d93;background:var(--bg);border-radius:7px;flex:none;place-items:center;width:24px;height:24px;font:9px DM Mono;display:grid}.category-tabs button.active strong{color:#fff;background:var(--blue)}.category-tool-section{margin-top:30px}.category-tool-section+.category-tool-section{border-top:1px solid var(--line);padding-top:28px}.category-tool-section .section-title p{color:#929cac;margin:5px 0 0;font-size:9px}.category-tool-grid{grid-template-columns:repeat(3,minmax(0,1fr))}.category-empty{justify-items:center;gap:7px;display:grid}.category-empty b{color:var(--ink);font-size:12px}.category-empty span{font-size:9px}.category-empty button{color:#4269ad;background:#f3f7ff;border:1px solid #cbd8ef;border-radius:8px;margin-top:5px;padding:8px 12px;font-size:9px}html[data-theme=dark] .category-tabs button.active{background:#1b2940;border-color:#496ca8}html[data-theme=dark] .category-empty button{color:#91b8ed;background:#182437;border-color:#314663}@media (width<=1100px){.category-tabs{grid-template-columns:repeat(3,minmax(0,1fr))}.category-tool-grid{grid-template-columns:repeat(2,minmax(0,1fr))}}@media (width<=760px){.home .search{margin-bottom:22px}.category-tabs{grid-template-columns:repeat(2,minmax(0,1fr))}.category-tool-grid{grid-template-columns:1fr}.category-browser__heading>small{display:none}}@media (width<=420px){.category-tabs{grid-template-columns:1fr}}.standard-values{background:#f6f9ff;border:1px solid #cbdaf3;border-radius:12px;margin:0 22px 22px;padding:15px}.standard-values>header{justify-content:space-between;align-items:end;gap:16px;margin-bottom:11px;display:flex}.standard-values>header>div{gap:4px;display:grid}.standard-values>header span{color:#7790bd;letter-spacing:.13em;font:8px DM Mono}.standard-values>header b{color:#294f8a;font-size:11px}.standard-values>header p{color:#8190a7;margin:0;font-size:9px}.standard-values>header strong{color:#2d4f84;font:500 11px DM Mono}.standard-values__rows{gap:7px;display:grid}.standard-values article{background:var(--panel);border:1px solid #dce5f4;border-radius:9px;grid-template-columns:90px repeat(3,minmax(0,1fr));align-items:center;gap:10px;padding:11px 12px;display:grid}.standard-values article>div{gap:3px;min-width:0;display:grid}.standard-values article>div>span{color:#929cad;font-size:8px}.standard-values article>div>strong{overflow-wrap:anywhere;color:var(--ink);font:500 10px DM Mono}.standard-values article>div>small{color:#8d98aa;font-size:8px}.standard-values__series b{color:#3f6fbe!important;font:700 12px DM Mono!important}.standard-values__series small{color:#8b9bb6!important}.standard-values strong.positive{color:#bc742a}.standard-values strong.negative{color:#338468}.standard-values__note{color:#8c98aa;margin:10px 0 0;font-size:8px;line-height:1.55}html[data-theme=dark] .standard-values{background:#172338;border-color:#314866}html[data-theme=dark] .standard-values article{border-color:#2d3c53}html[data-theme=dark] .standard-values>header b,html[data-theme=dark] .standard-values>header strong{color:#9dbbef}@media (width<=760px){.standard-values{margin:0 17px 17px}.standard-values article{grid-template-columns:80px repeat(2,minmax(0,1fr))}.standard-values article>div:last-child{grid-column:2/-1}.standard-values>header{flex-direction:column;align-items:start;gap:7px}}.engineering-guidance{margin:0 22px 22px}.engineering-guidance>header{justify-content:space-between;align-items:center;margin-bottom:9px;display:flex}.engineering-guidance>header span{color:#7d8aa0;letter-spacing:.15em;font:500 8px DM Mono}.engineering-guidance>header small{color:#a1a9b6;font:8px DM Mono}.engineering-guidance__list{gap:8px;display:grid}.engineering-guidance article{border:1px solid var(--line);background:var(--bg);border-radius:10px;grid-template-columns:25px 1fr;gap:10px;padding:13px 14px;display:grid}.engineering-guidance article>span{border-radius:50%;place-items:center;width:22px;height:22px;font:700 10px DM Mono;display:grid}.engineering-guidance article b{color:var(--ink);margin:1px 