:root{--body-bg-color:rgb(60, 60, 60);--body-color:rgb(220, 220, 220);--header-bg-color:rgb(50, 50, 50);--dropdown-button-color:white;--dropdown-content-bg-color:rgb(60, 60, 60);--button-color:white;--image-bg-color:rgba(0, 0, 0, 0.25);--button-bg-color:rgba(0, 0, 0, 0.45);--error-msg-color:rgb(255, 150, 150);--table-border-color:rgba(255, 255, 255, 0.25);--main-max-width:900px;--main-min-width:360px;--icon-size:50px;--icon-margin-vertical:8px;--header-height:calc(var(--icon-size) + (2 * var(--icon-margin-vertical)));--section-padding:10px;--section-margin:30px;--ads-footer-height:3rem;--page-loader-radius:2.5rem;--page-loader-thickness:0.25rem;--content-z-index:1;--header-z-index:2;--dropdown-content-z-index:3;--element-details-z-index:4;--img-filter-invert:0;--root-skew:12deg;--root-margin-top:-0.2em}.light-mode{--body-bg-color:rgb(245, 245, 245);--body-color:rgb(60, 60, 60);--header-bg-color:rgb(230, 230, 230);--dropdown-button-color:black;--dropdown-content-bg-color:rgb(235, 235, 235);--table-border-color:rgba(0, 0, 0, 0.20);--img-filter-invert:1}*{box-sizing:border-box;-webkit-tap-highlight-color:rgba(0,0,0,.2)}#page-loader{margin:10rem auto}.material-circular-progress{display:block;-webkit-appearance:none;-moz-appearance:none;appearance:none;box-sizing:border-box;border:none;border-radius:50%;padding:.25em;width:var(--page-loader-radius);height:var(--page-loader-radius);margin:10rem auto;color:var(--body-color);background-color:transparent;font-size:1rem;overflow:hidden}.material-circular-progress:indeterminate{-webkit-mask-image:linear-gradient(transparent 50%,#000 50%),linear-gradient(to right,transparent 50%,#000 50%);mask-image:linear-gradient(transparent 50%,#000 50%),linear-gradient(to right,transparent 50%,#000 50%);animation:material-circular-progress 6s infinite cubic-bezier(.3,.6,1,1)}.material-circular-progress:indeterminate,:-ms-lang(x){animation:none}.material-circular-progress:indeterminate::-webkit-progress-value,.material-circular-progress:indeterminate::before{content:"";display:block;box-sizing:border-box;margin-bottom:.25em;border:solid var(--page-loader-thickness) transparent;border-top-color:currentColor;border-radius:50%;width:100%!important;height:100%;background-color:transparent;animation:pure-material-progress-circular-pseudo .75s infinite linear alternate}.material-circular-progress:indeterminate::-moz-progress-bar{box-sizing:border-box;border:solid var(--page-loader-thickness) transparent;border-top-color:currentColor;border-radius:50%;width:100%;height:100%;background-color:transparent;animation:pure-material-progress-circular-pseudo .75s infinite linear alternate}.material-circular-progress:indeterminate::-ms-fill{animation-name:-ms-ring}@keyframes material-circular-progress{0%{transform:rotate(0)}12.5%{transform:rotate(180deg);animation-timing-function:linear}25%{transform:rotate(630deg)}37.5%{transform:rotate(810deg);animation-timing-function:linear}50%{transform:rotate(1260deg)}62.5%{transform:rotate(1440deg);animation-timing-function:linear}75%{transform:rotate(1890deg)}87.5%{transform:rotate(2070deg);animation-timing-function:linear}100%{transform:rotate(2520deg)}}@keyframes pure-material-progress-circular-pseudo{0%{transform:rotate(-30deg)}29.4%{border-left-color:transparent}29.41%{border-left-color:currentColor}64.7%{border-bottom-color:transparent}64.71%{border-bottom-color:currentColor}100%{border-left-color:currentColor;border-bottom-color:currentColor;transform:rotate(225deg)}}body{margin:0;padding:0;height:auto;background:var(--body-bg-color);color:var(--body-color);line-height:1.5}#body-wrapper{display:none}main>header{position:fixed;top:0;width:100%;max-width:var(--main-max-width);min-width:var(--main-min-width);margin:auto;display:flex;flex-direction:row;justify-content:start;align-items:center;background:var(--header-bg-color);padding:0;border-radius:0 