body{-webkit-font-smoothing:antialiased;-moz-osx-font-smoothing:grayscale;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen,Ubuntu,Cantarell,Fira Sans,Droid Sans,Helvetica Neue,sans-serif;margin:0}code{font-family:source-code-pro,Menlo,Monaco,Consolas,Courier New,monospace}@font-face{font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(/CappuSim/static/media/KaTeX_AMS-Regular.73ea273a72f4aca30ca5.woff2) format("woff2"),url(/CappuSim/static/media/KaTeX_AMS-Regular.d562e886c52f12660a41.woff) format("woff"),url(/CappuSim/static/media/KaTeX_AMS-Regular.853be92419a6c3766b9a.ttf) format("truetype")}@font-face{font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(/CappuSim/static/media/KaTeX_Caligraphic-Bold.a1abf90dfd72792a577a.woff2) format("woff2"),url(/CappuSim/static/media/KaTeX_Caligraphic-Bold.d757c535a2e5902f1325.woff) format("woff"),url(/CappuSim/static/media/KaTeX_Caligraphic-Bold.7489a2fbfb9bfe704420.ttf) format("truetype")}@font-face{font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(/CappuSim/static/media/KaTeX_Caligraphic-Regular.d6484fce1ef428d5bd94.woff2) format("woff2"),url(/CappuSim/static/media/KaTeX_Caligraphic-Regular.db074fa22cf224af93d7.woff) format("woff"),url(/CappuSim/static/media/KaTeX_Caligraphic-Regular.7e873d3833eb108a0758.ttf) format("truetype")}@font-face{font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(/CappuSim/static/media/KaTeX_Fraktur-Bold.931d67ea207ab37ee693.woff2) format("woff2"),url(/CappuSim/static/media/KaTeX_Fraktur-Bold.354501bac435c3264834.woff) format("woff"),url(/CappuSim/static/media/KaTeX_Fraktur-Bold.4c761b3711973ab04edf.ttf) format("truetype")}@font-face{font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(/CappuSim/static/media/KaTeX_Fraktur-Regular.172d3529b26f8cedef6b.woff2) format("woff2"),url(/CappuSim/static/media/KaTeX_Fraktur-Regular.6fdf0ac577be0ba82a4c.woff) format("woff"),url(/CappuSim/static/media/KaTeX_Fraktur-Regular.ed305b5434865e06ffde.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url(/CappuSim/static/media/KaTeX_Main-Bold.39890742bc957b368704.woff2) format("woff2"),url(/CappuSim/static/media/KaTeX_Main-Bold.0c3b8929d377c0e9b2f3.woff) format("woff"),url(/CappuSim/static/media/KaTeX_Main-Bold.8169508bf58f8bd92ad8.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(/CappuSim/static/media/KaTeX_Main-BoldItalic.20f389c4120be058d80a.woff2) format("woff2"),url(/CappuSim/static/media/KaTeX_Main-BoldItalic.428978dc7837d46de091.woff) format("woff"),url(/CappuSim/static/media/KaTeX_Main-BoldItalic.828abcb200061cffbaae.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(/CappuSim/static/media/KaTeX_Main-Italic.fe2176f79edaa716e621.woff2) format("woff2"),url(/CappuSim/static/media/KaTeX_Main-Italic.fd947498bc16392e76c2.woff) format("woff"),url(/CappuSim/static/media/KaTeX_Main-Italic.fa675e5e4bec9eb250b6.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(/CappuSim/static/media/KaTeX_Main-Regular.f650f111a3b890d116f1.woff2) format("woff2"),url(/CappuSim/static/media/KaTeX_Main-Regular.4f35fbcc9ee8614c2bcc.woff) format("woff"),url(/CappuSim/static/media/KaTeX_Main-Regular.9eba1d77abcf2aa6e94e.ttf) format("truetype")}@font-face{font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(/CappuSim/static/media/KaTeX_Math-BoldItalic.dcbcbd93bac0470b462d.woff2) format("woff2"),url(/CappuSim/static/media/KaTeX_Math-BoldItalic.3f07ed67f06c720120ce.woff) format("woff"),url(/CappuSim/static/media/KaTeX_Math-BoldItalic.bf2d440b3a42ea78a998.ttf) format("truetype")}@font-face{font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(/CappuSim/static/media/KaTeX_Math-Italic.6d3d25f4820d0da8f01f.woff2) format("woff2"),url(/CappuSim/static/media/KaTeX_Math-Italic.96759856b4e70f3a8338.woff) format("woff"),url(/CappuSim/static/media/KaTeX_Math-Italic.8a5f936332e8028c7278.ttf) format("truetype")}@font-face{font-family:"KaTeX_SansSerif";font-style:normal;font-weight:700;src:url(/CappuSim/static/media/KaTeX_SansSerif-Bold.95591a929f0d32aa282a.woff2) format("woff2"),url(/CappuSim/static/media/KaTeX_SansSerif-Bold.b9cd458ac6d5889ff9c3.woff) format("woff"),url(/CappuSim/static/media/KaTeX_SansSerif-Bold.5b49f4993ae22d7975b4.ttf) format("truetype")}@font-face{font