.overlay-text {
  position: absolute;
  left:     10px;
  top:      10px;
  color:    black;
  opacity:  1.0;
  background-color: rgba(220, 220, 220, .5);
  border:    solid 1px rgba(50, 50, 50, .5);
  padding:   5px;
}

.overlay-text p {
  margin-top:    0px;
  margin-bottom: 10px;
}

.overlay-popup {
  position:  absolute;
  left:      50%;
  top:       100%;
  transform: translate(-50%, -100%);
  color:     black;
  background-color: rgba(220, 220, 220, .5);
  opacity:  1.0;
  border:    solid 1px rgba(50, 50, 50, .5);
  padding:   30px;
  padding-top: 0px;
  box-sizing: border-box;
}

body {
  width: 100%;
  /* Don't take scrollbars into account when resizing */
  overflow: hidden;
}
@font-face{font-family:KaTeX_AMS;src:url(fonts/KaTeX_AMS-Regular.eot);src:url(fonts/KaTeX_AMS-Regular.eot#iefix) format('embedded-opentype'),url(fonts/KaTeX_AMS-Regular.woff2) format('woff2'),url(fonts/KaTeX_AMS-Regular.woff) format('woff'),url(fonts/KaTeX_AMS-Regular.ttf) format('ttf');font-weight:400;font-style:normal}@font-face{font-family:KaTeX_Caligraphic;src:url(fonts/KaTeX_Caligraphic-Bold.eot);src:url(fonts/KaTeX_Caligraphic-Bold.eot#iefix) format('embedded-opentype'),url(fonts/KaTeX_Caligraphic-Bold.woff2) format('woff2'),url(fonts/KaTeX_Caligraphic-Bold.woff) format('woff'),url(fonts/KaTeX_Caligraphic-Bold.ttf) format('ttf');font-weight:700;font-style:normal}@font-face{font-family:KaTeX_Caligraphic;src:url(fonts/KaTeX_Caligraphic-Regular.eot);src:url(fonts/KaTeX_Caligraphic-Regular.eot#iefix) format('embedded-opentype'),url(fonts/KaTeX_Caligraphic-Regular.woff2) format('woff2'),url(fonts/KaTeX_Caligraphic-Regular.woff) format('woff'),url(fonts/KaTeX_Caligraphic-Regular.ttf) format('ttf');font-weight:400;font-style:normal}@font-face{font-family:KaTeX_Fraktur;src:url(fonts/KaTeX_Fraktur-Bold.eot);src:url(fonts/KaTeX_Fraktur-Bold.eot#iefix) format('embedded-opentype'),url(fonts/KaTeX_Fraktur-Bold.woff2) format('woff2'),url(fonts/KaTeX_Fraktur-Bold.woff) format('woff'),url(fonts/KaTeX_Fraktur-Bold.ttf) format('ttf');font-weight:700;font-style:normal}@font-face{font-family:KaTeX_Fraktur;src:url(fonts/KaTeX_Fraktur-Regular.eot);src:url(fonts/KaTeX_Fraktur-Regular.eot#iefix) format('embedded-opentype'),url(fonts/KaTeX_Fraktur-Regular.woff2) format('woff2'),url(fonts/KaTeX_Fraktur-Regular.woff) format('woff'),url(fonts/KaTeX_Fraktur-Regular.ttf) format('ttf');font-weight:400;font-style:normal}@font-face{font-family:KaTeX_Main;src:url(fonts/KaTeX_Main-Bold.eot);src:url(fonts/KaTeX_Main-Bold.eot#iefix) format('embedded-opentype'),url(fonts/KaTeX_Main-Bold.woff2) format('woff2'),url(fonts/KaTeX_Main-Bold.woff) format('woff'),url(fonts/KaTeX_Main-Bold.ttf) format('ttf');font-weight:700;font-style:normal}@font-face{font-family:KaTeX_Main;src:url(fonts/KaTeX_Main-Italic.eot);src:url(fonts/KaTeX_Main-Italic.eot#iefix) format('embedded-opentype'),url(fonts/KaTeX_Main-Italic.woff2) format('woff2'),url(fonts/KaTeX_Main-Italic.woff) format('woff'),url(fonts/KaTeX_Main-Italic.ttf) format('ttf');font-weight:400;font-style:italic}@font-face{font-family:KaTeX_Main;src:url(fonts/KaTeX_Main-Regular.eot);src:url(fonts/KaTeX_Main-Regular.eot#iefix) format('embedded-opentype'),url(fonts/KaTeX_Main-Regular.woff2) format('woff2'),url(fonts/KaTeX_Main-Regular.woff) format('woff'),url(fonts/KaTeX_Main-Regular.ttf) format('ttf');font-weight:400;font-style:normal}@font-face{font-family:KaTeX_Math;src:url(fonts/KaTeX_Math-Italic.eot);src:url(fonts/KaTeX_Math-Italic.eot#iefix) format('embedded-opentype'),url(fonts/KaTeX_Math-Italic.woff2) format('woff2'),url(fonts/KaTeX_Math-Italic.woff) format('woff'),url(fonts/KaTeX_Math-Italic.ttf) format('ttf');font-weight:400;font-style:italic}@font-face{font-family:KaTeX_SansSerif;src:url(fonts/KaTeX_SansSerif-Regular.eot);src:url(fonts/KaTeX_SansSerif-Regular.eot#iefix) format('embedded-opentype'),url(fonts/KaTeX_SansSerif-Regular.woff2) format('woff2'),url(fonts/KaTeX_SansSerif-Regular.woff) format('woff'),url(fonts/KaTeX_SansSerif-Regular.ttf) format('ttf');font-weight:400;font-style:normal}@font-face{font-family:KaTeX_Script;src:url(fonts/KaTeX_Script-Regular.eot);src:url(fonts/KaTeX_Script-Regular.eot#iefix) format('embedded-opentype'),url(fonts/KaTeX_Script-Regular.woff2) format('woff2'),url(fonts/KaTeX_Script-Regular.woff) format('woff'),url(fonts/KaTeX_Script-Regular.ttf) format('ttf');font-weight:400;font-style:normal}@font-face{font-family:KaTeX_Size1;src:url(fonts/KaTeX_Size1-Regular.eot);src:url(fonts/KaTeX_Size1-Regular.eot#iefix) format('embedded-opentype'),url(fonts/KaTeX_Size1-Regular.woff2) format('woff2'),url(fonts/KaTeX_Size1-Regular.woff) format('woff'),url(fonts/KaTeX_Size1-Regular.ttf) format('ttf');font-weight:400;font-style:normal}@font-face{font-family:KaTeX_Size2;src:url(fonts/KaTeX_Size2-Regular.eot);src:url(fonts/KaTeX_Size2-Regular.eot#iefix) format('embedded-opentype'),url(fonts/KaTeX_Size2-Regular.woff2) format('woff2'),url(fonts/KaTeX_Size2-Regular.woff) format('woff'),url(fonts/KaTeX_Size2-Regular.ttf) format('ttf');font-weight:400;font-style:normal}@font-face{font-family:KaTeX_Size3;src:url(fonts/KaTeX_Size3-Regular.eot);src:url(fonts/KaTeX_Size3-Regular.eot#iefix) format('embedded-opentype'),url(fonts/KaTeX_Size3-Regular.woff2) format('woff2'),url(fonts/KaTeX_Size3-Regular.woff) format('woff'),url(fonts/KaTeX_Size3-Regular.ttf) format('ttf');font-weight:400;font-style:normal}@font-face{font-family:KaTeX_Size4;src:url(fonts/KaTeX_Size4-Regular.eot);src:url(fonts/KaTeX_Size4-Regular.eot#iefix) format('embedded-opentype'),url(fonts/KaTeX_Size4-Regular.woff2) format('woff2'),url(fonts/KaTeX_Size4-Regular.woff) format('woff'),url(fonts/KaTeX_Size4-Regular.ttf) format('ttf');font-weight:400;font-style:normal}@font-face{font-family:KaTeX_Typewriter;src:url(fonts/KaTeX_Typewriter-Regular.eot);src:url(fonts/KaTeX_Typewriter-Regular.eot#iefix) format('embedded-opentype'),url(fonts/KaTeX_Typewriter-Regular.woff2) format('woff2'),url(fonts/KaTeX_Typewriter-Regular.woff) format('woff'),url(fonts/KaTeX_Typewriter-Regular.ttf) format('ttf');font-weight:400;font-style:normal}.katex-display{display:block;margin:1em 