AdditionalMaterial_Section_3.html

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<title>AdditionalMaterial_Section_3</title><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.1.10/require.min.js"></script>
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[hidden],
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dfn {
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h1 {
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sup {
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sub {
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svg:not(:root) {
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figure {
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/*! Source: https://github.com/h5bp/html5-boilerplate/blob/master/src/css/main.css */
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.glyphicon-triangle-bottom:before {
  content: "\e252";
}
.glyphicon-triangle-top:before {
  content: "\e253";
}
.glyphicon-console:before {
  content: "\e254";
}
.glyphicon-superscript:before {
  content: "\e255";
}
.glyphicon-subscript:before {
  content: "\e256";
}
.glyphicon-menu-left:before {
  content: "\e257";
}
.glyphicon-menu-right:before {
  content: "\e258";
}
.glyphicon-menu-down:before {
  content: "\e259";
}
.glyphicon-menu-up:before {
  content: "\e260";
}
* {
  -webkit-box-sizing: border-box;
  -moz-box-sizing: border-box;
  box-sizing: border-box;
}
*:before,
*:after {
  -webkit-box-sizing: border-box;
  -moz-box-sizing: border-box;
  box-sizing: border-box;
}
html {
  font-size: 10px;
  -webkit-tap-highlight-color: rgba(0, 0, 0, 0);
}
body {
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
  font-size: 13px;
  line-height: 1.42857143;
  color: #000;
  background-color: #fff;
}
input,
button,
select,
textarea {
  font-family: inherit;
  font-size: inherit;
  line-height: inherit;
}
a {
  color: #337ab7;
  text-decoration: none;
}
a:hover,
a:focus {
  color: #23527c;
  text-decoration: underline;
}
a:focus {
  outline: 5px auto -webkit-focus-ring-color;
  outline-offset: -2px;
}
figure {
  margin: 0;
}
img {
  vertical-align: middle;
}
.img-responsive,
.thumbnail > img,
.thumbnail a > img,
.carousel-inner > .item > img,
.carousel-inner > .item > a > img {
  display: block;
  max-width: 100%;
  height: auto;
}
.img-rounded {
  border-radius: 3px;
}
.img-thumbnail {
  padding: 4px;
  line-height: 1.42857143;
  background-color: #fff;
  border: 1px solid #ddd;
  border-radius: 2px;
  -webkit-transition: all 0.2s ease-in-out;
  -o-transition: all 0.2s ease-in-out;
  transition: all 0.2s ease-in-out;
  display: inline-block;
  max-width: 100%;
  height: auto;
}
.img-circle {
  border-radius: 50%;
}
hr {
  margin-top: 18px;
  margin-bottom: 18px;
  border: 0;
  border-top: 1px solid #eeeeee;
}
.sr-only {
  position: absolute;
  width: 1px;
  height: 1px;
  margin: -1px;
  padding: 0;
  overflow: hidden;
  clip: rect(0, 0, 0, 0);
  border: 0;
}
.sr-only-focusable:active,
.sr-only-focusable:focus {
  position: static;
  width: auto;
  height: auto;
  margin: 0;
  overflow: visible;
  clip: auto;
}
[role="button"] {
  cursor: pointer;
}
h1,
h2,
h3,
h4,
h5,
h6,
.h1,
.h2,
.h3,
.h4,
.h5,
.h6 {
  font-family: inherit;
  font-weight: 500;
  line-height: 1.1;
  color: inherit;
}
h1 small,
h2 small,
h3 small,
h4 small,
h5 small,
h6 small,
.h1 small,
.h2 small,
.h3 small,
.h4 small,
.h5 small,
.h6 small,
h1 .small,
h2 .small,
h3 .small,
h4 .small,
h5 .small,
h6 .small,
.h1 .small,
.h2 .small,
.h3 .small,
.h4 .small,
.h5 .small,
.h6 .small {
  font-weight: normal;
  line-height: 1;
  color: #777777;
}
h1,
.h1,
h2,
.h2,
h3,
.h3 {
  margin-top: 18px;
  margin-bottom: 9px;
}
h1 small,
.h1 small,
h2 small,
.h2 small,
h3 small,
.h3 small,
h1 .small,
.h1 .small,
h2 .small,
.h2 .small,
h3 .small,
.h3 .small {
  font-size: 65%;
}
h4,
.h4,
h5,
.h5,
h6,
.h6 {
  margin-top: 9px;
  margin-bottom: 9px;
}
h4 small,
.h4 small,
h5 small,
.h5 small,
h6 small,
.h6 small,
h4 .small,
.h4 .small,
h5 .small,
.h5 .small,
h6 .small,
.h6 .small {
  font-size: 75%;
}
h1,
.h1 {
  font-size: 33px;
}
h2,
.h2 {
  font-size: 27px;
}
h3,
.h3 {
  font-size: 23px;
}
h4,
.h4 {
  font-size: 17px;
}
h5,
.h5 {
  font-size: 13px;
}
h6,
.h6 {
  font-size: 12px;
}
p {
  margin: 0 0 9px;
}
.lead {
  margin-bottom: 18px;
  font-size: 14px;
  font-weight: 300;
  line-height: 1.4;
}
@media (min-width: 768px) {
  .lead {
    font-size: 19.5px;
  }
}
small,
.small {
  font-size: 92%;
}
mark,
.mark {
  background-color: #fcf8e3;
  padding: .2em;
}
.text-left {
  text-align: left;
}
.text-right {
  text-align: right;
}
.text-center {
  text-align: center;
}
.text-justify {
  text-align: justify;
}
.text-nowrap {
  white-space: nowrap;
}
.text-lowercase {
  text-transform: lowercase;
}
.text-uppercase {
  text-transform: uppercase;
}
.text-capitalize {
  text-transform: capitalize;
}
.text-muted {
  color: #777777;
}
.text-primary {
  color: #337ab7;
}
a.text-primary:hover,
a.text-primary:focus {
  color: #286090;
}
.text-success {
  color: #3c763d;
}
a.text-success:hover,
a.text-success:focus {
  color: #2b542c;
}
.text-info {
  color: #31708f;
}
a.text-info:hover,
a.text-info:focus {
  color: #245269;
}
.text-warning {
  color: #8a6d3b;
}
a.text-warning:hover,
a.text-warning:focus {
  color: #66512c;
}
.text-danger {
  color: #a94442;
}
a.text-danger:hover,
a.text-danger:focus {
  color: #843534;
}
.bg-primary {
  color: #fff;
  background-color: #337ab7;
}
a.bg-primary:hover,
a.bg-primary:focus {
  background-color: #286090;
}
.bg-success {
  background-color: #dff0d8;
}
a.bg-success:hover,
a.bg-success:focus {
  background-color: #c1e2b3;
}
.bg-info {
  background-color: #d9edf7;
}
a.bg-info:hover,
a.bg-info:focus {
  background-color: #afd9ee;
}
.bg-warning {
  background-color: #fcf8e3;
}
a.bg-warning:hover,
a.bg-warning:focus {
  background-color: #f7ecb5;
}
.bg-danger {
  background-color: #f2dede;
}
a.bg-danger:hover,
a.bg-danger:focus {
  background-color: #e4b9b9;
}
.page-header {
  padding-bottom: 8px;
  margin: 36px 0 18px;
  border-bottom: 1px solid #eeeeee;
}
ul,
ol {
  margin-top: 0;
  margin-bottom: 9px;
}
ul ul,
ol ul,
ul ol,
ol ol {
  margin-bottom: 0;
}
.list-unstyled {
  padding-left: 0;
  list-style: none;
}
.list-inline {
  padding-left: 0;
  list-style: none;
  margin-left: -5px;
}
.list-inline > li {
  display: inline-block;
  padding-left: 5px;
  padding-right: 5px;
}
dl {
  margin-top: 0;
  margin-bottom: 18px;
}
dt,
dd {
  line-height: 1.42857143;
}
dt {
  font-weight: bold;
}
dd {
  margin-left: 0;
}
@media (min-width: 541px) {
  .dl-horizontal dt {
    float: left;
    width: 160px;
    clear: left;
    text-align: right;
    overflow: hidden;
    text-overflow: ellipsis;
    white-space: nowrap;
  }
  .dl-horizontal dd {
    margin-left: 180px;
  }
}
abbr[title],
abbr[data-original-title] {
  cursor: help;
  border-bottom: 1px dotted #777777;
}
.initialism {
  font-size: 90%;
  text-transform: uppercase;
}
blockquote {
  padding: 9px 18px;
  margin: 0 0 18px;
  font-size: inherit;
  border-left: 5px solid #eeeeee;
}
blockquote p:last-child,
blockquote ul:last-child,
blockquote ol:last-child {
  margin-bottom: 0;
}
blockquote footer,
blockquote small,
blockquote .small {
  display: block;
  font-size: 80%;
  line-height: 1.42857143;
  color: #777777;
}
blockquote footer:before,
blockquote small:before,
blockquote .small:before {
  content: '\2014 \00A0';
}
.blockquote-reverse,
blockquote.pull-right {
  padding-right: 15px;
  padding-left: 0;
  border-right: 5px solid #eeeeee;
  border-left: 0;
  text-align: right;
}
.blockquote-reverse footer:before,
blockquote.pull-right footer:before,
.blockquote-reverse small:before,
blockquote.pull-right small:before,
.blockquote-reverse .small:before,
blockquote.pull-right .small:before {
  content: '';
}
.blockquote-reverse footer:after,
blockquote.pull-right footer:after,
.blockquote-reverse small:after,
blockquote.pull-right small:after,
.blockquote-reverse .small:after,
blockquote.pull-right .small:after {
  content: '\00A0 \2014';
}
address {
  margin-bottom: 18px;
  font-style: normal;
  line-height: 1.42857143;
}
code,
kbd,
pre,
samp {
  font-family: monospace;
}
code {
  padding: 2px 4px;
  font-size: 90%;
  color: #c7254e;
  background-color: #f9f2f4;
  border-radius: 2px;
}
kbd {
  padding: 2px 4px;
  font-size: 90%;
  color: #888;
  background-color: transparent;
  border-radius: 1px;
  box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.25);
}
kbd kbd {
  padding: 0;
  font-size: 100%;
  font-weight: bold;
  box-shadow: none;
}
pre {
  display: block;
  padding: 8.5px;
  margin: 0 0 9px;
  font-size: 12px;
  line-height: 1.42857143;
  word-break: break-all;
  word-wrap: break-word;
  color: #333333;
  background-color: #f5f5f5;
  border: 1px solid #ccc;
  border-radius: 2px;
}
pre code {
  padding: 0;
  font-size: inherit;
  color: inherit;
  white-space: pre-wrap;
  background-color: transparent;
  border-radius: 0;
}
.pre-scrollable {
  max-height: 340px;
  overflow-y: scroll;
}
.container {
  margin-right: auto;
  margin-left: auto;
  padding-left: 0px;
  padding-right: 0px;
}
@media (min-width: 768px) {
  .container {
    width: 768px;
  }
}
@media (min-width: 992px) {
  .container {
    width: 940px;
  }
}
@media (min-width: 1200px) {
  .container {
    width: 1140px;
  }
}
.container-fluid {
  margin-right: auto;
  margin-left: auto;
  padding-left: 0px;
  padding-right: 0px;
}
.row {
  margin-left: 0px;
  margin-right: 0px;
}
.col-xs-1, .col-sm-1, .col-md-1, .col-lg-1, .col-xs-2, .col-sm-2, .col-md-2, .col-lg-2, .col-xs-3, .col-sm-3, .col-md-3, .col-lg-3, .col-xs-4, .col-sm-4, .col-md-4, .col-lg-4, .col-xs-5, .col-sm-5, .col-md-5, .col-lg-5, .col-xs-6, .col-sm-6, .col-md-6, .col-lg-6, .col-xs-7, .col-sm-7, .col-md-7, .col-lg-7, .col-xs-8, .col-sm-8, .col-md-8, .col-lg-8, .col-xs-9, .col-sm-9, .col-md-9, .col-lg-9, .col-xs-10, .col-sm-10, .col-md-10, .col-lg-10, .col-xs-11, .col-sm-11, .col-md-11, .col-lg-11, .col-xs-12, .col-sm-12, .col-md-12, .col-lg-12 {
  position: relative;
  min-height: 1px;
  padding-left: 0px;
  padding-right: 0px;
}
.col-xs-1, .col-xs-2, .col-xs-3, .col-xs-4, .col-xs-5, .col-xs-6, .col-xs-7, .col-xs-8, .col-xs-9, .col-xs-10, .col-xs-11, .col-xs-12 {
  float: left;
}
.col-xs-12 {
  width: 100%;
}
.col-xs-11 {
  width: 91.66666667%;
}
.col-xs-10 {
  width: 83.33333333%;
}
.col-xs-9 {
  width: 75%;
}
.col-xs-8 {
  width: 66.66666667%;
}
.col-xs-7 {
  width: 58.33333333%;
}
.col-xs-6 {
  width: 50%;
}
.col-xs-5 {
  width: 41.66666667%;
}
.col-xs-4 {
  width: 33.33333333%;
}
.col-xs-3 {
  width: 25%;
}
.col-xs-2 {
  width: 16.66666667%;
}
.col-xs-1 {
  width: 8.33333333%;
}
.col-xs-pull-12 {
  right: 100%;
}
.col-xs-pull-11 {
  right: 91.66666667%;
}
.col-xs-pull-10 {
  right: 83.33333333%;
}
.col-xs-pull-9 {
  right: 75%;
}
.col-xs-pull-8 {
  right: 66.66666667%;
}
.col-xs-pull-7 {
  right: 58.33333333%;
}
.col-xs-pull-6 {
  right: 50%;
}
.col-xs-pull-5 {
  right: 41.66666667%;
}
.col-xs-pull-4 {
  right: 33.33333333%;
}
.col-xs-pull-3 {
  right: 25%;
}
.col-xs-pull-2 {
  right: 16.66666667%;
}
.col-xs-pull-1 {
  right: 8.33333333%;
}
.col-xs-pull-0 {
  right: auto;
}
.col-xs-push-12 {
  left: 100%;
}
.col-xs-push-11 {
  left: 91.66666667%;
}
.col-xs-push-10 {
  left: 83.33333333%;
}
.col-xs-push-9 {
  left: 75%;
}
.col-xs-push-8 {
  left: 66.66666667%;
}
.col-xs-push-7 {
  left: 58.33333333%;
}
.col-xs-push-6 {
  left: 50%;
}
.col-xs-push-5 {
  left: 41.66666667%;
}
.col-xs-push-4 {
  left: 33.33333333%;
}
.col-xs-push-3 {
  left: 25%;
}
.col-xs-push-2 {
  left: 16.66666667%;
}
.col-xs-push-1 {
  left: 8.33333333%;
}
.col-xs-push-0 {
  left: auto;
}
.col-xs-offset-12 {
  margin-left: 100%;
}
.col-xs-offset-11 {
  margin-left: 91.66666667%;
}
.col-xs-offset-10 {
  margin-left: 83.33333333%;
}
.col-xs-offset-9 {
  margin-left: 75%;
}
.col-xs-offset-8 {
  margin-left: 66.66666667%;
}
.col-xs-offset-7 {
  margin-left: 58.33333333%;
}
.col-xs-offset-6 {
  margin-left: 50%;
}
.col-xs-offset-5 {
  margin-left: 41.66666667%;
}
.col-xs-offset-4 {
  margin-left: 33.33333333%;
}
.col-xs-offset-3 {
  margin-left: 25%;
}
.col-xs-offset-2 {
  margin-left: 16.66666667%;
}
.col-xs-offset-1 {
  margin-left: 8.33333333%;
}
.col-xs-offset-0 {
  margin-left: 0%;
}
@media (min-width: 768px) {
  .col-sm-1, .col-sm-2, .col-sm-3, .col-sm-4, .col-sm-5, .col-sm-6, .col-sm-7, .col-sm-8, .col-sm-9, .col-sm-10, .col-sm-11, .col-sm-12 {
    float: left;
  }
  .col-sm-12 {
    width: 100%;
  }
  .col-sm-11 {
    width: 91.66666667%;
  }
  .col-sm-10 {
    width: 83.33333333%;
  }
  .col-sm-9 {
    width: 75%;
  }
  .col-sm-8 {
    width: 66.66666667%;
  }
  .col-sm-7 {
    width: 58.33333333%;
  }
  .col-sm-6 {
    width: 50%;
  }
  .col-sm-5 {
    width: 41.66666667%;
  }
  .col-sm-4 {
    width: 33.33333333%;
  }
  .col-sm-3 {
    width: 25%;
  }
  .col-sm-2 {
    width: 16.66666667%;
  }
  .col-sm-1 {
    width: 8.33333333%;
  }
  .col-sm-pull-12 {
    right: 100%;
  }
  .col-sm-pull-11 {
    right: 91.66666667%;
  }
  .col-sm-pull-10 {
    right: 83.33333333%;
  }
  .col-sm-pull-9 {
    right: 75%;
  }
  .col-sm-pull-8 {
    right: 66.66666667%;
  }
  .col-sm-pull-7 {
    right: 58.33333333%;
  }
  .col-sm-pull-6 {
    right: 50%;
  }
  .col-sm-pull-5 {
    right: 41.66666667%;
  }
  .col-sm-pull-4 {
    right: 33.33333333%;
  }
  .col-sm-pull-3 {
    right: 25%;
  }
  .col-sm-pull-2 {
    right: 16.66666667%;
  }
  .col-sm-pull-1 {
    right: 8.33333333%;
  }
  .col-sm-pull-0 {
    right: auto;
  }
  .col-sm-push-12 {
    left: 100%;
  }
  .col-sm-push-11 {
    left: 91.66666667%;
  }
  .col-sm-push-10 {
    left: 83.33333333%;
  }
  .col-sm-push-9 {
    left: 75%;
  }
  .col-sm-push-8 {
    left: 66.66666667%;
  }
  .col-sm-push-7 {
    left: 58.33333333%;
  }
  .col-sm-push-6 {
    left: 50%;
  }
  .col-sm-push-5 {
    left: 41.66666667%;
  }
  .col-sm-push-4 {
    left: 33.33333333%;
  }
  .col-sm-push-3 {
    left: 25%;
  }
  .col-sm-push-2 {
    left: 16.66666667%;
  }
  .col-sm-push-1 {
    left: 8.33333333%;
  }
  .col-sm-push-0 {
    left: auto;
  }
  .col-sm-offset-12 {
    margin-left: 100%;
  }
  .col-sm-offset-11 {
    margin-left: 91.66666667%;
  }
  .col-sm-offset-10 {
    margin-left: 83.33333333%;
  }
  .col-sm-offset-9 {
    margin-left: 75%;
  }
  .col-sm-offset-8 {
    margin-left: 66.66666667%;
  }
  .col-sm-offset-7 {
    margin-left: 58.33333333%;
  }
  .col-sm-offset-6 {
    margin-left: 50%;
  }
  .col-sm-offset-5 {
    margin-left: 41.66666667%;
  }
  .col-sm-offset-4 {
    margin-left: 33.33333333%;
  }
  .col-sm-offset-3 {
    margin-left: 25%;
  }
  .col-sm-offset-2 {
    margin-left: 16.66666667%;
  }
  .col-sm-offset-1 {
    margin-left: 8.33333333%;
  }
  .col-sm-offset-0 {
    margin-left: 0%;
  }
}
@media (min-width: 992px) {
  .col-md-1, .col-md-2, .col-md-3, .col-md-4, .col-md-5, .col-md-6, .col-md-7, .col-md-8, .col-md-9, .col-md-10, .col-md-11, .col-md-12 {
    float: left;
  }
  .col-md-12 {
    width: 100%;
  }
  .col-md-11 {
    width: 91.66666667%;
  }
  .col-md-10 {
    width: 83.33333333%;
  }
  .col-md-9 {
    width: 75%;
  }
  .col-md-8 {
    width: 66.66666667%;
  }
  .col-md-7 {
    width: 58.33333333%;
  }
  .col-md-6 {
    width: 50%;
  }
  .col-md-5 {
    width: 41.66666667%;
  }
  .col-md-4 {
    width: 33.33333333%;
  }
  .col-md-3 {
    width: 25%;
  }
  .col-md-2 {
    width: 16.66666667%;
  }
  .col-md-1 {
    width: 8.33333333%;
  }
  .col-md-pull-12 {
    right: 100%;
  }
  .col-md-pull-11 {
    right: 91.66666667%;
  }
  .col-md-pull-10 {
    right: 83.33333333%;
  }
  .col-md-pull-9 {
    right: 75%;
  }
  .col-md-pull-8 {
    right: 66.66666667%;
  }
  .col-md-pull-7 {
    right: 58.33333333%;
  }
  .col-md-pull-6 {
    right: 50%;
  }
  .col-md-pull-5 {
    right: 41.66666667%;
  }
  .col-md-pull-4 {
    right: 33.33333333%;
  }
  .col-md-pull-3 {
    right: 25%;
  }
  .col-md-pull-2 {
    right: 16.66666667%;
  }
  .col-md-pull-1 {
    right: 8.33333333%;
  }
  .col-md-pull-0 {
    right: auto;
  }
  .col-md-push-12 {
    left: 100%;
  }
  .col-md-push-11 {
    left: 91.66666667%;
  }
  .col-md-push-10 {
    left: 83.33333333%;
  }
  .col-md-push-9 {
    left: 75%;
  }
  .col-md-push-8 {
    left: 66.66666667%;
  }
  .col-md-push-7 {
    left: 58.33333333%;
  }
  .col-md-push-6 {
    left: 50%;
  }
  .col-md-push-5 {
    left: 41.66666667%;
  }
  .col-md-push-4 {
    left: 33.33333333%;
  }
  .col-md-push-3 {
    left: 25%;
  }
  .col-md-push-2 {
    left: 16.66666667%;
  }
  .col-md-push-1 {
    left: 8.33333333%;
  }
  .col-md-push-0 {
    left: auto;
  }
  .col-md-offset-12 {
    margin-left: 100%;
  }
  .col-md-offset-11 {
    margin-left: 91.66666667%;
  }
  .col-md-offset-10 {
    margin-left: 83.33333333%;
  }
  .col-md-offset-9 {
    margin-left: 75%;
  }
  .col-md-offset-8 {
    margin-left: 66.66666667%;
  }
  .col-md-offset-7 {
    margin-left: 58.33333333%;
  }
  .col-md-offset-6 {
    margin-left: 50%;
  }
  .col-md-offset-5 {
    margin-left: 41.66666667%;
  }
  .col-md-offset-4 {
    margin-left: 33.33333333%;
  }
  .col-md-offset-3 {
    margin-left: 25%;
  }
  .col-md-offset-2 {
    margin-left: 16.66666667%;
  }
  .col-md-offset-1 {
    margin-left: 8.33333333%;
  }
  .col-md-offset-0 {
    margin-left: 0%;
  }
}
@media (min-width: 1200px) {
  .col-lg-1, .col-lg-2, .col-lg-3, .col-lg-4, .col-lg-5, .col-lg-6, .col-lg-7, .col-lg-8, .col-lg-9, .col-lg-10, .col-lg-11, .col-lg-12 {
    float: left;
  }
  .col-lg-12 {
    width: 100%;
  }
  .col-lg-11 {
    width: 91.66666667%;
  }
  .col-lg-10 {
    width: 83.33333333%;
  }
  .col-lg-9 {
    width: 75%;
  }
  .col-lg-8 {
    width: 66.66666667%;
  }
  .col-lg-7 {
    width: 58.33333333%;
  }
  .col-lg-6 {
    width: 50%;
  }
  .col-lg-5 {
    width: 41.66666667%;
  }
  .col-lg-4 {
    width: 33.33333333%;
  }
  .col-lg-3 {
    width: 25%;
  }
  .col-lg-2 {
    width: 16.66666667%;
  }
  .col-lg-1 {
    width: 8.33333333%;
  }
  .col-lg-pull-12 {
    right: 100%;
  }
  .col-lg-pull-11 {
    right: 91.66666667%;
  }
  .col-lg-pull-10 {
    right: 83.33333333%;
  }
  .col-lg-pull-9 {
    right: 75%;
  }
  .col-lg-pull-8 {
    right: 66.66666667%;
  }
  .col-lg-pull-7 {
    right: 58.33333333%;
  }
  .col-lg-pull-6 {
    right: 50%;
  }
  .col-lg-pull-5 {
    right: 41.66666667%;
  }
  .col-lg-pull-4 {
    right: 33.33333333%;
  }
  .col-lg-pull-3 {
    right: 25%;
  }
  .col-lg-pull-2 {
    right: 16.66666667%;
  }
  .col-lg-pull-1 {
    right: 8.33333333%;
  }
  .col-lg-pull-0 {
    right: auto;
  }
  .col-lg-push-12 {
    left: 100%;
  }
  .col-lg-push-11 {
    left: 91.66666667%;
  }
  .col-lg-push-10 {
    left: 83.33333333%;
  }
  .col-lg-push-9 {
    left: 75%;
  }
  .col-lg-push-8 {
    left: 66.66666667%;
  }
  .col-lg-push-7 {
    left: 58.33333333%;
  }
  .col-lg-push-6 {
    left: 50%;
  }
  .col-lg-push-5 {
    left: 41.66666667%;
  }
  .col-lg-push-4 {
    left: 33.33333333%;
  }
  .col-lg-push-3 {
    left: 25%;
  }
  .col-lg-push-2 {
    left: 16.66666667%;
  }
  .col-lg-push-1 {
    left: 8.33333333%;
  }
  .col-lg-push-0 {
    left: auto;
  }
  .col-lg-offset-12 {
    margin-left: 100%;
  }
  .col-lg-offset-11 {
    margin-left: 91.66666667%;
  }
  .col-lg-offset-10 {
    margin-left: 83.33333333%;
  }
  .col-lg-offset-9 {
    margin-left: 75%;
  }
  .col-lg-offset-8 {
    margin-left: 66.66666667%;
  }
  .col-lg-offset-7 {
    margin-left: 58.33333333%;
  }
  .col-lg-offset-6 {
    margin-left: 50%;
  }
  .col-lg-offset-5 {
    margin-left: 41.66666667%;
  }
  .col-lg-offset-4 {
    margin-left: 33.33333333%;
  }
  .col-lg-offset-3 {
    margin-left: 25%;
  }
  .col-lg-offset-2 {
    margin-left: 16.66666667%;
  }
  .col-lg-offset-1 {
    margin-left: 8.33333333%;
  }
  .col-lg-offset-0 {
    margin-left: 0%;
  }
}
table {
  background-color: transparent;
}
caption {
  padding-top: 8px;
  padding-bottom: 8px;
  color: #777777;
  text-align: left;
}
th {
  text-align: left;
}
.table {
  width: 100%;
  max-width: 100%;
  margin-bottom: 18px;
}
.table > thead > tr > th,
.table > tbody > tr > th,
.table > tfoot > tr > th,
.table > thead > tr > td,
.table > tbody > tr > td,
.table > tfoot > tr > td {
  padding: 8px;
  line-height: 1.42857143;
  vertical-align: top;
  border-top: 1px solid #ddd;
}
.table > thead > tr > th {
  vertical-align: bottom;
  border-bottom: 2px solid #ddd;
}
.table > caption + thead > tr:first-child > th,
.table > colgroup + thead > tr:first-child > th,
.table > thead:first-child > tr:first-child > th,
.table > caption + thead > tr:first-child > td,
.table > colgroup + thead > tr:first-child > td,
.table > thead:first-child > tr:first-child > td {
  border-top: 0;
}
.table > tbody + tbody {
  border-top: 2px solid #ddd;
}
.table .table {
  background-color: #fff;
}
.table-condensed > thead > tr > th,
.table-condensed > tbody > tr > th,
.table-condensed > tfoot > tr > th,
.table-condensed > thead > tr > td,
.table-condensed > tbody > tr > td,
.table-condensed > tfoot > tr > td {
  padding: 5px;
}
.table-bordered {
  border: 1px solid #ddd;
}
.table-bordered > thead > tr > th,
.table-bordered > tbody > tr > th,
.table-bordered > tfoot > tr > th,
.table-bordered > thead > tr > td,
.table-bordered > tbody > tr > td,
.table-bordered > tfoot > tr > td {
  border: 1px solid #ddd;
}
.table-bordered > thead > tr > th,
.table-bordered > thead > tr > td {
  border-bottom-width: 2px;
}
.table-striped > tbody > tr:nth-of-type(odd) {
  background-color: #f9f9f9;
}
.table-hover > tbody > tr:hover {
  background-color: #f5f5f5;
}
table col[class*="col-"] {
  position: static;
  float: none;
  display: table-column;
}
table td[class*="col-"],
table th[class*="col-"] {
  position: static;
  float: none;
  display: table-cell;
}
.table > thead > tr > td.active,
.table > tbody > tr > td.active,
.table > tfoot > tr > td.active,
.table > thead > tr > th.active,
.table > tbody > tr > th.active,
.table > tfoot > tr > th.active,
.table > thead > tr.active > td,
.table > tbody > tr.active > td,
.table > tfoot > tr.active > td,
.table > thead > tr.active > th,
.table > tbody > tr.active > th,
.table > tfoot > tr.active > th {
  background-color: #f5f5f5;
}
.table-hover > tbody > tr > td.active:hover,
.table-hover > tbody > tr > th.active:hover,
.table-hover > tbody > tr.active:hover > td,
.table-hover > tbody > tr:hover > .active,
.table-hover > tbody > tr.active:hover > th {
  background-color: #e8e8e8;
}
.table > thead > tr > td.success,
.table > tbody > tr > td.success,
.table > tfoot > tr > td.success,
.table > thead > tr > th.success,
.table > tbody > tr > th.success,
.table > tfoot > tr > th.success,
.table > thead > tr.success > td,
.table > tbody > tr.success > td,
.table > tfoot > tr.success > td,
.table > thead > tr.success > th,
.table > tbody > tr.success > th,
.table > tfoot > tr.success > th {
  background-color: #dff0d8;
}
.table-hover > tbody > tr > td.success:hover,
.table-hover > tbody > tr > th.success:hover,
.table-hover > tbody > tr.success:hover > td,
.table-hover > tbody > tr:hover > .success,
.table-hover > tbody > tr.success:hover > th {
  background-color: #d0e9c6;
}
.table > thead > tr > td.info,
.table > tbody > tr > td.info,
.table > tfoot > tr > td.info,
.table > thead > tr > th.info,
.table > tbody > tr > th.info,
.table > tfoot > tr > th.info,
.table > thead > tr.info > td,
.table > tbody > tr.info > td,
.table > tfoot > tr.info > td,
.table > thead > tr.info > th,
.table > tbody > tr.info > th,
.table > tfoot > tr.info > th {
  background-color: #d9edf7;
}
.table-hover > tbody > tr > td.info:hover,
.table-hover > tbody > tr > th.info:hover,
.table-hover > tbody > tr.info:hover > td,
.table-hover > tbody > tr:hover > .info,
.table-hover > tbody > tr.info:hover > th {
  background-color: #c4e3f3;
}
.table > thead > tr > td.warning,
.table > tbody > tr > td.warning,
.table > tfoot > tr > td.warning,
.table > thead > tr > th.warning,
.table > tbody > tr > th.warning,
.table > tfoot > tr > th.warning,
.table > thead > tr.warning > td,
.table > tbody > tr.warning > td,
.table > tfoot > tr.warning > td,
.table > thead > tr.warning > th,
.table > tbody > tr.warning > th,
.table > tfoot > tr.warning > th {
  background-color: #fcf8e3;
}
.table-hover > tbody > tr > td.warning:hover,
.table-hover > tbody > tr > th.warning:hover,
.table-hover > tbody > tr.warning:hover > td,
.table-hover > tbody > tr:hover > .warning,
.table-hover > tbody > tr.warning:hover > th {
  background-color: #faf2cc;
}
.table > thead > tr > td.danger,
.table > tbody > tr > td.danger,
.table > tfoot > tr > td.danger,
.table > thead > tr > th.danger,
.table > tbody > tr > th.danger,
.table > tfoot > tr > th.danger,
.table > thead > tr.danger > td,
.table > tbody > tr.danger > td,
.table > tfoot > tr.danger > td,
.table > thead > tr.danger > th,
.table > tbody > tr.danger > th,
.table > tfoot > tr.danger > th {
  background-color: #f2dede;
}
.table-hover > tbody > tr > td.danger:hover,
.table-hover > tbody > tr > th.danger:hover,
.table-hover > tbody > tr.danger:hover > td,
.table-hover > tbody > tr:hover > .danger,
.table-hover > tbody > tr.danger:hover > th {
  background-color: #ebcccc;
}
.table-responsive {
  overflow-x: auto;
  min-height: 0.01%;
}
@media screen and (max-width: 767px) {
  .table-responsive {
    width: 100%;
    margin-bottom: 13.5px;
    overflow-y: hidden;
    -ms-overflow-style: -ms-autohiding-scrollbar;
    border: 1px solid #ddd;
  }
  .table-responsive > .table {
    margin-bottom: 0;
  }
  .table-responsive > .table > thead > tr > th,
  .table-responsive > .table > tbody > tr > th,
  .table-responsive > .table > tfoot > tr > th,
  .table-responsive > .table > thead > tr > td,
  .table-responsive > .table > tbody > tr > td,
  .table-responsive > .table > tfoot > tr > td {
    white-space: nowrap;
  }
  .table-responsive > .table-bordered {
    border: 0;
  }
  .table-responsive > .table-bordered > thead > tr > th:first-child,
  .table-responsive > .table-bordered > tbody > tr > th:first-child,
  .table-responsive > .table-bordered > tfoot > tr > th:first-child,
  .table-responsive > .table-bordered > thead > tr > td:first-child,
  .table-responsive > .table-bordered > tbody > tr > td:first-child,
  .table-responsive > .table-bordered > tfoot > tr > td:first-child {
    border-left: 0;
  }
  .table-responsive > .table-bordered > thead > tr > th:last-child,
  .table-responsive > .table-bordered > tbody > tr > th:last-child,
  .table-responsive > .table-bordered > tfoot > tr > th:last-child,
  .table-responsive > .table-bordered > thead > tr > td:last-child,
  .table-responsive > .table-bordered > tbody > tr > td:last-child,
  .table-responsive > .table-bordered > tfoot > tr > td:last-child {
    border-right: 0;
  }
  .table-responsive > .table-bordered > tbody > tr:last-child > th,
  .table-responsive > .table-bordered > tfoot > tr:last-child > th,
  .table-responsive > .table-bordered > tbody > tr:last-child > td,
  .table-responsive > .table-bordered > tfoot > tr:last-child > td {
    border-bottom: 0;
  }
}
fieldset {
  padding: 0;
  margin: 0;
  border: 0;
  min-width: 0;
}
legend {
  display: block;
  width: 100%;
  padding: 0;
  margin-bottom: 18px;
  font-size: 19.5px;
  line-height: inherit;
  color: #333333;
  border: 0;
  border-bottom: 1px solid #e5e5e5;
}
label {
  display: inline-block;
  max-width: 100%;
  margin-bottom: 5px;
  font-weight: bold;
}
input[type="search"] {
  -webkit-box-sizing: border-box;
  -moz-box-sizing: border-box;
  box-sizing: border-box;
}
input[type="radio"],
input[type="checkbox"] {
  margin: 4px 0 0;
  margin-top: 1px \9;
  line-height: normal;
}
input[type="file"] {
  display: block;
}
input[type="range"] {
  display: block;
  width: 100%;
}
select[multiple],
select[size] {
  height: auto;
}
input[type="file"]:focus,
input[type="radio"]:focus,
input[type="checkbox"]:focus {
  outline: 5px auto -webkit-focus-ring-color;
  outline-offset: -2px;
}
output {
  display: block;
  padding-top: 7px;
  font-size: 13px;
  line-height: 1.42857143;
  color: #555555;
}
.form-control {
  display: block;
  width: 100%;
  height: 32px;
  padding: 6px 12px;
  font-size: 13px;
  line-height: 1.42857143;
  color: #555555;
  background-color: #fff;
  background-image: none;
  border: 1px solid #ccc;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  -webkit-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  -o-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
}
.form-control:focus {
  border-color: #66afe9;
  outline: 0;
  -webkit-box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
  box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
}
.form-control::-moz-placeholder {
  color: #999;
  opacity: 1;
}
.form-control:-ms-input-placeholder {
  color: #999;
}
.form-control::-webkit-input-placeholder {
  color: #999;
}
.form-control::-ms-expand {
  border: 0;
  background-color: transparent;
}
.form-control[disabled],
.form-control[readonly],
fieldset[disabled] .form-control {
  background-color: #eeeeee;
  opacity: 1;
}
.form-control[disabled],
fieldset[disabled] .form-control {
  cursor: not-allowed;
}
textarea.form-control {
  height: auto;
}
input[type="search"] {
  -webkit-appearance: none;
}
@media screen and (-webkit-min-device-pixel-ratio: 0) {
  input[type="date"].form-control,
  input[type="time"].form-control,
  input[type="datetime-local"].form-control,
  input[type="month"].form-control {
    line-height: 32px;
  }
  input[type="date"].input-sm,
  input[type="time"].input-sm,
  input[type="datetime-local"].input-sm,
  input[type="month"].input-sm,
  .input-group-sm input[type="date"],
  .input-group-sm input[type="time"],
  .input-group-sm input[type="datetime-local"],
  .input-group-sm input[type="month"] {
    line-height: 30px;
  }
  input[type="date"].input-lg,
  input[type="time"].input-lg,
  input[type="datetime-local"].input-lg,
  input[type="month"].input-lg,
  .input-group-lg input[type="date"],
  .input-group-lg input[type="time"],
  .input-group-lg input[type="datetime-local"],
  .input-group-lg input[type="month"] {
    line-height: 45px;
  }
}
.form-group {
  margin-bottom: 15px;
}
.radio,
.checkbox {
  position: relative;
  display: block;
  margin-top: 10px;
  margin-bottom: 10px;
}
.radio label,
.checkbox label {
  min-height: 18px;
  padding-left: 20px;
  margin-bottom: 0;
  font-weight: normal;
  cursor: pointer;
}
.radio input[type="radio"],
.radio-inline input[type="radio"],
.checkbox input[type="checkbox"],
.checkbox-inline input[type="checkbox"] {
  position: absolute;
  margin-left: -20px;
  margin-top: 4px \9;
}
.radio + .radio,
.checkbox + .checkbox {
  margin-top: -5px;
}
.radio-inline,
.checkbox-inline {
  position: relative;
  display: inline-block;
  padding-left: 20px;
  margin-bottom: 0;
  vertical-align: middle;
  font-weight: normal;
  cursor: pointer;
}
.radio-inline + .radio-inline,
.checkbox-inline + .checkbox-inline {
  margin-top: 0;
  margin-left: 10px;
}
input[type="radio"][disabled],
input[type="checkbox"][disabled],
input[type="radio"].disabled,
input[type="checkbox"].disabled,
fieldset[disabled] input[type="radio"],
fieldset[disabled] input[type="checkbox"] {
  cursor: not-allowed;
}
.radio-inline.disabled,
.checkbox-inline.disabled,
fieldset[disabled] .radio-inline,
fieldset[disabled] .checkbox-inline {
  cursor: not-allowed;
}
.radio.disabled label,
.checkbox.disabled label,
fieldset[disabled] .radio label,
fieldset[disabled] .checkbox label {
  cursor: not-allowed;
}
.form-control-static {
  padding-top: 7px;
  padding-bottom: 7px;
  margin-bottom: 0;
  min-height: 31px;
}
.form-control-static.input-lg,
.form-control-static.input-sm {
  padding-left: 0;
  padding-right: 0;
}
.input-sm {
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
select.input-sm {
  height: 30px;
  line-height: 30px;
}
textarea.input-sm,
select[multiple].input-sm {
  height: auto;
}
.form-group-sm .form-control {
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
.form-group-sm select.form-control {
  height: 30px;
  line-height: 30px;
}
.form-group-sm textarea.form-control,
.form-group-sm select[multiple].form-control {
  height: auto;
}
.form-group-sm .form-control-static {
  height: 30px;
  min-height: 30px;
  padding: 6px 10px;
  font-size: 12px;
  line-height: 1.5;
}
.input-lg {
  height: 45px;
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
select.input-lg {
  height: 45px;
  line-height: 45px;
}
textarea.input-lg,
select[multiple].input-lg {
  height: auto;
}
.form-group-lg .form-control {
  height: 45px;
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
.form-group-lg select.form-control {
  height: 45px;
  line-height: 45px;
}
.form-group-lg textarea.form-control,
.form-group-lg select[multiple].form-control {
  height: auto;
}
.form-group-lg .form-control-static {
  height: 45px;
  min-height: 35px;
  padding: 11px 16px;
  font-size: 17px;
  line-height: 1.3333333;
}
.has-feedback {
  position: relative;
}
.has-feedback .form-control {
  padding-right: 40px;
}
.form-control-feedback {
  position: absolute;
  top: 0;
  right: 0;
  z-index: 2;
  display: block;
  width: 32px;
  height: 32px;
  line-height: 32px;
  text-align: center;
  pointer-events: none;
}
.input-lg + .form-control-feedback,
.input-group-lg + .form-control-feedback,
.form-group-lg .form-control + .form-control-feedback {
  width: 45px;
  height: 45px;
  line-height: 45px;
}
.input-sm + .form-control-feedback,
.input-group-sm + .form-control-feedback,
.form-group-sm .form-control + .form-control-feedback {
  width: 30px;
  height: 30px;
  line-height: 30px;
}
.has-success .help-block,
.has-success .control-label,
.has-success .radio,
.has-success .checkbox,
.has-success .radio-inline,
.has-success .checkbox-inline,
.has-success.radio label,
.has-success.checkbox label,
.has-success.radio-inline label,
.has-success.checkbox-inline label {
  color: #3c763d;
}
.has-success .form-control {
  border-color: #3c763d;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
}
.has-success .form-control:focus {
  border-color: #2b542c;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #67b168;
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #67b168;
}
.has-success .input-group-addon {
  color: #3c763d;
  border-color: #3c763d;
  background-color: #dff0d8;
}
.has-success .form-control-feedback {
  color: #3c763d;
}
.has-warning .help-block,
.has-warning .control-label,
.has-warning .radio,
.has-warning .checkbox,
.has-warning .radio-inline,
.has-warning .checkbox-inline,
.has-warning.radio label,
.has-warning.checkbox label,
.has-warning.radio-inline label,
.has-warning.checkbox-inline label {
  color: #8a6d3b;
}
.has-warning .form-control {
  border-color: #8a6d3b;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
}
.has-warning .form-control:focus {
  border-color: #66512c;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #c0a16b;
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #c0a16b;
}
.has-warning .input-group-addon {
  color: #8a6d3b;
  border-color: #8a6d3b;
  background-color: #fcf8e3;
}
.has-warning .form-control-feedback {
  color: #8a6d3b;
}
.has-error .help-block,
.has-error .control-label,
.has-error .radio,
.has-error .checkbox,
.has-error .radio-inline,
.has-error .checkbox-inline,
.has-error.radio label,
.has-error.checkbox label,
.has-error.radio-inline label,
.has-error.checkbox-inline label {
  color: #a94442;
}
.has-error .form-control {
  border-color: #a94442;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
}
.has-error .form-control:focus {
  border-color: #843534;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #ce8483;
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #ce8483;
}
.has-error .input-group-addon {
  color: #a94442;
  border-color: #a94442;
  background-color: #f2dede;
}
.has-error .form-control-feedback {
  color: #a94442;
}
.has-feedback label ~ .form-control-feedback {
  top: 23px;
}
.has-feedback label.sr-only ~ .form-control-feedback {
  top: 0;
}
.help-block {
  display: block;
  margin-top: 5px;
  margin-bottom: 10px;
  color: #404040;
}
@media (min-width: 768px) {
  .form-inline .form-group {
    display: inline-block;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .form-inline .form-control {
    display: inline-block;
    width: auto;
    vertical-align: middle;
  }
  .form-inline .form-control-static {
    display: inline-block;
  }
  .form-inline .input-group {
    display: inline-table;
    vertical-align: middle;
  }
  .form-inline .input-group .input-group-addon,
  .form-inline .input-group .input-group-btn,
  .form-inline .input-group .form-control {
    width: auto;
  }
  .form-inline .input-group > .form-control {
    width: 100%;
  }
  .form-inline .control-label {
    margin-bottom: 0;
    vertical-align: middle;
  }
  .form-inline .radio,
  .form-inline .checkbox {
    display: inline-block;
    margin-top: 0;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .form-inline .radio label,
  .form-inline .checkbox label {
    padding-left: 0;
  }
  .form-inline .radio input[type="radio"],
  .form-inline .checkbox input[type="checkbox"] {
    position: relative;
    margin-left: 0;
  }
  .form-inline .has-feedback .form-control-feedback {
    top: 0;
  }
}
.form-horizontal .radio,
.form-horizontal .checkbox,
.form-horizontal .radio-inline,
.form-horizontal .checkbox-inline {
  margin-top: 0;
  margin-bottom: 0;
  padding-top: 7px;
}
.form-horizontal .radio,
.form-horizontal .checkbox {
  min-height: 25px;
}
.form-horizontal .form-group {
  margin-left: 0px;
  margin-right: 0px;
