FIZ353_06_c_MatrixApplications_SVD_PCA_with_noise.html

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}
.glyphicon-triangle-left:before {
  content: "\e251";
}
.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: #000000;
  background-color: #ffffff;
}
input,
button,
select,
textarea {
  font-family: inherit;
  font-size: inherit;
  line-height: inherit;
}
a {
  color: #296eaa;
  text-decoration: none;
}
a:hover,
a:focus {
  color: #1a466c;
  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: #ffffff;
  border: 1px solid #dddddd;
  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;
  padding: 0;
  margin: -1px;
  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: 400;
  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 {
  padding: .2em;
  background-color: #fcf8e3;
}
.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-right: 5px;
  padding-left: 5px;
}
dl {
  margin-top: 0;
  margin-bottom: 18px;
}
dt,
dd {
  line-height: 1.42857143;
}
dt {
  font-weight: 700;
}
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;
}
.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;
  text-align: right;
  border-right: 5px solid #eeeeee;
  border-left: 0;
}
.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: #888888;
  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: 700;
  box-shadow: none;
}
pre {
  display: block;
  padding: 8.5px;
  margin: 0 0 9px;
  font-size: 12px;
  line-height: 1.42857143;
  color: #333333;
  word-break: break-all;
  word-wrap: break-word;
  background-color: #f5f5f5;
  border: 1px solid #cccccc;
  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 {
  padding-right: 0px;
  padding-left: 0px;
  margin-right: auto;
  margin-left: auto;
}
@media (min-width: 768px) {
  .container {
    width: 768px;
  }
}
@media (min-width: 992px) {
  .container {
    width: 940px;
  }
}
@media (min-width: 1200px) {
  .container {
    width: 1140px;
  }
}
.container-fluid {
  padding-right: 0px;
  padding-left: 0px;
  margin-right: auto;
  margin-left: auto;
}
.row {
  margin-right: 0px;
  margin-left: 0px;
}
.row-no-gutters {
  margin-right: 0;
  margin-left: 0;
}
.row-no-gutters [class*="col-"] {
  padding-right: 0;
  padding-left: 0;
}
.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-right: 0px;
  padding-left: 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;
}
table col[class*="col-"] {
  position: static;
  display: table-column;
  float: none;
}
table td[class*="col-"],
table th[class*="col-"] {
  position: static;
  display: table-cell;
  float: none;
}
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 #dddddd;
}
.table > thead > tr > th {
  vertical-align: bottom;
  border-bottom: 2px solid #dddddd;
}
.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 #dddddd;
}
.table .table {
  background-color: #ffffff;
}
.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 #dddddd;
}
.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 #dddddd;
}
.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 > 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 {
  min-height: .01%;
  overflow-x: auto;
}
@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 #dddddd;
  }
  .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 {
  min-width: 0;
  padding: 0;
  margin: 0;
  border: 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: 700;
}
input[type="search"] {
  -webkit-box-sizing: border-box;
  -moz-box-sizing: border-box;
  box-sizing: border-box;
  -webkit-appearance: none;
  appearance: none;
}
input[type="radio"],
input[type="checkbox"] {
  margin: 4px 0 0;
  margin-top: 1px \9;
  line-height: normal;
}
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;
}
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: #ffffff;
  background-image: none;
  border: 1px solid #cccccc;
  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: #999999;
  opacity: 1;
}
.form-control:-ms-input-placeholder {
  color: #999999;
}
.form-control::-webkit-input-placeholder {
  color: #999999;
}
.form-control::-ms-expand {
  background-color: transparent;
  border: 0;
}
.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;
}
@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.disabled label,
.checkbox.disabled label,
fieldset[disabled] .radio label,
fieldset[disabled] .checkbox label {
  cursor: not-allowed;
}
.radio label,
.checkbox label {
  min-height: 18px;
  padding-left: 20px;
  margin-bottom: 0;
  font-weight: 400;
  cursor: pointer;
}
.radio input[type="radio"],
.radio-inline input[type="radio"],
.checkbox input[type="checkbox"],
.checkbox-inline input[type="checkbox"] {
  position: absolute;
  margin-top: 4px \9;
  margin-left: -20px;
}
.radio + .radio,
.checkbox + .checkbox {
  margin-top: -5px;
}
.radio-inline,
.checkbox-inline {
  position: relative;
  display: inline-block;
  padding-left: 20px;
  margin-bottom: 0;
  font-weight: 400;
  vertical-align: middle;
  cursor: pointer;
}
.radio-inline.disabled,
.checkbox-inline.disabled,
fieldset[disabled] .radio-inline,
fieldset[disabled] .checkbox-inline {
  cursor: not-allowed;
}
.radio-inline + .radio-inline,
.checkbox-inline + .checkbox-inline {
  margin-top: 0;
  margin-left: 10px;
}
.form-control-static {
  min-height: 31px;
  padding-top: 7px;
  padding-bottom: 7px;
  margin-bottom: 0;
}
.form-control-static.input-lg,
.form-control-static.input-sm {
  padding-right: 0;
  padding-left: 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;
  background-color: #dff0d8;
  border-color: #3c763d;
}
.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;
  background-color: #fcf8e3;
  border-color: #8a6d3b;
}
.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;
  background-color: #f2dede;
  border-color: #a94442;
}
.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 {
  padding-top: 7px;
  margin-top: 0;
  margin-bottom: 0;
}
.form-horizontal .radio,
.form-horizontal .checkbox {
  min-height: 25px;
}
.form-horizontal .form-group {
  margin-right: 0px;
  margin-left: 0px;
}
@media (min-width: 768px) {
  .form-horizontal .control-label {
    padding-top: 7px;
    margin-bottom: 0;
    text-align: right;
  }
}
.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;
  white-space: nowrap;
  vertical-align: middle;
  touch-action: manipulation;
  cursor: pointer;
  background-image: none;
  border: 1px solid transparent;
  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: #333333;
  text-decoration: none;
}
.btn:active,
.btn.active {
  background-image: none;
  outline: 0;
  -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;
  filter: alpha(opacity=65);
  opacity: 0.65;
  -webkit-box-shadow: none;
  box-shadow: none;
}
a.btn.disabled,
fieldset[disabled] a.btn {
  pointer-events: none;
}
.btn-default {
  color: #333333;
  background-color: #ffffff;
  border-color: #cccccc;
}
.btn-default:focus,
.btn-default.focus {
  color: #333333;
  background-color: #e6e6e6;
  border-color: #8c8c8c;
}
.btn-default:hover {
  color: #333333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.btn-default:active,
.btn-default.active,
.open > .dropdown-toggle.btn-default {
  color: #333333;
  background-color: #e6e6e6;
  background-image: none;
  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: #333333;
  background-color: #d4d4d4;
  border-color: #8c8c8c;
}
.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: #ffffff;
  border-color: #cccccc;
}
.btn-default .badge {
  color: #ffffff;
  background-color: #333333;
}
.btn-primary {
  color: #ffffff;
  background-color: #337ab7;
  border-color: #2e6da4;
}
.btn-primary:focus,
.btn-primary.focus {
  color: #ffffff;
  background-color: #286090;
  border-color: #122b40;
}
.btn-primary:hover {
  color: #ffffff;
  background-color: #286090;
  border-color: #204d74;
}
.btn-primary:active,
.btn-primary.active,
.open > .dropdown-toggle.btn-primary {
  color: #ffffff;
  background-color: #286090;
  background-image: none;
  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: #ffffff;
  background-color: #204d74;
  border-color: #122b40;
}
.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: #ffffff;
}
.btn-success {
  color: #ffffff;
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.btn-success:focus,
.btn-success.focus {
  color: #ffffff;
  background-color: #449d44;
  border-color: #255625;
}
.btn-success:hover {
  color: #ffffff;
  background-color: #449d44;
  border-color: #398439;
}
.btn-success:active,
.btn-success.active,
.open > .dropdown-toggle.btn-success {
  color: #ffffff;
  background-color: #449d44;
  background-image: none;
  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: #ffffff;
  background-color: #398439;
  border-color: #255625;
}
.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: #ffffff;
}
.btn-info {
  color: #ffffff;
  background-color: #5bc0de;
  border-color: #46b8da;
}
.btn-info:focus,
.btn-info.focus {
  color: #ffffff;
  background-color: #31b0d5;
  border-color: #1b6d85;
}
.btn-info:hover {
  color: #ffffff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.btn-info:active,
.btn-info.active,
.open > .dropdown-toggle.btn-info {
  color: #ffffff;
  background-color: #31b0d5;
  background-image: none;
  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: #ffffff;
  background-color: #269abc;
  border-color: #1b6d85;
}
.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: #ffffff;
}
.btn-warning {
  color: #ffffff;
  background-color: #f0ad4e;
  border-color: #eea236;
}
.btn-warning:focus,
.btn-warning.focus {
  color: #ffffff;
  background-color: #ec971f;
  border-color: #985f0d;
}
.btn-warning:hover {
  color: #ffffff;
  background-color: #ec971f;
  border-color: #d58512;
}
.btn-warning:active,
.btn-warning.active,
.open > .dropdown-toggle.btn-warning {
  color: #ffffff;
  background-color: #ec971f;
  background-image: none;
  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: #ffffff;
  background-color: #d58512;
  border-color: #985f0d;
}
.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: #ffffff;
}
.btn-danger {
  color: #ffffff;
  background-color: #d9534f;
  border-color: #d43f3a;
}
.btn-danger:focus,
.btn-danger.focus {
  color: #ffffff;
  background-color: #c9302c;
  border-color: #761c19;
}
.btn-danger:hover {
  color: #ffffff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.btn-danger:active,
.btn-danger.active,
.open > .dropdown-toggle.btn-danger {
  color: #ffffff;
  background-color: #c9302c;
  background-image: none;
  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: #ffffff;
  background-color: #ac2925;
  border-color: #761c19;
}
.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: #ffffff;
}
.btn-link {
  font-weight: 400;
  color: #296eaa;
  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: #1a466c;
  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;
  font-size: 13px;
  text-align: left;
  list-style: none;
  background-color: #ffffff;
  background-clip: padding-box;
  border: 1px solid #cccccc;
  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);
}
.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: 400;
  line-height: 1.42857143;
  color: #333333;
  white-space: nowrap;
}
.dropdown-menu > li > a:hover,
.dropdown-menu > li > a:focus {
  color: #262626;
  text-decoration: none;
  background-color: #f5f5f5;
}
.dropdown-menu > .active > a,
.dropdown-menu > .active > a:hover,
.dropdown-menu > .active > a:focus {
  color: #ffffff;
  text-decoration: none;
  background-color: #337ab7;
  outline: 0;
}
.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;
  cursor: not-allowed;
  background-color: transparent;
  background-image: none;
  filter: progid:DXImageTransform.Microsoft.gradient(enabled = false);
}
.open > .dropdown-menu {
  display: block;
}
.open > a {
  outline: 0;
}
.dropdown-menu-right {
  right: 0;
  left: auto;
}
.dropdown-menu-left {
  right: auto;
  left: 0;
}
.dropdown-header {
  display: block;
  padding: 3px 20px;
  font-size: 12px;
  line-height: 1.42857143;
  color: #777777;
  white-space: nowrap;
}
.dropdown-backdrop {
  position: fixed;
  top: 0;
  right: 0;
  bottom: 0;
  left: 0;
  z-index: 990;
}
.pull-right > .dropdown-menu {
  right: 0;
  left: auto;
}
.dropup .caret,
.navbar-fixed-bottom .dropdown .caret {
  content: "";
  border-top: 0;
  border-bottom: 4px dashed;
  border-bottom: 4px solid \9;
}
.dropup .dropdown-menu,
.navbar-fixed-bottom .dropdown .dropdown-menu {
  top: auto;
  bottom: 100%;
  margin-bottom: 2px;
}
@media (min-width: 541px) {
  .navbar-right .dropdown-menu {
    right: 0;
    left: auto;
  }
  .navbar-right .dropdown-menu-left {
    right: auto;
    left: 0;
  }
}
.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-top-right-radius: 0;
  border-bottom-right-radius: 0;
}
.btn-group > .btn:last-child:not(:first-child),
.btn-group > .dropdown-toggle:not(:first-child) {
  border-top-left-radius: 0;
  border-bottom-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-top-right-radius: 0;
  border-bottom-right-radius: 0;
}
.btn-group > .btn-group:last-child:not(:first-child) > .btn:first-child {
  border-top-left-radius: 0;
  border-bottom-left-radius: 0;
}
.btn-group .dropdown-toggle:active,
.btn-group.open .dropdown-toggle {
  outline: 0;
}
.btn-group > .btn + .dropdown-toggle {
  padding-right: 8px;
  padding-left: 8px;
}
.btn-group > .btn-lg + .dropdown-toggle {
  padding-right: 12px;
  padding-left: 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-left-radius: 2px;
  border-top-right-radius: 2px;
  border-bottom-right-radius: 0;
  border-bottom-left-radius: 0;
}
.btn-group-vertical > .btn:last-child:not(:first-child) {
  border-top-left-radius: 0;
  border-top-right-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-left-radius: 0;
  border-top-right-radius: 0;
}
.btn-group-justified {
  display: table;
  width: 100%;
  table-layout: fixed;
  border-collapse: separate;
}
.btn-group-justified > .btn,
.btn-group-justified > .btn-group {
  display: table-cell;
  float: none;
  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-right: 0;
  padding-left: 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: 400;
  line-height: 1;
  color: #555555;
  text-align: center;
  background-color: #eeeeee;
  border: 1px solid #cccccc;
  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-top-right-radius: 0;
  border-bottom-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-top-left-radius: 0;
  border-bottom-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 {
  padding-left: 0;
  margin-bottom: 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;
  cursor: not-allowed;
  background-color: transparent;
}
.nav .open > a,
.nav .open > a:hover,
.nav .open > a:focus {
  background-color: #eeeeee;
  border-color: #296eaa;
}
.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 #dddddd;
}
.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 #dddddd;
}
.nav-tabs > li.active > a,
.nav-tabs > li.active > a:hover,
.nav-tabs > li.active > a:focus {
  color: #555555;
  cursor: default;
  background-color: #ffffff;
  border: 1px solid #dddddd;
  border-bottom-color: transparent;
}
.nav-tabs.nav-justified {
  width: 100%;
  border-bottom: 0;
}
.nav-tabs.nav-justified > li {
  float: none;
}
.nav-tabs.nav-justified > li > a {
  margin-bottom: 5px;
  text-align: center;
}
.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 #dddddd;
}
@media (min-width: 768px) {
  .nav-tabs.nav-justified > li > a {
    border-bottom: 1px solid #dddddd;
    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: #ffffff;
  }
}
.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: #ffffff;
  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 {
  margin-bottom: 5px;
  text-align: center;
}
.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 #dddddd;
}
@media (min-width: 768px) {
  .nav-tabs-justified > li > a {
    border-bottom: 1px solid #dddddd;
    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: #ffffff;
  }
}
.tab-content > .tab-pane {
  display: none;
}
.tab-content > .active {
  display: block;
}
.nav-tabs .dropdown-menu {
  margin-top: -1px;
  border-top-left-radius: 0;
  border-top-right-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 {
  padding-right: 0px;
  padding-left: 0px;
  overflow-x: visible;
  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-right: 0;
    padding-left: 0;
  }
}
.navbar-fixed-top,
.navbar-fixed-bottom {
  position: fixed;
  right: 0;
  left: 0;
  z-index: 1030;
}
.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;
  }
}
@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;
}
.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-brand {
  float: left;
  height: 30px;
  padding: 6px 0px;
  font-size: 17px;
  line-height: 18px;
}
.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;
  padding: 9px 10px;
  margin-right: 0px;
  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 {
  padding: 10px 0px;
  margin-right: 0px;
  margin-left: 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;
    padding-top: 0;
    padding-bottom: 0;
    margin-right: 0;
    margin-left: 0;
    border: 0;
    -webkit-box-shadow: none;
    box-shadow: none;
  }
}
.navbar-nav > li > .dropdown-menu {
  margin-top: 0;
  border-top-left-radius: 0;
  border-top-right-radius: 0;
}
.navbar-fixed-bottom .navbar-nav > li > .dropdown-menu {
  margin-bottom: 0;
  border-top-left-radius: 2px;
  border-top-right-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-right: 0px;
    margin-left: 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: #565656;
}
.navbar-default .navbar-brand:hover,
.navbar-default .navbar-brand:focus {
  color: #3c3c3c;
  background-color: transparent;
}
.navbar-default .navbar-text {
  color: #777777;
}
.navbar-default .navbar-nav > li > a {
  color: #565656;
}
.navbar-default .navbar-nav > li > a:hover,
.navbar-default .navbar-nav > li > a:focus {
  color: #333333;
  background-color: transparent;
}
.navbar-default .navbar-nav > .active > a,
.navbar-default .navbar-nav > .active > a:hover,
.navbar-default .navbar-nav > .active > a:focus {
  color: #555555;
  background-color: #e7e7e7;
}
.navbar-default .navbar-nav > .disabled > a,
.navbar-default .navbar-nav > .disabled > a:hover,
.navbar-default .navbar-nav > .disabled > a:focus {
  color: #cccccc;
  background-color: transparent;
}
.navbar-default .navbar-nav > .open > a,
.navbar-default .navbar-nav > .open > a:hover,
.navbar-default .navbar-nav > .open > a:focus {
  color: #555555;
  background-color: #e7e7e7;
}
@media (max-width: 540px) {
  .navbar-default .navbar-nav .open .dropdown-menu > li > a {
    color: #565656;
  }
  .navbar-default .navbar-nav .open .dropdown-menu > li > a:hover,
  .navbar-default .navbar-nav .open .dropdown-menu > li > a:focus {
    color: #333333;
    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: #555555;
    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: #cccccc;
    background-color: transparent;
  }
}
.navbar-default .navbar-toggle {
  border-color: #dddddd;
}
.navbar-default .navbar-toggle:hover,
.navbar-default .navbar-toggle:focus {
  background-color: #dddddd;
}
.navbar-default .navbar-toggle .icon-bar {
  background-color: #888888;
}
.navbar-default .navbar-collapse,
.navbar-default .navbar-form {
  border-color: #e7e7e7;
}
.navbar-default .navbar-link {
  color: #565656;
}
.navbar-default .navbar-link:hover {
  color: #333333;
}
.navbar-default .btn-link {
  color: #565656;
}
.navbar-default .btn-link:hover,
.navbar-default .btn-link:focus {
  color: #333333;
}
.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: #cccccc;
}
.navbar-inverse {
  background-color: #222222;
  border-color: #080808;
}
.navbar-inverse .navbar-brand {
  color: #9d9d9d;
}
.navbar-inverse .navbar-brand:hover,
.navbar-inverse .navbar-brand:focus {
  color: #ffffff;
  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: #ffffff;
  background-color: transparent;
}
.navbar-inverse .navbar-nav > .active > a,
.navbar-inverse .navbar-nav > .active > a:hover,
.navbar-inverse .navbar-nav > .active > a:focus {
  color: #ffffff;
  background-color: #080808;
}
.navbar-inverse .navbar-nav > .disabled > a,
.navbar-inverse .navbar-nav > .disabled > a:hover,
.navbar-inverse .navbar-nav > .disabled > a:focus {
  color: #444444;
  background-color: transparent;
}
.navbar-inverse .navbar-nav > .open > a,
.navbar-inverse .navbar-nav > .open > a:hover,
.navbar-inverse .navbar-nav > .open > a:focus {
  color: #ffffff;
  background-color: #080808;
}
@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: #ffffff;
    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: #ffffff;
    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: #444444;
    background-color: transparent;
  }
}
.navbar-inverse .navbar-toggle {
  border-color: #333333;
}
.navbar-inverse .navbar-toggle:hover,
.navbar-inverse .navbar-toggle:focus {
  background-color: #333333;
}
.navbar-inverse .navbar-toggle .icon-bar {
  background-color: #ffffff;
}
.navbar-inverse .navbar-collapse,
.navbar-inverse .navbar-form {
  border-color: #101010;
}
.navbar-inverse .navbar-link {
  color: #9d9d9d;
}
.navbar-inverse .navbar-link:hover {
  color: #ffffff;
}
.navbar-inverse .btn-link {
  color: #9d9d9d;
}
.navbar-inverse .btn-link:hover,
.navbar-inverse .btn-link:focus {
  color: #ffffff;
}
.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: #444444;
}
.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 {
  padding: 0 5px;