0;text-align:center}.katex-display>.katex{display:inline-block}.katex{font:400 1.21em KaTeX_Main;line-height:1.2;white-space:nowrap;text-indent:0}.katex .katex-html{display:inline-block}.katex .katex-mathml{position:absolute;clip:rect(1px,1px,1px,1px);padding:0;border:0;height:1px;width:1px;overflow:hidden}.katex .base,.katex .strut{display:inline-block}.katex .mathit{font-family:KaTeX_Math;font-style:italic}.katex .mathbf{font-family:KaTeX_Main;font-weight:700}.katex .amsrm,.katex .mathbb{font-family:KaTeX_AMS}.katex .mathcal{font-family:KaTeX_Caligraphic}.katex .mathfrak{font-family:KaTeX_Fraktur}.katex .mathtt{font-family:KaTeX_Typewriter}.katex .mathscr{font-family:KaTeX_Script}.katex .mathsf{font-family:KaTeX_SansSerif}.katex .mainit{font-family:KaTeX_Main;font-style:italic}.katex .textstyle>.mord+.mop{margin-left:.16667em}.katex .textstyle>.mord+.mbin{margin-left:.22222em}.katex .textstyle>.mord+.mrel{margin-left:.27778em}.katex .textstyle>.mop+.mop,.katex .textstyle>.mop+.mord,.katex .textstyle>.mord+.minner{margin-left:.16667em}.katex .textstyle>.mop+.mrel{margin-left:.27778em}.katex .textstyle>.mop+.minner{margin-left:.16667em}.katex .textstyle>.mbin+.minner,.katex .textstyle>.mbin+.mop,.katex .textstyle>.mbin+.mopen,.katex .textstyle>.mbin+.mord{margin-left:.22222em}.katex .textstyle>.mrel+.minner,.katex .textstyle>.mrel+.mop,.katex .textstyle>.mrel+.mopen,.katex .textstyle>.mrel+.mord{margin-left:.27778em}.katex .textstyle>.mclose+.mop{margin-left:.16667em}.katex .textstyle>.mclose+.mbin{margin-left:.22222em}.katex .textstyle>.mclose+.mrel{margin-left:.27778em}.katex .textstyle>.mclose+.minner,.katex .textstyle>.minner+.mop,.katex .textstyle>.minner+.mord,.katex .textstyle>.mpunct+.mclose,.katex .textstyle>.mpunct+.minner,.katex .textstyle>.mpunct+.mop,.katex .textstyle>.mpunct+.mopen,.katex .textstyle>.mpunct+.mord,.katex .textstyle>.mpunct+.mpunct,.katex .textstyle>.mpunct+.mrel{margin-left:.16667em}.katex .textstyle>.minner+.mbin{margin-left:.22222em}.katex .textstyle>.minner+.mrel{margin-left:.27778em}.katex .mclose+.mop,.katex .minner+.mop,.katex .mop+.mop,.katex .mop+.mord,.katex .mord+.mop,.katex .textstyle>.minner+.minner,.katex .textstyle>.minner+.mopen,.katex .textstyle>.minner+.mpunct{margin-left:.16667em}.katex .reset-textstyle.textstyle{font-size:1em}.katex .reset-textstyle.scriptstyle{font-size:.7em}.katex .reset-textstyle.scriptscriptstyle{font-size:.5em}.katex .reset-scriptstyle.textstyle{font-size:1.42857em}.katex .reset-scriptstyle.scriptstyle{font-size:1em}.katex .reset-scriptstyle.scriptscriptstyle{font-size:.71429em}.katex .reset-scriptscriptstyle.textstyle{font-size:2em}.katex .reset-scriptscriptstyle.scriptstyle{font-size:1.4em}.katex .reset-scriptscriptstyle.scriptscriptstyle{font-size:1em}.katex .style-wrap{position:relative}.katex .vlist{display:inline-block}.katex .vlist>span{display:block;height:0;position:relative}.katex .vlist>span>span{display:inline-block}.katex .vlist .baseline-fix{display:inline-table;table-layout:fixed}.katex .msupsub{text-align:left}.katex .mfrac>span>span{text-align:center}.katex .mfrac .frac-line{width:100%}.katex .mfrac .frac-line:before{border-bottom-style:solid;border-bottom-width:1px;content:"";display:block}.katex .mfrac .frac-line:after{border-bottom-style:solid;border-bottom-width:.04em;content:"";display:block;margin-top:-1px}.katex .mspace{display:inline-block}.katex .mspace.negativethinspace{margin-left:-.16667em}.katex .mspace.thinspace{width:.16667em}.katex .mspace.mediumspace{width:.22222em}.katex .mspace.thickspace{width:.27778em}.katex .mspace.enspace{width:.5em}.katex .mspace.quad{width:1em}.katex .mspace.qquad{width:2em}.katex .llap,.katex .rlap{width:0;position:relative}.katex .llap>.inner,.katex .rlap>.inner{position:absolute}.katex .llap>.fix,.katex .rlap>.fix{display:inline-block}.katex .llap>.inner{right:0}.katex .rlap>.inner{left:0}.katex .katex-logo .a{font-size:.75em;margin-left:-.32em;position:relative;top:-.2em}.katex .katex-logo .t{margin-left:-.23em}.katex .katex-logo .e{margin-left:-.1667em;position:relative;top:.2155em}.katex .katex-logo .x{margin-left:-.125em}.katex .rule{display:inline-block;border-style:solid;position:relative}.katex .overline .overline-line{width:100%}.katex .overline .overline-line:before{border-bottom-style:solid;border-bottom-width:1px;content:"";display:block}.katex .overline .overline-line:after{border-bottom-style:solid;border-bottom-width:.04em;content:"";display:block;margin-top:-1px}.katex .sqrt>.sqrt-sign{position:relative}.katex .sqrt .sqrt-line{width:100%}.katex .sqrt .sqrt-line:before{border-bottom-style:solid;border-bottom-width:1px;content:"";display:block}.katex .sqrt .sqrt-line:after{border-bottom-style:solid;border-bottom-width:.04em;content:"";display:block;margin-top:-1px}.katex .sqrt>.root{margin-left:.27777778em;margin-right:-.55555556em}.katex .fontsize-ensurer,.katex .sizing{display:inline-block}.