}
@media (min-width: 768px) {
  .form-horizontal .control-label {
    text-align: right;
    margin-bottom: 0;
    padding-top: 7px;
  }
}
.form-horizontal .has-feedback .form-control-feedback {
  right: 0px;
}
@media (min-width: 768px) {
  .form-horizontal .form-group-lg .control-label {
    padding-top: 11px;
    font-size: 17px;
  }
}
@media (min-width: 768px) {
  .form-horizontal .form-group-sm .control-label {
    padding-top: 6px;
    font-size: 12px;
  }
}
.btn {
  display: inline-block;
  margin-bottom: 0;
  font-weight: normal;
  text-align: center;
  vertical-align: middle;
  touch-action: manipulation;
  cursor: pointer;
  background-image: none;
  border: 1px solid transparent;
  white-space: nowrap;
  padding: 6px 12px;
  font-size: 13px;
  line-height: 1.42857143;
  border-radius: 2px;
  -webkit-user-select: none;
  -moz-user-select: none;
  -ms-user-select: none;
  user-select: none;
}
.btn:focus,
.btn:active:focus,
.btn.active:focus,
.btn.focus,
.btn:active.focus,
.btn.active.focus {
  outline: 5px auto -webkit-focus-ring-color;
  outline-offset: -2px;
}
.btn:hover,
.btn:focus,
.btn.focus {
  color: #333;
  text-decoration: none;
}
.btn:active,
.btn.active {
  outline: 0;
  background-image: none;
  -webkit-box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
  box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
}
.btn.disabled,
.btn[disabled],
fieldset[disabled] .btn {
  cursor: not-allowed;
  opacity: 0.65;
  filter: alpha(opacity=65);
  -webkit-box-shadow: none;
  box-shadow: none;
}
a.btn.disabled,
fieldset[disabled] a.btn {
  pointer-events: none;
}
.btn-default {
  color: #333;
  background-color: #fff;
  border-color: #ccc;
}
.btn-default:focus,
.btn-default.focus {
  color: #333;
  background-color: #e6e6e6;
  border-color: #8c8c8c;
}
.btn-default:hover {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.btn-default:active,
.btn-default.active,
.open > .dropdown-toggle.btn-default {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.btn-default:active:hover,
.btn-default.active:hover,
.open > .dropdown-toggle.btn-default:hover,
.btn-default:active:focus,
.btn-default.active:focus,
.open > .dropdown-toggle.btn-default:focus,
.btn-default:active.focus,
.btn-default.active.focus,
.open > .dropdown-toggle.btn-default.focus {
  color: #333;
  background-color: #d4d4d4;
  border-color: #8c8c8c;
}
.btn-default:active,
.btn-default.active,
.open > .dropdown-toggle.btn-default {
  background-image: none;
}
.btn-default.disabled:hover,
.btn-default[disabled]:hover,
fieldset[disabled] .btn-default:hover,
.btn-default.disabled:focus,
.btn-default[disabled]:focus,
fieldset[disabled] .btn-default:focus,
.btn-default.disabled.focus,
.btn-default[disabled].focus,
fieldset[disabled] .btn-default.focus {
  background-color: #fff;
  border-color: #ccc;
}
.btn-default .badge {
  color: #fff;
  background-color: #333;
}
.btn-primary {
  color: #fff;
  background-color: #337ab7;
  border-color: #2e6da4;
}
.btn-primary:focus,
.btn-primary.focus {
  color: #fff;
  background-color: #286090;
  border-color: #122b40;
}
.btn-primary:hover {
  color: #fff;
  background-color: #286090;
  border-color: #204d74;
}
.btn-primary:active,
.btn-primary.active,
.open > .dropdown-toggle.btn-primary {
  color: #fff;
  background-color: #286090;
  border-color: #204d74;
}
.btn-primary:active:hover,
.btn-primary.active:hover,
.open > .dropdown-toggle.btn-primary:hover,
.btn-primary:active:focus,
.btn-primary.active:focus,
.open > .dropdown-toggle.btn-primary:focus,
.btn-primary:active.focus,
.btn-primary.active.focus,
.open > .dropdown-toggle.btn-primary.focus {
  color: #fff;
  background-color: #204d74;
  border-color: #122b40;
}
.btn-primary:active,
.btn-primary.active,
.open > .dropdown-toggle.btn-primary {
  background-image: none;
}
.btn-primary.disabled:hover,
.btn-primary[disabled]:hover,
fieldset[disabled] .btn-primary:hover,
.btn-primary.disabled:focus,
.btn-primary[disabled]:focus,
fieldset[disabled] .btn-primary:focus,
.btn-primary.disabled.focus,
.btn-primary[disabled].focus,
fieldset[disabled] .btn-primary.focus {
  background-color: #337ab7;
  border-color: #2e6da4;
}
.btn-primary .badge {
  color: #337ab7;
  background-color: #fff;
}
.btn-success {
  color: #fff;
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.btn-success:focus,
.btn-success.focus {
  color: #fff;
  background-color: #449d44;
  border-color: #255625;
}
.btn-success:hover {
  color: #fff;
  background-color: #449d44;
  border-color: #398439;
}
.btn-success:active,
.btn-success.active,
.open > .dropdown-toggle.btn-success {
  color: #fff;
  background-color: #449d44;
  border-color: #398439;
}
.btn-success:active:hover,
.btn-success.active:hover,
.open > .dropdown-toggle.btn-success:hover,
.btn-success:active:focus,
.btn-success.active:focus,
.open > .dropdown-toggle.btn-success:focus,
.btn-success:active.focus,
.btn-success.active.focus,
.open > .dropdown-toggle.btn-success.focus {
  color: #fff;
  background-color: #398439;
  border-color: #255625;
}
.btn-success:active,
.btn-success.active,
.open > .dropdown-toggle.btn-success {
  background-image: none;
}
.btn-success.disabled:hover,
.btn-success[disabled]:hover,
fieldset[disabled] .btn-success:hover,
.btn-success.disabled:focus,
.btn-success[disabled]:focus,
fieldset[disabled] .btn-success:focus,
.btn-success.disabled.focus,
.btn-success[disabled].focus,
fieldset[disabled] .btn-success.focus {
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.btn-success .badge {
  color: #5cb85c;
  background-color: #fff;
}
.btn-info {
  color: #fff;
  background-color: #5bc0de;
  border-color: #46b8da;
}
.btn-info:focus,
.btn-info.focus {
  color: #fff;
  background-color: #31b0d5;
  border-color: #1b6d85;
}
.btn-info:hover {
  color: #fff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.btn-info:active,
.btn-info.active,
.open > .dropdown-toggle.btn-info {
  color: #fff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.btn-info:active:hover,
.btn-info.active:hover,
.open > .dropdown-toggle.btn-info:hover,
.btn-info:active:focus,
.btn-info.active:focus,
.open > .dropdown-toggle.btn-info:focus,
.btn-info:active.focus,
.btn-info.active.focus,
.open > .dropdown-toggle.btn-info.focus {
  color: #fff;
  background-color: #269abc;
  border-color: #1b6d85;
}
.btn-info:active,
.btn-info.active,
.open > .dropdown-toggle.btn-info {
  background-image: none;
}
.btn-info.disabled:hover,
.btn-info[disabled]:hover,
fieldset[disabled] .btn-info:hover,
.btn-info.disabled:focus,
.btn-info[disabled]:focus,
fieldset[disabled] .btn-info:focus,
.btn-info.disabled.focus,
.btn-info[disabled].focus,
fieldset[disabled] .btn-info.focus {
  background-color: #5bc0de;
  border-color: #46b8da;
}
.btn-info .badge {
  color: #5bc0de;
  background-color: #fff;
}
.btn-warning {
  color: #fff;
  background-color: #f0ad4e;
  border-color: #eea236;
}
.btn-warning:focus,
.btn-warning.focus {
  color: #fff;
  background-color: #ec971f;
  border-color: #985f0d;
}
.btn-warning:hover {
  color: #fff;
  background-color: #ec971f;
  border-color: #d58512;
}
.btn-warning:active,
.btn-warning.active,
.open > .dropdown-toggle.btn-warning {
  color: #fff;
  background-color: #ec971f;
  border-color: #d58512;
}
.btn-warning:active:hover,
.btn-warning.active:hover,
.open > .dropdown-toggle.btn-warning:hover,
.btn-warning:active:focus,
.btn-warning.active:focus,
.open > .dropdown-toggle.btn-warning:focus,
.btn-warning:active.focus,
.btn-warning.active.focus,
.open > .dropdown-toggle.btn-warning.focus {
  color: #fff;
  background-color: #d58512;
  border-color: #985f0d;
}
.btn-warning:active,
.btn-warning.active,
.open > .dropdown-toggle.btn-warning {
  background-image: none;
}
.btn-warning.disabled:hover,
.btn-warning[disabled]:hover,
fieldset[disabled] .btn-warning:hover,
.btn-warning.disabled:focus,
.btn-warning[disabled]:focus,
fieldset[disabled] .btn-warning:focus,
.btn-warning.disabled.focus,
.btn-warning[disabled].focus,
fieldset[disabled] .btn-warning.focus {
  background-color: #f0ad4e;
  border-color: #eea236;
}
.btn-warning .badge {
  color: #f0ad4e;
  background-color: #fff;
}
.btn-danger {
  color: #fff;
  background-color: #d9534f;
  border-color: #d43f3a;
}
.btn-danger:focus,
.btn-danger.focus {
  color: #fff;
  background-color: #c9302c;
  border-color: #761c19;
}
.btn-danger:hover {
  color: #fff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.btn-danger:active,
.btn-danger.active,
.open > .dropdown-toggle.btn-danger {
  color: #fff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.btn-danger:active:hover,
.btn-danger.active:hover,
.open > .dropdown-toggle.btn-danger:hover,
.btn-danger:active:focus,
.btn-danger.active:focus,
.open > .dropdown-toggle.btn-danger:focus,
.btn-danger:active.focus,
.btn-danger.active.focus,
.open > .dropdown-toggle.btn-danger.focus {
  color: #fff;
  background-color: #ac2925;
  border-color: #761c19;
}
.btn-danger:active,
.btn-danger.active,
.open > .dropdown-toggle.btn-danger {
  background-image: none;
}
.btn-danger.disabled:hover,
.btn-danger[disabled]:hover,
fieldset[disabled] .btn-danger:hover,
.btn-danger.disabled:focus,
.btn-danger[disabled]:focus,
fieldset[disabled] .btn-danger:focus,
.btn-danger.disabled.focus,
.btn-danger[disabled].focus,
fieldset[disabled] .btn-danger.focus {
  background-color: #d9534f;
  border-color: #d43f3a;
}
.btn-danger .badge {
  color: #d9534f;
  background-color: #fff;
}
.btn-link {
  color: #337ab7;
  font-weight: normal;
  border-radius: 0;
}
.btn-link,
.btn-link:active,
.btn-link.active,
.btn-link[disabled],
fieldset[disabled] .btn-link {
  background-color: transparent;
  -webkit-box-shadow: none;
  box-shadow: none;
}
.btn-link,
.btn-link:hover,
.btn-link:focus,
.btn-link:active {
  border-color: transparent;
}
.btn-link:hover,
.btn-link:focus {
  color: #23527c;
  text-decoration: underline;
  background-color: transparent;
}
.btn-link[disabled]:hover,
fieldset[disabled] .btn-link:hover,
.btn-link[disabled]:focus,
fieldset[disabled] .btn-link:focus {
  color: #777777;
  text-decoration: none;
}
.btn-lg,
.btn-group-lg > .btn {
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
.btn-sm,
.btn-group-sm > .btn {
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
.btn-xs,
.btn-group-xs > .btn {
  padding: 1px 5px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
.btn-block {
  display: block;
  width: 100%;
}
.btn-block + .btn-block {
  margin-top: 5px;
}
input[type="submit"].btn-block,
input[type="reset"].btn-block,
input[type="button"].btn-block {
  width: 100%;
}
.fade {
  opacity: 0;
  -webkit-transition: opacity 0.15s linear;
  -o-transition: opacity 0.15s linear;
  transition: opacity 0.15s linear;
}
.fade.in {
  opacity: 1;
}
.collapse {
  display: none;
}
.collapse.in {
  display: block;
}
tr.collapse.in {
  display: table-row;
}
tbody.collapse.in {
  display: table-row-group;
}
.collapsing {
  position: relative;
  height: 0;
  overflow: hidden;
  -webkit-transition-property: height, visibility;
  transition-property: height, visibility;
  -webkit-transition-duration: 0.35s;
  transition-duration: 0.35s;
  -webkit-transition-timing-function: ease;
  transition-timing-function: ease;
}
.caret {
  display: inline-block;
  width: 0;
  height: 0;
  margin-left: 2px;
  vertical-align: middle;
  border-top: 4px dashed;
  border-top: 4px solid \9;
  border-right: 4px solid transparent;
  border-left: 4px solid transparent;
}
.dropup,
.dropdown {
  position: relative;
}
.dropdown-toggle:focus {
  outline: 0;
}
.dropdown-menu {
  position: absolute;
  top: 100%;
  left: 0;
  z-index: 1000;
  display: none;
  float: left;
  min-width: 160px;
  padding: 5px 0;
  margin: 2px 0 0;
  list-style: none;
  font-size: 13px;
  text-align: left;
  background-color: #fff;
  border: 1px solid #ccc;
  border: 1px solid rgba(0, 0, 0, 0.15);
  border-radius: 2px;
  -webkit-box-shadow: 0 6px 12px rgba(0, 0, 0, 0.175);
  box-shadow: 0 6px 12px rgba(0, 0, 0, 0.175);
  background-clip: padding-box;
}
.dropdown-menu.pull-right {
  right: 0;
  left: auto;
}
.dropdown-menu .divider {
  height: 1px;
  margin: 8px 0;
  overflow: hidden;
  background-color: #e5e5e5;
}
.dropdown-menu > li > a {
  display: block;
  padding: 3px 20px;
  clear: both;
  font-weight: normal;
  line-height: 1.42857143;
  color: #333333;
  white-space: nowrap;
}
.dropdown-menu > li > a:hover,
.dropdown-menu > li > a:focus {
  text-decoration: none;
  color: #262626;
  background-color: #f5f5f5;
}
.dropdown-menu > .active > a,
.dropdown-menu > .active > a:hover,
.dropdown-menu > .active > a:focus {
  color: #fff;
  text-decoration: none;
  outline: 0;
  background-color: #337ab7;
}
.dropdown-menu > .disabled > a,
.dropdown-menu > .disabled > a:hover,
.dropdown-menu > .disabled > a:focus {
  color: #777777;
}
.dropdown-menu > .disabled > a:hover,
.dropdown-menu > .disabled > a:focus {
  text-decoration: none;
  background-color: transparent;
  background-image: none;
  filter: progid:DXImageTransform.Microsoft.gradient(enabled = false);
  cursor: not-allowed;
}
.open > .dropdown-menu {
  display: block;
}
.open > a {
  outline: 0;
}
.dropdown-menu-right {
  left: auto;
  right: 0;
}
.dropdown-menu-left {
  left: 0;
  right: auto;
}
.dropdown-header {
  display: block;
  padding: 3px 20px;
  font-size: 12px;
  line-height: 1.42857143;
  color: #777777;
  white-space: nowrap;
}
.dropdown-backdrop {
  position: fixed;
  left: 0;
  right: 0;
  bottom: 0;
  top: 0;
  z-index: 990;
}
.pull-right > .dropdown-menu {
  right: 0;
  left: auto;
}
.dropup .caret,
.navbar-fixed-bottom .dropdown .caret {
  border-top: 0;
  border-bottom: 4px dashed;
  border-bottom: 4px solid \9;
  content: "";
}
.dropup .dropdown-menu,
.navbar-fixed-bottom .dropdown .dropdown-menu {
  top: auto;
  bottom: 100%;
  margin-bottom: 2px;
}
@media (min-width: 541px) {
  .navbar-right .dropdown-menu {
    left: auto;
    right: 0;
  }
  .navbar-right .dropdown-menu-left {
    left: 0;
    right: auto;
  }
}
.btn-group,
.btn-group-vertical {
  position: relative;
  display: inline-block;
  vertical-align: middle;
}
.btn-group > .btn,
.btn-group-vertical > .btn {
  position: relative;
  float: left;
}
.btn-group > .btn:hover,
.btn-group-vertical > .btn:hover,
.btn-group > .btn:focus,
.btn-group-vertical > .btn:focus,
.btn-group > .btn:active,
.btn-group-vertical > .btn:active,
.btn-group > .btn.active,
.btn-group-vertical > .btn.active {
  z-index: 2;
}
.btn-group .btn + .btn,
.btn-group .btn + .btn-group,
.btn-group .btn-group + .btn,
.btn-group .btn-group + .btn-group {
  margin-left: -1px;
}
.btn-toolbar {
  margin-left: -5px;
}
.btn-toolbar .btn,
.btn-toolbar .btn-group,
.btn-toolbar .input-group {
  float: left;
}
.btn-toolbar > .btn,
.btn-toolbar > .btn-group,
.btn-toolbar > .input-group {
  margin-left: 5px;
}
.btn-group > .btn:not(:first-child):not(:last-child):not(.dropdown-toggle) {
  border-radius: 0;
}
.btn-group > .btn:first-child {
  margin-left: 0;
}
.btn-group > .btn:first-child:not(:last-child):not(.dropdown-toggle) {
  border-bottom-right-radius: 0;
  border-top-right-radius: 0;
}
.btn-group > .btn:last-child:not(:first-child),
.btn-group > .dropdown-toggle:not(:first-child) {
  border-bottom-left-radius: 0;
  border-top-left-radius: 0;
}
.btn-group > .btn-group {
  float: left;
}
.btn-group > .btn-group:not(:first-child):not(:last-child) > .btn {
  border-radius: 0;
}
.btn-group > .btn-group:first-child:not(:last-child) > .btn:last-child,
.btn-group > .btn-group:first-child:not(:last-child) > .dropdown-toggle {
  border-bottom-right-radius: 0;
  border-top-right-radius: 0;
}
.btn-group > .btn-group:last-child:not(:first-child) > .btn:first-child {
  border-bottom-left-radius: 0;
  border-top-left-radius: 0;
}
.btn-group .dropdown-toggle:active,
.btn-group.open .dropdown-toggle {
  outline: 0;
}
.btn-group > .btn + .dropdown-toggle {
  padding-left: 8px;
  padding-right: 8px;
}
.btn-group > .btn-lg + .dropdown-toggle {
  padding-left: 12px;
  padding-right: 12px;
}
.btn-group.open .dropdown-toggle {
  -webkit-box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
  box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
}
.btn-group.open .dropdown-toggle.btn-link {
  -webkit-box-shadow: none;
  box-shadow: none;
}
.btn .caret {
  margin-left: 0;
}
.btn-lg .caret {
  border-width: 5px 5px 0;
  border-bottom-width: 0;
}
.dropup .btn-lg .caret {
  border-width: 0 5px 5px;
}
.btn-group-vertical > .btn,
.btn-group-vertical > .btn-group,
.btn-group-vertical > .btn-group > .btn {
  display: block;
  float: none;
  width: 100%;
  max-width: 100%;
}
.btn-group-vertical > .btn-group > .btn {
  float: none;
}
.btn-group-vertical > .btn + .btn,
.btn-group-vertical > .btn + .btn-group,
.btn-group-vertical > .btn-group + .btn,
.btn-group-vertical > .btn-group + .btn-group {
  margin-top: -1px;
  margin-left: 0;
}
.btn-group-vertical > .btn:not(:first-child):not(:last-child) {
  border-radius: 0;
}
.btn-group-vertical > .btn:first-child:not(:last-child) {
  border-top-right-radius: 2px;
  border-top-left-radius: 2px;
  border-bottom-right-radius: 0;
  border-bottom-left-radius: 0;
}
.btn-group-vertical > .btn:last-child:not(:first-child) {
  border-top-right-radius: 0;
  border-top-left-radius: 0;
  border-bottom-right-radius: 2px;
  border-bottom-left-radius: 2px;
}
.btn-group-vertical > .btn-group:not(:first-child):not(:last-child) > .btn {
  border-radius: 0;
}
.btn-group-vertical > .btn-group:first-child:not(:last-child) > .btn:last-child,
.btn-group-vertical > .btn-group:first-child:not(:last-child) > .dropdown-toggle {
  border-bottom-right-radius: 0;
  border-bottom-left-radius: 0;
}
.btn-group-vertical > .btn-group:last-child:not(:first-child) > .btn:first-child {
  border-top-right-radius: 0;
  border-top-left-radius: 0;
}
.btn-group-justified {
  display: table;
  width: 100%;
  table-layout: fixed;
  border-collapse: separate;
}
.btn-group-justified > .btn,
.btn-group-justified > .btn-group {
  float: none;
  display: table-cell;
  width: 1%;
}
.btn-group-justified > .btn-group .btn {
  width: 100%;
}
.btn-group-justified > .btn-group .dropdown-menu {
  left: auto;
}
[data-toggle="buttons"] > .btn input[type="radio"],
[data-toggle="buttons"] > .btn-group > .btn input[type="radio"],
[data-toggle="buttons"] > .btn input[type="checkbox"],
[data-toggle="buttons"] > .btn-group > .btn input[type="checkbox"] {
  position: absolute;
  clip: rect(0, 0, 0, 0);
  pointer-events: none;
}
.input-group {
  position: relative;
  display: table;
  border-collapse: separate;
}
.input-group[class*="col-"] {
  float: none;
  padding-left: 0;
  padding-right: 0;
}
.input-group .form-control {
  position: relative;
  z-index: 2;
  float: left;
  width: 100%;
  margin-bottom: 0;
}
.input-group .form-control:focus {
  z-index: 3;
}
.input-group-lg > .form-control,
.input-group-lg > .input-group-addon,
.input-group-lg > .input-group-btn > .btn {
  height: 45px;
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
select.input-group-lg > .form-control,
select.input-group-lg > .input-group-addon,
select.input-group-lg > .input-group-btn > .btn {
  height: 45px;
  line-height: 45px;
}
textarea.input-group-lg > .form-control,
textarea.input-group-lg > .input-group-addon,
textarea.input-group-lg > .input-group-btn > .btn,
select[multiple].input-group-lg > .form-control,
select[multiple].input-group-lg > .input-group-addon,
select[multiple].input-group-lg > .input-group-btn > .btn {
  height: auto;
}
.input-group-sm > .form-control,
.input-group-sm > .input-group-addon,
.input-group-sm > .input-group-btn > .btn {
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
select.input-group-sm > .form-control,
select.input-group-sm > .input-group-addon,
select.input-group-sm > .input-group-btn > .btn {
  height: 30px;
  line-height: 30px;
}
textarea.input-group-sm > .form-control,
textarea.input-group-sm > .input-group-addon,
textarea.input-group-sm > .input-group-btn > .btn,
select[multiple].input-group-sm > .form-control,
select[multiple].input-group-sm > .input-group-addon,
select[multiple].input-group-sm > .input-group-btn > .btn {
  height: auto;
}
.input-group-addon,
.input-group-btn,
.input-group .form-control {
  display: table-cell;
}
.input-group-addon:not(:first-child):not(:last-child),
.input-group-btn:not(:first-child):not(:last-child),
.input-group .form-control:not(:first-child):not(:last-child) {
  border-radius: 0;
}
.input-group-addon,
.input-group-btn {
  width: 1%;
  white-space: nowrap;
  vertical-align: middle;
}
.input-group-addon {
  padding: 6px 12px;
  font-size: 13px;
  font-weight: normal;
  line-height: 1;
  color: #555555;
  text-align: center;
  background-color: #eeeeee;
  border: 1px solid #ccc;
  border-radius: 2px;
}
.input-group-addon.input-sm {
  padding: 5px 10px;
  font-size: 12px;
  border-radius: 1px;
}
.input-group-addon.input-lg {
  padding: 10px 16px;
  font-size: 17px;
  border-radius: 3px;
}
.input-group-addon input[type="radio"],
.input-group-addon input[type="checkbox"] {
  margin-top: 0;
}
.input-group .form-control:first-child,
.input-group-addon:first-child,
.input-group-btn:first-child > .btn,
.input-group-btn:first-child > .btn-group > .btn,
.input-group-btn:first-child > .dropdown-toggle,
.input-group-btn:last-child > .btn:not(:last-child):not(.dropdown-toggle),
.input-group-btn:last-child > .btn-group:not(:last-child) > .btn {
  border-bottom-right-radius: 0;
  border-top-right-radius: 0;
}
.input-group-addon:first-child {
  border-right: 0;
}
.input-group .form-control:last-child,
.input-group-addon:last-child,
.input-group-btn:last-child > .btn,
.input-group-btn:last-child > .btn-group > .btn,
.input-group-btn:last-child > .dropdown-toggle,
.input-group-btn:first-child > .btn:not(:first-child),
.input-group-btn:first-child > .btn-group:not(:first-child) > .btn {
  border-bottom-left-radius: 0;
  border-top-left-radius: 0;
}
.input-group-addon:last-child {
  border-left: 0;
}
.input-group-btn {
  position: relative;
  font-size: 0;
  white-space: nowrap;
}
.input-group-btn > .btn {
  position: relative;
}
.input-group-btn > .btn + .btn {
  margin-left: -1px;
}
.input-group-btn > .btn:hover,
.input-group-btn > .btn:focus,
.input-group-btn > .btn:active {
  z-index: 2;
}
.input-group-btn:first-child > .btn,
.input-group-btn:first-child > .btn-group {
  margin-right: -1px;
}
.input-group-btn:last-child > .btn,
.input-group-btn:last-child > .btn-group {
  z-index: 2;
  margin-left: -1px;
}
.nav {
  margin-bottom: 0;
  padding-left: 0;
  list-style: none;
}
.nav > li {
  position: relative;
  display: block;
}
.nav > li > a {
  position: relative;
  display: block;
  padding: 10px 15px;
}
.nav > li > a:hover,
.nav > li > a:focus {
  text-decoration: none;
  background-color: #eeeeee;
}
.nav > li.disabled > a {
  color: #777777;
}
.nav > li.disabled > a:hover,
.nav > li.disabled > a:focus {
  color: #777777;
  text-decoration: none;
  background-color: transparent;
  cursor: not-allowed;
}
.nav .open > a,
.nav .open > a:hover,
.nav .open > a:focus {
  background-color: #eeeeee;
  border-color: #337ab7;
}
.nav .nav-divider {
  height: 1px;
  margin: 8px 0;
  overflow: hidden;
  background-color: #e5e5e5;
}
.nav > li > a > img {
  max-width: none;
}
.nav-tabs {
  border-bottom: 1px solid #ddd;
}
.nav-tabs > li {
  float: left;
  margin-bottom: -1px;
}
.nav-tabs > li > a {
  margin-right: 2px;
  line-height: 1.42857143;
  border: 1px solid transparent;
  border-radius: 2px 2px 0 0;
}
.nav-tabs > li > a:hover {
  border-color: #eeeeee #eeeeee #ddd;
}
.nav-tabs > li.active > a,
.nav-tabs > li.active > a:hover,
.nav-tabs > li.active > a:focus {
  color: #555555;
  background-color: #fff;
  border: 1px solid #ddd;
  border-bottom-color: transparent;
  cursor: default;
}
.nav-tabs.nav-justified {
  width: 100%;
  border-bottom: 0;
}
.nav-tabs.nav-justified > li {
  float: none;
}
.nav-tabs.nav-justified > li > a {
  text-align: center;
  margin-bottom: 5px;
}
.nav-tabs.nav-justified > .dropdown .dropdown-menu {
  top: auto;
  left: auto;
}
@media (min-width: 768px) {
  .nav-tabs.nav-justified > li {
    display: table-cell;
    width: 1%;
  }
  .nav-tabs.nav-justified > li > a {
    margin-bottom: 0;
  }
}
.nav-tabs.nav-justified > li > a {
  margin-right: 0;
  border-radius: 2px;
}
.nav-tabs.nav-justified > .active > a,
.nav-tabs.nav-justified > .active > a:hover,
.nav-tabs.nav-justified > .active > a:focus {
  border: 1px solid #ddd;
}
@media (min-width: 768px) {
  .nav-tabs.nav-justified > li > a {
    border-bottom: 1px solid #ddd;
    border-radius: 2px 2px 0 0;
  }
  .nav-tabs.nav-justified > .active > a,
  .nav-tabs.nav-justified > .active > a:hover,
  .nav-tabs.nav-justified > .active > a:focus {
    border-bottom-color: #fff;
  }
}
.nav-pills > li {
  float: left;
}
.nav-pills > li > a {
  border-radius: 2px;
}
.nav-pills > li + li {
  margin-left: 2px;
}
.nav-pills > li.active > a,
.nav-pills > li.active > a:hover,
.nav-pills > li.active > a:focus {
  color: #fff;
  background-color: #337ab7;
}
.nav-stacked > li {
  float: none;
}
.nav-stacked > li + li {
  margin-top: 2px;
  margin-left: 0;
}
.nav-justified {
  width: 100%;
}
.nav-justified > li {
  float: none;
}
.nav-justified > li > a {
  text-align: center;
  margin-bottom: 5px;
}
.nav-justified > .dropdown .dropdown-menu {
  top: auto;
  left: auto;
}
@media (min-width: 768px) {
  .nav-justified > li {
    display: table-cell;
    width: 1%;
  }
  .nav-justified > li > a {
    margin-bottom: 0;
  }
}
.nav-tabs-justified {
  border-bottom: 0;
}
.nav-tabs-justified > li > a {
  margin-right: 0;
  border-radius: 2px;
}
.nav-tabs-justified > .active > a,
.nav-tabs-justified > .active > a:hover,
.nav-tabs-justified > .active > a:focus {
  border: 1px solid #ddd;
}
@media (min-width: 768px) {
  .nav-tabs-justified > li > a {
    border-bottom: 1px solid #ddd;
    border-radius: 2px 2px 0 0;
  }
  .nav-tabs-justified > .active > a,
  .nav-tabs-justified > .active > a:hover,
  .nav-tabs-justified > .active > a:focus {
    border-bottom-color: #fff;
  }
}
.tab-content > .tab-pane {
  display: none;
}
.tab-content > .active {
  display: block;
}
.nav-tabs .dropdown-menu {
  margin-top: -1px;
  border-top-right-radius: 0;
  border-top-left-radius: 0;
}
.navbar {
  position: relative;
  min-height: 30px;
  margin-bottom: 18px;
  border: 1px solid transparent;
}
@media (min-width: 541px) {
  .navbar {
    border-radius: 2px;
  }
}
@media (min-width: 541px) {
  .navbar-header {
    float: left;
  }
}
.navbar-collapse {
  overflow-x: visible;
  padding-right: 0px;
  padding-left: 0px;
  border-top: 1px solid transparent;
  box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1);
  -webkit-overflow-scrolling: touch;
}
.navbar-collapse.in {
  overflow-y: auto;
}
@media (min-width: 541px) {
  .navbar-collapse {
    width: auto;
    border-top: 0;
    box-shadow: none;
  }
  .navbar-collapse.collapse {
    display: block !important;
    height: auto !important;
    padding-bottom: 0;
    overflow: visible !important;
  }
  .navbar-collapse.in {
    overflow-y: visible;
  }
  .navbar-fixed-top .navbar-collapse,
  .navbar-static-top .navbar-collapse,
  .navbar-fixed-bottom .navbar-collapse {
    padding-left: 0;
    padding-right: 0;
  }
}
.navbar-fixed-top .navbar-collapse,
.navbar-fixed-bottom .navbar-collapse {
  max-height: 340px;
}
@media (max-device-width: 540px) and (orientation: landscape) {
  .navbar-fixed-top .navbar-collapse,
  .navbar-fixed-bottom .navbar-collapse {
    max-height: 200px;
  }
}
.container > .navbar-header,
.container-fluid > .navbar-header,
.container > .navbar-collapse,
.container-fluid > .navbar-collapse {
  margin-right: 0px;
  margin-left: 0px;
}
@media (min-width: 541px) {
  .container > .navbar-header,
  .container-fluid > .navbar-header,
  .container > .navbar-collapse,
  .container-fluid > .navbar-collapse {
    margin-right: 0;
    margin-left: 0;
  }
}
.navbar-static-top {
  z-index: 1000;
  border-width: 0 0 1px;
}
@media (min-width: 541px) {
  .navbar-static-top {
    border-radius: 0;
  }
}
.navbar-fixed-top,
.navbar-fixed-bottom {
  position: fixed;
  right: 0;
  left: 0;
  z-index: 1030;
}
@media (min-width: 541px) {
  .navbar-fixed-top,
  .navbar-fixed-bottom {
    border-radius: 0;
  }
}
.navbar-fixed-top {
  top: 0;
  border-width: 0 0 1px;
}
.navbar-fixed-bottom {
  bottom: 0;
  margin-bottom: 0;
  border-width: 1px 0 0;
}
.navbar-brand {
  float: left;
  padding: 6px 0px;
  font-size: 17px;
  line-height: 18px;
  height: 30px;
}
.navbar-brand:hover,
.navbar-brand:focus {
  text-decoration: none;
}
.navbar-brand > img {
  display: block;
}
@media (min-width: 541px) {
  .navbar > .container .navbar-brand,
  .navbar > .container-fluid .navbar-brand {
    margin-left: 0px;
  }
}
.navbar-toggle {
  position: relative;
  float: right;
  margin-right: 0px;
  padding: 9px 10px;
  margin-top: -2px;
  margin-bottom: -2px;
  background-color: transparent;
  background-image: none;
  border: 1px solid transparent;
  border-radius: 2px;
}
.navbar-toggle:focus {
  outline: 0;
}
.navbar-toggle .icon-bar {
  display: block;
  width: 22px;
  height: 2px;
  border-radius: 1px;
}
.navbar-toggle .icon-bar + .icon-bar {
  margin-top: 4px;
}
@media (min-width: 541px) {
  .navbar-toggle {
    display: none;
  }
}
.navbar-nav {
  margin: 3px 0px;
}
.navbar-nav > li > a {
  padding-top: 10px;
  padding-bottom: 10px;
  line-height: 18px;
}
@media (max-width: 540px) {
  .navbar-nav .open .dropdown-menu {
    position: static;
    float: none;
    width: auto;
    margin-top: 0;
    background-color: transparent;
    border: 0;
    box-shadow: none;
  }
  .navbar-nav .open .dropdown-menu > li > a,
  .navbar-nav .open .dropdown-menu .dropdown-header {
    padding: 5px 15px 5px 25px;
  }
  .navbar-nav .open .dropdown-menu > li > a {
    line-height: 18px;
  }
  .navbar-nav .open .dropdown-menu > li > a:hover,
  .navbar-nav .open .dropdown-menu > li > a:focus {
    background-image: none;
  }
}
@media (min-width: 541px) {
  .navbar-nav {
    float: left;
    margin: 0;
  }
  .navbar-nav > li {
    float: left;
  }
  .navbar-nav > li > a {
    padding-top: 6px;
    padding-bottom: 6px;
  }
}
.navbar-form {
  margin-left: 0px;
  margin-right: 0px;
  padding: 10px 0px;
  border-top: 1px solid transparent;
  border-bottom: 1px solid transparent;
  -webkit-box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1), 0 1px 0 rgba(255, 255, 255, 0.1);
  box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1), 0 1px 0 rgba(255, 255, 255, 0.1);
  margin-top: -1px;
  margin-bottom: -1px;
}
@media (min-width: 768px) {
  .navbar-form .form-group {
    display: inline-block;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .navbar-form .form-control {
    display: inline-block;
    width: auto;
    vertical-align: middle;
  }
  .navbar-form .form-control-static {
    display: inline-block;
  }
  .navbar-form .input-group {
    display: inline-table;
    vertical-align: middle;
  }
  .navbar-form .input-group .input-group-addon,
  .navbar-form .input-group .input-group-btn,
  .navbar-form .input-group .form-control {
    width: auto;
  }
  .navbar-form .input-group > .form-control {
    width: 100%;
  }
  .navbar-form .control-label {
    margin-bottom: 0;
    vertical-align: middle;
  }
  .navbar-form .radio,
  .navbar-form .checkbox {
    display: inline-block;
    margin-top: 0;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .navbar-form .radio label,
  .navbar-form .checkbox label {
    padding-left: 0;
  }
  .navbar-form .radio input[type="radio"],
  .navbar-form .checkbox input[type="checkbox"] {
    position: relative;
    margin-left: 0;
  }
  .navbar-form .has-feedback .form-control-feedback {
    top: 0;
  }
}
@media (max-width: 540px) {
  .navbar-form .form-group {
    margin-bottom: 5px;
  }
  .navbar-form .form-group:last-child {
    margin-bottom: 0;
  }
}
@media (min-width: 541px) {
  .navbar-form {
    width: auto;
    border: 0;
    margin-left: 0;
    margin-right: 0;
    padding-top: 0;
    padding-bottom: 0;
    -webkit-box-shadow: none;
    box-shadow: none;
  }
}
.navbar-nav > li > .dropdown-menu {
  margin-top: 0;
  border-top-right-radius: 0;
  border-top-left-radius: 0;
}
.navbar-fixed-bottom .navbar-nav > li > .dropdown-menu {
  margin-bottom: 0;
  border-top-right-radius: 2px;
  border-top-left-radius: 2px;
  border-bottom-right-radius: 0;
  border-bottom-left-radius: 0;
}
.navbar-btn {
  margin-top: -1px;
  margin-bottom: -1px;
}
.navbar-btn.btn-sm {
  margin-top: 0px;
  margin-bottom: 0px;
}
.navbar-btn.btn-xs {
  margin-top: 4px;
  margin-bottom: 4px;
}
.navbar-text {
  margin-top: 6px;
  margin-bottom: 6px;
}
@media (min-width: 541px) {
  .navbar-text {
    float: left;
    margin-left: 0px;
    margin-right: 0px;
  }
}
@media (min-width: 541px) {
  .navbar-left {
    float: left !important;
    float: left;
  }
  .navbar-right {
    float: right !important;
    float: right;
    margin-right: 0px;
  }
  .navbar-right ~ .navbar-right {
    margin-right: 0;
  }
}
.navbar-default {
  background-color: #f8f8f8;
  border-color: #e7e7e7;
}
.navbar-default .navbar-brand {
  color: #777;
}
.navbar-default .navbar-brand:hover,
.navbar-default .navbar-brand:focus {
  color: #5e5e5e;
  background-color: transparent;
}
.navbar-default .navbar-text {
  color: #777;
}
.navbar-default .navbar-nav > li > a {
  color: #777;
}
.navbar-default .navbar-nav > li > a:hover,
.navbar-default .navbar-nav > li > a:focus {
  color: #333;
  background-color: transparent;
}
.navbar-default .navbar-nav > .active > a,
.navbar-default .navbar-nav > .active > a:hover,
.navbar-default .navbar-nav > .active > a:focus {
  color: #555;
  background-color: #e7e7e7;
}
.navbar-default .navbar-nav > .disabled > a,
.navbar-default .navbar-nav > .disabled > a:hover,
.navbar-default .navbar-nav > .disabled > a:focus {
  color: #ccc;
  background-color: transparent;
}
.navbar-default .navbar-toggle {
  border-color: #ddd;
}
.navbar-default .navbar-toggle:hover,
.navbar-default .navbar-toggle:focus {
  background-color: #ddd;
}
.navbar-default .navbar-toggle .icon-bar {
  background-color: #888;
}
.navbar-default .navbar-collapse,
.navbar-default .navbar-form {
  border-color: #e7e7e7;
}
.navbar-default .navbar-nav > .open > a,
.navbar-default .navbar-nav > .open > a:hover,
.navbar-default .navbar-nav > .open > a:focus {
  background-color: #e7e7e7;
  color: #555;
}
@media (max-width: 540px) {
  .navbar-default .navbar-nav .open .dropdown-menu > li > a {
    color: #777;
  }
  .navbar-default .navbar-nav .open .dropdown-menu > li > a:hover,
  .navbar-default .navbar-nav .open .dropdown-menu > li > a:focus {
    color: #333;
    background-color: transparent;
  }
  .navbar-default .navbar-nav .open .dropdown-menu > .active > a,
  .navbar-default .navbar-nav .open .dropdown-menu > .active > a:hover,
  .navbar-default .navbar-nav .open .dropdown-menu > .active > a:focus {
    color: #555;
    background-color: #e7e7e7;
  }
  .navbar-default .navbar-nav .open .dropdown-menu > .disabled > a,
  .navbar-default .navbar-nav .open .dropdown-menu > .disabled > a:hover,
  .navbar-default .navbar-nav .open .dropdown-menu > .disabled > a:focus {
    color: #ccc;
    background-color: transparent;
  }
}
.navbar-default .navbar-link {
  color: #777;
}
.navbar-default .navbar-link:hover {
  color: #333;
}
.navbar-default .btn-link {
  color: #777;
}
.navbar-default .btn-link:hover,
.navbar-default .btn-link:focus {
  color: #333;
}
.navbar-default .btn-link[disabled]:hover,
fieldset[disabled] .navbar-default .btn-link:hover,
.navbar-default .btn-link[disabled]:focus,
fieldset[disabled] .navbar-default .btn-link:focus {
  color: #ccc;
}
.navbar-inverse {
  background-color: #222;
  border-color: #080808;
}
.navbar-inverse .navbar-brand {
  color: #9d9d9d;
}
.navbar-inverse .navbar-brand:hover,
.navbar-inverse .navbar-brand:focus {
  color: #fff;
  background-color: transparent;
}
.navbar-inverse .navbar-text {
  color: #9d9d9d;
}
.navbar-inverse .navbar-nav > li > a {
  color: #9d9d9d;
}
.navbar-inverse .navbar-nav > li > a:hover,
.navbar-inverse .navbar-nav > li > a:focus {
  color: #fff;
  background-color: transparent;
}
.navbar-inverse .navbar-nav > .active > a,
.navbar-inverse .navbar-nav > .active > a:hover,
.navbar-inverse .navbar-nav > .active > a:focus {
  color: #fff;
  background-color: #080808;
}
.navbar-inverse .navbar-nav > .disabled > a,
.navbar-inverse .navbar-nav > .disabled > a:hover,
.navbar-inverse .navbar-nav > .disabled > a:focus {
  color: #444;
  background-color: transparent;
}
.navbar-inverse .navbar-toggle {
  border-color: #333;
}
.navbar-inverse .navbar-toggle:hover,
.navbar-inverse .navbar-toggle:focus {
  background-color: #333;
}
.navbar-inverse .navbar-toggle .icon-bar {
  background-color: #fff;
}
.navbar-inverse .navbar-collapse,
.navbar-inverse .navbar-form {
  border-color: #101010;
}
.navbar-inverse .navbar-nav > .open > a,
.navbar-inverse .navbar-nav > .open > a:hover,
.navbar-inverse .navbar-nav > .open > a:focus {
  background-color: #080808;
  color: #fff;
}
@media (max-width: 540px) {
  .navbar-inverse .navbar-nav .open .dropdown-menu > .dropdown-header {
    border-color: #080808;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu .divider {
    background-color: #080808;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > li > a {
    color: #9d9d9d;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > li > a:hover,
  .navbar-inverse .navbar-nav .open .dropdown-menu > li > a:focus {
    color: #fff;