-family:"KaTeX_SansSerif";font-style:italic;font-weight:400;src:url(/CappuSim/static/media/KaTeX_SansSerif-Italic.7d393d382f3e7fb1c637.woff2) format("woff2"),url(/CappuSim/static/media/KaTeX_SansSerif-Italic.8d593cfaa96238d5e2f8.woff) format("woff"),url(/CappuSim/static/media/KaTeX_SansSerif-Italic.b257a18c016f37ee4543.ttf) format("truetype")}@font-face{font-family:"KaTeX_SansSerif";font-style:normal;font-weight:400;src:url(/CappuSim/static/media/KaTeX_SansSerif-Regular.cd5e231e0cc53b2cb2c0.woff2) format("woff2"),url(/CappuSim/static/media/KaTeX_SansSerif-Regular.02271ec5cb9f5b4588ac.woff) format("woff"),url(/CappuSim/static/media/KaTeX_SansSerif-Regular.2f7bc363fc5424ebda59.ttf) format("truetype")}@font-face{font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(/CappuSim/static/media/KaTeX_Script-Regular.c81d1b2a4b75d3eded60.woff2) format("woff2"),url(/CappuSim/static/media/KaTeX_Script-Regular.073b3402d036714b4370.woff) format("woff"),url(/CappuSim/static/media/KaTeX_Script-Regular.fc9ba5249878cd8f8d88.ttf) format("truetype")}@font-face{font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(/CappuSim/static/media/KaTeX_Size1-Regular.6eec866c69313624be60.woff2) format("woff2"),url(/CappuSim/static/media/KaTeX_Size1-Regular.0108e89c9003e8c14ea3.woff) format("woff"),url(/CappuSim/static/media/KaTeX_Size1-Regular.6de7d4b539221a49e9e2.ttf) format("truetype")}@font-face{font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url(/CappuSim/static/media/KaTeX_Size2-Regular.2960900c4f271311eb36.woff2) format("woff2"),url(/CappuSim/static/media/KaTeX_Size2-Regular.3a99e70aee4076660d38.woff) format("woff"),url(/CappuSim/static/media/KaTeX_Size2-Regular.57f5c1837853986ea1db.ttf) format("truetype")}@font-face{font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url(/CappuSim/static/media/KaTeX_Size3-Regular.e1951519f6f0596f7356.woff2) format("woff2"),url(/CappuSim/static/media/KaTeX_Size3-Regular.7947224e8a9914fa332b.woff) format("woff"),url(/CappuSim/static/media/KaTeX_Size3-Regular.8d6b6822586eea3d3b20.ttf) format("truetype")}@font-face{font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(/CappuSim/static/media/KaTeX_Size4-Regular.e418bf257af1052628d8.woff2) format("woff2"),url(/CappuSim/static/media/KaTeX_Size4-Regular.aeffd8025cba3647f1a6.woff) format("woff"),url(/CappuSim/static/media/KaTeX_Size4-Regular.4ad7c7e8bb8d10a34bb7.ttf) format("truetype")}@font-face{font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(/CappuSim/static/media/KaTeX_Typewriter-Regular.c295e7f71970f03c0549.woff2) format("woff2"),url(/CappuSim/static/media/KaTeX_Typewriter-Regular.4c6b94fd1d07f8beff7c.woff) format("woff"),url(/CappuSim/static/media/KaTeX_Typewriter-Regular.c5c02d763c89380dcb4e.ttf) format("truetype")}.katex{font:normal 1.21em KaTeX_Main,Times New Roman,serif;line-height:1.2;text-indent:0;text-rendering:auto}.katex *{-ms-high-contrast-adjust:none!important;border-color:currentColor}.katex .katex-version:after{content:"0.16.22"}.katex .katex-mathml{clip:rect(1px,1px,1px,1px);border:0;height:1px;overflow:hidden;padding:0;position:absolute;width:1px}.katex .katex-html>.newline{display:block}.katex .base{position:relative;white-space:nowrap;width:min-content}.katex .base,.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;display:inline-table;table-layout:fixed}.katex .vlist-r{display:table-row}.katex .vlist{display:table-cell;position:relative;vertical-align:bottom}.katex .vlist>span{display:block;height:0;position:relative}.katex .vlist>span>span{display:inline-block}.katex .vlist>span>.pstrut{overflow:hidden;width:0}.katex .vlist-t2{margin-right:-2px}.katex .vlist-s{display:table-cell;font-size:1px;min-width:2px;vertical-align:bottom;width:2px}.katex .vbox{align-items:baseline;display:inline-flex;flex-direction:column}.katex .hbox{width:100%}.katex .hbox,.katex .thinbox{display:inline-flex;flex-direction:row}.katex .thinbox{max-width:0;width:0}.katex .msupsub{text-align:left}.katex .mfrac>span>span{text-align:center}.katex .mfrac .frac-line{border-bottom-style:solid;display:inline-block;width:100%}.katex .hdashline,.katex .hline,.katex .mfrac .frac-line,.katex .overline .overline-line,.katex .rule,.katex .underline .underline-line{min-height:1px}.katex .mspace{display:inline-block}.katex .clap,.katex .llap,.katex .rlap{position:relative;width:0}.katex .clap>.inner,.katex .llap>.inner,.katex .rlap>.inner{position:absolute}.katex .clap>.fix,.katex .llap>.fix,.katex .rlap>.fix{display:inline-block}.katex .llap>.inner{right:0}.katex .clap>.inner,.katex .rlap>.inner{left:0}.katex .clap>.inner>span{margin-left:-50%;margin-right:50%}.katex .rule{border:0 solid;display:inline-block;position:relative}.katex .hline,.katex .overline .overline-line,.katex .underline .underline-line{border-bottom-style:solid;display:inline-block;width:100%}.katex .hdashline{border-bottom-style:dashed;display:inline-block;width:100%}.katex .sqrt>.root{margin-left:.2777777778em;margin-right:-.5555555556em}.katex .fontsize-ensurer.reset-size1.size1,.katex .sizing.reset-size1.size1{font-size:1em}.katex .fontsize-ensurer.reset-size1.size2,.katex .sizing.reset-size1.size2{font-size:1.2em}.katex .fontsize-ensurer.reset-size1.size3,.katex .sizing.reset-size1.size3{font-size:1.4em}.katex .fontsize-ensurer.reset-size1.size4,.katex .sizing.reset-size1.size4{font-size:1.6em}.katex .fontsize-ensurer.reset-size1.size5,.katex .sizing.reset-size1.size5{font-size:1.8em}.katex .fontsize-ensurer.reset-size1.size6,.katex .sizing.reset-size1.size6{font-size:2em}.katex .fontsize-ensurer.reset-size1.size7,.katex .sizing.reset-size1.size7{font-size:2.4em}.katex .fontsize-ensurer.reset-size1.size8,.katex .sizing.reset-size1.size8{font-size:2.88em}.katex .fontsize-ensurer.reset-size1.size9,.katex .sizing.reset-size1.size9{font-size:3.456em}.katex .fontsize-ensurer.reset-size1.size10,.katex .sizing.reset-size1.size10{font-size:4.148em}.katex .fontsize-ensurer.reset-size1.size11,.katex .sizing.reset-size1.size11{font-size:4.976em}.katex .fontsize-ensurer.reset-size2.size1,.katex .sizing.reset-size2.size1{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size2.size2,.katex .sizing.reset-size2.size2{font-size:1em}.katex .fontsize-ensurer.reset-size2.size3,.katex .sizing.reset-size2.size3{font-size:1.1666666667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .sizing.reset-size2.size4{font-size:1.3333333333em}.katex .fontsize-ensurer.reset-size2.size5,.katex .sizing.reset-size2.size5{font-size:1.5em}.katex .fontsize-ensurer.reset-size2.size6,.katex .sizing.reset-size2.size6{font-size:1.6666666667em}.katex .fontsize-ensurer.reset-size2.size7,.katex .sizing.reset-size2.size7{font-size:2em}.katex .fontsize-ensurer.reset-size2.size8,.katex .sizing.reset-size2.size8{font-size:2.4em}.katex .fontsize-ensurer.reset-size2.size9,.katex .sizing.reset-size2.size9{font-size:2.88em}.katex .fontsize-ensurer.reset-size2.size10,.katex .sizing.reset-size2.size10{font-size:3.4566666667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .sizing.reset-size2.size11{font-size:4.1466666667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .sizing.reset-size3.size1{font-size:.7142857143em}.katex .fontsize-ensurer.reset-size3.size2,.katex .sizing.reset-size3.size2{font-size:.8571428571em}.katex .fontsize-ensurer.reset-size3.size3,.katex .sizing.reset-size3.size3{font-size:1em}.katex .fontsize-ensurer.reset-size3.size4,.katex .sizing.reset-size3.size4{font-size:1.1428571429em}.katex .fontsize-ensurer.reset-size3.size5,.katex .sizing.reset-size3.size5{font-size:1.2857142857em}.katex .fontsize-ensurer.reset-size3.size6,.katex .sizing.reset-size3.size6{font-size:1.4285714286em}.katex .fontsize-ensurer.reset-size3.size7,.katex .sizing.reset-size3.size7{font-size:1.7142857143em}.katex .fontsize-ensurer.reset-size3.size8,.katex .sizing.reset-size3.size8{font-size:2.0571428571em}.katex .fontsize-ensurer.reset-size3.size9,.katex .sizing.reset-size3.size9{font-size:2.4685714286em}.katex .fontsize-ensurer.reset-size3.size10,.katex .sizing.reset-size3.size10{font-size:2.9628571429em}.katex .fontsize-ensurer.reset-size3.size11,.katex .sizing.reset-size3.size11{font-size:3.5542857143em}.katex .fontsize-ensurer.reset-size4.size1,.katex .sizing.reset-size4.size1{font-size:.625em}.katex .fontsize-ensurer.reset-size4.size2,.katex .sizing.reset-size4.size2{font-size:.75em}.katex .fontsize-ensurer.reset-size4.size3,.katex .sizing.reset-size4.size3{font-size:.875em}.katex .fontsize-ensurer.reset-size4.size4,.katex .sizing.reset-size4.size4{font-size:1em}.katex .fontsize-ensurer.reset-size4.size5,.katex .sizing.reset-size4.size5{font-size:1.125em}.katex .fontsize-ensurer.reset-size4.size6,.katex .sizing.reset-size4.size6{font-size:1.25em}.katex .fontsize-ensurer.reset-size4.size7,.katex .sizing.reset-size4.size7{font-size:1.5em}.katex .fontsize-ensurer.reset-size4.size8,.katex .sizing.reset-size4.size8{font-size:1.8em}.katex .fontsize-ensurer.reset-size4.size9,.katex .sizing.reset-size4.size9{font-size:2.16em}.katex .fontsize-ensurer.reset-size4.size10,.katex .sizing.reset-size4.size10{font-size:2.5925em}.katex .fontsize-ensurer.reset-size4.size11,.katex .sizing.reset-size4.size11{font-size:3.11em}.katex .fontsize-ensurer.reset-size5.size1,.katex .sizing.reset-size5.size1{font-size:.5555555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .sizing.reset-size5.size2{font-size:.6666666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .sizing.reset-size5.size3{font-size:.7777777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .sizing.reset-size5.size4{font-size:.8888888889em}.katex .fontsize-ensurer.reset-size5.size5,.katex .sizing.reset-size5.size5{font-size:1em}.katex .fontsize-ensurer.reset-size5.size6,.katex .sizing.reset-size5.size6{font-size:1.1111111111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .sizing.reset-size5.size7{font-size:1.3333333333em}.katex .fontsize-ensurer.reset-size5.size8,.katex .sizing.reset-size5.size8{font-size:1.6em}.katex .fontsize-ensurer.reset-size5.size9,.katex .sizing.reset-size5.size9{font-size:1.92em}.katex .fontsize-ensurer.reset-size5.size10,.katex .sizing.reset-size5.size10{font-size:2.3044444444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .sizing.reset-size5.size11{font-size:2.7644444444em}.katex .fontsize-ensurer.reset-size6.size1,.katex .sizing.reset-size6.size1{font-size:.5em}.katex .fontsize-ensurer.reset-size6.size2,.katex .sizing.reset-size6.size2{font-size:.6em}.katex .fontsize-ensurer.reset-size6.size3,.katex .sizing.reset-size6.size3{font-size:.7em}.katex .fontsize-ensurer.reset-size6.size4,.katex .sizing.reset-size6.size4{font-size:.8em}.katex .fontsize-ensurer.reset-size6.size5,.katex .sizing.reset-size6.size5{font-size:.9em}.katex .fontsize-ensurer.reset-size6.size6,.katex .sizing.reset-size6.size6{font-size:1em}.katex .fontsize-ensurer.reset-size6.size7,.katex .sizing.reset-size6.size7{font-size:1.2em}.katex .fontsize-ensurer.reset-size6.size8,.katex .sizing.reset-size6.size8{font-size:1.44em}.katex .fontsize-ensurer.reset-size6.size9,.katex .sizing.reset-size6.size9{font-size:1.728em}.katex .fontsize-ensurer.reset-size6.size10,.katex .sizing.reset-size6.size10{font-size:2.074em}.katex .fontsize-ensurer.reset-size6.size11,.katex .sizing.reset-size6.size11{font-size:2.488em}.katex .fontsize-ensurer.reset-size7.size1,.katex .sizing.reset-size7.size1{font-size:.4166666667em}.katex .fontsize-ensurer.reset-size7.size2,.katex .sizing.reset-size7.size2{font-size:.5em}.katex .fontsize-ensurer.reset-size7.size3,.katex .sizing.reset-size7.size3{font-size:.5833333333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .sizing.reset-size7.size4{font-size:.6666666667em}.katex .fontsize-ensurer.reset-size7.size5,.katex .sizing.reset-size7.size5{font-size:.75em}.katex .fontsize-ensurer.reset-size7.size6,.katex .sizing.reset-size7.size6{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size7.size7,.katex .sizing.reset-size7.size7{font-size:1em}.katex .fontsize-ensurer.reset-size7.size8,.katex .sizing.reset-size7.size8{font-size:1.2em}.katex .fontsize-ensurer.reset-size7.size9,.katex .sizing.reset-size7.size9{font-size:1.44em}.katex .fontsize-ensurer.reset-size7.size10,.katex .sizing.reset-size7.size10{font-size:1.7283333333em}.katex .fontsize-ensurer.reset-size7.size11,.katex .sizing.reset-size7.size11{font-size:2.0733333333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .sizing.reset-size8.size1{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .sizing.reset-size8.size2{font-size:.4166666667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .sizing.reset-size8.size3{font-size:.4861111111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .sizing.reset-size8.size4{font-size:.5555555556em}.katex .fontsize-ensurer.reset-size8.size5,.katex .sizing.reset-size8.size5{font-size:.625em}.katex .fontsize-ensurer.reset-size8.size6,.katex .sizing.reset-size8.size6{font-size:.6944444444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .sizing.reset-size8.size7{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size8.size8,.katex .sizing.reset-size8.size8{font-size:1em}.katex .fontsize-ensurer.reset-size8.size9,.katex .sizing.reset-size8.size9{font-size:1.2em}.katex .fontsize-ensurer.reset-size8.size10,.katex .sizing.reset-size8.size10{font-size:1.4402777778em}.katex .fontsize-ensurer.reset-size8.size11,.katex .sizing.reset-size8.size11{font-size:1.7277777778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .sizing.reset-size9.size1{font-size:.2893518519em}.katex .fontsize-ensurer.reset-size9.size2,.katex .sizing.reset-size9.size2{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .sizing.reset-size9.size3{font-size:.4050925926em}.katex .fontsize-ensurer.reset-size9.size4,.katex .sizing.reset-size9.size4{font-size:.462962963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .sizing.reset-size9.size5{font-size:.5208333333em}.katex .fontsize-ensurer.reset-size9.size6,.katex .sizing.reset-size9.size6{font-size:.5787037037em}.katex .fontsize-ensurer.reset-size9.size7,.katex .sizing.reset-size9.size7{font-size:.6944444444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .sizing.reset-size9.size8{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size9.size9,.katex .sizing.reset-size9.size9{font-size:1em}.katex .fontsize-ensurer.reset-size9.size10,.katex .sizing.reset-size9.size10{font-size:1.2002314815em}.katex .fontsize-ensurer.reset-size9.size11,.katex .sizing.reset-size9.size11{font-size:1.4398148148em}.katex .fontsize-ensurer.reset-size10.size1,.katex .sizing.reset-size10.size1{font-size:.2410800386em}.katex .fontsize-ensurer.reset-size10.size2,.katex .sizing.reset-size10.size2{font-size:.2892960463em}.katex .fontsize-ensurer.reset-size10.size3,.katex .sizing.reset-size10.size3{font-size:.337512054em}.katex .fontsize-ensurer.reset-size10.size4,.katex .sizing.reset-size10.size4{font-size:.3857280617em}.katex .fontsize-ensurer.reset-size10.size5,.katex .sizing.reset-size10.size5{font-size:.4339440694em}.katex .fontsize-ensurer.reset-size10.size6,.katex .sizing.reset-size10.size6{font-size:.4821600771em}.katex .fontsize-ensurer.reset-size10.size7,.katex .sizing.reset-size10.size7{font-size:.5785920926em}.katex .fontsize-ensurer.reset-size10.size8,.katex .sizing.reset-size10.size8{font-size:.6943105111em}.katex .fontsize-ensurer.reset-size10.size9,.katex .sizing.reset-size10.size9{font-size:.8331726133em}.katex .fontsize-ensurer.reset-size10.size10,.katex .sizing.reset-size10.size10{font-size:1em}.katex .fontsize-ensurer.reset-size10.size11,.katex .sizing.reset-size10.size11{font-size:1.1996142719em}.katex .fontsize-ensurer.reset-size11.size1,.katex .sizing.reset-size11.size1{font-size:.2009646302em}.katex .fontsize-ensurer.reset-size11.size2,.katex .sizing.reset-size11.size2{font-size:.2411575563em}.katex .fontsize-ensurer.reset-size11.size3,.katex .sizing.reset-size11.size3{font-size:.2813504823em}.katex .fontsize-ensurer.reset-size11.size4,.katex .sizing.reset-size11.size4{font-size:.3215434084em}.katex .fontsize-ensurer.reset-size11.size5,.katex .sizing.reset-size11.size5{font-size:.3617363344em}.katex .fontsize-ensurer.reset-size11.size6,.katex .sizing.reset-size11.size6{font-size:.4019292605em}.katex .fontsize-ensurer.reset-size11.size7,.katex .sizing.reset-size11.size7{font-size:.4823151125em}.katex .fontsize-ensurer.reset-size11.size8,.katex .sizing.reset-size11.size8{font-size:.578778135em}.katex .fontsize-ensurer.reset-size11.size9,.katex .sizing.reset-size11.size9{font-size:.6945337621em}.katex .fontsize-ensurer.reset-size11.size10,.katex .sizing.reset-size11.size10{font-size:.8336012862em}.katex .fontsize-ensurer.reset-size11.size11,.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{display:inline-block;width:.12em}.