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:1.4em}.katex .fontsize-ensurer.reset-size1.size3,.katex .sizing.reset-size1.size3{font-size:1.6em}.katex .fontsize-ensurer.reset-size1.size4,.katex .sizing.reset-size1.size4{font-size:1.8em}.katex .fontsize-ensurer.reset-size1.size5,.katex .sizing.reset-size1.size5{font-size:2em}.katex .fontsize-ensurer.reset-size1.size6,.katex .sizing.reset-size1.size6{font-size:2.4em}.katex .fontsize-ensurer.reset-size1.size7,.katex .sizing.reset-size1.size7{font-size:2.88em}.katex .fontsize-ensurer.reset-size1.size8,.katex .sizing.reset-size1.size8{font-size:3.46em}.katex .fontsize-ensurer.reset-size1.size9,.katex .sizing.reset-size1.size9{font-size:4.14em}.katex .fontsize-ensurer.reset-size1.size10,.katex .sizing.reset-size1.size10{font-size:4.98em}.katex .fontsize-ensurer.reset-size2.size1,.katex .sizing.reset-size2.size1{font-size:.71428571em}.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:1.14285714em}.katex .fontsize-ensurer.reset-size2.size4,.katex .sizing.reset-size2.size4{font-size:1.28571429em}.katex .fontsize-ensurer.reset-size2.size5,.katex .sizing.reset-size2.size5{font-size:1.42857143em}.katex .fontsize-ensurer.reset-size2.size6,.katex .sizing.reset-size2.size6{font-size:1.71428571em}.katex .fontsize-ensurer.reset-size2.size7,.katex .sizing.reset-size2.size7{font-size:2.05714286em}.katex .fontsize-ensurer.reset-size2.size8,.katex .sizing.reset-size2.size8{font-size:2.47142857em}.katex .fontsize-ensurer.reset-size2.size9,.katex .sizing.reset-size2.size9{font-size:2.95714286em}.katex .fontsize-ensurer.reset-size2.size10,.katex .sizing.reset-size2.size10{font-size:3.55714286em}.katex .fontsize-ensurer.reset-size3.size1,.katex .sizing.reset-size3.size1{font-size:.625em}.katex .fontsize-ensurer.reset-size3.size2,.katex .sizing.reset-size3.size2{font-size:.875em}.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:1.125em}.katex .fontsize-ensurer.reset-size3.size5,.katex .sizing.reset-size3.size5{font-size:1.25em}.katex .fontsize-ensurer.reset-size3.size6,.katex .sizing.reset-size3.size6{font-size:1.5em}.katex .fontsize-ensurer.reset-size3.size7,.katex .sizing.reset-size3.size7{font-size:1.8em}.katex .fontsize-ensurer.reset-size3.size8,.katex .sizing.reset-size3.size8{font-size:2.1625em}.katex .fontsize-ensurer.reset-size3.size9,.katex .sizing.reset-size3.size9{font-size:2.5875em}.katex .fontsize-ensurer.reset-size3.size10,.katex .sizing.reset-size3.size10{font-size:3.1125em}.katex .fontsize-ensurer.reset-size4.size1,.katex .sizing.reset-size4.size1{font-size:.55555556em}.katex .fontsize-ensurer.reset-size4.size2,.katex .sizing.reset-size4.size2{font-size:.77777778em}.katex .fontsize-ensurer.reset-size4.size3,.katex .sizing.reset-size4.size3{font-size:.88888889em}.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:1.11111111em}.katex .fontsize-ensurer.reset-size4.size6,.katex .sizing.reset-size4.size6{font-size:1.33333333em}.katex .fontsize-ensurer.reset-size4.size7,.katex .sizing.reset-size4.size7{font-size:1.6em}.katex .fontsize-ensurer.reset-size4.size8,.katex .sizing.reset-size4.size8{font-size:1.92222222em}.katex .fontsize-ensurer.reset-size4.size9,.katex .sizing.reset-size4.size9{font-size:2.3em}.katex .fontsize-ensurer.reset-size4.size10,.katex .sizing.reset-size4.size10{font-size:2.76666667em}.katex .fontsize-ensurer.reset-size5.size1,.katex .sizing.reset-size5.size1{font-size:.5em}.katex .fontsize-ensurer.reset-size5.size2,.katex .sizing.reset-size5.size2{font-size:.7em}.katex .fontsize-ensurer.reset-size5.size3,.katex .sizing.reset-size5.size3{font-size:.8em}.katex .fontsize-ensurer.reset-size5.size4,.katex .sizing.reset-size5.size4{font-size:.9em}.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:1.2em}.katex .fontsize-ensurer.reset-size5.size7,.katex .sizing.reset-size5.size7{font-size:1.44em}.katex .fontsize-ensurer.reset-size5.size8,.katex .sizing.reset-size5.size8{font-size:1.73em}.katex .fontsize-ensurer.reset-size5.size9,.katex .sizing.reset-size5.size9{font-size:2.07em}.katex .fontsize-ensurer.reset-size5.size10,.katex .sizing.reset-size5.size10{font-size:2.49em}.katex .fontsize-ensurer.reset-size6.size1,.katex .sizing.reset-size6.size1{font-size:.41666667em}.katex .fontsize-ensurer.reset-size6.size2,.katex .sizing.reset-size6.size2{font-size:.58333333em}.katex .fontsize-ensurer.reset-size6.size3,.katex .sizing.reset-size6.size3{font-size:.66666667em}.katex .fontsize-ensurer.reset-size6.size4,.katex .sizing.reset-size6.size4{font-size:.75em}.katex .fontsize-ensurer.reset-size6.size5,.katex .sizing.reset-size6.size5{font-size:.83333333em}.