  color: #5e5e5e;
  content: "/\00a0";
}
.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;
  margin-left: -1px;
  line-height: 1.42857143;
  color: #296eaa;
  text-decoration: none;
  background-color: #ffffff;
  border: 1px solid #dddddd;
}
.pagination > li > a:hover,
.pagination > li > span:hover,
.pagination > li > a:focus,
.pagination > li > span:focus {
  z-index: 2;
  color: #1a466c;
  background-color: #eeeeee;
  border-color: #dddddd;
}
.pagination > li:first-child > a,
.pagination > li:first-child > span {
  margin-left: 0;
  border-top-left-radius: 2px;
  border-bottom-left-radius: 2px;
}
.pagination > li:last-child > a,
.pagination > li:last-child > span {
  border-top-right-radius: 2px;
  border-bottom-right-radius: 2px;
}
.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: #ffffff;
  cursor: default;
  background-color: #337ab7;
  border-color: #337ab7;
}
.pagination > .disabled > span,
.pagination > .disabled > span:hover,
.pagination > .disabled > span:focus,
.pagination > .disabled > a,
.pagination > .disabled > a:hover,
.pagination > .disabled > a:focus {
  color: #777777;
  cursor: not-allowed;
  background-color: #ffffff;
  border-color: #dddddd;
}
.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-top-left-radius: 3px;
  border-bottom-left-radius: 3px;
}
.pagination-lg > li:last-child > a,
.pagination-lg > li:last-child > span {
  border-top-right-radius: 3px;
  border-bottom-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-top-left-radius: 1px;
  border-bottom-left-radius: 1px;
}
.pagination-sm > li:last-child > a,
.pagination-sm > li:last-child > span {
  border-top-right-radius: 1px;
  border-bottom-right-radius: 1px;
}
.pager {
  padding-left: 0;
  margin: 18px 0;
  text-align: center;
  list-style: none;
}
.pager li {
  display: inline;
}
.pager li > a,
.pager li > span {
  display: inline-block;
  padding: 5px 14px;
  background-color: #ffffff;
  border: 1px solid #dddddd;
  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;
  cursor: not-allowed;
  background-color: #ffffff;
}
.label {
  display: inline;
  padding: .2em .6em .3em;
  font-size: 75%;
  font-weight: 700;
  line-height: 1;
  color: #ffffff;
  text-align: center;
  white-space: nowrap;
  vertical-align: baseline;
  border-radius: .25em;
}
a.label:hover,
a.label:focus {
  color: #ffffff;
  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;
  line-height: 1;
  color: #ffffff;
  text-align: center;
  white-space: nowrap;
  vertical-align: middle;
  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: #ffffff;
  text-decoration: none;
  cursor: pointer;
}
.list-group-item.active > .badge,
.nav-pills > .active > a > .badge {
  color: #296eaa;
  background-color: #ffffff;
}
.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 {
  padding-right: 0px;
  padding-left: 0px;
  border-radius: 3px;
}
.jumbotron .container {
  max-width: 100%;
}
@media screen and (min-width: 768px) {
  .jumbotron {
    padding-top: 48px;
    padding-bottom: 48px;
  }
  .container .jumbotron,
  .container-fluid .jumbotron {
    padding-right: 60px;
    padding-left: 60px;
  }
  .jumbotron h1,
  .jumbotron .h1 {
    font-size: 59px;
  }
}
.thumbnail {
  display: block;
  padding: 4px;
  margin-bottom: 18px;
  line-height: 1.42857143;
  background-color: #ffffff;
  border: 1px solid #dddddd;
  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-right: auto;
  margin-left: auto;
}
a.thumbnail:hover,
a.thumbnail:focus,
a.thumbnail.active {
  border-color: #296eaa;
}
.thumbnail .caption {
  padding: 9px;
  color: #000000;
}
.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 {
  color: #3c763d;
  background-color: #dff0d8;
  border-color: #d6e9c6;
}
.alert-success hr {
  border-top-color: #c9e2b3;
}
.alert-success .alert-link {
  color: #2b542c;
}
.alert-info {
  color: #31708f;
  background-color: #d9edf7;
  border-color: #bce8f1;
}
.alert-info hr {
  border-top-color: #a6e1ec;
}
.alert-info .alert-link {
  color: #245269;
}
.alert-warning {
  color: #8a6d3b;
  background-color: #fcf8e3;
  border-color: #faebcc;
}
.alert-warning hr {
  border-top-color: #f7e1b5;
}
.alert-warning .alert-link {
  color: #66512c;
}
.alert-danger {
  color: #a94442;
  background-color: #f2dede;
  border-color: #ebccd1;
}
.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 {
  height: 18px;
  margin-bottom: 18px;
  overflow: hidden;
  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: #ffffff;
  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 {
  overflow: hidden;
  zoom: 1;
}
.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 {
  padding-left: 0;
  margin-bottom: 20px;
}
.list-group-item {
  position: relative;
  display: block;
  padding: 10px 15px;
  margin-bottom: -1px;
  background-color: #ffffff;
  border: 1px solid #dddddd;
}
.list-group-item:first-child {
  border-top-left-radius: 2px;
  border-top-right-radius: 2px;
}
.list-group-item:last-child {
  margin-bottom: 0;
  border-bottom-right-radius: 2px;
  border-bottom-left-radius: 2px;
}
.list-group-item.disabled,
.list-group-item.disabled:hover,
.list-group-item.disabled:focus {
  color: #777777;
  cursor: not-allowed;
  background-color: #eeeeee;
}
.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: #ffffff;
  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;
}
a.list-group-item,
button.list-group-item {
  color: #555555;
}
a.list-group-item .list-group-item-heading,
button.list-group-item .list-group-item-heading {
  color: #333333;
}
a.list-group-item:hover,
button.list-group-item:hover,
a.list-group-item:focus,
button.list-group-item:focus {
  color: #555555;
  text-decoration: none;
  background-color: #f5f5f5;
}
button.list-group-item {
  width: 100%;
  text-align: left;
}
.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: #ffffff;
  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-left-radius: 1px;
  border-top-right-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 #dddddd;
  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-left-radius: 1px;
  border-top-right-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-left-radius: 0;
  border-top-right-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-right: 15px;
  padding-left: 15px;
}
.panel > .table:first-child,
.panel > .table-responsive:first-child > .table:first-child {
  border-top-left-radius: 1px;
  border-top-right-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-right-radius: 1px;
  border-bottom-left-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 #dddddd;
}
.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 {
  margin-bottom: 0;
  border: 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 #dddddd;
}
.panel-group .panel-footer {
  border-top: 0;
}
.panel-group .panel-footer + .panel-collapse .panel-body {
  border-bottom: 1px solid #dddddd;
}
.panel-default {
  border-color: #dddddd;
}
.panel-default > .panel-heading {
  color: #333333;
  background-color: #f5f5f5;
  border-color: #dddddd;
}
.panel-default > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #dddddd;
}
.panel-default > .panel-heading .badge {
  color: #f5f5f5;
  background-color: #333333;
}
.panel-default > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #dddddd;
}
.panel-primary {
  border-color: #337ab7;
}
.panel-primary > .panel-heading {
  color: #ffffff;
  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: #ffffff;
}
.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;
  bottom: 0;
  left: 0;
  width: 100%;
  height: 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: #000000;
  text-shadow: 0 1px 0 #ffffff;
  filter: alpha(opacity=20);
  opacity: 0.2;
}
.close:hover,
.close:focus {
  color: #000000;
  text-decoration: none;
  cursor: pointer;
  filter: alpha(opacity=50);
  opacity: 0.5;
}
button.close {
  padding: 0;
  cursor: pointer;
  background: transparent;
  border: 0;
  -webkit-appearance: none;
  appearance: none;
}
.modal-open {
  overflow: hidden;
}
.modal {
  position: fixed;
  top: 0;
  right: 0;
  bottom: 0;
  left: 0;
  z-index: 1050;
  display: none;
  overflow: hidden;
  -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: #ffffff;
  background-clip: padding-box;
  border: 1px solid #999999;
  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);
  outline: 0;
}
.modal-backdrop {
  position: fixed;
  top: 0;
  right: 0;
  bottom: 0;
  left: 0;
  z-index: 1040;
  background-color: #000000;
}
.modal-backdrop.fade {
  filter: alpha(opacity=0);
  opacity: 0;
}
.modal-backdrop.in {
  filter: alpha(opacity=50);
  opacity: 0.5;
}
.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-bottom: 0;
  margin-left: 5px;
}
.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: 400;
  line-height: 1.42857143;
  line-break: auto;
  text-align: left;
  text-align: start;
  text-decoration: none;
  text-shadow: none;
  text-transform: none;
  letter-spacing: normal;
  word-break: normal;
  word-spacing: normal;
  word-wrap: normal;
  white-space: normal;
  font-size: 12px;
  filter: alpha(opacity=0);
  opacity: 0;
}
.tooltip.in {
  filter: alpha(opacity=90);
  opacity: 0.9;
}
.tooltip.top {
  padding: 5px 0;
  margin-top: -3px;
}
.tooltip.right {
  padding: 0 5px;
  margin-left: 3px;
}
.tooltip.bottom {
  padding: 5px 0;
  margin-top: 3px;
}
.tooltip.left {
  padding: 0 5px;
  margin-left: -3px;
}
.tooltip.top .tooltip-arrow {
  bottom: 0;
  left: 50%;
  margin-left: -5px;
  border-width: 5px 5px 0;
  border-top-color: #000000;
}
.tooltip.top-left .tooltip-arrow {
  right: 5px;
  bottom: 0;
  margin-bottom: -5px;
  border-width: 5px 5px 0;
  border-top-color: #000000;
}
.tooltip.top-right .tooltip-arrow {
  bottom: 0;
  left: 5px;
  margin-bottom: -5px;
  border-width: 5px 5px 0;
  border-top-color: #000000;
}
.tooltip.right .tooltip-arrow {
  top: 50%;
  left: 0;
  margin-top: -5px;
  border-width: 5px 5px 5px 0;
  border-right-color: #000000;
}
.tooltip.left .tooltip-arrow {
  top: 50%;
  right: 0;
  margin-top: -5px;
  border-width: 5px 0 5px 5px;
  border-left-color: #000000;
}
.tooltip.bottom .tooltip-arrow {
  top: 0;
  left: 50%;
  margin-left: -5px;
  border-width: 0 5px 5px;
  border-bottom-color: #000000;
}
.tooltip.bottom-left .tooltip-arrow {
  top: 0;
  right: 5px;
  margin-top: -5px;
  border-width: 0 5px 5px;
  border-bottom-color: #000000;
}
.tooltip.bottom-right .tooltip-arrow {
  top: 0;
  left: 5px;
  margin-top: -5px;
  border-width: 0 5px 5px;
  border-bottom-color: #000000;
}
.tooltip-inner {
  max-width: 200px;
  padding: 3px 8px;
  color: #ffffff;
  text-align: center;
  background-color: #000000;
  border-radius: 2px;
}
.tooltip-arrow {
  position: absolute;
  width: 0;
  height: 0;
  border-color: transparent;
  border-style: solid;
}
.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: 400;
  line-height: 1.42857143;
  line-break: auto;
  text-align: left;
  text-align: start;
  text-decoration: none;
  text-shadow: none;
  text-transform: none;
  letter-spacing: normal;
  word-break: normal;
  word-spacing: normal;
  word-wrap: normal;
  white-space: normal;
  font-size: 13px;
  background-color: #ffffff;
  background-clip: padding-box;
  border: 1px solid #cccccc;
  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 > .arrow {
  border-width: 11px;
}
.popover > .arrow,
.popover > .arrow:after {
  position: absolute;
  display: block;
  width: 0;
  height: 0;
  border-color: transparent;
  border-style: solid;
}
.popover > .arrow:after {
  content: "";
  border-width: 10px;
}
.popover.top > .arrow {
  bottom: -11px;
  left: 50%;
  margin-left: -11px;
  border-top-color: #999999;
  border-top-color: rgba(0, 0, 0, 0.25);
  border-bottom-width: 0;
}
.popover.top > .arrow:after {
  bottom: 1px;
  margin-left: -10px;
  content: " ";
  border-top-color: #ffffff;
  border-bottom-width: 0;
}
.popover.right > .arrow {
  top: 50%;
  left: -11px;
  margin-top: -11px;
  border-right-color: #999999;
  border-right-color: rgba(0, 0, 0, 0.25);
  border-left-width: 0;
}
.popover.right > .arrow:after {
  bottom: -10px;
  left: 1px;
  content: " ";
  border-right-color: #ffffff;
  border-left-width: 0;
}
.popover.bottom > .arrow {
  top: -11px;
  left: 50%;
  margin-left: -11px;
  border-top-width: 0;
  border-bottom-color: #999999;
  border-bottom-color: rgba(0, 0, 0, 0.25);
}
.popover.bottom > .arrow:after {
  top: 1px;
  margin-left: -10px;
  content: " ";
  border-top-width: 0;
  border-bottom-color: #ffffff;
}
.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 {
  right: 1px;
  bottom: -10px;
  content: " ";
  border-right-width: 0;
  border-left-color: #ffffff;
}
.popover-title {
  padding: 8px 14px;
  margin: 0;
  font-size: 13px;
  background-color: #f7f7f7;
  border-bottom: 1px solid #ebebeb;
  border-radius: 2px 2px 0 0;
}
.popover-content {
  padding: 9px 14px;
}
.carousel {
  position: relative;
}
.carousel-inner {
  position: relative;
  width: 100%;
  overflow: hidden;
}
.carousel-inner > .item {
  position: relative;
  display: none;
  -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;
  bottom: 0;
  left: 0;
  width: 15%;
  font-size: 20px;
  color: #ffffff;
  text-align: center;
  text-shadow: 0 1px 2px rgba(0, 0, 0, 0.6);
  background-color: rgba(0, 0, 0, 0);
  filter: alpha(opacity=50);
  opacity: 0.5;
}
.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%);
  filter: progid:DXImageTransform.Microsoft.gradient(startColorstr='#80000000', endColorstr='#00000000', GradientType=1);
  background-repeat: repeat-x;
}
.carousel-control.right {
  right: 0;
  left: auto;
  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%);
  filter: progid:DXImageTransform.Microsoft.gradient(startColorstr='#00000000', endColorstr='#80000000', GradientType=1);
  background-repeat: repeat-x;
}
.carousel-control:hover,
.carousel-control:focus {
  color: #ffffff;
  text-decoration: none;
  outline: 0;
  filter: alpha(opacity=90);
  opacity: 0.9;
}
.carousel-control .icon-prev,
.carousel-control .icon-next,
.carousel-control .glyphicon-chevron-left,
.carousel-control .glyphicon-chevron-right {
  position: absolute;
  top: 50%;
  z-index: 5;
  display: inline-block;
  margin-top: -10px;
}
.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;
  font-family: serif;
  line-height: 1;
}
.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%;
  padding-left: 0;
  margin-left: -30%;
  text-align: center;
  list-style: none;
}
.carousel-indicators li {
  display: inline-block;
  width: 10px;
  height: 10px;
  margin: 1px;
  text-indent: -999px;
  cursor: pointer;
  background-color: #000 \9;
  background-color: rgba(0, 0, 0, 0);
  border: 1px solid #ffffff;
  border-radius: 10px;
}
.carousel-indicators .active {
  width: 12px;
  height: 12px;
  margin: 0;
  background-color: #ffffff;
}
.carousel-caption {
  position: absolute;
  right: 15%;
  bottom: 20px;
  left: 15%;
  z-index: 10;
  padding-top: 20px;
  padding-bottom: 20px;
  color: #ffffff;
  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 {
    right: 20%;
    left: 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 {
  display: table;
  content: " ";
}
.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-right: auto;
  margin-left: 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 4.7.0 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=4.7.0');
  src: url('../components/font-awesome/fonts/fontawesome-webfont.eot?#iefix&v=4.7.0') format('embedded-opentype'), url('../components/font-awesome/fonts/fontawesome-webfont.woff2?v=4.7.0') format('woff2'), url('../components/font-awesome/fonts/fontawesome-webfont.woff?v=4.7.0') format('woff'), url('../components/font-awesome/fonts/fontawesome-webfont.ttf?v=4.7.0') format('truetype'), url('../components/font-awesome/fonts/fontawesome-webfont.svg?v=4.7.0#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 #eeeeee;
  border-radius: .1em;
}
.fa-pull-left {
  float: left;
}
.fa-pull-right {
  float: right;
}
.fa.fa-pull-left {
  margin-right: .3em;
}
.fa.fa-pull-right {
  margin-left: .3em;
}
/* Deprecated as of 4.4.0 */
.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;
}
.fa-pulse {
  -webkit-animation: fa-spin 1s infinite steps(8);
  animation: fa-spin 1s infinite steps(8);
}
@-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 {
  -ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=1)";
  -webkit-transform: rotate(90deg);
  -ms-transform: rotate(90deg);
  transform: rotate(90deg);
}
.fa-rotate-180 {
  -ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=2)";
  -webkit-transform: rotate(180deg);
  -ms-transform: rotate(180deg);
  transform: rotate(180deg);
}
.fa-rotate-270 {
  -ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=3)";
  -webkit-transform: rotate(270deg);
  -ms-transform: rotate(270deg);
  transform: rotate(270deg);
}
.fa-flip-horizontal {
  -ms-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 {
  -ms-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: #ffffff;
}
/* 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-f:before,
.fa-facebook:before {
  content: "\f09a";
}
.fa-github:before {
  content: "\f09b";
}
.fa-unlock:before {
  content: "\f09c";
}
.fa-credit-card:before {
  content: "\f09d";
}
.fa-feed:before,
.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,
.fa-gratipay: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-pp: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-resistance: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-y-combinator-square:before,
.fa-yc-square:before,
.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";
}
.fa-buysellads:before {
  content: "\f20d";
}
.fa-connectdevelop:before {
  content: "\f20e";
}
.fa-dashcube:before {
  content: "\f210";
}
.fa-forumbee:before {
  content: "\f211";
}
.fa-leanpub:before {
  content: "\f212";
}
.fa-sellsy:before {
  content: "\f213";
}
.fa-shirtsinbulk:before {
  content: "\f214";
}
.fa-simplybuilt:before {
  content: "\f215";
}
.fa-skyatlas:before {
  content: "\f216";
}
.fa-cart-plus:before {
  content: "\f217";
}
.fa-cart-arrow-down:before {
  content: "\f218";
}
.fa-diamond:before {
  content: "\f219";
}
.fa-ship:before {
  content: "\f21a";
}
.fa-user-secret:before {
  content: "\f21b";
}
.fa-motorcycle:before {
  content: "\f21c";
}
.fa-street-view:before {
  content: "\f21d";
}
.fa-heartbeat:before {
  content: "\f21e";
}
.fa-venus:before {
  content: "\f221";
}
.fa-mars:before {
  content: "\f222";
}
.fa-mercury:before {
  content: "\f223";
}
.fa-intersex:before,
.fa-transgender:before {
  content: "\f224";
}
.fa-transgender-alt:before {
  content: "\f225";
}
.fa-venus-double:before {
  content: "\f226";
}
.fa-mars-double:before {
  content: "\f227";
}
.fa-venus-mars:before {
  content: "\f228";
}
.fa-mars-stroke:before {
  content: "\f229";
}
.fa-mars-stroke-v:before {
  content: "\f22a";
}
.fa-mars-stroke-h:before {
  content: "\f22b";
}
.fa-neuter:before {
  content: "\f22c";
}
.fa-genderless:before {
  content: "\f22d";
}
.fa-facebook-official:before {
  content: "\f230";
}
.fa-pinterest-p:before {
  content: "\f231";
}
.fa-whatsapp:before {
  content: "\f232";
}
.fa-server:before {
  content: "\f233";
}
.fa-user-plus:before {
  content: "\f234";
}
.fa-user-times:before {
  content: "\f235";
}
.fa-hotel:before,
.fa-bed:before {
  content: "\f236";
}
.fa-viacoin:before {
  content: "\f237";
}
.fa-train:before {
  content: "\f238";
}
.fa-subway:before {
  content: "\f239";
}
.fa-medium:before {
  content: "\f23a";
}
.fa-yc:before,
.fa-y-combinator:before {
  content: "\f23b";
}
.fa-optin-monster:before {
  content: "\f23c";
}
.fa-opencart:before {
  content: "\f23d";
}
.fa-expeditedssl:before {
  content: "\f23e";
}
.fa-battery-4:before,
.fa-battery:before,
.fa-battery-full:before {
  content: "\f240";
}
.fa-battery-3:before,
.fa-battery-three-quarters:before {
  content: "\f241";
}
.fa-battery-2:before,
.fa-battery-half:before {
  content: "\f242";
}
.fa-battery-1:before,
.fa-battery-quarter:before {
  content: "\f243";
}
.fa-battery-0:before,
.fa-battery-empty:before {
  content: "\f244";
}
.fa-mouse-pointer:before {
  content: "\f245";
}
.fa-i-cursor:before {
  content: "\f246";
}
.fa-object-group:before {
  content: "\f247";
}
.fa-object-ungroup:before {
  content: "\f248";
}
.fa-sticky-note:before {
  content: "\f249";
}
.fa-sticky-note-o:before {
  content: "\f24a";
}
.fa-cc-jcb:before {
  content: "\f24b";
}
.fa-cc-diners-club:before {
  content: "\f24c";
}
.fa-clone:before {
  content: "\f24d";
}
.fa-balance-scale:before {
  content: "\f24e";
}
.fa-hourglass-o:before {
  content: "\f250";
}
.fa-hourglass-1:before,
.fa-hourglass-start:before {
  content: "\f251";
}
.fa-hourglass-2:before,
.fa-hourglass-half:before {
  content: "\f252";
}
.fa-hourglass-3:before,
.fa-hourglass-end:before {
  content: "\f253";
}
.fa-hourglass:before {
  content: "\f254";
}
.fa-hand-grab-o:before,
.fa-hand-rock-o:before {
  content: "\f255";
}
.fa-hand-stop-o:before,
.fa-hand-paper-o:before {
  content: "\f256";
}
.fa-hand-scissors-o:before {
  content: "\f257";
}
.fa-hand-lizard-o:before {
  content: "\f258";
}
.fa-hand-spock-o:before {
  content: "\f259";
}
.fa-hand-pointer-o:before {
  content: "\f25a";
}
.fa-hand-peace-o:before {
  content: "\f25b";
}
.fa-trademark:before {
  content: "\f25c";
}
.fa-registered:before {
  content: "\f25d";
}
.fa-creative-commons:before {
  content: "\f25e";
}
.fa-gg:before {
  content: "\f260";
}
.fa-gg-circle:before {
  content: "\f261";
}
.fa-tripadvisor:before {
