@font-face{font-family:Temml;src:url(/_astro/Temml.CCjoacWt.woff2)format("woff2");font-weight:400;font-style:normal}math{font-size-adjust:none;text-indent:0;text-transform:none;letter-spacing:normal;word-wrap:normal;font-feature-settings:"dtls" off;direction:ltr;font-family:Cambria Math,STIXTwoMath-Regular,NotoSansMath-Regular,math;font-style:normal;font-weight:400;line-height:normal}math *{border-color:currentColor}math.tml-display{width:100%;display:block}.mathcal{font-feature-settings:"ss01"}math .mathscr,mo.tml-prime{font-family:Temml}mfrac>:nth-child(2),msqrt,mover>:first-child{math-shift:compact}.menclose{padding:.5ex 0;display:inline-block;position:relative}.tml-cancelto{background-color:currentColor;padding:.5ex 0;display:inline-block;position:absolute;top:0;left:0;-webkit-mask-image:url("data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg'><defs><marker id='a' markerHeight='5' markerUnits='strokeWidth' markerWidth='7' orient='auto' refX='7' refY='2.5'><path fill='black' d='m0 0 7 2.5L0 5z'/></marker></defs><line x2='100%25' y1='100%25' stroke='black' stroke-width='.06em' marker-end='url(%23a)' vector-effect='non-scaling-stroke'/></svg>");mask-image:url("data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg'><defs><marker id='a' markerHeight='5' markerUnits='strokeWidth' markerWidth='7' orient='auto' refX='7' refY='2.5'><path fill='black' d='m0 0 7 2.5L0 5z'/></marker></defs><line x2='100%25' y1='100%25' stroke='black' stroke-width='.06em' marker-end='url(%23a)' vector-effect='non-scaling-stroke'/></svg>");-webkit-mask-position:0 0;mask-position:0 0;-webkit-mask-size:100% 100%;mask-size:100% 100%;-webkit-mask-repeat:no-repeat;mask-repeat:no-repeat}@supports ((-moz-appearance:none)){.tml-vec{transform:scale(.75)}.ff-narrow{width:0}.ff-nudge-left{margin-left:-.2em}.ff-squash mtd{height:0;display:block}}@supports not ((-moz-appearance:none)){mo.tml-prime{font-family:Temml}.tml-sml-pad{padding-left:.05em}.tml-med-pad{padding-left:.1em}.tml-lrg-pad{padding-left:.15em}}@supports ((-webkit-backdrop-filter:blur(1px))){.wbk-acc{transform:translateY(.431em)}.wbk-sml{transform:translate(.07em)}.wbk-sml-acc{transform:translate(.07em,.431em)}.wbk-sml-vec{transform:scale(.75)translate(.07em)}.wbk-med{transform:translate(.14em)}.wbk-med-acc{transform:translate(.14em,.431em)}.wbk-med-vec{transform:scale(.75)translate(.14em)}.wbk-lrg{transform:translate(.21em)}.wbk-lrg-acc{transform:translate(.21em,.431em)}.wbk-lrg-vec{transform:scale(.75)translate(.21em)}}menclose{-webkit-print-color-adjust:exact;-moz-print-color-adjust:exact;print-color-adjust:exact}.tml-right{text-align:right}.tml-left{text-align:left}.tml-shift-left{margin-left:-200%}@supports (not ((-webkit-backdrop-filter:blur(1px)))) and (not ((-moz-appearance:none))){.chr-sml{transform:translate(.07em)}.chr-sml-vec{transform:scale(.75)translate(.07em)}.chr-med{transform:translate(.14em)}.chr-med-vec{transform:scale(.75)translate(.14em)}.chr-lrg{transform:translate(.21em)}.chr-lrg-vec{transform:scale(.75)translate(.21em)}.tml-shift-left{margin-left:-100%}menclose{padding:.5ex 0;position:relative}.tml-overline{border-top:.065em solid;padding:.1em 0 0}.tml-underline{border-bottom:.065em solid;padding:0 0 .1em}.tml-cancel{background-color:currentColor;width:100%;height:100%;display:inline-block;position:absolute;bottom:0;left:.5px}.upstrike{clip-path:polygon(.05em 100%,0 calc(100% - .05em),calc(100% - .05em) 0,100% .05em)}.downstrike{clip-path:polygon(0 .05em,.05em 0,100% calc(100% - .05em),calc(100% - .05em) 100%)}.sout{clip-path:polygon(0 calc(55% + .0333em),0 calc(55% - .0333em),100% calc(55% - .0333em),100% calc(55% + .0333em))}.tml-xcancel{clip-path:polygon(.05em 0,0 .05em,calc(50% - .05em) 50%,0 