    background-color: transparent;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > .active > a,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .active > a:hover,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .active > a:focus {
    color: #fff;
    background-color: #080808;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a:hover,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a:focus {
    color: #444;
    background-color: transparent;
  }
}
.navbar-inverse .navbar-link {
  color: #9d9d9d;
}
.navbar-inverse .navbar-link:hover {
  color: #fff;
}
.navbar-inverse .btn-link {
  color: #9d9d9d;
}
.navbar-inverse .btn-link:hover,
.navbar-inverse .btn-link:focus {
  color: #fff;
}
.navbar-inverse .btn-link[disabled]:hover,
fieldset[disabled] .navbar-inverse .btn-link:hover,
.navbar-inverse .btn-link[disabled]:focus,
fieldset[disabled] .navbar-inverse .btn-link:focus {
  color: #444;
}
.breadcrumb {
  padding: 8px 15px;
  margin-bottom: 18px;
  list-style: none;
  background-color: #f5f5f5;
  border-radius: 2px;
}
.breadcrumb > li {
  display: inline-block;
}
.breadcrumb > li + li:before {
  content: "/\00a0";
  padding: 0 5px;
  color: #5e5e5e;
}
.breadcrumb > .active {
  color: #777777;
}
.pagination {
  display: inline-block;
  padding-left: 0;
  margin: 18px 0;
  border-radius: 2px;
}
.pagination > li {
  display: inline;
}
.pagination > li > a,
.pagination > li > span {
  position: relative;
  float: left;
  padding: 6px 12px;
  line-height: 1.42857143;
  text-decoration: none;
  color: #337ab7;
  background-color: #fff;
  border: 1px solid #ddd;
  margin-left: -1px;
}
.pagination > li:first-child > a,
.pagination > li:first-child > span {
  margin-left: 0;
  border-bottom-left-radius: 2px;
  border-top-left-radius: 2px;
}
.pagination > li:last-child > a,
.pagination > li:last-child > span {
  border-bottom-right-radius: 2px;
  border-top-right-radius: 2px;
}
.pagination > li > a:hover,
.pagination > li > span:hover,
.pagination > li > a:focus,
.pagination > li > span:focus {
  z-index: 2;
  color: #23527c;
  background-color: #eeeeee;
  border-color: #ddd;
}
.pagination > .active > a,
.pagination > .active > span,
.pagination > .active > a:hover,
.pagination > .active > span:hover,
.pagination > .active > a:focus,
.pagination > .active > span:focus {
  z-index: 3;
  color: #fff;
  background-color: #337ab7;
  border-color: #337ab7;
  cursor: default;
}
.pagination > .disabled > span,
.pagination > .disabled > span:hover,
.pagination > .disabled > span:focus,
.pagination > .disabled > a,
.pagination > .disabled > a:hover,
.pagination > .disabled > a:focus {
  color: #777777;
  background-color: #fff;
  border-color: #ddd;
  cursor: not-allowed;
}
.pagination-lg > li > a,
.pagination-lg > li > span {
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
}
.pagination-lg > li:first-child > a,
.pagination-lg > li:first-child > span {
  border-bottom-left-radius: 3px;
  border-top-left-radius: 3px;
}
.pagination-lg > li:last-child > a,
.pagination-lg > li:last-child > span {
  border-bottom-right-radius: 3px;
  border-top-right-radius: 3px;
}
.pagination-sm > li > a,
.pagination-sm > li > span {
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
}
.pagination-sm > li:first-child > a,
.pagination-sm > li:first-child > span {
  border-bottom-left-radius: 1px;
  border-top-left-radius: 1px;
}
.pagination-sm > li:last-child > a,
.pagination-sm > li:last-child > span {
  border-bottom-right-radius: 1px;
  border-top-right-radius: 1px;
}
.pager {
  padding-left: 0;
  margin: 18px 0;
  list-style: none;
  text-align: center;
}
.pager li {
  display: inline;
}
.pager li > a,
.pager li > span {
  display: inline-block;
  padding: 5px 14px;
  background-color: #fff;
  border: 1px solid #ddd;
  border-radius: 15px;
}
.pager li > a:hover,
.pager li > a:focus {
  text-decoration: none;
  background-color: #eeeeee;
}
.pager .next > a,
.pager .next > span {
  float: right;
}
.pager .previous > a,
.pager .previous > span {
  float: left;
}
.pager .disabled > a,
.pager .disabled > a:hover,
.pager .disabled > a:focus,
.pager .disabled > span {
  color: #777777;
  background-color: #fff;
  cursor: not-allowed;
}
.label {
  display: inline;
  padding: .2em .6em .3em;
  font-size: 75%;
  font-weight: bold;
  line-height: 1;
  color: #fff;
  text-align: center;
  white-space: nowrap;
  vertical-align: baseline;
  border-radius: .25em;
}
a.label:hover,
a.label:focus {
  color: #fff;
  text-decoration: none;
  cursor: pointer;
}
.label:empty {
  display: none;
}
.btn .label {
  position: relative;
  top: -1px;
}
.label-default {
  background-color: #777777;
}
.label-default[href]:hover,
.label-default[href]:focus {
  background-color: #5e5e5e;
}
.label-primary {
  background-color: #337ab7;
}
.label-primary[href]:hover,
.label-primary[href]:focus {
  background-color: #286090;
}
.label-success {
  background-color: #5cb85c;
}
.label-success[href]:hover,
.label-success[href]:focus {
  background-color: #449d44;
}
.label-info {
  background-color: #5bc0de;
}
.label-info[href]:hover,
.label-info[href]:focus {
  background-color: #31b0d5;
}
.label-warning {
  background-color: #f0ad4e;
}
.label-warning[href]:hover,
.label-warning[href]:focus {
  background-color: #ec971f;
}
.label-danger {
  background-color: #d9534f;
}
.label-danger[href]:hover,
.label-danger[href]:focus {
  background-color: #c9302c;
}
.badge {
  display: inline-block;
  min-width: 10px;
  padding: 3px 7px;
  font-size: 12px;
  font-weight: bold;
  color: #fff;
  line-height: 1;
  vertical-align: middle;
  white-space: nowrap;
  text-align: center;
  background-color: #777777;
  border-radius: 10px;
}
.badge:empty {
  display: none;
}
.btn .badge {
  position: relative;
  top: -1px;
}
.btn-xs .badge,
.btn-group-xs > .btn .badge {
  top: 0;
  padding: 1px 5px;
}
a.badge:hover,
a.badge:focus {
  color: #fff;
  text-decoration: none;
  cursor: pointer;
}
.list-group-item.active > .badge,
.nav-pills > .active > a > .badge {
  color: #337ab7;
  background-color: #fff;
}
.list-group-item > .badge {
  float: right;
}
.list-group-item > .badge + .badge {
  margin-right: 5px;
}
.nav-pills > li > a > .badge {
  margin-left: 3px;
}
.jumbotron {
  padding-top: 30px;
  padding-bottom: 30px;
  margin-bottom: 30px;
  color: inherit;
  background-color: #eeeeee;
}
.jumbotron h1,
.jumbotron .h1 {
  color: inherit;
}
.jumbotron p {
  margin-bottom: 15px;
  font-size: 20px;
  font-weight: 200;
}
.jumbotron > hr {
  border-top-color: #d5d5d5;
}
.container .jumbotron,
.container-fluid .jumbotron {
  border-radius: 3px;
  padding-left: 0px;
  padding-right: 0px;
}
.jumbotron .container {
  max-width: 100%;
}
@media screen and (min-width: 768px) {
  .jumbotron {
    padding-top: 48px;
    padding-bottom: 48px;
  }
  .container .jumbotron,
  .container-fluid .jumbotron {
    padding-left: 60px;
    padding-right: 60px;
  }
  .jumbotron h1,
  .jumbotron .h1 {
    font-size: 59px;
  }
}
.thumbnail {
  display: block;
  padding: 4px;
  margin-bottom: 18px;
  line-height: 1.42857143;
  background-color: #fff;
  border: 1px solid #ddd;
  border-radius: 2px;
  -webkit-transition: border 0.2s ease-in-out;
  -o-transition: border 0.2s ease-in-out;
  transition: border 0.2s ease-in-out;
}
.thumbnail > img,
.thumbnail a > img {
  margin-left: auto;
  margin-right: auto;
}
a.thumbnail:hover,
a.thumbnail:focus,
a.thumbnail.active {
  border-color: #337ab7;
}
.thumbnail .caption {
  padding: 9px;
  color: #000;
}
.alert {
  padding: 15px;
  margin-bottom: 18px;
  border: 1px solid transparent;
  border-radius: 2px;
}
.alert h4 {
  margin-top: 0;
  color: inherit;
}
.alert .alert-link {
  font-weight: bold;
}
.alert > p,
.alert > ul {
  margin-bottom: 0;
}
.alert > p + p {
  margin-top: 5px;
}
.alert-dismissable,
.alert-dismissible {
  padding-right: 35px;
}
.alert-dismissable .close,
.alert-dismissible .close {
  position: relative;
  top: -2px;
  right: -21px;
  color: inherit;
}
.alert-success {
  background-color: #dff0d8;
  border-color: #d6e9c6;
  color: #3c763d;
}
.alert-success hr {
  border-top-color: #c9e2b3;
}
.alert-success .alert-link {
  color: #2b542c;
}
.alert-info {
  background-color: #d9edf7;
  border-color: #bce8f1;
  color: #31708f;
}
.alert-info hr {
  border-top-color: #a6e1ec;
}
.alert-info .alert-link {
  color: #245269;
}
.alert-warning {
  background-color: #fcf8e3;
  border-color: #faebcc;
  color: #8a6d3b;
}
.alert-warning hr {
  border-top-color: #f7e1b5;
}
.alert-warning .alert-link {
  color: #66512c;
}
.alert-danger {
  background-color: #f2dede;
  border-color: #ebccd1;
  color: #a94442;
}
.alert-danger hr {
  border-top-color: #e4b9c0;
}
.alert-danger .alert-link {
  color: #843534;
}
@-webkit-keyframes progress-bar-stripes {
  from {
    background-position: 40px 0;
  }
  to {
    background-position: 0 0;
  }
}
@keyframes progress-bar-stripes {
  from {
    background-position: 40px 0;
  }
  to {
    background-position: 0 0;
  }
}
.progress {
  overflow: hidden;
  height: 18px;
  margin-bottom: 18px;
  background-color: #f5f5f5;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 2px rgba(0, 0, 0, 0.1);
  box-shadow: inset 0 1px 2px rgba(0, 0, 0, 0.1);
}
.progress-bar {
  float: left;
  width: 0%;
  height: 100%;
  font-size: 12px;
  line-height: 18px;
  color: #fff;
  text-align: center;
  background-color: #337ab7;
  -webkit-box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.15);
  box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.15);
  -webkit-transition: width 0.6s ease;
  -o-transition: width 0.6s ease;
  transition: width 0.6s ease;
}
.progress-striped .progress-bar,
.progress-bar-striped {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-size: 40px 40px;
}
.progress.active .progress-bar,
.progress-bar.active {
  -webkit-animation: progress-bar-stripes 2s linear infinite;
  -o-animation: progress-bar-stripes 2s linear infinite;
  animation: progress-bar-stripes 2s linear infinite;
}
.progress-bar-success {
  background-color: #5cb85c;
}
.progress-striped .progress-bar-success {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.progress-bar-info {
  background-color: #5bc0de;
}
.progress-striped .progress-bar-info {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.progress-bar-warning {
  background-color: #f0ad4e;
}
.progress-striped .progress-bar-warning {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.progress-bar-danger {
  background-color: #d9534f;
}
.progress-striped .progress-bar-danger {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.media {
  margin-top: 15px;
}
.media:first-child {
  margin-top: 0;
}
.media,
.media-body {
  zoom: 1;
  overflow: hidden;
}
.media-body {
  width: 10000px;
}
.media-object {
  display: block;
}
.media-object.img-thumbnail {
  max-width: none;
}
.media-right,
.media > .pull-right {
  padding-left: 10px;
}
.media-left,
.media > .pull-left {
  padding-right: 10px;
}
.media-left,
.media-right,
.media-body {
  display: table-cell;
  vertical-align: top;
}
.media-middle {
  vertical-align: middle;
}
.media-bottom {
  vertical-align: bottom;
}
.media-heading {
  margin-top: 0;
  margin-bottom: 5px;
}
.media-list {
  padding-left: 0;
  list-style: none;
}
.list-group {
  margin-bottom: 20px;
  padding-left: 0;
}
.list-group-item {
  position: relative;
  display: block;
  padding: 10px 15px;
  margin-bottom: -1px;
  background-color: #fff;
  border: 1px solid #ddd;
}
.list-group-item:first-child {
  border-top-right-radius: 2px;
  border-top-left-radius: 2px;
}
.list-group-item:last-child {
  margin-bottom: 0;
  border-bottom-right-radius: 2px;
  border-bottom-left-radius: 2px;
}
a.list-group-item,
button.list-group-item {
  color: #555;
}
a.list-group-item .list-group-item-heading,
button.list-group-item .list-group-item-heading {
  color: #333;
}
a.list-group-item:hover,
button.list-group-item:hover,
a.list-group-item:focus,
button.list-group-item:focus {
  text-decoration: none;
  color: #555;
  background-color: #f5f5f5;
}
button.list-group-item {
  width: 100%;
  text-align: left;
}
.list-group-item.disabled,
.list-group-item.disabled:hover,
.list-group-item.disabled:focus {
  background-color: #eeeeee;
  color: #777777;
  cursor: not-allowed;
}
.list-group-item.disabled .list-group-item-heading,
.list-group-item.disabled:hover .list-group-item-heading,
.list-group-item.disabled:focus .list-group-item-heading {
  color: inherit;
}
.list-group-item.disabled .list-group-item-text,
.list-group-item.disabled:hover .list-group-item-text,
.list-group-item.disabled:focus .list-group-item-text {
  color: #777777;
}
.list-group-item.active,
.list-group-item.active:hover,
.list-group-item.active:focus {
  z-index: 2;
  color: #fff;
  background-color: #337ab7;
  border-color: #337ab7;
}
.list-group-item.active .list-group-item-heading,
.list-group-item.active:hover .list-group-item-heading,
.list-group-item.active:focus .list-group-item-heading,
.list-group-item.active .list-group-item-heading > small,
.list-group-item.active:hover .list-group-item-heading > small,
.list-group-item.active:focus .list-group-item-heading > small,
.list-group-item.active .list-group-item-heading > .small,
.list-group-item.active:hover .list-group-item-heading > .small,
.list-group-item.active:focus .list-group-item-heading > .small {
  color: inherit;
}
.list-group-item.active .list-group-item-text,
.list-group-item.active:hover .list-group-item-text,
.list-group-item.active:focus .list-group-item-text {
  color: #c7ddef;
}
.list-group-item-success {
  color: #3c763d;
  background-color: #dff0d8;
}
a.list-group-item-success,
button.list-group-item-success {
  color: #3c763d;
}
a.list-group-item-success .list-group-item-heading,
button.list-group-item-success .list-group-item-heading {
  color: inherit;
}
a.list-group-item-success:hover,
button.list-group-item-success:hover,
a.list-group-item-success:focus,
button.list-group-item-success:focus {
  color: #3c763d;
  background-color: #d0e9c6;
}
a.list-group-item-success.active,
button.list-group-item-success.active,
a.list-group-item-success.active:hover,
button.list-group-item-success.active:hover,
a.list-group-item-success.active:focus,
button.list-group-item-success.active:focus {
  color: #fff;
  background-color: #3c763d;
  border-color: #3c763d;
}
.list-group-item-info {
  color: #31708f;
  background-color: #d9edf7;
}
a.list-group-item-info,
button.list-group-item-info {
  color: #31708f;
}
a.list-group-item-info .list-group-item-heading,
button.list-group-item-info .list-group-item-heading {
  color: inherit;
}
a.list-group-item-info:hover,
button.list-group-item-info:hover,
a.list-group-item-info:focus,
button.list-group-item-info:focus {
  color: #31708f;
  background-color: #c4e3f3;
}
a.list-group-item-info.active,
button.list-group-item-info.active,
a.list-group-item-info.active:hover,
button.list-group-item-info.active:hover,
a.list-group-item-info.active:focus,
button.list-group-item-info.active:focus {
  color: #fff;
  background-color: #31708f;
  border-color: #31708f;
}
.list-group-item-warning {
  color: #8a6d3b;
  background-color: #fcf8e3;
}
a.list-group-item-warning,
button.list-group-item-warning {
  color: #8a6d3b;
}
a.list-group-item-warning .list-group-item-heading,
button.list-group-item-warning .list-group-item-heading {
  color: inherit;
}
a.list-group-item-warning:hover,
button.list-group-item-warning:hover,
a.list-group-item-warning:focus,
button.list-group-item-warning:focus {
  color: #8a6d3b;
  background-color: #faf2cc;
}
a.list-group-item-warning.active,
button.list-group-item-warning.active,
a.list-group-item-warning.active:hover,
button.list-group-item-warning.active:hover,
a.list-group-item-warning.active:focus,
button.list-group-item-warning.active:focus {
  color: #fff;
  background-color: #8a6d3b;
  border-color: #8a6d3b;
}
.list-group-item-danger {
  color: #a94442;
  background-color: #f2dede;
}
a.list-group-item-danger,
button.list-group-item-danger {
  color: #a94442;
}
a.list-group-item-danger .list-group-item-heading,
button.list-group-item-danger .list-group-item-heading {
  color: inherit;
}
a.list-group-item-danger:hover,
button.list-group-item-danger:hover,
a.list-group-item-danger:focus,
button.list-group-item-danger:focus {
  color: #a94442;
  background-color: #ebcccc;
}
a.list-group-item-danger.active,
button.list-group-item-danger.active,
a.list-group-item-danger.active:hover,
button.list-group-item-danger.active:hover,
a.list-group-item-danger.active:focus,
button.list-group-item-danger.active:focus {
  color: #fff;
  background-color: #a94442;
  border-color: #a94442;
}
.list-group-item-heading {
  margin-top: 0;
  margin-bottom: 5px;
}
.list-group-item-text {
  margin-bottom: 0;
  line-height: 1.3;
}
.panel {
  margin-bottom: 18px;
  background-color: #fff;
  border: 1px solid transparent;
  border-radius: 2px;
  -webkit-box-shadow: 0 1px 1px rgba(0, 0, 0, 0.05);
  box-shadow: 0 1px 1px rgba(0, 0, 0, 0.05);
}
.panel-body {
  padding: 15px;
}
.panel-heading {
  padding: 10px 15px;
  border-bottom: 1px solid transparent;
  border-top-right-radius: 1px;
  border-top-left-radius: 1px;
}
.panel-heading > .dropdown .dropdown-toggle {
  color: inherit;
}
.panel-title {
  margin-top: 0;
  margin-bottom: 0;
  font-size: 15px;
  color: inherit;
}
.panel-title > a,
.panel-title > small,
.panel-title > .small,
.panel-title > small > a,
.panel-title > .small > a {
  color: inherit;
}
.panel-footer {
  padding: 10px 15px;
  background-color: #f5f5f5;
  border-top: 1px solid #ddd;
  border-bottom-right-radius: 1px;
  border-bottom-left-radius: 1px;
}
.panel > .list-group,
.panel > .panel-collapse > .list-group {
  margin-bottom: 0;
}
.panel > .list-group .list-group-item,
.panel > .panel-collapse > .list-group .list-group-item {
  border-width: 1px 0;
  border-radius: 0;
}
.panel > .list-group:first-child .list-group-item:first-child,
.panel > .panel-collapse > .list-group:first-child .list-group-item:first-child {
  border-top: 0;
  border-top-right-radius: 1px;
  border-top-left-radius: 1px;
}
.panel > .list-group:last-child .list-group-item:last-child,
.panel > .panel-collapse > .list-group:last-child .list-group-item:last-child {
  border-bottom: 0;
  border-bottom-right-radius: 1px;
  border-bottom-left-radius: 1px;
}
.panel > .panel-heading + .panel-collapse > .list-group .list-group-item:first-child {
  border-top-right-radius: 0;
  border-top-left-radius: 0;
}
.panel-heading + .list-group .list-group-item:first-child {
  border-top-width: 0;
}
.list-group + .panel-footer {
  border-top-width: 0;
}
.panel > .table,
.panel > .table-responsive > .table,
.panel > .panel-collapse > .table {
  margin-bottom: 0;
}
.panel > .table caption,
.panel > .table-responsive > .table caption,
.panel > .panel-collapse > .table caption {
  padding-left: 15px;
  padding-right: 15px;
}
.panel > .table:first-child,
.panel > .table-responsive:first-child > .table:first-child {
  border-top-right-radius: 1px;
  border-top-left-radius: 1px;
}
.panel > .table:first-child > thead:first-child > tr:first-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child,
.panel > .table:first-child > tbody:first-child > tr:first-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child {
  border-top-left-radius: 1px;
  border-top-right-radius: 1px;
}
.panel > .table:first-child > thead:first-child > tr:first-child td:first-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child td:first-child,
.panel > .table:first-child > tbody:first-child > tr:first-child td:first-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child td:first-child,
.panel > .table:first-child > thead:first-child > tr:first-child th:first-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child th:first-child,
.panel > .table:first-child > tbody:first-child > tr:first-child th:first-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child th:first-child {
  border-top-left-radius: 1px;
}
.panel > .table:first-child > thead:first-child > tr:first-child td:last-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child td:last-child,
.panel > .table:first-child > tbody:first-child > tr:first-child td:last-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child td:last-child,
.panel > .table:first-child > thead:first-child > tr:first-child th:last-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child th:last-child,
.panel > .table:first-child > tbody:first-child > tr:first-child th:last-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child th:last-child {
  border-top-right-radius: 1px;
}
.panel > .table:last-child,
.panel > .table-responsive:last-child > .table:last-child {
  border-bottom-right-radius: 1px;
  border-bottom-left-radius: 1px;
}
.panel > .table:last-child > tbody:last-child > tr:last-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child {
  border-bottom-left-radius: 1px;
  border-bottom-right-radius: 1px;
}
.panel > .table:last-child > tbody:last-child > tr:last-child td:first-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child td:first-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child td:first-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child td:first-child,
.panel > .table:last-child > tbody:last-child > tr:last-child th:first-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child th:first-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child th:first-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child th:first-child {
  border-bottom-left-radius: 1px;
}
.panel > .table:last-child > tbody:last-child > tr:last-child td:last-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child td:last-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child td:last-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child td:last-child,
.panel > .table:last-child > tbody:last-child > tr:last-child th:last-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child th:last-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child th:last-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child th:last-child {
  border-bottom-right-radius: 1px;
}
.panel > .panel-body + .table,
.panel > .panel-body + .table-responsive,
.panel > .table + .panel-body,
.panel > .table-responsive + .panel-body {
  border-top: 1px solid #ddd;
}
.panel > .table > tbody:first-child > tr:first-child th,
.panel > .table > tbody:first-child > tr:first-child td {
  border-top: 0;
}
.panel > .table-bordered,
.panel > .table-responsive > .table-bordered {
  border: 0;
}
.panel > .table-bordered > thead > tr > th:first-child,
.panel > .table-responsive > .table-bordered > thead > tr > th:first-child,
.panel > .table-bordered > tbody > tr > th:first-child,
.panel > .table-responsive > .table-bordered > tbody > tr > th:first-child,
.panel > .table-bordered > tfoot > tr > th:first-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > th:first-child,
.panel > .table-bordered > thead > tr > td:first-child,
.panel > .table-responsive > .table-bordered > thead > tr > td:first-child,
.panel > .table-bordered > tbody > tr > td:first-child,
.panel > .table-responsive > .table-bordered > tbody > tr > td:first-child,
.panel > .table-bordered > tfoot > tr > td:first-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > td:first-child {
  border-left: 0;
}
.panel > .table-bordered > thead > tr > th:last-child,
.panel > .table-responsive > .table-bordered > thead > tr > th:last-child,
.panel > .table-bordered > tbody > tr > th:last-child,
.panel > .table-responsive > .table-bordered > tbody > tr > th:last-child,
.panel > .table-bordered > tfoot > tr > th:last-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > th:last-child,
.panel > .table-bordered > thead > tr > td:last-child,
.panel > .table-responsive > .table-bordered > thead > tr > td:last-child,
.panel > .table-bordered > tbody > tr > td:last-child,
.panel > .table-responsive > .table-bordered > tbody > tr > td:last-child,
.panel > .table-bordered > tfoot > tr > td:last-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > td:last-child {
  border-right: 0;
}
.panel > .table-bordered > thead > tr:first-child > td,
.panel > .table-responsive > .table-bordered > thead > tr:first-child > td,
.panel > .table-bordered > tbody > tr:first-child > td,
.panel > .table-responsive > .table-bordered > tbody > tr:first-child > td,
.panel > .table-bordered > thead > tr:first-child > th,
.panel > .table-responsive > .table-bordered > thead > tr:first-child > th,
.panel > .table-bordered > tbody > tr:first-child > th,
.panel > .table-responsive > .table-bordered > tbody > tr:first-child > th {
  border-bottom: 0;
}
.panel > .table-bordered > tbody > tr:last-child > td,
.panel > .table-responsive > .table-bordered > tbody > tr:last-child > td,
.panel > .table-bordered > tfoot > tr:last-child > td,
.panel > .table-responsive > .table-bordered > tfoot > tr:last-child > td,
.panel > .table-bordered > tbody > tr:last-child > th,
.panel > .table-responsive > .table-bordered > tbody > tr:last-child > th,
.panel > .table-bordered > tfoot > tr:last-child > th,
.panel > .table-responsive > .table-bordered > tfoot > tr:last-child > th {
  border-bottom: 0;
}
.panel > .table-responsive {
  border: 0;
  margin-bottom: 0;
}
.panel-group {
  margin-bottom: 18px;
}
.panel-group .panel {
  margin-bottom: 0;
  border-radius: 2px;
}
.panel-group .panel + .panel {
  margin-top: 5px;
}
.panel-group .panel-heading {
  border-bottom: 0;
}
.panel-group .panel-heading + .panel-collapse > .panel-body,
.panel-group .panel-heading + .panel-collapse > .list-group {
  border-top: 1px solid #ddd;
}
.panel-group .panel-footer {
  border-top: 0;
}
.panel-group .panel-footer + .panel-collapse .panel-body {
  border-bottom: 1px solid #ddd;
}
.panel-default {
  border-color: #ddd;
}
.panel-default > .panel-heading {
  color: #333333;
  background-color: #f5f5f5;
  border-color: #ddd;
}
.panel-default > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #ddd;
}
.panel-default > .panel-heading .badge {
  color: #f5f5f5;
  background-color: #333333;
}
.panel-default > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #ddd;
}
.panel-primary {
  border-color: #337ab7;
}
.panel-primary > .panel-heading {
  color: #fff;
  background-color: #337ab7;
  border-color: #337ab7;
}
.panel-primary > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #337ab7;
}
.panel-primary > .panel-heading .badge {
  color: #337ab7;
  background-color: #fff;
}
.panel-primary > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #337ab7;
}
.panel-success {
  border-color: #d6e9c6;
}
.panel-success > .panel-heading {
  color: #3c763d;
  background-color: #dff0d8;
  border-color: #d6e9c6;
}
.panel-success > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #d6e9c6;
}
.panel-success > .panel-heading .badge {
  color: #dff0d8;
  background-color: #3c763d;
}
.panel-success > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #d6e9c6;
}
.panel-info {
  border-color: #bce8f1;
}
.panel-info > .panel-heading {
  color: #31708f;
  background-color: #d9edf7;
  border-color: #bce8f1;
}
.panel-info > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #bce8f1;
}
.panel-info > .panel-heading .badge {
  color: #d9edf7;
  background-color: #31708f;
}
.panel-info > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #bce8f1;
}
.panel-warning {
  border-color: #faebcc;
}
.panel-warning > .panel-heading {
  color: #8a6d3b;
  background-color: #fcf8e3;
  border-color: #faebcc;
}
.panel-warning > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #faebcc;
}
.panel-warning > .panel-heading .badge {
  color: #fcf8e3;
  background-color: #8a6d3b;
}
.panel-warning > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #faebcc;
}
.panel-danger {
  border-color: #ebccd1;
}
.panel-danger > .panel-heading {
  color: #a94442;
  background-color: #f2dede;
  border-color: #ebccd1;
}
.panel-danger > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #ebccd1;
}
.panel-danger > .panel-heading .badge {
  color: #f2dede;
  background-color: #a94442;
}
.panel-danger > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #ebccd1;
}
.embed-responsive {
  position: relative;
  display: block;
  height: 0;
  padding: 0;
  overflow: hidden;
}
.embed-responsive .embed-responsive-item,
.embed-responsive iframe,
.embed-responsive embed,
.embed-responsive object,
.embed-responsive video {
  position: absolute;
  top: 0;
  left: 0;
  bottom: 0;
  height: 100%;
  width: 100%;
  border: 0;
}
.embed-responsive-16by9 {
  padding-bottom: 56.25%;
}
.embed-responsive-4by3 {
  padding-bottom: 75%;
}
.well {
  min-height: 20px;
  padding: 19px;
  margin-bottom: 20px;
  background-color: #f5f5f5;
  border: 1px solid #e3e3e3;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.05);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.05);
}
.well blockquote {
  border-color: #ddd;
  border-color: rgba(0, 0, 0, 0.15);
}
.well-lg {
  padding: 24px;
  border-radius: 3px;
}
.well-sm {
  padding: 9px;
  border-radius: 1px;
}
.close {
  float: right;
  font-size: 19.5px;
  font-weight: bold;
  line-height: 1;
  color: #000;
  text-shadow: 0 1px 0 #fff;
  opacity: 0.2;
  filter: alpha(opacity=20);
}
.close:hover,
.close:focus {
  color: #000;
  text-decoration: none;
  cursor: pointer;
  opacity: 0.5;
  filter: alpha(opacity=50);
}
button.close {
  padding: 0;
  cursor: pointer;
  background: transparent;
  border: 0;
  -webkit-appearance: none;
}
.modal-open {
  overflow: hidden;
}
.modal {
  display: none;
  overflow: hidden;
  position: fixed;
  top: 0;
  right: 0;
  bottom: 0;
  left: 0;
  z-index: 1050;
  -webkit-overflow-scrolling: touch;
  outline: 0;
}
.modal.fade .modal-dialog {
  -webkit-transform: translate(0, -25%);
  -ms-transform: translate(0, -25%);
  -o-transform: translate(0, -25%);
  transform: translate(0, -25%);
  -webkit-transition: -webkit-transform 0.3s ease-out;
  -moz-transition: -moz-transform 0.3s ease-out;
  -o-transition: -o-transform 0.3s ease-out;
  transition: transform 0.3s ease-out;
}
.modal.in .modal-dialog {
  -webkit-transform: translate(0, 0);
  -ms-transform: translate(0, 0);
  -o-transform: translate(0, 0);
  transform: translate(0, 0);
}
.modal-open .modal {
  overflow-x: hidden;
  overflow-y: auto;
}
.modal-dialog {
  position: relative;
  width: auto;
  margin: 10px;
}
.modal-content {
  position: relative;
  background-color: #fff;
  border: 1px solid #999;
  border: 1px solid rgba(0, 0, 0, 0.2);
  border-radius: 3px;
  -webkit-box-shadow: 0 3px 9px rgba(0, 0, 0, 0.5);
  box-shadow: 0 3px 9px rgba(0, 0, 0, 0.5);
  background-clip: padding-box;
  outline: 0;
}
.modal-backdrop {
  position: fixed;
  top: 0;
  right: 0;
  bottom: 0;
  left: 0;
  z-index: 1040;
  background-color: #000;
}
.modal-backdrop.fade {
  opacity: 0;
  filter: alpha(opacity=0);
}
.modal-backdrop.in {
  opacity: 0.5;
  filter: alpha(opacity=50);
}
.modal-header {
  padding: 15px;
  border-bottom: 1px solid #e5e5e5;
}
.modal-header .close {
  margin-top: -2px;
}
.modal-title {
  margin: 0;
  line-height: 1.42857143;
}
.modal-body {
  position: relative;
  padding: 15px;
}
.modal-footer {
  padding: 15px;
  text-align: right;
  border-top: 1px solid #e5e5e5;
}
.modal-footer .btn + .btn {
  margin-left: 5px;
  margin-bottom: 0;
}
.modal-footer .btn-group .btn + .btn {
  margin-left: -1px;
}
.modal-footer .btn-block + .btn-block {
  margin-left: 0;
}
.modal-scrollbar-measure {
  position: absolute;
  top: -9999px;
  width: 50px;
  height: 50px;
  overflow: scroll;
}
@media (min-width: 768px) {
  .modal-dialog {
    width: 600px;
    margin: 30px auto;
  }
  .modal-content {
    -webkit-box-shadow: 0 5px 15px rgba(0, 0, 0, 0.5);
    box-shadow: 0 5px 15px rgba(0, 0, 0, 0.5);
  }
  .modal-sm {
    width: 300px;
  }
}
@media (min-width: 992px) {
  .modal-lg {
    width: 900px;
  }
}
.tooltip {
  position: absolute;
  z-index: 1070;
  display: block;
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
  font-style: normal;
  font-weight: normal;
  letter-spacing: normal;
  line-break: auto;
  line-height: 1.42857143;
  text-align: left;
  text-align: start;
  text-decoration: none;
  text-shadow: none;
  text-transform: none;
  white-space: normal;
  word-break: normal;
  word-spacing: normal;
  word-wrap: normal;
  font-size: 12px;
  opacity: 0;
  filter: alpha(opacity=0);
}
.tooltip.in {
  opacity: 0.9;
  filter: alpha(opacity=90);
}
.tooltip.top {
  margin-top: -3px;
  padding: 5px 0;
}
.tooltip.right {
  margin-left: 3px;
  padding: 0 5px;
}
.tooltip.bottom {
  margin-top: 3px;
  padding: 5px 0;
}
.tooltip.left {
  margin-left: -3px;
  padding: 0 5px;
}
.tooltip-inner {
  max-width: 200px;
  padding: 3px 8px;
  color: #fff;
  text-align: center;
  background-color: #000;
  border-radius: 2px;
}
.tooltip-arrow {
  position: absolute;
  width: 0;
  height: 0;
  border-color: transparent;
  border-style: solid;
}
.tooltip.top .tooltip-arrow {
  bottom: 0;
  left: 50%;
  margin-left: -5px;
  border-width: 5px 5px 0;
  border-top-color: #000;
}
.tooltip.top-left .tooltip-arrow {
  bottom: 0;
  right: 5px;
  margin-bottom: -5px;
  border-width: 5px 5px 0;
  border-top-color: #000;
}
.tooltip.top-right .tooltip-arrow {
  bottom: 0;
  left: 5px;
  margin-bottom: -5px;
  border-width: 5px 5px 0;
  border-top-color: #000;
}
.tooltip.right .tooltip-arrow {
  top: 50%;
  left: 0;
  margin-top: -5px;
  border-width: 5px 5px 5px 0;
  border-right-color: #000;
}
.tooltip.left .tooltip-arrow {
  top: 50%;
  right: 0;
  margin-top: -5px;
  border-width: 5px 0 5px 5px;
  border-left-color: #000;
}
.tooltip.bottom .tooltip-arrow {
  top: 0;
  left: 50%;
  margin-left: -5px;
  border-width: 0 5px 5px;
  border-bottom-color: #000;
}
.tooltip.bottom-left .tooltip-arrow {
  top: 0;
  right: 5px;
  margin-top: -5px;
  border-width: 0 5px 5px;
  border-bottom-color: #000;
}
.tooltip.bottom-right .tooltip-arrow {
  top: 0;
  left: 5px;
  margin-top: -5px;
  border-width: 0 5px 5px;
  border-bottom-color: #000;
}
.popover {
  position: absolute;
  top: 0;
  left: 0;
  z-index: 1060;
  display: none;
  max-width: 276px;
  padding: 1px;
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
  font-style: normal;
  font-weight: normal;
  letter-spacing: normal;
  line-break: auto;
  line-height: 1.42857143;
  text-align: left;
  text-align: start;
  text-decoration: none;
  text-shadow: none;
  text-transform: none;
  white-space: normal;
  word-break: normal;
  word-spacing: normal;
  word-wrap: normal;
  font-size: 13px;
  background-color: #fff;
  background-clip: padding-box;
  border: 1px solid #ccc;
  border: 1px solid rgba(0, 0, 0, 0.2);
  border-radius: 3px;
  -webkit-box-shadow: 0 5px 10px rgba(0, 0, 0, 0.2);
  box-shadow: 0 5px 10px rgba(0, 0, 0, 0.2);
}
.popover.top {
  margin-top: -10px;
}
.popover.right {
  margin-left: 10px;
}
.popover.bottom {
  margin-top: 10px;
}
.popover.left {
  margin-left: -10px;
}
.popover-title {
  margin: 0;
  padding: 8px 14px;
  font-size: 13px;
  background-color: #f7f7f7;
  border-bottom: 1px solid #ebebeb;
  border-radius: 2px 2px 0 0;
}
.popover-content {
  padding: 9px 14px;
}
.popover > .arrow,
.popover > .arrow:after {
  position: absolute;
  display: block;
  width: 0;
  height: 0;
  border-color: transparent;
  border-style: solid;
}
.popover > .arrow {
  border-width: 11px;
}
.popover > .arrow:after {
  border-width: 10px;
  content: "";
}
.popover.top > .arrow {
  left: 50%;
  margin-left: -11px;
  border-bottom-width: 0;
  border-top-color: #999999;
  border-top-color: rgba(0, 0, 0, 0.25);
  bottom: -11px;
}
.popover.top > .arrow:after {
  content: " ";
  bottom: 1px;
  margin-left: -10px;
  border-bottom-width: 0;
  border-top-color: #fff;
}
.popover.right > .arrow {
  top: 50%;
  left: -11px;
  margin-top: -11px;
  border-left-width: 0;
  border-right-color: #999999;
  border-right-color: rgba(0, 0, 0, 0.25);
}
.popover.right > .arrow:after {
  content: " ";
  left: 1px;
  bottom: -10px;
  border-left-width: 0;
  border-right-color: #fff;
}
.popover.bottom > .arrow {
  left: 50%;
  margin-left: -11px;
  border-top-width: 0;
  border-bottom-color: #999999;
  border-bottom-color: rgba(0, 0, 0, 0.25);
  top: -11px;
}
.popover.bottom > .arrow:after {
  content: " ";
  top: 1px;
  margin-left: -10px;
  border-top-width: 0;
  border-bottom-color: #fff;
}
.popover.left > .arrow {
  top: 50%;
  right: -11px;
  margin-top: -11px;
  border-right-width: 0;
  border-left-color: #999999;
  border-left-color: rgba(0, 0, 0, 0.25);
}
.popover.left > .arrow:after {
  content: " ";
  right: 1px;
  border-right-width: 0;
  border-left-color: #fff;
  bottom: -10px;
}
.carousel {
  position: relative;
}
.carousel-inner {
  position: relative;
  overflow: hidden;
  width: 100%;
}
.carousel-inner > .item {
  display: none;
  position: relative;
  -webkit-transition: 0.6s ease-in-out left;
  -o-transition: 0.6s ease-in-out left;
  transition: 0.6s ease-in-out left;
}
.carousel-inner > .item > img,
.carousel-inner > .item > a > img {
  line-height: 1;
}
@media all and (transform-3d), (-webkit-transform-3d) {
  .carousel-inner > .item {
    -webkit-transition: -webkit-transform 0.6s ease-in-out;
    -moz-transition: -moz-transform 0.6s ease-in-out;
    -o-transition: -o-transform 0.6s ease-in-out;
    transition: transform 0.6s ease-in-out;
    -webkit-backface-visibility: hidden;
    -moz-backface-visibility: hidden;
    backface-visibility: hidden;
    -webkit-perspective: 1000px;
    -moz-perspective: 1000px;
    perspective: 1000px;
  }
  .carousel-inner > .item.next,
  .carousel-inner > .item.active.right {