  content: "\f262";
}
.fa-odnoklassniki:before {
  content: "\f263";
}
.fa-odnoklassniki-square:before {
  content: "\f264";
}
.fa-get-pocket:before {
  content: "\f265";
}
.fa-wikipedia-w:before {
  content: "\f266";
}
.fa-safari:before {
  content: "\f267";
}
.fa-chrome:before {
  content: "\f268";
}
.fa-firefox:before {
  content: "\f269";
}
.fa-opera:before {
  content: "\f26a";
}
.fa-internet-explorer:before {
  content: "\f26b";
}
.fa-tv:before,
.fa-television:before {
  content: "\f26c";
}
.fa-contao:before {
  content: "\f26d";
}
.fa-500px:before {
  content: "\f26e";
}
.fa-amazon:before {
  content: "\f270";
}
.fa-calendar-plus-o:before {
  content: "\f271";
}
.fa-calendar-minus-o:before {
  content: "\f272";
}
.fa-calendar-times-o:before {
  content: "\f273";
}
.fa-calendar-check-o:before {
  content: "\f274";
}
.fa-industry:before {
  content: "\f275";
}
.fa-map-pin:before {
  content: "\f276";
}
.fa-map-signs:before {
  content: "\f277";
}
.fa-map-o:before {
  content: "\f278";
}
.fa-map:before {
  content: "\f279";
}
.fa-commenting:before {
  content: "\f27a";
}
.fa-commenting-o:before {
  content: "\f27b";
}
.fa-houzz:before {
  content: "\f27c";
}
.fa-vimeo:before {
  content: "\f27d";
}
.fa-black-tie:before {
  content: "\f27e";
}
.fa-fonticons:before {
  content: "\f280";
}
.fa-reddit-alien:before {
  content: "\f281";
}
.fa-edge:before {
  content: "\f282";
}
.fa-credit-card-alt:before {
  content: "\f283";
}
.fa-codiepie:before {
  content: "\f284";
}
.fa-modx:before {
  content: "\f285";
}
.fa-fort-awesome:before {
  content: "\f286";
}
.fa-usb:before {
  content: "\f287";
}
.fa-product-hunt:before {
  content: "\f288";
}
.fa-mixcloud:before {
  content: "\f289";
}
.fa-scribd:before {
  content: "\f28a";
}
.fa-pause-circle:before {
  content: "\f28b";
}
.fa-pause-circle-o:before {
  content: "\f28c";
}
.fa-stop-circle:before {
  content: "\f28d";
}
.fa-stop-circle-o:before {
  content: "\f28e";
}
.fa-shopping-bag:before {
  content: "\f290";
}
.fa-shopping-basket:before {
  content: "\f291";
}
.fa-hashtag:before {
  content: "\f292";
}
.fa-bluetooth:before {
  content: "\f293";
}
.fa-bluetooth-b:before {
  content: "\f294";
}
.fa-percent:before {
  content: "\f295";
}
.fa-gitlab:before {
  content: "\f296";
}
.fa-wpbeginner:before {
  content: "\f297";
}
.fa-wpforms:before {
  content: "\f298";
}
.fa-envira:before {
  content: "\f299";
}
.fa-universal-access:before {
  content: "\f29a";
}
.fa-wheelchair-alt:before {
  content: "\f29b";
}
.fa-question-circle-o:before {
  content: "\f29c";
}
.fa-blind:before {
  content: "\f29d";
}
.fa-audio-description:before {
  content: "\f29e";
}
.fa-volume-control-phone:before {
  content: "\f2a0";
}
.fa-braille:before {
  content: "\f2a1";
}
.fa-assistive-listening-systems:before {
  content: "\f2a2";
}
.fa-asl-interpreting:before,
.fa-american-sign-language-interpreting:before {
  content: "\f2a3";
}
.fa-deafness:before,
.fa-hard-of-hearing:before,
.fa-deaf:before {
  content: "\f2a4";
}
.fa-glide:before {
  content: "\f2a5";
}
.fa-glide-g:before {
  content: "\f2a6";
}
.fa-signing:before,
.fa-sign-language:before {
  content: "\f2a7";
}
.fa-low-vision:before {
  content: "\f2a8";
}
.fa-viadeo:before {
  content: "\f2a9";
}
.fa-viadeo-square:before {
  content: "\f2aa";
}
.fa-snapchat:before {
  content: "\f2ab";
}
.fa-snapchat-ghost:before {
  content: "\f2ac";
}
.fa-snapchat-square:before {
  content: "\f2ad";
}
.fa-pied-piper:before {
  content: "\f2ae";
}
.fa-first-order:before {
  content: "\f2b0";
}
.fa-yoast:before {
  content: "\f2b1";
}
.fa-themeisle:before {
  content: "\f2b2";
}
.fa-google-plus-circle:before,
.fa-google-plus-official:before {
  content: "\f2b3";
}
.fa-fa:before,
.fa-font-awesome:before {
  content: "\f2b4";
}
.fa-handshake-o:before {
  content: "\f2b5";
}
.fa-envelope-open:before {
  content: "\f2b6";
}
.fa-envelope-open-o:before {
  content: "\f2b7";
}
.fa-linode:before {
  content: "\f2b8";
}
.fa-address-book:before {
  content: "\f2b9";
}
.fa-address-book-o:before {
  content: "\f2ba";
}
.fa-vcard:before,
.fa-address-card:before {
  content: "\f2bb";
}
.fa-vcard-o:before,
.fa-address-card-o:before {
  content: "\f2bc";
}
.fa-user-circle:before {
  content: "\f2bd";
}
.fa-user-circle-o:before {
  content: "\f2be";
}
.fa-user-o:before {
  content: "\f2c0";
}
.fa-id-badge:before {
  content: "\f2c1";
}
.fa-drivers-license:before,
.fa-id-card:before {
  content: "\f2c2";
}
.fa-drivers-license-o:before,
.fa-id-card-o:before {
  content: "\f2c3";
}
.fa-quora:before {
  content: "\f2c4";
}
.fa-free-code-camp:before {
  content: "\f2c5";
}
.fa-telegram:before {
  content: "\f2c6";
}
.fa-thermometer-4:before,
.fa-thermometer:before,
.fa-thermometer-full:before {
  content: "\f2c7";
}
.fa-thermometer-3:before,
.fa-thermometer-three-quarters:before {
  content: "\f2c8";
}
.fa-thermometer-2:before,
.fa-thermometer-half:before {
  content: "\f2c9";
}
.fa-thermometer-1:before,
.fa-thermometer-quarter:before {
  content: "\f2ca";
}
.fa-thermometer-0:before,
.fa-thermometer-empty:before {
  content: "\f2cb";
}
.fa-shower:before {
  content: "\f2cc";
}
.fa-bathtub:before,
.fa-s15:before,
.fa-bath:before {
  content: "\f2cd";
}
.fa-podcast:before {
  content: "\f2ce";
}
.fa-window-maximize:before {
  content: "\f2d0";
}
.fa-window-minimize:before {
  content: "\f2d1";
}
.fa-window-restore:before {
  content: "\f2d2";
}
.fa-times-rectangle:before,
.fa-window-close:before {
  content: "\f2d3";
}
.fa-times-rectangle-o:before,
.fa-window-close-o:before {
  content: "\f2d4";
}
.fa-bandcamp:before {
  content: "\f2d5";
}
.fa-grav:before {
  content: "\f2d6";
}
.fa-etsy:before {
  content: "\f2d7";
}
.fa-imdb:before {
  content: "\f2d8";
}
.fa-ravelry:before {
  content: "\f2d9";
}
.fa-eercast:before {
  content: "\f2da";
}
.fa-microchip:before {
  content: "\f2db";
}
.fa-snowflake-o:before {
  content: "\f2dc";
}
.fa-superpowers:before {
  content: "\f2dd";
}
.fa-wpexplorer:before {
  content: "\f2de";
}
.fa-meetup:before {
  content: "\f2e0";
}
.sr-only {
  position: absolute;
  width: 1px;
  height: 1px;
  padding: 0;
  margin: -1px;
  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;
}
.sr-only-focusable:active,
.sr-only-focusable:focus {
  position: static;
  width: auto;
  height: auto;
  margin: 0;
  overflow: visible;
  clip: auto;
}
/*!
*
* 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: #000000;
}
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 compatibility 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;
}
div.traceback-wrapper pre.traceback {
  max-height: 600px;
  overflow: auto;
}
/**
 * Primary styles
 *
 * Author: Jupyter Development Team
 */
body {
  background-color: #ffffff;
  /* 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: #ffffff;
  /* Display over codemirror */
  position: relative;
  z-index: 100;
}
body > #header #header-container {
  display: flex;
  flex-direction: row;
  justify-content: space-between;
  padding: 5px;
  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;
}
[dir="rtl"] #ipython_notebook {
  margin-right: 10px;
  margin-left: 0;
}
[dir="rtl"] #ipython_notebook.pull-left {
  float: right !important;
  float: right;
}
.flex-spacer {
  flex: 1;
}
#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#kernel_logo_widget {
  margin: 0 10px;
}
span#login_widget {
  float: right;
}
[dir="rtl"] span#login_widget {
  float: left;
}
span#login_widget > .button,
#logout,
#shutdown {
  color: #333333;
  background-color: #ffffff;
  border-color: #cccccc;
  margin-left: 10px;
}
span#login_widget > .button:focus,
#logout:focus,
#shutdown:focus,
span#login_widget > .button.focus,
#logout.focus,
#shutdown.focus {
  color: #333333;
  background-color: #e6e6e6;
  border-color: #8c8c8c;
}
span#login_widget > .button:hover,
#logout:hover,
#shutdown:hover {
  color: #333333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
span#login_widget > .button:active,
#logout:active,
#shutdown:active,
span#login_widget > .button.active,
#logout.active,
#shutdown.active,
.open > .dropdown-togglespan#login_widget > .button,
.open > .dropdown-toggle#logout,
.open > .dropdown-toggle#shutdown {
  color: #333333;
  background-color: #e6e6e6;
  background-image: none;
  border-color: #adadad;
}
span#login_widget > .button:active:hover,
#logout:active:hover,
#shutdown:active:hover,
span#login_widget > .button.active:hover,
#logout.active:hover,
#shutdown.active:hover,
.open > .dropdown-togglespan#login_widget > .button:hover,
.open > .dropdown-toggle#logout:hover,
.open > .dropdown-toggle#shutdown:hover,
span#login_widget > .button:active:focus,
#logout:active:focus,
#shutdown:active:focus,
span#login_widget > .button.active:focus,
#logout.active:focus,
#shutdown.active:focus,
.open > .dropdown-togglespan#login_widget > .button:focus,
.open > .dropdown-toggle#logout:focus,
.open > .dropdown-toggle#shutdown:focus,
span#login_widget > .button:active.focus,
#logout:active.focus,
#shutdown:active.focus,
span#login_widget > .button.active.focus,
#logout.active.focus,
#shutdown.active.focus,
.open > .dropdown-togglespan#login_widget > .button.focus,
.open > .dropdown-toggle#logout.focus,
.open > .dropdown-toggle#shutdown.focus {
  color: #333333;
  background-color: #d4d4d4;
  border-color: #8c8c8c;
}
span#login_widget > .button.disabled:hover,
#logout.disabled:hover,
#shutdown.disabled:hover,
span#login_widget > .button[disabled]:hover,
#logout[disabled]:hover,
#shutdown[disabled]:hover,
fieldset[disabled] span#login_widget > .button:hover,
fieldset[disabled] #logout:hover,
fieldset[disabled] #shutdown:hover,
span#login_widget > .button.disabled:focus,
#logout.disabled:focus,
#shutdown.disabled:focus,
span#login_widget > .button[disabled]:focus,
#logout[disabled]:focus,
#shutdown[disabled]:focus,
fieldset[disabled] span#login_widget > .button:focus,
fieldset[disabled] #logout:focus,
fieldset[disabled] #shutdown:focus,
span#login_widget > .button.disabled.focus,
#logout.disabled.focus,
#shutdown.disabled.focus,
span#login_widget > .button[disabled].focus,
#logout[disabled].focus,
#shutdown[disabled].focus,
fieldset[disabled] span#login_widget > .button.focus,
fieldset[disabled] #logout.focus,
fieldset[disabled] #shutdown.focus {
  background-color: #ffffff;
  border-color: #cccccc;
}
span#login_widget > .button .badge,
#logout .badge,
#shutdown .badge {
  color: #ffffff;
  background-color: #333333;
}
.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;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
  min-height: 80vh;
}
.modal_stretch .modal-dialog .modal-body {
  max-height: calc(100vh - 200px);
  overflow: auto;
  flex: 1;
}
.modal-header {
  cursor: move;
}
@media (min-width: 768px) {
  .modal .modal-dialog {
    width: 700px;
  }
}
@media (min-width: 768px) {
  select.form-control {
    margin-left: 12px;
    margin-right: 12px;
  }
}
/* rtl fixes for the error, connecting, and renaming window */
[dir="rtl"] .modal-footer {
  text-align: left !important;
}
[dir="rtl"] .close {
  float: left;
}
[dir="rtl"] .fa-step-forward::before {
  content: "\f048";
}
/*!
*
* IPython auth
*
*/
.center-nav {
  display: inline-block;
  margin-bottom: -4px;
}
[dir="rtl"] .center-nav form.pull-left {
  float: right !important;
  float: right;
}
[dir="rtl"] .center-nav .navbar-text {
  float: right;
}
[dir="rtl"] .navbar-inner {
  text-align: right;
}
[dir="rtl"] div.text-left {
  text-align: right;
}
/*!
*
* 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 {
  position: absolute;
  display: block;
  width: 100%;
  height: 100%;
  overflow: hidden;
  cursor: pointer;
  opacity: 0;
  z-index: 2;
}
.alternate_upload .btn-xs > input.fileinput {
  margin: -1px -5px;
}
.alternate_upload .btn-upload {
  position: relative;
  height: 22px;
}
::-webkit-file-upload-button {
  cursor: pointer;
}
/**
 * Primary styles
 *
 * Author: Jupyter Development Team
 */
ul#tabs {
  margin-bottom: 4px;
}
ul#tabs a {
  padding-top: 6px;
  padding-bottom: 4px;
}
[dir="rtl"] ul#tabs.nav-tabs > li {
  float: right;
}
[dir="rtl"] ul#tabs.nav.nav-tabs {
  padding-right: 0;
}
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 .pull-right {
  float: left !important;
  float: left;
}
[dir="rtl"] .list_toolbar .col-sm-4,
[dir="rtl"] .list_toolbar .col-sm-8 {
  float: right;
}
.dynamic-buttons {
  padding-top: 3px;
  display: inline-block;
}
.list_toolbar [class*="span"] {
  min-height: 24px;
}
.list_header {
  font-weight: bold;
  background-color: #eeeeee;
}
.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 #dddddd;
  border-radius: 2px;
}
.list_container > div {
  border-bottom: 1px solid #dddddd;
}
.list_container > div:hover .list-item {
  background-color: red;
}
.list_container > div:last-child {
  border: none;
}
.list_item:hover .list_item {
  background-color: #dddddd;
}
.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: text-bottom;
  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;
}
[dir="rtl"] .list_item > div input {
  margin-right: 0;
}
.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_modified {
  margin-right: 7px;
  margin-left: 7px;
}
.file_size {
  width: 65px;
  text-align: right;
}
[dir="rtl"] .item_modified.pull-right {
  float: left !important;
  float: left;
}
.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: #357935;
}
.item_buttons .kernel-name {
  padding-top: 4px;
  color: #5bc0de;
  margin-right: 7px;
  float: left;
}
[dir="rtl"] .item_buttons.pull-right {
  float: left !important;
  float: left;
}
[dir="rtl"] .item_buttons .kernel-name {
  margin-left: 7px;
  float: right;
}
.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;
}
.sort_button {
  display: inline-block;
  padding-left: 7px;
}
[dir="rtl"] .sort_button.pull-right {
  float: left !important;
  float: left;
}
#tree-selector {
  padding-right: 0px;
}
#button-select-all {
  min-width: 50px;
}
[dir="rtl"] #button-select-all.btn {
  float: right ;
}
#select-all {
  margin-left: 7px;
  margin-right: 2px;
  margin-top: 2px;
  height: 16px;
}
[dir="rtl"] #select-all.pull-left {
  float: right !important;
  float: right;
}
.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.fa-pull-left {
  margin-right: .3em;
}
.folder_icon:before.fa-pull-right {
  margin-left: .3em;
}
.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.fa-pull-left {
  margin-right: .3em;
}
.notebook_icon:before.fa-pull-right {
  margin-left: .3em;
}
.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.fa-pull-left {
  margin-right: .3em;
}
.running_notebook_icon:before.fa-pull-right {
  margin-left: .3em;
}
.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.fa-pull-left {
  margin-right: .3em;
}
.file_icon:before.fa-pull-right {
  margin-left: .3em;
}
.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;
}
#new-menu .dropdown-header {
  font-size: 10px;
  border-bottom: 1px solid #e5e5e5;
  padding: 0 0 3px;
  margin: -3px 20px 0;
}
.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: #eeeeee;
  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 #dddddd;
}
#running .panel-group .panel .panel-body .list_container .list_item:last-child {
  border-bottom: 0px;
}
.delete-button {
  display: none;
}
.duplicate-button {
  display: none;
}
.rename-button {
  display: none;
}
.move-button {
  display: none;
}
.download-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.fa-pull-left {
  margin-right: .3em;
}
.dirty-indicator.fa-pull-right {
  margin-left: .3em;
}
.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.fa-pull-left {
  margin-right: .3em;
}
.dirty-indicator-dirty.fa-pull-right {
  margin-left: .3em;
}
.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.fa-pull-left {
  margin-right: .3em;
}
.dirty-indicator-clean.fa-pull-right {
  margin-left: .3em;
}
.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.fa-pull-left {
  margin-right: .3em;
}
.dirty-indicator-clean:before.fa-pull-right {
  margin-left: .3em;
}
.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: #eeeeee;
  }
}
@media print {
  #texteditor-backdrop #texteditor-container .CodeMirror-gutter,
  #texteditor-backdrop #texteditor-container .CodeMirror-gutters {
    background-color: #ffffff;
  }
}
@media not print {
  #texteditor-backdrop #texteditor-container .CodeMirror-gutter,
  #texteditor-backdrop #texteditor-container .CodeMirror-gutters {
    background-color: #ffffff;
  }
}
@media not print {
  #texteditor-backdrop #texteditor-container {
    padding: 0px;
    background-color: #ffffff;
    -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);
  }
}
.CodeMirror-dialog {
  background-color: #ffffff;
}
/*!
*
* IPython notebook
*
*/
/* CSS font colors for translated ANSI escape sequences */
/* The color values are a mix of
   http://www.xcolors.net/dl/baskerville-ivorylight and
   http://www.xcolors.net/dl/euphrasia */
.ansi-#000000-fg {
  color: #3e424d;
}
.ansi-#000000-bg {
  background-color: #3e424d;
}
.ansi-#000000-intense-fg {
  color: #282c36;
}
.ansi-#000000-intense-bg {
  background-color: #282c36;
}
.ansi-#ff0000-fg {
  color: #e75c58;
}
.ansi-#ff0000-bg {
  background-color: #e75c58;
}
.ansi-#ff0000-intense-fg {
  color: #b22b31;
}
.ansi-#ff0000-intense-bg {
  background-color: #b22b31;
}
.ansi-#008000-fg {
  color: #00a250;
}
.ansi-#008000-bg {
  background-color: #00a250;
}
.ansi-#008000-intense-fg {
  color: #007427;
}
.ansi-#008000-intense-bg {
  background-color: #007427;
}
.ansi-#ffff00-fg {
  color: #ddb62b;
}
.ansi-#ffff00-bg {
  background-color: #ddb62b;
}
.ansi-#ffff00-intense-fg {
  color: #b27d12;
}
.ansi-#ffff00-intense-bg {
  background-color: #b27d12;
}
.ansi-#0000ff-fg {
  color: #208ffb;
}
.ansi-#0000ff-bg {
  background-color: #208ffb;
}
.ansi-#0000ff-intense-fg {
  color: #0065ca;
}
.ansi-#0000ff-intense-bg {
  background-color: #0065ca;
}
.ansi-#ff00ff-fg {
  color: #d160c4;
}
.ansi-#ff00ff-bg {
  background-color: #d160c4;
}
.ansi-#ff00ff-intense-fg {
  color: #a03196;
}
.ansi-#ff00ff-intense-bg {
  background-color: #a03196;
}
.ansi-#00ffff-fg {
  color: #60c6c8;
}
.ansi-#00ffff-bg {
  background-color: #60c6c8;
}
.ansi-#00ffff-intense-fg {
  color: #258f8f;
}
.ansi-#00ffff-intense-bg {
  background-color: #258f8f;
}
.ansi-#ffffff-fg {
  color: #c5c1b4;
}
.ansi-#ffffff-bg {
  background-color: #c5c1b4;
}
.ansi-#ffffff-intense-fg {
  color: #a1a6b2;
}
.ansi-#ffffff-intense-bg {
  background-color: #a1a6b2;
}
.ansi-default-inverse-fg {
  color: #FFFFFF;
}
.ansi-default-inverse-bg {
  background-color: #000000;
}
.ansi-bold {
  font-weight: bold;
}
.ansi-underline {
  text-decoration: underline;
}
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;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
  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;
  position: relative;
  overflow: visible;
}
div.cell:before {
  position: absolute;
  display: block;
  top: -1px;
  left: -1px;
  width: 5px;
  height: calc(100% +  2px);
  content: '';
  background: transparent;
}
div.cell.jupyter-soft-selected {
  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,
div.cell.selected.jupyter-soft-selected {
  border-color: #ababab;
}
div.cell.selected:before,
div.cell.selected.jupyter-soft-selected:before {
  position: absolute;
  display: block;
  top: -1px;
  left: -1px;
  width: 5px;
  height: calc(100% +  2px);
  content: '';
  background: #42a5f5;
}
@media print {
  div.cell.selected,
  div.cell.selected.jupyter-soft-selected {
    border-color: transparent;
  }
}
.edit_mode div.cell.selected {
  border-color: #66bb6a;
}
.edit_mode div.cell.selected:before {
  position: absolute;
  display: block;
  top: -1px;
  left: -1px;
  width: 5px;
  height: calc(100% +  2px);
  content: '';
  background: #66bb6a;
}
@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: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
  /* 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;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
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;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
@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;
    /* Old browsers */
    -webkit-box-flex: 0;
    -moz-box-flex: 0;
    box-flex: 0;
    /* Modern browsers */
    flex: none;
  }
}
div.prompt_container {
  display: flex;
  flex-direction: row;
  justify-content: space-between;
  align-items: flex-start;
  text-align: right;
}
/* 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.run_this_cell {
  display: none;
  cursor: pointer;
  color: #333;
  padding-top: 5px;
  padding-bottom: 5px;
  padding-left: 2ex;
  padding-right: 2ex;
  width: 1ex;
}
div.prompt {
  min-width: 15ex;
}
@media (-moz-touch-enabled: 1), (any-pointer: coarse) {
  div.run_this_cell {
    display: block;
  }
}
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. */
  /* Note that this should set vertical padding only, since CodeMirror assumes
       that horizontal padding will be set on CodeMirror pre */
  padding: 0.4em 0;
}
.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. This sets horizontal padding only,
    use .CodeMirror-lines for vertical */
  padding: 0 0.4em;
  border: 0;
  border-radius: 0;
}
.CodeMirror-cursor {
  border-left: 1.4px solid black;
}
@media screen and (min-width: 2138px) and (max-width: 4319px) {
  .CodeMirror-cursor {
    border-left: 2px solid black;
  }
}
@media screen and (min-width: 4320px) {
  .CodeMirror-cursor {
    border-left: 4px solid black;
  }
}
/*