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:1.44166667em}.katex .fontsize-ensurer.reset-size6.size9,.katex .sizing.reset-size6.size9{font-size:1.725em}.katex .fontsize-ensurer.reset-size6.size10,.katex .sizing.reset-size6.size10{font-size:2.075em}.katex .fontsize-ensurer.reset-size7.size1,.katex .sizing.reset-size7.size1{font-size:.34722222em}.katex .fontsize-ensurer.reset-size7.size2,.katex .sizing.reset-size7.size2{font-size:.48611111em}.katex .fontsize-ensurer.reset-size7.size3,.katex .sizing.reset-size7.size3{font-size:.55555556em}.katex .fontsize-ensurer.reset-size7.size4,.katex .sizing.reset-size7.size4{font-size:.625em}.katex .fontsize-ensurer.reset-size7.size5,.katex .sizing.reset-size7.size5{font-size:.69444444em}.katex .fontsize-ensurer.reset-size7.size6,.katex .sizing.reset-size7.size6{font-size:.83333333em}.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:1.20138889em}.katex .fontsize-ensurer.reset-size7.size9,.katex .sizing.reset-size7.size9{font-size:1.4375em}.katex .fontsize-ensurer.reset-size7.size10,.katex .sizing.reset-size7.size10{font-size:1.72916667em}.katex .fontsize-ensurer.reset-size8.size1,.katex .sizing.reset-size8.size1{font-size:.28901734em}.katex .fontsize-ensurer.reset-size8.size2,.katex .sizing.reset-size8.size2{font-size:.40462428em}.katex .fontsize-ensurer.reset-size8.size3,.katex .sizing.reset-size8.size3{font-size:.46242775em}.katex .fontsize-ensurer.reset-size8.size4,.katex .sizing.reset-size8.size4{font-size:.52023121em}.katex .fontsize-ensurer.reset-size8.size5,.katex .sizing.reset-size8.size5{font-size:.57803468em}.katex .fontsize-ensurer.reset-size8.size6,.katex .sizing.reset-size8.size6{font-size:.69364162em}.katex .fontsize-ensurer.reset-size8.size7,.katex .sizing.reset-size8.size7{font-size:.83236994em}.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:1.19653179em}.katex .fontsize-ensurer.reset-size8.size10,.katex .sizing.reset-size8.size10{font-size:1.43930636em}.katex .fontsize-ensurer.reset-size9.size1,.katex .sizing.reset-size9.size1{font-size:.24154589em}.katex .fontsize-ensurer.reset-size9.size2,.katex .sizing.reset-size9.size2{font-size:.33816425em}.katex .fontsize-ensurer.reset-size9.size3,.katex .sizing.reset-size9.size3{font-size:.38647343em}.katex .fontsize-ensurer.reset-size9.size4,.katex .sizing.reset-size9.size4{font-size:.43478261em}.katex .fontsize-ensurer.reset-size9.size5,.katex .sizing.reset-size9.size5{font-size:.48309179em}.katex .fontsize-ensurer.reset-size9.size6,.katex .sizing.reset-size9.size6{font-size:.57971014em}.katex .fontsize-ensurer.reset-size9.size7,.katex .sizing.reset-size9.size7{font-size:.69565217em}.katex .fontsize-ensurer.reset-size9.size8,.katex .sizing.reset-size9.size8{font-size:.83574879em}.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:1.20289855em}.katex .fontsize-ensurer.reset-size10.size1,.katex .sizing.reset-size10.size1{font-size:.20080321em}.katex .fontsize-ensurer.reset-size10.size2,.katex .sizing.reset-size10.size2{font-size:.2811245em}.katex .fontsize-ensurer.reset-size10.size3,.katex .sizing.reset-size10.size3{font-size:.32128514em}.katex .fontsize-ensurer.reset-size10.size4,.katex .sizing.reset-size10.size4{font-size:.36144578em}.katex .fontsize-ensurer.reset-size10.size5,.katex .sizing.reset-size10.size5{font-size:.40160643em}.katex .fontsize-ensurer.reset-size10.size6,.katex .sizing.reset-size10.size6{font-size:.48192771em}.katex .fontsize-ensurer.reset-size10.size7,.katex .sizing.reset-size10.size7{font-size:.57831325em}.katex .fontsize-ensurer.reset-size10.size8,.katex .sizing.reset-size10.size8{font-size:.69477912em}.katex .fontsize-ensurer.reset-size10.size9,.katex .sizing.reset-size10.size9{font-size:.8313253em}.katex .fontsize-ensurer.reset-size10.size10,.katex .sizing.reset-size10.size10{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 .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>span,.katex .op-limits>.vlist>span{text-align:center}.katex .accent .accent-body>span{width:0}.katex .accent .accent-body.accent-vec>span{position:relative;left:.326em}.katex .mtable .vertical-separator{display:inline-block;margin:0 -.025em;border-right:.05em solid #000}.katex .mtable .arraycolsep{display:inline-block}.katex .mtable .col-align-c>.vlist{text-align:center}.katex .mtable .col-align-l>.vlist{text-align:left}.katex .mtable .col-align-r>.vlist{text-align:right}.shadergraph-graph {
  font: 12px sans-serif;
  line-height: 25px;
  position: relative;
}
.shadergraph-graph:after {
  content: ' ';
  display: block;
  height: 0;
  font-size: 0;
  clear: both;
}
.shadergraph-graph svg {
  pointer-events: none;
}
.shadergraph-clear {
  clear: both;
}
.shadergraph-graph svg {
  position: absolute;
  left: 0;
  right: 0;
  top: 0;
  bottom: 0;
  width: auto;
  height: auto;
}
.shadergraph-column {
  float: left;
}
.shadergraph-node .shadergraph-graph {
  float: left;
  clear: both;
  overflow: visible;
}
.shadergraph-node .shadergraph-graph .shadergraph-node {
  margin: 5px 15px 15px; 
}
.shadergraph-node {
  margin: 5px 15px 25px; 
  background: rgba(0, 0, 0, .1);
  border-radius: 5px;
  box-shadow: 0 1px  2px rgba(0, 0, 0, .2),
              0 1px  10px rgba(0, 0, 0, .2);
  min-height: 35px;
  float: left;
  clear: left;
  position: relative;
}
.shadergraph-type {
  font-weight: bold;
}
.shadergraph-header {
  font-weight: bold;
  text-align: center;
  height: 25px;
  background: rgba(0, 0, 0, .3);
  text-shadow: 0 1px 2px rgba(0, 0, 0, .25);
  color: #fff;
  border-top-left-radius: 5px;
  border-top-right-radius: 5px;
  margin-bottom: 5px;
  padding: 0 10px;
}
.shadergraph-outlet div {
}
.shadergraph-outlet-in .shadergraph-name {
  margin-right: 7px;
}
.shadergraph-outlet-out .shadergraph-name {
  margin-left: 7px;
}