0 4px;font-size:10px;display:block}.engineering-guidance article p{color:#758095;margin:0;font-size:9px;line-height:1.65}.engineering-guidance .is-advice{background:#f1fbf8;border-color:#cbe9df}.engineering-guidance .is-advice>span{color:#fff;background:#31a886}.engineering-guidance .is-warning{background:#fff9ec;border-color:#efd8ab}.engineering-guidance .is-warning>span{color:#fff;background:#d79a34}.engineering-guidance .is-info{background:#f4f8fd;border-color:#cfe0f4}.engineering-guidance .is-info>span{color:#fff;background:#668bc4}html[data-theme=dark] .engineering-guidance article p{color:#9aa8ba}html[data-theme=dark] .engineering-guidance .is-advice{background:#172c28;border-color:#285245}html[data-theme=dark] .engineering-guidance .is-warning{background:#292315;border-color:#5d4a28}html[data-theme=dark] .engineering-guidance .is-info{background:#182437;border-color:#314663}@media (width<=760px){.engineering-guidance{margin:0 17px 17px}.engineering-guidance article{padding:12px}}.math-formula{background:#f3f6fc;border-left:3px solid #6b91ec;border-radius:4px 10px 10px 4px;margin:0 22px 22px;padding:17px}.math-formula__label{color:#7991c2;letter-spacing:.15em;margin-bottom:7px;font:8px DM Mono;display:block}.math-formula__body{color:#304b7a;-webkit-overflow-scrolling:touch;max-width:100%;padding:2px 0 5px;overflow:auto hidden}.math-formula__body .katex-display{text-align:left;margin:.35em 0}.math-formula__body .katex-display>.katex{white-space:nowrap;text-align:left}.math-formula__body .katex{font-size:1.03em}.math-formula p{color:#8b96a9;margin:8px 0 0;font-size:8px;line-height:1.5}html[data-theme=dark] .math-formula{background:#1b263a}html[data-theme=dark] .math-formula__body{color:#9db9ef}@media (width<=760px){.math-formula{margin:0 17px 17px}.math-formula__body .katex{font-size:.96em}}.bode-plot{background:#f8faff;border:1px solid #cedbf0;border-radius:12px;margin:0 22px 22px;padding:16px}.bode-plot__header{justify-content:space-between;align-items:end;gap:16px;margin-bottom:13px;display:flex}.bode-plot__header>div{gap:4px;display:grid}.bode-plot__header span{color:#7790bd;letter-spacing:.13em;font:8px DM Mono}.bode-plot__header b{color:#294f8a;font-size:11px}.bode-plot__header small{color:#8b96a8;font:8px DM Mono}.bode-plot__readout{grid-template-columns:repeat(3,minmax(0,1fr));gap:7px;margin-bottom:12px;display:grid}.bode-plot__readout article{background:var(--panel);border:1px solid #dce5f4;border-radius:8px;gap:4px;min-width:0;padding:10px 11px;display:grid}.bode-plot__readout span{color:#909bad;font-size:8px}.bode-plot__readout strong{overflow-wrap:anywhere;color:var(--ink);font:500 10px DM Mono}.bode-chart{background:var(--panel);border:1px solid #dce5f4;border-radius:9px;margin-top:9px;overflow:hidden}.bode-chart__title{justify-content:space-between;align-items:center;padding:10px 12px 0;display:flex}.bode-chart__title b{color:var(--ink);font-size:9px}.bode-chart__title span{color:#9aa4b5;font:8px DM Mono}.bode-chart svg{touch-action:none;width:100%;height:auto;display:block}.bode-chart__grid line{stroke:#e3e8f1;stroke-width:1px;vector-effect:non-scaling-stroke}.bode-chart__labels text{fill:#8c97a8;font:8px DM Mono}.bode-chart__curve{fill:none;stroke-width:2.4px;stroke-linecap:round;stroke-linejoin:round;vector-effect:non-scaling-stroke}.bode-chart__curve.is-magnitude{stroke:#316cff}.bode-chart__curve.is-phase{stroke:#00a88f}.bode-chart__cutoff{stroke:#e39835;stroke-width:1.2px;stroke-dasharray:5 4;vector-effect:non-scaling-stroke}.bode-chart__cursor line{stroke:#65738a;stroke-width:1px;stroke-dasharray:2 3;vector-effect:non-scaling-stroke}.bode-chart__cursor circle{fill:var(--panel);stroke:#316cff;stroke-width:2px;vector-effect:non-scaling-stroke}.bode-plot__note{color:#78859a;margin:12px 1px 0;font-size:8px;line-height:1.6}.bode-plot__note b{color:#d17d22;font:500 9px DM Mono}html[data-theme=dark] .bode-plot{background:#172338;border-color:#314866}html[data-theme=dark] .bode-plot__header