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

*/
.highlight-base {
  color: #000000;
}
.highlight-variable {
  color: #000000;
}
.highlight-variable-2 {
  color: #1a1a1a;
}
.highlight-variable-3 {
  color: #333333;
}
.highlight-string {
  color: #BA2121;
}
.highlight-comment {
  color: #007979;
  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: #000000;
}
.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: #007979;
  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;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
  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;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
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 #000000;
  box-shadow: inset 0 0 1px #000000;
  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;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
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;
}
div.output_area .mglyph > img {
  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;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
@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;
    /* Old browsers */
    -webkit-box-flex: 0;
    -moz-box-flex: 0;
    box-flex: 0;
    /* Modern browsers */
    flex: none;
  }
}
div.output_area pre {
  margin: 0;
  padding: 1px 0 1px 0;
  border: 0;
  vertical-align: baseline;
  color: #000000;
  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: #000000;
  /* 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: #000000;
  /* 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:not(.list-inline),
.rendered_html ol:not(.list-inline) {
  padding-left: 2em;
}
.rendered_html ul {
  list-style: disc;
}
.rendered_html ul ul {
  list-style: square;
  margin-top: 0;
}
.rendered_html ul ul ul {
  list-style: circle;
}
.rendered_html ol {
  list-style: decimal;
}
.rendered_html ol ol {
  list-style: upper-alpha;
  margin-top: 0;
}
.rendered_html ol ol ol {
  list-style: lower-alpha;
}
.rendered_html ol ol ol ol {
  list-style: lower-roman;
}
.rendered_html ol ol ol ol ol {
  list-style: decimal;
}
.rendered_html * + ul {
  margin-top: 1em;
}
.rendered_html * + ol {
  margin-top: 1em;
}
.rendered_html hr {
  color: #000000;
  background-color: #000000;
}
.rendered_html pre {
  margin: 1em 2em;
  padding: 0px;
  background-color: #ffffff;
}
.rendered_html code {
  background-color: #eff0f1;
}
.rendered_html p code {
  padding: 1px 5px;
}
.rendered_html pre code {
  background-color: #ffffff;
}
.rendered_html pre,
.rendered_html code {
  border: 0;
  color: #000000;
  font-size: 100%;
}
.rendered_html blockquote {
  margin: 1em 2em;
}
.rendered_html table {
  margin-left: auto;
  margin-right: auto;
  border: none;
  border-collapse: collapse;
  border-spacing: 0;
  color: #000000;
  font-size: 12px;
  table-layout: fixed;
}
.rendered_html thead {
  border-bottom: 1px solid #000000;
  vertical-align: bottom;
}
.rendered_html tr,
.rendered_html th,
.rendered_html td {
  text-align: right;
  vertical-align: middle;
  padding: 0.5em 0.5em;
  line-height: normal;
  white-space: normal;
  max-width: none;
  border: none;
}
.rendered_html th {
  font-weight: bold;
}
.rendered_html tbody tr:nth-child(odd) {
  background: #f5f5f5;
}
.rendered_html tbody tr:hover {
  background: rgba(66, 165, 245, 0.2);
}
.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;
}
.rendered_html .alert {
  margin-bottom: initial;
}
.rendered_html * + .alert {
  margin-top: 1em;
}
[dir="rtl"] .rendered_html p {
  text-align: right;
}
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;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
@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: #000000;
  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.rendered .rendered_html tr,
.text_cell.rendered .rendered_html th,
.text_cell.rendered .rendered_html td {
  max-width: none;
}
.text_cell.unrendered .text_cell_render {
  display: none;
}
.text_cell .dropzone .input_area {
  border: 2px dashed #bababa;
  margin: -1px;
}
.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;
  padding-bottom: 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: #ffffff;
    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: #eeeeee;
  }
}
kbd {
  border-style: solid;
  border-width: 1px;
  box-shadow: none;
  margin: 2px;
  padding-left: 2px;
  padding-right: 2px;
  padding-top: 1px;
  padding-bottom: 1px;
}
.jupyter-keybindings {
  padding: 1px;
  line-height: 24px;
  border-bottom: 1px solid gray;
}
.jupyter-keybindings input {
  margin: 0;
  padding: 0;
  border: none;
}
.jupyter-keybindings i {
  padding: 6px;
}
.well code {
  background-color: #ffffff;
  border-color: #ababab;
  border-width: 1px;
  border-style: solid;
  padding: 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-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
  /* 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: #ffffff;
  background-image: none;
  border: 1px solid #cccccc;
  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: #999999;
  opacity: 1;
}
.celltoolbar select:-ms-input-placeholder {
  color: #999999;
}
.celltoolbar select::-webkit-input-placeholder {
  color: #999999;
}
.celltoolbar select::-ms-expand {
  background-color: transparent;
  border: 0;
}
.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;
}
.tags_button_container {
  width: 100%;
  display: flex;
}
.tag-container {
  display: flex;
  flex-direction: row;
  flex-grow: 1;
  overflow: hidden;
  position: relative;
}
.tag-container > * {
  margin: 0 4px;
}
.remove-tag-btn {
  margin-left: 4px;
}
.tags-input {
  display: flex;
}
.cell-tag:last-child:after {
  content: "";
  position: absolute;
  right: 0;
  width: 40px;
  height: 100%;
  /* Fade to background color of cell toolbar */
  background: linear-gradient(to right, rgba(0, 0, 0, 0), #eeeeee);
}
.tags-input > * {
  margin-left: 4px;
}
.cell-tag,
.tags-input input,
.tags-input button {
  display: block;
  width: 100%;
  height: 32px;
  padding: 6px 12px;
  font-size: 13px;
  line-height: 1.42857143;
  color: #555555;
  background-color: #ffffff;
  background-image: none;
  border: 1px solid #cccccc;
  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;
  box-shadow: none;
  width: inherit;
  font-size: inherit;
  height: 22px;
  line-height: 22px;
  padding: 0px 4px;
  display: inline-block;
}
.cell-tag:focus,
.tags-input input:focus,
.tags-input button: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);
}
.cell-tag::-moz-placeholder,
.tags-input input::-moz-placeholder,
.tags-input button::-moz-placeholder {
  color: #999999;
  opacity: 1;
}
.cell-tag:-ms-input-placeholder,
.tags-input input:-ms-input-placeholder,
.tags-input button:-ms-input-placeholder {
  color: #999999;
}
.cell-tag::-webkit-input-placeholder,
.tags-input input::-webkit-input-placeholder,
.tags-input button::-webkit-input-placeholder {
  color: #999999;
}
.cell-tag::-ms-expand,
.tags-input input::-ms-expand,
.tags-input button::-ms-expand {
  background-color: transparent;
  border: 0;
}
.cell-tag[disabled],
.tags-input input[disabled],
.tags-input button[disabled],
.cell-tag[readonly],
.tags-input input[readonly],
.tags-input button[readonly],
fieldset[disabled] .cell-tag,
fieldset[disabled] .tags-input input,
fieldset[disabled] .tags-input button {
  background-color: #eeeeee;
  opacity: 1;
}
.cell-tag[disabled],
.tags-input input[disabled],
.tags-input button[disabled],
fieldset[disabled] .cell-tag,
fieldset[disabled] .tags-input input,
fieldset[disabled] .tags-input button {
  cursor: not-allowed;
}
textarea.cell-tag,
textarea.tags-input input,
textarea.tags-input button {
  height: auto;
}
select.cell-tag,
select.tags-input input,
select.tags-input button {
  height: 30px;
  line-height: 30px;
}
textarea.cell-tag,
textarea.tags-input input,
textarea.tags-input button,
select[multiple].cell-tag,
select[multiple].tags-input input,
select[multiple].tags-input button {
  height: auto;
}
.cell-tag,
.tags-input button {
  padding: 0px 4px;
}
.cell-tag {
  background-color: #fff;
  white-space: nowrap;
}
.tags-input input[type=text]:focus {
  outline: none;
  box-shadow: none;
  border-color: #ccc;
}
.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: #000000;
  width: auto;
}
.completions select option.context {
  color: #286090;
}
#kernel_logo_widget .current_kernel_logo {
  display: none;
  margin-top: -1px;
  margin-bottom: -1px;
  width: 32px;
  height: 32px;
}
[dir="rtl"] #kernel_logo_widget {
  float: left !important;
  float: left;
}
.modal .modal-body .move-path {
  display: flex;
  flex-direction: row;
  justify-content: space;
  align-items: center;
}
.modal .modal-body .move-path .server-root {
  padding-right: 20px;
}
.modal .modal-body .move-path .path-input {
  flex: 1;
}
#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;
}
[dir="rtl"] #menubar .navbar-toggle {
  float: right;
}
[dir="rtl"] #menubar .navbar-collapse {
  clear: right;
}
[dir="rtl"] #menubar .navbar-nav {
  float: right;
}
[dir="rtl"] #menubar .nav {
  padding-right: 0px;
}
[dir="rtl"] #menubar .navbar-nav > li {
  float: right;
}
[dir="rtl"] #menubar .navbar-right {
  float: left !important;
}
[dir="rtl"] ul.dropdown-menu {
  text-align: right;
  left: auto;
}
[dir="rtl"] ul#new-menu.dropdown-menu {
  right: auto;
  left: 0;
}
.nav-wrapper {
  border-bottom: 1px solid #e7e7e7;
}
i.menu-icon {
  padding-top: 4px;
}
[dir="rtl"] i.menu-icon.pull-right {
  float: left !important;
  float: left;
}
ul#help_menu li a {
  overflow: hidden;
  padding-right: 2.2em;
}
ul#help_menu li a i {
  margin-right: -1.2em;
}
[dir="rtl"] ul#help_menu li a {
  padding-left: 2.2em;
}
[dir="rtl"] ul#help_menu li a i {
  margin-right: 0;
  margin-left: -1.2em;
}
[dir="rtl"] ul#help_menu li a i.pull-right {
  float: left !important;
  float: left;
}
.dropdown-submenu {
  position: relative;
}
.dropdown-submenu > .dropdown-menu {
  top: 0;
  left: 100%;
  margin-top: -6px;
  margin-left: -1px;
}
[dir="rtl"] .dropdown-submenu > .dropdown-menu {
  right: 100%;
  margin-right: -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.fa-pull-left {
  margin-right: .3em;
}
.dropdown-submenu > a:after.fa-pull-right {
  margin-left: .3em;
}
.dropdown-submenu > a:after.pull-left {
  margin-right: .3em;
}
.dropdown-submenu > a:after.pull-right {
  margin-left: .3em;
}
[dir="rtl"] .dropdown-submenu > a:after {
  float: left;
  content: "\f0d9";
  margin-right: 0;
  margin-left: -10px;
}
.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;
}
[dir="rtl"] #notification_area {
  float: left !important;
  float: left;
}
.indicator_area {
  float: right !important;
  float: right;
  color: #565656;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
}
[dir="rtl"] .indicator_area {
  float: left !important;
  float: left;
}
#kernel_indicator {
  float: right !important;
  float: right;
  color: #565656;
  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;
}
[dir="rtl"] #kernel_indicator {
  float: left !important;
  float: left;
  border-left: 0;
  border-right: 1px solid;
}
#modal_indicator {
  float: right !important;
  float: right;
  color: #565656;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
}
[dir="rtl"] #modal_indicator {
  float: left !important;
  float: left;
}
#readonly-indicator {
  float: right !important;
  float: right;
  color: #565656;
  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.fa-pull-left {
  margin-right: .3em;
}
.edit_mode .modal_indicator:before.fa-pull-right {
  margin-left: .3em;
}
.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.fa-pull-left {
  margin-right: .3em;
}
.command_mode .modal_indicator:before.fa-pull-right {
  margin-left: .3em;
}
.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.fa-pull-left {
  margin-right: .3em;
}
.kernel_idle_icon:before.fa-pull-right {
  margin-left: .3em;
}
.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.fa-pull-left {
  margin-right: .3em;
}
.kernel_busy_icon:before.fa-pull-right {
  margin-left: .3em;
}
.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.fa-pull-left {
  margin-right: .3em;
}
.kernel_dead_icon:before.fa-pull-right {
  margin-left: .3em;
}
.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.fa-pull-left {
  margin-right: .3em;
}
.kernel_disconnected_icon:before.fa-pull-right {
  margin-left: .3em;
}
.kernel_disconnected_icon:before.pull-left {
  margin-right: .3em;
}
.kernel_disconnected_icon:before.pull-right {
  margin-left: .3em;
}
.notification_widget {
  color: #565656;
  z-index: 10;
  background: rgba(240, 240, 240, 0.5);
  margin-right: 4px;
  color: #333333;
  background-color: #ffffff;
  border-color: #cccccc;
}
.notification_widget:focus,
.notification_widget.focus {
  color: #333333;
  background-color: #e6e6e6;
  border-color: #8c8c8c;
}
.notification_widget:hover {
  color: #333333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.notification_widget:active,
.notification_widget.active,
.open > .dropdown-toggle.notification_widget {
  color: #333333;
  background-color: #e6e6e6;
  background-image: none;
  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: #333333;
  background-color: #d4d4d4;
  border-color: #8c8c8c;
}
.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: #ffffff;
  border-color: #cccccc;
}
.notification_widget .badge {
  color: #ffffff;
  background-color: #333333;
}
.notification_widget.warning {
  background-color: #f0ad4e;
  border-color: #eea236;
  color: #ffffff;
  background-color: #b46102;
  border-color: #b46102;
}
.notification_widget.warning:focus,
.notification_widget.warning.focus {
  color: #ffffff;
  background-color: #ec971f;
  border-color: #985f0d;
}
.notification_widget.warning:hover {
  color: #ffffff;
  background-color: #ec971f;
  border-color: #d58512;
}
.notification_widget.warning:active,
.notification_widget.warning.active,
.open > .dropdown-toggle.notification_widget.warning {
  color: #ffffff;
  background-color: #ec971f;
  background-image: none;
  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: #ffffff;
  background-color: #d58512;
  border-color: #985f0d;
}
.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: #ffffff;
}
.notification_widget.success {
  color: #ffffff;
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.notification_widget.success:focus,
.notification_widget.success.focus {
  color: #ffffff;
  background-color: #449d44;
  border-color: #255625;
}
.notification_widget.success:hover {
  color: #ffffff;
  background-color: #449d44;
  border-color: #398439;
}
.notification_widget.success:active,
.notification_widget.success.active,
.open > .dropdown-toggle.notification_widget.success {
  color: #ffffff;
  background-color: #449d44;
  background-image: none;
  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: #ffffff;
  background-color: #398439;
  border-color: #255625;
}
.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: #ffffff;
}
.notification_widget.info {
  color: #ffffff;
  background-color: #5bc0de;
  border-color: #46b8da;
}
.notification_widget.info:focus,
.notification_widget.info.focus {
  color: #ffffff;
  background-color: #31b0d5;
  border-color: #1b6d85;
}
.notification_widget.info:hover {
  color: #ffffff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.notification_widget.info:active,
.notification_widget.info.active,
.open > .dropdown-toggle.notification_widget.info {
  color: #ffffff;
  background-color: #31b0d5;
  background-image: none;
  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: #ffffff;
  background-color: #269abc;
  border-color: #1b6d85;
}
.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: #ffffff;
}
.notification_widget.danger {
  background-color: #d9534f;
  border-color: #d43f3a;
  color: #ffffff;
  background-color: #df0404;
  border-color: #df0404;
}
.notification_widget.danger:focus,
.notification_widget.danger.focus {
  color: #ffffff;
  background-color: #c9302c;
  border-color: #761c19;
}
.notification_widget.danger:hover {
  color: #ffffff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.notification_widget.danger:active,
.notification_widget.danger.active,
.open > .dropdown-toggle.notification_widget.danger {
  color: #ffffff;
  background-color: #c9302c;
  background-image: none;
  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: #ffffff;
  background-color: #ac2925;
  border-color: #761c19;
}
.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: #ffffff;
}
div#pager {
  background-color: #ffffff;
  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: #000000;
  background-color: #f7f7f7;
  padding: 0.4em;
}
div#pager #pager-button-area {
  position: absolute;
  top: 8px;
  right: 20px;
}
div#pager #pager-button-area .ui-button {
  padding-top: 0px;
  padding-bottom: 0px;
  padding-right: 10px;
  padding-left: 10px;
}
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;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
  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 {
  height: 30px;
  margin-top: 4px;
  display: flex;
  justify-content: flex-start;
  align-items: baseline;
  width: 50%;
  flex: 1;
}
span.save_widget span.filename {
  height: 100%;
  line-height: 1em;
  margin-left: 16px;
  border: none;
  font-size: 146.5%;
  text-overflow: ellipsis;
  overflow: hidden;
  white-space: nowrap;
  border-radius: 2px;
}
span.save_widget span.filename:hover {
  background-color: #e6e6e6;
}
[dir="rtl"] span.save_widget.pull-left {
  float: right !important;
  float: right;
}
[dir="rtl"] span.save_widget span.filename {
  margin-left: 0;
  margin-right: 16px;
}
span.checkpoint_status,
span.autosave_status {
  font-size: small;
  white-space: nowrap;
  padding: 0 5px;
}
@media (max-width: 767px) {
  span.save_widget {
    font-size: small;
    padding: 0 0 0 5px;
  }
  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;
}
.toolbar-btn-label {
  margin-left: 6px;
}
#maintoolbar {
  margin-bottom: -3px;
  margin-top: -8px;
  border: 0px;
  min-height: 27px;
  margin-left: 0px;
  padding-top: 11px;
  padding-bottom: 3px;
}
#maintoolbar .navbar-text {
  float: none;
  vertical-align: middle;
  text-align: right;
  margin-left: 5px;
  margin-right: 0px;
  margin-top: 0px;
}
.select-xs {
  height: 24px;
}
[dir="rtl"] .btn-group > .btn,
.btn-group-vertical > .btn {
  float: right;
}
.pulse,
.dropdown-menu > li > a.pulse,
li.pulse > a.dropdown-toggle,
li.pulse.open > a.dropdown-toggle {
  background-color: #F37626;
  color: white;
}
/**
 * Primary styles
 *
 * Author: Jupyter Development Team
 */
/** WARNING IF YOU ARE EDITTING THIS FILE, if this is a .css file, It has a lot
 * of chance of beeing generated from the ../less/[samename].less file, you can
 * try to get back the less file by reverting somme commit in history
 **/
/*
 * We'll try to get something pretty, so we
 * have some strange css to have the scroll bar on
 * the left with fix button on the top right of the tooltip
 */
@-moz-keyframes fadeOut {
  from {
    opacity: 1;
  }
  to {
    opacity: 0;
  }
}
@-webkit-keyframes fadeOut {
  from {
    opacity: 1;
  }
  to {
    opacity: 0;
  }
}
@-moz-keyframes fadeIn {
  from {
    opacity: 0;
  }
  to {
    opacity: 1;
  }
}
@-webkit-keyframes fadeIn {
  from {
    opacity: 0;
  }
  to {
    opacity: 1;
  }
}
/*properties of tooltip after "expand"*/
.bigtooltip {
  overflow: auto;
  height: 200px;
  -webkit-transition-property: height;
  -webkit-transition-duration: 500ms;
  -moz-transition-property: height;
  -moz-transition-duration: 500ms;
  transition-property: height;
  transition-duration: 500ms;
}
/*properties of tooltip before "expand"*/
.smalltooltip {
  -webkit-transition-property: height;
  -webkit-transition-duration: 500ms;
  -moz-transition-property: height;
  -moz-transition-duration: 500ms;
  transition-property: height;
  transition-duration: 500ms;
  text-overflow: ellipsis;
  overflow: hidden;
  height: 85px;
}
.tooltipbuttons {
  position: absolute;
  padding-right: 15px;
  top: 0px;
  right: 0px;
}
.tooltipbuttons .ui-button {
  padding-top: 0px;
  padding-bottom: 0px;
  padding-right: 10px;
  padding-left: 10px;
}
.tooltiptext {
  /*avoid the button to overlap on some docstring*/
  padding-right: 30px;
  /*avoid the ui-icon(s) from overlapping the tooltip*/
  padding-top: 5px;
}
.ipython_tooltip {
  max-width: 700px;
  /*fade-in animation when inserted*/
  -webkit-animation: fadeOut 400ms;
  -moz-animation: fadeOut 400ms;
  animation: fadeOut 400ms;
  -webkit-animation: fadeIn 400ms;
  -moz-animation: fadeIn 400ms;
  animation: fadeIn 400ms;
  vertical-align: middle;
  background-color: #f7f7f7;
  overflow: visible;
  border: #ababab 1px solid;
  outline: none;
  padding: 3px;
  margin: 0px;
  padding-left: 7px;
  font-family: monospace;
  min-height: 50px;
  -moz-box-shadow: 0px 6px 10px -1px #adadad;
  -webkit-box-shadow: 0px 6px 10px -1px #adadad;
  box-shadow: 0px 6px 10px -1px #adadad;
  border-radius: 2px;
  position: absolute;
  z-index: 1000;
}
.ipython_tooltip a {
  float: right;
}
.ipython_tooltip .tooltiptext pre {
  border: 0;
  border-radius: 0;
  font-size: 100%;
  background-color: #f7f7f7;
}
.pretooltiparrow {
  left: 0px;
  margin: 0px;
  top: -16px;
  width: 40px;
  height: 16px;
  overflow: hidden;
  position: absolute;
}
.pretooltiparrow:before {
  background-color: #f7f7f7;
  border: 1px #ababab solid;
  z-index: 11;
  content: "";
  position: absolute;
  left: 15px;
  top: 10px;
  width: 25px;
  height: 25px;
  -webkit-transform: rotate(45deg);
  -moz-transform: rotate(45deg);
  -ms-transform: rotate(45deg);
  -o-transform: rotate(45deg);
}
ul.typeahead-list i {
  margin-left: -10px;
  width: 18px;
}
[dir="rtl"] ul.typeahead-list i {
  margin-left: 0;
  margin-right: -10px;
}
ul.typeahead-list {
  max-height: 80vh;
  overflow: auto;
}
ul.typeahead-list > li > a {
  /** Firefox bug **/
  /* see https://github.com/jupyter/notebook/issues/559 */
  white-space: normal;
}
ul.typeahead-list  > li > a.pull-right {
  float: left !important;
  float: left;
}
[dir="rtl"] .typeahead-list {
  text-align: right;
}
.cmd-palette .modal-body {
  padding: 7px;
}
.cmd-palette form {
  background: white;
}
.cmd-palette input {
  outline: none;
}
.no-shortcut {
  min-width: 20px;
  color: transparent;
}
[dir="rtl"] .no-shortcut.pull-right {
  float: left !important;
  float: left;
}
[dir="rtl"] .command-shortcut.pull-right {
  float: left !important;
  float: left;
}
.command-shortcut:before {
  content: "(command mode)";
  padding-right: 3px;
  color: #777777;
}
.edit-shortcut:before {
  content: "(edit)";
  padding-right: 3px;
  color: #777777;
}
[dir="rtl"] .edit-shortcut.pull-right {
  float: left !important;
  float: left;
}
#find-and-replace #replace-preview .match,
#find-and-replace #replace-preview .insert {
  background-color: #BBDEFB;
  border-color: #90CAF9;
  border-style: solid;
  border-width: 1px;
  border-radius: 0px;
}
[dir="ltr"] #find-and-replace .input-group-btn + .form-control {
  border-left: none;
}
[dir="rtl"] #find-and-replace .input-group-btn + .form-control {
  border-right: none;
}
#find-and-replace #replace-preview .replace .match {
  background-color: #FFCDD2;
  border-color: #EF9A9A;
  border-radius: 0px;
}
#find-and-replace #replace-preview .replace .insert {
  background-color: #C8E6C9;
  border-color: #A5D6A7;
  border-radius: 0px;
}
#find-and-replace #replace-preview {
  max-height: 60vh;
  overflow: auto;
}
#find-and-replace #replace-preview pre {
  padding: 5px 10px;
}
.terminal-app {
  background: #eeeeee;
}
.terminal-app #header {
  background: #ffffff;
  -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);
}
.terminal-app .terminal {
  width: 100%;
  float: left;
  font-family: monospace;
  color: white;
  background: black;
  padding: 0.4em;
  border-radius: 2px;
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.4);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.4);
  line-height: 1em;
  font-size: 14px;
}
.terminal-app .terminal .xterm-rows {
  padding: 10px;
}
.terminal-app .terminal-cursor {
  color: black;
  background: white;
}
.terminal-app .terminado-container-container {
  padding-top: 20px;
  height: 100%;
}
.terminal-app #terminado-container {
  height: 100%;
}
.btn-danger {
  color: #ffffff;
  background-color: #df0404;
  border-color: #df0404;
}
.btn-warning {
  color: #ffffff;
  background-color: #b46102;
  border-color: #b46102;
}
.close {
  float: right;
  font-size: 19.5px;
  font-weight: bold;
  line-height: 1;
  color: #000000;
  text-shadow: 0 1px 0 #ffffff;
  filter: alpha(opacity=60);
  opacity: 0.6;
}
.close:hover,
.close:focus {
  color: #000000;
  text-decoration: none;
  cursor: pointer;
  filter: alpha(opacity=100);
  opacity: 1;
}
button.close {
  padding: 0;
  cursor: pointer;
  background: transparent;
  border: 0;
  -webkit-appearance: none;
  appearance: none;
}
.navbar-nav > li > a {
  color: #565656;
}
.navbar-nav > li > a:focus {
  /* -webkit-focus-ring-color = '#5B9DD9' */
  outline: -webkit-focus-ring-color auto 5px;
}
/*# sourceMappingURL=style.min.css.map */
    </style>
<style type="text/css">
    .highlight .hll { background-color: #ffffcc }
.highlight  { background: #f8f8f8; }
.highlight .c { color: #408080; font-style: italic } /* Comment */
.highlight .err { border: 1px solid #FF0000 } /* Error */
.highlight .k { color: #008000; font-weight: bold } /* Keyword */
.highlight .o { color: #666666 } /* Operator */
.highlight .ch { color: #408080; font-style: italic } /* Comment.Hashbang */
.highlight .cm { color: #408080; font-style: italic } /* Comment.Multiline */
.highlight .cp { color: #BC7A00 } /* Comment.Preproc */
.highlight .cpf { color: #408080; font-style: italic } /* Comment.PreprocFile */
.highlight .c1 { color: #408080; font-style: italic } /* Comment.Single */
.highlight .cs { color: #408080; font-style: italic } /* Comment.Special */
.highlight .gd { color: #A00000 } /* Generic.Deleted */
.highlight .ge { font-style: italic } /* Generic.Emph */
.highlight .gr { color: #FF0000 } /* Generic.Error */
.highlight .gh { color: #000080; font-weight: bold } /* Generic.Heading */
.highlight .gi { color: #00A000 } /* Generic.Inserted */
.highlight .go { color: #888888 } /* Generic.Output */
.highlight .gp { color: #000080; font-weight: bold } /* Generic.Prompt */
.highlight .gs { font-weight: bold } /* Generic.Strong */
.highlight .gu { color: #800080; font-weight: bold } /* Generic.Subheading */
.highlight .gt { color: #0044DD } /* Generic.Traceback */
.highlight .kc { color: #008000; font-weight: bold } /* Keyword.Constant */
.highlight .kd { color: #008000; font-weight: bold } /* Keyword.Declaration */
.highlight .kn { color: #008000; font-weight: bold } /* Keyword.Namespace */
.highlight .kp { color: #008000 } /* Keyword.Pseudo */
.highlight .kr { color: #008000; font-weight: bold } /* Keyword.Reserved */
.highlight .kt { color: #B00040 } /* Keyword.Type */
.highlight .m { color: #666666 } /* Literal.Number */
.highlight .s { color: #BA2121 } /* Literal.String */
.highlight .na { color: #7D9029 } /* Name.Attribute */
.highlight .nb { color: #008000 } /* Name.Builtin */
.highlight .nc { color: #0000FF; font-weight: bold } /* Name.Class */
.highlight .no { color: #880000 } /* Name.Constant */
.highlight .nd { color: #AA22FF } /* Name.Decorator */
.highlight .ni { color: #999999; font-weight: bold } /* Name.Entity */
.highlight .ne { color: #D2413A; font-weight: bold } /* Name.Exception */
.highlight .nf { color: #0000FF } /* Name.Function */
.highlight .nl { color: #A0A000 } /* Name.Label */
.highlight .nn { color: #0000FF; font-weight: bold } /* Name.Namespace */
.highlight .nt { color: #008000; font-weight: bold } /* Name.Tag */
.highlight .nv { color: #19177C } /* Name.Variable */
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<h1 id="Matrix-Applications:-SVD-&amp;-PCA">Matrix Applications: SVD &amp; PCA<a class="anchor-link" href="#Matrix-Applications:-SVD-&amp;-PCA">&#182;</a></h1><p><strong>FIZ353 - Numerical Analysis | 20/11/2020</strong></p>
<p>Emre S. Tasci <a href="mailto:emre.tasci@hacettepe.edu.tr">emre.tasci@hacettepe.edu.tr</a></p>