    -webkit-transform: translate3d(100%, 0, 0);
    transform: translate3d(100%, 0, 0);
    left: 0;
  }
  .carousel-inner > .item.prev,
  .carousel-inner > .item.active.left {
    -webkit-transform: translate3d(-100%, 0, 0);
    transform: translate3d(-100%, 0, 0);
    left: 0;
  }
  .carousel-inner > .item.next.left,
  .carousel-inner > .item.prev.right,
  .carousel-inner > .item.active {
    -webkit-transform: translate3d(0, 0, 0);
    transform: translate3d(0, 0, 0);
    left: 0;
  }
}
.carousel-inner > .active,
.carousel-inner > .next,
.carousel-inner > .prev {
  display: block;
}
.carousel-inner > .active {
  left: 0;
}
.carousel-inner > .next,
.carousel-inner > .prev {
  position: absolute;
  top: 0;
  width: 100%;
}
.carousel-inner > .next {
  left: 100%;
}
.carousel-inner > .prev {
  left: -100%;
}
.carousel-inner > .next.left,
.carousel-inner > .prev.right {
  left: 0;
}
.carousel-inner > .active.left {
  left: -100%;
}
.carousel-inner > .active.right {
  left: 100%;
}
.carousel-control {
  position: absolute;
  top: 0;
  left: 0;
  bottom: 0;
  width: 15%;
  opacity: 0.5;
  filter: alpha(opacity=50);
  font-size: 20px;
  color: #fff;
  text-align: center;
  text-shadow: 0 1px 2px rgba(0, 0, 0, 0.6);
  background-color: rgba(0, 0, 0, 0);
}
.carousel-control.left {
  background-image: -webkit-linear-gradient(left, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
  background-image: -o-linear-gradient(left, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
  background-image: linear-gradient(to right, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
  background-repeat: repeat-x;
  filter: progid:DXImageTransform.Microsoft.gradient(startColorstr='#80000000', endColorstr='#00000000', GradientType=1);
}
.carousel-control.right {
  left: auto;
  right: 0;
  background-image: -webkit-linear-gradient(left, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
  background-image: -o-linear-gradient(left, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
  background-image: linear-gradient(to right, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
  background-repeat: repeat-x;
  filter: progid:DXImageTransform.Microsoft.gradient(startColorstr='#00000000', endColorstr='#80000000', GradientType=1);
}
.carousel-control:hover,
.carousel-control:focus {
  outline: 0;
  color: #fff;
  text-decoration: none;
  opacity: 0.9;
  filter: alpha(opacity=90);
}
.carousel-control .icon-prev,
.carousel-control .icon-next,
.carousel-control .glyphicon-chevron-left,
.carousel-control .glyphicon-chevron-right {
  position: absolute;
  top: 50%;
  margin-top: -10px;
  z-index: 5;
  display: inline-block;
}
.carousel-control .icon-prev,
.carousel-control .glyphicon-chevron-left {
  left: 50%;
  margin-left: -10px;
}
.carousel-control .icon-next,
.carousel-control .glyphicon-chevron-right {
  right: 50%;
  margin-right: -10px;
}
.carousel-control .icon-prev,
.carousel-control .icon-next {
  width: 20px;
  height: 20px;
  line-height: 1;
  font-family: serif;
}
.carousel-control .icon-prev:before {
  content: '\2039';
}
.carousel-control .icon-next:before {
  content: '\203a';
}
.carousel-indicators {
  position: absolute;
  bottom: 10px;
  left: 50%;
  z-index: 15;
  width: 60%;
  margin-left: -30%;
  padding-left: 0;
  list-style: none;
  text-align: center;
}
.carousel-indicators li {
  display: inline-block;
  width: 10px;
  height: 10px;
  margin: 1px;
  text-indent: -999px;
  border: 1px solid #fff;
  border-radius: 10px;
  cursor: pointer;
  background-color: #000 \9;
  background-color: rgba(0, 0, 0, 0);
}
.carousel-indicators .active {
  margin: 0;
  width: 12px;
  height: 12px;
  background-color: #fff;
}
.carousel-caption {
  position: absolute;
  left: 15%;
  right: 15%;
  bottom: 20px;
  z-index: 10;
  padding-top: 20px;
  padding-bottom: 20px;
  color: #fff;
  text-align: center;
  text-shadow: 0 1px 2px rgba(0, 0, 0, 0.6);
}
.carousel-caption .btn {
  text-shadow: none;
}
@media screen and (min-width: 768px) {
  .carousel-control .glyphicon-chevron-left,
  .carousel-control .glyphicon-chevron-right,
  .carousel-control .icon-prev,
  .carousel-control .icon-next {
    width: 30px;
    height: 30px;
    margin-top: -10px;
    font-size: 30px;
  }
  .carousel-control .glyphicon-chevron-left,
  .carousel-control .icon-prev {
    margin-left: -10px;
  }
  .carousel-control .glyphicon-chevron-right,
  .carousel-control .icon-next {
    margin-right: -10px;
  }
  .carousel-caption {
    left: 20%;
    right: 20%;
    padding-bottom: 30px;
  }
  .carousel-indicators {
    bottom: 20px;
  }
}
.clearfix:before,
.clearfix:after,
.dl-horizontal dd:before,
.dl-horizontal dd:after,
.container:before,
.container:after,
.container-fluid:before,
.container-fluid:after,
.row:before,
.row:after,
.form-horizontal .form-group:before,
.form-horizontal .form-group:after,
.btn-toolbar:before,
.btn-toolbar:after,
.btn-group-vertical > .btn-group:before,
.btn-group-vertical > .btn-group:after,
.nav:before,
.nav:after,
.navbar:before,
.navbar:after,
.navbar-header:before,
.navbar-header:after,
.navbar-collapse:before,
.navbar-collapse:after,
.pager:before,
.pager:after,
.panel-body:before,
.panel-body:after,
.modal-header:before,
.modal-header:after,
.modal-footer:before,
.modal-footer:after,
.item_buttons:before,
.item_buttons:after {
  content: " ";
  display: table;
}
.clearfix:after,
.dl-horizontal dd:after,
.container:after,
.container-fluid:after,
.row:after,
.form-horizontal .form-group:after,
.btn-toolbar:after,
.btn-group-vertical > .btn-group:after,
.nav:after,
.navbar:after,
.navbar-header:after,
.navbar-collapse:after,
.pager:after,
.panel-body:after,
.modal-header:after,
.modal-footer:after,
.item_buttons:after {
  clear: both;
}
.center-block {
  display: block;
  margin-left: auto;
  margin-right: auto;
}
.pull-right {
  float: right !important;
}
.pull-left {
  float: left !important;
}
.hide {
  display: none !important;
}
.show {
  display: block !important;
}
.invisible {
  visibility: hidden;
}
.text-hide {
  font: 0/0 a;
  color: transparent;
  text-shadow: none;
  background-color: transparent;
  border: 0;
}
.hidden {
  display: none !important;
}
.affix {
  position: fixed;
}
@-ms-viewport {
  width: device-width;
}
.visible-xs,
.visible-sm,
.visible-md,
.visible-lg {
  display: none !important;
}
.visible-xs-block,
.visible-xs-inline,
.visible-xs-inline-block,
.visible-sm-block,
.visible-sm-inline,
.visible-sm-inline-block,
.visible-md-block,
.visible-md-inline,
.visible-md-inline-block,
.visible-lg-block,
.visible-lg-inline,
.visible-lg-inline-block {
  display: none !important;
}
@media (max-width: 767px) {
  .visible-xs {
    display: block !important;
  }
  table.visible-xs {
    display: table !important;
  }
  tr.visible-xs {
    display: table-row !important;
  }
  th.visible-xs,
  td.visible-xs {
    display: table-cell !important;
  }
}
@media (max-width: 767px) {
  .visible-xs-block {
    display: block !important;
  }
}
@media (max-width: 767px) {
  .visible-xs-inline {
    display: inline !important;
  }
}
@media (max-width: 767px) {
  .visible-xs-inline-block {
    display: inline-block !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm {
    display: block !important;
  }
  table.visible-sm {
    display: table !important;
  }
  tr.visible-sm {
    display: table-row !important;
  }
  th.visible-sm,
  td.visible-sm {
    display: table-cell !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm-block {
    display: block !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm-inline {
    display: inline !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm-inline-block {
    display: inline-block !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md {
    display: block !important;
  }
  table.visible-md {
    display: table !important;
  }
  tr.visible-md {
    display: table-row !important;
  }
  th.visible-md,
  td.visible-md {
    display: table-cell !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md-block {
    display: block !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md-inline {
    display: inline !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md-inline-block {
    display: inline-block !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg {
    display: block !important;
  }
  table.visible-lg {
    display: table !important;
  }
  tr.visible-lg {
    display: table-row !important;
  }
  th.visible-lg,
  td.visible-lg {
    display: table-cell !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg-block {
    display: block !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg-inline {
    display: inline !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg-inline-block {
    display: inline-block !important;
  }
}
@media (max-width: 767px) {
  .hidden-xs {
    display: none !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .hidden-sm {
    display: none !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .hidden-md {
    display: none !important;
  }
}
@media (min-width: 1200px) {
  .hidden-lg {
    display: none !important;
  }
}
.visible-print {
  display: none !important;
}
@media print {
  .visible-print {
    display: block !important;
  }
  table.visible-print {
    display: table !important;
  }
  tr.visible-print {
    display: table-row !important;
  }
  th.visible-print,
  td.visible-print {
    display: table-cell !important;
  }
}
.visible-print-block {
  display: none !important;
}
@media print {
  .visible-print-block {
    display: block !important;
  }
}
.visible-print-inline {
  display: none !important;
}
@media print {
  .visible-print-inline {
    display: inline !important;
  }
}
.visible-print-inline-block {
  display: none !important;
}
@media print {
  .visible-print-inline-block {
    display: inline-block !important;
  }
}
@media print {
  .hidden-print {
    display: none !important;
  }
}
/*!
*
* Font Awesome
*
*/
/*!
 *  Font Awesome 4.2.0 by @davegandy - http://fontawesome.io - @fontawesome
 *  License - http://fontawesome.io/license (Font: SIL OFL 1.1, CSS: MIT License)
 */
/* FONT PATH
 * -------------------------- */
@font-face {
  font-family: 'FontAwesome';
  src: url('../components/font-awesome/fonts/fontawesome-webfont.eot?v=4.2.0');
  src: url('../components/font-awesome/fonts/fontawesome-webfont.eot?#iefix&v=4.2.0') format('embedded-opentype'), url('../components/font-awesome/fonts/fontawesome-webfont.woff?v=4.2.0') format('woff'), url('../components/font-awesome/fonts/fontawesome-webfont.ttf?v=4.2.0') format('truetype'), url('../components/font-awesome/fonts/fontawesome-webfont.svg?v=4.2.0#fontawesomeregular') format('svg');
  font-weight: normal;
  font-style: normal;
}
.fa {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
}
/* makes the font 33% larger relative to the icon container */
.fa-lg {
  font-size: 1.33333333em;
  line-height: 0.75em;
  vertical-align: -15%;
}
.fa-2x {
  font-size: 2em;
}
.fa-3x {
  font-size: 3em;
}
.fa-4x {
  font-size: 4em;
}
.fa-5x {
  font-size: 5em;
}
.fa-fw {
  width: 1.28571429em;
  text-align: center;
}
.fa-ul {
  padding-left: 0;
  margin-left: 2.14285714em;
  list-style-type: none;
}
.fa-ul > li {
  position: relative;
}
.fa-li {
  position: absolute;
  left: -2.14285714em;
  width: 2.14285714em;
  top: 0.14285714em;
  text-align: center;
}
.fa-li.fa-lg {
  left: -1.85714286em;
}
.fa-border {
  padding: .2em .25em .15em;
  border: solid 0.08em #eee;
  border-radius: .1em;
}
.pull-right {
  float: right;
}
.pull-left {
  float: left;
}
.fa.pull-left {
  margin-right: .3em;
}
.fa.pull-right {
  margin-left: .3em;
}
.fa-spin {
  -webkit-animation: fa-spin 2s infinite linear;
  animation: fa-spin 2s infinite linear;
}
@-webkit-keyframes fa-spin {
  0% {
    -webkit-transform: rotate(0deg);
    transform: rotate(0deg);
  }
  100% {
    -webkit-transform: rotate(359deg);
    transform: rotate(359deg);
  }
}
@keyframes fa-spin {
  0% {
    -webkit-transform: rotate(0deg);
    transform: rotate(0deg);
  }
  100% {
    -webkit-transform: rotate(359deg);
    transform: rotate(359deg);
  }
}
.fa-rotate-90 {
  filter: progid:DXImageTransform.Microsoft.BasicImage(rotation=1);
  -webkit-transform: rotate(90deg);
  -ms-transform: rotate(90deg);
  transform: rotate(90deg);
}
.fa-rotate-180 {
  filter: progid:DXImageTransform.Microsoft.BasicImage(rotation=2);
  -webkit-transform: rotate(180deg);
  -ms-transform: rotate(180deg);
  transform: rotate(180deg);
}
.fa-rotate-270 {
  filter: progid:DXImageTransform.Microsoft.BasicImage(rotation=3);
  -webkit-transform: rotate(270deg);
  -ms-transform: rotate(270deg);
  transform: rotate(270deg);
}
.fa-flip-horizontal {
  filter: progid:DXImageTransform.Microsoft.BasicImage(rotation=0, mirror=1);
  -webkit-transform: scale(-1, 1);
  -ms-transform: scale(-1, 1);
  transform: scale(-1, 1);
}
.fa-flip-vertical {
  filter: progid:DXImageTransform.Microsoft.BasicImage(rotation=2, mirror=1);
  -webkit-transform: scale(1, -1);
  -ms-transform: scale(1, -1);
  transform: scale(1, -1);
}
:root .fa-rotate-90,
:root .fa-rotate-180,
:root .fa-rotate-270,
:root .fa-flip-horizontal,
:root .fa-flip-vertical {
  filter: none;
}
.fa-stack {
  position: relative;
  display: inline-block;
  width: 2em;
  height: 2em;
  line-height: 2em;
  vertical-align: middle;
}
.fa-stack-1x,
.fa-stack-2x {
  position: absolute;
  left: 0;
  width: 100%;
  text-align: center;
}
.fa-stack-1x {
  line-height: inherit;
}
.fa-stack-2x {
  font-size: 2em;
}
.fa-inverse {
  color: #fff;
}
/* Font Awesome uses the Unicode Private Use Area (PUA) to ensure screen
   readers do not read off random characters that represent icons */
.fa-glass:before {
  content: "\f000";
}
.fa-music:before {
  content: "\f001";
}
.fa-search:before {
  content: "\f002";
}
.fa-envelope-o:before {
  content: "\f003";
}
.fa-heart:before {
  content: "\f004";
}
.fa-star:before {
  content: "\f005";
}
.fa-star-o:before {
  content: "\f006";
}
.fa-user:before {
  content: "\f007";
}
.fa-film:before {
  content: "\f008";
}
.fa-th-large:before {
  content: "\f009";
}
.fa-th:before {
  content: "\f00a";
}
.fa-th-list:before {
  content: "\f00b";
}
.fa-check:before {
  content: "\f00c";
}
.fa-remove:before,
.fa-close:before,
.fa-times:before {
  content: "\f00d";
}
.fa-search-plus:before {
  content: "\f00e";
}
.fa-search-minus:before {
  content: "\f010";
}
.fa-power-off:before {
  content: "\f011";
}
.fa-signal:before {
  content: "\f012";
}
.fa-gear:before,
.fa-cog:before {
  content: "\f013";
}
.fa-trash-o:before {
  content: "\f014";
}
.fa-home:before {
  content: "\f015";
}
.fa-file-o:before {
  content: "\f016";
}
.fa-clock-o:before {
  content: "\f017";
}
.fa-road:before {
  content: "\f018";
}
.fa-download:before {
  content: "\f019";
}
.fa-arrow-circle-o-down:before {
  content: "\f01a";
}
.fa-arrow-circle-o-up:before {
  content: "\f01b";
}
.fa-inbox:before {
  content: "\f01c";
}
.fa-play-circle-o:before {
  content: "\f01d";
}
.fa-rotate-right:before,
.fa-repeat:before {
  content: "\f01e";
}
.fa-refresh:before {
  content: "\f021";
}
.fa-list-alt:before {
  content: "\f022";
}
.fa-lock:before {
  content: "\f023";
}
.fa-flag:before {
  content: "\f024";
}
.fa-headphones:before {
  content: "\f025";
}
.fa-volume-off:before {
  content: "\f026";
}
.fa-volume-down:before {
  content: "\f027";
}
.fa-volume-up:before {
  content: "\f028";
}
.fa-qrcode:before {
  content: "\f029";
}
.fa-barcode:before {
  content: "\f02a";
}
.fa-tag:before {
  content: "\f02b";
}
.fa-tags:before {
  content: "\f02c";
}
.fa-book:before {
  content: "\f02d";
}
.fa-bookmark:before {
  content: "\f02e";
}
.fa-print:before {
  content: "\f02f";
}
.fa-camera:before {
  content: "\f030";
}
.fa-font:before {
  content: "\f031";
}
.fa-bold:before {
  content: "\f032";
}
.fa-italic:before {
  content: "\f033";
}
.fa-text-height:before {
  content: "\f034";
}
.fa-text-width:before {
  content: "\f035";
}
.fa-align-left:before {
  content: "\f036";
}
.fa-align-center:before {
  content: "\f037";
}
.fa-align-right:before {
  content: "\f038";
}
.fa-align-justify:before {
  content: "\f039";
}
.fa-list:before {
  content: "\f03a";
}
.fa-dedent:before,
.fa-outdent:before {
  content: "\f03b";
}
.fa-indent:before {
  content: "\f03c";
}
.fa-video-camera:before {
  content: "\f03d";
}
.fa-photo:before,
.fa-image:before,
.fa-picture-o:before {
  content: "\f03e";
}
.fa-pencil:before {
  content: "\f040";
}
.fa-map-marker:before {
  content: "\f041";
}
.fa-adjust:before {
  content: "\f042";
}
.fa-tint:before {
  content: "\f043";
}
.fa-edit:before,
.fa-pencil-square-o:before {
  content: "\f044";
}
.fa-share-square-o:before {
  content: "\f045";
}
.fa-check-square-o:before {
  content: "\f046";
}
.fa-arrows:before {
  content: "\f047";
}
.fa-step-backward:before {
  content: "\f048";
}
.fa-fast-backward:before {
  content: "\f049";
}
.fa-backward:before {
  content: "\f04a";
}
.fa-play:before {
  content: "\f04b";
}
.fa-pause:before {
  content: "\f04c";
}
.fa-stop:before {
  content: "\f04d";
}
.fa-forward:before {
  content: "\f04e";
}
.fa-fast-forward:before {
  content: "\f050";
}
.fa-step-forward:before {
  content: "\f051";
}
.fa-eject:before {
  content: "\f052";
}
.fa-chevron-left:before {
  content: "\f053";
}
.fa-chevron-right:before {
  content: "\f054";
}
.fa-plus-circle:before {
  content: "\f055";
}
.fa-minus-circle:before {
  content: "\f056";
}
.fa-times-circle:before {
  content: "\f057";
}
.fa-check-circle:before {
  content: "\f058";
}
.fa-question-circle:before {
  content: "\f059";
}
.fa-info-circle:before {
  content: "\f05a";
}
.fa-crosshairs:before {
  content: "\f05b";
}
.fa-times-circle-o:before {
  content: "\f05c";
}
.fa-check-circle-o:before {
  content: "\f05d";
}
.fa-ban:before {
  content: "\f05e";
}
.fa-arrow-left:before {
  content: "\f060";
}
.fa-arrow-right:before {
  content: "\f061";
}
.fa-arrow-up:before {
  content: "\f062";
}
.fa-arrow-down:before {
  content: "\f063";
}
.fa-mail-forward:before,
.fa-share:before {
  content: "\f064";
}
.fa-expand:before {
  content: "\f065";
}
.fa-compress:before {
  content: "\f066";
}
.fa-plus:before {
  content: "\f067";
}
.fa-minus:before {
  content: "\f068";
}
.fa-asterisk:before {
  content: "\f069";
}
.fa-exclamation-circle:before {
  content: "\f06a";
}
.fa-gift:before {
  content: "\f06b";
}
.fa-leaf:before {
  content: "\f06c";
}
.fa-fire:before {
  content: "\f06d";
}
.fa-eye:before {
  content: "\f06e";
}
.fa-eye-slash:before {
  content: "\f070";
}
.fa-warning:before,
.fa-exclamation-triangle:before {
  content: "\f071";
}
.fa-plane:before {
  content: "\f072";
}
.fa-calendar:before {
  content: "\f073";
}
.fa-random:before {
  content: "\f074";
}
.fa-comment:before {
  content: "\f075";
}
.fa-magnet:before {
  content: "\f076";
}
.fa-chevron-up:before {
  content: "\f077";
}
.fa-chevron-down:before {
  content: "\f078";
}
.fa-retweet:before {
  content: "\f079";
}
.fa-shopping-cart:before {
  content: "\f07a";
}
.fa-folder:before {
  content: "\f07b";
}
.fa-folder-open:before {
  content: "\f07c";
}
.fa-arrows-v:before {
  content: "\f07d";
}
.fa-arrows-h:before {
  content: "\f07e";
}
.fa-bar-chart-o:before,
.fa-bar-chart:before {
  content: "\f080";
}
.fa-twitter-square:before {
  content: "\f081";
}
.fa-facebook-square:before {
  content: "\f082";
}
.fa-camera-retro:before {
  content: "\f083";
}
.fa-key:before {
  content: "\f084";
}
.fa-gears:before,
.fa-cogs:before {
  content: "\f085";
}
.fa-comments:before {
  content: "\f086";
}
.fa-thumbs-o-up:before {
  content: "\f087";
}
.fa-thumbs-o-down:before {
  content: "\f088";
}
.fa-star-half:before {
  content: "\f089";
}
.fa-heart-o:before {
  content: "\f08a";
}
.fa-sign-out:before {
  content: "\f08b";
}
.fa-linkedin-square:before {
  content: "\f08c";
}
.fa-thumb-tack:before {
  content: "\f08d";
}
.fa-external-link:before {
  content: "\f08e";
}
.fa-sign-in:before {
  content: "\f090";
}
.fa-trophy:before {
  content: "\f091";
}
.fa-github-square:before {
  content: "\f092";
}
.fa-upload:before {
  content: "\f093";
}
.fa-lemon-o:before {
  content: "\f094";
}
.fa-phone:before {
  content: "\f095";
}
.fa-square-o:before {
  content: "\f096";
}
.fa-bookmark-o:before {
  content: "\f097";
}
.fa-phone-square:before {
  content: "\f098";
}
.fa-twitter:before {
  content: "\f099";
}
.fa-facebook:before {
  content: "\f09a";
}
.fa-github:before {
  content: "\f09b";
}
.fa-unlock:before {
  content: "\f09c";
}
.fa-credit-card:before {
  content: "\f09d";
}
.fa-rss:before {
  content: "\f09e";
}
.fa-hdd-o:before {
  content: "\f0a0";
}
.fa-bullhorn:before {
  content: "\f0a1";
}
.fa-bell:before {
  content: "\f0f3";
}
.fa-certificate:before {
  content: "\f0a3";
}
.fa-hand-o-right:before {
  content: "\f0a4";
}
.fa-hand-o-left:before {
  content: "\f0a5";
}
.fa-hand-o-up:before {
  content: "\f0a6";
}
.fa-hand-o-down:before {
  content: "\f0a7";
}
.fa-arrow-circle-left:before {
  content: "\f0a8";
}
.fa-arrow-circle-right:before {
  content: "\f0a9";
}
.fa-arrow-circle-up:before {
  content: "\f0aa";
}
.fa-arrow-circle-down:before {
  content: "\f0ab";
}
.fa-globe:before {
  content: "\f0ac";
}
.fa-wrench:before {
  content: "\f0ad";
}
.fa-tasks:before {
  content: "\f0ae";
}
.fa-filter:before {
  content: "\f0b0";
}
.fa-briefcase:before {
  content: "\f0b1";
}
.fa-arrows-alt:before {
  content: "\f0b2";
}
.fa-group:before,
.fa-users:before {
  content: "\f0c0";
}
.fa-chain:before,
.fa-link:before {
  content: "\f0c1";
}
.fa-cloud:before {
  content: "\f0c2";
}
.fa-flask:before {
  content: "\f0c3";
}
.fa-cut:before,
.fa-scissors:before {
  content: "\f0c4";
}
.fa-copy:before,
.fa-files-o:before {
  content: "\f0c5";
}
.fa-paperclip:before {
  content: "\f0c6";
}
.fa-save:before,
.fa-floppy-o:before {
  content: "\f0c7";
}
.fa-square:before {
  content: "\f0c8";
}
.fa-navicon:before,
.fa-reorder:before,
.fa-bars:before {
  content: "\f0c9";
}
.fa-list-ul:before {
  content: "\f0ca";
}
.fa-list-ol:before {
  content: "\f0cb";
}
.fa-strikethrough:before {
  content: "\f0cc";
}
.fa-underline:before {
  content: "\f0cd";
}
.fa-table:before {
  content: "\f0ce";
}
.fa-magic:before {
  content: "\f0d0";
}
.fa-truck:before {
  content: "\f0d1";
}
.fa-pinterest:before {
  content: "\f0d2";
}
.fa-pinterest-square:before {
  content: "\f0d3";
}
.fa-google-plus-square:before {
  content: "\f0d4";
}
.fa-google-plus:before {
  content: "\f0d5";
}
.fa-money:before {
  content: "\f0d6";
}
.fa-caret-down:before {
  content: "\f0d7";
}
.fa-caret-up:before {
  content: "\f0d8";
}
.fa-caret-left:before {
  content: "\f0d9";
}
.fa-caret-right:before {
  content: "\f0da";
}
.fa-columns:before {
  content: "\f0db";
}
.fa-unsorted:before,
.fa-sort:before {
  content: "\f0dc";
}
.fa-sort-down:before,
.fa-sort-desc:before {
  content: "\f0dd";
}
.fa-sort-up:before,
.fa-sort-asc:before {
  content: "\f0de";
}
.fa-envelope:before {
  content: "\f0e0";
}
.fa-linkedin:before {
  content: "\f0e1";
}
.fa-rotate-left:before,
.fa-undo:before {
  content: "\f0e2";
}
.fa-legal:before,
.fa-gavel:before {
  content: "\f0e3";
}
.fa-dashboard:before,
.fa-tachometer:before {
  content: "\f0e4";
}
.fa-comment-o:before {
  content: "\f0e5";
}
.fa-comments-o:before {
  content: "\f0e6";
}
.fa-flash:before,
.fa-bolt:before {
  content: "\f0e7";
}
.fa-sitemap:before {
  content: "\f0e8";
}
.fa-umbrella:before {
  content: "\f0e9";
}
.fa-paste:before,
.fa-clipboard:before {
  content: "\f0ea";
}
.fa-lightbulb-o:before {
  content: "\f0eb";
}
.fa-exchange:before {
  content: "\f0ec";
}
.fa-cloud-download:before {
  content: "\f0ed";
}
.fa-cloud-upload:before {
  content: "\f0ee";
}
.fa-user-md:before {
  content: "\f0f0";
}
.fa-stethoscope:before {
  content: "\f0f1";
}
.fa-suitcase:before {
  content: "\f0f2";
}
.fa-bell-o:before {
  content: "\f0a2";
}
.fa-coffee:before {
  content: "\f0f4";
}
.fa-cutlery:before {
  content: "\f0f5";
}
.fa-file-text-o:before {
  content: "\f0f6";
}
.fa-building-o:before {
  content: "\f0f7";
}
.fa-hospital-o:before {
  content: "\f0f8";
}
.fa-ambulance:before {
  content: "\f0f9";
}
.fa-medkit:before {
  content: "\f0fa";
}
.fa-fighter-jet:before {
  content: "\f0fb";
}
.fa-beer:before {
  content: "\f0fc";
}
.fa-h-square:before {
  content: "\f0fd";
}
.fa-plus-square:before {
  content: "\f0fe";
}
.fa-angle-double-left:before {
  content: "\f100";
}
.fa-angle-double-right:before {
  content: "\f101";
}
.fa-angle-double-up:before {
  content: "\f102";
}
.fa-angle-double-down:before {
  content: "\f103";
}
.fa-angle-left:before {
  content: "\f104";
}
.fa-angle-right:before {
  content: "\f105";
}
.fa-angle-up:before {
  content: "\f106";
}
.fa-angle-down:before {
  content: "\f107";
}
.fa-desktop:before {
  content: "\f108";
}
.fa-laptop:before {
  content: "\f109";
}
.fa-tablet:before {
  content: "\f10a";
}
.fa-mobile-phone:before,
.fa-mobile:before {
  content: "\f10b";
}
.fa-circle-o:before {
  content: "\f10c";
}
.fa-quote-left:before {
  content: "\f10d";
}
.fa-quote-right:before {
  content: "\f10e";
}
.fa-spinner:before {
  content: "\f110";
}
.fa-circle:before {
  content: "\f111";
}
.fa-mail-reply:before,
.fa-reply:before {
  content: "\f112";
}
.fa-github-alt:before {
  content: "\f113";
}
.fa-folder-o:before {
  content: "\f114";
}
.fa-folder-open-o:before {
  content: "\f115";
}
.fa-smile-o:before {
  content: "\f118";
}
.fa-frown-o:before {
  content: "\f119";
}
.fa-meh-o:before {
  content: "\f11a";
}
.fa-gamepad:before {
  content: "\f11b";
}
.fa-keyboard-o:before {
  content: "\f11c";
}
.fa-flag-o:before {
  content: "\f11d";
}
.fa-flag-checkered:before {
  content: "\f11e";
}
.fa-terminal:before {
  content: "\f120";
}
.fa-code:before {
  content: "\f121";
}
.fa-mail-reply-all:before,
.fa-reply-all:before {
  content: "\f122";
}
.fa-star-half-empty:before,
.fa-star-half-full:before,
.fa-star-half-o:before {
  content: "\f123";
}
.fa-location-arrow:before {
  content: "\f124";
}
.fa-crop:before {
  content: "\f125";
}
.fa-code-fork:before {
  content: "\f126";
}
.fa-unlink:before,
.fa-chain-broken:before {
  content: "\f127";
}
.fa-question:before {
  content: "\f128";
}
.fa-info:before {
  content: "\f129";
}
.fa-exclamation:before {
  content: "\f12a";
}
.fa-superscript:before {
  content: "\f12b";
}
.fa-subscript:before {
  content: "\f12c";
}
.fa-eraser:before {
  content: "\f12d";
}
.fa-puzzle-piece:before {
  content: "\f12e";
}
.fa-microphone:before {
  content: "\f130";
}
.fa-microphone-slash:before {
  content: "\f131";
}
.fa-shield:before {
  content: "\f132";
}
.fa-calendar-o:before {
  content: "\f133";
}
.fa-fire-extinguisher:before {
  content: "\f134";
}
.fa-rocket:before {
  content: "\f135";
}
.fa-maxcdn:before {
  content: "\f136";
}
.fa-chevron-circle-left:before {
  content: "\f137";
}
.fa-chevron-circle-right:before {
  content: "\f138";
}
.fa-chevron-circle-up:before {
  content: "\f139";
}
.fa-chevron-circle-down:before {
  content: "\f13a";
}
.fa-html5:before {
  content: "\f13b";
}
.fa-css3:before {
  content: "\f13c";
}
.fa-anchor:before {
  content: "\f13d";
}
.fa-unlock-alt:before {
  content: "\f13e";
}
.fa-bullseye:before {
  content: "\f140";
}
.fa-ellipsis-h:before {
  content: "\f141";
}
.fa-ellipsis-v:before {
  content: "\f142";
}
.fa-rss-square:before {
  content: "\f143";
}
.fa-play-circle:before {
  content: "\f144";
}
.fa-ticket:before {
  content: "\f145";
}
.fa-minus-square:before {
  content: "\f146";
}
.fa-minus-square-o:before {
  content: "\f147";
}
.fa-level-up:before {
  content: "\f148";
}
.fa-level-down:before {
  content: "\f149";
}
.fa-check-square:before {
  content: "\f14a";
}
.fa-pencil-square:before {
  content: "\f14b";
}
.fa-external-link-square:before {
  content: "\f14c";
}
.fa-share-square:before {
  content: "\f14d";
}
.fa-compass:before {
  content: "\f14e";
}
.fa-toggle-down:before,
.fa-caret-square-o-down:before {
  content: "\f150";
}
.fa-toggle-up:before,
.fa-caret-square-o-up:before {
  content: "\f151";
}
.fa-toggle-right:before,
.fa-caret-square-o-right:before {
  content: "\f152";
}
.fa-euro:before,
.fa-eur:before {
  content: "\f153";
}
.fa-gbp:before {
  content: "\f154";
}
.fa-dollar:before,
.fa-usd:before {
  content: "\f155";
}
.fa-rupee:before,
.fa-inr:before {
  content: "\f156";
}
.fa-cny:before,
.fa-rmb:before,
.fa-yen:before,
.fa-jpy:before {
  content: "\f157";
}
.fa-ruble:before,
.fa-rouble:before,
.fa-rub:before {
  content: "\f158";
}
.fa-won:before,
.fa-krw:before {
  content: "\f159";
}
.fa-bitcoin:before,
.fa-btc:before {
  content: "\f15a";
}
.fa-file:before {
  content: "\f15b";
}
.fa-file-text:before {
  content: "\f15c";
}
.fa-sort-alpha-asc:before {
  content: "\f15d";
}
.fa-sort-alpha-desc:before {
  content: "\f15e";
}
.fa-sort-amount-asc:before {
  content: "\f160";
}
.fa-sort-amount-desc:before {
  content: "\f161";
}
.fa-sort-numeric-asc:before {
  content: "\f162";
}
.fa-sort-numeric-desc:before {
  content: "\f163";
}
.fa-thumbs-up:before {
  content: "\f164";
}
.fa-thumbs-down:before {
  content: "\f165";
}
.fa-youtube-square:before {
  content: "\f166";
}
.fa-youtube:before {
  content: "\f167";
}
.fa-xing:before {
  content: "\f168";
}
.fa-xing-square:before {
  content: "\f169";
}
.fa-youtube-play:before {
  content: "\f16a";
}
.fa-dropbox:before {
  content: "\f16b";
}
.fa-stack-overflow:before {
  content: "\f16c";
}
.fa-instagram:before {
  content: "\f16d";
}
.fa-flickr:before {
  content: "\f16e";
}
.fa-adn:before {
  content: "\f170";
}
.fa-bitbucket:before {
  content: "\f171";
}
.fa-bitbucket-square:before {
  content: "\f172";
}
.fa-tumblr:before {
  content: "\f173";
}
.fa-tumblr-square:before {
  content: "\f174";
}
.fa-long-arrow-down:before {
  content: "\f175";
}
.fa-long-arrow-up:before {
  content: "\f176";
}
.fa-long-arrow-left:before {
  content: "\f177";
}
.fa-long-arrow-right:before {
  content: "\f178";
}
.fa-apple:before {
  content: "\f179";
}
.fa-windows:before {
  content: "\f17a";
}
.fa-android:before {
  content: "\f17b";
}
.fa-linux:before {
  content: "\f17c";
}
.fa-dribbble:before {
  content: "\f17d";
}
.fa-skype:before {
  content: "\f17e";
}
.fa-foursquare:before {
  content: "\f180";
}
.fa-trello:before {
  content: "\f181";
}
.fa-female:before {
  content: "\f182";
}
.fa-male:before {
  content: "\f183";
}
.fa-gittip:before {
  content: "\f184";
}
.fa-sun-o:before {
  content: "\f185";
}
.fa-moon-o:before {
  content: "\f186";
}
.fa-archive:before {
  content: "\f187";
}
.fa-bug:before {
  content: "\f188";
}
.fa-vk:before {
  content: "\f189";
}
.fa-weibo:before {
  content: "\f18a";
}
.fa-renren:before {
  content: "\f18b";
}
.fa-pagelines:before {
  content: "\f18c";
}
.fa-stack-exchange:before {
  content: "\f18d";
}
.fa-arrow-circle-o-right:before {
  content: "\f18e";
}
.fa-arrow-circle-o-left:before {
  content: "\f190";
}
.fa-toggle-left:before,
.fa-caret-square-o-left:before {
  content: "\f191";
}
.fa-dot-circle-o:before {
  content: "\f192";
}
.fa-wheelchair:before {
  content: "\f193";
}
.fa-vimeo-square:before {
  content: "\f194";
}
.fa-turkish-lira:before,
.fa-try:before {
  content: "\f195";
}
.fa-plus-square-o:before {
  content: "\f196";
}
.fa-space-shuttle:before {
  content: "\f197";
}
.fa-slack:before {
  content: "\f198";
}
.fa-envelope-square:before {
  content: "\f199";
}
.fa-wordpress:before {
  content: "\f19a";
}
.fa-openid:before {
  content: "\f19b";
}
.fa-institution:before,
.fa-bank:before,
.fa-university:before {
  content: "\f19c";
}
.fa-mortar-board:before,
.fa-graduation-cap:before {
  content: "\f19d";
}
.fa-yahoo:before {
  content: "\f19e";
}
.fa-google:before {
  content: "\f1a0";
}
.fa-reddit:before {
  content: "\f1a1";
}
.fa-reddit-square:before {
  content: "\f1a2";
}
.fa-stumbleupon-circle:before {
  content: "\f1a3";
}
.fa-stumbleupon:before {
  content: "\f1a4";
}
.fa-delicious:before {
  content: "\f1a5";
}
.fa-digg:before {
  content: "\f1a6";
}
.fa-pied-piper:before {
  content: "\f1a7";
}
.fa-pied-piper-alt:before {
  content: "\f1a8";
}
.fa-drupal:before {
  content: "\f1a9";
}
.fa-joomla:before {
  content: "\f1aa";
}
.fa-language:before {
  content: "\f1ab";
}
.fa-fax:before {
  content: "\f1ac";
}
.fa-building:before {
  content: "\f1ad";
}
.fa-child:before {
  content: "\f1ae";
}
.fa-paw:before {
  content: "\f1b0";
}
.fa-spoon:before {
  content: "\f1b1";
}
.fa-cube:before {
  content: "\f1b2";
}
.fa-cubes:before {
  content: "\f1b3";
}
.fa-behance:before {
  content: "\f1b4";
}
.fa-behance-square:before {
  content: "\f1b5";
}
.fa-steam:before {
  content: "\f1b6";
}
.fa-steam-square:before {
  content: "\f1b7";
}
.fa-recycle:before {
  content: "\f1b8";
}
.fa-automobile:before,
.fa-car:before {
  content: "\f1b9";
}
.fa-cab:before,
.fa-taxi:before {
  content: "\f1ba";
}
.fa-tree:before {
  content: "\f1bb";
}
.fa-spotify:before {
  content: "\f1bc";
}
.fa-deviantart:before {
  content: "\f1bd";
}
.fa-soundcloud:before {
  content: "\f1be";
}
.fa-database:before {
  content: "\f1c0";
}
.fa-file-pdf-o:before {
  content: "\f1c1";
}
.fa-file-word-o:before {
  content: "\f1c2";
}
.fa-file-excel-o:before {
  content: "\f1c3";
}
.fa-file-powerpoint-o:before {
  content: "\f1c4";
}
.fa-file-photo-o:before,
.fa-file-picture-o:before,
.fa-file-image-o:before {
  content: "\f1c5";
}
.fa-file-zip-o:before,
.fa-file-archive-o:before {
  content: "\f1c6";
}
.fa-file-sound-o:before,
.fa-file-audio-o:before {
  content: "\f1c7";
}
.fa-file-movie-o:before,
.fa-file-video-o:before {
  content: "\f1c8";
}
.fa-file-code-o:before {
  content: "\f1c9";
}
.fa-vine:before {
  content: "\f1ca";
}
.fa-codepen:before {
  content: "\f1cb";
}
.fa-jsfiddle:before {
  content: "\f1cc";
}
.fa-life-bouy:before,
.fa-life-buoy:before,
.fa-life-saver:before,
.fa-support:before,
.fa-life-ring:before {
  content: "\f1cd";
}
.fa-circle-o-notch:before {
  content: "\f1ce";
}
.fa-ra:before,
.fa-rebel:before {
  content: "\f1d0";
}
.fa-ge:before,
.fa-empire:before {
  content: "\f1d1";
}
.fa-git-square:before {
  content: "\f1d2";
}
.fa-git:before {
  content: "\f1d3";
}
.fa-hacker-news:before {
  content: "\f1d4";
}
.fa-tencent-weibo:before {
  content: "\f1d5";
}
.fa-qq:before {
  content: "\f1d6";
}
.fa-wechat:before,
.fa-weixin:before {
  content: "\f1d7";
}
.fa-send:before,
.fa-paper-plane:before {
  content: "\f1d8";
}
.fa-send-o:before,
.fa-paper-plane-o:before {
  content: "\f1d9";
}
.fa-history:before {
  content: "\f1da";
}
.fa-circle-thin:before {
  content: "\f1db";
}
.fa-header:before {
  content: "\f1dc";
}
.fa-paragraph:before {
  content: "\f1dd";
}
.fa-sliders:before {
  content: "\f1de";
}
.fa-share-alt:before {
  content: "\f1e0";
}
.fa-share-alt-square:before {
  content: "\f1e1";
}
.fa-bomb:before {
  content: "\f1e2";
}
.fa-soccer-ball-o:before,
.fa-futbol-o:before {
  content: "\f1e3";
}
.fa-tty:before {
  content: "\f1e4";
}
.fa-binoculars:before {
  content: "\f1e5";
}
.fa-plug:before {
  content: "\f1e6";
}
.fa-slideshare:before {
  content: "\f1e7";
}
.fa-twitch:before {
  content: "\f1e8";
}
.fa-yelp:before {
  content: "\f1e9";
}
.fa-newspaper-o:before {
  content: "\f1ea";
}
.fa-wifi:before {
  content: "\f1eb";
}
.fa-calculator:before {
  content: "\f1ec";
}
.fa-paypal:before {
  content: "\f1ed";
}
.fa-google-wallet:before {
  content: "\f1ee";
}
.fa-cc-visa:before {
  content: "\f1f0";
}
.fa-cc-mastercard:before {
  content: "\f1f1";
}
.fa-cc-discover:before {
  content: "\f1f2";
}
.fa-cc-amex:before {
  content: "\f1f3";
}
.fa-cc-paypal:before {
  content: "\f1f4";
}
.fa-cc-stripe:before {
  content: "\f1f5";
}
.fa-bell-slash:before {
  content: "\f1f6";
}
.fa-bell-slash-o:before {
  content: "\f1f7";
}
.fa-trash:before {
  content: "\f1f8";
}
.fa-copyright:before {
  content: "\f1f9";
}
.fa-at:before {
  content: "\f1fa";
}
.fa-eyedropper:before {
  content: "\f1fb";
}
.fa-paint-brush:before {
  content: "\f1fc";
}
.fa-birthday-cake:before {
  content: "\f1fd";
}
.fa-area-chart:before {
  content: "\f1fe";
}
.fa-pie-chart:before {
  content: "\f200";
}
.fa-line-chart:before {
  content: "\f201";
}
.fa-lastfm:before {
  content: "\f202";
}
.fa-lastfm-square:before {
  content: "\f203";
}
.fa-toggle-off:before {
  content: "\f204";
}
.fa-toggle-on:before {
  content: "\f205";
}
.fa-bicycle:before {
  content: "\f206";
}
.fa-bus:before {
  content: "\f207";
}
.fa-ioxhost:before {
  content: "\f208";
}
.fa-angellist:before {
  content: "\f209";
}
.fa-cc:before {
  content: "\f20a";
}
.fa-shekel:before,
.fa-sheqel:before,
.fa-ils:before {
  content: "\f20b";
}
.fa-meanpath:before {
  content: "\f20c";
}
/*!
*
* IPython base
*
*/
.modal.fade .modal-dialog {
  -webkit-transform: translate(0, 0);
  -ms-transform: translate(0, 0);
  -o-transform: translate(0, 0);
  transform: translate(0, 0);
}
code {
  color: #000;
}
pre {
  font-size: inherit;
  line-height: inherit;
}
label {
  font-weight: normal;
}
/* Make the page background atleast 100% the height of the view port */
/* Make the page itself atleast 70% the height of the view port */
.border-box-sizing {
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
.corner-all {
  border-radius: 2px;
}
.no-padding {
  padding: 0px;
}
/* Flexible box model classes */
/* Taken from Alex Russell http://infrequently.org/2009/08/css-3-progress/ */
/* This file is a compatability layer.  It allows the usage of flexible box 
model layouts accross multiple browsers, including older browsers.  The newest,
universal implementation of the flexible box model is used when available (see
`Modern browsers` comments below).  Browsers that are known to implement this 
new spec completely include:

    Firefox 28.0+
    Chrome 29.0+
    Internet Explorer 11+ 
    Opera 17.0+

Browsers not listed, including Safari, are supported via the styling under the
`Old browsers` comments below.
*/
.hbox {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
.hbox > * {
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
.vbox {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
}
.vbox > * {
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
.hbox.reverse,
.vbox.reverse,
.reverse {
  /* Old browsers */
  -webkit-box-direction: reverse;
  -moz-box-direction: reverse;
  box-direction: reverse;
  /* Modern browsers */
  flex-direction: row-reverse;
}
.hbox.box-flex0,
.vbox.box-flex0,
.box-flex0 {
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
  width: auto;
}
.hbox.box-flex1,
.vbox.box-flex1,
.box-flex1 {
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
}
.hbox.box-flex,
.vbox.box-flex,
.box-flex {
  /* Old browsers */
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
}
.hbox.box-flex2,
.vbox.box-flex2,
.box-flex2 {
  /* Old browsers */
  -webkit-box-flex: 2;
  -moz-box-flex: 2;
  box-flex: 2;
  /* Modern browsers */
  flex: 2;
}
.box-group1 {
  /*  Deprecated */
  -webkit-box-flex-group: 1;
  -moz-box-flex-group: 1;
  box-flex-group: 1;
}
.box-group2 {
  /* Deprecated */
  -webkit-box-flex-group: 2;
  -moz-box-flex-group: 2;
  box-flex-group: 2;
}
.hbox.start,
.vbox.start,
.start {
  /* Old browsers */
  -webkit-box-pack: start;
  -moz-box-pack: start;
  box-pack: start;
  /* Modern browsers */
  justify-content: flex-start;
}
.hbox.end,
.vbox.end,
.end {
  /* Old browsers */
  -webkit-box-pack: end;
  -moz-box-pack: end;
  box-pack: end;
  /* Modern browsers */
  justify-content: flex-end;
}
.hbox.center,
.vbox.center,
.center {
  /* Old browsers */
  -webkit-box-pack: center;
  -moz-box-pack: center;
  box-pack: center;
  /* Modern browsers */
  justify-content: center;
}
.hbox.baseline,
.vbox.baseline,
.baseline {
  /* Old browsers */
  -webkit-box-pack: baseline;
  -moz-box-pack: baseline;
  box-pack: baseline;
  /* Modern browsers */
  justify-content: baseline;
}
.hbox.stretch,
.vbox.stretch,
.stretch {
  /* Old browsers */
  -webkit-box-pack: stretch;
  -moz-box-pack: stretch;
  box-pack: stretch;
  /* Modern browsers */
  justify-content: stretch;
}
.hbox.align-start,
.vbox.align-start,
.align-start {
  /* Old browsers */
  -webkit-box-align: start;
  -moz-box-align: start;
  box-align: start;
  /* Modern browsers */
  align-items: flex-start;
}
.hbox.align-end,
.vbox.align-end,
.align-end {
  /* Old browsers */
  -webkit-box-align: end;
  -moz-box-align: end;
  box-align: end;
  /* Modern browsers */
  align-items: flex-end;
}
.hbox.align-center,
.vbox.align-center,
.align-center {
  /* Old browsers */
  -webkit-box-align: center;
  -moz-box-align: center;
  box-align: center;
  /* Modern browsers */
  align-items: center;
}
.hbox.align-baseline,
.vbox.align-baseline,
.align-baseline {
  /* Old browsers */
  -webkit-box-align: baseline;
  -moz-box-align: baseline;
  box-align: baseline;
  /* Modern browsers */
  align-items: baseline;
}
.hbox.align-stretch,
.vbox.align-stretch,
.align-stretch {
  /* Old browsers */
  -webkit-box-align: stretch;
  -moz-box-align: stretch;
  box-align: stretch;
  /* Modern browsers */
  align-items: stretch;
}
div.error {
  margin: 2em;
  text-align: center;
}
div.error > h1 {
  font-size: 500%;
  line-height: normal;
}
div.error > p {
  font-size: 200%;
  line-height: normal;
}
div.traceback-wrapper {
  text-align: left;
  max-width: 800px;
  margin: auto;
}
/**
 * Primary styles
 *
 * Author: Jupyter Development Team
 */
body {
  background-color: #fff;
  /* This makes sure that the body covers the entire window and needs to
       be in a different element than the display: box in wrapper below */
  position: absolute;
  left: 0px;
  right: 0px;
  top: 0px;
  bottom: 0px;
  overflow: visible;
}
body > #header {
  /* Initially hidden to prevent FLOUC */
  display: none;
  background-color: #fff;
  /* Display over codemirror */
  position: relative;
  z-index: 100;
}
body > #header #header-container {
  padding-bottom: 5px;
  padding-top: 5px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
body > #header .header-bar {
  width: 100%;
  height: 1px;
  background: #e7e7e7;
  margin-bottom: -1px;
}
@media print {
  body > #header {
    display: none !important;
  }
}
#header-spacer {
  width: 100%;
  visibility: hidden;
}
@media print {
  #header-spacer {
    display: none;
  }
}
#ipython_notebook {
  padding-left: 0px;
  padding-top: 1px;
  padding-bottom: 1px;
}
@media (max-width: 991px) {
  #ipython_notebook {
    margin-left: 10px;
  }
}
[dir="rtl"] #ipython_notebook {
  float: right !important;
}
#noscript {
  width: auto;
  padding-top: 16px;
  padding-bottom: 16px;
  text-align: center;
  font-size: 22px;
  color: red;
  font-weight: bold;
}
#ipython_notebook img {
  height: 28px;
}
#site {
  width: 100%;
  display: none;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  overflow: auto;
}
@media print {
  #site {
    height: auto !important;
  }
}
/* Smaller buttons */
.ui-button .ui-button-text {
  padding: 0.2em 0.8em;
  font-size: 77%;
}
input.ui-button {
  padding: 0.3em 0.9em;
}
span#login_widget {
  float: right;
}
span#login_widget > .button,
#logout {
  color: #333;
  background-color: #fff;
  border-color: #ccc;
}
span#login_widget > .button:focus,
#logout:focus,
span#login_widget > .button.focus,
#logout.focus {
  color: #333;
  background-color: #e6e6e6;
  border-color: #8c8c8c;
}
span#login_widget > .button:hover,
#logout:hover {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
span#login_widget > .button:active,
#logout:active,
span#login_widget > .button.active,
#logout.active,
.open > .dropdown-togglespan#login_widget > .button,
.open > .dropdown-toggle#logout {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
span#login_widget > .button:active:hover,
#logout:active:hover,
span#login_widget > .button.active:hover,
#logout.active:hover,
.open > .dropdown-togglespan#login_widget > .button:hover,
.open > .dropdown-toggle#logout:hover,
span#login_widget > .button:active:focus,
#logout:active:focus,
span#login_widget > .button.active:focus,
#logout.active:focus,
.open > .dropdown-togglespan#login_widget > .button:focus,
.open > .dropdown-toggle#logout:focus,
span#login_widget > .button:active.focus,
#logout:active.focus,
span#login_widget > .button.active.focus,
#logout.active.focus,
.open > .dropdown-togglespan#login_widget > .button.focus,
.open > .dropdown-toggle#logout.focus {
  color: #333;
  background-color: #d4d4d4;
  border-color: #8c8c8c;
}
span#login_widget > .button:active,
#logout:active,
span#login_widget > .button.active,
#logout.active,
.open > .dropdown-togglespan#login_widget > .button,
.open > .dropdown-toggle#logout {
  background-image: none;
}
span#login_widget > .button.disabled:hover,
#logout.disabled:hover,
span#login_widget > .button[disabled]:hover,
#logout[disabled]:hover,
fieldset[disabled] span#login_widget > .button:hover,
fieldset[disabled] #logout:hover,
span#login_widget > .button.disabled:focus,
#logout.disabled:focus,
span#login_widget > .button[disabled]:focus,
#logout[disabled]:focus,
fieldset[disabled] span#login_widget > .button:focus,
fieldset[disabled] #logout:focus,
span#login_widget > .button.disabled.focus,
#logout.disabled.focus,
span#login_widget > .button[disabled].focus,
#logout[disabled].focus,
fieldset[disabled] span#login_widget > .button.focus,
fieldset[disabled] #logout.focus {
  background-color: #fff;
  border-color: #ccc;
}
span#login_widget > .button .badge,
#logout .badge {
  color: #fff;
  background-color: #333;
}
.nav-header {
  text-transform: none;
}
#header > span {
  margin-top: 10px;
}
.modal_stretch .modal-dialog {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  min-height: 80vh;
}
.modal_stretch .modal-dialog .modal-body {
  max-height: calc(100vh - 200px);
  overflow: auto;
  flex: 1;
}
@media (min-width: 768px) {
  .modal .modal-dialog {
    width: 700px;
  }
}
@media (min-width: 768px) {
  select.form-control {
    margin-left: 12px;
    margin-right: 12px;
  }
}
/*!
*
* IPython auth
*
*/
.center-nav {
  display: inline-block;
  margin-bottom: -4px;
}
/*!
*
* IPython tree view
*
*/
/* We need an invisible input field on top of the sentense*/
/* "Drag file onto the list ..." */
.alternate_upload {
  background-color: none;
  display: inline;
}
.alternate_upload.form {
  padding: 0;
  margin: 0;
}
.alternate_upload input.fileinput {
  text-align: center;
  vertical-align: middle;
  display: inline;
  opacity: 0;
  z-index: 2;
  width: 12ex;
  margin-right: -12ex;
}
.alternate_upload .btn-upload {
  height: 22px;
}
/**
 * Primary styles
 *
 * Author: Jupyter Development Team
 */
[dir="rtl"] #tabs li {
  float: right;
}
ul#tabs {
  margin-bottom: 4px;
}
[dir="rtl"] ul#tabs {
  margin-right: 0px;
}
ul#tabs a {
  padding-top: 6px;
  padding-bottom: 4px;
}
ul.breadcrumb a:focus,
ul.breadcrumb a:hover {
  text-decoration: none;
}
ul.breadcrumb i.icon-home {
  font-size: 16px;
  margin-right: 4px;
}
ul.breadcrumb span {
  color: #5e5e5e;
}
.list_toolbar {
  padding: 4px 0 4px 0;
  vertical-align: middle;
}
.list_toolbar .tree-buttons {
  padding-top: 1px;
}
[dir="rtl"] .list_toolbar .tree-buttons {
  float: left !important;
}
[dir="rtl"] .list_toolbar .pull-right {
  padding-top: 1px;
  float: left !important;
}
[dir="rtl"] .list_toolbar .pull-left {
  float: right !important;
}
.dynamic-buttons {
  padding-top: 3px;
  display: inline-block;
}
.list_toolbar [class*="span"] {
  min-height: 24px;
}
.list_header {
  font-weight: bold;
  background-color: #EEE;
}
.list_placeholder {
  font-weight: bold;
  padding-top: 4px;
  padding-bottom: 4px;
  padding-left: 7px;
  padding-right: 7px;
}
.list_container {
  margin-top: 4px;
  margin-bottom: 20px;
  border: 1px solid #ddd;
  border-radius: 2px;
}
.list_container > div {
  border-bottom: 1px solid #ddd;
}
.list_container > div:hover .list-item {
  background-color: red;
}
.list_container > div:last-child {
  border: none;
}
.list_item:hover .list_item {
  background-color: #ddd;
}
.list_item a {
  text-decoration: none;
}
.list_item:hover {
  background-color: #fafafa;
}
.list_header > div,
.list_item > div {
  padding-top: 4px;
  padding-bottom: 4px;
  padding-left: 7px;
  padding-right: 7px;
  line-height: 22px;
}
.list_header > div input,
.list_item > div input {
  margin-right: 7px;
  margin-left: 14px;
  vertical-align: baseline;
  line-height: 22px;
  position: relative;
  top: -1px;
}
.list_header > div .item_link,
.list_item > div .item_link {
  margin-left: -1px;
  vertical-align: baseline;
  line-height: 22px;
}
.new-file input[type=checkbox] {
  visibility: hidden;
}
.item_name {
  line-height: 22px;
  height: 24px;
}
.item_icon {
  font-size: 14px;
  color: #5e5e5e;
  margin-right: 7px;
  margin-left: 7px;
  line-height: 22px;
  vertical-align: baseline;
}
.item_buttons {
  line-height: 1em;
  margin-left: -5px;
}
.item_buttons .btn,
.item_buttons .btn-group,
.item_buttons .input-group {
  float: left;
}
.item_buttons > .btn,
.item_buttons > .btn-group,
.item_buttons > .input-group {
  margin-left: 5px;
}
.item_buttons .btn {
  min-width: 13ex;
}
.item_buttons .running-indicator {
  padding-top: 4px;
  color: #5cb85c;
}
.item_buttons .kernel-name {
  padding-top: 4px;
  color: #5bc0de;
  margin-right: 7px;
  float: left;
}
.toolbar_info {
  height: 24px;
  line-height: 24px;
}
.list_item input:not([type=checkbox]) {
  padding-top: 3px;
  padding-bottom: 3px;
  height: 22px;
  line-height: 14px;
  margin: 0px;
}
.highlight_text {
  color: blue;
}
#project_name {
  display: inline-block;
  padding-left: 7px;
  margin-left: -2px;
}
#project_name > .breadcrumb {
  padding: 0px;
  margin-bottom: 0px;
  background-color: transparent;
  font-weight: bold;
}
#tree-selector {
  padding-right: 0px;
}
[dir="rtl"] #tree-selector a {
  float: right;
}
#button-select-all {
  min-width: 50px;
}
#select-all {
  margin-left: 7px;
  margin-right: 2px;
}
.menu_icon {
  margin-right: 2px;
}
.tab-content .row {
  margin-left: 0px;
  margin-right: 0px;
}
.folder_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f114";
}
.folder_icon:before.pull-left {
  margin-right: .3em;
}
.folder_icon:before.pull-right {
  margin-left: .3em;
}
.notebook_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f02d";
  position: relative;
  top: -1px;
}
.notebook_icon:before.pull-left {
  margin-right: .3em;
}
.notebook_icon:before.pull-right {
  margin-left: .3em;
}
.running_notebook_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f02d";
  position: relative;
  top: -1px;
  color: #5cb85c;
}
.running_notebook_icon:before.pull-left {
  margin-right: .3em;
}
.running_notebook_icon:before.pull-right {
  margin-left: .3em;
}
.file_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f016";
  position: relative;
  top: -2px;
}
.file_icon:before.pull-left {
  margin-right: .3em;
}
.file_icon:before.pull-right {
  margin-left: .3em;
}
#notebook_toolbar .pull-right {
  padding-top: 0px;
  margin-right: -1px;
}
ul#new-menu {
  left: auto;
  right: 0;
}
[dir="rtl"] #new-menu {
  text-align: right;
}
.kernel-menu-icon {
  padding-right: 12px;
  width: 24px;
  content: "\f096";
}
.kernel-menu-icon:before {
  content: "\f096";
}
.kernel-menu-icon-current:before {
  content: "\f00c";
}
#tab_content {
  padding-top: 20px;
}
#running .panel-group .panel {
  margin-top: 3px;
  margin-bottom: 1em;
}
#running .panel-group .panel .panel-heading {
  background-color: #EEE;
  padding-top: 4px;
  padding-bottom: 4px;
  padding-left: 7px;
  padding-right: 7px;
  line-height: 22px;
}
#running .panel-group .panel .panel-heading a:focus,
#running .panel-group .panel .panel-heading a:hover {
  text-decoration: none;
}
#running .panel-group .panel .panel-body {
  padding: 0px;
}
#running .panel-group .panel .panel-body .list_container {
  margin-top: 0px;
  margin-bottom: 0px;
  border: 0px;
  border-radius: 0px;
}
#running .panel-group .panel .panel-body .list_container .list_item {
  border-bottom: 1px solid #ddd;
}
#running .panel-group .panel .panel-body .list_container .list_item:last-child {
  border-bottom: 0px;
}
[dir="rtl"] #running .col-sm-8 {
  float: right !important;
}
.delete-button {
  display: none;
}
.duplicate-button {
  display: none;
}
.rename-button {
  display: none;
}
.shutdown-button {
  display: none;
}
.dynamic-instructions {
  display: inline-block;
  padding-top: 4px;
}
/*!
*
* IPython text editor webapp
*
*/
.selected-keymap i.fa {
  padding: 0px 5px;
}
.selected-keymap i.fa:before {
  content: "\f00c";
}
#mode-menu {
  overflow: auto;
  max-height: 20em;
}
.edit_app #header {
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
}
.edit_app #menubar .navbar {
  /* Use a negative 1 bottom margin, so the border overlaps the border of the
    header */
  margin-bottom: -1px;
}
.dirty-indicator {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  width: 20px;
}
.dirty-indicator.pull-left {
  margin-right: .3em;
}
.dirty-indicator.pull-right {
  margin-left: .3em;
}
.dirty-indicator-dirty {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  width: 20px;
}
.dirty-indicator-dirty.pull-left {
  margin-right: .3em;
}
.dirty-indicator-dirty.pull-right {
  margin-left: .3em;
}
.dirty-indicator-clean {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  width: 20px;
}
.dirty-indicator-clean.pull-left {
  margin-right: .3em;
}
.dirty-indicator-clean.pull-right {
  margin-left: .3em;
}
.dirty-indicator-clean:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f00c";
}
.dirty-indicator-clean:before.pull-left {
  margin-right: .3em;
}
.dirty-indicator-clean:before.pull-right {
  margin-left: .3em;
}
#filename {
  font-size: 16pt;
  display: table;
  padding: 0px 5px;
}
#current-mode {
  padding-left: 5px;
  padding-right: 5px;
}
#texteditor-backdrop {
  padding-top: 20px;
  padding-bottom: 20px;
}
@media not print {
  #texteditor-backdrop {
    background-color: #EEE;
  }
}
@media print {
  #texteditor-backdrop #texteditor-container .CodeMirror-gutter,
  #texteditor-backdrop #texteditor-container .CodeMirror-gutters {
    background-color: #fff;
  }
}
@media not print {
  #texteditor-backdrop #texteditor-container .CodeMirror-gutter,
  #texteditor-backdrop #texteditor-container .CodeMirror-gutters {
    background-color: #fff;
  }
}
@media not print {
  #texteditor-backdrop #texteditor-container {
    padding: 0px;
    background-color: #fff;
    -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
    box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  }
}
/*!
*
* IPython notebook
*
*/
/* CSS font colors for translated ANSI colors. */
.ansibold {
  font-weight: bold;
}
/* use dark versions for foreground, to improve visibility */
.ansiblack {
  color: black;
}
.ansired {
  color: darkred;
}
.ansigreen {
  color: darkgreen;
}
.ansiyellow {
  color: #c4a000;
}
.ansiblue {
  color: darkblue;
}
.ansipurple {
  color: darkviolet;
}
.ansicyan {
  color: steelblue;
}
.ansigray {
  color: gray;
}
/* and light for background, for the same reason */
.ansibgblack {
  background-color: black;
}
.ansibgred {
  background-color: red;
}
.ansibggreen {
  background-color: green;
}
.ansibgyellow {
  background-color: yellow;
}
.ansibgblue {
  background-color: blue;
}
.ansibgpurple {
  background-color: magenta;
}
.ansibgcyan {
  background-color: cyan;
}
.ansibggray {
  background-color: gray;
}
div.cell {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  border-radius: 2px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  border-width: 1px;
  border-style: solid;
  border-color: transparent;
  width: 100%;
  padding: 5px;
  /* This acts as a spacer between cells, that is outside the border */
  margin: 0px;
  outline: none;
  border-left-width: 1px;
  padding-left: 5px;
  background: linear-gradient(to right, transparent -40px, transparent 1px, transparent 1px, transparent 100%);
}
div.cell.jupyter-soft-selected {
  border-left-color: #90CAF9;
  border-left-color: #E3F2FD;
  border-left-width: 1px;
  padding-left: 5px;
  border-right-color: #E3F2FD;
  border-right-width: 1px;
  background: #E3F2FD;
}
@media print {
  div.cell.jupyter-soft-selected {
    border-color: transparent;
  }
}
div.cell.selected {
  border-color: #ababab;
  border-left-width: 0px;
  padding-left: 6px;
  background: linear-gradient(to right, #42A5F5 -40px, #42A5F5 5px, transparent 5px, transparent 100%);
}
@media print {
  div.cell.selected {
    border-color: transparent;
  }
}
div.cell.selected.jupyter-soft-selected {
  border-left-width: 0;
  padding-left: 6px;
  background: linear-gradient(to right, #42A5F5 -40px, #42A5F5 7px, #E3F2FD 7px, #E3F2FD 100%);
}
.edit_mode div.cell.selected {
  border-color: #66BB6A;
  border-left-width: 0px;
  padding-left: 6px;
  background: linear-gradient(to right, #66BB6A -40px, #66BB6A 5px, transparent 5px, transparent 100%);
}
@media print {
  .edit_mode div.cell.selected {
    border-color: transparent;
  }
}
.prompt {
  /* This needs to be wide enough for 3 digit prompt numbers: In[100]: */
  min-width: 14ex;
  /* This padding is tuned to match the padding on the CodeMirror editor. */
  padding: 0.4em;
  margin: 0px;
  font-family: monospace;
  text-align: right;
  /* This has to match that of the the CodeMirror class line-height below */
  line-height: 1.21429em;
  /* Don't highlight prompt number selection */
  -webkit-touch-callout: none;
  -webkit-user-select: none;
  -khtml-user-select: none;
  -moz-user-select: none;
  -ms-user-select: none;
  user-select: none;
  /* Use default cursor */
  cursor: default;
}
@media (max-width: 540px) {
  .prompt {
    text-align: left;
  }
}
div.inner_cell {
  min-width: 0;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
}
/* input_area and input_prompt must match in top border and margin for alignment */
div.input_area {
  border: 1px solid #cfcfcf;
  border-radius: 2px;
  background: #f7f7f7;
  line-height: 1.21429em;
}
/* This is needed so that empty prompt areas can collapse to zero height when there
   is no content in the output_subarea and the prompt. The main purpose of this is
   to make sure that empty JavaScript output_subareas have no height. */
div.prompt:empty {
  padding-top: 0;
  padding-bottom: 0;
}
div.unrecognized_cell {
  padding: 5px 5px 5px 0px;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
div.unrecognized_cell .inner_cell {
  border-radius: 2px;
  padding: 5px;
  font-weight: bold;
  color: red;
  border: 1px solid #cfcfcf;
  background: #eaeaea;
}
div.unrecognized_cell .inner_cell a {
  color: inherit;
  text-decoration: none;
}
div.unrecognized_cell .inner_cell a:hover {
  color: inherit;
  text-decoration: none;
}
@media (max-width: 540px) {
  div.unrecognized_cell > div.prompt {
    display: none;
  }
}
div.code_cell {
  /* avoid page breaking on code cells when printing */
}
@media print {
  div.code_cell {
    page-break-inside: avoid;
  }
}
/* any special styling for code cells that are currently running goes here */
div.input {
  page-break-inside: avoid;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
@media (max-width: 540px) {
  div.input {
    /* Old browsers */
    display: -webkit-box;
    -webkit-box-orient: vertical;
    -webkit-box-align: stretch;
    display: -moz-box;
    -moz-box-orient: vertical;
    -moz-box-align: stretch;
    display: box;
    box-orient: vertical;
    box-align: stretch;
    /* Modern browsers */
    display: flex;
    flex-direction: column;
    align-items: stretch;
  }
}
/* input_area and input_prompt must match in top border and margin for alignment */
div.input_prompt {
  color: #303F9F;
  border-top: 1px solid transparent;
}
div.input_area > div.highlight {
  margin: 0.4em;
  border: none;
  padding: 0px;
  background-color: transparent;
}
div.input_area > div.highlight > pre {
  margin: 0px;
  border: none;
  padding: 0px;
  background-color: transparent;
}
/* The following gets added to the <head> if it is detected that the user has a
 * monospace font with inconsistent normal/bold/italic height.  See
 * notebookmain.js.  Such fonts will have keywords vertically offset with
 * respect to the rest of the text.  The user should select a better font.
 * See: https://github.com/ipython/ipython/issues/1503
 *
 * .CodeMirror span {
 *      vertical-align: bottom;
 * }
 */
.CodeMirror {
  line-height: 1.21429em;
  /* Changed from 1em to our global default */
  font-size: 14px;
  height: auto;
  /* Changed to auto to autogrow */
  background: none;
  /* Changed from white to allow our bg to show through */
}
.CodeMirror-scroll {
  /*  The CodeMirror docs are a bit fuzzy on if overflow-y should be hidden or visible.*/
  /*  We have found that if it is visible, vertical scrollbars appear with font size changes.*/
  overflow-y: hidden;
  overflow-x: auto;
}
.CodeMirror-lines {
  /* In CM2, this used to be 0.4em, but in CM3 it went to 4px. We need the em value because */
  /* we have set a different line-height and want this to scale with that. */
  padding: 0.4em;
}
.CodeMirror-linenumber {
  padding: 0 8px 0 4px;
}
.CodeMirror-gutters {
  border-bottom-left-radius: 2px;
  border-top-left-radius: 2px;
}
.CodeMirror pre {
  /* In CM3 this went to 4px from 0 in CM2. We need the 0 value because of how we size */
  /* .CodeMirror-lines */
  padding: 0;
  border: 0;
  border-radius: 0;
}
/*

Original style from softwaremaniacs.org (c) Ivan Sagalaev <Maniac@SoftwareManiacs.Org>
Adapted from GitHub theme