.shadergraph-name {
  margin: 0 4px;
}
.shadergraph-point {
  margin: 6px;
  width:  11px;
  height: 11px;
  border-radius: 7.5px;
  background: rgba(255, 255, 255, 1);
}
.shadergraph-outlet-in {
  float: left;
  clear: left;
}
.shadergraph-outlet-in div {
  float: left;
}
.shadergraph-outlet-out {
  float: right;
  clear: right;
}
.shadergraph-outlet-out div {
  float: right;
}

.shadergraph-node-callback {
  background: rgba(205, 209, 221, .5);
  box-shadow: 0 1px  2px rgba(0, 10, 40, .2),
              0 1px  10px rgba(0, 10, 40, .2);
}
.shadergraph-node-callback > .shadergraph-header {
  background: rgba(0, 20, 80, .3);
}
.shadergraph-graph .shadergraph-graph .shadergraph-node-callback {
  background: rgba(0, 20, 80, .1);
}

.shadergraph-node-call {
  background: rgba(209, 221, 205, .5);
  box-shadow: 0 1px  2px rgba(10, 40, 0, .2),
              0 1px  10px rgba(10, 40, 0, .2);
}
.shadergraph-node-call > .shadergraph-header {
  background: rgba(20, 80, 0, .3);
}
.shadergraph-graph .shadergraph-graph .shadergraph-node-call {
  background: rgba(20, 80, 0, .1);
}