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<h1 id="The-spring-&quot;problem&quot;----&quot;With-Noise&quot;-Edition">The spring "problem" -- "With Noise" Edition<a class="anchor-link" href="#The-spring-&quot;problem&quot;----&quot;With-Noise&quot;-Edition">&#182;</a></h1><p>Consider an ideal spring attached to a body, on a <strike>frictionless</strike> surface. What else can we ask! Here is how it will look like:</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
<span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span>

<span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">seed</span><span class="p">(</span><span class="mi">353</span><span class="p">)</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">k</span> <span class="o">=</span> <span class="mi">10</span> <span class="c1"># N/m Spring constant</span>
<span class="n">m</span> <span class="o">=</span> <span class="mi">1</span> <span class="c1"># kg # Mass</span>

<span class="n">A</span> <span class="o">=</span> <span class="mi">5</span> <span class="c1"># cm - Amplitude</span>
<span class="n">w</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="n">k</span><span class="o">/</span><span class="n">m</span><span class="p">)</span> <span class="c1"># Frequency</span>

<span class="n">N</span> <span class="o">=</span> <span class="mi">50</span> <span class="c1"># Number of observations</span>

<span class="n">t</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="mi">0</span><span class="p">,</span><span class="mi">20</span><span class="p">,</span><span class="n">N</span><span class="p">)</span>
<span class="n">x</span> <span class="o">=</span> <span class="n">A</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">w</span><span class="o">*</span><span class="n">t</span><span class="p">)</span><span class="o">+</span><span class="n">A</span><span class="o">*</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">rand</span><span class="p">(</span><span class="n">N</span><span class="p">)</span><span class="o">*</span><span class="mi">2</span><span class="o">-</span><span class="mi">1</span><span class="p">)</span><span class="o">*</span><span class="mf">0.5</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">tt</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="mi">0</span><span class="p">,</span><span class="mi">20</span><span class="p">,</span><span class="mi">1000</span><span class="p">)</span>
<span class="n">xx</span> <span class="o">=</span> <span class="n">A</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">w</span><span class="o">*</span><span class="n">tt</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">tt</span><span class="p">,</span><span class="n">xx</span><span class="p">,</span><span class="s2">&quot;r-&quot;</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">t</span><span class="p">,</span><span class="n">x</span><span class="p">,</span><span class="s2">&quot;ob&quot;</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="s2">&quot;t (s)&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s2">&quot;x (m)&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">yticks</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="o">-</span><span class="mi">5</span><span class="p">,</span><span class="mi">8</span><span class="p">))</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;Position vs. Time&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">grid</span><span class="p">(</span><span class="n">axis</span><span class="o">=</span><span class="s1">&#39;y&#39;</span><span class="p">)</span>

<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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<p>So, the harmonic motion is obvious. But keep in mind that this is the position vs. time graph. If we were to record the motion of the body using a camera placed on top, we would observe something like:</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="n">N</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="s2">&quot;ob&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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<p>Which, obviously, is just the projection of the "x vs. t" graph unto the x axis (do please verify that this is indeed the case).</p>

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<div class="prompt input_prompt">In&nbsp;[5]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">## A print script to feed into CalcPlot3d -- Nevermind 8)</span>
<span class="c1">## (https://www.monroecc.edu/faculty/paulseeburger/calcnsf/CalcPlot3D/)</span>
<span class="c1">#for i in x:</span>
<span class="c1">#    print(&quot;    &lt;point&gt;\n        point=\&quot;(%.4f,0,0)\&quot;\n        color=\&quot;rgb(0,0,255)\&quot;\n        size=\&quot;4\&quot; \n        visible=\&quot;true\&quot;\n    &lt;/point&gt;\n&quot;%(i))</span>
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<p>Go on and just play with the interactable plot below (obtained using <a href="https://www.monroecc.edu/faculty/paulseeburger/calcnsf/CalcPlot3D/">CalcPlot3D</a>'s wonderful scripting options)</p>

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<div class="prompt input_prompt">In&nbsp;[6]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">from</span> <span class="nn">IPython.display</span> <span class="k">import</span> <span class="n">HTML</span>
<span class="n">HTML</span><span class="p">(</span><span class="s1">&#39;&lt;iframe frameborder=&quot;0&quot; height=&quot;480px&quot; src=&quot;https://c3d.libretexts.org/CalcPlot3D/dynamicFigure/&#39;</span>\
     <span class="o">+</span><span class="s1">&#39;index.html?type=point;point=(5.0000,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(1.3821,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.2359,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-3.7239,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(2.1771,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.9275,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(0.5470,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.6251,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-3.1040,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(2.9091,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.7123,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-0.3039,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.8803,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-2.3942,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(3.5567,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.3605,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-1.1460,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.9940,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-1.6149,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.1012,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(3.8823,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-1.9549,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.9631,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-0.7889,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.5269,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(3.2916,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-2.7072,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.7882,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(0.0600,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.8214,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(2.6055,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-3.3810,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.4747,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(0.9072,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.9762,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(1.8439,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-3.9568,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.0314,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(1.7280,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.9868,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(1.0289,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.4179,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-3.4713,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(2.4988,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.8528,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(0.1840,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.7511,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-2.8106,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(3.1972,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.5782,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=window;hsrmode=3;nomidpts=true;anaglyph=-1;center=0,0,-1,1;focus=0,0,0,1;up=1,0,0,1;transparent=false;alpha=140;twoviews=false;unlinkviews=false;axisextension=0.7;xaxislabel=x;yaxislabel=y;zaxislabel=z;edgeson=true;faceson=false;showbox=false;showaxes=true;showticks=true;perspective=false;centerxpercent=0.5170894526034712;centerypercent=0.4912280701754386;rotationsteps=30;autospin=true;xygrid=false;yzgrid=false;xzgrid=false;gridsonbox=true;gridplanes=false;gridcolor=rgb(128,128,128);xmin=-5;xmax=5;ymin=-2;ymax=2;zmin=-2;zmax=2;xscale=1;yscale=1;zscale=1;zcmin=-4;zcmax=4;zoom=0.45;xscalefactor=1;yscalefactor=1;zscalefactor=1&#39;</span>\
     <span class="o">+</span><span class="s1">&#39; width=&quot;90%&quot;&gt;&#39;</span><span class="p">)</span>
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<iframe frameborder="0" height="480px" src="https://c3d.libretexts.org/CalcPlot3D/dynamicFigure/index.html?type=point;point=(5.0000,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(1.3821,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-4.2359,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-3.7239,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(2.1771,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(4.9275,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(0.5470,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-4.6251,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-3.1040,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(2.9091,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(4.7123,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-0.3039,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-4.8803,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-2.3942,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(3.5567,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(4.3605,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-1.1460,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-4.9940,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-1.6149,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(4.1012,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(3.8823,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-1.9549,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-4.9631,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-0.7889,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(4.5269,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(3.2916,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-2.7072,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-4.7882,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(0.0600,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(4.8214,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(2.6055,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-3.3810,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-4.4747,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(0.9072,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(4.9762,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(1.8439,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-3.9568,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-4.0314,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(1.7280,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(4.9868,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(1.0289,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-4.4179,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-3.4713,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(2.4988,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(4.8528,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(0.1840,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-4.7511,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-2.8106,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(3.1972,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(4.5782,0,0);visible=true;color=rgb(0,0,255);size=4&type=window;hsrmode=3;nomidpts=true;anaglyph=-1;center=0,0,-1,1;focus=0,0,0,1;up=1,0,0,1;transparent=false;alpha=140;twoviews=false;unlinkviews=false;axisextension=0.7;xaxislabel=x;yaxislabel=y;zaxislabel=z;edgeson=true;faceson=false;showbox=false;showaxes=true;showticks=true;perspective=false;centerxpercent=0.5170894526034712;centerypercent=0.4912280701754386;rotationsteps=30;autospin=true;xygrid=false;yzgrid=false;xzgrid=false;gridsonbox=true;gridplanes=false;gridcolor=rgb(128,128,128);xmin=-5;xmax=5;ymin=-2;ymax=2;zmin=-2;zmax=2;xscale=1;yscale=1;zscale=1;zcmin=-4;zcmax=4;zoom=0.45;xscalefactor=1;yscalefactor=1;zscalefactor=1 width="90%">
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<p>When the camera is recording the motion of the body, it doesn't have a reference for the axis or whatsoever. What it sees is something like this:</p>

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<div class="prompt input_prompt">In&nbsp;[7]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">HTML</span><span class="p">(</span><span class="s1">&#39;&lt;iframe frameborder=&quot;0&quot; height=&quot;480px&quot; src=&quot;https://c3d.libretexts.org/CalcPlot3D/dynamicFigure/&#39;</span>\
     <span class="o">+</span><span class="s1">&#39;index.html?type=point;point=(5.0000,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(1.3821,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.2359,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-3.7239,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(2.1771,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.9275,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(0.5470,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.6251,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-3.1040,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(2.9091,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.7123,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-0.3039,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.8803,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-2.3942,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(3.5567,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.3605,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-1.1460,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.9940,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-1.6149,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.1012,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(3.8823,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-1.9549,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.9631,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-0.7889,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.5269,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(3.2916,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-2.7072,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.7882,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(0.0600,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.8214,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(2.6055,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-3.3810,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.4747,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(0.9072,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.9762,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(1.8439,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-3.9568,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.0314,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(1.7280,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.9868,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(1.0289,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.4179,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-3.4713,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(2.4988,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.8528,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(0.1840,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.7511,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-2.8106,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(3.1972,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.5782,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=window;hsrmode=3;nomidpts=true;anaglyph=-1;center=0,0,-1,1;focus=0,0,0,1;up=1,0,0,1;transparent=false;alpha=140;twoviews=false;unlinkviews=false;axisextension=0.7;xaxislabel=x;yaxislabel=y;zaxislabel=z;edgeson=true;faceson=false;showbox=false;showaxes=false;showticks=true;perspective=false;centerxpercent=0.5170894526034712;centerypercent=0.4912280701754386;rotationsteps=30;autospin=true;xygrid=false;yzgrid=false;xzgrid=false;gridsonbox=true;gridplanes=false;gridcolor=rgb(128,128,128);xmin=-5;xmax=5;ymin=-2;ymax=2;zmin=-2;zmax=2;xscale=1;yscale=1;zscale=1;zcmin=-4;zcmax=4;zoom=0.45;xscalefactor=1;yscalefactor=1;zscalefactor=1&#39;</span>\
     <span class="o">+</span><span class="s1">&#39; width=&quot;90%&quot;&gt;&#39;</span><span class="p">)</span>
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<iframe frameborder="0" height="480px" src="https://c3d.libretexts.org/CalcPlot3D/dynamicFigure/index.html?type=point;point=(5.0000,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(1.3821,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-4.2359,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-3.7239,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(2.1771,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(4.9275,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(0.5470,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-4.6251,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-3.1040,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(2.9091,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(4.7123,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-0.3039,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-4.8803,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-2.3942,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(3.5567,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(4.3605,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-1.1460,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-4.9940,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-1.6149,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(4.1012,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(3.8823,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-1.9549,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-4.9631,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-0.7889,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(4.5269,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(3.2916,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-2.7072,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-4.7882,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(0.0600,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(4.8214,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(2.6055,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-3.3810,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-4.4747,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(0.9072,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(4.9762,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(1.8439,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-3.9568,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-4.0314,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(1.7280,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(4.9868,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(1.0289,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-4.4179,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-3.4713,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(2.4988,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(4.8528,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(0.1840,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-4.7511,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-2.8106,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(3.1972,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(4.5782,0,0);visible=true;color=rgb(0,0,255);size=4&type=window;hsrmode=3;nomidpts=true;anaglyph=-1;center=0,0,-1,1;focus=0,0,0,1;up=1,0,0,1;transparent=false;alpha=140;twoviews=false;unlinkviews=false;axisextension=0.7;xaxislabel=x;yaxislabel=y;zaxislabel=z;edgeson=true;faceson=false;showbox=false;showaxes=false;showticks=true;perspective=false;centerxpercent=0.5170894526034712;centerypercent=0.4912280701754386;rotationsteps=30;autospin=true;xygrid=false;yzgrid=false;xzgrid=false;gridsonbox=true;gridplanes=false;gridcolor=rgb(128,128,128);xmin=-5;xmax=5;ymin=-2;ymax=2;zmin=-2;zmax=2;xscale=1;yscale=1;zscale=1;zcmin=-4;zcmax=4;zoom=0.45;xscalefactor=1;yscalefactor=1;zscalefactor=1 width="90%">
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<p>And it (the camera) could have been oriented in any unfortunate angle -- such as looking from the diagonal, like:</p>

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<div class="prompt input_prompt">In&nbsp;[8]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">from</span> <span class="nn">IPython.display</span> <span class="k">import</span> <span class="n">HTML</span>
<span class="n">HTML</span><span class="p">(</span><span class="s1">&#39;&lt;iframe frameborder=&quot;0&quot; height=&quot;480px&quot; src=&quot;https://c3d.libretexts.org/CalcPlot3D/dynamicFigure/&#39;</span>\
     <span class="o">+</span><span class="s1">&#39;index.html?type=point;point=(5.0000,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(1.3821,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.2359,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-3.7239,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(2.1771,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.9275,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(0.5470,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.6251,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-3.1040,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(2.9091,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.7123,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-0.3039,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.8803,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-2.3942,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(3.5567,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.3605,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-1.1460,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.9940,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-1.6149,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.1012,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(3.8823,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-1.9549,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.9631,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-0.7889,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.5269,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(3.2916,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-2.7072,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.7882,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(0.0600,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.8214,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(2.6055,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-3.3810,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.4747,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(0.9072,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.9762,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(1.8439,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-3.9568,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.0314,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(1.7280,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.9868,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(1.0289,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.4179,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-3.4713,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(2.4988,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.8528,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(0.1840,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.7511,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-2.8106,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(3.1972,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.5782,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=window;hsrmode=3;nomidpts=true;anaglyph=-1;center=2,1,1,1;focus=0,0,0,1;up=0,1,0,1;transparent=false;alpha=140;twoviews=false;unlinkviews=false;axisextension=0.7;xaxislabel=x;yaxislabel=y;zaxislabel=z;edgeson=true;faceson=false;showbox=false;showaxes=false;showticks=true;perspective=false;centerxpercent=0.5170894526034712;centerypercent=0.4912280701754386;rotationsteps=30;autospin=true;xygrid=false;yzgrid=false;xzgrid=false;gridsonbox=true;gridplanes=false;gridcolor=rgb(128,128,128);xmin=-5;xmax=5;ymin=-2;ymax=2;zmin=-2;zmax=2;xscale=1;yscale=1;zscale=1;zcmin=-4;zcmax=4;zoom=0.45;xscalefactor=1;yscalefactor=1;zscalefactor=1&#39;</span>\
     <span class="o">+</span><span class="s1">&#39; width=&quot;90%&quot;&gt;&#39;</span><span class="p">)</span>
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    <div class="prompt output_prompt">Out[8]:</div>


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<iframe frameborder="0" height="480px" src="https://c3d.libretexts.org/CalcPlot3D/dynamicFigure/index.html?type=point;point=(5.0000,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(1.3821,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-4.2359,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-3.7239,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(2.1771,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(4.9275,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(0.5470,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-4.6251,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-3.1040,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(2.9091,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(4.7123,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-0.3039,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-4.8803,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-2.3942,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(3.5567,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(4.3605,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-1.1460,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-4.9940,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-1.6149,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(4.1012,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(3.8823,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-1.9549,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-4.9631,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-0.7889,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(4.5269,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(3.2916,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-2.7072,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-4.7882,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(0.0600,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(4.8214,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(2.6055,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-3.3810,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-4.4747,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(0.9072,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(4.9762,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(1.8439,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-3.9568,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-4.0314,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(1.7280,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(4.9868,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(1.0289,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-4.4179,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-3.4713,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(2.4988,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(4.8528,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(0.1840,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-4.7511,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(-2.8106,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(3.1972,0,0);visible=true;color=rgb(0,0,255);size=4&type=point;point=(4.5782,0,0);visible=true;color=rgb(0,0,255);size=4&type=window;hsrmode=3;nomidpts=true;anaglyph=-1;center=2,1,1,1;focus=0,0,0,1;up=0,1,0,1;transparent=false;alpha=140;twoviews=false;unlinkviews=false;axisextension=0.7;xaxislabel=x;yaxislabel=y;zaxislabel=z;edgeson=true;faceson=false;showbox=false;showaxes=false;showticks=true;perspective=false;centerxpercent=0.5170894526034712;centerypercent=0.4912280701754386;rotationsteps=30;autospin=true;xygrid=false;yzgrid=false;xzgrid=false;gridsonbox=true;gridplanes=false;gridcolor=rgb(128,128,128);xmin=-5;xmax=5;ymin=-2;ymax=2;zmin=-2;zmax=2;xscale=1;yscale=1;zscale=1;zcmin=-4;zcmax=4;zoom=0.45;xscalefactor=1;yscalefactor=1;zscalefactor=1 width="90%">
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<p>or, even worse:</p>