*/
.highlight-base {
  color: #000;
}
.highlight-variable {
  color: #000;
}
.highlight-variable-2 {
  color: #1a1a1a;
}
.highlight-variable-3 {
  color: #333333;
}
.highlight-string {
  color: #BA2121;
}
.highlight-comment {
  color: #408080;
  font-style: italic;
}
.highlight-number {
  color: #080;
}
.highlight-atom {
  color: #88F;
}
.highlight-keyword {
  color: #008000;
  font-weight: bold;
}
.highlight-builtin {
  color: #008000;
}
.highlight-error {
  color: #f00;
}
.highlight-operator {
  color: #AA22FF;
  font-weight: bold;
}
.highlight-meta {
  color: #AA22FF;
}
/* previously not defined, copying from default codemirror */
.highlight-def {
  color: #00f;
}
.highlight-string-2 {
  color: #f50;
}
.highlight-qualifier {
  color: #555;
}
.highlight-bracket {
  color: #997;
}
.highlight-tag {
  color: #170;
}
.highlight-attribute {
  color: #00c;
}
.highlight-header {
  color: blue;
}
.highlight-quote {
  color: #090;
}
.highlight-link {
  color: #00c;
}
/* apply the same style to codemirror */
.cm-s-ipython span.cm-keyword {
  color: #008000;
  font-weight: bold;
}
.cm-s-ipython span.cm-atom {
  color: #88F;
}
.cm-s-ipython span.cm-number {
  color: #080;
}
.cm-s-ipython span.cm-def {
  color: #00f;
}
.cm-s-ipython span.cm-variable {
  color: #000;
}
.cm-s-ipython span.cm-operator {
  color: #AA22FF;
  font-weight: bold;
}
.cm-s-ipython span.cm-variable-2 {
  color: #1a1a1a;
}
.cm-s-ipython span.cm-variable-3 {
  color: #333333;
}
.cm-s-ipython span.cm-comment {
  color: #408080;
  font-style: italic;
}
.cm-s-ipython span.cm-string {
  color: #BA2121;
}
.cm-s-ipython span.cm-string-2 {
  color: #f50;
}
.cm-s-ipython span.cm-meta {
  color: #AA22FF;
}
.cm-s-ipython span.cm-qualifier {
  color: #555;
}
.cm-s-ipython span.cm-builtin {
  color: #008000;
}
.cm-s-ipython span.cm-bracket {
  color: #997;
}
.cm-s-ipython span.cm-tag {
  color: #170;
}
.cm-s-ipython span.cm-attribute {
  color: #00c;
}
.cm-s-ipython span.cm-header {
  color: blue;
}
.cm-s-ipython span.cm-quote {
  color: #090;
}
.cm-s-ipython span.cm-link {
  color: #00c;
}
.cm-s-ipython span.cm-error {
  color: #f00;
}
.cm-s-ipython span.cm-tab {
  background: url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADAAAAAMCAYAAAAkuj5RAAAAAXNSR0IArs4c6QAAAGFJREFUSMft1LsRQFAQheHPowAKoACx3IgEKtaEHujDjORSgWTH/ZOdnZOcM/sgk/kFFWY0qV8foQwS4MKBCS3qR6ixBJvElOobYAtivseIE120FaowJPN75GMu8j/LfMwNjh4HUpwg4LUAAAAASUVORK5CYII=);
  background-position: right;
  background-repeat: no-repeat;
}
div.output_wrapper {
  /* this position must be relative to enable descendents to be absolute within it */
  position: relative;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  z-index: 1;
}
/* class for the output area when it should be height-limited */
div.output_scroll {
  /* ideally, this would be max-height, but FF barfs all over that */
  height: 24em;
  /* FF needs this *and the wrapper* to specify full width, or it will shrinkwrap */
  width: 100%;
  overflow: auto;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 2px 8px rgba(0, 0, 0, 0.8);
  box-shadow: inset 0 2px 8px rgba(0, 0, 0, 0.8);
  display: block;
}
/* output div while it is collapsed */
div.output_collapsed {
  margin: 0px;
  padding: 0px;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
}
div.out_prompt_overlay {
  height: 100%;
  padding: 0px 0.4em;
  position: absolute;
  border-radius: 2px;
}
div.out_prompt_overlay:hover {
  /* use inner shadow to get border that is computed the same on WebKit/FF */
  -webkit-box-shadow: inset 0 0 1px #000;
  box-shadow: inset 0 0 1px #000;
  background: rgba(240, 240, 240, 0.5);
}
div.output_prompt {
  color: #D84315;
}
/* This class is the outer container of all output sections. */
div.output_area {
  padding: 0px;
  page-break-inside: avoid;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
div.output_area .MathJax_Display {
  text-align: left !important;
}
div.output_area .rendered_html table {
  margin-left: 0;
  margin-right: 0;
}
div.output_area .rendered_html img {
  margin-left: 0;
  margin-right: 0;
}
div.output_area img,
div.output_area svg {
  max-width: 100%;
  height: auto;
}
div.output_area img.unconfined,
div.output_area svg.unconfined {
  max-width: none;
}
/* This is needed to protect the pre formating from global settings such
   as that of bootstrap */
.output {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
}
@media (max-width: 540px) {
  div.output_area {
    /* Old browsers */
    display: -webkit-box;
    -webkit-box-orient: vertical;
    -webkit-box-align: stretch;
    display: -moz-box;
    -moz-box-orient: vertical;
    -moz-box-align: stretch;
    display: box;
    box-orient: vertical;
    box-align: stretch;
    /* Modern browsers */
    display: flex;
    flex-direction: column;
    align-items: stretch;
  }
}
div.output_area pre {
  margin: 0;
  padding: 0;
  border: 0;
  vertical-align: baseline;
  color: black;
  background-color: transparent;
  border-radius: 0;
}
/* This class is for the output subarea inside the output_area and after
   the prompt div. */
div.output_subarea {
  overflow-x: auto;
  padding: 0.4em;
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
  max-width: calc(100% - 14ex);
}
div.output_scroll div.output_subarea {
  overflow-x: visible;
}
/* The rest of the output_* classes are for special styling of the different
   output types */
/* all text output has this class: */
div.output_text {
  text-align: left;
  color: #000;
  /* This has to match that of the the CodeMirror class line-height below */
  line-height: 1.21429em;
}
/* stdout/stderr are 'text' as well as 'stream', but execute_result/error are *not* streams */
div.output_stderr {
  background: #fdd;
  /* very light red background for stderr */
}
div.output_latex {
  text-align: left;
}
/* Empty output_javascript divs should have no height */
div.output_javascript:empty {
  padding: 0;
}
.js-error {
  color: darkred;
}
/* raw_input styles */
div.raw_input_container {
  line-height: 1.21429em;
  padding-top: 5px;
}
pre.raw_input_prompt {
  /* nothing needed here. */
}
input.raw_input {
  font-family: monospace;
  font-size: inherit;
  color: inherit;
  width: auto;
  /* make sure input baseline aligns with prompt */
  vertical-align: baseline;
  /* padding + margin = 0.5em between prompt and cursor */
  padding: 0em 0.25em;
  margin: 0em 0.25em;
}
input.raw_input:focus {
  box-shadow: none;
}
p.p-space {
  margin-bottom: 10px;
}
div.output_unrecognized {
  padding: 5px;
  font-weight: bold;
  color: red;
}
div.output_unrecognized a {
  color: inherit;
  text-decoration: none;
}
div.output_unrecognized a:hover {
  color: inherit;
  text-decoration: none;
}
.rendered_html {
  color: #000;
  /* any extras will just be numbers: */
}
.rendered_html em {
  font-style: italic;
}
.rendered_html strong {
  font-weight: bold;
}
.rendered_html u {
  text-decoration: underline;
}
.rendered_html :link {
  text-decoration: underline;
}
.rendered_html :visited {
  text-decoration: underline;
}
.rendered_html h1 {
  font-size: 185.7%;
  margin: 1.08em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h2 {
  font-size: 157.1%;
  margin: 1.27em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h3 {
  font-size: 128.6%;
  margin: 1.55em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h4 {
  font-size: 100%;
  margin: 2em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h5 {
  font-size: 100%;
  margin: 2em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
  font-style: italic;
}
.rendered_html h6 {
  font-size: 100%;
  margin: 2em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
  font-style: italic;
}
.rendered_html h1:first-child {
  margin-top: 0.538em;
}
.rendered_html h2:first-child {
  margin-top: 0.636em;
}
.rendered_html h3:first-child {
  margin-top: 0.777em;
}
.rendered_html h4:first-child {
  margin-top: 1em;
}
.rendered_html h5:first-child {
  margin-top: 1em;
}
.rendered_html h6:first-child {
  margin-top: 1em;
}
.rendered_html ul {
  list-style: disc;
  margin: 0em 2em;
  padding-left: 0px;
}
.rendered_html ul ul {
  list-style: square;
  margin: 0em 2em;
}
.rendered_html ul ul ul {
  list-style: circle;
  margin: 0em 2em;
}
.rendered_html ol {
  list-style: decimal;
  margin: 0em 2em;
  padding-left: 0px;
}
.rendered_html ol ol {
  list-style: upper-alpha;
  margin: 0em 2em;
}
.rendered_html ol ol ol {
  list-style: lower-alpha;
  margin: 0em 2em;
}
.rendered_html ol ol ol ol {
  list-style: lower-roman;
  margin: 0em 2em;
}
.rendered_html ol ol ol ol ol {
  list-style: decimal;
  margin: 0em 2em;
}
.rendered_html * + ul {
  margin-top: 1em;
}
.rendered_html * + ol {
  margin-top: 1em;
}
.rendered_html hr {
  color: black;
  background-color: black;
}
.rendered_html pre {
  margin: 1em 2em;
}
.rendered_html pre,
.rendered_html code {
  border: 0;
  background-color: #fff;
  color: #000;
  font-size: 100%;
  padding: 0px;
}
.rendered_html blockquote {
  margin: 1em 2em;
}
.rendered_html table {
  margin-left: auto;
  margin-right: auto;
  border: 1px solid black;
  border-collapse: collapse;
}
.rendered_html tr,
.rendered_html th,
.rendered_html td {
  border: 1px solid black;
  border-collapse: collapse;
  margin: 1em 2em;
}
.rendered_html td,
.rendered_html th {
  text-align: left;
  vertical-align: middle;
  padding: 4px;
}
.rendered_html th {
  font-weight: bold;
}
.rendered_html * + table {
  margin-top: 1em;
}
.rendered_html p {
  text-align: left;
}
.rendered_html * + p {
  margin-top: 1em;
}
.rendered_html img {
  display: block;
  margin-left: auto;
  margin-right: auto;
}
.rendered_html * + img {
  margin-top: 1em;
}
.rendered_html img,
.rendered_html svg {
  max-width: 100%;
  height: auto;
}
.rendered_html img.unconfined,
.rendered_html svg.unconfined {
  max-width: none;
}
div.text_cell {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
@media (max-width: 540px) {
  div.text_cell > div.prompt {
    display: none;
  }
}
div.text_cell_render {
  /*font-family: "Helvetica Neue", Arial, Helvetica, Geneva, sans-serif;*/
  outline: none;
  resize: none;
  width: inherit;
  border-style: none;
  padding: 0.5em 0.5em 0.5em 0.4em;
  color: #000;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
a.anchor-link:link {
  text-decoration: none;
  padding: 0px 20px;
  visibility: hidden;
}
h1:hover .anchor-link,
h2:hover .anchor-link,
h3:hover .anchor-link,
h4:hover .anchor-link,
h5:hover .anchor-link,
h6:hover .anchor-link {
  visibility: visible;
}
.text_cell.rendered .input_area {
  display: none;
}
.text_cell.rendered .rendered_html {
  overflow-x: auto;
  overflow-y: hidden;
}
.text_cell.unrendered .text_cell_render {
  display: none;
}
.cm-header-1,
.cm-header-2,
.cm-header-3,
.cm-header-4,
.cm-header-5,
.cm-header-6 {
  font-weight: bold;
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
}
.cm-header-1 {
  font-size: 185.7%;
}
.cm-header-2 {
  font-size: 157.1%;
}
.cm-header-3 {
  font-size: 128.6%;
}
.cm-header-4 {
  font-size: 110%;
}
.cm-header-5 {
  font-size: 100%;
  font-style: italic;
}
.cm-header-6 {
  font-size: 100%;
  font-style: italic;
}
/*!
*
* IPython notebook webapp
*
*/
@media (max-width: 767px) {
  .notebook_app {
    padding-left: 0px;
    padding-right: 0px;
  }
}
#ipython-main-app {
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  height: 100%;
}
div#notebook_panel {
  margin: 0px;
  padding: 0px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  height: 100%;
}
div#notebook {
  font-size: 14px;
  line-height: 20px;
  overflow-y: hidden;
  overflow-x: auto;
  width: 100%;
  /* This spaces the page away from the edge of the notebook area */
  padding-top: 20px;
  margin: 0px;
  outline: none;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  min-height: 100%;
}
@media not print {
  #notebook-container {
    padding: 15px;
    background-color: #fff;
    min-height: 0;
    -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
    box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  }
}
@media print {
  #notebook-container {
    width: 100%;
  }
}
div.ui-widget-content {
  border: 1px solid #ababab;
  outline: none;
}
pre.dialog {
  background-color: #f7f7f7;
  border: 1px solid #ddd;
  border-radius: 2px;
  padding: 0.4em;
  padding-left: 2em;
}
p.dialog {
  padding: 0.2em;
}
/* Word-wrap output correctly.  This is the CSS3 spelling, though Firefox seems
   to not honor it correctly.  Webkit browsers (Chrome, rekonq, Safari) do.
 */
pre,
code,
kbd,
samp {
  white-space: pre-wrap;
}
#fonttest {
  font-family: monospace;
}
p {
  margin-bottom: 0;
}
.end_space {
  min-height: 100px;
  transition: height .2s ease;
}
.notebook_app > #header {
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
}
@media not print {
  .notebook_app {
    background-color: #EEE;
  }
}
kbd {
  border-style: solid;
  border-width: 1px;
  box-shadow: none;
  margin: 2px;
  padding-left: 2px;
  padding-right: 2px;
  padding-top: 1px;
  padding-bottom: 1px;
}
/* CSS for the cell toolbar */
.celltoolbar {
  border: thin solid #CFCFCF;
  border-bottom: none;
  background: #EEE;
  border-radius: 2px 2px 0px 0px;
  width: 100%;
  height: 29px;
  padding-right: 4px;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
  /* Old browsers */
  -webkit-box-pack: end;
  -moz-box-pack: end;
  box-pack: end;
  /* Modern browsers */
  justify-content: flex-end;
  display: -webkit-flex;
}
@media print {
  .celltoolbar {
    display: none;
  }
}
.ctb_hideshow {
  display: none;
  vertical-align: bottom;
}
/* ctb_show is added to the ctb_hideshow div to show the cell toolbar.
   Cell toolbars are only shown when the ctb_global_show class is also set.
*/
.ctb_global_show .ctb_show.ctb_hideshow {
  display: block;
}
.ctb_global_show .ctb_show + .input_area,
.ctb_global_show .ctb_show + div.text_cell_input,
.ctb_global_show .ctb_show ~ div.text_cell_render {
  border-top-right-radius: 0px;
  border-top-left-radius: 0px;
}
.ctb_global_show .ctb_show ~ div.text_cell_render {
  border: 1px solid #cfcfcf;
}
.celltoolbar {
  font-size: 87%;
  padding-top: 3px;
}
.celltoolbar select {
  display: block;
  width: 100%;
  height: 32px;
  padding: 6px 12px;
  font-size: 13px;
  line-height: 1.42857143;
  color: #555555;
  background-color: #fff;
  background-image: none;
  border: 1px solid #ccc;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  -webkit-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  -o-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
  width: inherit;
  font-size: inherit;
  height: 22px;
  padding: 0px;
  display: inline-block;
}
.celltoolbar select:focus {
  border-color: #66afe9;
  outline: 0;
  -webkit-box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
  box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
}
.celltoolbar select::-moz-placeholder {
  color: #999;
  opacity: 1;
}
.celltoolbar select:-ms-input-placeholder {
  color: #999;
}
.celltoolbar select::-webkit-input-placeholder {
  color: #999;
}
.celltoolbar select::-ms-expand {
  border: 0;
  background-color: transparent;
}
.celltoolbar select[disabled],
.celltoolbar select[readonly],
fieldset[disabled] .celltoolbar select {
  background-color: #eeeeee;
  opacity: 1;
}
.celltoolbar select[disabled],
fieldset[disabled] .celltoolbar select {
  cursor: not-allowed;
}
textarea.celltoolbar select {
  height: auto;
}
select.celltoolbar select {
  height: 30px;
  line-height: 30px;
}
textarea.celltoolbar select,
select[multiple].celltoolbar select {
  height: auto;
}
.celltoolbar label {
  margin-left: 5px;
  margin-right: 5px;
}
.completions {
  position: absolute;
  z-index: 110;
  overflow: hidden;
  border: 1px solid #ababab;
  border-radius: 2px;
  -webkit-box-shadow: 0px 6px 10px -1px #adadad;
  box-shadow: 0px 6px 10px -1px #adadad;
  line-height: 1;
}
.completions select {
  background: white;
  outline: none;
  border: none;
  padding: 0px;
  margin: 0px;
  overflow: auto;
  font-family: monospace;
  font-size: 110%;
  color: #000;
  width: auto;
}
.completions select option.context {
  color: #286090;
}
#kernel_logo_widget {
  float: right !important;
  float: right;
}
#kernel_logo_widget .current_kernel_logo {
  display: none;
  margin-top: -1px;
  margin-bottom: -1px;
  width: 32px;
  height: 32px;
}
#menubar {
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  margin-top: 1px;
}
#menubar .navbar {
  border-top: 1px;
  border-radius: 0px 0px 2px 2px;
  margin-bottom: 0px;
}
#menubar .navbar-toggle {
  float: left;
  padding-top: 7px;
  padding-bottom: 7px;
  border: none;
}
#menubar .navbar-collapse {
  clear: left;
}
.nav-wrapper {
  border-bottom: 1px solid #e7e7e7;
}
i.menu-icon {
  padding-top: 4px;
}
ul#help_menu li a {
  overflow: hidden;
  padding-right: 2.2em;
}
ul#help_menu li a i {
  margin-right: -1.2em;
}
.dropdown-submenu {
  position: relative;
}
.dropdown-submenu > .dropdown-menu {
  top: 0;
  left: 100%;
  margin-top: -6px;
  margin-left: -1px;
}
.dropdown-submenu:hover > .dropdown-menu {
  display: block;
}
.dropdown-submenu > a:after {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  display: block;
  content: "\f0da";
  float: right;
  color: #333333;
  margin-top: 2px;
  margin-right: -10px;
}
.dropdown-submenu > a:after.pull-left {
  margin-right: .3em;
}
.dropdown-submenu > a:after.pull-right {
  margin-left: .3em;
}
.dropdown-submenu:hover > a:after {
  color: #262626;
}
.dropdown-submenu.pull-left {
  float: none;
}
.dropdown-submenu.pull-left > .dropdown-menu {
  left: -100%;
  margin-left: 10px;
}
#notification_area {
  float: right !important;
  float: right;
  z-index: 10;
}
.indicator_area {
  float: right !important;
  float: right;
  color: #777;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
}
#kernel_indicator {
  float: right !important;
  float: right;
  color: #777;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
  border-left: 1px solid;
}
#kernel_indicator .kernel_indicator_name {
  padding-left: 5px;
  padding-right: 5px;
}
#modal_indicator {
  float: right !important;
  float: right;
  color: #777;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
}
#readonly-indicator {
  float: right !important;
  float: right;
  color: #777;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
  margin-top: 2px;
  margin-bottom: 0px;
  margin-left: 0px;
  margin-right: 0px;
  display: none;
}
.modal_indicator:before {
  width: 1.28571429em;
  text-align: center;
}
.edit_mode .modal_indicator:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f040";
}
.edit_mode .modal_indicator:before.pull-left {
  margin-right: .3em;
}
.edit_mode .modal_indicator:before.pull-right {
  margin-left: .3em;
}
.command_mode .modal_indicator:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: ' ';
}
.command_mode .modal_indicator:before.pull-left {
  margin-right: .3em;
}
.command_mode .modal_indicator:before.pull-right {
  margin-left: .3em;
}
.kernel_idle_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f10c";
}
.kernel_idle_icon:before.pull-left {
  margin-right: .3em;
}
.kernel_idle_icon:before.pull-right {
  margin-left: .3em;
}
.kernel_busy_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f111";
}
.kernel_busy_icon:before.pull-left {
  margin-right: .3em;
}
.kernel_busy_icon:before.pull-right {
  margin-left: .3em;
}
.kernel_dead_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f1e2";
}
.kernel_dead_icon:before.pull-left {
  margin-right: .3em;
}
.kernel_dead_icon:before.pull-right {
  margin-left: .3em;
}
.kernel_disconnected_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f127";
}
.kernel_disconnected_icon:before.pull-left {
  margin-right: .3em;
}
.kernel_disconnected_icon:before.pull-right {
  margin-left: .3em;
}
.notification_widget {
  color: #777;
  z-index: 10;
  background: rgba(240, 240, 240, 0.5);
  margin-right: 4px;
  color: #333;
  background-color: #fff;
  border-color: #ccc;
}
.notification_widget:focus,
.notification_widget.focus {
  color: #333;
  background-color: #e6e6e6;
  border-color: #8c8c8c;
}
.notification_widget:hover {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.notification_widget:active,
.notification_widget.active,
.open > .dropdown-toggle.notification_widget {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.notification_widget:active:hover,
.notification_widget.active:hover,
.open > .dropdown-toggle.notification_widget:hover,
.notification_widget:active:focus,
.notification_widget.active:focus,
.open > .dropdown-toggle.notification_widget:focus,
.notification_widget:active.focus,
.notification_widget.active.focus,
.open > .dropdown-toggle.notification_widget.focus {
  color: #333;
  background-color: #d4d4d4;
  border-color: #8c8c8c;
}
.notification_widget:active,
.notification_widget.active,
.open > .dropdown-toggle.notification_widget {
  background-image: none;
}
.notification_widget.disabled:hover,
.notification_widget[disabled]:hover,
fieldset[disabled] .notification_widget:hover,
.notification_widget.disabled:focus,
.notification_widget[disabled]:focus,
fieldset[disabled] .notification_widget:focus,
.notification_widget.disabled.focus,
.notification_widget[disabled].focus,
fieldset[disabled] .notification_widget.focus {
  background-color: #fff;
  border-color: #ccc;
}
.notification_widget .badge {
  color: #fff;
  background-color: #333;
}
.notification_widget.warning {
  color: #fff;
  background-color: #f0ad4e;
  border-color: #eea236;
}
.notification_widget.warning:focus,
.notification_widget.warning.focus {
  color: #fff;
  background-color: #ec971f;
  border-color: #985f0d;
}
.notification_widget.warning:hover {
  color: #fff;
  background-color: #ec971f;
  border-color: #d58512;
}
.notification_widget.warning:active,
.notification_widget.warning.active,
.open > .dropdown-toggle.notification_widget.warning {
  color: #fff;
  background-color: #ec971f;
  border-color: #d58512;
}
.notification_widget.warning:active:hover,
.notification_widget.warning.active:hover,
.open > .dropdown-toggle.notification_widget.warning:hover,
.notification_widget.warning:active:focus,
.notification_widget.warning.active:focus,
.open > .dropdown-toggle.notification_widget.warning:focus,
.notification_widget.warning:active.focus,
.notification_widget.warning.active.focus,
.open > .dropdown-toggle.notification_widget.warning.focus {
  color: #fff;
  background-color: #d58512;
  border-color: #985f0d;
}
.notification_widget.warning:active,
.notification_widget.warning.active,
.open > .dropdown-toggle.notification_widget.warning {
  background-image: none;
}
.notification_widget.warning.disabled:hover,
.notification_widget.warning[disabled]:hover,
fieldset[disabled] .notification_widget.warning:hover,
.notification_widget.warning.disabled:focus,
.notification_widget.warning[disabled]:focus,
fieldset[disabled] .notification_widget.warning:focus,
.notification_widget.warning.disabled.focus,
.notification_widget.warning[disabled].focus,
fieldset[disabled] .notification_widget.warning.focus {
  background-color: #f0ad4e;
  border-color: #eea236;
}
.notification_widget.warning .badge {
  color: #f0ad4e;
  background-color: #fff;
}
.notification_widget.success {
  color: #fff;
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.notification_widget.success:focus,
.notification_widget.success.focus {
  color: #fff;
  background-color: #449d44;
  border-color: #255625;
}
.notification_widget.success:hover {
  color: #fff;
  background-color: #449d44;
  border-color: #398439;
}
.notification_widget.success:active,
.notification_widget.success.active,
.open > .dropdown-toggle.notification_widget.success {
  color: #fff;
  background-color: #449d44;
  border-color: #398439;
}
.notification_widget.success:active:hover,
.notification_widget.success.active:hover,
.open > .dropdown-toggle.notification_widget.success:hover,
.notification_widget.success:active:focus,
.notification_widget.success.active:focus,
.open > .dropdown-toggle.notification_widget.success:focus,
.notification_widget.success:active.focus,
.notification_widget.success.active.focus,
.open > .dropdown-toggle.notification_widget.success.focus {
  color: #fff;
  background-color: #398439;
  border-color: #255625;
}
.notification_widget.success:active,
.notification_widget.success.active,
.open > .dropdown-toggle.notification_widget.success {
  background-image: none;
}
.notification_widget.success.disabled:hover,
.notification_widget.success[disabled]:hover,
fieldset[disabled] .notification_widget.success:hover,
.notification_widget.success.disabled:focus,
.notification_widget.success[disabled]:focus,
fieldset[disabled] .notification_widget.success:focus,
.notification_widget.success.disabled.focus,
.notification_widget.success[disabled].focus,
fieldset[disabled] .notification_widget.success.focus {
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.notification_widget.success .badge {
  color: #5cb85c;
  background-color: #fff;
}
.notification_widget.info {
  color: #fff;
  background-color: #5bc0de;
  border-color: #46b8da;
}
.notification_widget.info:focus,
.notification_widget.info.focus {
  color: #fff;
  background-color: #31b0d5;
  border-color: #1b6d85;
}
.notification_widget.info:hover {
  color: #fff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.notification_widget.info:active,
.notification_widget.info.active,
.open > .dropdown-toggle.notification_widget.info {
  color: #fff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.notification_widget.info:active:hover,
.notification_widget.info.active:hover,
.open > .dropdown-toggle.notification_widget.info:hover,
.notification_widget.info:active:focus,
.notification_widget.info.active:focus,
.open > .dropdown-toggle.notification_widget.info:focus,
.notification_widget.info:active.focus,
.notification_widget.info.active.focus,
.open > .dropdown-toggle.notification_widget.info.focus {
  color: #fff;
  background-color: #269abc;
  border-color: #1b6d85;
}
.notification_widget.info:active,
.notification_widget.info.active,
.open > .dropdown-toggle.notification_widget.info {
  background-image: none;
}
.notification_widget.info.disabled:hover,
.notification_widget.info[disabled]:hover,
fieldset[disabled] .notification_widget.info:hover,
.notification_widget.info.disabled:focus,
.notification_widget.info[disabled]:focus,
fieldset[disabled] .notification_widget.info:focus,
.notification_widget.info.disabled.focus,
.notification_widget.info[disabled].focus,
fieldset[disabled] .notification_widget.info.focus {
  background-color: #5bc0de;
  border-color: #46b8da;
}
.notification_widget.info .badge {
  color: #5bc0de;
  background-color: #fff;
}
.notification_widget.danger {
  color: #fff;
  background-color: #d9534f;
  border-color: #d43f3a;
}
.notification_widget.danger:focus,
.notification_widget.danger.focus {
  color: #fff;
  background-color: #c9302c;
  border-color: #761c19;
}
.notification_widget.danger:hover {
  color: #fff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.notification_widget.danger:active,
.notification_widget.danger.active,
.open > .dropdown-toggle.notification_widget.danger {
  color: #fff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.notification_widget.danger:active:hover,
.notification_widget.danger.active:hover,
.open > .dropdown-toggle.notification_widget.danger:hover,
.notification_widget.danger:active:focus,
.notification_widget.danger.active:focus,
.open > .dropdown-toggle.notification_widget.danger:focus,
.notification_widget.danger:active.focus,
.notification_widget.danger.active.focus,
.open > .dropdown-toggle.notification_widget.danger.focus {
  color: #fff;
  background-color: #ac2925;
  border-color: #761c19;
}
.notification_widget.danger:active,
.notification_widget.danger.active,
.open > .dropdown-toggle.notification_widget.danger {
  background-image: none;
}
.notification_widget.danger.disabled:hover,
.notification_widget.danger[disabled]:hover,
fieldset[disabled] .notification_widget.danger:hover,
.notification_widget.danger.disabled:focus,
.notification_widget.danger[disabled]:focus,
fieldset[disabled] .notification_widget.danger:focus,
.notification_widget.danger.disabled.focus,
.notification_widget.danger[disabled].focus,
fieldset[disabled] .notification_widget.danger.focus {
  background-color: #d9534f;
  border-color: #d43f3a;
}
.notification_widget.danger .badge {
  color: #d9534f;
  background-color: #fff;
}
div#pager {
  background-color: #fff;
  font-size: 14px;
  line-height: 20px;
  overflow: hidden;
  display: none;
  position: fixed;
  bottom: 0px;
  width: 100%;
  max-height: 50%;
  padding-top: 8px;
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  /* Display over codemirror */
  z-index: 100;
  /* Hack which prevents jquery ui resizable from changing top. */
  top: auto !important;
}
div#pager pre {
  line-height: 1.21429em;
  color: #000;
  background-color: #f7f7f7;
  padding: 0.4em;
}
div#pager #pager-button-area {
  position: absolute;
  top: 8px;
  right: 20px;
}
div#pager #pager-contents {
  position: relative;
  overflow: auto;
  width: 100%;
  height: 100%;
}
div#pager #pager-contents #pager-container {
  position: relative;
  padding: 15px 0px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
div#pager .ui-resizable-handle {
  top: 0px;
  height: 8px;
  background: #f7f7f7;
  border-top: 1px solid #cfcfcf;
  border-bottom: 1px solid #cfcfcf;
  /* This injects handle bars (a short, wide = symbol) for 
        the resize handle. */
}
div#pager .ui-resizable-handle::after {
  content: '';
  top: 2px;
  left: 50%;
  height: 3px;
  width: 30px;
  margin-left: -15px;
  position: absolute;
  border-top: 1px solid #cfcfcf;
}
.quickhelp {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
  line-height: 1.8em;
}
.shortcut_key {
  display: inline-block;
  width: 21ex;
  text-align: right;
  font-family: monospace;
}
.shortcut_descr {
  display: inline-block;
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
}
span.save_widget {
  margin-top: 6px;
}
span.save_widget span.filename {
  height: 1em;
  line-height: 1em;
  padding: 3px;
  margin-left: 16px;
  border: none;
  font-size: 146.5%;
  border-radius: 2px;
}
span.save_widget span.filename:hover {
  background-color: #e6e6e6;
}
span.checkpoint_status,
span.autosave_status {
  font-size: small;
}
@media (max-width: 767px) {
  span.save_widget {
    font-size: small;
  }
  span.checkpoint_status,
  span.autosave_status {
    display: none;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  span.checkpoint_status {
    display: none;
  }
  span.autosave_status {
    font-size: x-small;
  }
}
.toolbar {
  padding: 0px;
  margin-left: -5px;
  margin-top: 2px;
  margin-bottom: 5px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
.toolbar select,
.toolbar label {
  width: auto;
  vertical-align: middle;
  margin-right: 2px;
  margin-bottom: 0px;
  display: inline;
  font-size: 92%;
  margin-left: 0.3em;
  margin-right: 0.3em;
  padding: 0px;
  padding-top: 3px;
}
.toolbar .btn {
  padding: 2px 8px;
}
.toolbar .btn-group {
  margin-top: 0px;
  margin-left: 5px;
}
#maintoolbar {
  margin-bottom: -3px;
  margin-top: -8px;
  border: 0px;
  min-height: 27px;
  margin-left: 0px;
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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">sympy</span> <span class="k">as</span> <span class="nn">sp</span>
<span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
<span class="kn">from</span> <span class="nn">moments</span> <span class="k">import</span> <span class="o">*</span>
<span class="kn">from</span> <span class="nn">maxwellian_equilibrium</span> <span class="k">import</span> <span class="o">*</span>
<span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span>

<span class="k">def</span> <span class="nf">plotSympyFunction</span><span class="p">(</span><span class="n">f</span><span class="p">,</span> <span class="n">var</span><span class="p">,</span> <span class="n">bounds</span><span class="p">,</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">):</span>
    <span class="n">xArr</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="n">bounds</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="n">bounds</span><span class="p">[</span><span class="mi">1</span><span class="p">],</span> <span class="mi">101</span><span class="p">)</span>
    <span class="n">yArr</span> <span class="o">=</span> <span class="n">sp</span><span class="o">.</span><span class="n">lambdify</span><span class="p">(</span><span class="n">var</span><span class="p">,</span> <span class="n">f</span><span class="p">)(</span><span class="n">xArr</span><span class="p">)</span>
    <span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">xArr</span><span class="p">,</span> <span class="n">yArr</span><span class="p">,</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">)</span>
    <span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="n">var</span><span class="o">.</span><span class="n">name</span><span class="p">)</span>

<span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">,</span> <span class="n">z</span><span class="p">,</span> <span class="n">ζ</span> <span class="o">=</span> <span class="n">sp</span><span class="o">.</span><span class="n">symbols</span><span class="p">(</span><span class="s2">&quot;x y z ζ&quot;</span><span class="p">)</span>
<span class="n">frac</span> <span class="o">=</span> <span class="n">sp</span><span class="o">.</span><span class="n">Rational</span>

<span class="o">%</span><span class="k">matplotlib</span> inline
<span class="n">sp</span><span class="o">.</span><span class="n">init_printing</span><span class="p">()</span>
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<h1 id="Construction-of-improved-D3Q19-equilibria">Construction of improved D3Q19 equilibria<a class="anchor-link" href="#Construction-of-improved-D3Q19-equilibria">&#182;</a></h1><p>This notebook demonstrates the construction technique of discrete lattice Boltzmann equilibria 
by matching moments of the continuous Maxwellian equilibrium. All steps are implemented in short Python snippets, so that the process can be easily generalized for different stencils or approximation orders if the notebook is run interactively.</p>
<p>The connection between a (lattice) Boltzmann equation to its macroscopic counterpart, the Navier Stokes equations (NSE), can be seen by a Chapman-Enskog expansion. 
The LB equilibrium does not enter the Chapman Enskog analysis directly, only via its moments. 
The idea of our LB equilibrium construction technique is, that if we only approximate the continuous Maxwellian equilibrium, and especially its moments good enough, we are modeling the microscopic system behavior sufficiently accurate, such that in the macroscopic limit the NSE are obtained.</p>
<h2 id="1)-Moments-of-continuous-Maxwellian-equilibrium">1) Moments of continuous Maxwellian equilibrium<a class="anchor-link" href="#1)-Moments-of-continuous-Maxwellian-equilibrium">&#182;</a></h2><p>Lets first have a look at the continuous Maxwellian equilibrium and how we can compute moments of it using the symbolic algebra toolkit <code>sympy</code>.</p>
<p>We can obtain the Maxwellian equilibrium using a function that is part of the <code>maxwellian_equilibrium.py</code> file. It is parametrized with the local density $\rho$, macroscopic velocity $u$ and the speed of sound $c_s$ that is a measure of the temperature.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">continuousMaxwellianEquilibrium</span><span class="p">(</span><span class="n">dim</span><span class="o">=</span><span class="mi">3</span><span class="p">)</span>
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$$\frac{\sqrt{2} \rho}{4 \pi^{\frac{3}{2}} \left(c_{s}^{2}\right)^{\frac{3}{2}}} e^{\frac{1}{2 c_{s}^{2}} \left(- \left(- u_{0} + ζ_{0}\right)^{2} - \left(- u_{1} + ζ_{1}\right)^{2} - \left(- u_{2} + ζ_{2}\right)^{2}\right)}$$
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<p>Lets visualize the 1D version of this distribution:</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plotSympyFunction</span><span class="p">(</span><span class="n">continuousMaxwellianEquilibrium</span><span class="p">(</span><span class="n">dim</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span> <span class="n">rho</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span> <span class="n">u</span><span class="o">=</span><span class="p">(</span><span class="mi">1</span><span class="p">,),</span> <span class="n">ζ</span><span class="o">=</span><span class="p">(</span><span class="n">ζ</span><span class="p">,),</span> <span class="n">c_s_sq</span><span class="o">=</span><span class="mi">1</span><span class="p">),</span>
                  <span class="n">ζ</span><span class="p">,</span> <span class="n">bounds</span><span class="o">=</span><span class="p">(</span><span class="o">-</span><span class="mi">5</span><span class="p">,</span> <span class="mi">5</span><span class="p">),</span>
                  <span class="n">label</span><span class="o">=</span><span class="s1">&#39;u=1, $c_s$=1&#39;</span><span class="p">)</span>
<span class="n">plotSympyFunction</span><span class="p">(</span><span class="n">continuousMaxwellianEquilibrium</span><span class="p">(</span><span class="n">dim</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span> <span class="n">rho</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span> <span class="n">u</span><span class="o">=</span><span class="p">(</span><span class="mi">0</span><span class="p">,),</span> <span class="n">ζ</span><span class="o">=</span><span class="p">(</span><span class="n">ζ</span><span class="p">,),</span> <span class="n">c_s_sq</span><span class="o">=</span><span class="mi">4</span><span class="p">),</span>
                  <span class="n">ζ</span><span class="p">,</span> <span class="n">bounds</span><span class="o">=</span><span class="p">(</span><span class="o">-</span><span class="mi">5</span><span class="p">,</span> <span class="mi">5</span><span class="p">),</span>
                  <span class="n">label</span><span class="o">=</span><span class="s1">&#39;u=0, $c_s$=2&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">legend</span><span class="p">();</span>
</pre></div>

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<p>The continuous equilibrium is a Gaussian bell curve, with mean $u$ and variance related to the speed of sound $c_s$.</p>
<p>The moments of the distribution are integrals over the microscopic velocity $\xi$ over the complete velocity space. <code>sympy</code> can evaluate these integrals for us, as can be seen in the next cell with a 1D example.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># sympy needs some additional information about c_s to do the integral i.e. that its real and positive</span>
<span class="n">c_s_sq</span> <span class="o">=</span> <span class="n">sp</span><span class="o">.</span><span class="n">Symbol</span><span class="p">(</span><span class="s2">&quot;c_s&quot;</span><span class="p">,</span> <span class="n">real</span><span class="o">=</span><span class="kc">True</span><span class="p">,</span> <span class="n">positive</span><span class="o">=</span><span class="kc">True</span><span class="p">)</span> <span class="o">**</span> <span class="mi">2</span>   

