body {
  font-family: Helvetica, sans-serif;
  color: #354046;
  line-height: 1.4;
  font-size: 16pt;
  word-wrap: break-word;
}


/* Remark ------------------------------------------------------------------- */

.remark-container {
  background: #ddd;
}

.remark-slide-content {
  font-size: 1em;
  border-top: solid 5px #520b92;
  padding-top: 0.5em;
  vertical-align: middle;
}

.remark-slide-content h1 {
  font-weight: bold;
  font-size: 1.9em;
  margin: 0.25em 0;
  color: #520b92;
}

.remark-slide-content h2 {
  font-size: 1.5em;
  font-weight: bold;
  margin: 0.25em 0;
}

.remark-slide-content h3 {
  font-size: 1.2em;
  font-weight: bold;
  margin: 0.25em 0;
}

.remark-slide-content p,
.remark-slide-content ul,
.remark-slide-content ol {
  font-size: 1.2em;
  margin: 0.5em 0;
}

.remark-slide-number {
  font-size: 0.5em;
  bottom: 2em;
}

/* Styles ------------------------------------------------------------------- */

a {
  color: #008000;
  text-decoration: none;
}

a:hover {
  text-decoration: underline;
}

.italic {
  font-style: italic;
}

.bold {
  font-weight: bold;
}

em {
  font-style: italic;
}

strong {
  font-style: normal;
  font-weight: bold;
}

pre {
  margin: 0.2em;
}

.larger {
  font-size: 1.3em;
}

.smaller {
  font-size: 0.8em;
}

.smaller-x {
  font-size: 0.5em;
}

.katex {
  color: black;
}

.black-slide .katex,
.black-slide h1,
.black-slide a {
  color: white;
}

ul>li,
ol>li {
  margin: 0.3em 0;
}

li>p {
  margin: 0.2em 0;
}

ul>li>ul>li {
  font-size: 0.8em;
}

.caption {
  display: block;
  text-align: center;
  font-size: 0.8em;
  font-style: italic;
}

.circle img {
  border-radius: 50%;
}

.stretch img {
  width: 100%;
  height: auto;
}

.footnote {
  position: absolute;
  bottom: 0.5em;
  font-size: 0.8em;
  opacity: 0.9;
  left: 1.5em;
}

.footnote a {
  color: #0288d1;
  /*#20707e;*/
}

.footnote-back {
  position: absolute;
  bottom: 0.5em;
  font-size: 0.7em;
  opacity: 0.9;
  right: 1.5em;
}

.inactive {
  color: lightgray;
}

.success {
  background-color: rgba(40, 167, 69, 0.25);
  border: 2px solid rgb(40, 167, 69);
  border-radius: 5px;
  width: 95%;
  display: block;
  padding: 1em;
}

.alert {
  color: #721c24;
  background-color: #f8d7da;
  border: 2px solid #f5c6cb;
  border-radius: 5px;
  width: 95%;
  display: block;
  padding: 1em;
}

.hljs-github .hljs-comment {
  color: #520b92;
}


/* Specials ----------------------------------------------------------------- */

.title-slide {
  font-size: 1.1em;
  text-align: center;
  vertical-align: middle;
}

.title-slide h1 {
  margin-top: 1em;
}

.chapter-slide {
  background-color: #520b92;
  color: white;
  vertical-align: middle;
  font-size: 1.2em;
  text-align: center;
}

.chapter-slide h1,
.chapter-slide a {
  color: white;
}

.black-slide {
  background-color: black;
  color: white;
  border-top: solid 0px;
}