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<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[9]:</div>
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    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">from</span> <span class="nn">IPython.display</span> <span class="k">import</span> <span class="n">HTML</span>
<span class="n">HTML</span><span class="p">(</span><span class="s1">&#39;&lt;iframe frameborder=&quot;0&quot; height=&quot;480px&quot; src=&quot;https://c3d.libretexts.org/CalcPlot3D/dynamicFigure/&#39;</span>\
     <span class="o">+</span><span class="s1">&#39;index.html?type=point;point=(5.0000,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(1.3821,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.2359,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-3.7239,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(2.1771,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.9275,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(0.5470,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.6251,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-3.1040,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(2.9091,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.7123,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-0.3039,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.8803,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-2.3942,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(3.5567,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.3605,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-1.1460,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.9940,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-1.6149,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.1012,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(3.8823,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-1.9549,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.9631,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-0.7889,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.5269,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(3.2916,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-2.7072,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.7882,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(0.0600,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.8214,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(2.6055,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-3.3810,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.4747,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(0.9072,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.9762,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(1.8439,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-3.9568,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.0314,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(1.7280,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.9868,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(1.0289,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.4179,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-3.4713,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(2.4988,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.8528,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(0.1840,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-4.7511,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(-2.8106,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(3.1972,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=point;point=(4.5782,0,0);visible=true;color=rgb(0,0,255);size=4&amp;type=window;hsrmode=3;nomidpts=true;anaglyph=-1;&#39;</span>\
     <span class="o">+</span><span class="s1">&#39;center=1,0.01,0,1;focus=0,0,0,1;up=0,0,1,1;transparent=false;alpha=140;twoviews=false;unlinkviews=false;axisextension=0.7;xaxislabel=x;yaxislabel=y;zaxislabel=z;edgeson=true;faceson=false;&#39;</span>\
     <span class="o">+</span><span class="s1">&#39;showbox=false;showaxes=false;showticks=true;perspective=false;centerxpercent=0.5170894526034712;centerypercent=0.4912280701754386;rotationsteps=30;autospin=true;xygrid=false;yzgrid=false;xzgrid=false;gridsonbox=true;gridplanes=false;gridcolor=rgb(128,128,128);xmin=-5;xmax=5;ymin=-2;ymax=2;zmin=-2;zmax=2;xscale=1;yscale=1;zscale=1;zcmin=-4;zcmax=4;zoom=0.45;xscalefactor=1;yscalefactor=1;zscalefactor=1&#39;</span>\
     <span class="o">+</span><span class="s1">&#39; width=&quot;90%&quot;&gt;&#39;</span><span class="p">)</span>
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<p>(interact with each of the "axeless" graphs to assure that they are indeed the same points, albeit viewed from different angles)</p>
<p>The data recorded by the camera is dependent on what it sees, <em>with respect to</em> its x &amp; y axes.</p>

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<h2 id="The-problem-(and-hopefully-the-solution)">The problem (and hopefully the solution)<a class="anchor-link" href="#The-problem-(and-hopefully-the-solution)">&#182;</a></h2><p>Now, we are going to suppose that, since we didn't know the system, we arbitrarily placed three cameras, like the ones shown in <a href="https://arxiv.org/abs/1404.1100">Shlen's examplary paper</a>.</p>
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" alt="Shlen_system.png"></p>

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<h2 id="Rotation-Operator-in-3D">Rotation Operator in 3D<a class="anchor-link" href="#Rotation-Operator-in-3D">&#182;</a></h2>$$\begin{align*}R &amp;= R_z(\alpha) \, R_y(\beta) \, R_x(\gamma) \\&amp;= \begin{bmatrix}
\cos \alpha &amp; -\sin \alpha &amp; 0 \\
\sin \alpha &amp;  \cos \alpha &amp; 0 \\
 0          &amp;   0          &amp; 1 \\
\end{bmatrix}\begin{bmatrix}
 \cos \beta &amp; 0 &amp; \sin \beta \\
  0         &amp; 1 &amp;  0 \\
-\sin \beta &amp; 0 &amp; \cos \beta \\
\end{bmatrix}\begin{bmatrix}
1 &amp;  0          &amp;   0 \\
0 &amp; \cos \gamma &amp; -\sin \gamma \\
0 &amp; \sin \gamma &amp;  \cos \gamma \\
\end{bmatrix}\\
&amp;= 
\begin{bmatrix}
\cos\alpha\cos\beta &amp; \cos\alpha\sin\beta\sin\gamma - \sin\alpha\cos\gamma &amp; \cos\alpha\sin\beta\cos\gamma + \sin\alpha\sin\gamma \\
\sin\alpha\cos\beta &amp; \sin\alpha\sin\beta\sin\gamma + \cos\alpha\cos\gamma &amp; \sin\alpha\sin\beta\cos\gamma - \cos\alpha\sin\gamma \\
-\sin\beta &amp; \cos\beta\sin\gamma &amp; \cos\beta\cos\gamma \\
\end{bmatrix}\end{align*}$$
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<div class="prompt input_prompt">In&nbsp;[10]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">Rx</span><span class="p">(</span><span class="n">gamma</span><span class="p">):</span>
    <span class="n">Rx</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</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="n">np</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">gamma</span><span class="p">),</span><span class="o">-</span><span class="n">np</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">gamma</span><span class="p">)],</span>\
                   <span class="p">[</span><span class="mi">0</span><span class="p">,</span><span class="n">np</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">gamma</span><span class="p">),</span><span class="n">np</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">gamma</span><span class="p">)]])</span>
    <span class="k">return</span> <span class="n">Rx</span>
<span class="k">def</span> <span class="nf">Ry</span><span class="p">(</span><span class="n">beta</span><span class="p">):</span>
    <span class="n">Ry</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([[</span><span class="n">np</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">beta</span><span class="p">),</span><span class="mi">0</span><span class="p">,</span><span class="n">np</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">beta</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="o">-</span><span class="n">np</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">beta</span><span class="p">),</span><span class="mi">0</span><span class="p">,</span><span class="n">np</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">beta</span><span class="p">)]])</span>
    <span class="k">return</span> <span class="n">Ry</span>
<span class="k">def</span> <span class="nf">Rz</span><span class="p">(</span><span class="n">alpha</span><span class="p">):</span>
    <span class="n">Rz</span> <span class="o">=</span>  <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([[</span><span class="n">np</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">alpha</span><span class="p">),</span><span class="o">-</span><span class="n">np</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">alpha</span><span class="p">),</span><span class="mi">0</span><span class="p">],</span>\
                    <span class="p">[</span><span class="n">np</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">alpha</span><span class="p">),</span><span class="n">np</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">alpha</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="k">return</span> <span class="n">Rz</span>
<span class="k">def</span> <span class="nf">RzRyRx</span><span class="p">(</span><span class="n">alpha</span><span class="p">,</span><span class="n">beta</span><span class="p">,</span><span class="n">gamma</span><span class="p">):</span>
    <span class="k">return</span> <span class="n">np</span><span class="o">.</span><span class="n">linalg</span><span class="o">.</span><span class="n">multi_dot</span><span class="p">((</span><span class="n">Rz</span><span class="p">(</span><span class="n">alpha</span><span class="p">),</span><span class="n">Ry</span><span class="p">(</span><span class="n">beta</span><span class="p">),</span><span class="n">Rx</span><span class="p">(</span><span class="n">gamma</span><span class="p">)))</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">Rx</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">pi</span><span class="p">)</span>
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<pre>array([[ 1.0000000e+00,  0.0000000e+00,  0.0000000e+00],
       [ 0.0000000e+00, -1.0000000e+00, -1.2246468e-16],
       [ 0.0000000e+00,  1.2246468e-16, -1.0000000e+00]])</pre>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">RzRyRx</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="n">np</span><span class="o">.</span><span class="n">pi</span><span class="p">)</span>
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<pre>array([[ 1.0000000e+00,  0.0000000e+00,  0.0000000e+00],
       [ 0.0000000e+00, -1.0000000e+00, -1.2246468e-16],
       [ 0.0000000e+00,  1.2246468e-16, -1.0000000e+00]])</pre>
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<h2 id="Transforming-the-data">Transforming the data<a class="anchor-link" href="#Transforming-the-data">&#182;</a></h2><p>If we are to transform (rotate) our data points in 3D, we need our points to be defined in 3D:</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">data3D</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="n">N</span><span class="p">,</span><span class="mi">3</span><span class="p">))</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="n">N</span><span class="p">):</span>
    <span class="n">data3D</span><span class="p">[</span><span class="n">i</span><span class="p">,</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="n">x</span><span class="p">[</span><span class="n">i</span><span class="p">]</span>
<span class="n">data3D</span><span class="p">[:,</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">rand</span><span class="p">(</span><span class="n">N</span><span class="p">)</span><span class="o">*</span><span class="mi">2</span><span class="o">-</span><span class="mi">1</span><span class="p">)</span><span class="o">*</span><span class="mf">0.5</span>
<span class="c1">#print(data3D)</span>
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<p>This is our most convenient view of the data, as seen along the z-axis, with the x-axis being the horizontal and y-axis being the vertical.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">data3D</span><span class="p">[:,</span><span class="mi">0</span><span class="p">],</span><span class="n">data3D</span><span class="p">[:,</span><span class="mi">1</span><span class="p">],</span><span class="s2">&quot;ob&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;Perfect View (along the z-axis)&quot;</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="s2">&quot;x axis&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s2">&quot;y axis&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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<p>Now, we are going to rotate our camera around the y-axis for 90&deg; degrees such that we are looking along the x-axis (and kudos to those of you who thought "but this transformation operation is about the rotation of the points, not the axes" -- fortunately, for this case, the two interpretations don't differ very much in perception ;)</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">data3Dp</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linalg</span><span class="o">.</span><span class="n">multi_dot</span><span class="p">((</span><span class="n">Ry</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">deg2rad</span><span class="p">(</span><span class="mi">90</span><span class="p">)),</span><span class="n">data3D</span><span class="p">[:,:]</span><span class="o">.</span><span class="n">T</span><span class="p">))</span><span class="o">.</span><span class="n">T</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">data3Dp</span><span class="p">[:,</span><span class="mi">0</span><span class="p">],</span><span class="n">data3Dp</span><span class="p">[:,</span><span class="mi">1</span><span class="p">],</span><span class="s2">&quot;ob&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;View along the x-axis&quot;</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="s2">&quot;Camera&#39;s x-axis&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s2">&quot;Camera&#39;s y-axis&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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<p>It seems just about the same as looking along the z-axis until you see the order of range at the bottom (x10<sup>-16</sup>)... So, this is what it actully looks like when you equate the range to that of the z-axis view:</p>

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<div class="prompt input_prompt">In&nbsp;[18]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">data3Dp</span><span class="p">[:,</span><span class="mi">0</span><span class="p">],</span><span class="n">data3Dp</span><span class="p">[:,</span><span class="mi">1</span><span class="p">],</span><span class="s2">&quot;ob&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;View along the x-axis - Range fixed&quot;</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="s2">&quot;Camera&#39;s x-axis&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s2">&quot;Camera&#39;s y-axis&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">axis</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="o">-</span><span class="mf">0.05</span><span class="p">,</span><span class="mf">0.05</span><span class="p">]))</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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<p>...and here are the three in one graph:</p>

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<div class="prompt input_prompt">In&nbsp;[19]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plt</span><span class="o">.</span><span class="n">subplot</span><span class="p">(</span><span class="mi">3</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">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">data3D</span><span class="p">[:,</span><span class="mi">0</span><span class="p">],</span><span class="n">data3D</span><span class="p">[:,</span><span class="mi">1</span><span class="p">],</span><span class="s2">&quot;ob&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;Perfect View (along the z-axis)&quot;</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="s2">&quot;Camera&#39;s x-axis&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s2">&quot;Camera&#39;s y-axis&quot;</span><span class="p">)</span>

<span class="n">plt</span><span class="o">.</span><span class="n">subplot</span><span class="p">(</span><span class="mi">3</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="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">data3Dp</span><span class="p">[:,</span><span class="mi">0</span><span class="p">],</span><span class="n">data3Dp</span><span class="p">[:,</span><span class="mi">1</span><span class="p">],</span><span class="s2">&quot;ob&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;View along the x-axis&quot;</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="s2">&quot;Camera&#39;s x-axis&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s2">&quot;Camera&#39;s y-axis&quot;</span><span class="p">)</span>

<span class="n">plt</span><span class="o">.</span><span class="n">subplot</span><span class="p">(</span><span class="mi">3</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">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">data3Dp</span><span class="p">[:,</span><span class="mi">0</span><span class="p">],</span><span class="n">data3Dp</span><span class="p">[:,</span><span class="mi">1</span><span class="p">],</span><span class="s2">&quot;ob&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;View along the x-axis - Range fixed&quot;</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="s2">&quot;Camera&#39;s x-axis&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s2">&quot;Camera&#39;s y-axis&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">axis</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="o">-</span><span class="mf">0.5</span><span class="p">,</span><span class="mf">0.5</span><span class="p">]))</span>

<span class="n">plt</span><span class="o">.</span><span class="n">subplots_adjust</span><span class="p">(</span><span class="n">hspace</span><span class="o">=</span><span class="mi">3</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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<div class="prompt input_prompt">In&nbsp;[20]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Camera A data:</span>
<span class="n">data3D_A</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linalg</span><span class="o">.</span><span class="n">multi_dot</span><span class="p">((</span><span class="n">Rz</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">deg2rad</span><span class="p">(</span><span class="mi">80</span><span class="p">)),</span><span class="n">Rx</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">deg2rad</span><span class="p">(</span><span class="mi">20</span><span class="p">)),</span><span class="n">data3D</span><span class="p">[:,:]</span><span class="o">.</span><span class="n">T</span><span class="p">))</span><span class="o">.</span><span class="n">T</span>
<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">data3D_A</span><span class="p">[:,</span><span class="mi">0</span><span class="p">],</span><span class="n">data3D_A</span><span class="p">[:,</span><span class="mi">1</span><span class="p">],</span><span class="s2">&quot;ob&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;Camera A&quot;</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="s2">&quot;Camera A&#39;s x-axis&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s2">&quot;Camera A&#39;s y-axis&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">axis</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">np</span><span class="o">.</span><span class="n">min</span><span class="p">(</span><span class="n">data3D_A</span><span class="p">[:,</span><span class="mi">1</span><span class="p">])</span><span class="o">*</span><span class="mf">1.1</span><span class="p">,</span><span class="n">np</span><span class="o">.</span><span class="n">max</span><span class="p">(</span><span class="n">data3D_A</span><span class="p">[:,</span><span class="mi">1</span><span class="p">])</span><span class="o">*</span><span class="mf">1.1</span><span class="p">]))</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div>

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>
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<div class="prompt input_prompt">In&nbsp;[21]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Camera B data:</span>
<span class="n">data3D_B</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linalg</span><span class="o">.</span><span class="n">multi_dot</span><span class="p">((</span><span class="n">Ry</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">deg2rad</span><span class="p">(</span><span class="mi">20</span><span class="p">)),</span><span class="n">Rz</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">deg2rad</span><span class="p">(</span><span class="mi">100</span><span class="p">)),</span><span class="n">data3D</span><span class="p">[:,:]</span><span class="o">.</span><span class="n">T</span><span class="p">))</span><span class="o">.</span><span class="n">T</span>
<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">data3D_B</span><span class="p">[:,</span><span class="mi">0</span><span class="p">],</span><span class="n">data3D_B</span><span class="p">[:,</span><span class="mi">1</span><span class="p">],</span><span class="s2">&quot;ob&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;Camera B&quot;</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="s2">&quot;Camera B&#39;s x-axis&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s2">&quot;Camera B&#39;s y-axis&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">axis</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">np</span><span class="o">.</span><span class="n">min</span><span class="p">(</span><span class="n">data3D_B</span><span class="p">[:,</span><span class="mi">1</span><span class="p">])</span><span class="o">*</span><span class="mf">1.1</span><span class="p">,</span><span class="n">np</span><span class="o">.</span><span class="n">max</span><span class="p">(</span><span class="n">data3D_B</span><span class="p">[:,</span><span class="mi">1</span><span class="p">])</span><span class="o">*</span><span class="mf">1.1</span><span class="p">]))</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div>