<span class="n">integral</span> <span class="o">=</span> <span class="n">sp</span><span class="o">.</span><span class="n">Integral</span><span class="p">(</span><span class="n">continuousMaxwellianEquilibrium</span><span class="p">(</span><span class="n">dim</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span> <span class="n">ζ</span><span class="o">=</span><span class="p">(</span><span class="n">ζ</span><span class="p">,),</span> <span class="n">c_s_sq</span><span class="o">=</span><span class="n">c_s_sq</span><span class="p">),</span> 
                       <span class="p">(</span><span class="n">ζ</span><span class="p">,</span> <span class="o">-</span><span class="n">sp</span><span class="o">.</span><span class="n">oo</span><span class="p">,</span> <span class="n">sp</span><span class="o">.</span><span class="n">oo</span><span class="p">))</span>
<span class="n">integral</span>
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$$\int_{-\infty}^{\infty} \frac{\sqrt{2} \rho}{2 \sqrt{\pi} c_{s}} e^{- \frac{\left(- u_{0} + ζ\right)^{2}}{2 c_{s}^{2}}}\, dζ$$
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">sp</span><span class="o">.</span><span class="n">simplify</span><span class="p">(</span><span class="n">integral</span><span class="o">.</span><span class="n">doit</span><span class="p">())</span>
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$$\rho$$
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<p>In 1D, continuous moments are defined as:</p>
<p>$$ \int \xi^n f(\xi) \, dx$$</p>
<p>where $n$ is the order of the moment. Since the distribution function is not normalized to 1 but to $\rho$ the first moment is the expected value times $\rho$:</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">sp</span><span class="o">.</span><span class="n">integrate</span><span class="p">(</span><span class="n">ζ</span> <span class="o">*</span> <span class="n">continuousMaxwellianEquilibrium</span><span class="p">(</span><span class="n">dim</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span> <span class="n">ζ</span><span class="o">=</span><span class="p">(</span><span class="n">ζ</span><span class="p">,),</span> <span class="n">c_s_sq</span><span class="o">=</span><span class="n">c_s_sq</span><span class="p">),</span> 
             <span class="p">(</span><span class="n">ζ</span><span class="p">,</span> <span class="o">-</span><span class="n">sp</span><span class="o">.</span><span class="n">oo</span><span class="p">,</span> <span class="n">sp</span><span class="o">.</span><span class="n">oo</span><span class="p">))</span><span class="o">.</span><span class="n">simplify</span><span class="p">()</span>
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$$\rho u_{0}$$
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<p>In the following we will use the function <code>getMomentsOfContinuousMaxwellianEquilibrium</code> that can do these integrals in a fast and reliable way. We specify moments via polynomials in $x,y,z$ (standing shorthand for $ξ_x, ξ_y, ξ_z$), where $1$ is the zeroth moment, $x$ the first moment (in 1D), $x^2$ the second moment, etc.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># again, compute zeroth and first moment of 1D Maxwellian</span>
<span class="n">getMomentsOfContinuousMaxwellianEquilibrium</span><span class="p">([</span><span class="mi">1</span><span class="p">,</span> <span class="n">x</span><span class="p">,</span> <span class="n">x</span><span class="o">**</span><span class="mi">2</span><span class="p">],</span> <span class="n">dim</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span>
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$$\left [ \rho, \quad \rho u_{0}, \quad \rho \left(c_{s}^{2} + u_{0}^{2}\right)\right ]$$
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<p>These concepts generalize naturally to multiple dimensions. In the next cell, for example, we compute moments of the 3D Maxwellian. We can not only specify monomials, but arbitrary polynomials $P(v_x,v_y,v_z)$, so the function computes</p>
<p>$$ \int P(ξ_x, ξ_y, ξ_z) \; f(ξ_x, ξ_y, ξ_z) \, dξ $$</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">getMomentsOfContinuousMaxwellianEquilibrium</span><span class="p">([</span><span class="mi">1</span><span class="p">,</span> <span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">,</span> <span class="n">z</span><span class="p">,</span> <span class="n">x</span><span class="o">**</span><span class="mi">2</span> <span class="o">+</span> <span class="n">y</span><span class="o">**</span><span class="mi">2</span><span class="p">],</span> <span class="n">dim</span><span class="o">=</span><span class="mi">3</span><span class="p">)</span>
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$$\left [ \rho, \quad \rho u_{0}, \quad \rho u_{1}, \quad \rho u_{2}, \quad \rho \left(c_{s}^{2} + u_{0}^{2}\right) + \rho \left(c_{s}^{2} + u_{1}^{2}\right)\right ]$$
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<p>Moments of the distribution function have direct physical meaning, the zeroth moment being the local density, the first moments the macroscopic velocity. Higher order moments can be interpreted as fluxes where for example the moment $(\xi_x^2 + \xi_y^2 + \xi_z^2) \xi_x$ is related to the transport of energy along the $x$ axis.</p>
<p><strong>Truncating higher orders in $u$</strong></p>
<p>To approximate the NSE, we only have to get the moments right up to a certain order in $u$. Therefor the <code>getMomentsOfContinuousMaxwellianEquilibrium</code> can truncate the result at a given order.</p>
<p>The following cell shows this, by first computing the exact moment, then a truncated version.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">exact</span> <span class="o">=</span> <span class="n">getMomentsOfContinuousMaxwellianEquilibrium</span><span class="p">([</span><span class="n">x</span><span class="o">**</span><span class="mi">4</span><span class="p">],</span> <span class="n">dim</span><span class="o">=</span><span class="mi">3</span><span class="p">)[</span><span class="mi">0</span><span class="p">]</span>
<span class="n">truncated</span> <span class="o">=</span> <span class="n">getMomentsOfContinuousMaxwellianEquilibrium</span><span class="p">([</span><span class="n">x</span><span class="o">**</span><span class="mi">4</span><span class="p">],</span> <span class="n">dim</span><span class="o">=</span><span class="mi">3</span><span class="p">,</span> <span class="n">order</span><span class="o">=</span><span class="mi">3</span><span class="p">)[</span><span class="mi">0</span><span class="p">]</span>
<span class="n">exact</span><span class="o">.</span><span class="n">expand</span><span class="p">(),</span> <span class="n">truncated</span>
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$$\left ( 3 c_{s}^{4} \rho + 6 c_{s}^{2} \rho u_{0}^{2} + \rho u_{0}^{4}, \quad 3 c_{s}^{4} \rho + 6 c_{s}^{2} \rho u_{0}^{2}\right )$$
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<h2 id="2)-Moments-of-discrete-distribution-functions">2) Moments of discrete distribution functions<a class="anchor-link" href="#2)-Moments-of-discrete-distribution-functions">&#182;</a></h2><p>Discrete lattice Boltzmann equilibria can be constructed by projecting the Maxwellian equilibrium onto a Hermite subspace.</p>
<p>The projection up to second or third order reads</p>
<p>$$
f^{(eq)}_q =  w_i \rho + w_i \rho<em>0<br>
                     \left[  3 
                     c</em>{qα} u_α</p>

<pre><code>                          + \underbrace{  \frac{9}{2} u_α u_β (c_{qα} c_{qβ} - \frac{1}{3} \delta_{αβ})  }_{\mbox{2nd order}}
                          + \underbrace{  \frac{9}{2} \left( u_α u_β u_γ ( c_{qα} c_{qβ} c_{qγ} - \frac{1}{3} c_{qα} \delta_{βγ} )  \right) }_{\mbox{3rd order}}
                 \right]
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<p>$$</p>
<p>where $\rho_0=\rho$ yields the standard compressible equilibrium and $\rho_0=1$ an equilibrium that approximates the incompressible NSE. This formula is implemented in the function <code>discreteMaxwellianEquilibrium</code>. To get discrete equilibria, additionally a discrete velocity set (stencil) is required. We define the commonly used single speed stencils D2Q9, D3Q19 and D3Q27 in the next cell.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">D2Q9</span> <span class="o">=</span><span class="p">((</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span>
       <span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span>
       <span class="p">(</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">))</span>
<span class="n">D3Q19</span> <span class="o">=</span> <span class="p">((</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span>
        <span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="p">(</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">),</span>
        <span class="p">(</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="p">(</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span>
        <span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">),</span>
        <span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">))</span>
<span class="n">D3Q27</span> <span class="o">=</span> <span class="p">((</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span>
         <span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="p">(</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">),</span>
         <span class="p">(</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="p">(</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span>
         <span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">),</span>
         <span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">),</span>
         <span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">))</span>
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<p>The discrete equilibrium is then a vector of equations, one for each direction. The next cell demonstrates this for a compressible D2Q9 equilibrium of second order. The left column shows the stencil direction, the right column the equilibrium term.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">eq</span> <span class="o">=</span> <span class="n">discreteMaxwellianEquilibrium</span><span class="p">(</span><span class="n">stencil</span><span class="o">=</span><span class="n">D2Q9</span><span class="p">,</span> <span class="n">compressible</span><span class="o">=</span><span class="kc">True</span><span class="p">,</span> <span class="n">order</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span>
<span class="n">sp</span><span class="o">.</span><span class="n">Matrix</span><span class="p">([</span><span class="n">D2Q9</span><span class="p">,</span> <span class="n">eq</span><span class="p">])</span><span class="o">.</span><span class="n">T</span>
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$$\left[\begin{matrix}\left ( 0, \quad 0\right ) & \frac{4 \rho}{9} \left(- \frac{3 u_{0}^{2}}{2} - \frac{3 u_{1}^{2}}{2} + 1\right)\\\left ( 0, \quad 1\right ) & \frac{\rho}{9} \left(- \frac{3 u_{0}^{2}}{2} + 3 u_{1}^{2} + 3 u_{1} + 1\right)\\\left ( 0, \quad -1\right ) & \frac{\rho}{9} \left(- \frac{3 u_{0}^{2}}{2} + 3 u_{1}^{2} - 3 u_{1} + 1\right)\\\left ( -1, \quad 0\right ) & \frac{\rho}{9} \left(3 u_{0}^{2} - 3 u_{0} - \frac{3 u_{1}^{2}}{2} + 1\right)\\\left ( 1, \quad 0\right ) & \frac{\rho}{9} \left(3 u_{0}^{2} + 3 u_{0} - \frac{3 u_{1}^{2}}{2} + 1\right)\\\left ( -1, \quad 1\right ) & \frac{\rho}{36} \left(- \frac{3 u_{0}^{2}}{2} - 3 u_{0} - \frac{3 u_{1}^{2}}{2} + 3 u_{1} + \frac{9}{2} \left(- u_{0} + u_{1}\right)^{2} + 1\right)\\\left ( 1, \quad 1\right ) & \frac{\rho}{36} \left(- \frac{3 u_{0}^{2}}{2} + 3 u_{0} - \frac{3 u_{1}^{2}}{2} + 3 u_{1} + \frac{9}{2} \left(u_{0} + u_{1}\right)^{2} + 1\right)\\\left ( -1, \quad -1\right ) & \frac{\rho}{36} \left(- \frac{3 u_{0}^{2}}{2} - 3 u_{0} - \frac{3 u_{1}^{2}}{2} - 3 u_{1} + \frac{9}{2} \left(- u_{0} - u_{1}\right)^{2} + 1\right)\\\left ( 1, \quad -1\right ) & \frac{\rho}{36} \left(- \frac{3 u_{0}^{2}}{2} + 3 u_{0} - \frac{3 u_{1}^{2}}{2} - 3 u_{1} + \frac{9}{2} \left(u_{0} - u_{1}\right)^{2} + 1\right)\end{matrix}\right]$$
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<p><strong>Computing discrete moments</strong></p>
<p>Moments of a discrete particle distribution function are computed as weighted sums. This is analogous to the continuous case where integrals are used. For example, to compute the moment $\Pi_{001}$ i.e. $ξ_x^2  ξ_y$ on a continuous distribution function we would evaluate</p>
<p>$$ \int ξ_x^2  ξ_y \; f \; dξ $$</p>
<p>whereas in the discrete case the expression for a stencil $S$ is</p>
<p>$$ \sum_{c_q \in S} c_{qx}^2 c_{qy} \; f_q $$</p>
<p>Implemented in Python this is:</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">feq</span> <span class="o">=</span> <span class="n">discreteMaxwellianEquilibrium</span><span class="p">(</span><span class="n">stencil</span><span class="o">=</span><span class="n">D2Q9</span><span class="p">,</span> <span class="n">compressible</span><span class="o">=</span><span class="kc">True</span><span class="p">,</span> <span class="n">order</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span>

<span class="nb">sum</span><span class="p">(</span><span class="n">c_q</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span><span class="o">**</span><span class="mi">2</span> <span class="o">*</span> <span class="n">c_q</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="o">*</span> <span class="n">f_q</span>  
    <span class="k">for</span> <span class="n">c_q</span><span class="p">,</span> <span class="n">f_q</span> <span class="ow">in</span> <span class="nb">zip</span><span class="p">(</span><span class="n">D2Q9</span><span class="p">,</span> <span class="n">feq</span><span class="p">))</span><span class="o">.</span><span class="n">simplify</span><span class="p">()</span>
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$$\frac{\rho u_{1}}{3}$$
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<p>For the discrete case there is also a faster, more convenient function available:</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">getMomentsOfDiscreteMaxwellianEquilibrium</span><span class="p">(</span><span class="n">D2Q9</span><span class="p">,</span> <span class="p">[</span><span class="n">x</span><span class="o">**</span><span class="mi">2</span> <span class="o">*</span> <span class="n">y</span><span class="p">],</span> <span class="n">compressible</span><span class="o">=</span><span class="kc">True</span><span class="p">,</span> <span class="n">order</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span>
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$$\left ( \frac{\rho u_{1}}{3}\right )$$
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<p><strong>Moment aliasing</strong></p>
<p>For single speed models, aliasing effects occur when computing discrete moments. 
As an example consider the moment $ξ_0^3 = ξ_0 ξ_0^2$.</p>
<p>Since $ξ_x \in \{-1, 0, 1\}$ for single speed models, the factor $ξ_0^2=1$ for all possible values. That means we get the same result for moments with odd exponent $ξ_0, ξ_0^3, ξ_0^5, ...$.</p>
<p>Similarly the moments $ξ_0^2, ξ_0^4, ξ_0^6, ...$ have the same value.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">getMomentsOfDiscreteMaxwellianEquilibrium</span><span class="p">(</span><span class="n">D2Q9</span><span class="p">,</span> <span class="p">[</span><span class="n">x</span><span class="o">**</span><span class="mi">1</span><span class="p">,</span> <span class="n">x</span><span class="o">**</span><span class="mi">3</span><span class="p">,</span> <span class="n">x</span><span class="o">**</span><span class="mi">5</span><span class="p">,</span> <span class="n">x</span><span class="o">**</span><span class="mi">7</span><span class="p">],</span> <span class="n">order</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span>
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$$\left ( \rho u_{0}, \quad \rho u_{0}, \quad \rho u_{0}, \quad \rho u_{0}\right )$$
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<p>Consequently there are maximally $d^3$ moments in $d$ dimensions that have different values. These are the moments $\xi_{0}^{e_0} \cdot \xi_{1}^{e_1} \cdots \xi_{d}^{e_d}$ with exponents $e_i \in \{0, 1, 2\}$.</p>
<p>In two dimensions these are the  moments</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">allIndependentMomentsD2Q9</span> <span class="o">=</span> <span class="n">exponentsToPolynomialRepresentations</span><span class="p">(</span><span class="n">momentsUpToComponentOrder</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="n">dim</span><span class="o">=</span><span class="mi">2</span><span class="p">))</span>
<span class="n">allIndependentMomentsD2Q9</span>
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$$\left ( 1, \quad y, \quad y^{2}, \quad x, \quad x y, \quad x y^{2}, \quad x^{2}, \quad x^{2} y, \quad x^{2} y^{2}\right )$$
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<p>All higher order monomial moments share their value with one of these lower order moments. The are "aliased" and not independent.</p>

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<h2 id="3)-Comparing-moments-of-continuous-and-discrete-equilibrium">3) Comparing moments of continuous and discrete equilibrium<a class="anchor-link" href="#3)-Comparing-moments-of-continuous-and-discrete-equilibrium">&#182;</a></h2>
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<p>Lets first consider the case of stencils with "full" neighborhood, namely D2Q9 and D3Q27.
A discrete distribution function on these stencils has 9 or 27 values. There are also 9 or 27
independent moments that can take on different values.</p>
<p>Now lets compare the moments of the discrete and the continuous equilibrium.
Since the discrete equilibrium was derived as a projection of the continuous Maxwellian equilibrium we expect that at least all moments up to order 2 are equal.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">indepMoments2D</span> <span class="o">=</span> <span class="n">exponentsToPolynomialRepresentations</span><span class="p">(</span><span class="n">momentsUpToComponentOrder</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="n">dim</span><span class="o">=</span><span class="mi">2</span><span class="p">))</span>

<span class="n">discreteEqMomentsD2Q9</span> <span class="o">=</span> <span class="n">getMomentsOfDiscreteMaxwellianEquilibrium</span><span class="p">(</span><span class="n">D2Q9</span><span class="p">,</span> <span class="n">indepMoments2D</span><span class="p">,</span> <span class="n">compressible</span><span class="o">=</span><span class="kc">True</span><span class="p">,</span> <span class="n">order</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span>
<span class="n">contEqMoments2D</span> <span class="o">=</span> <span class="n">getMomentsOfContinuousMaxwellianEquilibrium</span><span class="p">(</span><span class="n">indepMoments2D</span><span class="p">,</span> <span class="n">dim</span><span class="o">=</span><span class="mi">2</span><span class="p">,</span> <span class="n">order</span><span class="o">=</span><span class="mi">2</span><span class="p">,</span> <span class="n">c_s_sq</span><span class="o">=</span><span class="n">frac</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">3</span><span class="p">))</span>

<span class="n">sp</span><span class="o">.</span><span class="n">Matrix</span><span class="p">([</span><span class="n">indepMoments2D</span><span class="p">,</span> <span class="n">discreteEqMomentsD2Q9</span><span class="p">,</span> <span class="n">contEqMoments2D</span><span class="p">])</span><span class="o">.</span><span class="n">T</span>
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$$\left[\begin{matrix}1 & \rho & \rho\\y & \rho u_{1} & \rho u_{1}\\y^{2} & \rho u_{1}^{2} + \frac{\rho}{3} & \rho u_{1}^{2} + \frac{\rho}{3}\\x & \rho u_{0} & \rho u_{0}\\x y & \rho u_{0} u_{1} & \rho u_{0} u_{1}\\x y^{2} & \frac{\rho u_{0}}{3} & \frac{\rho u_{0}}{3}\\x^{2} & \rho u_{0}^{2} + \frac{\rho}{3} & \rho u_{0}^{2} + \frac{\rho}{3}\\x^{2} y & \frac{\rho u_{1}}{3} & \frac{\rho u_{1}}{3}\\x^{2} y^{2} & \frac{\rho u_{0}^{2}}{3} + \frac{\rho u_{1}^{2}}{3} + \frac{\rho}{9} & \frac{\rho u_{0}^{2}}{3} + \frac{\rho u_{1}^{2}}{3} + \frac{\rho}{9}\end{matrix}\right]$$
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<p>The first column shows the moment, the second column the discrete equilibrium moment and the last column the continuous equilibrium moment. Not only the moments up to second order agree (as was guaranteed by the Hermite construction), but also higher order moments like the forth order moment $x^2 y^2$.</p>
<p>A Chapman Enskog analysis shows that the NSE are approximated regardless of forth (or higher) order equilibrium moment values. Only the error terms are affected.</p>
<p>The same check is done for three dimensions with the D3Q27 stencil in the next cell.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">indepMoments3D</span> <span class="o">=</span> <span class="n">exponentsToPolynomialRepresentations</span><span class="p">(</span><span class="n">momentsUpToComponentOrder</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="n">dim</span><span class="o">=</span><span class="mi">3</span><span class="p">))</span>

<span class="n">discreteEqMomentsD3Q27</span> <span class="o">=</span> <span class="n">getMomentsOfDiscreteMaxwellianEquilibrium</span><span class="p">(</span><span class="n">D3Q27</span><span class="p">,</span> <span class="n">indepMoments3D</span><span class="p">,</span> <span class="n">compressible</span><span class="o">=</span><span class="kc">True</span><span class="p">,</span> <span class="n">order</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span>
<span class="n">contEqMoments3D</span> <span class="o">=</span> <span class="n">getMomentsOfContinuousMaxwellianEquilibrium</span><span class="p">(</span><span class="n">indepMoments3D</span><span class="p">,</span> <span class="n">dim</span><span class="o">=</span><span class="mi">3</span><span class="p">,</span> <span class="n">order</span><span class="o">=</span><span class="mi">2</span><span class="p">,</span> <span class="n">c_s_sq</span><span class="o">=</span><span class="n">frac</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">3</span><span class="p">))</span>

<span class="n">sp</span><span class="o">.</span><span class="n">Matrix</span><span class="p">([</span><span class="n">indepMoments3D</span><span class="p">,</span> <span class="n">discreteEqMomentsD3Q27</span><span class="p">,</span> <span class="n">contEqMoments3D</span><span class="p">])</span><span class="o">.</span><span class="n">T</span>
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$$\left[\begin{matrix}1 & \rho & \rho\\z & \rho u_{2} & \rho u_{2}\\z^{2} & \rho u_{2}^{2} + \frac{\rho}{3} & \rho u_{2}^{2} + \frac{\rho}{3}\\y & \rho u_{1} & \rho u_{1}\\y z & \rho u_{1} u_{2} & \rho u_{1} u_{2}\\y z^{2} & \frac{\rho u_{1}}{3} & \frac{\rho u_{1}}{3}\\y^{2} & \rho u_{1}^{2} + \frac{\rho}{3} & \rho u_{1}^{2} + \frac{\rho}{3}\\y^{2} z & \frac{\rho u_{2}}{3} & \frac{\rho u_{2}}{3}\\y^{2} z^{2} & \frac{\rho u_{1}^{2}}{3} + \frac{\rho u_{2}^{2}}{3} + \frac{\rho}{9} & \frac{\rho u_{1}^{2}}{3} + \frac{\rho u_{2}^{2}}{3} + \frac{\rho}{9}\\x & \rho u_{0} & \rho u_{0}\\x z & \rho u_{0} u_{2} & \rho u_{0} u_{2}\\x z^{2} & \frac{\rho u_{0}}{3} & \frac{\rho u_{0}}{3}\\x y & \rho u_{0} u_{1} & \rho u_{0} u_{1}\\x y z & 0 & 0\\x y z^{2} & \frac{\rho u_{0}}{3} u_{1} & \frac{\rho u_{0}}{3} u_{1}\\x y^{2} & \frac{\rho u_{0}}{3} & \frac{\rho u_{0}}{3}\\x y^{2} z & \frac{\rho u_{0}}{3} u_{2} & \frac{\rho u_{0}}{3} u_{2}\\x y^{2} z^{2} & \frac{\rho u_{0}}{9} & \frac{\rho u_{0}}{9}\\x^{2} & \rho u_{0}^{2} + \frac{\rho}{3} & \rho u_{0}^{2} + \frac{\rho}{3}\\x^{2} z & \frac{\rho u_{2}}{3} & \frac{\rho u_{2}}{3}\\x^{2} z^{2} & \frac{\rho u_{0}^{2}}{3} + \frac{\rho u_{2}^{2}}{3} + \frac{\rho}{9} & \frac{\rho u_{0}^{2}}{3} + \frac{\rho u_{2}^{2}}{3} + \frac{\rho}{9}\\x^{2} y & \frac{\rho u_{1}}{3} & \frac{\rho u_{1}}{3}\\x^{2} y z & \frac{\rho u_{1}}{3} u_{2} & \frac{\rho u_{1}}{3} u_{2}\\x^{2} y z^{2} & \frac{\rho u_{1}}{9} & \frac{\rho u_{1}}{9}\\x^{2} y^{2} & \frac{\rho u_{0}^{2}}{3} + \frac{\rho u_{1}^{2}}{3} + \frac{\rho}{9} & \frac{\rho u_{0}^{2}}{3} + \frac{\rho u_{1}^{2}}{3} + \frac{\rho}{9}\\x^{2} y^{2} z & \frac{\rho u_{2}}{9} & \frac{\rho u_{2}}{9}\\x^{2} y^{2} z^{2} & \frac{\rho u_{0}^{2}}{9} + \frac{\rho u_{1}^{2}}{9} + \frac{\rho u_{2}^{2}}{9} + \frac{\rho}{27} & \frac{\rho u_{0}^{2}}{9} + \frac{\rho u_{1}^{2}}{9} + \frac{\rho u_{2}^{2}}{9} + \frac{\rho}{27}\end{matrix}\right]$$
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<p>Again all discrete moments have the same values as their continuous counterparts.</p>
<p>Note that we have truncated the continuous moments at order 2 in $u$ to get this perfect agreement. 
Similarly we would get perfect agreement if we use the 3rd order discrete equilibrium and truncate the continuous moments at order 3.</p>
<p>To switch off truncation, choose <code>order=None</code> when calling <code>getMomentsOfContinuousMaxwellianEquilibrium</code>.</p>

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<p><strong>Constructing equilibra from moments</strong></p>
<p>The fact that discrete and continuous equilibrium moments agree, can be used to construct discrete equilibria. For the velocity sets D2Q9 and D3Q27 there are 9 or 27 degrees of freedom and the same number of independent moments. The moment matrix $M$ that transforms between the spatial representation and the moment representation is invertible. Thus if we pick 9 or 27 equilibrium moments we can construct a unique equilibrium.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">M_D2Q9</span> <span class="o">=</span> <span class="n">momentMatrix</span><span class="p">(</span><span class="n">moments</span><span class="o">=</span><span class="n">indepMoments2D</span><span class="p">,</span> <span class="n">stencil</span><span class="o">=</span><span class="n">D2Q9</span><span class="p">)</span>
<span class="k">assert</span> <span class="n">M_D2Q9</span><span class="o">.</span><span class="n">det</span><span class="p">()</span> <span class="o">!=</span> <span class="mi">0</span><span class="p">,</span> <span class="s2">&quot;Determinant of moment matrix is zero - not invertible&quot;</span>
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$$\left[\begin{matrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1\\0 & 1 & -1 & 0 & 0 & 1 & 1 & -1 & -1\\0 & 1 & 1 & 0 & 0 & 1 & 1 & 1 & 1\\0 & 0 & 0 & -1 & 1 & -1 & 1 & -1 & 1\\0 & 0 & 0 & 0 & 0 & -1 & 1 & 1 & -1\\0 & 0 & 0 & 0 & 0 & -1 & 1 & -1 & 1\\0 & 0 & 0 & 1 & 1 & 1 & 1 & 1 & 1\\0 & 0 & 0 & 0 & 0 & 1 & 1 & -1 & -1\\0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 1\end{matrix}\right]$$
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<p>Now the discrete equilibrium can be derived as $M^{-1} m_{eq}$ where $m_{eq}$ are moment of the continuous Maxwellian.</p>

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<span class="n">newlyConstructedEq</span> <span class="o">=</span> <span class="n">M_D2Q9</span><span class="o">.</span><span class="n">inv</span><span class="p">()</span> <span class="o">*</span> <span class="n">sp</span><span class="o">.</span><span class="n">Matrix</span><span class="p">(</span><span class="n">m_eq</span><span class="p">)</span>

<span class="c1"># Compare newly constructed equilibrium to standard discrete equilibrium from literature - has to be the same</span>
<span class="n">discreteEq</span> <span class="o">=</span> <span class="n">discreteMaxwellianEquilibrium</span><span class="p">(</span><span class="n">stencil</span><span class="o">=</span><span class="n">D2Q9</span><span class="p">,</span> <span class="n">compressible</span><span class="o">=</span><span class="kc">True</span><span class="p">,</span> <span class="n">order</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span>
<span class="k">assert</span> <span class="n">sp</span><span class="o">.</span><span class="n">simplify</span><span class="p">(</span><span class="n">newlyConstructedEq</span> <span class="o">-</span> <span class="n">sp</span><span class="o">.</span><span class="n">Matrix</span><span class="p">(</span><span class="n">discreteEq</span><span class="p">))</span> <span class="o">==</span> <span class="n">sp</span><span class="o">.</span><span class="n">Matrix</span><span class="p">([</span><span class="mi">0</span><span class="p">]</span><span class="o">*</span><span class="mi">9</span><span class="p">)</span>

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$$\left[\begin{matrix}- \frac{2 \rho}{3} u_{0}^{2} - \frac{2 \rho}{3} u_{1}^{2} + \frac{4 \rho}{9}\\- \frac{\rho u_{0}^{2}}{6} + \frac{\rho u_{1}^{2}}{3} + \frac{\rho u_{1}}{3} + \frac{\rho}{9}\\- \frac{\rho u_{0}^{2}}{6} + \frac{\rho u_{1}^{2}}{3} - \frac{\rho u_{1}}{3} + \frac{\rho}{9}\\\frac{\rho u_{0}^{2}}{3} - \frac{\rho u_{0}}{3} - \frac{\rho u_{1}^{2}}{6} + \frac{\rho}{9}\\\frac{\rho u_{0}^{2}}{3} + \frac{\rho u_{0}}{3} - \frac{\rho u_{1}^{2}}{6} + \frac{\rho}{9}\\\frac{\rho u_{0}^{2}}{12} - \frac{\rho u_{0}}{4} u_{1} - \frac{\rho u_{0}}{12} + \frac{\rho u_{1}^{2}}{12} + \frac{\rho u_{1}}{12} + \frac{\rho}{36}\\\frac{\rho u_{0}^{2}}{12} + \frac{\rho u_{0}}{4} u_{1} + \frac{\rho u_{0}}{12} + \frac{\rho u_{1}^{2}}{12} + \frac{\rho u_{1}}{12} + \frac{\rho}{36}\\\frac{\rho u_{0}^{2}}{12} + \frac{\rho u_{0}}{4} u_{1} - \frac{\rho u_{0}}{12} + \frac{\rho u_{1}^{2}}{12} - \frac{\rho u_{1}}{12} + \frac{\rho}{36}\\\frac{\rho u_{0}^{2}}{12} - \frac{\rho u_{0}}{4} u_{1} + \frac{\rho u_{0}}{12} + \frac{\rho u_{1}^{2}}{12} - \frac{\rho u_{1}}{12} + \frac{\rho}{36}\end{matrix}\right]$$
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<p>As expected, we obtain the same standard discrete equilibrium, which is usually derived using a Hermite projection approach. For the D2Q9 and D3Q27 stencils our moment matching approach leads to the same results.
In contrast to the Hermite approach, our moment matching technique can be implemented in <em>sympy</em> in a very straightforward way.</p>

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<h2 id="4)-Improved-D3Q19-equilibrium">4) Improved D3Q19 equilibrium<a class="anchor-link" href="#4)-Improved-D3Q19-equilibrium">&#182;</a></h2><p>While for D2Q9 and D3Q27 our construction technique yields the same results as the standard equilibrium known from literature, a different result is obtained for the D3Q19 stencil.</p>
<p>First, one has to select 19 independent moments out of the possible 27. We use the same moment set used for D3Q19 MRT methods, that leaves out the following moments</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">exponentsToLeaveOut</span> <span class="o">=</span> <span class="p">[(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">2</span><span class="p">),</span> <span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">),</span> <span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">2</span><span class="p">),</span> <span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">)]</span>
<span class="n">exponentsToLeaveOut</span> <span class="o">=</span> <span class="n">extendMomentsWithPermutations</span><span class="p">(</span><span class="n">exponentsToLeaveOut</span><span class="p">)</span>
<span class="n">nonMatchedMoments</span> <span class="o">=</span> <span class="n">exponentsToPolynomialRepresentations</span><span class="p">(</span><span class="n">exponentsToLeaveOut</span><span class="p">)</span>
<span class="n">nonMatchedMoments</span>
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$$\left ( x y^{2} z^{2}, \quad x^{2} y z^{2}, \quad x^{2} y^{2} z, \quad x y z^{2}, \quad x y^{2} z, \quad x^{2} y z, \quad x^{2} y^{2} z^{2}, \quad x y z\right )$$
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<p>However, other moment selections are possible as well, as long as all second and third order moments, that are required to approximate the NSE, are not altered.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">d3q19moments</span> <span class="o">=</span> <span class="nb">tuple</span><span class="p">(</span><span class="nb">set</span><span class="p">(</span><span class="n">indepMoments3D</span><span class="p">)</span> <span class="o">-</span> <span class="nb">set</span><span class="p">(</span><span class="n">nonMatchedMoments</span><span class="p">))</span>
<span class="k">assert</span> <span class="nb">len</span><span class="p">(</span><span class="n">d3q19moments</span><span class="p">)</span> <span class="o">==</span> <span class="mi">19</span>
<span class="n">d3q19moments</span>
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$$\left ( 1, \quad y^{2}, \quad x^{2} z^{2}, \quad x, \quad y z, \quad x^{2} y^{2}, \quad y^{2} z^{2}, \quad y, \quad y z^{2}, \quad y^{2} z, \quad x^{2} z, \quad x y^{2}, \quad x z, \quad x^{2}, \quad x y, \quad z^{2}, \quad x z^{2}, \quad z, \quad x^{2} y\right )$$
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<p>To get our new equilibrium, we repeat the process outlined above for D2Q9, compute the moment values of the continuous equilibrium for these 19 moments, and transform them back with $M^{-1}$</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">d3q19_eq_moments</span> <span class="o">=</span> <span class="n">getMomentsOfContinuousMaxwellianEquilibrium</span><span class="p">(</span><span class="n">d3q19moments</span><span class="p">,</span> <span class="n">dim</span><span class="o">=</span><span class="mi">3</span><span class="p">,</span> <span class="n">order</span><span class="o">=</span><span class="mi">2</span><span class="p">,</span> <span class="n">c_s_sq</span><span class="o">=</span><span class="n">frac</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">3</span><span class="p">))</span>
<span class="n">M_D3Q19</span> <span class="o">=</span> <span class="n">momentMatrix</span><span class="p">(</span><span class="n">moments</span><span class="o">=</span><span class="n">d3q19moments</span><span class="p">,</span> <span class="n">stencil</span><span class="o">=</span><span class="n">D3Q19</span><span class="p">)</span>
<span class="n">improvedD3Q19</span> <span class="o">=</span> <span class="n">M_D3Q19</span><span class="o">.</span><span class="n">inv</span><span class="p">()</span> <span class="o">*</span> <span class="n">sp</span><span class="o">.</span><span class="n">Matrix</span><span class="p">(</span><span class="n">d3q19_eq_moments</span><span class="p">)</span>

<span class="n">standardD3Q19</span> <span class="o">=</span> <span class="n">sp</span><span class="o">.</span><span class="n">Matrix</span><span class="p">(</span><span class="n">discreteMaxwellianEquilibrium</span><span class="p">(</span><span class="n">D3Q19</span><span class="p">,</span> <span class="n">order</span><span class="o">=</span><span class="mi">2</span><span class="p">))</span><span class="o">.</span><span class="n">expand</span><span class="p">()</span>