.shadergraph-node-isolate {
  background: rgba(221, 205, 209, .5);
  box-shadow: 0 1px  2px rgba(40, 0, 10, .2),
              0 1px  10px rgba(40, 0, 10, .2);
}
.shadergraph-node-isolate > .shadergraph-header {
  background: rgba(80, 0, 20, .3);
}
.shadergraph-graph .shadergraph-graph .shadergraph-node-isolate {
  background: rgba(80, 0, 20, .1);
}

.shadergraph-node.shadergraph-has-code {
  cursor: pointer;
}
.shadergraph-node.shadergraph-has-code::before {
  position: absolute;
  content: ' ';
  top: 0;
  left: 0;
  right: 0;
  bottom: 0;
  display: none;
  border: 2px solid rgba(0, 0, 0, .25);
  border-radius: 5px;
}
.shadergraph-node.shadergraph-has-code:hover::before {
  display: block;
}
.shadergraph-code {
  z-index: 10000;
  display: none;
  position: absolute;
  background: #fff;
  color: #000;
  white-space: pre;
  padding: 10px;
  border-radius: 5px;
  box-shadow: 0 1px  2px rgba(0, 0, 0, .2),
              0 1px  10px rgba(0, 0, 0, .2);
  font-family: monospace;
  font-size: 10px;
  line-height: 12px;
}