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V4s3oosSwJ4StIC4EZgQtJnged6G5bZYKm3JoCU9AW4Q9iKKksCOBbYDJwJfBd4ADi6l0GZDZrqZSMhufhXFtvzIvFWVE2XhJQ0F7guIg7tX0iNeUlIGwReItKKpu0lIQEi4mWSQnA79yioIyT9XNL9ks7pxTnM+s0dwjYosswD2ESyCMy1VLX9R8RpszlxendxEfCHwKPALZKujIi7ZnNcs7wtXVr/DsAdwlY0WRLA5emj2w4C7q+sMyDpayT9DU4ANtBWrZo5KQy8SLwVU8sEEBFrJO0ALI2In3fx3LsBj1Q9fxR4UxePb5YLLxJvgyLLTOCjgdtJRgAh6QBJV/Y4rurzr5A0KWlyaspr0dtgGB9POny3bk1++uJvRZRlGOjHSJprngKIiNuB3+3CuX8B7F71fEm6bYaIWB0RYxExtnjx4i6c1szMIPtM4Kdrtm3twrlvAfaStIek+cB7gL7dWZh1m6uB2qDJ0gm8XtIJwFxJewGnATfN9sQRsUXSB4FrgLnAJRGxfrbHNcuDq4HaIGo6EQxA0giwEjicZH3ga4DzI+I3vQ9vJk8Es6Ly5C8rskYTwbKMAtpMkgBc2NasAU/+skHUMgFIGgPOA0ar94+I/XoXltlg8eQvG0RZ+gAmgI8C6+hO56/Z0PHkLxtEWRLAVER4dI5ZE578ZYMoSyfwYcDxwPXAC5XtEdGL8hBNuRPYzKx9HXcCA6cArwO2Y7oJKOhNfSAzM+uTLBPB/ms6E/ekiDglfbyv55GZDRlPFLOiyZIAbpK0T88jMRtilYliGzcmK4V5lTArgiwJ4GDg9nThljslrZN0Z68DMxsmK1fOHCEEyfOVnl1jOcrSB3BEz6MwG3KeKGZF1PIOICI2RsRG4HmSzt/Kw8wyajQhzBPFLE9Z1gM4RtJ9wEPAvwIbgKt7HJfZUFm1KpkYVs0TxSxvWfoAzifpB7g3IvYADgNu7mlUZkNmfBxWr06Kw0nJz9WrPVHM8pV1PYAngTmS5kTEDcA2EwrMyizLEE+vEmZFk6UT+ClJC4AbgQlJvwSe621YZoPDawHYoMpyB3AssBk4k2Rd4AeAo3sZlNkg8RBPG1QNE4Ck35N0SEQ8FxFbI2JLRKwBbgV26VuEZgXXaCjnxo2e+WvF1uwO4ALgmTrbn05fMzMaD+WUPPPXiq1ZAtg1ItbVbky3jfYsIrMBU2+Ip5Rc+Ks1axZynSDLQ7MEsEuT13bochxmA6veEM9GVdbrNRe5TpDlpVkCmJT0/tqNkk4F1vYuJLPiq/3GDjOHeC5bVv999ZqL3IlseWk2DPQM4ApJ40xf8MeA+cBxPY7LrLCyDPtsZ4lI1wmyvDS8A4iIJyLi94GPk5R/2AB8PCLeHBGP9yc8s+LJ8o29nZm/rhNkeWm5JGSReElIK4I5c+q38UtJE1C7au8oILlbcKkI65ZGS0JmmQjWi2A+JemedH2BKyTtkkccZp3o9jd21wmyvOSSAIBrgddHxH7AvcC5OcVh1rZeVPZ0nSDLQy4JICK+FxFb0qc3A0vyiMOsE/7GbsMirzuAau+jyfoCklZImpQ0OTU11cewzBrL+o3dE7ysyHqWACRdJ+lndR7HVu2zEtgCNPxnERGrI2IsIsYWL17cq3DNuq7ZBC8nBiuCLOWgOxIR72j2uqSTgaOAw2KQhiKZVZmYSIZ/Pvxw0gm8atX03UCj4aKnnw7PP+/y0Za/vEYBHQGcDRwTEZtb7W9WRK1KODSayPXkk575a8WQVx/AhcBOwLWSbpf0xZziMOtYqwlh7Q4L9cxf67eeNQE1ExG/l8d5zbqpVQmHVavgxBMbF4ar5Zm/1m9FGAVkNpBaTQgbH89+8Z/tPAKzTjgBmHUoy4SwRlVBFy70PALLnxOAWYeyTAirlyTmz09+1hs5ZNZPTgBms9BqQlhtkli4MGkWevLJ1ou/eK6A9ZoTgFmPVSeJBQvgpZdmvl5vCKhXCbN+cAIw66Osi794lTDrBycAsz7KWkraq4RZPzgBmPVR1lLSXiXM+sEJwKyP6o0cOumkpGmnurO3F2sOmNVyAjDrs+pO4VWrYM2abTt7wWsOWO95TWCzHI2OJhf9WsuWJUnCrBsKtSawmSXa6ez1vADrNicAsx5qddHO2tnreQHWC04AZj2S5aKdtbPX8wKsF5wAzLqo+hv/SSe1vmhnXWC+UVPRxo2+C7DO5bIegNkwqnzjr1z0X365/n61F/Px8daje5Yurd9ZDF5O0jrnOwCzLqnXTFNPJ5O56jUVVbgpyDrlOwCzLslSpqHTyVyVb/fLl3d+brNavgMw65JG3+znzu3OZK7x8cYLzLhEhHXCCcCsSxqN6FmzpvF6AbVaDRt1iQjrJicAsy7JOqKnkSzDRmd7DrNqLgVhVhAuC2G94lIQZgXXyRoALg9hs+EEYFYQ7a4B4PIQNlu5JgBJZ0kKSYvyjMOsCNrt4HV5CJut3BKApN2BwwGPYDYjewdvpdmn0cxgzwmwrPK8A/gMcDYwOL3QZm1qt42+erGYesNGq5t9GvGcAMsqlwQg6VjgFxFxR4Z9V0ialDQ5NTXVh+jMuqMXbfStyk1stx1s2uROYcumZ8NAJV0HvLrOSyuB84DDI+JpSRuAsYj4VatjehioDZJeDOucMydJJvUsXAjPPgsvvji9bWTE8wSs8TDQvs8DkLQvcD1Q+R6zBPh34KCIeLzZe50AbJA0ulhLSRNPJ5olFfA8AquvMPMAImJdRLwqIkYjYhR4FHhDq4u/2aBpd1hnFs1GCnUyj8DKzfMAzHqkF3V7mo0U6kXCseGWewJI7wRatv+bDZpe1e1pNFLIheKsXbknALNh1mpYZ63ZlHZwoThrlxeEMSuI2iUlK8NGIftFPMvykmYVvgMwKwiXdrB+cwIwKwiP4rF+cwIwKwiP4rF+cwIw66Nmnbz1RvFISV+AyzpYL7gT2KxPWnXyVjpvV65MXpOmZxJ30iFs1oqXhDTrk3ZqA3l5SOumwpSCMCurdjp5W+3rpSCtG5wAzPqknU7eZvt6KUjrFicAsz5pp1RDs309X8C6xQnArE/aKdXQbF/PF7BucSew2YBxB7G1y53AZkPCVT+tW5wAzAaMq35at3gimNkActVP6wbfAZiZlZQTgJlZSTkBmJmV1EANA5U0BdQZANdXiwCvYZzwZzHNn8U0fxbTivJZLIuIxbUbByoBFIGkyXrjacvIn8U0fxbT/FlMK/pn4SYgM7OScgIwMyspJ4D2rc47gALxZzHNn8U0fxbTCv1ZuA/AzKykfAdgZlZSTgBmZiXlBDALks6SFJIW5R1LXiR9StI9ku6UdIWkXfKOqd8kHSHp55Lul3RO3vHkRdLukm6QdJek9ZJOzzumvEmaK+k2SVflHUs9TgAdkrQ7cDhQ9mU4rgVeHxH7AfcC5+YcT19JmgtcBPwRsA9wvKR98o0qN1uAsyJiH+Bg4AMl/iwqTgfuzjuIRpwAOvcZ4Gyg1L3oEfG9iNiSPr0ZWJJnPDk4CLg/Ih6MiBeBrwHH5hxTLiLisYi4Nf39WZIL3275RpUfSUuAI4Ev5R1LI04AHZB0LPCLiLgj71gK5n3A1XkH0We7AY9UPX+UEl/0KiSNAgcCP805lDxdQPIlcWvOcTTk9QAakHQd8Oo6L60EziNp/imFZp9FRPy/dJ+VJE0AE/2MzYpH0gLgm8AZEfFM3vHkQdJRwC8jYq2kt+UcTkNOAA1ExDvqbZe0L7AHcIckSJo8bpV0UEQ83scQ+6bRZ1Eh6WTgKOCwKN/Ekl8Au1c9X5JuKyVJ25Fc/Cci4vK848nRIcAxkt4JbA+8QtKlEbE857hm8ESwWZK0ARiLiCJU/Os7SUcAnwbeGhFTecfTb5LmkXR+H0Zy4b8FOCEi1ucaWA6UfCNaA/w6Is7IOZzCSO8APhIRR+UcyjbcB2CzdSGwE3CtpNslfTHvgPop7QD/IHANSafn18t48U8dApwIvD39f+H29BuwFZTvAMzMSsp3AGZmJeUEYGZWUk4AZmYl5QRgZlZSTgBmZiXlBGCFJOnVkr4m6QFJayV9R9Jr846rlqQNktalQx7XpWVC/vO1HEND0pikz+UZgxWbh4Fa4aQTim4C1kTEF9Nt+wOviIgf9uH886oK3LXadwPpREBJewPfi4hlldciYrR3kZrNju8ArIgOBV6qXPwBIuKOiPihpAWSrpd0a/U3bkmj6boE/yTpXkkTkt4h6ceS7pN0ULrfjpIukfRvaZ32yvtPlnSlpO8D1zc6TwuvAP6j6vlUeuzXSLoxvUv4maQ/qH6TpJ3T9QT2Tp9/VdL7aw+e/o0/TGO6VdLvp9uPS2NVeq570zuot1Xq0Et6a9XkrNsk7ZT5v4YNr4jww49CPYDTgM80eG0eyZ0AwCLgfkDAKEkxun1JvtisBS5JXzsW+Fb6nk8Ay9PfdyEp47AjcDJJJc/fbnaeOvFsANYBPwM2A0fV2ecsksJ5AHOBners84fAT4D3AN9t8LePANunv+8FTFa9dinJjOSrgOPTbW8Drkp//zZwSPr7AmBe3v+d/cj/4WJwNmgEfELSW0jK7O4G7Jq+9lBErAOQtB64PiJC0jqSBAFJFddjJH0kfb49sDT9/dqI+HWL89Qr+HdoJE1Ae5LcPfwgIjZVvX4LcElaKO1bEXF77QEi4lpJf0yyuMz+Df727YALJR0AvAxU94l8iCQJ3RwRX63z3h8Dn5Y0AVweEY82OIeViJuArIjWA29s8No4sBh4Y0QcADxBchEHeKFqv61Vz7cyXflWwLsj4oD0sTQiKis2PZfxPHVFxAPpfvvUbL8ReAtJsbh/kvTe2vdKmgP8F5K7iFem246rarYZA85Mj78/MAbMrzrEkvTv3DU9Vm1sfwecCuwA/FjS65r9LVYOTgBWRN8HfkvSisoGSfulbec7k9RZf0nSocCyNo99DfChtKMZSQc22K/t80h6FUmp8I0125cBT0TExSSrQ72hztvPJCkmdwLwZUnbRcQVVYlqMo3psYjYSlJ0bW56/HkkzV3Hp8f4cJ3Y9oyIdRHxv0nuSJwAzE1AVjxps81xwAWS/hL4DUlb+xkkC858O23WmQTuafPw55Os1HRn+k35IZK1DGq1c54bJL1M0kRzTkQ8UfP624CPSnoJ2ATMuANIO39PBQ6KiGcl3Qj8FfDXNcf5PPDN9A7iu0zfsZwH/DAifiTpDuAWSf9S894z0kS2leQOq2wrt1kdHgZqZlZSbgIyMyspJwAzs5JyAjAzKyknADOzknICMDMrKScAM7OScgIwMyup/w83Sx6ufGaTrwAAAABJRU5ErkJggg==
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<div class="prompt input_prompt">In&nbsp;[22]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Camera C data:</span>
<span class="n">data3D_C</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linalg</span><span class="o">.</span><span class="n">multi_dot</span><span class="p">((</span><span class="n">Rz</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">deg2rad</span><span class="p">(</span><span class="mi">60</span><span class="p">)),</span><span class="n">Rx</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">deg2rad</span><span class="p">(</span><span class="mi">160</span><span class="p">)),</span><span class="n">Rz</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">deg2rad</span><span class="p">(</span><span class="mi">180</span><span class="p">)),</span><span class="n">data3D</span><span class="p">[:,:]</span><span class="o">.</span><span class="n">T</span><span class="p">))</span><span class="o">.</span><span class="n">T</span>
<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">data3D_C</span><span class="p">[:,</span><span class="mi">0</span><span class="p">],</span><span class="n">data3D_C</span><span class="p">[:,</span><span class="mi">1</span><span class="p">],</span><span class="s2">&quot;ob&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;Camera C&quot;</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="s2">&quot;Camera C&#39;s x-axis&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s2">&quot;Camera C&#39;s y-axis&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">axis</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">np</span><span class="o">.</span><span class="n">min</span><span class="p">(</span><span class="n">data3D_C</span><span class="p">[:,</span><span class="mi">1</span><span class="p">])</span><span class="o">*</span><span class="mf">1.1</span><span class="p">,</span><span class="n">np</span><span class="o">.</span><span class="n">max</span><span class="p">(</span><span class="n">data3D_C</span><span class="p">[:,</span><span class="mi">1</span><span class="p">])</span><span class="o">*</span><span class="mf">1.1</span><span class="p">]))</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div>

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<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[23]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">data_all</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="n">data3D_A</span><span class="p">[:,</span><span class="mi">0</span><span class="p">],</span><span class="n">data3D_A</span><span class="p">[:,</span><span class="mi">1</span><span class="p">],</span>
                     <span class="n">data3D_B</span><span class="p">[:,</span><span class="mi">0</span><span class="p">],</span><span class="n">data3D_B</span><span class="p">[:,</span><span class="mi">1</span><span class="p">],</span>
                     <span class="n">data3D_C</span><span class="p">[:,</span><span class="mi">0</span><span class="p">],</span><span class="n">data3D_C</span><span class="p">[:,</span><span class="mi">1</span><span class="p">]])</span>
<span class="c1">#data_all = np.array([data3D_C[:,0],data3D_C[:,1],</span>
<span class="c1">#                     data3D_B[:,0],data3D_B[:,1],</span>
<span class="c1">#                     data3D_A[:,0],data3D_A[:,1]])</span>
<span class="nb">print</span><span class="p">(</span><span class="n">data_all</span><span class="p">[:,</span><span class="mi">0</span><span class="p">:</span><span class="mi">3</span><span class="p">])</span>
<span class="nb">print</span><span class="p">(</span><span class="n">data3D_A</span><span class="p">[</span><span class="mi">0</span><span class="p">,:])</span>
<span class="nb">print</span><span class="p">(</span><span class="n">data3D_B</span><span class="p">[</span><span class="mi">1</span><span class="p">,:])</span>
<span class="nb">print</span><span class="p">(</span><span class="n">data3D_C</span><span class="p">[</span><span class="mi">2</span><span class="p">,:])</span>
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<pre>[[ 0.38060203  0.24681657 -0.50616615]
 [ 4.68600015  0.1566613  -2.60935965]
 [-1.19603789  0.1804149   0.38898173]
 [ 4.52868211  0.23403536 -2.6256206 ]
 [-2.72054476  0.08837253  1.28951828]
 [-3.83433064 -0.27866015  2.32424279]]
[0.38060203 4.68600015 0.15974492]
[ 0.1804149   0.23403536 -0.06566565]
[ 1.28951828  2.32424279 -0.0165118 ]
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">S</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">dot</span><span class="p">(</span><span class="n">data_all</span><span class="p">,</span><span class="n">data_all</span><span class="o">.</span><span class="n">T</span><span class="p">)</span>
<span class="nb">print</span><span class="p">((</span><span class="n">S</span><span class="o">/</span><span class="p">(</span><span class="n">N</span><span class="o">-</span><span class="mi">1</span><span class="p">)))</span>
<span class="c1">#Sigma = np.cov(data_all)</span>
<span class="c1">#print(Sigma)</span>
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<pre>[[  0.52500164   2.4405002   -0.31523606   2.47392024  -1.1665487
   -2.20699617]
 [  2.4405002   12.94599221  -1.99651785  13.00168514  -6.45199177
  -11.48592869]
 [ -0.31523606  -1.99651785   0.36546064  -1.98352624   1.0418521
    1.73205123]
 [  2.47392024  13.00168514  -1.98352624  13.06570871  -6.46218926
  -11.55007393]
 [ -1.1665487   -6.45199177   1.0418521   -6.46218926   3.25363222
    5.69235549]
 [ -2.20699617 -11.48592869   1.73205123 -11.55007393   5.69235549
   10.21736164]]
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<div class=" highlight hl-ipython3"><pre><span></span><span class="p">[</span><span class="n">u</span><span class="p">,</span><span class="n">s</span><span class="p">,</span><span class="n">vh</span><span class="p">]</span><span class="o">=</span><span class="n">np</span><span class="o">.</span><span class="n">linalg</span><span class="o">.</span><span class="n">svd</span><span class="p">(</span><span class="n">S</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">u</span><span class="p">,</span><span class="s2">&quot;</span><span class="se">\n\n</span><span class="s2">&quot;</span><span class="p">,</span><span class="n">s</span><span class="p">,</span><span class="s2">&quot;</span><span class="se">\n\n</span><span class="s2">&quot;</span><span class="p">,</span><span class="n">vh</span><span class="p">)</span>
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<pre>[[-0.10752973  0.56618061 -0.19499306 -0.05978417 -0.77083374  0.17915294]
 [-0.5675409  -0.11146105 -0.72352328  0.15553322  0.09137513 -0.330829  ]
 [ 0.08701684  0.57003774 -0.30679288 -0.0724583   0.59678529  0.46039144]
 [-0.57017317  0.0953356   0.31596895 -0.74121723  0.11262556 -0.06236827]
 [ 0.28243571  0.50536529  0.07600439 -0.03287623  0.12899105 -0.80083693]
 [ 0.50388033 -0.27854976 -0.48862752 -0.64536906 -0.109499   -0.0355884 ]] 

 [1.96905847e+03 9.22622287e+00 2.13203411e-13 1.69416162e-13
 6.55354615e-14 5.70644012e-15] 

 [[-0.10752973 -0.5675409   0.08701684 -0.57017317  0.28243571  0.50388033]
 [ 0.56618061 -0.11146105  0.57003774  0.0953356   0.50536529 -0.27854976]
 [ 0.13495919  0.54010744  0.13765705 -0.78318704 -0.14515187 -0.19149282]
 [-0.24381292 -0.49891047 -0.15051221 -0.20815926 -0.06246048 -0.78851638]
 [ 0.06561137 -0.26966683  0.58569331  0.04724611 -0.7552015   0.08588819]
 [ 0.76544974 -0.22831088 -0.53183174 -0.08288101 -0.26369737  0.05206035]]
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">u1</span><span class="o">=</span><span class="n">u</span><span class="p">[:,</span><span class="mi">0</span><span class="p">]</span>
<span class="nb">print</span><span class="p">(</span><span class="n">u1</span><span class="p">)</span>
<span class="n">np</span><span class="o">.</span><span class="n">dot</span><span class="p">(</span><span class="n">u1</span><span class="p">,</span><span class="n">data_all</span><span class="p">)</span>
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<pre>[-0.10752973 -0.5675409   0.08701684 -0.57017317  0.28243571  0.50388033]
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<pre>array([ -8.087054  ,  -0.34864517,   4.60159883,   4.87265152,
        -5.86303971,  -6.84257237,   2.61393192,   5.85148689,
         7.93266562,  -2.97043212,  -7.56104413,   2.93649773,
         8.36605708,   7.19615299,  -3.09348758,  -9.84148829,
         3.79173008,   8.46562179,   5.62691772,  -8.78296346,
        -3.62684881,   6.48792742,   8.80652745,   2.97876443,
        -8.7902679 ,  -9.47480938,   0.59136888,   7.11226763,
         1.56546489,  -8.79167104,  -4.92716995,   6.00223686,
         5.35214008,  -0.85402507, -12.37599741,  -2.5777339 ,
         5.75100728,   4.12552831,  -6.47222215,  -5.9485951 ,
        -4.66826121,   3.90568326,   2.24608573,  -6.1366587 ,
        -6.00453932,   3.89533039,   6.86026648,   7.47556212,
        -4.29701557, -10.34978632])</pre>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">m</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="n">data_all</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">m</span><span class="p">)</span>
<span class="n">data_all_norm</span> <span class="o">=</span> <span class="n">data_all</span><span class="o">.</span><span class="n">copy</span><span class="p">()</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">6</span><span class="p">):</span>
    <span class="n">data_all_norm</span><span class="p">[</span><span class="n">i</span><span class="p">,:]</span> <span class="o">-=</span> <span class="n">m</span><span class="p">[</span><span class="n">i</span><span class="p">]</span>
<span class="nb">print</span><span class="p">(</span><span class="n">data_all</span><span class="p">[:,</span><span class="mi">0</span><span class="p">:</span><span class="mi">3</span><span class="p">])</span>
<span class="nb">print</span><span class="p">(</span><span class="n">data_all_norm</span><span class="p">[:,</span><span class="mi">0</span><span class="p">:</span><span class="mi">3</span><span class="p">])</span>
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<pre>[ 0.03288218  0.14982738 -0.01873985  0.15210899 -0.07111797 -0.13591069]
[[ 0.38060203  0.24681657 -0.50616615]
 [ 4.68600015  0.1566613  -2.60935965]
 [-1.19603789  0.1804149   0.38898173]
 [ 4.52868211  0.23403536 -2.6256206 ]
 [-2.72054476  0.08837253  1.28951828]
 [-3.83433064 -0.27866015  2.32424279]]
[[ 0.34771984  0.21393439 -0.53904834]
 [ 4.53617277  0.00683392 -2.75918703]
 [-1.17729805  0.19915475  0.40772158]
 [ 4.37657312  0.08192637 -2.77772959]
 [-2.6494268   0.1594905   1.36063625]
 [-3.69841995 -0.14274946  2.46015348]]
</pre>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">S</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">dot</span><span class="p">(</span><span class="n">data_all_norm</span><span class="p">,</span><span class="n">data_all_norm</span><span class="o">.</span><span class="n">T</span><span class="p">)</span><span class="o">/</span><span class="p">(</span><span class="n">N</span><span class="o">-</span><span class="mi">1</span><span class="p">)</span>
<span class="k">with</span> <span class="n">np</span><span class="o">.</span><span class="n">printoptions</span><span class="p">(</span><span class="n">formatter</span><span class="o">=</span><span class="p">{</span><span class="s1">&#39;float&#39;</span><span class="p">:</span> <span class="s1">&#39;</span><span class="si">{:9.5f}</span><span class="s1">&#39;</span><span class="o">.</span><span class="n">format</span><span class="p">}):</span>
    <span class="nb">print</span><span class="p">(</span><span class="n">S</span><span class="p">)</span>

<span class="c1">#Sigma = np.cov(data_all_norm)</span>
<span class="c1">#print(Sigma)</span>
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<pre>[[  0.52390   2.43547  -0.31461   2.46882  -1.16416  -2.20244]
 [  2.43547  12.92309  -1.99365  12.97843  -6.44112 -11.46515]
 [ -0.31461  -1.99365   0.36510  -1.98062   1.04049   1.72945]
 [  2.46882  12.97843  -1.98062  13.04210  -6.45115 -11.52898]
 [ -1.16416  -6.44112   1.04049  -6.45115   3.24847   5.68249]
 [ -2.20244 -11.46515   1.72945 -11.52898   5.68249  10.19851]]
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<div class=" highlight hl-ipython3"><pre><span></span><span class="p">[</span><span class="n">u</span><span class="p">,</span><span class="n">s</span><span class="p">,</span><span class="n">vh</span><span class="p">]</span><span class="o">=</span><span class="n">np</span><span class="o">.</span><span class="n">linalg</span><span class="o">.</span><span class="n">svd</span><span class="p">(</span><span class="n">S</span><span class="p">)</span>
<span class="n">u</span><span class="o">*=-</span><span class="mi">1</span>
<span class="k">with</span> <span class="n">np</span><span class="o">.</span><span class="n">printoptions</span><span class="p">(</span><span class="n">formatter</span><span class="o">=</span><span class="p">{</span><span class="s1">&#39;float&#39;</span><span class="p">:</span> <span class="s1">&#39;</span><span class="si">{:9.5f}</span><span class="s1">&#39;</span><span class="o">.</span><span class="n">format</span><span class="p">}):</span>
    <span class="nb">print</span><span class="p">(</span><span class="n">u</span><span class="p">,</span><span class="s2">&quot;</span><span class="se">\n\n</span><span class="s2">&quot;</span><span class="p">,</span><span class="n">s</span><span class="p">,</span><span class="s2">&quot;</span><span class="se">\n\n</span><span class="s2">&quot;</span><span class="p">,</span><span class="n">vh</span><span class="p">)</span>
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<pre>[[  0.10750  -0.56619  -0.07014   0.02081   0.15827  -0.79842]
 [  0.56755   0.11143  -0.76471   0.10990   0.23577   0.11417]
 [ -0.08705  -0.57003   0.07203   0.65578   0.19308   0.44155]
 [  0.57017  -0.09537   0.20119   0.20806  -0.76268  -0.01904]
 [ -0.28246  -0.50535  -0.43826  -0.48895  -0.40361   0.26608]
 [ -0.50387   0.27858  -0.41542   0.52448  -0.37081  -0.28873]] 

 [ 40.11294   0.18823   0.00000   0.00000   0.00000   0.00000] 