.red-slide {
  background-color: red;
  color: white;
  border-top: solid 0px;
}

.this-talk-link {
  font-size: 0.8em;
  display: block;
  font-style: italic;
  margin-top: 1em;
}


blockquote {
  font-size: 1.4em;
  width: 75%;
  margin: 0 auto;
  font-style: italic;
  color: #555555;
  padding: 1.2em 30px 1.2em 75px;
  border-left: 8px solid #008000;
  line-height: 1.6;
  position: relative;
  background: #EDEDED;
}


blockquote::before {
  font-family: Arial;
  content: "\201C";
  color: #008000;
  font-size: 4em;
  position: absolute;
  left: 0;
  top: -10px;
}

blockquote::after {
  content: '';
}

blockquote cite {
  display: block;
  color: #333333;
  font-style: normal;
  font-weight: bold;
  margin-top: 1em;
}

.icon {
  background-size: cover;
  display: inline-block;
  transform: scale(1.5);
  margin-top: 12px;
  height: 24px;
  width: 25px;
}

.icon-left {
  margin-right: 16px;
}

.icon-twitter {
  background: url("data:image/svg+xml,%3Csvg width='100%25' height='100%25' viewBox='0 0 24 24' version='1.1' xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' xml:space='preserve' xmlns:serif='http://www.serif.com/' style='fill-rule:evenodd;clip-rule:evenodd;stroke-linejoin:round;stroke-miterlimit:2;'%3E %3Cg transform='matrix(0.995894,0,0,0.995894,0.0514823,0.156485)'%3E %3Cpath d='M24,4.557C23.117,4.949 22.168,5.213 21.172,5.332C22.189,4.723 22.97,3.758 23.337,2.608C22.386,3.172 21.332,3.582 20.21,3.803C19.313,2.846 18.032,2.248 16.616,2.248C13.437,2.248 11.101,5.214 11.819,8.293C7.728,8.088 4.1,6.128 1.671,3.149C0.381,5.362 1.002,8.257 3.194,9.723C2.388,9.697 1.628,9.476 0.965,9.107C0.911,11.388 2.546,13.522 4.914,13.997C4.221,14.185 3.462,14.229 2.69,14.081C3.316,16.037 5.134,17.46 7.29,17.5C5.22,19.123 2.612,19.848 0,19.54C2.179,20.937 4.768,21.752 7.548,21.752C16.69,21.752 21.855,14.031 21.543,7.106C22.505,6.411 23.34,5.544 24,4.557Z' style='fill-rule:nonzero;'/%3E %3C/g%3E %3C/svg%3E ") no-repeat;
}

.icon-twitter-white {
  background: url("data:image/svg+xml,%3Csvg width='100%25' height='100%25' viewBox='0 0 24 24' version='1.1' xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' xml:space='preserve' xmlns:serif='http://www.serif.com/' style='fill-rule:evenodd;clip-rule:evenodd;stroke-linejoin:round;stroke-miterlimit:2;'%3E %3Cg transform='matrix(0.995894,0,0,0.995894,0.0514823,0.156485)'%3E %3Cpath d='M24,4.557C23.117,4.949 22.168,5.213 21.172,5.332C22.189,4.723 22.97,3.758 23.337,2.608C22.386,3.172 21.332,3.582 20.21,3.803C19.313,2.846 18.032,2.248 16.616,2.248C13.437,2.248 11.101,5.214 11.819,8.293C7.728,8.088 4.1,6.128 1.671,3.149C0.381,5.362 1.002,8.257 3.194,9.723C2.388,9.697 1.628,9.476 0.965,9.107C0.911,11.388 2.546,13.522 4.914,13.997C4.221,14.185 3.462,14.229 2.69,14.081C3.316,16.037 5.134,17.46 7.29,17.5C5.22,19.123 2.612,19.848 0,19.54C2.179,20.937 4.768,21.752 7.548,21.752C16.69,21.752 21.855,14.031 21.543,7.106C22.505,6.411 23.34,5.544 24,4.557Z' style='fill:white;fill-rule:nonzero;'/%3E %3C/g%3E %3C/svg%3E ") no-repeat;