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 .accent>.vlist-t,.katex .op-limits>.vlist-t{text-align:center}.katex .accent .accent-body{position:relative}.katex .accent .accent-body:not(.accent-full){width:0}.katex .overlay{display:block}.katex .mtable .vertical-separator{display:inline-block;min-width:1px}.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;fill-rule:nonzero;fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1;display:block;height:inherit;position:absolute;width:100%}.katex svg path{stroke:none}.katex img{border-style:none;max-height:none;max-width:none;min-height:0;min-width:0}.katex .stretchy{display:block;overflow:hidden;position:relative;width:100%}.katex .stretchy:after,.katex .stretchy:before{content:""}.katex .hide-tail{overflow:hidden;position:relative;width:100%}.katex .halfarrow-left{left:0;overflow:hidden;position:absolute;width:50.2%}.katex .halfarrow-right{overflow:hidden;position:absolute;right:0;width:50.2%}.katex .brace-left{left:0;overflow:hidden;position:absolute;width:25.1%}.katex .brace-center{left:25%;overflow:hidden;position:absolute;width:50%}.katex .brace-right{overflow:hidden;position:absolute;right:0;width:25.1%}.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{border:.04em solid;box-sizing:border-box}.katex .cancel-pad{padding:0 .2em}.katex .cancel-lap{margin-left:-.2em;margin-right:-.2em}.katex .sout{border-bottom-style:solid;border-bottom-width:.08em}.katex .angl{border-right:.049em solid;border-top:.049em solid;box-sizing:border-box;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{display:inline-block;position:absolute;right:calc(50% + .3em);text-align:left}.katex .cd-label-right{display:inline-block;left:calc(50% + .3em);position:absolute;text-align:right}.katex-display{display:block;margin:1em 0;text-align:center}.katex-display>.katex{display:block;text-align:center;white-space:nowrap}.katex-display>.katex>.katex-html{display:block;position:relative}.katex-display>.katex>.katex-html>.tag{position:absolute;right:0}.katex-display.leqno>.katex>.katex-html>.tag{left:0;right:auto}.katex-display.fleqn>.katex{padding-left:2em;text-align:left}body{counter-reset:katexEqnNo mmlEqnNo}:root{--primary-color:#8b4513;--primary-dark:#654321;--primary-light:sienna;--secondary-color:#d2691e;--secondary-dark:#b8860b;--secondary-light:#deb887;--text-primary:#3e2723;--text-secondary:#6d4c41;--background:#fdf6e3;--surface:#fff;--border:#efebe9;--gradient-start:var(--primary-color);--gradient-end:var(--secondary-color)}body,html{overflow-x:hidden}*{box-sizing:border-box;margin:0;padding:0}body{background:#fdf6e3;background:var(--background);color:#3e2723;color:var(--text-primary);font-family:Inter,-apple-system,BlinkMacSystemFont,Segoe UI,sans-serif;line-height:1.6}.container{margin:0 auto;max-width:1200px;padding:0 2rem}.header{background:linear-gradient(135deg,#8b4513,#d2691e);background:linear-gradient(135deg,var(--gradient-start) 0,var(--gradient-end) 100%);box-shadow:0 2px 10px #8b451333;color:#fff;padding:1.5rem 0}.header .container{align-items:center;display:flex;justify-content:space-between}.logo h1{font-size:2.5rem;font-weight:700;margin-bottom:.25rem}.tagline{font-size:.9rem;opacity:.9}.header-links a{border:2px solid #ffffff4d;border-radius:5px;color:#fff;padding:.5rem 1rem;text-decoration:none;transition:all .3s ease}.header-links a:hover{background:#fff3;border-color:#fff}.navigation{background:#fff;background:var(--surface);border-bottom:1px solid #efebe9;border-bottom:1px solid var(--border);position:sticky;top:0;z-index:100}.nav-links{display:flex;list-style:none;margin:0;padding:0}.nav-links li{margin-right:3rem}.nav-links a{border-bottom:3px solid #0000;color:#6d4c41;color:var(--text-secondary);display:block;font-weight:500;padding:1.25rem 0;text-decoration:none;transition:all .3s ease}.nav-links a.active,.nav-links a:hover{border-bottom-color:#8b4513;border-bottom-color:var(--primary-color);color:#8b4513;color:var(--primary-color)}.main-content{min-height:80vh;padding:3rem 0}.hero{background:linear-gradient(135deg,#fdf6e3,#f3e5ab);background:linear-gradient(135deg,var(--background) 0,#f3e5ab 100%);border-radius:0 0 20px 20px;margin:-3rem 0 4rem calc(-50vw + 50%);padding:6rem 0;text-align:center;width:100vw}.hero