 [[ -0.10750  -0.56755   0.08705  -0.57017   0.28246   0.50387]
 [  0.56619  -0.11143   0.57003   0.09537   0.50535  -0.27858]
 [  0.07166  -0.75896   0.01175   0.16250  -0.49971  -0.37760]
 [  0.10184  -0.14775   0.10010   0.71716  -0.02817   0.66533]
 [ -0.59472  -0.23063  -0.18078   0.35320   0.59365  -0.28856]
 [  0.54652  -0.12012  -0.79034   0.01844   0.24880  -0.00077]]
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">u1</span><span class="o">=</span><span class="n">u</span><span class="p">[:,</span><span class="mi">0</span><span class="p">]</span>
<span class="nb">print</span><span class="p">(</span><span class="n">u1</span><span class="p">)</span>
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<pre>[ 0.10750032  0.56754669 -0.08704645  0.57016822 -0.28246195 -0.50386586]
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<div class=" highlight hl-ipython3"><pre><span></span><span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="p">[</span><span class="mi">0</span><span class="p">,</span><span class="mi">2</span><span class="p">,</span><span class="mi">4</span><span class="p">]:</span>
    <span class="nb">print</span><span class="p">(</span><span class="n">u1</span><span class="p">[</span><span class="n">i</span><span class="o">+</span><span class="mi">1</span><span class="p">]</span><span class="o">/</span><span class="n">u1</span><span class="p">[</span><span class="n">i</span><span class="p">])</span>
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<pre>5.27948829689203
-6.550160653495635
1.783836200821339
</pre>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">data_all_norm</span><span class="p">[</span><span class="mi">0</span><span class="p">,:],</span><span class="n">data_all_norm</span><span class="p">[</span><span class="mi">1</span><span class="p">,:],</span><span class="s2">&quot;bo&quot;</span><span class="p">)</span>
<span class="n">xx</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="o">-</span><span class="mi">5</span><span class="p">,</span><span class="mi">5</span><span class="p">,</span><span class="n">N</span><span class="p">)</span>
<span class="n">yy</span> <span class="o">=</span> <span class="n">u1</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span><span class="o">/</span><span class="n">u1</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span><span class="o">*</span><span class="n">xx</span>
<span class="n">plt</span><span class="o">.</span><span class="n">axis</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">np</span><span class="o">.</span><span class="n">min</span><span class="p">(</span><span class="n">data_all_norm</span><span class="p">[</span><span class="mi">1</span><span class="p">,:])</span><span class="o">*</span><span class="mf">1.1</span><span class="p">,</span><span class="n">np</span><span class="o">.</span><span class="n">max</span><span class="p">(</span><span class="n">data_all_norm</span><span class="p">[</span><span class="mi">1</span><span class="p">,:])</span><span class="o">*</span><span class="mf">1.1</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">xx</span><span class="p">,</span><span class="n">yy</span><span class="p">,</span><span class="s2">&quot;r-&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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src="data:image/png;base64,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>
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</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[33]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">data_all_norm</span><span class="p">[</span><span class="mi">2</span><span class="p">,:],</span><span class="n">data_all_norm</span><span class="p">[</span><span class="mi">3</span><span class="p">,:],</span><span class="s2">&quot;bo&quot;</span><span class="p">)</span>
<span class="n">xx</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="o">-</span><span class="mi">5</span><span class="p">,</span><span class="mi">5</span><span class="p">,</span><span class="n">N</span><span class="p">)</span>
<span class="n">yy</span> <span class="o">=</span> <span class="n">u1</span><span class="p">[</span><span class="mi">3</span><span class="p">]</span><span class="o">/</span><span class="n">u1</span><span class="p">[</span><span class="mi">2</span><span class="p">]</span><span class="o">*</span><span class="n">xx</span>
<span class="n">plt</span><span class="o">.</span><span class="n">axis</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">np</span><span class="o">.</span><span class="n">min</span><span class="p">(</span><span class="n">data_all_norm</span><span class="p">[</span><span class="mi">3</span><span class="p">,:])</span><span class="o">*</span><span class="mf">1.1</span><span class="p">,</span><span class="n">np</span><span class="o">.</span><span class="n">max</span><span class="p">(</span><span class="n">data_all_norm</span><span class="p">[</span><span class="mi">3</span><span class="p">,:])</span><span class="o">*</span><span class="mf">1.1</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">xx</span><span class="p">,</span><span class="n">yy</span><span class="p">,</span><span class="s2">&quot;r-&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div>

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O66Ebs8dRizJEFNCM84BTTk/Hz9wDWRZKmq8ic9/+Ef/PK2dXWAH9oKbomzMHrkh4DFZrbQzKYAvw5sC+G5IuXnefD++7BvX9QtESlayUHunOsDvgzsBo4BjzrnXir1uSKRWLECZs3SEXCSKKGMkTvndjrnPuac+yXnnKaBJLmmTIG1a7n46DYWNV1W9UNJBO3sFMlzYK5H3btvMP/EQVU/lERQkIvk+VLHGnqpJcPw8Ip2c0qcKchF8hw9OYv/z0r+F1sBN3RduzklrhTkInkaGyGLx2KO8wmOjbguEkcKcpE8mzfDk9PWA+CRBbSbU+JNQS6Sp60NvvmD6zgy5VYydGg3p8ReGDs7RSpOWxtwIgMPPkjXM6dgwajyQSKxoR65SCGe579uG7lRub3dX1uuNeYSFwpykUJuuAE+9rERRbTa2/015d3daI25xIaCXKQQM79Xvn8/vPMO4K8lv3Bh5G1aYy5RU5CLjCWTgUuXYNcuoPBacq0xlygpyEXGcuutMG/e0PCKTgySOFKQi4yluhrWr/dPDfrwQ50YJLGkIBcZTyYD58/D/v06MUhiSUEuMp5Vq2DGjKEa5W1t0NUF/f3+q0JcoqYgF8kzap34Y9NgzRo/yPv7o26eyCgKcpEchdaJP1PvwenTcOhQ1E0UGUVBLpKj0Drx39q+1p/4zNkcJBIXCnKRHIXWg794cjYHaldw9E86tC1fYkdBLpKj0HpwM/jhBx5LOMbU7pe1LV9iRUEukiNonbiZP17eQQaADB1jbstXUS0pNwW5SI6gdeJu4LS3kzTwLMuGDpsIGoZRUS2JgoJcUi+/Bw0j14k3NQ3fm8XjNg4yjzOBwzAqqiVRKCnIzezPzOwXZvaCmW01s2tCapdIWRTTg84dbsniUYXjV6dsD9yWr6JaEoVSe+RPAkudczcB/wH8QelNEimfYnrQucMtL7GUEzULefAT2cAdnSqqJVEoKcidc3ucc30DPx4Eri+9SSLlU2wPemhbvjMav+Kx4Nhev/5KHhXVkiiEOUb+RWBXiM8TueIm1YP2POjthSeeGPWWimpJFMYNcjPba2Y/D/iTyblnE9AHFJybN7MNZtZpZp09PT3htF6kRJPqQd9+O8ydO1REK5+Kakm51Yx3g3Pu7rHeN7PfAFqBVc4NLtQKfM4WYAtAS0tLwftEymkwZDdt8odTGhv9EB8zfGtqoLUVtm71Tw+qrS1LW0UKKXXVympgI7DeOXdhvPtF4qjYHnTuMsXffNzzz/F8+unyNVSkgFLHyL8HXAU8aWbPmdlfhdAmkdjJX6bY3nMPF6jjqd/JahenRK7UVSv/wznX4Jy7eeDPl8JqmEg5jbetPn+Z4kWms5t7+aWfd9Dd7bSLUyKlnZ2SesVsCgpapthBhgZOsozDQ9e0i1OioCCX1CtmU1DQcsQdtHKZqqHaK4O0i1PKTUEuqVfMpqDNm/114bnOMpefcNeoINcuTik3BbmkXjGbgtrahqsg5sricSM/ZxGvANrFKdFQkEvqFbspKLcK4qDcGuXV1fDAA9oAJOWnIJfUK3ZbfVDgd7GQ57kJjyyXL8NDD2nVipSfglyE4jYF5Qd+dbV/PYvHHTzDXHoKrlrRqUFyJSnIRSYgN/D7+/1rWTyq6aeVHcDoyVOdGiRXmoJcZJIGJ0Of42a6aRxavZI/eapTg+RKU5CLTNLwmLnRQYbPsYe5de+PmiTVqUFypSnIRSYpd8y8A486PuBHG/aMGl/XqUFypSnIRUowOGa+r/cumD2b6w93jJrU1KlBcqUpyEXCUFvLa0vu45qfbOdkd9+ISU3QqUFyZSnIRULypy97zOEcd3Jg6NrgpKZODZIrSUEuEpL2N+/lA6aSYeQRcEGTmlpXLmFSkIsUabzwndM0k73cPbAMcbgwS/6kptaVS9gU5CJFKCZ8N2+GnVM8FtLFJ3keCJ7U1LpyCZuCXKSA3B74Aw+MH75tbbDq2+vox/DoKDipWWj9eHd3qM2XFLExDr6/YlpaWlxnZ2fZP1ekWIM98Pzwzmc2vFV/yJ13+r94+HDg7zQ3B4e2GTz8sCZCpTAze9Y515J/XT1ykQBBwx9BAjf1ZDJw5EjBLnbQIRXgD9loeEUmQ0EuEqCY7fMFN/V4nv/a0RHwZuFDKor9XJF8CnKRAIW2z1dXF7GpZ/FiWLIEstmCzw86pGKszxUZi4JcJEChbfUPPVTkph7Po//pH/PJhnOByxW1bV/CpCAXCVDsqUGFPDE1Q1X/ZW46+XjgcsVSny+SK5RVK2b2deDPgXrn3Jvj3a9VK1LpFjb1c+BEAwe5jf/DY0PXm5r83rzIZFyxVStm1gB8DtA0jciA7ter6CDDap5gGheHro81malt+zJZYQytfBvYSO6eZJGUa2yEDjLM4AKr2DfiehBt25dSlBTkZpYBTjnnni/i3g1m1mlmnT09PaV8rEjsbd4MP637LO8wa+gIuLEmM7VtX0oxbpCb2V4z+3nAnwzwIPCHxXyQc26Lc67FOddSX19fartFYq2tDb7/11N4evpa1rONhY2XAyczB4dTCm3P17pyKca4Qe6cu9s5tzT/D/AqsBB43sy6gOuBw2Z27ZVtskg0JjqG3dYG6//W46P08Gr7vweG+OBwSiFaVy7FmPTQinPuRefcR51zzc65ZuAksMw5dya01onExKTHsNesgdrawF2e45UBqK2F997T5KeMT+vIRYow6THsWbNg5UrYunXUvvyxhk3mzPHXl589q8lPGV9oQT7QMx93DblIEhUK3aLGsD0PXnkFjh4dcbnQsElTE8ycCb29I69r8lMKUY9cpAiFQreoMez16/3XvNorY23TL+kfDkkdBblIEUqqjXLddbB8+ahx8rG26Zf0D4ekjoJcpAgl10bxPDh0CE6eHPXcrq7RhbhUVEsmQkEuUqRCoRskf6ni9mrPf2PbtqI/S0W1pFg66k0kZEHHxE2vc5y++uPMurEZ9uyJrG2SbDrqTaRMApcqXjT+8YIH+/fD229H0SypYApykZAVWlny8Lse9PXBrl1lbY9UPgW5SMgKrSw53XgrzJs35hFwIpOhIBeZhLHqrgStOKmthXffr+av/2s95/9lF//09x+Ws7lS4RTkIhM0Xt2V/BUnudvts2S4yp3nn7+0X9vtJTQKcpEJKqbuSu5Sxdzt9vtYxXvMYPWHWTZt0qlAEg4tPxSZoKqqUfWvAL/X3d8//v2P8mvcyQEWcIq66VUjlylO13pxKUzLD0VCMtHt8/nXs3jM5wy3VR3SqUASCgW5yARNdPt8/v07WUsf1azrzwber8JYMlEKcpEJmuj2+fz7r26aTc//XMGv1WQD71dhLJkojZGLROF734OvfIWbp/2C5z/4+NBljZHLWDRGLhInmQwAf+d1qDCWlKwm6gaIpFJDAyxbxi3dWbq6NkbdGkk49chFouJ5cPAgnNF55VIaBblIVDzPX2C+fXvULZGEU5CLRGXpUli0SEW0pGQKcpGomPm98r174fz5qFsjCRbJ8kMz6wG6y/7BI80F3oy4DXGh72KYvoth+i6GxeW7aHLO1edfjCTI48DMOoPWY6aRvoth+i6G6bsYFvfvQkMrIiIJpyAXEUm4NAf5lqgbECP6Lobpuxim72JYrL+L1I6Ri4hUijT3yEVEKoKCXEQk4RTkgJl93cycmc2Nui1RMbM/M7NfmNkLZrbVzK6Juk3lZmarzexlMztuZt+Iuj1RMbMGM9tvZkfN7CUz+2rUbYqamVWb2REz2xF1W4KkPsjNrAH4HJD2c1meBJY6524C/gP4g4jbU1ZmVg18H1gDLAE+b2ZLom1VZPqArzvnlgC3Ab+d4u9i0FeBY1E3opDUBznwbWAjkOpZX+fcHudc38CPB4Hro2xPBJYDx51zrzrneoEfApmI2xQJ59xp59zhgb+fxw+wBdG2Kjpmdj1wH/CDqNtSSKqD3MwywCnn3PNRtyVmvgjsiroRZbYAeD3n55OkOLwGmVkzcAvw04ibEqXv4Hf2+iNuR0EVf7CEme0Frg14axPwIP6wSiqM9V045zoG7tmE/7/W7eVsm8SPmc0EHgO+5px7N+r2RMHMWoE3nHPPmtmKiJtTUMUHuXPu7qDrZnYjsBB43szAH0o4bGbLnXMVWem/0HcxyMx+A2gFVrn0bTA4BTTk/Hz9wLVUMrNa/BBvd879a9TtidAdwHozWwtMA2aZ2SPOuS9E3K4RtCFogJl1AS3OuThUOCs7M1sN/AXwGedcT9TtKTczq8Gf5F2FH+CHgP/rnHsp0oZFwPyezUPAOefc1yJuTmwM9Mh/zznXGnFTRkn1GLmM8D3gKuBJM3vOzP4q6gaV08BE75eB3fiTe4+mMcQH3AHcD6wc+G/huYEeqcSUeuQiIgmnHrmISMIpyEVEEk5BLiKScApyEZGEU5CLiCScglxEJOEU5CIiCfffqxZjkdYfdDYAAAAASUVORK5CYII=
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<div class="prompt input_prompt">In&nbsp;[34]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">data_all_norm</span><span class="p">[</span><span class="mi">4</span><span class="p">,:],</span><span class="n">data_all_norm</span><span class="p">[</span><span class="mi">5</span><span class="p">,:],</span><span class="s2">&quot;bo&quot;</span><span class="p">)</span>
<span class="n">xx</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="o">-</span><span class="mi">5</span><span class="p">,</span><span class="mi">5</span><span class="p">,</span><span class="n">N</span><span class="p">)</span>
<span class="n">yy</span> <span class="o">=</span> <span class="n">u1</span><span class="p">[</span><span class="mi">5</span><span class="p">]</span><span class="o">/</span><span class="n">u1</span><span class="p">[</span><span class="mi">4</span><span class="p">]</span><span class="o">*</span><span class="n">xx</span>
<span class="n">plt</span><span class="o">.</span><span class="n">axis</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">np</span><span class="o">.</span><span class="n">min</span><span class="p">(</span><span class="n">data_all_norm</span><span class="p">[</span><span class="mi">5</span><span class="p">,:])</span><span class="o">*</span><span class="mf">1.1</span><span class="p">,</span><span class="n">np</span><span class="o">.</span><span class="n">max</span><span class="p">(</span><span class="n">data_all_norm</span><span class="p">[</span><span class="mi">5</span><span class="p">,:])</span><span class="o">*</span><span class="mf">1.1</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">xx</span><span class="p">,</span><span class="n">yy</span><span class="p">,</span><span class="s2">&quot;r-&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div>

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>
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<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[35]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="nb">print</span><span class="p">(</span><span class="n">u1</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">data_all_norm</span><span class="o">.</span><span class="n">shape</span><span class="p">)</span>
</pre></div>

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<pre>[ 0.10750032  0.56754669 -0.08704645  0.57016822 -0.28246195 -0.50386586]
(6, 50)
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">res</span><span class="o">=</span><span class="n">np</span><span class="o">.</span><span class="n">dot</span><span class="p">(</span><span class="n">u</span><span class="o">.</span><span class="n">T</span><span class="p">,</span><span class="n">data_all_norm</span><span class="p">)</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">res</span><span class="o">.</span><span class="n">shape</span>
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<pre>(6, 50)</pre>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="k">with</span> <span class="n">np</span><span class="o">.</span><span class="n">printoptions</span><span class="p">(</span><span class="n">formatter</span><span class="o">=</span><span class="p">{</span><span class="s1">&#39;float&#39;</span><span class="p">:</span> <span class="s1">&#39;</span><span class="si">{:7.3f}</span><span class="s1">&#39;</span><span class="o">.</span><span class="n">format</span><span class="p">}):</span>
    <span class="nb">print</span><span class="p">(</span><span class="n">res</span><span class="p">[:,</span><span class="mi">0</span><span class="p">:</span><span class="mi">8</span><span class="p">])</span>
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<pre>[[  7.822   0.083  -4.867  -5.138   5.598   6.577  -2.879  -6.117]
 [  0.871  -0.362   0.028  -0.447  -0.199   0.125   0.063   0.711]
 [ -0.000   0.000  -0.000   0.000   0.000  -0.000  -0.000  -0.000]
 [  0.000  -0.000   0.000  -0.000  -0.000   0.000  -0.000   0.000]
 [  0.000  -0.000  -0.000   0.000   0.000   0.000  -0.000  -0.000]
 [ -0.000   0.000  -0.000   0.000   0.000   0.000  -0.000  -0.000]]
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">res</span><span class="p">[</span><span class="mi">0</span><span class="p">,:],</span><span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">(</span><span class="n">N</span><span class="p">),</span><span class="s2">&quot;r+&quot;</span><span class="p">)</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">6</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">res</span><span class="p">[</span><span class="n">i</span><span class="p">,:],</span><span class="n">np</span><span class="o">.</span><span class="n">ones</span><span class="p">(</span><span class="n">N</span><span class="p">)</span><span class="o">*</span><span class="mf">0.001</span><span class="o">*</span><span class="n">i</span><span class="p">,</span><span class="s2">&quot;go&quot;</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">x</span><span class="p">,</span><span class="n">np</span><span class="o">.</span><span class="n">ones</span><span class="p">(</span><span class="n">N</span><span class="p">)</span><span class="o">*</span><span class="mf">0.006</span><span class="p">,</span><span class="s2">&quot;bx&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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>
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<div class="prompt input_prompt">In&nbsp;[40]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">np</span><span class="o">.</span><span class="n">var</span><span class="p">(</span><span class="n">res</span><span class="p">[</span><span class="mi">0</span><span class="p">,:])</span>
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    <div class="prompt output_prompt">Out[40]:</div>


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<pre>39.31068085791099</pre>
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<div class="prompt input_prompt">In&nbsp;[41]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">np</span><span class="o">.</span><span class="n">diagonal</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">cov</span><span class="p">(</span><span class="n">data_all_norm</span><span class="p">))</span>
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<pre>array([ 0.52389834, 12.92308584,  0.36510229, 13.04209938,  3.24847123,
       10.19851295])</pre>
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<div class="prompt input_prompt">In&nbsp;[42]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">np</span><span class="o">.</span><span class="n">var</span><span class="p">(</span><span class="n">x</span><span class="p">)</span>
</pre></div>

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<pre>13.114541708627875</pre>
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<div class="prompt input_prompt">In&nbsp;[43]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">tt</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="mi">0</span><span class="p">,</span><span class="mi">20</span><span class="p">,</span><span class="mi">1000</span><span class="p">)</span>
<span class="n">xx</span> <span class="o">=</span> <span class="n">A</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">w</span><span class="o">*</span><span class="n">tt</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">tt</span><span class="p">,</span><span class="n">xx</span><span class="p">,</span><span class="s2">&quot;r:&quot;</span><span class="p">,</span><span class="n">linewidth</span><span class="o">=</span><span class="mi">5</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">t</span><span class="p">,</span><span class="n">x</span><span class="p">,</span><span class="s2">&quot;ob-&quot;</span><span class="p">,</span><span class="n">linewidth</span><span class="o">=</span><span class="mi">2</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="s2">&quot;t (s)&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s2">&quot;x (m)&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">yticks</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="o">-</span><span class="mi">5</span><span class="p">,</span><span class="mi">6</span><span class="p">))</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;Position vs. Time (Essential)&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">grid</span><span class="p">(</span><span class="n">axis</span><span class="o">=</span><span class="s1">&#39;y&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>

<span class="n">plt</span><span class="o">.</span><span class="n">subplot</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">1</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;Position vs. Time (Camera A - x)&quot;</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">data_all_norm</span><span class="p">[</span><span class="mi">0</span><span class="p">,:],</span><span class="s2">&quot;bx-&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">subplot</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="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;Position vs. Time (Camera A - y)&quot;</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">data_all_norm</span><span class="p">[</span><span class="mi">1</span><span class="p">,:],</span><span class="s2">&quot;bx-&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">subplots_adjust</span><span class="p">(</span><span class="n">wspace</span><span class="o">=.</span><span class="mi">4</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>

<span class="n">plt</span><span class="o">.</span><span class="n">subplot</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">1</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;Position vs. Time (Camera B - x)&quot;</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">data_all_norm</span><span class="p">[</span><span class="mi">2</span><span class="p">,:],</span><span class="s2">&quot;bx-&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">subplot</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="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;Position vs. Time (Camera B - y)&quot;</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">data_all_norm</span><span class="p">[</span><span class="mi">3</span><span class="p">,:],</span><span class="s2">&quot;bx-&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">subplots_adjust</span><span class="p">(</span><span class="n">wspace</span><span class="o">=.</span><span class="mi">4</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>

<span class="n">plt</span><span class="o">.</span><span class="n">subplot</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">1</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;Position vs. Time (Camera C - x)&quot;</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">data_all_norm</span><span class="p">[</span><span class="mi">4</span><span class="p">,:],</span><span class="s2">&quot;bx-&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">subplot</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="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;Position vs. Time (Camera C - y)&quot;</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">data_all_norm</span><span class="p">[</span><span class="mi">5</span><span class="p">,:],</span><span class="s2">&quot;bx-&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">subplots_adjust</span><span class="p">(</span><span class="n">wspace</span><span class="o">=.</span><span class="mi">4</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>

<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;Position vs. Time (PCA)&quot;</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">res</span><span class="p">[</span><span class="mi">0</span><span class="p">,:],</span><span class="s2">&quot;rx-&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</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">data_all_norm</span><span class="p">[</span><span class="mi">0</span><span class="p">,:],</span><span class="s2">&quot;bx-&quot;</span><span class="p">,</span><span class="n">res</span><span class="p">[</span><span class="mi">0</span><span class="p">,:],</span><span class="s2">&quot;rx-&quot;</span><span class="p">,</span><span class="n">x</span><span class="p">,</span><span class="s2">&quot;go&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div>

    </div>
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<div class="prompt input_prompt">In&nbsp;[44]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">data3D_A</span><span class="p">[:,</span><span class="mi">0</span><span class="p">],</span><span class="s2">&quot;rx&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div>

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    <div class="prompt"></div>


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<h1 id="References">References<a class="anchor-link" href="#References">&#182;</a></h1><ul>
<li>Jonathon Shlens, "A Tutorial on Principal Component Analysis" (2014) <a href="https://arxiv.org/abs/1404.1100">arXiv:1404.1100</a></li>
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