0 6px 6px;z-index:var(--header-z-index)}.dropdown-button{padding:20px;margin:0;border:none;cursor:pointer}.dropdown-button li{background:none repeat scroll 0 0 var(--dropdown-button-color);height:7px;width:7px;line-height:0;list-style:none outside none;margin-top:3px;vertical-align:top;border-radius:50%;pointer-events:none}.dropdown-content{display:none;position:absolute;right:0;margin-right:10px;background-color:var(--dropdown-content-bg-color);min-width:160px;overflow:auto;box-shadow:0 8px 16px 0 rgba(0,0,0,.4);z-index:var(--dropdown-content-z-index)}.dropdown-content a{display:block;color:inherit;padding:12px 16px;text-decoration:none}.dropdown-content a:hover{background-color:rgba(0,0,0,.1)}.dropdown-content-show{display:block}main{max-width:var(--main-max-width);min-width:var(--main-min-width);margin:auto;min-height:40vh;padding-top:var(--header-height);box-shadow:30px 0 40px rgba(0,0,0,.1),-30px 0 40px rgba(0,0,0,.1)}#header-icon{position:relative;float:left;height:var(--icon-size);width:auto;margin:var(--icon-margin-vertical) 20px;border-radius:10px;padding:0}#header-icon img{height:100%}#search-bar{position:relative;width:100%;padding-left:18px;margin-right:20px;border:none;outline:0;height:35px;border-radius:10px}#header-title{width:100%;font-size:1.3rem;font-weight:700}#content{position:relative;padding:var(--section-margin) 24px;z-index:var(--content-z-index)}.info-container{display:block;width:90%;padding:var(--section-padding);margin:0 auto 8px auto}.info-header{font-size:1.5rem;font-weight:700}.info-subheader{font-size:1.2rem;font-weight:700;margin-bottom:0}.info{margin-bottom:2rem}ul{margin:.5rem 0}.text-header{font-size:1.5rem;font-weight:700}.text-subheader{font-size:1.2rem;font-weight:700}.gap-4{height:.25rem}.gap-8{height:.5rem}.gap-12{height:.75rem}.gap-16{height:1rem}.gap-20{height:1.25rem}.gap-24{height:1.5rem}.gap-32{height:2rem}.sp-2{margin-right:2px}.sp-4{margin-right:4px}.error-container{padding:1rem;text-align:center}.error-msg{color:var(--error-msg-color);font-weight:700;margin:2rem 1rem}.number-input{padding-left:18px;margin-right:12px;border:none;outline:0;height:35px;border-radius:10px}.options{height:35px;padding:0 16px}.flex-row{display:flex;flex-direction:row;align-items:flex-start}.flex-row-item:nth-child(1){flex-grow:1}.small-button{display:block;border-radius:1rem;outline:0;border:none;padding:.75rem .75rem;color:var(--button-color);background:var(--button-bg-color);cursor:pointer}.big-button{border-radius:1rem;outline:0;border:none;padding:1rem 2rem;color:var(--button-color);background:var(--button-bg-color);cursor:pointer}#formula-list{position:relative;list-style-type:none;padding:0;margin:auto;width:70%}#formula-list li{margin-bottom:2rem}.formula-listheader{margin-top:18px;font-weight:700}#topic-list{position:relative;list-style-type:none;padding:0;margin:auto;width:60%}a:active{background-color:none}#topic-list li a{display:block;text-decoration:none;color:inherit;width:100%;padding:10px}.img-container{width:99%;margin:0 auto var(--section-margin) auto;padding:var(--section-padding);box-shadow:3px 2px 8px 3px rgba(0,0,0,.1)}.img-shape{display:block;max-height:360px;margin:10px auto;filter:invert(var(--img-filter-invert))}.img-diagram{display:block}.formula-container{display:block;width:99%;padding:var(--section-padding);margin:0 auto var(--section-margin) auto;box-shadow:3px 2px 8px 3px rgba(0,0,0,.1)}.formula-header{font-size:1.1rem;font-weight:700}.formula-definition{font-style:italic;padding:8px 0}.formula-notes{padding:var(--section-padding) 0}.formula-property-list{margin-top:10px;padding-left:1rem}.formula-property-list li{padding-left:.5rem;padding-bottom:5px}.formula-property{margin-left:.5rem;padding-left:1.5rem}.subtype{margin-left:1rem;padding-bottom:var(--section-padding)}.formula-subheader{margin-top:18px;font-weight:700}.formula{margin:10px 