h1{color:#3e2723;color:var(--text-primary);font-size:4rem;font-weight:800;margin-bottom:1.5rem}.lead{color:#6d4c41;color:var(--text-secondary);font-size:1.3rem;line-height:1.8;margin:0 auto;max-width:900px;padding:0 2rem}.features{margin:5rem auto;max-width:1000px}.features h2{color:#3e2723;color:var(--text-primary);font-size:2.8rem;margin-bottom:4rem;text-align:center}.feature-grid{grid-gap:2rem;display:grid;gap:2rem;grid-template-columns:repeat(2,1fr);margin:0 auto 5rem;max-width:800px}.feature-card{background:#fff;background:var(--surface);border:1px solid #efebe9;border:1px solid var(--border);border-radius:16px;box-shadow:0 6px 25px #8b45131a;padding:2rem;text-align:center;transition:transform .3s ease,box-shadow .3s ease}.feature-card:hover{border-color:sienna;border-color:var(--primary-light);box-shadow:0 12px 40px #8b451326;transform:translateY(-8px)}.feature-card h3{color:#8b4513;color:var(--primary-color);font-size:1.5rem;margin-bottom:1.25rem}.feature-card p{color:#6d4c41;color:var(--text-secondary);font-size:1.1rem}.examples h2{color:#3e2723;color:var(--text-primary);font-size:2.8rem;margin-bottom:4rem;text-align:center}.examples-table{background:#fff;background:var(--surface);border:1px solid #efebe9;border:1px solid var(--border);border-radius:16px;box-shadow:0 6px 25px #8b45131a;margin:0 auto;max-width:1000px;overflow:hidden}.example-row{align-items:center;border-bottom:1px solid #efebe9;border-bottom:1px solid var(--border);display:flex;justify-content:space-between;padding:2rem 2.5rem;transition:background .3s ease}.example-row:last-child{border-bottom:none}.example-row:hover{background:#faf7f0}.example-row .case{color:#3e2723;color:var(--text-primary);font-size:1.1rem;font-weight:600}.example-row code{background:linear-gradient(135deg,#8b4513,#654321);background:linear-gradient(135deg,var(--primary-color) 0,var(--primary-dark) 100%);border-radius:8px;color:#fff;font-family:Monaco,Menlo,monospace;font-size:.95rem;padding:.75rem 1.25rem}.documentation,.lbm-theory,.usage-guide{background:#fff;background:var(--surface);border:1px solid #efebe9;border:1px solid var(--border);border-radius:16px;box-shadow:0 6px 25px #8b45131a;margin:0 auto;max-width:1000px;padding:4rem}.documentation h1,.lbm-theory h1,.usage-guide h1{border-bottom:3px solid #8b4513;border-bottom:3px solid var(--primary-color);color:#3e2723;color:var(--text-primary);font-size:2.8rem;margin-bottom:2.5rem;padding-bottom:1.25rem}.documentation h2,.lbm-theory h2,.usage-guide h2{color:#8b4513;color:var(--primary-color);font-size:2rem;margin:2.5rem 0 1.25rem}.documentation h3,.lbm-theory h3,.usage-guide h3{color:#6d4c41;color:var(--text-secondary);font-size:1.3rem;margin:2rem 0 .75rem}.documentation pre,.lbm-theory pre,.usage-guide pre{background:#faf7f0;border-left:4px solid #8b4513;border-left:4px solid var(--primary-color);border-radius:8px;margin:1.5rem 0;overflow-x:auto;padding:1.5rem}.documentation code,.lbm-theory code,.usage-guide code{background:#f5f0e8;border-radius:4px;color:#654321;color:var(--primary-dark);font-family:Monaco,Menlo,monospace;padding:.3rem .6rem}.documentation pre code,.lbm-theory pre code,.usage-guide pre code{background:none;color:#3e2723;color:var(--text-primary);padding:0}.documentation p,.documentation ul,.lbm-theory p,.lbm-theory ul,.usage-guide p,.usage-guide ul{color:#6d4c41;color:var(--text-secondary);font-size:1.1rem;line-height:1.7;margin-bottom:1.25rem}.documentation ul,.lbm-theory ul,.usage-guide ul{margin-left:2rem}@media (max-width:1200px){.container{max-width:100%;padding:0 1.5rem}}@media (max-width:768px){.container{padding:0 1rem}.header .container{flex-direction:column;text-align:center}.logo{margin-bottom:1rem}.nav-links{flex-wrap:wrap;justify-content:center}.nav-links li{margin:0 1rem}.hero{margin:-3rem -1rem 3rem;padding:4rem 0}.hero h1{font-size:2.8rem}.lead{font-size:1.1rem;padding:0 1rem}.feature-grid{gap:1.5rem;grid-template-columns:1fr;max-width:400px}.feature-card{padding:2rem}.example-row{align-items:flex-start;flex-direction:column;gap:1rem;padding:1.5rem}.documentation,.lbm-theory,.usage-guide{margin:0 1rem;padding:2rem}.examples h2,.features h2{font-size:2.2rem}}@media (max-width:480px){.hero