}

.icon-github-white {
  background: url("data:image/svg+xml,%3Csvg width='100%25' height='100%25' viewBox='0 0 25 24' version='1.1' xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' xml:space='preserve' xmlns:serif='http://www.serif.com/' style='fill-rule:evenodd;clip-rule:evenodd;stroke-linejoin:round;stroke-miterlimit:2;'%3E %3Cg transform='matrix(1,0,0,1,0.0503063,0.209536)'%3E %3Cpath d='M12,0C5.374,0 0,5.373 0,12C0,17.302 3.438,21.8 8.207,23.387C8.806,23.498 9,23.126 9,22.81L9,20.576C5.662,21.302 4.967,19.16 4.967,19.16C4.421,17.773 3.634,17.404 3.634,17.404C2.545,16.659 3.717,16.675 3.717,16.675C4.922,16.759 5.556,17.912 5.556,17.912C6.626,19.746 8.363,19.216 9.048,18.909C9.155,18.134 9.466,17.604 9.81,17.305C7.145,17 4.343,15.971 4.343,11.374C4.343,10.063 4.812,8.993 5.579,8.153C5.455,7.85 5.044,6.629 5.696,4.977C5.696,4.977 6.704,4.655 8.997,6.207C9.954,5.941 10.98,5.808 12,5.803C13.02,5.808 14.047,5.941 15.006,6.207C17.297,4.655 18.303,4.977 18.303,4.977C18.956,6.63 18.545,7.851 18.421,8.153C19.191,8.993 19.656,10.064 19.656,11.374C19.656,15.983 16.849,16.998 14.177,17.295C14.607,17.667 15,18.397 15,19.517L15,22.81C15,23.129 15.192,23.504 15.801,23.386C20.566,21.797 24,17.3 24,12C24,5.373 18.627,0 12,0Z' style='fill:white;fill-rule:nonzero;'/%3E %3C/g%3E %3C/svg%3E ") no-repeat;
}

.icon-github {
  background: url("data:image/svg+xml,%3Csvg width='100%25' height='100%25' viewBox='0 0 25 24' version='1.1' xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' xml:space='preserve' xmlns:serif='http://www.serif.com/' style='fill-rule:evenodd;clip-rule:evenodd;stroke-linejoin:round;stroke-miterlimit:2;'%3E %3Cg transform='matrix(1,0,0,1,0.0191268,0.228032)'%3E %3Cpath d='M12,0C5.374,0 0,5.373 0,12C0,17.302 3.438,21.8 8.207,23.387C8.806,23.498 9,23.126 9,22.81L9,20.576C5.662,21.302 4.967,19.16 4.967,19.16C4.421,17.773 3.634,17.404 3.634,17.404C2.545,16.659 3.717,16.675 3.717,16.675C4.922,16.759 5.556,17.912 5.556,17.912C6.626,19.746 8.363,19.216 9.048,18.909C9.155,18.134 9.466,17.604 9.81,17.305C7.145,17 4.343,15.971 4.343,11.374C4.343,10.063 4.812,8.993 5.579,8.153C5.455,7.85 5.044,6.629 5.696,4.977C5.696,4.977 6.704,4.655 8.997,6.207C9.954,5.941 10.98,5.808 12,5.803C13.02,5.808 14.047,5.941 15.006,6.207C17.297,4.655 18.303,4.977 18.303,4.977C18.956,6.63 18.545,7.851 18.421,8.153C19.191,8.993 19.656,10.064 19.656,11.374C19.656,15.983 16.849,16.998 14.177,17.295C14.607,17.667 15,18.397 15,19.517L15,22.81C15,23.129 15.192,23.504 15.801,23.386C20.566,21.797 24,17.3 24,12C24,5.373 18.627,0 12,0Z' style='fill-rule:nonzero;'/%3E %3C/g%3E %3C/svg%3E ") no-repeat;
}