12px 0 12px;overflow-x:scroll}.formula-table tr td{vertical-align:middle;padding-right:10px;padding-top:8px;white-space:nowrap}.formula-table-list tr td{vertical-align:baseline;white-space:nowrap;padding-bottom:.75em}.formula-table-list>tbody>tr>td:first-child{padding-right:.5em;font-weight:700}td.key{padding-right:10px}td.val{text-indent:-16px;padding-left:16px}td.eq{text-align:center;vertical-align:middle}.bordered-table,.bordered-table td,.bordered-table th{white-space:nowrap;border-collapse:collapse;border:1px solid var(--table-border-color);padding:.25rem var(--section-padding)}sub,sup{font-size:75%;margin:0 2px}.fraction-sup{line-height:3rem;vertical-align:text-bottom}.symbol{font-family:Arial;font-style:normal;vertical-align:middle}var{margin:0 2px;font-family:monospace;font-style:normal;font-size:1.3rem}.formula-grid-1{display:grid;grid-template-columns:max-content}.formula-grid-2{display:grid;grid-template-columns:max-content max-content}.formula-grid-1>*,.formula-grid-2>*{padding-left:1em;padding-right:1em}.round-brackets{display:inline-block;border-left:2px solid var(--body-color);border-right:2px solid var(--body-color);border-top-left-radius:.75em;border-top-right-radius:.75em;border-bottom-left-radius:.75em;border-bottom-right-radius:.75em;padding:0 .4em}.fraction-symbol{margin:-4px;display:inline-block;vertical-align:middle;font-size:2rem;transform:scale(.5,1)}.fraction{display:inline-block;position:relative;vertical-align:middle;letter-spacing:.001em;text-align:center;margin:.2em .15em}.fraction>span{display:block}.fraction .numerator{white-space:nowrap;scroll-behavior:auto}.fraction .denominator{border-top:thin solid}.root{display:inline-block;vertical-align:middle;border-top:1px solid;border-left:1px solid;transform:skew(calc(var(--root-skew) * -1));transform-origin:bottom left;position:relative;line-height:1;padding-left:.25em;margin-top:var(--root-margin-top);margin-left:2px}.margin-right{margin-right:.75em}.root .fraction{line-height:1.5}.root:before{content:"";position:absolute;bottom:0;height:25%;max-height:.75em;width:2px;left:-3px;border-top:1px solid;border-right:1px solid;transform:skew(30deg);transform-origin:bottom right}.radicand{display:inline-block;transform:skew(var(--root-skew))}.nthroot{margin-right:-5px;vertical-align:12px;font-size:.6rem}.root-top{padding-top:1px;border-top:1px solid}.bar{border-top:1px solid}.abs{display:inline-block;border-left:1px solid;border-right:1px solid;padding:0 2px}.vector-bar{font-size:1.3rem;vertical-align:.1rem;margin-right:-.25rem;margin-left:.25rem;margin-top:0;width:100%}.supsub{display:inline-flex;flex-direction:column;justify-content:space-between;vertical-align:middle;height:2.25em;margin-left:-1px;line-height:1}.lim-cont{display:inline-block;text-align:center;font-style:normal}.lim-top{vertical-align:top}.lim-mid{vertical-align:middle}.lim-btm{vertical-align:bottom}.lim-lft{margin-left:-2px}.lim-up{display:block;font-size:75%;margin-bottom:-3px}.lim-dn{display:block;font-size:75%;margin-top:-3px}.lim-sym{display:block;font-size:125%}.formula-description{filter:brightness(80%);padding-left:10px;margin-left:20px;margin-top:10px}.formula-description td{text-align:start;vertical-align:top}.problem-container{margin-left:30px}.problem-statement{font-weight:700}a{text-decoration:none;color:inherit}footer{text-align:center;padding:2rem 1rem;margin:auto;padding-bottom:var(--ads-footer-height)}footer>table{width:fit-content;margin:auto}.footer-link{text-align:start;padding:5px 15px}footer a{text-decoration:none;color:inherit;margin-left:10px;margin-right:10px}footer a:hover{font-weight:700}@media only screen and (max-width:450px){#content{padding:var(--section-margin) 8px}.formula-container{width:100%}#formula-list{width:95%}#topic-list{width:90%}}