b{color:#9dbbef}html[data-theme=dark] .bode-plot__readout article,html[data-theme=dark] .bode-chart{border-color:#2d3c53}html[data-theme=dark] .bode-chart__grid line{stroke:#2b3546}html[data-theme=dark] .bode-chart__labels text{fill:#8793a7}@media (width<=760px){.bode-plot{margin:0 17px 17px}.bode-plot__header{flex-direction:column;align-items:start;gap:6px}}@media (width<=420px){.bode-plot__readout{grid-template-columns:1fr}}@media (prefers-reduced-motion:reduce){*{scroll-behavior:auto!important;transition:none!important;animation:none!important}}@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(/assets/KaTeX_AMS-Regular-BQhdFMY1.woff2)format("woff2"),url(/assets/KaTeX_AMS-Regular-DMm9YOAa.woff)format("woff"),url(/assets/KaTeX_AMS-Regular-DRggAlZN.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(/assets/KaTeX_Caligraphic-Bold-Dq_IR9rO.woff2)format("woff2"),url(/assets/KaTeX_Caligraphic-Bold-BEiXGLvX.woff)format("woff"),url(/assets/KaTeX_Caligraphic-Bold-ATXxdsX0.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Caligraphic-Regular-Di6jR-x-.woff2)format("woff2"),url(/assets/KaTeX_Caligraphic-Regular-CTRA-rTL.woff)format("woff"),url(/assets/KaTeX_Caligraphic-Regular-wX97UBjC.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(/assets/KaTeX_Fraktur-Bold-CL6g_b3V.woff2)format("woff2"),url(/assets/KaTeX_Fraktur-Bold-BsDP51OF.woff)format("woff"),url(/assets/KaTeX_Fraktur-Bold-BdnERNNW.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Fraktur-Regular-CTYiF6lA.woff2)format("woff2"),url(/assets/KaTeX_Fraktur-Regular-Dxdc4cR9.woff)format("woff"),url(/assets/KaTeX_Fraktur-Regular-CB_wures.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url(/assets/KaTeX_Main-Bold-Cx986IdX.woff2)format("woff2"),url(/assets/KaTeX_Main-Bold-Jm3AIy58.woff)format("woff"),url(/assets/KaTeX_Main-Bold-waoOVXN0.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(/assets/KaTeX_Main-BoldItalic-DxDJ3AOS.woff2)format("woff2"),url(/assets/KaTeX_Main-BoldItalic-SpSLRI95.woff)format("woff"),url(/assets/KaTeX_Main-BoldItalic-DzxPMmG6.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(/assets/KaTeX_Main-Italic-NWA7e6Wa.woff2)format("woff2"),url(/assets/KaTeX_Main-Italic-BMLOBm91.woff)format("woff"),url(/assets/KaTeX_Main-Italic-3WenGoN9.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Main-Regular-B22Nviop.woff2)format("woff2"),url(/assets/KaTeX_Main-Regular-Dr94JaBh.woff)format("woff"),url(/assets/KaTeX_Main-Regular-ypZvNtVU.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(/assets/KaTeX_Math-BoldItalic-CZnvNsCZ.woff2)format("woff2"),url(/assets/KaTeX_Math-BoldItalic-iY-2wyZ7.woff)format("woff"),url(/assets/KaTeX_Math-BoldItalic-B3XSjfu4.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(/assets/KaTeX_Math-Italic-t53AETM-.woff2)format("woff2"),url(/assets/KaTeX_Math-Italic-DA0__PXp.woff)format("woff"),url(/assets/KaTeX_Math-Italic-flOr_0UB.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:700;src:url(/assets/KaTeX_SansSerif-Bold-D1sUS0GD.woff2)format("woff2"),url(/assets/KaTeX_SansSerif-Bold-DbIhKOiC.woff)format("woff"),url(/assets/KaTeX_SansSerif-Bold-CFMepnvq.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:italic;font-weight:400;src:url(/assets/KaTeX_SansSerif-Italic-C3H0VqGB.woff2)format("woff2"),url(/assets/KaTeX_SansSerif-Italic-DN2j7dab.woff)format("woff"),url(/assets/KaTeX_SansSerif-Italic-YYjJ1zSn.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:400;src:url(/assets/KaTeX_SansSerif-Regular-DDBCnlJ7.woff2)format("woff2"),url(/assets/KaTeX_SansSerif-Regular-CS6fqUqJ.woff)format("woff"),url(/assets/KaTeX_SansSerif-Regular-BNo7hRIc.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Script-Regular-D3wIWfF6.woff2)format("woff2"),url(/assets/KaTeX_Script-Regular-D5yQViql.woff)format("woff"),url(/assets/KaTeX_Script-Regular-C5JkGWo-.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Size1-Regular-mCD8mA8B.woff2)format("woff2"),url(/assets/KaTeX_Size1-Regular-C195tn64.woff)format("woff"),url(/assets/KaTeX_Size1-Regular-Dbsnue_I.