h1{font-size:2.2rem}.lead{font-size:1rem}.documentation,.feature-card,.lbm-theory,.usage-guide{padding:1.5rem}}.guide-nav{background:linear-gradient(135deg,#deb887,#fdf6e3);background:linear-gradient(135deg,var(--secondary-light) 0,var(--background) 100%);border-radius:16px;box-shadow:0 10px 30px #8b451314;margin:2rem 0;padding:2rem}.nav-header{margin-bottom:2rem;text-align:center}.nav-header h3{align-items:center;color:#fff;display:flex;font-size:1.5rem;font-weight:600;gap:.5rem;justify-content:center;margin:0 0 .5rem}.nav-subtitle{color:#ffffffd9;font-size:1rem;margin:0}.nav-grid{grid-gap:1rem;display:grid;gap:1rem;grid-template-columns:repeat(auto-fit,minmax(280px,1fr));margin:0 auto;max-width:1200px}.nav-item{align-items:center;background:#fff;background:var(--surface);border:2px solid #0000;border-radius:12px;color:#3e2723;color:var(--text-primary);display:flex;gap:1rem;overflow:hidden;padding:1.25rem;position:relative;text-decoration:none;transition:all .3s ease}.nav-item:before{background:linear-gradient(90deg,#8b4513,#d2691e);background:linear-gradient(90deg,var(--primary-color),var(--secondary-color));content:"";height:3px;left:0;position:absolute;right:0;top:0;transform:scaleX(0);transition:transform .3s ease}.nav-item:hover{border-color:sienna;border-color:var(--primary-light);box-shadow:0 8px 25px #8b451321;transform:translateY(-2px)}.nav-item:hover:before{transform:scaleX(1)}.nav-item-icon{align-items:center;background:linear-gradient(135deg,#8b4513,#d2691e);background:linear-gradient(135deg,var(--primary-color) 0,var(--secondary-color) 100%);border-radius:12px;color:#fff;display:flex;flex-shrink:0;font-size:1.25rem;height:48px;justify-content:center;width:48px}.nav-item-content{display:flex;flex:1 1;flex-direction:column;gap:.25rem}.nav-text{color:#654321;color:var(--primary-dark);font-size:1rem;font-weight:600;line-height:1.2}.nav-description{color:#6d4c41;color:var(--text-secondary);font-size:.875rem;line-height:1.3}@media (max-width:768px){.guide-nav{margin:1rem 0;padding:1.5rem}.nav-grid{gap:.75rem;grid-template-columns:1fr}.nav-item{padding:1rem}.nav-item-icon{font-size:1.125rem;height:40px;width:40px}.nav-text{font-size:.9rem}.nav-description{font-size:.8rem}}.nav-item--prerequisites .nav-item-icon{background:linear-gradient(135deg,#8b4513,#654321);background:linear-gradient(135deg,var(--primary-color) 0,var(--primary-dark) 100%)}.nav-item--installation .nav-item-icon{background:linear-gradient(135deg,#d2691e,#b8860b);background:linear-gradient(135deg,var(--secondary-color) 0,var(--secondary-dark) 100%)}.nav-item--simulations .nav-item-icon{background:linear-gradient(135deg,sienna,#deb887);background:linear-gradient(135deg,var(--primary-light) 0,var(--secondary-light) 100%)}.nav-item--examples .nav-item-icon{background:linear-gradient(135deg,#deb887,#8b4513);background:linear-gradient(135deg,var(--secondary-light) 0,var(--primary-color) 100%)}.nav-item--configuration .nav-item-icon{background:linear-gradient(135deg,#654321,#b8860b);background:linear-gradient(135deg,var(--primary-dark) 0,var(--secondary-dark) 100%)}.nav-item--output .nav-item-icon{background:linear-gradient(135deg,#d2691e,sienna);background:linear-gradient(135deg,var(--secondary-color) 0,var(--primary-light) 100%)}.nav-item--troubleshooting .nav-item-icon{background:linear-gradient(135deg,#deb887,#fff);background:linear-gradient(135deg,var(--secondary-light) 0,var(--surface) 100%)}a[href]{transition:color .2s}a[href],a[href]:hover{color:#d2691e;color:var(--secondary-color);text-decoration:underline}.models-table{background:#fff;background:var(--surface);border-collapse:collapse;border-radius:12px;box-shadow:0 4px 18px #8b451314;font-size:1.05rem;margin:2rem 0;overflow:hidden;width:100%}.models-table td,.models-table th{border-bottom:1px solid #efebe9;border-bottom:1px solid var(--border);padding:1rem 1.5rem;text-align:left}.models-table th{background:#deb887;background:var(--secondary-light);color:#fff;color:var(--surface);font-size:1.1rem;font-weight:700}.models-table tr:last-child td{border-bottom:none}.models-table tbody tr:hover{background:#faf7f0;transition:background .2s}@media (max-width:768px){.models-table td,.models-table th{font-size:.95rem;padding:.75rem .5rem}}
/*# sourceMappingURL=main.06fdc88a.css.map*/