.icon-github:hover,
.icon-github-white:hover {
  background: url("data:image/svg+xml,%3Csvg width='100%25' height='100%25' viewBox='0 0 25 24' version='1.1' xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' xml:space='preserve' xmlns:serif='http://www.serif.com/' style='fill-rule:evenodd;clip-rule:evenodd;stroke-linejoin:round;stroke-miterlimit:2;'%3E %3Cg transform='matrix(1,0,0,1,0.0503063,0.209536)'%3E %3Cpath d='M12,0C5.374,0 0,5.373 0,12C0,17.302 3.438,21.8 8.207,23.387C8.806,23.498 9,23.126 9,22.81L9,20.576C5.662,21.302 4.967,19.16 4.967,19.16C4.421,17.773 3.634,17.404 3.634,17.404C2.545,16.659 3.717,16.675 3.717,16.675C4.922,16.759 5.556,17.912 5.556,17.912C6.626,19.746 8.363,19.216 9.048,18.909C9.155,18.134 9.466,17.604 9.81,17.305C7.145,17 4.343,15.971 4.343,11.374C4.343,10.063 4.812,8.993 5.579,8.153C5.455,7.85 5.044,6.629 5.696,4.977C5.696,4.977 6.704,4.655 8.997,6.207C9.954,5.941 10.98,5.808 12,5.803C13.02,5.808 14.047,5.941 15.006,6.207C17.297,4.655 18.303,4.977 18.303,4.977C18.956,6.63 18.545,7.851 18.421,8.153C19.191,8.993 19.656,10.064 19.656,11.374C19.656,15.983 16.849,16.998 14.177,17.295C14.607,17.667 15,18.397 15,19.517L15,22.81C15,23.129 15.192,23.504 15.801,23.386C20.566,21.797 24,17.3 24,12C24,5.373 18.627,0 12,0Z' style='fill:rgb(0,128,0);fill-rule:nonzero;'/%3E %3C/g%3E %3C/svg%3E ") no-repeat;
}

.icon-twitter:hover,
.icon-twitter-white:hover {
  background: url("data:image/svg+xml,%3Csvg width='100%25' height='100%25' viewBox='0 0 24 24' version='1.1' xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' xml:space='preserve' xmlns:serif='http://www.serif.com/' style='fill-rule:evenodd;clip-rule:evenodd;stroke-linejoin:round;stroke-miterlimit:2;'%3E %3Cg transform='matrix(0.995894,0,0,0.995894,0.0514823,0.156485)'%3E %3Cpath d='M24,4.557C23.117,4.949 22.168,5.213 21.172,5.332C22.189,4.723 22.97,3.758 23.337,2.608C22.386,3.172 21.332,3.582 20.21,3.803C19.313,2.846 18.032,2.248 16.616,2.248C13.437,2.248 11.101,5.214 11.819,8.293C7.728,8.088 4.1,6.128 1.671,3.149C0.381,5.362 1.002,8.257 3.194,9.723C2.388,9.697 1.628,9.476 0.965,9.107C0.911,11.388 2.546,13.522 4.914,13.997C4.221,14.185 3.462,14.229 2.69,14.081C3.316,16.037 5.134,17.46 7.29,17.5C5.22,19.123 2.612,19.848 0,19.54C2.179,20.937 4.768,21.752 7.548,21.752C16.69,21.752 21.855,14.031 21.543,7.106C22.505,6.411 23.34,5.544 24,4.557Z' style='fill:rgb(0,128,0);fill-rule:nonzero;'/%3E %3C/g%3E %3C/svg%3E ") no-repeat;

}

.remark-slide table {
  border: none;
  border-collapse: collapse;
  border-spacing: 0;
  color: black;
  table-layout: fixed;
}

.remark-slide table thead {
  border-bottom: 1px solid black;
  vertical-align: bottom;
}

.remark-slide table tr,
.remark-slide table th,
.remark-slide table td {
  text-align: right;
  vertical-align: middle;
  padding: 0.5em 0.5em;
  line-height: normal;
  white-space: normal;
  max-width: none;
  border: none;
}