calc(100% - .05em),.05em 100%,50% calc(50% + .05em),calc(100% - .05em) 100%,100% calc(100% - .05em),calc(50% + .05em) 50%,100% .05em,calc(100% - .05em) 0%,50% calc(50% - .05em))}.longdiv-top{border-top:.067em solid;padding:.1em .2em .2em .433em}.longdiv-arc{clip-path:inset(0 0 0 .4em);box-sizing:border-box;border:.067em solid;border-radius:70%;width:.7em;position:absolute;top:0;bottom:.1em;left:-.4em;transform:translateY(-.067em)}.menclose{text-align:left;display:inline-block;position:relative}.phasor-bottom{border-bottom:.067em solid;padding:.2em .2em .1em .6em}.phasor-angle{aspect-ratio:.5;clip-path:polygon(.05em 100%,0 calc(100% - .05em),calc(100% - .05em) 0,100% .05em);background-color:currentColor;height:100%;display:inline-block;position:absolute;bottom:-.04em;left:.5px}.tml-fbox{border:1px solid;padding:3pt}.circle-pad{padding:.267em}.textcircle{border:.067em solid;border-radius:50%;position:absolute;inset:0}.actuarial{border-style:solid;border-width:.08em .08em 0 0;margin-right:.03889em;padding:.03889em .03889em 0}.tml-tilde-2{transform:scale(2,1.1)}.tml-tilde-3{transform:scale(3,1.1)}.tml-tilde-4{transform:scale(4,1.1)}.tml-hat-1{transform:scaleX(1.9)}.tml-hat-2{transform:scaleX(3.9)}.tml-hat-3{transform:scaleX(5.8)}.tml-hat-4{transform:scaleX(7.8)}.tml-right{text-align:-webkit-right}.tml-left{text-align:-webkit-left}}.special-fraction{font-family:STIX TWO,Times New Roman,Times,Tinos,serif}math{flex-wrap:wrap;align-items:baseline;display:inline-flex}math>mrow{padding:.5ex 0}mtable.tml-jot>mtr>mtd{padding-top:.7ex;padding-bottom:.7ex}mtable.tml-small mtd{padding-top:.35ex;padding-bottom:.35ex}@-moz-document url-prefix(){math{display:inline}math>mrow{padding:0}mtd,mtable.tml-small mtd{padding-top:0;padding-bottom:0}mtable.tml-jot>mtr>mtd{padding-top:.2ex;padding-bottom:.2ex}}.tml-eqn:before{counter-increment:tmlEqnNo;content:"(" counter(tmlEqnNo) ")"}body{counter-reset:tmlEqnNo}.lee[data-astro-cid-gn2ryltp]{container:lee/inline-size}.lee-layout[data-astro-cid-gn2ryltp]{grid-template-columns:minmax(0,1fr);align-items:start;gap:1rem;display:grid}@container lee (width>=56rem){.lee-layout[data-astro-cid-gn2ryltp]{grid-template-columns:minmax(0,5fr) minmax(0,6fr)}}.lee-card[data-astro-cid-gn2ryltp]{align-content:start;gap:.85rem;min-width:0;display:grid}.lee-card--preview[data-astro-cid-gn2ryltp]{grid-template-rows:auto minmax(11rem,1fr) auto;align-content:stretch;align-self:stretch}.lee-head[data-astro-cid-gn2ryltp]{flex-wrap:wrap;justify-content:space-between;align-items:center;gap:.5rem 1rem;display:flex}.lee-title[data-astro-cid-gn2ryltp]{margin:0;font-size:1.05rem}.lee-tabs[data-astro-cid-gn2ryltp]{flex-wrap:wrap;gap:.35rem;display:flex}.lee-tab[data-astro-cid-gn2ryltp]{border:1px solid var(--line);background:var(--surface);min-height:36px;color:var(--text-2);font:inherit;cursor:pointer;white-space:nowrap;border-radius:999px;flex:none;padding:.3rem .7rem;font-size:.86rem}.lee-tab[data-astro-cid-gn2ryltp][aria-selected=true]{background:var(--primary-wash);border-color:var(--primary-bg);color:var(--text);box-shadow:inset 0 0 0 1px var(--primary-bg)}.lee-tab[data-astro-cid-gn2ryltp]:focus-visible,.lee-key[data-astro-cid-gn2ryltp]:focus-visible{outline:2px solid var(--focus);outline-offset:2px}.lee-grid[data-astro-cid-gn2ryltp]{grid-template-columns:repeat(auto-fill,minmax(2.6rem,1fr));gap:.35rem;display:grid}.lee-grid--wide[data-astro-cid-gn2ryltp]{grid-template-columns:repeat(auto-fill,minmax(4.4rem,1fr))}.lee-grid[data-astro-cid-gn2ryltp][hidden]{display:none}.lee-key[data-astro-cid-gn2ryltp]{border:1px solid var(--line);border-radius:var(--radius-s);background:var(--surface-2);min-width:0;min-height:44px;color:var(--text);font:inherit;cursor:pointer;place-items:center;padding:.2rem .25rem;font-size:1.05rem;line-height:1.1;display:grid;overflow:hidden}.lee-key[data-astro-cid-gn2ryltp]:hover{border-color:var(--line-strong);background:var(--surface-3)}.lee-key__face[data-astro-cid-gn2ryltp]{white-space:nowrap;text-overflow:ellipsis;max-width:100%;font-size:.95em;overflow:hidden}.lee-grid--wide[data-astro-cid-gn2ryltp] .lee-key__face[data-astro-cid-gn2ryltp]{font-size:.8rem}.lee-grid--wide[data-astro-cid-gn2ryltp] .lee-key__face[data-astro-cid-gn2ryltp]:has(math){font-size:.95rem}.lee-input[data-astro-cid-gn2ryltp]{min-height:8.5rem;font-size:.98rem}.lee-error[data-astro-cid-gn2ryltp]{justify-items:start;gap:.5rem;display:grid}.lee-error[data-astro-cid-gn2ryltp][hidden]{display:none}.lee-error__text[data-astro-cid-gn2ryltp]{margin:0}.lee-actions[data-astro-cid-gn2ryltp] .lee-examples[data-astro-cid-gn2ryltp]{width:11rem;max-width:100%;min-height:36px}.lee-recent[data-astro-cid-gn2ryltp] summary[data-astro-cid-gn2ryltp],.lee-code[data-astro-cid-gn2ryltp] summary[data-astro-cid-gn2ryltp]{cursor:pointer;font-size:.92rem;font-weight:600}.lee-recent__list[data-astro-cid-gn2ryltp]{flex-wrap:wrap;gap:.4rem;margin:.6rem 0;padding:0;list-style:none;display:flex}.lee-recent__list[data-astro-cid-gn2ryltp] .chip{font-family:var(--font-mono);text-overflow:ellipsis;white-space:nowrap;max-width:100%;font-size:.8rem;overflow:hidden}.lee-zoom[data-astro-cid-gn2ryltp]{color:var(--text-2);align-items:center;gap:.5rem;font-size:.86rem;display:flex}.lee-zoom[data-astro-cid-gn2ryltp] input[data-astro-cid-gn2ryltp]{width:9rem}.lee-stage-wrap[data-astro-cid-gn2ryltp]{border:1px solid var(--line);border-radius:var(--radius);background:var(--surface);min-height:11rem;display:grid;position:relative}.lee-stage[data-astro-cid-gn2ryltp]{min-width:0;color:var(--text);place-items:center;padding:1.25rem 1rem;font-size:160%;display:grid;overflow:auto hidden}.lee-stage[data-astro-cid-gn2ryltp]:focus-visible{outline:2px solid var(--focus);outline-offset:-2px}.lee-stage[data-astro-cid-gn2ryltp].is-stale{opacity:.45}.lee-empty[data-astro-cid-gn2ryltp]{color:var(--text-3);pointer-events:none;place-items:center;margin:0;font-size:.95rem;display:grid;position:absolute;inset:0}.lee-empty[data-astro-cid-gn2ryltp][hidden]{display:none}.lee-stale[data-astro-cid-gn2ryltp]{color:var(--warning);margin:-.35rem 0 0;font-size:.85rem}.lee-export-row[data-astro-cid-gn2ryltp]{flex-wrap:wrap;align-items:center;gap:.5rem .75rem;display:flex}.lee-export-label[data-astro-cid-gn2ryltp]{min-width:5.5rem;font-size:.92rem;font-weight:600}.lee-options[data-astro-cid-gn2ryltp]{grid-template-columns:repeat(auto-fit,minmax(min(100%,10rem),1fr))}.lee-colour[data-astro-cid-gn2ryltp]{align-items:center;gap:.4rem;display:flex}.lee-colour[data-astro-cid-gn2ryltp] .select[data-astro-cid-gn2ryltp]{flex:auto;min-width:0}.lee-swatch[data-astro-cid-gn2ryltp]{border:1px solid var(--line-strong);border-radius:var(--radius-s);background:var(--surface);flex:none;width:2.75rem;height:2.5rem;padding:.15rem}.lee-swatch[data-astro-cid-gn2ryltp][hidden]{display:none}.lee-code[data-astro-cid-gn2ryltp]{gap:.6rem;display:grid}.lee-code[data-astro-cid-gn2ryltp][open]>[data-astro-cid-gn2ryltp]:not(summary){margin-top:.6rem}.lee-code__out[data-astro-cid-gn2ryltp]{white-space:pre;contain:inline-size;max-height:18rem;margin:0;font-size:.8rem;overflow:auto}.lee[data-astro-cid-gn2ryltp] math{font-family:Cambria Math,STIX Two Math,STIXTwoMath-Regular,Latin Modern Math,Noto Sans Math,math}.lee-stage[data-astro-cid-gn2ryltp] math{max-width:100%}.lee[data-astro-cid-gn2ryltp] .lee-measure{visibility:hidden;pointer-events:none;white-space:nowrap;width:max-content;line-height:normal;display:inline-block;position:absolute;top:0;left:-100000px}