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Size2-Regular-Dy4dx90m.woff2)format("woff2"),url(/assets/KaTeX_Size2-Regular-oD1tc_U0.woff)format("woff"),url(/assets/KaTeX_Size2-Regular-B7gKUWhC.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url(data:font/woff2;base64,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)format("woff2"),url(/assets/KaTeX_Size3-Regular-CTq5MqoE.woff)format("woff"),url(/assets/KaTeX_Size3-Regular-DgpXs0kz.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Size4-Regular-Dl5lxZxV.woff2)format("woff2"),url(/assets/KaTeX_Size4-Regular-BF-4gkZK.woff)format("woff"),url(/assets/KaTeX_Size4-Regular-DWFBv043.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Typewriter-Regular-CO6r4hn1.woff2)format("woff2"),url(/assets/KaTeX_Typewriter-Regular-C0xS9mPB.woff)format("woff"),url(/assets/KaTeX_Typewriter-Regular-D3Ib7_Hf.ttf)format("truetype")}.katex{text-indent:0;text-rendering:auto;font:1.21em/1.2 KaTeX_Main,Times New Roman,serif;position:relative}.katex *{border-color:currentColor;-ms-high-contrast-adjust:none!important}.katex .katex-version:after{content:"0.18.4"}.katex .katex-mathml{clip-path:inset(50%);border:0;width:1px;height:1px;padding:0;position:absolute;overflow:hidden}.katex .katex-html>.katex-newline{display:block}.katex .katex-base{white-space:nowrap;width:min-content;position:relative}.katex .katex-base,.katex .katex-strut{display:inline-block}.katex .textbf{font-weight:700}.katex .textit{font-style:italic}.katex .textrm{font-family:KaTeX_Main}.katex .textsf{font-family:KaTeX_SansSerif}.katex .texttt{font-family:KaTeX_Typewriter}.katex .mathnormal{font-family:KaTeX_Math;font-style:italic}.katex .mathit{font-family:KaTeX_Main;font-style:italic}.katex .mathrm{font-style:normal}.katex .mathbf{font-family:KaTeX_Main;font-weight:700}.katex .boldsymbol{font-family:KaTeX_Math;font-style:italic;font-weight:700}.katex .amsrm,.katex .mathbb,.katex .textbb{font-family:KaTeX_AMS}.katex .mathcal{font-family:KaTeX_Caligraphic}.katex .mathfrak,.katex .textfrak{font-family:KaTeX_Fraktur}.katex .mathboldfrak,.katex .textboldfrak{font-family:KaTeX_Fraktur;font-weight:700}.katex .mathtt{font-family:KaTeX_Typewriter}.katex .mathscr,.katex .textscr{font-family:KaTeX_Script}.katex .mathsf,.katex .textsf{font-family:KaTeX_SansSerif}.katex .mathboldsf,.katex .textboldsf{font-family:KaTeX_SansSerif;font-weight:700}.katex .mathitsf,.katex .mathsfit,.katex .textitsf{font-family:KaTeX_SansSerif;font-style:italic}.katex .mainrm{font-family:KaTeX_Main;font-style:normal}.katex .vlist-t{border-collapse:collapse;table-layout:fixed;display:inline-table}.katex .vlist-r{display:table-row}.katex .vlist{vertical-align:bottom;display:table-cell;position:relative}.katex .vlist>span{height:0;display:block;position:relative}.katex .vlist>span>span{display:inline-block}.katex .vlist>span>.pstrut{width:0;overflow:hidden}.katex .vlist-t2{margin-right:-2px}.katex .vlist-s{vertical-align:bottom;width:2px;min-width:2px;font-size:1px;display:table-cell}.katex .katex-vbox{flex-direction:column;align-items:baseline;display:inline-flex}.katex .katex-thinbox{flex-direction:row;width:0;max-width:0;display:inline-flex}.katex .msupsub{text-align:left}.katex .mfrac>span>span{text-align:center}.katex .mfrac .frac-line{border-bottom-style:solid;width:100%;display:inline-block}.katex .katex-hdashline,.katex .katex-hline,.katex .katex-overline .overline-line,.katex .katex-rule,.katex .katex-underline .underline-line,.katex .mfrac .frac-line{min-height:1px}.katex .mspace{display:inline-block}.katex .katex-smash{line-height:0;display:inline}.katex .clap,.katex .llap,.katex .rlap{width:0;position:relative}.katex .clap>.katex-inner,.katex .llap>.katex-inner,.katex .rlap>.katex-inner{position:absolute}.katex .clap>.katex-fix,.katex .llap>.katex-fix,.katex .rlap>.katex-fix{display:inline-block}.katex .llap>.katex-inner{right:0}.katex .clap>.katex-inner,.katex .rlap>.katex-inner{left:0}.katex .clap>.katex-inner>span{margin-left:-50%;margin-right:50%}.katex .katex-rule{border:0 solid;display:inline-block;position:relative}.katex .katex-hline,.katex .katex-overline .overline-line,.katex .katex-underline .underline-line{border-bottom-style:solid;width:100%;display:inline-block}.katex .katex-hdashline{border-bottom-style:dashed;width:100%;display:inline-block}.katex .sqrt>.katex-root{margin-left:.277778em;margin-right:-.555556em}.katex .fontsize-ensurer.reset-size1.size1,.katex .katex-sizing.reset-size1.size1{font-size:1em}.katex .fontsize-ensurer.reset-size1.size2,.katex .katex-sizing.reset-size1.size2{font-size:1.2em}.katex .fontsize-ensurer.reset-size1.size3,.katex .katex-sizing.reset-size1.size3{font-size:1.4em}.katex .fontsize-ensurer.reset-size1.size4,.katex .katex-sizing.reset-size1.size4{font-size:1.6em}.katex .fontsize-ensurer.reset-size1.size5,.katex .katex-sizing.reset-size1.size5{font-size:1.8em}.katex .fontsize-ensurer.reset-size1.size6,.katex .katex-sizing.reset-size1.size6{font-size:2em}.katex .fontsize-ensurer.reset-size1.size7,.katex .katex-sizing.reset-size1.size7{font-size:2.4em}.katex .fontsize-ensurer.reset-size1.size8,.katex .katex-sizing.reset-size1.size8{font-size:2.88em}.katex .fontsize-ensurer.reset-size1.size9,.katex .katex-sizing.reset-size1.size9{font-size:3.456em}.katex .fontsize-ensurer.reset-size1.size10,.katex .katex-sizing.reset-size1.size10{font-size:4.148em}.katex .fontsize-ensurer.reset-size1.size11,.katex .katex-sizing.reset-size1.size11{font-size:4.976em}.katex .fontsize-ensurer.reset-size2.size1,.katex .katex-sizing.reset-size2.size1{font-size:.833333em}.katex .fontsize-ensurer.reset-size2.size2,.katex .katex-sizing.reset-size2.size2{font-size:1em}.katex .fontsize-ensurer.reset-size2.size3,.katex .katex-sizing.reset-size2.size3{font-size:1.16667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .katex-sizing.reset-size2.size4{font-size:1.33333em}.katex .fontsize-ensurer.reset-size2.size5,.katex .katex-sizing.reset-size2.size5{font-size:1.5em}.katex .fontsize-ensurer.reset-size2.size6,.katex .katex-sizing.reset-size2.size6{font-size:1.66667em}.katex .fontsize-ensurer.reset-size2.size7,.katex .katex-sizing.reset-size2.size7{font-size:2em}.katex .fontsize-ensurer.reset-size2.size8,.katex .katex-sizing.reset-size2.size8{font-size:2.4em}.katex .fontsize-ensurer.reset-size2.size9,.katex .katex-sizing.reset-size2.size9{font-size:2.88em}.katex .fontsize-ensurer.reset-size2.size10,.katex .katex-sizing.reset-size2.size10{font-size:3.45667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .katex-sizing.reset-size2.size11{font-size:4.14667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .katex-sizing.reset-size3.size1{font-size:.714286em}.katex .fontsize-ensurer.reset-size3.size2,.katex .katex-sizing.reset-size3.size2{font-size:.857143em}.katex .fontsize-ensurer.reset-size3.size3,.katex .katex-sizing.reset-size3.size3{font-size:1em}.katex .fontsize-ensurer.reset-size3.size4,.katex .katex-sizing.reset-size3.size4{font-size:1.14286em}.katex .fontsize-ensurer.reset-size3.size5,.katex .katex-sizing.reset-size3.size5{font-size:1.28571em}.katex .fontsize-ensurer.reset-size3.size6,.katex .katex-sizing.reset-size3.size6{font-size:1.42857em}.katex .fontsize-ensurer.reset-size3.size7,.katex .katex-sizing.reset-size3.size7{font-size:1.71429em}.katex .fontsize-ensurer.reset-size3.size8,.katex .katex-sizing.reset-size3.size8{font-size:2.05714em}.katex .fontsize-ensurer.reset-size3.size9,.katex .katex-sizing.reset-size3.size9{font-size:2.46857em}.katex .fontsize-ensurer.reset-size3.size10,.katex .katex-sizing.reset-size3.size10{font-size:2.96286em}.katex .fontsize-ensurer.reset-size3.size11,.katex .katex-sizing.reset-size3.size11{font-size:3.55429em}.katex .fontsize-ensurer.reset-size4.size1,.katex .katex-sizing.reset-size4.size1{font-size:.625em}.katex .fontsize-ensurer.reset-size4.size2,.katex .katex-sizing.reset-size4.size2{font-size:.75em}.katex .fontsize-ensurer.reset-size4.size3,.katex .katex-sizing.reset-size4.size3{font-size:.875em}.katex .fontsize-ensurer.reset-size4.size4,.katex .katex-sizing.reset-size4.size4{font-size:1em}.katex .fontsize-ensurer.reset-size4.size5,.katex .katex-sizing.reset-size4.size5{font-size:1.125em}.katex .fontsize-ensurer.reset-size4.size6,.katex .katex-sizing.reset-size4.size6{font-size:1.25em}.katex .fontsize-ensurer.reset-size4.size7,.katex .katex-sizing.reset-size4.size7{font-size:1.5em}.katex .fontsize-ensurer.reset-size4.size8,.katex .katex-sizing.reset-size4.size8{font-size:1.8em}.katex .fontsize-ensurer.reset-size4.size9,.katex .katex-sizing.reset-size4.size9{font-size:2.16em}.katex .fontsize-ensurer.reset-size4.size10,.katex .katex-sizing.reset-size4.size10{font-size:2.5925em}.katex .fontsize-ensurer.reset-size4.size11,.katex .katex-sizing.reset-size4.size11{font-size:3.11em}.katex .fontsize-ensurer.reset-size5.size1,.katex .katex-sizing.reset-size5.size1{font-size:.555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .katex-sizing.reset-size5.size2{font-size:.666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .katex-sizing.reset-size5.size3{font-size:.777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .katex-sizing.reset-size5.size4{font-size:.888889em}.katex .fontsize-ensurer.reset-size5.size5,.katex .katex-sizing.reset-size5.size5{font-size:1em}.katex .fontsize-ensurer.reset-size5.size6,.katex .katex-sizing.reset-size5.size6{font-size:1.11111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .katex-sizing.reset-size5.size7{font-size:1.33333em}.katex .fontsize-ensurer.reset-size5.size8,.katex .katex-sizing.reset-size5.size8{font-size:1.6em}.katex .fontsize-ensurer.reset-size5.size9,.katex .katex-sizing.reset-size5.size9{font-size:1.92em}.katex .fontsize-ensurer.reset-size5.size10,.katex .katex-sizing.reset-size5.size10{font-size:2.30444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .katex-sizing.reset-size5.size11{font-size:2.76444em}.katex .fontsize-ensurer.reset-size6.size1,.katex .katex-sizing.reset-size6.size1{font-size:.5em}.katex .fontsize-ensurer.reset-size6.size2,.katex .katex-sizing.reset-size6.size2{font-size:.6em}.katex .fontsize-ensurer.reset-size6.size3,.katex .katex-sizing.reset-size6.size3{font-size:.7em}.katex .fontsize-ensurer.reset-size6.size4,.katex .katex-sizing.reset-size6.size4{font-size:.8em}.katex .fontsize-ensurer.reset-size6.size5,.katex .katex-sizing.reset-size6.size5{font-size:.9em}.katex .fontsize-ensurer.reset-size6.size6,.katex .katex-sizing.reset-size6.size6{font-size:1em}.katex .fontsize-ensurer.reset-size6.size7,.katex .katex-sizing.reset-size6.size7{font-size:1.2em}.katex .fontsize-ensurer.reset-size6.size8,.katex .katex-sizing.reset-size6.size8{font-size:1.44em}.katex .fontsize-ensurer.reset-size6.size9,.katex .katex-sizing.reset-size6.size9{font-size:1.728em}.katex .fontsize-ensurer.reset-size6.size10,.katex .katex-sizing.reset-size6.size10{font-size:2.074em}.katex .fontsize-ensurer.reset-size6.size11,.katex .katex-sizing.reset-size6.size11{font-size:2.488em}.katex .fontsize-ensurer.reset-size7.size1,.katex .katex-sizing.reset-size7.size1{font-size:.416667em}.katex .fontsize-ensurer.reset-size7.size2,.katex .katex-sizing.reset-size7.size2{font-size:.5em}.katex .fontsize-ensurer.reset-size7.size3,.katex .katex-sizing.reset-size7.size3{font-size:.583333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .katex-sizing.reset-size7.size4{font-size:.666667em}.katex .fontsize-ensurer.reset-size7.size5,.katex .katex-sizing.reset-size7.size5{font-size:.75em}.katex .fontsize-ensurer.reset-size7.size6,.katex .katex-sizing.reset-size7.size6{font-size:.833333em}.katex .fontsize-ensurer.reset-size7.size7,.katex .katex-sizing.reset-size7.size7{font-size:1em}.katex .fontsize-ensurer.reset-size7.size8,.katex .katex-sizing.reset-size7.size8{font-size:1.2em}.katex .fontsize-ensurer.reset-size7.size9,.katex .katex-sizing.reset-size7.size9{font-size:1.44em}.katex .fontsize-ensurer.reset-size7.size10,.katex .katex-sizing.reset-size7.size10{font-size:1.72833em}.katex .fontsize-ensurer.reset-size7.size11,.katex .katex-sizing.reset-size7.size11{font-size:2.07333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .katex-sizing.reset-size8.size1{font-size:.347222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .katex-sizing.reset-size8.size2{font-size:.416667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .katex-sizing.reset-size8.size3{font-size:.486111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .katex-sizing.reset-size8.size4{font-size:.555556em}.katex .fontsize-ensurer.reset-size8.size5,.katex .katex-sizing.reset-size8.size5{font-size:.625em}.katex .fontsize-ensurer.reset-size8.size6,.katex .katex-sizing.reset-size8.size6{font-size:.694444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .katex-sizing.reset-size8.size7{font-size:.833333em}.katex .fontsize-ensurer.reset-size8.size8,.katex .katex-sizing.reset-size8.size8{font-size:1em}.katex .fontsize-ensurer.reset-size8.size9,.katex .katex-sizing.reset-size8.size9{font-size:1.2em}.katex .fontsize-ensurer.reset-size8.size10,.katex .katex-sizing.reset-size8.size10{font-size:1.44028em}.katex .fontsize-ensurer.reset-size8.size11,.katex .katex-sizing.reset-size8.size11{font-size:1.72778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .katex-sizing.reset-size9.size1{font-size:.289352em}.katex .fontsize-ensurer.reset-size9.size2,.katex .katex-sizing.reset-size9.size2{font-size:.347222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .katex-sizing.reset-size9.size3{font-size:.405093em}.katex .fontsize-ensurer.reset-size9.size4,.katex .katex-sizing.reset-size9.size4{font-size:.462963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .katex-sizing.reset-size9.size5{font-size:.520833em}.katex .fontsize-ensurer.reset-size9.size6,.katex .katex-sizing.reset-size9.size6{font-size:.578704em}.katex .fontsize-ensurer.reset-size9.size7,.katex .katex-sizing.reset-size9.size7{font-size:.694444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .katex-sizing.reset-size9.size8{font-size:.833333em}.katex .fontsize-ensurer.reset-size9.size9,.katex .katex-sizing.reset-size9.size9{font-size:1em}.katex .fontsize-ensurer.reset-size9.size10,.katex .katex-sizing.reset-size9.size10{font-size:1.20023em}.katex .fontsize-ensurer.reset-size9.size11,.katex .katex-sizing.reset-size9.size11{font-size:1.43981em}.katex .fontsize-ensurer.reset-size10.size1,.katex .katex-sizing.reset-size10.size1{font-size:.24108em}.katex .fontsize-ensurer.reset-size10.size2,.katex .katex-sizing.reset-size10.size2{font-size:.289296em}.katex .fontsize-ensurer.reset-size10.size3,.katex .katex-sizing.reset-size10.size3{font-size:.337512em}.katex .fontsize-ensurer.reset-size10.size4,.katex .katex-sizing.reset-size10.size4{font-size:.385728em}.katex .fontsize-ensurer.reset-size10.size5,.katex .katex-sizing.reset-size10.size5{font-size:.433944em}.katex .fontsize-ensurer.reset-size10.size6,.katex .katex-sizing.reset-size10.size6{font-size:.48216em}.katex .fontsize-ensurer.reset-size10.size7,.katex .katex-sizing.reset-size10.size7{font-size:.578592em}.katex .fontsize-ensurer.reset-size10.size8,.katex .katex-sizing.reset-size10.size8{font-size:.694311em}.katex .fontsize-ensurer.reset-size10.size9,.katex .katex-sizing.reset-size10.size9{font-size:.833173em}.katex .fontsize-ensurer.reset-size10.size10,.katex .katex-sizing.reset-size10.size10{font-size:1em}.katex .fontsize-ensurer.reset-size10.size11,.katex .katex-sizing.reset-size10.size11{font-size:1.19961em}.katex .fontsize-ensurer.reset-size11.size1,.katex .katex-sizing.reset-size11.size1{font-size:.200965em}.katex .fontsize-ensurer.reset-size11.size2,.katex .katex-sizing.reset-size11.size2{font-size:.241158em}.katex .fontsize-ensurer.reset-size11.size3,.katex .katex-sizing.reset-size11.size3{font-size:.281351em}.katex .fontsize-ensurer.reset-size11.size4,.katex .katex-sizing.reset-size11.size4{font-size:.321543em}.katex .fontsize-ensurer.reset-size11.size5,.katex .katex-sizing.reset-size11.size5{font-size:.361736em}.katex .fontsize-ensurer.reset-size11.size6,.katex .katex-sizing.reset-size11.size6{font-size:.401929em}.katex .fontsize-ensurer.reset-size11.size7,.katex .katex-sizing.reset-size11.size7{font-size:.482315em}.katex .fontsize-ensurer.reset-size11.size8,.katex .katex-sizing.reset-size11.size8{font-size:.578778em}.katex .fontsize-ensurer.reset-size11.size9,.katex .katex-sizing.reset-size11.size9{font-size:.694534em}.katex .fontsize-ensurer.reset-size11.size10,.katex .katex-sizing.reset-size11.size10{font-size:.833601em}.katex .fontsize-ensurer.reset-size11.size11,.katex .katex-sizing.reset-size11.size11{font-size:1em}.katex .delimsizing.size1{font-family:KaTeX_Size1}.katex .delimsizing.size2{font-family:KaTeX_Size2}.katex .delimsizing.size3{font-family:KaTeX_Size3}.katex .delimsizing.size4{font-family:KaTeX_Size4}.katex .delimsizing.mult .delim-size1>span{font-family:KaTeX_Size1}.katex .delimsizing.mult .delim-size4>span{font-family:KaTeX_Size4}.katex .nulldelimiter{width:.12em;display:inline-block}.katex .delimcenter,.katex .op-symbol{position:relative}.katex .op-symbol.small-op{font-family:KaTeX_Size1}.katex .op-symbol.large-op{font-family:KaTeX_Size2}.katex .katex-accent>.vlist-t,.katex .op-limits>.vlist-t{text-align:center}.katex .katex-accent .accent-body{position:relative}.katex .katex-accent .accent-body:not(.accent-full){width:0}.katex .katex-overlay{display:block}.katex .mtable .vertical-separator{min-width:1px;display:inline-block}.katex .mtable .arraycolsep{display:inline-block}.katex .mtable .col-align-c>.vlist-t{text-align:center}.katex .mtable .col-align-l>.vlist-t{text-align:left}.katex .mtable .col-align-r>.vlist-t{text-align:right}.katex .svg-align{text-align:left}.katex svg{fill:currentColor;stroke:currentColor;height:inherit;width:100%;display:block;position:absolute}.katex svg path{stroke:none}.katex svg{fill-rule:nonzero;fill-opacity:1;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1}.katex img{border-style:none;min-width:0;max-width:none;min-height:0;max-height:none}.katex .katex-stretchy{width:100%;display:block;position:relative;overflow:hidden}.katex .katex-stretchy:after,.katex .katex-stretchy:before{content:""}.katex .hide-tail{width:100%;position:relative;overflow:hidden}.katex .halfarrow-left{width:50.2%;position:absolute;left:0;overflow:hidden}.katex .halfarrow-right{width:50.2%;position:absolute;right:0;overflow:hidden}.katex .brace-left{width:25.1%;position:absolute;left:0;overflow:hidden}.katex .brace-center{width:50%;position:absolute;left:25%;overflow:hidden}.katex .brace-right{width:25.1%;position:absolute;right:0;overflow:hidden}.katex .x-arrow-pad{padding:0 .5em}.katex .cd-arrow-pad{padding:0 .55556em 0 .27778em}.katex .mover,.katex .munder,.katex .x-arrow{text-align:center}.katex .boxpad{padding:0 .3em}.katex .fbox,.katex .fcolorbox{box-sizing:border-box;border:.04em solid}.katex .cancel-pad{padding:0 .2em}.katex .cancel-lap{margin-left:-.2em;margin-right:-.2em}.katex .katex-sout{border-bottom-style:solid;border-bottom-width:.08em}.katex .angl{box-sizing:border-box;border-top:.049em solid;border-right:.049em solid;margin-right:.03889em}.katex .anglpad{padding:0 .03889em}.katex .eqn-num:before{content:"(" counter(katexEqnNo) ")";counter-increment:katexEqnNo}.katex .mml-eqn-num:before{content:"(" counter(mmlEqnNo) ")";counter-increment:mmlEqnNo}.katex .mtr-glue{width:50%}.katex .cd-vert-arrow{display:inline-block;position:relative}.katex .cd-label-left{text-align:left;display:inline-block;position:absolute;right:calc(50% + .3em)}.katex .cd-label-right{text-align:right;display:inline-block;position:absolute;left:calc(50% + .3em)}.katex-display{text-align:center;margin:1em 0;display:block}.katex-display>.katex{text-align:center;white-space:nowrap;display:block}.katex-display>.katex>.katex-html{display:block;position:relative}.katex-display>.katex>.katex-html>.katex-tag{position:absolute;right:0}.katex-display.leqno>.katex>.katex-html>.katex-tag{left:0;right:auto}.katex-display.fleqn>.katex{text-align:left;padding-left:2em}body{counter-reset:katexEqnNo mmlEqnNo}