.remark-slide table th {
  font-weight: bold;
}

.remark-slide table tbody tr:nth-child(odd) {
  background: #f5f5f5;
}

.remark-slide table tbody tr:hover {
  background: rgba(66, 165, 245, 0.2);
}

.remark-slide table.alternationg {
  border: none;
  border-collapse: collapse;
  border-spacing: 0;
}

.remark-slide table.alternating td,
.remark-slide table.alternating tr {
  border: none;
}

.remark-slide table.alternating tbody tr:nth-child(odd) {
  background: #f0f0f0;
}

/* grid */

/* Uncomment and set these variables to customize the grid. */

.g {
  box-sizing: border-box;
  display: -ms-flexbox;
  display: -webkit-box;
  display: flex;
  -ms-flex: 0 1 auto;
  -webkit-box-flex: 0;
  flex: 0 1 auto;
  -ms-flex-direction: row;
  -webkit-box-orient: horizontal;
  -webkit-box-direction: normal;
  flex-direction: row;
  -ms-flex-wrap: wrap;
  flex-wrap: wrap;
  margin: 0.5rem -0.5rem;
}

.g-1 .g-2,
.g-3,
.g-4,
.g-5,
.g-6,
.g-7,
.g-8,
.g-9,
.g-10,
.g-11,
.g-12 {
  box-sizing: border-box;
  -ms-flex: 0 0 auto;
  -webkit-box-flex: 0;
  flex: 0 0 auto;
  padding-right: 1rem;
  padding-left: 1rem;
}

.g-1 {
  -ms-flex-preferred-size: 8.333%;
  flex-basis: 8.333%;
  max-width: 8.333%;
}

.g-2 {
  -ms-flex-preferred-size: 16.667%;
  flex-basis: 16.667%;
  max-width: 16.667%;
}

.g-3 {
  -ms-flex-preferred-size: 25%;
  flex-basis: 25%;
  max-width: 25%;
}

.g-4 {
  -ms-flex-preferred-size: 33.333%;
  flex-basis: 33.333%;
  max-width: 33.333%;
}

.g-5 {
  -ms-flex-preferred-size: 41.667%;
  flex-basis: 41.667%;
  max-width: 41.667%;
}

.g-6 {
  -ms-flex-preferred-size: 50%;
  flex-basis: 50%;
  max-width: 50%;
}

.g-7 {
  -ms-flex-preferred-size: 58.333%;
  flex-basis: 58.333%;
  max-width: 58.333%;
}

.g-8 {
  -ms-flex-preferred-size: 66.667%;
  flex-basis: 66.667%;
  max-width: 66.667%;
}

.g-9 {
  -ms-flex-preferred-size: 75%;
  flex-basis: 75%;
  max-width: 75%;
}

.g-10 {
  -ms-flex-preferred-size: 83.333%;
  flex-basis: 83.333%;
  max-width: 83.333%;
}

.g-11 {
  -ms-flex-preferred-size: 91.667%;
  flex-basis: 91.667%;
  max-width: 91.667%;
}

.g-12 {
  -ms-flex-preferred-size: 100%;
  flex-basis: 100%;
  max-width: 100%;
}

.g-start {
  -ms-flex-pack: start;
  -webkit-box-pack: start;
  justify-content: flex-start;
  text-align: start;
}

.g-center {
  -ms-flex-pack: center;
  -webkit-box-pack: center;
  justify-content: center;
  text-align: center;
}

.g-end {
  -ms-flex-pack: end;
  -webkit-box-pack: end;
  justify-content: flex-end;
  text-align: end;
}

.g-top {
  -ms-flex-align: start;
  -webkit-box-align: start;
  align-items: flex-start;
}

.g-middle {
  -ms-flex-align: center;
  -webkit-box-align: center;
  align-items: center;
}

.g-bottom {
  -ms-flex-align: end;
  -webkit-box-align: end;
  align-items: flex-end;
}

.g-around {
  -ms-flex-pack: distribute;
  justify-content: space-around;
}

.g-between {
  -ms-flex-pack: justify;
  -webkit-box-pack: justify;
  justify-content: space-between;
}