.shadergraph-overlay {
  position: fixed;
  top: 50%;
  left: 0;
  right: 0;
  bottom: 0;
  background: #fff;
  border-top: 1px solid #CCC;
}
.shadergraph-overlay .shadergraph-view {
  position: absolute;
  left: 0;
  top: 0;
  right: 0;
  bottom: 0;
  overflow: auto;
}
.shadergraph-overlay .shadergraph-inside {
  width: 4000px;
  min-height: 100%;
  box-sizing: border-box;
}
.shadergraph-overlay .shadergraph-close {
  position: absolute;
  top: 5px;
  right: 5px;
  padding: 4px;
  border-radius: 16px;
  background: rgba(255,255,255,.3);
  color: rgba(0, 0, 0, .3);
  cursor: pointer;
  font-size: 24px;
  line-height: 24px;
  width: 24px;
  text-align: center;
  vertical-align: middle;
}
.shadergraph-overlay .shadergraph-close:hover {
  background: rgba(255,255,255,1);
  color: rgba(0, 0, 0, 1);
}
.shadergraph-overlay .shadergraph-graph {
  padding-top: 10px;
  overflow: visible;
  min-height: 100%;
}
.shadergraph-overlay span {
  display: block;
  padding: 5px 15px;
  margin: 0;
  background: rgba(0, 0, 0, .1);
  font-weight: bold;
  font-family: sans-serif;
}
.mathbox-loader {
  position: absolute;
  top: 50%;
  left: 50%;
  -webkit-transform: translate(-50%, -50%);
  transform: translate(-50%, -50%);
  padding: 10px;
  border-radius: 50%;
  background: #fff;
}

.mathbox-loader.mathbox-exit {
  opacity: 0;
  -webkit-transition:
    opacity .15s ease-in-out;
  transition:
    opacity .15s ease-in-out;
}

.mathbox-progress {
  height: 10px;
  border-radius: 5px;
  width: 80px;
  margin: 0 auto 20px;
  box-shadow:
     1px  1px 1px rgba(255, 255, 255, .2),
     1px -1px 1px rgba(255, 255, 255, .2),
    -1px  1px 1px rgba(255, 255, 255, .2),
    -1px -1px 1px rgba(255, 255, 255, .2);
  background: #ccc;
  overflow: hidden;
}

.mathbox-progress > div {
  display: block;
  width: 0px;
  height: 10px;
  background: #888;
}

.mathbox-logo {
  position: relative;
  width: 140px;
  height: 100px;
  margin: 0 auto 10px;
  -webkit-perspective: 200px;
  perspective: 200px;
}

.mathbox-logo > div {
  position: absolute;
  left: 0;
  top: 0;
  bottom: 0;
  right: 0;
  -webkit-transform-style: preserve-3d;
  transform-style:         preserve-3d;
}

.mathbox-logo > :nth-child(1) {
  -webkit-transform: rotateZ(22deg) rotateX(24deg) rotateY(30deg);
  transform:         rotateZ(22deg) rotateX(24deg) rotateY(30deg);
}

.mathbox-logo > :nth-child(2) {
  -webkit-transform: rotateZ(11deg) rotateX(12deg) rotateY(15deg) scale3d(.6, .6, .6);
  transform:         rotateZ(11deg) rotateX(12deg) rotateY(15deg) scale3d(.6, .6, .6);
}

.mathbox-logo > div > div {
  position: absolute;
  top: 50%;
  left: 50%;
  margin-left: -100px;
  margin-top: -100px;
  width: 200px;
  height: 200px;
  box-sizing: border-box;
  border-radius: 50%;
}

.mathbox-logo > div > :nth-child(1) {
  -webkit-transform: scale(0.5, 0.5);
  transform:         rotateX(30deg) scale(0.5, 0.5);
}

.mathbox-logo > div > :nth-child(2) {
  -webkit-transform: rotateX(90deg) scale(0.42, 0.42);
  transform:         rotateX(90deg) scale(0.42, 0.42);
}

.mathbox-logo > div > :nth-child(3) {
  -webkit-transform: rotateY(90deg) scale(0.35, 0.35);
  transform:         rotateY(90deg) scale(0.35, 0.35);
}

.mathbox-logo > :nth-child(1) > :nth-child(1) {
  border: 16px solid #808080;
}
.mathbox-logo > :nth-child(1) > :nth-child(2) {
  border: 19px solid #A0A0A0;
}
.mathbox-logo > :nth-child(1) > :nth-child(3) {
  border: 23px solid #C0C0C0;
}
.mathbox-logo > :nth-child(2) > :nth-child(1) {
  border: 27px solid #808080;
}
.mathbox-logo > :nth-child(2) > :nth-child(2) {
  border: 32px solid #A0A0A0;
}
.mathbox-logo > :nth-child(2) > :nth-child(3) {
  border: 38px solid #C0C0C0;
}