<span class="n">sp</span><span class="o">.</span><span class="n">Matrix</span><span class="p">([</span><span class="n">D3Q19</span><span class="p">,</span> <span class="n">improvedD3Q19</span><span class="o">.</span><span class="n">T</span><span class="p">,</span> <span class="n">standardD3Q19</span><span class="o">.</span><span class="n">T</span><span class="p">])</span>
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$$\left[\begin{array}{ccccccccccccccccccc}\left ( 0, \quad 0, \quad 0\right ) & \left ( 0, \quad 1, \quad 0\right ) & \left ( 0, \quad -1, \quad 0\right ) & \left ( -1, \quad 0, \quad 0\right ) & \left ( 1, \quad 0, \quad 0\right ) & \left ( 0, \quad 0, \quad 1\right ) & \left ( 0, \quad 0, \quad -1\right ) & \left ( -1, \quad 1, \quad 0\right ) & \left ( 1, \quad 1, \quad 0\right ) & \left ( -1, \quad -1, \quad 0\right ) & \left ( 1, \quad -1, \quad 0\right ) & \left ( 0, \quad 1, \quad 1\right ) & \left ( 0, \quad -1, \quad 1\right ) & \left ( -1, \quad 0, \quad 1\right ) & \left ( 1, \quad 0, \quad 1\right ) & \left ( 0, \quad 1, \quad -1\right ) & \left ( 0, \quad -1, \quad -1\right ) & \left ( -1, \quad 0, \quad -1\right ) & \left ( 1, \quad 0, \quad -1\right )\\- \frac{\rho u_{0}^{2}}{3} - \frac{\rho u_{1}^{2}}{3} - \frac{\rho u_{2}^{2}}{3} + \frac{\rho}{3} & - \frac{\rho u_{0}^{2}}{6} + \frac{\rho u_{1}^{2}}{6} + \frac{\rho u_{1}}{6} - \frac{\rho u_{2}^{2}}{6} + \frac{\rho}{18} & - \frac{\rho u_{0}^{2}}{6} + \frac{\rho u_{1}^{2}}{6} - \frac{\rho u_{1}}{6} - \frac{\rho u_{2}^{2}}{6} + \frac{\rho}{18} & \frac{\rho u_{0}^{2}}{6} - \frac{\rho u_{0}}{6} - \frac{\rho u_{1}^{2}}{6} - \frac{\rho u_{2}^{2}}{6} + \frac{\rho}{18} & \frac{\rho u_{0}^{2}}{6} + \frac{\rho u_{0}}{6} - \frac{\rho u_{1}^{2}}{6} - \frac{\rho u_{2}^{2}}{6} + \frac{\rho}{18} & - \frac{\rho u_{0}^{2}}{6} - \frac{\rho u_{1}^{2}}{6} + \frac{\rho u_{2}^{2}}{6} + \frac{\rho u_{2}}{6} + \frac{\rho}{18} & - \frac{\rho u_{0}^{2}}{6} - \frac{\rho u_{1}^{2}}{6} + \frac{\rho u_{2}^{2}}{6} - \frac{\rho u_{2}}{6} + \frac{\rho}{18} & \frac{\rho u_{0}^{2}}{12} - \frac{\rho u_{0}}{4} u_{1} - \frac{\rho u_{0}}{12} + \frac{\rho u_{1}^{2}}{12} + \frac{\rho u_{1}}{12} + \frac{\rho}{36} & \frac{\rho u_{0}^{2}}{12} + \frac{\rho u_{0}}{4} u_{1} + \frac{\rho u_{0}}{12} + \frac{\rho u_{1}^{2}}{12} + \frac{\rho u_{1}}{12} + \frac{\rho}{36} & \frac{\rho u_{0}^{2}}{12} + \frac{\rho u_{0}}{4} u_{1} - \frac{\rho u_{0}}{12} + \frac{\rho u_{1}^{2}}{12} - \frac{\rho u_{1}}{12} + \frac{\rho}{36} & \frac{\rho u_{0}^{2}}{12} - \frac{\rho u_{0}}{4} u_{1} + \frac{\rho u_{0}}{12} + \frac{\rho u_{1}^{2}}{12} - \frac{\rho u_{1}}{12} + \frac{\rho}{36} & \frac{\rho u_{1}^{2}}{12} + \frac{\rho u_{1}}{4} u_{2} + \frac{\rho u_{1}}{12} + \frac{\rho u_{2}^{2}}{12} + \frac{\rho u_{2}}{12} + \frac{\rho}{36} & \frac{\rho u_{1}^{2}}{12} - \frac{\rho u_{1}}{4} u_{2} - \frac{\rho u_{1}}{12} + \frac{\rho u_{2}^{2}}{12} + \frac{\rho u_{2}}{12} + \frac{\rho}{36} & \frac{\rho u_{0}^{2}}{12} - \frac{\rho u_{0}}{4} u_{2} - \frac{\rho u_{0}}{12} + \frac{\rho u_{2}^{2}}{12} + \frac{\rho u_{2}}{12} + \frac{\rho}{36} & \frac{\rho u_{0}^{2}}{12} + \frac{\rho u_{0}}{4} u_{2} + \frac{\rho u_{0}}{12} + \frac{\rho u_{2}^{2}}{12} + \frac{\rho u_{2}}{12} + \frac{\rho}{36} & \frac{\rho u_{1}^{2}}{12} - \frac{\rho u_{1}}{4} u_{2} + \frac{\rho u_{1}}{12} + \frac{\rho u_{2}^{2}}{12} - \frac{\rho u_{2}}{12} + \frac{\rho}{36} & \frac{\rho u_{1}^{2}}{12} + \frac{\rho u_{1}}{4} u_{2} - \frac{\rho u_{1}}{12} + \frac{\rho u_{2}^{2}}{12} - \frac{\rho u_{2}}{12} + \frac{\rho}{36} & \frac{\rho u_{0}^{2}}{12} + \frac{\rho u_{0}}{4} u_{2} - \frac{\rho u_{0}}{12} + \frac{\rho u_{2}^{2}}{12} - \frac{\rho u_{2}}{12} + \frac{\rho}{36} & \frac{\rho u_{0}^{2}}{12} - \frac{\rho u_{0}}{4} u_{2} + \frac{\rho u_{0}}{12} + \frac{\rho u_{2}^{2}}{12} - \frac{\rho u_{2}}{12} + \frac{\rho}{36}\\- \frac{\rho u_{0}^{2}}{2} - \frac{\rho u_{1}^{2}}{2} - \frac{\rho u_{2}^{2}}{2} + \frac{\rho}{3} & - \frac{\rho u_{0}^{2}}{12} + \frac{\rho u_{1}^{2}}{6} + \frac{\rho u_{1}}{6} - \frac{\rho u_{2}^{2}}{12} + \frac{\rho}{18} & - \frac{\rho u_{0}^{2}}{12} + \frac{\rho u_{1}^{2}}{6} - \frac{\rho u_{1}}{6} - \frac{\rho u_{2}^{2}}{12} + \frac{\rho}{18} & \frac{\rho u_{0}^{2}}{6} - \frac{\rho u_{0}}{6} - \frac{\rho u_{1}^{2}}{12} - \frac{\rho u_{2}^{2}}{12} + \frac{\rho}{18} & \frac{\rho u_{0}^{2}}{6} + \frac{\rho u_{0}}{6} - \frac{\rho u_{1}^{2}}{12} - \frac{\rho u_{2}^{2}}{12} + \frac{\rho}{18} & - \frac{\rho u_{0}^{2}}{12} - \frac{\rho u_{1}^{2}}{12} + \frac{\rho u_{2}^{2}}{6} + \frac{\rho u_{2}}{6} + \frac{\rho}{18} & - \frac{\rho u_{0}^{2}}{12} - \frac{\rho u_{1}^{2}}{12} + \frac{\rho u_{2}^{2}}{6} - \frac{\rho u_{2}}{6} + \frac{\rho}{18} & \frac{\rho u_{0}^{2}}{12} - \frac{\rho u_{0}}{4} u_{1} - \frac{\rho u_{0}}{12} + \frac{\rho u_{1}^{2}}{12} + \frac{\rho u_{1}}{12} - \frac{\rho u_{2}^{2}}{24} + \frac{\rho}{36} & \frac{\rho u_{0}^{2}}{12} + \frac{\rho u_{0}}{4} u_{1} + \frac{\rho u_{0}}{12} + \frac{\rho u_{1}^{2}}{12} + \frac{\rho u_{1}}{12} - \frac{\rho u_{2}^{2}}{24} + \frac{\rho}{36} & \frac{\rho u_{0}^{2}}{12} + \frac{\rho u_{0}}{4} u_{1} - \frac{\rho u_{0}}{12} + \frac{\rho u_{1}^{2}}{12} - \frac{\rho u_{1}}{12} - \frac{\rho u_{2}^{2}}{24} + \frac{\rho}{36} & \frac{\rho u_{0}^{2}}{12} - \frac{\rho u_{0}}{4} u_{1} + \frac{\rho u_{0}}{12} + \frac{\rho u_{1}^{2}}{12} - \frac{\rho u_{1}}{12} - \frac{\rho u_{2}^{2}}{24} + \frac{\rho}{36} & - \frac{\rho u_{0}^{2}}{24} + \frac{\rho u_{1}^{2}}{12} + \frac{\rho u_{1}}{4} u_{2} + \frac{\rho u_{1}}{12} + \frac{\rho u_{2}^{2}}{12} + \frac{\rho u_{2}}{12} + \frac{\rho}{36} & - \frac{\rho u_{0}^{2}}{24} + \frac{\rho u_{1}^{2}}{12} - \frac{\rho u_{1}}{4} u_{2} - \frac{\rho u_{1}}{12} + \frac{\rho u_{2}^{2}}{12} + \frac{\rho u_{2}}{12} + \frac{\rho}{36} & \frac{\rho u_{0}^{2}}{12} - \frac{\rho u_{0}}{4} u_{2} - \frac{\rho u_{0}}{12} - \frac{\rho u_{1}^{2}}{24} + \frac{\rho u_{2}^{2}}{12} + \frac{\rho u_{2}}{12} + \frac{\rho}{36} & \frac{\rho u_{0}^{2}}{12} + \frac{\rho u_{0}}{4} u_{2} + \frac{\rho u_{0}}{12} - \frac{\rho u_{1}^{2}}{24} + \frac{\rho u_{2}^{2}}{12} + \frac{\rho u_{2}}{12} + \frac{\rho}{36} & - \frac{\rho u_{0}^{2}}{24} + \frac{\rho u_{1}^{2}}{12} - \frac{\rho u_{1}}{4} u_{2} + \frac{\rho u_{1}}{12} + \frac{\rho u_{2}^{2}}{12} - \frac{\rho u_{2}}{12} + \frac{\rho}{36} & - \frac{\rho u_{0}^{2}}{24} + \frac{\rho u_{1}^{2}}{12} + \frac{\rho u_{1}}{4} u_{2} - \frac{\rho u_{1}}{12} + \frac{\rho u_{2}^{2}}{12} - \frac{\rho u_{2}}{12} + \frac{\rho}{36} & \frac{\rho u_{0}^{2}}{12} + \frac{\rho u_{0}}{4} u_{2} - \frac{\rho u_{0}}{12} - \frac{\rho u_{1}^{2}}{24} + \frac{\rho u_{2}^{2}}{12} - \frac{\rho u_{2}}{12} + \frac{\rho}{36} & \frac{\rho u_{0}^{2}}{12} - \frac{\rho u_{0}}{4} u_{2} + \frac{\rho u_{0}}{12} - \frac{\rho u_{1}^{2}}{24} + \frac{\rho u_{2}^{2}}{12} - \frac{\rho u_{2}}{12} + \frac{\rho}{36}\end{array}\right]$$
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<p>In above matrix, the difference between both equilibrium formulations can be seen in detail. The first row contains the stencil entry, the second our improved equilibrium while the last row is the standard second order equilibrium. The equilibrium moment values have been truncated at velocity order $2$ to be comparable.</p>
<p>The difference between both formulations is not due to velocity truncation order. The next cell compares both construction techniques again, this time for velocity truncation order of 3.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">d3q19_eq_moments</span> <span class="o">=</span> <span class="n">getMomentsOfContinuousMaxwellianEquilibrium</span><span class="p">(</span><span class="n">d3q19moments</span><span class="p">,</span> <span class="n">dim</span><span class="o">=</span><span class="mi">3</span><span class="p">,</span> <span class="n">order</span><span class="o">=</span><span class="mi">3</span><span class="p">,</span> <span class="n">c_s_sq</span><span class="o">=</span><span class="n">frac</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">3</span><span class="p">))</span>
<span class="n">M_D3Q19</span> <span class="o">=</span> <span class="n">momentMatrix</span><span class="p">(</span><span class="n">moments</span><span class="o">=</span><span class="n">d3q19moments</span><span class="p">,</span> <span class="n">stencil</span><span class="o">=</span><span class="n">D3Q19</span><span class="p">)</span>
<span class="n">improvedD3Q19</span> <span class="o">=</span> <span class="n">M_D3Q19</span><span class="o">.</span><span class="n">inv</span><span class="p">()</span> <span class="o">*</span> <span class="n">sp</span><span class="o">.</span><span class="n">Matrix</span><span class="p">(</span><span class="n">d3q19_eq_moments</span><span class="p">)</span>

<span class="n">standardD3Q19</span> <span class="o">=</span> <span class="n">sp</span><span class="o">.</span><span class="n">Matrix</span><span class="p">(</span><span class="n">discreteMaxwellianEquilibrium</span><span class="p">(</span><span class="n">D3Q19</span><span class="p">,</span> <span class="n">order</span><span class="o">=</span><span class="mi">3</span><span class="p">))</span><span class="o">.</span><span class="n">expand</span><span class="p">()</span>

<span class="n">sp</span><span class="o">.</span><span class="n">Matrix</span><span class="p">([</span><span class="n">D3Q19</span><span class="p">,</span> <span class="n">improvedD3Q19</span><span class="o">.</span><span class="n">T</span><span class="p">,</span> <span class="n">standardD3Q19</span><span class="o">.</span><span class="n">T</span><span class="p">])</span>
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$$\left[\begin{array}{ccccccccccccccccccc}\left ( 0, \quad 0, \quad 0\right ) & \left ( 0, \quad 1, \quad 0\right ) & \left ( 0, \quad -1, \quad 0\right ) & \left ( -1, \quad 0, \quad 0\right ) & \left ( 1, \quad 0, \quad 0\right ) & \left ( 0, \quad 0, \quad 1\right ) & \left ( 0, \quad 0, \quad -1\right ) & \left ( -1, \quad 1, \quad 0\right ) & \left ( 1, \quad 1, \quad 0\right ) & \left ( -1, \quad -1, \quad 0\right ) & \left ( 1, \quad -1, \quad 0\right ) & \left ( 0, \quad 1, \quad 1\right ) & \left ( 0, \quad -1, \quad 1\right ) & \left ( -1, \quad 0, \quad 1\right ) & \left ( 1, \quad 0, \quad 1\right ) & \left ( 0, \quad 1, \quad -1\right ) & \left ( 0, \quad -1, \quad -1\right ) & \left ( -1, \quad 0, \quad -1\right ) & \left ( 1, \quad 0, \quad -1\right )\\- \frac{\rho u_{0}^{2}}{3} - \frac{\rho u_{1}^{2}}{3} - \frac{\rho u_{2}^{2}}{3} + \frac{\rho}{3} & - \frac{\rho u_{1}}{2} u_{0}^{2} - \frac{\rho u_{0}^{2}}{6} + \frac{\rho u_{1}^{2}}{6} - \frac{\rho u_{1}}{2} u_{2}^{2} + \frac{\rho u_{1}}{6} - \frac{\rho u_{2}^{2}}{6} + \frac{\rho}{18} & \frac{\rho u_{1}}{2} u_{0}^{2} - \frac{\rho u_{0}^{2}}{6} + \frac{\rho u_{1}^{2}}{6} + \frac{\rho u_{1}}{2} u_{2}^{2} - \frac{\rho u_{1}}{6} - \frac{\rho u_{2}^{2}}{6} + \frac{\rho}{18} & \frac{\rho u_{0}^{2}}{6} + \frac{\rho u_{0}}{2} u_{1}^{2} + \frac{\rho u_{0}}{2} u_{2}^{2} - \frac{\rho u_{0}}{6} - \frac{\rho u_{1}^{2}}{6} - \frac{\rho u_{2}^{2}}{6} + \frac{\rho}{18} & \frac{\rho u_{0}^{2}}{6} - \frac{\rho u_{0}}{2} u_{1}^{2} - \frac{\rho u_{0}}{2} u_{2}^{2} + \frac{\rho u_{0}}{6} - \frac{\rho u_{1}^{2}}{6} - \frac{\rho u_{2}^{2}}{6} + \frac{\rho}{18} & - \frac{\rho u_{2}}{2} u_{0}^{2} - \frac{\rho u_{0}^{2}}{6} - \frac{\rho u_{2}}{2} u_{1}^{2} - \frac{\rho u_{1}^{2}}{6} + \frac{\rho u_{2}^{2}}{6} + \frac{\rho u_{2}}{6} + \frac{\rho}{18} & \frac{\rho u_{2}}{2} u_{0}^{2} - \frac{\rho u_{0}^{2}}{6} + \frac{\rho u_{2}}{2} u_{1}^{2} - \frac{\rho u_{1}^{2}}{6} + \frac{\rho u_{2}^{2}}{6} - \frac{\rho u_{2}}{6} + \frac{\rho}{18} & \frac{\rho u_{1}}{4} u_{0}^{2} + \frac{\rho u_{0}^{2}}{12} - \frac{\rho u_{0}}{4} u_{1}^{2} - \frac{\rho u_{0}}{4} u_{1} - \frac{\rho u_{0}}{12} + \frac{\rho u_{1}^{2}}{12} + \frac{\rho u_{1}}{12} + \frac{\rho}{36} & \frac{\rho u_{1}}{4} u_{0}^{2} + \frac{\rho u_{0}^{2}}{12} + \frac{\rho u_{0}}{4} u_{1}^{2} + \frac{\rho u_{0}}{4} u_{1} + \frac{\rho u_{0}}{12} + \frac{\rho u_{1}^{2}}{12} + \frac{\rho u_{1}}{12} + \frac{\rho}{36} & - \frac{\rho u_{1}}{4} u_{0}^{2} + \frac{\rho u_{0}^{2}}{12} - \frac{\rho u_{0}}{4} u_{1}^{2} + \frac{\rho u_{0}}{4} u_{1} - \frac{\rho u_{0}}{12} + \frac{\rho u_{1}^{2}}{12} - \frac{\rho u_{1}}{12} + \frac{\rho}{36} & - \frac{\rho u_{1}}{4} u_{0}^{2} + \frac{\rho u_{0}^{2}}{12} + \frac{\rho u_{0}}{4} u_{1}^{2} - \frac{\rho u_{0}}{4} u_{1} + \frac{\rho u_{0}}{12} + \frac{\rho u_{1}^{2}}{12} - \frac{\rho u_{1}}{12} + \frac{\rho}{36} & \frac{\rho u_{2}}{4} u_{1}^{2} + \frac{\rho u_{1}^{2}}{12} + \frac{\rho u_{1}}{4} u_{2}^{2} + \frac{\rho u_{1}}{4} u_{2} + \frac{\rho u_{1}}{12} + \frac{\rho u_{2}^{2}}{12} + \frac{\rho u_{2}}{12} + \frac{\rho}{36} & \frac{\rho u_{2}}{4} u_{1}^{2} + \frac{\rho u_{1}^{2}}{12} - \frac{\rho u_{1}}{4} u_{2}^{2} - \frac{\rho u_{1}}{4} u_{2} - \frac{\rho u_{1}}{12} + \frac{\rho u_{2}^{2}}{12} + \frac{\rho u_{2}}{12} + \frac{\rho}{36} & \frac{\rho u_{2}}{4} u_{0}^{2} + \frac{\rho u_{0}^{2}}{12} - \frac{\rho u_{0}}{4} u_{2}^{2} - \frac{\rho u_{0}}{4} u_{2} - \frac{\rho u_{0}}{12} + \frac{\rho u_{2}^{2}}{12} + \frac{\rho u_{2}}{12} + \frac{\rho}{36} & \frac{\rho u_{2}}{4} u_{0}^{2} + \frac{\rho u_{0}^{2}}{12} + \frac{\rho u_{0}}{4} u_{2}^{2} + \frac{\rho u_{0}}{4} u_{2} + \frac{\rho u_{0}}{12} + \frac{\rho u_{2}^{2}}{12} + \frac{\rho u_{2}}{12} + \frac{\rho}{36} & - \frac{\rho u_{2}}{4} u_{1}^{2} + \frac{\rho u_{1}^{2}}{12} + \frac{\rho u_{1}}{4} u_{2}^{2} - \frac{\rho u_{1}}{4} u_{2} + \frac{\rho u_{1}}{12} + \frac{\rho u_{2}^{2}}{12} - \frac{\rho u_{2}}{12} + \frac{\rho}{36} & - \frac{\rho u_{2}}{4} u_{1}^{2} + \frac{\rho u_{1}^{2}}{12} - \frac{\rho u_{1}}{4} u_{2}^{2} + \frac{\rho u_{1}}{4} u_{2} - \frac{\rho u_{1}}{12} + \frac{\rho u_{2}^{2}}{12} - \frac{\rho u_{2}}{12} + \frac{\rho}{36} & - \frac{\rho u_{2}}{4} u_{0}^{2} + \frac{\rho u_{0}^{2}}{12} - \frac{\rho u_{0}}{4} u_{2}^{2} + \frac{\rho u_{0}}{4} u_{2} - \frac{\rho u_{0}}{12} + \frac{\rho u_{2}^{2}}{12} - \frac{\rho u_{2}}{12} + \frac{\rho}{36} & - \frac{\rho u_{2}}{4} u_{0}^{2} + \frac{\rho u_{0}^{2}}{12} + \frac{\rho u_{0}}{4} u_{2}^{2} - \frac{\rho u_{0}}{4} u_{2} + \frac{\rho u_{0}}{12} + \frac{\rho u_{2}^{2}}{12} - \frac{\rho u_{2}}{12} + \frac{\rho}{36}\\- \frac{\rho u_{0}^{2}}{2} - \frac{\rho u_{1}^{2}}{2} - \frac{\rho u_{2}^{2}}{2} + \frac{\rho}{3} & - \frac{\rho u_{1}}{4} u_{0}^{2} - \frac{\rho u_{0}^{2}}{12} + \frac{\rho u_{1}^{2}}{6} - \frac{\rho u_{1}}{4} u_{2}^{2} + \frac{\rho u_{1}}{6} - \frac{\rho u_{2}^{2}}{12} + \frac{\rho}{18} & \frac{\rho u_{1}}{4} u_{0}^{2} - \frac{\rho u_{0}^{2}}{12} + \frac{\rho u_{1}^{2}}{6} + \frac{\rho u_{1}}{4} u_{2}^{2} - \frac{\rho u_{1}}{6} - \frac{\rho u_{2}^{2}}{12} + \frac{\rho}{18} & \frac{\rho u_{0}^{2}}{6} + \frac{\rho u_{0}}{4} u_{1}^{2} + \frac{\rho u_{0}}{4} u_{2}^{2} - \frac{\rho u_{0}}{6} - \frac{\rho u_{1}^{2}}{12} - \frac{\rho u_{2}^{2}}{12} + \frac{\rho}{18} & \frac{\rho u_{0}^{2}}{6} - \frac{\rho u_{0}}{4} u_{1}^{2} - \frac{\rho u_{0}}{4} u_{2}^{2} + \frac{\rho u_{0}}{6} - \frac{\rho u_{1}^{2}}{12} - \frac{\rho u_{2}^{2}}{12} + \frac{\rho}{18} & - \frac{\rho u_{2}}{4} u_{0}^{2} - \frac{\rho u_{0}^{2}}{12} - \frac{\rho u_{2}}{4} u_{1}^{2} - \frac{\rho u_{1}^{2}}{12} + \frac{\rho u_{2}^{2}}{6} + \frac{\rho u_{2}}{6} + \frac{\rho}{18} & \frac{\rho u_{2}}{4} u_{0}^{2} - \frac{\rho u_{0}^{2}}{12} + \frac{\rho u_{2}}{4} u_{1}^{2} - \frac{\rho u_{1}^{2}}{12} + \frac{\rho u_{2}^{2}}{6} - \frac{\rho u_{2}}{6} + \frac{\rho}{18} & \frac{\rho u_{1}}{4} u_{0}^{2} + \frac{\rho u_{0}^{2}}{12} - \frac{\rho u_{0}}{4} u_{1}^{2} - \frac{\rho u_{0}}{4} u_{1} + \frac{\rho u_{0}}{8} u_{2}^{2} - \frac{\rho u_{0}}{12} + \frac{\rho u_{1}^{2}}{12} - \frac{\rho u_{1}}{8} u_{2}^{2} + \frac{\rho u_{1}}{12} - \frac{\rho u_{2}^{2}}{24} + \frac{\rho}{36} & \frac{\rho u_{1}}{4} u_{0}^{2} + \frac{\rho u_{0}^{2}}{12} + \frac{\rho u_{0}}{4} u_{1}^{2} + \frac{\rho u_{0}}{4} u_{1} - \frac{\rho u_{0}}{8} u_{2}^{2} + \frac{\rho u_{0}}{12} + \frac{\rho u_{1}^{2}}{12} - \frac{\rho u_{1}}{8} u_{2}^{2} + \frac{\rho u_{1}}{12} - \frac{\rho u_{2}^{2}}{24} + \frac{\rho}{36} & - \frac{\rho u_{1}}{4} u_{0}^{2} + \frac{\rho u_{0}^{2}}{12} - \frac{\rho u_{0}}{4} u_{1}^{2} + \frac{\rho u_{0}}{4} u_{1} + \frac{\rho u_{0}}{8} u_{2}^{2} - \frac{\rho u_{0}}{12} + \frac{\rho u_{1}^{2}}{12} + \frac{\rho u_{1}}{8} u_{2}^{2} - \frac{\rho u_{1}}{12} - \frac{\rho u_{2}^{2}}{24} + \frac{\rho}{36} & - \frac{\rho u_{1}}{4} u_{0}^{2} + \frac{\rho u_{0}^{2}}{12} + \frac{\rho u_{0}}{4} u_{1}^{2} - \frac{\rho u_{0}}{4} u_{1} - \frac{\rho u_{0}}{8} u_{2}^{2} + \frac{\rho u_{0}}{12} + \frac{\rho u_{1}^{2}}{12} + \frac{\rho u_{1}}{8} u_{2}^{2} - \frac{\rho u_{1}}{12} - \frac{\rho u_{2}^{2}}{24} + \frac{\rho}{36} & - \frac{\rho u_{1}}{8} u_{0}^{2} - \frac{\rho u_{2}}{8} u_{0}^{2} - \frac{\rho u_{0}^{2}}{24} + \frac{\rho u_{2}}{4} u_{1}^{2} + \frac{\rho u_{1}^{2}}{12} + \frac{\rho u_{1}}{4} u_{2}^{2} + \frac{\rho u_{1}}{4} u_{2} + \frac{\rho u_{1}}{12} + \frac{\rho u_{2}^{2}}{12} + \frac{\rho u_{2}}{12} + \frac{\rho}{36} & \frac{\rho u_{1}}{8} u_{0}^{2} - \frac{\rho u_{2}}{8} u_{0}^{2} - \frac{\rho u_{0}^{2}}{24} + \frac{\rho u_{2}}{4} u_{1}^{2} + \frac{\rho u_{1}^{2}}{12} - \frac{\rho u_{1}}{4} u_{2}^{2} - \frac{\rho u_{1}}{4} u_{2} - \frac{\rho u_{1}}{12} + \frac{\rho u_{2}^{2}}{12} + \frac{\rho u_{2}}{12} + \frac{\rho}{36} & \frac{\rho u_{2}}{4} u_{0}^{2} + \frac{\rho u_{0}^{2}}{12} + \frac{\rho u_{0}}{8} u_{1}^{2} - \frac{\rho u_{0}}{4} u_{2}^{2} - \frac{\rho u_{0}}{4} u_{2} - \frac{\rho u_{0}}{12} - \frac{\rho u_{2}}{8} u_{1}^{2} - \frac{\rho u_{1}^{2}}{24} + \frac{\rho u_{2}^{2}}{12} + \frac{\rho u_{2}}{12} + \frac{\rho}{36} & \frac{\rho u_{2}}{4} u_{0}^{2} + \frac{\rho u_{0}^{2}}{12} - \frac{\rho u_{0}}{8} u_{1}^{2} + \frac{\rho u_{0}}{4} u_{2}^{2} + \frac{\rho u_{0}}{4} u_{2} + \frac{\rho u_{0}}{12} - \frac{\rho u_{2}}{8} u_{1}^{2} - \frac{\rho u_{1}^{2}}{24} + \frac{\rho u_{2}^{2}}{12} + \frac{\rho u_{2}}{12} + \frac{\rho}{36} & - \frac{\rho u_{1}}{8} u_{0}^{2} + \frac{\rho u_{2}}{8} u_{0}^{2} - \frac{\rho u_{0}^{2}}{24} - \frac{\rho u_{2}}{4} u_{1}^{2} + \frac{\rho u_{1}^{2}}{12} + \frac{\rho u_{1}}{4} u_{2}^{2} - \frac{\rho u_{1}}{4} u_{2} + \frac{\rho u_{1}}{12} + \frac{\rho u_{2}^{2}}{12} - \frac{\rho u_{2}}{12} + \frac{\rho}{36} & \frac{\rho u_{1}}{8} u_{0}^{2} + \frac{\rho u_{2}}{8} u_{0}^{2} - \frac{\rho u_{0}^{2}}{24} - \frac{\rho u_{2}}{4} u_{1}^{2} + \frac{\rho u_{1}^{2}}{12} - \frac{\rho u_{1}}{4} u_{2}^{2} + \frac{\rho u_{1}}{4} u_{2} - \frac{\rho u_{1}}{12} + \frac{\rho u_{2}^{2}}{12} - \frac{\rho u_{2}}{12} + \frac{\rho}{36} & - \frac{\rho u_{2}}{4} u_{0}^{2} + \frac{\rho u_{0}^{2}}{12} + \frac{\rho u_{0}}{8} u_{1}^{2} - \frac{\rho u_{0}}{4} u_{2}^{2} + \frac{\rho u_{0}}{4} u_{2} - \frac{\rho u_{0}}{12} + \frac{\rho u_{2}}{8} u_{1}^{2} - \frac{\rho u_{1}^{2}}{24} + \frac{\rho u_{2}^{2}}{12} - \frac{\rho u_{2}}{12} + \frac{\rho}{36} & - \frac{\rho u_{2}}{4} u_{0}^{2} + \frac{\rho u_{0}^{2}}{12} - \frac{\rho u_{0}}{8} u_{1}^{2} + \frac{\rho u_{0}}{4} u_{2}^{2} - \frac{\rho u_{0}}{4} u_{2} + \frac{\rho u_{0}}{12} + \frac{\rho u_{2}}{8} u_{1}^{2} - \frac{\rho u_{1}^{2}}{24} + \frac{\rho u_{2}^{2}}{12} - \frac{\rho u_{2}}{12} + \frac{\rho}{36}\end{array}\right]$$
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<p>For isothermal hydrodynamic simulations the second order truncated equilibrium is usually sufficient and is computationally less expensive.</p>
<p>Finally we compare the moments of both equilibra. Since our new equilibrium has the same moments as the Maxwellian, we effectively compare the differences of the standard equilibrium moments to Maxwellian moments.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">comparisonOrder</span><span class="o">=</span><span class="mi">2</span>

<span class="n">sp</span><span class="o">.</span><span class="n">Matrix</span><span class="p">([</span><span class="n">d3q19moments</span><span class="p">,</span>  
           <span class="n">getMomentsOfContinuousMaxwellianEquilibrium</span><span class="p">(</span><span class="n">d3q19moments</span><span class="p">,</span> <span class="n">dim</span><span class="o">=</span><span class="mi">3</span><span class="p">,</span> <span class="n">c_s_sq</span><span class="o">=</span><span class="n">frac</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">3</span><span class="p">),</span> <span class="n">order</span><span class="o">=</span><span class="n">comparisonOrder</span><span class="p">),</span>
           <span class="n">getMomentsOfDiscreteMaxwellianEquilibrium</span><span class="p">(</span><span class="n">D3Q19</span><span class="p">,</span> <span class="n">d3q19moments</span><span class="p">,</span> <span class="n">order</span><span class="o">=</span><span class="n">comparisonOrder</span><span class="p">)])</span><span class="o">.</span><span class="n">expand</span><span class="p">()</span>
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$$\left[\begin{array}{ccccccccccccccccccc}1 & y^{2} & x^{2} z^{2} & x & y z & x^{2} y^{2} & y^{2} z^{2} & y & y z^{2} & y^{2} z & x^{2} z & x y^{2} & x z & x^{2} & x y & z^{2} & x z^{2} & z & x^{2} y\\\rho & \rho u_{1}^{2} + \frac{\rho}{3} & \frac{\rho u_{0}^{2}}{3} + \frac{\rho u_{2}^{2}}{3} + \frac{\rho}{9} & \rho u_{0} & \rho u_{1} u_{2} & \frac{\rho u_{0}^{2}}{3} + \frac{\rho u_{1}^{2}}{3} + \frac{\rho}{9} & \frac{\rho u_{1}^{2}}{3} + \frac{\rho u_{2}^{2}}{3} + \frac{\rho}{9} & \rho u_{1} & \frac{\rho u_{1}}{3} & \frac{\rho u_{2}}{3} & \frac{\rho u_{2}}{3} & \frac{\rho u_{0}}{3} & \rho u_{0} u_{2} & \rho u_{0}^{2} + \frac{\rho}{3} & \rho u_{0} u_{1} & \rho u_{2}^{2} + \frac{\rho}{3} & \frac{\rho u_{0}}{3} & \rho u_{2} & \frac{\rho u_{1}}{3}\\\rho & \rho u_{1}^{2} + \frac{\rho}{3} & \frac{\rho u_{0}^{2}}{3} - \frac{\rho u_{1}^{2}}{6} + \frac{\rho u_{2}^{2}}{3} + \frac{\rho}{9} & \rho u_{0} & \rho u_{1} u_{2} & \frac{\rho u_{0}^{2}}{3} + \frac{\rho u_{1}^{2}}{3} - \frac{\rho u_{2}^{2}}{6} + \frac{\rho}{9} & - \frac{\rho u_{0}^{2}}{6} + \frac{\rho u_{1}^{2}}{3} + \frac{\rho u_{2}^{2}}{3} + \frac{\rho}{9} & \rho u_{1} & \frac{\rho u_{1}}{3} & \frac{\rho u_{2}}{3} & \frac{\rho u_{2}}{3} & \frac{\rho u_{0}}{3} & \rho u_{0} u_{2} & \rho u_{0}^{2} + \frac{\rho}{3} & \rho u_{0} u_{1} & \rho u_{2}^{2} + \frac{\rho}{3} & \frac{\rho u_{0}}{3} & \rho u_{2} & \frac{\rho u_{1}}{3}\end{array}\right]$$
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<p>When comparing only up to velocity truncation order 2, the only difference are the forth order moments.
At velocity truncation order 3, as is shown in the next cell, also the values of third order moments are different.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">comparisonOrder</span><span class="o">=</span><span class="mi">3</span>

<span class="n">sp</span><span class="o">.</span><span class="n">Matrix</span><span class="p">([</span><span class="n">d3q19moments</span><span class="p">,</span>  
           <span class="n">getMomentsOfContinuousMaxwellianEquilibrium</span><span class="p">(</span><span class="n">d3q19moments</span><span class="p">,</span> <span class="n">dim</span><span class="o">=</span><span class="mi">3</span><span class="p">,</span> <span class="n">c_s_sq</span><span class="o">=</span><span class="n">frac</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">3</span><span class="p">),</span> <span class="n">order</span><span class="o">=</span><span class="n">comparisonOrder</span><span class="p">),</span>
           <span class="n">getMomentsOfDiscreteMaxwellianEquilibrium</span><span class="p">(</span><span class="n">D3Q19</span><span class="p">,</span> <span class="n">d3q19moments</span><span class="p">,</span> <span class="n">order</span><span class="o">=</span><span class="n">comparisonOrder</span><span class="p">)])</span><span class="o">.</span><span class="n">expand</span><span class="p">()</span>
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$$\left[\begin{array}{ccccccccccccccccccc}1 & y^{2} & x^{2} z^{2} & x & y z & x^{2} y^{2} & y^{2} z^{2} & y & y z^{2} & y^{2} z & x^{2} z & x y^{2} & x z & x^{2} & x y & z^{2} & x z^{2} & z & x^{2} y\\\rho & \rho u_{1}^{2} + \frac{\rho}{3} & \frac{\rho u_{0}^{2}}{3} + \frac{\rho u_{2}^{2}}{3} + \frac{\rho}{9} & \rho u_{0} & \rho u_{1} u_{2} & \frac{\rho u_{0}^{2}}{3} + \frac{\rho u_{1}^{2}}{3} + \frac{\rho}{9} & \frac{\rho u_{1}^{2}}{3} + \frac{\rho u_{2}^{2}}{3} + \frac{\rho}{9} & \rho u_{1} & \rho u_{1} u_{2}^{2} + \frac{\rho u_{1}}{3} & \rho u_{1}^{2} u_{2} + \frac{\rho u_{2}}{3} & \rho u_{0}^{2} u_{2} + \frac{\rho u_{2}}{3} & \rho u_{0} u_{1}^{2} + \frac{\rho u_{0}}{3} & \rho u_{0} u_{2} & \rho u_{0}^{2} + \frac{\rho}{3} & \rho u_{0} u_{1} & \rho u_{2}^{2} + \frac{\rho}{3} & \rho u_{0} u_{2}^{2} + \frac{\rho u_{0}}{3} & \rho u_{2} & \rho u_{0}^{2} u_{1} + \frac{\rho u_{1}}{3}\\\rho & \rho u_{1}^{2} + \frac{\rho}{3} & \frac{\rho u_{0}^{2}}{3} - \frac{\rho u_{1}^{2}}{6} + \frac{\rho u_{2}^{2}}{3} + \frac{\rho}{9} & \rho u_{0} & \rho u_{1} u_{2} & \frac{\rho u_{0}^{2}}{3} + \frac{\rho u_{1}^{2}}{3} - \frac{\rho u_{2}^{2}}{6} + \frac{\rho}{9} & - \frac{\rho u_{0}^{2}}{6} + \frac{\rho u_{1}^{2}}{3} + \frac{\rho u_{2}^{2}}{3} + \frac{\rho}{9} & \rho u_{1} & - \frac{\rho u_{1}}{2} u_{0}^{2} + \rho u_{1} u_{2}^{2} + \frac{\rho u_{1}}{3} & - \frac{\rho u_{2}}{2} u_{0}^{2} + \rho u_{1}^{2} u_{2} + \frac{\rho u_{2}}{3} & \rho u_{0}^{2} u_{2} - \frac{\rho u_{2}}{2} u_{1}^{2} + \frac{\rho u_{2}}{3} & \rho u_{0} u_{1}^{2} - \frac{\rho u_{0}}{2} u_{2}^{2} + \frac{\rho u_{0}}{3} & \rho u_{0} u_{2} & \rho u_{0}^{2} + \frac{\rho}{3} & \rho u_{0} u_{1} & \rho u_{2}^{2} + \frac{\rho}{3} & - \frac{\rho u_{0}}{2} u_{1}^{2} + \rho u_{0} u_{2}^{2} + \frac{\rho u_{0}}{3} & \rho u_{2} & \rho u_{0}^{2} u_{1} - \frac{\rho u_{1}}{2} u_{2}^{2} + \frac{\rho u_{1}}{3}\end{array}\right]$$
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<p><strong>Incompressible Version</strong></p>
<p>The incompressible version of the equilibrium can be obtained by setting $\rho=1$ in the Maxwellian moment values. This substitution is only done in terms that contain also factors of the macroscopic velocity components $u_i$.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">compressibleMoments</span> <span class="o">=</span> <span class="n">getMomentsOfDiscreteMaxwellianEquilibrium</span><span class="p">(</span><span class="n">D3Q19</span><span class="p">,</span> <span class="n">d3q19moments</span><span class="p">,</span> <span class="n">order</span><span class="o">=</span><span class="n">comparisonOrder</span><span class="p">)</span>
<span class="n">incompressibleMoments</span> <span class="o">=</span> <span class="p">[</span><span class="n">compressibleToIncompressibleMomentValue</span><span class="p">(</span><span class="n">m</span><span class="p">,</span> <span class="n">sp</span><span class="o">.</span><span class="n">Symbol</span><span class="p">(</span><span class="s2">&quot;rho&quot;</span><span class="p">),</span> <span class="n">sp</span><span class="o">.</span><span class="n">symbols</span><span class="p">(</span><span class="s2">&quot;u_:3&quot;</span><span class="p">))</span> 
                         <span class="k">for</span> <span class="n">m</span> <span class="ow">in</span> <span class="n">compressibleMoments</span><span class="p">]</span>
<span class="n">sp</span><span class="o">.</span><span class="n">Matrix</span><span class="p">([</span><span class="n">d3q19moments</span><span class="p">,</span> <span class="n">compressibleMoments</span><span class="p">,</span> <span class="n">incompressibleMoments</span><span class="p">])</span>
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$$\left[\begin{array}{ccccccccccccccccccc}1 & y^{2} & x^{2} z^{2} & x & y z & x^{2} y^{2} & y^{2} z^{2} & y & y z^{2} & y^{2} z & x^{2} z & x y^{2} & x z & x^{2} & x y & z^{2} & x z^{2} & z & x^{2} y\\\rho & \rho u_{1}^{2} + \frac{\rho}{3} & \frac{\rho u_{0}^{2}}{3} - \frac{\rho u_{1}^{2}}{6} + \frac{\rho u_{2}^{2}}{3} + \frac{\rho}{9} & \rho u_{0} & \rho u_{1} u_{2} & \frac{\rho u_{0}^{2}}{3} + \frac{\rho u_{1}^{2}}{3} - \frac{\rho u_{2}^{2}}{6} + \frac{\rho}{9} & - \frac{\rho u_{0}^{2}}{6} + \frac{\rho u_{1}^{2}}{3} + \frac{\rho u_{2}^{2}}{3} + \frac{\rho}{9} & \rho u_{1} & - \frac{\rho u_{1}}{2} u_{0}^{2} + \rho u_{1} u_{2}^{2} + \frac{\rho u_{1}}{3} & - \frac{\rho u_{2}}{2} u_{0}^{2} + \rho u_{1}^{2} u_{2} + \frac{\rho u_{2}}{3} & \rho u_{0}^{2} u_{2} - \frac{\rho u_{2}}{2} u_{1}^{2} + \frac{\rho u_{2}}{3} & \rho u_{0} u_{1}^{2} - \frac{\rho u_{0}}{2} u_{2}^{2} + \frac{\rho u_{0}}{3} & \rho u_{0} u_{2} & \rho u_{0}^{2} + \frac{\rho}{3} & \rho u_{0} u_{1} & \rho u_{2}^{2} + \frac{\rho}{3} & - \frac{\rho u_{0}}{2} u_{1}^{2} + \rho u_{0} u_{2}^{2} + \frac{\rho u_{0}}{3} & \rho u_{2} & \rho u_{0}^{2} u_{1} - \frac{\rho u_{1}}{2} u_{2}^{2} + \frac{\rho u_{1}}{3}\\\rho & \frac{\rho}{3} + u_{1}^{2} & \frac{\rho}{9} + \frac{u_{0}^{2}}{3} - \frac{u_{1}^{2}}{6} + \frac{u_{2}^{2}}{3} & u_{0} & u_{1} u_{2} & \frac{\rho}{9} + \frac{u_{0}^{2}}{3} + \frac{u_{1}^{2}}{3} - \frac{u_{2}^{2}}{6} & \frac{\rho}{9} - \frac{u_{0}^{2}}{6} + \frac{u_{1}^{2}}{3} + \frac{u_{2}^{2}}{3} & u_{1} & - \frac{u_{0}^{2} u_{1}}{2} + u_{1} u_{2}^{2} + \frac{u_{1}}{3} & - \frac{u_{0}^{2} u_{2}}{2} + u_{1}^{2} u_{2} + \frac{u_{2}}{3} & u_{0}^{2} u_{2} - \frac{u_{1}^{2} u_{2}}{2} + \frac{u_{2}}{3} & u_{0} u_{1}^{2} - \frac{u_{0} u_{2}^{2}}{2} + \frac{u_{0}}{3} & u_{0} u_{2} & \frac{\rho}{3} + u_{0}^{2} & u_{0} u_{1} & \frac{\rho}{3} + u_{2}^{2} & - \frac{u_{0} u_{1}^{2}}{2} + u_{0} u_{2}^{2} + \frac{u_{0}}{3} & u_{2} & u_{0}^{2} u_{1} - \frac{u_{1} u_{2}^{2}}{2} + \frac{u_{1}}{3}\end{array}\right]$$
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<p>The second order moment $x^2$, for example, has the value $\frac{\rho}{3} + \rho u_0^2$ and is replaced by the incompressible version $\frac{\rho}{3} +  u_0^2$.
The first term is not modified since it is not multiplied by any velocity component, while in the second part the density is set to $1$.</p>
<p>The validity of this modification can be shown via a Chapman Enskog analysis, which is done in the next section.</p>

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