.mathbox-splash-blue .mathbox-progress {
  background: #def;
}
.mathbox-splash-blue .mathbox-progress > div {
  background: #1979e7;
}
.mathbox-splash-blue .mathbox-logo > :nth-child(1) > :nth-child(1) {
  border-color: #1979e7;
}
.mathbox-splash-blue .mathbox-logo > :nth-child(1) > :nth-child(2) {
  border-color: #33b0ff;
}
.mathbox-splash-blue .mathbox-logo > :nth-child(1) > :nth-child(3) {
  border-color: #75eaff;
}
.mathbox-splash-blue .mathbox-logo > :nth-child(2) > :nth-child(1) {
  border-color: #18487F;
}
.mathbox-splash-blue .mathbox-logo > :nth-child(2) > :nth-child(2) {
  border-color: #33b0ff;
}
.mathbox-splash-blue .mathbox-logo > :nth-child(2) > :nth-child(3) {
  border-color: #75eaff;
}  




.mathbox-overlays {
  position: absolute;
  left:   0;
  top:    0;
  right:  0;
  bottom: 0;
  pointer-events: none;
  transform-style: preserve-3d;
  overflow: hidden;
}
.mathbox-overlays > div {
  transform-style: preserve-3d;
}
.mathbox-overlay > div {
  position: absolute;
  will-change: transform, opacity;
}
.mathbox-label {
  font-family: sans-serif;
}
.mathbox-outline-1 {
  text-shadow:
    -1px -1px 0px rgb(255, 255, 255),
     1px  1px 0px rgb(255, 255, 255),
    -1px  1px 0px rgb(255, 255, 255),
     1px -1px 0px rgb(255, 255, 255),
     1px  0px 1px rgb(255, 255, 255),
    -1px  0px 1px rgb(255, 255, 255),
     0px -1px 1px rgb(255, 255, 255),
     0px  1px 1px rgb(255, 255, 255);
}
.mathbox-outline-2 {
  text-shadow:
     0px -2px 0px rgb(255, 255, 255),
     0px  2px 0px rgb(255, 255, 255),
    -2px  0px 0px rgb(255, 255, 255),
     2px  0px 0px rgb(255, 255, 255),
    -1px -2px 0px rgb(255, 255, 255),
    -2px -1px 0px rgb(255, 255, 255),
    -1px  2px 0px rgb(255, 255, 255),
    -2px  1px 0px rgb(255, 255, 255),
     1px  2px 0px rgb(255, 255, 255),
     2px  1px 0px rgb(255, 255, 255),
     1px -2px 0px rgb(255, 255, 255),
     2px -1px 0px rgb(255, 255, 255);
}
.mathbox-outline-3 {
  text-shadow:
     3px  0px 0px rgb(255, 255, 255),
    -3px  0px 0px rgb(255, 255, 255),
     0px  3px 0px rgb(255, 255, 255),
     0px -3px 0px rgb(255, 255, 255),

    -2px -2px 0px rgb(255, 255, 255),
    -2px  2px 0px rgb(255, 255, 255),
     2px  2px 0px rgb(255, 255, 255),
     2px -2px 0px rgb(255, 255, 255),

    -1px -2px 1px rgb(255, 255, 255),
    -2px -1px 1px rgb(255, 255, 255),
    -1px  2px 1px rgb(255, 255, 255),
    -2px  1px 1px rgb(255, 255, 255),
     1px  2px 1px rgb(255, 255, 255),
     2px  1px 1px rgb(255, 255, 255),
     1px -2px 1px rgb(255, 255, 255),
     2px -1px 1px rgb(255, 255, 255);
}
.mathbox-outline-4 {
  text-shadow:
     4px  0px 0px rgb(255, 255, 255),
    -4px  0px 0px rgb(255, 255, 255),
     0px  4px 0px rgb(255, 255, 255),
     0px -4px 0px rgb(255, 255, 255),
   
    -3px -2px 0px rgb(255, 255, 255),
    -3px  2px 0px rgb(255, 255, 255),
     3px  2px 0px rgb(255, 255, 255),
     3px -2px 0px rgb(255, 255, 255),
   
    -2px -3px 0px rgb(255, 255, 255),
    -2px  3px 0px rgb(255, 255, 255),
     2px  3px 0px rgb(255, 255, 255),
     2px -3px 0px rgb(255, 255, 255),
   
    -1px -2px 1px rgb(255, 255, 255),
    -2px -1px 1px rgb(255, 255, 255),
    -1px  2px 1px rgb(255, 255, 255),
    -2px  1px 1px rgb(255, 255, 255),
     1px  2px 1px rgb(255, 255, 255),
     2px  1px 1px rgb(255, 255, 255),
     1px -2px 1px rgb(255, 255, 255),
     2px -1px 1px rgb(255, 255, 255);

}
.mathbox-outline-fill, .mathbox-outline-fill * {
  color: #fff !important;
}