FIZ353_06_b_MatrixApplications_SVD_PCA.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;">The spring "problem"<a class="anchor-link" href="#The-spring-&quot;problem&quot;">&#182;</a></h1><p>Consider an ideal spring attached to a body, on a frictionless 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>
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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>
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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">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&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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Vr5e3KwgUIyjqMdu+rIZcm4bzFrWn+bdOeWlwHIWNXYKw7EZwByGZ6mJrshqFnKIdZ9WzwXQPYzx+Dmq3tPmnq1gPTNSwc2yLlzY1cOfby2e8N79+qOxcyZ/ce8v226Yrx7Z/PG4cptb9cjTFfteDCvJZSXARgxQveQbVacri49KTpYgLNn2+0pQe6KM2OG/j50yB7v3r160nvCBOs+Sw+pFNS+7QIdi//Bxf1zDJ57xKaMDx/WBnWwIp49237nIp+M29uH+t5MYu9erYQrszY59JSyxf3qcxp5j9fmu/baqisZD+a1hPIyAKAFaLO3lK/izJhhPUY8Z8XxDIDNRrp3b9+wvM9FUt2jQ1CnHjEegto30XxwnJ5o3juqf6JZKfsy9hRALkVcBjIewhv3CGDUKJg+PR4DELeM02n9zOViAJRSlUqp55RSd8dCaNuCF1IObW32QtdEciuHOHppg5RDXR3Ub0+TppL6z/zIeAhq0YlmlzI+cMDeauCuLj36GAYyjo23qUmP6MYN3JLZqZG3+byHD+vMY+ViAIBPAy/GxjZnjhvlMH26/rbVe/CMi4veYa45j1GjYPJkK73DohPNLmXc3a1XBNtALncIxNMTzyXjyZO1W9X2CMCbu8uGKyM/fbpecW8r8imfB8ESnBoApdQ84E3AbbGRzpqlhWurl+ZVnHyN1JYBKMZr0wAcOtRv4AZzW+AtNNGcSkHtA8up2Lje3iK0Qr1DsCfjQu5FsCdjkdwyrqjQx2yPALLdPx7iMABK9b9bDzNm6PfR3GyHN2YD4Don8I+AzwMT8p0QJSdwLsxvbeXk7m7+et999GbHUhtCzdNPswB47MUXkaz9WSbt2sUFwLqHHuKwhVWqk9at0/fft4/D2e+ot5fFStHwzDPUR3x3OdHby+LDh2k4enTI/S8YPZr05s2sM8z7vvfN5Ac/OJ2urv4JydGjezn//L3ccMMcurr0OghbeZgXPvss80aO5PE1awb0TKfu3cu5wOr77uPIWWcZ4+u7/5NPci6wZvdu2rLeaeWxY1wBbHvqKXZmb8dhCJUdHVzR3c22lhZ2DpLloqoqOl94gQ026hZw0bZtdE+bxvOD7n9yZydzmppYaYn31OeeY+aECaxatWrA8ZkHDnAW8Ld77qHd2+rFIGY+8oi+f2Mj7ZaebQBy5YmM4wNcC/w88/dVwN3FrgmaEzgnbrtN59msr49+r1z4zGdExo8fenzjRs37m9/Y4b3zTn3/tWuH/jZtmsjHP26H9+BBzfvDHw797a1vFTnnHCu0K1aI1IzYpXPj1mT+r4kpB/QNN4jMmTP0+FNPacK77zZMmMGvfqXvv23bwOPptMioUSKf/7wd3h07NO9ttw397TWvEXnlK+3wiojMmyfy4Q8PPf71r+sydXXZ4X3Xu0ROO23o8Qcf1LyPPWaH99/+Td8/Yg7gwWAY5gS+DLhOKVUP3AG8Wim1wjqrt0rW1hCuubl/D6Bs2HYPeM+TvQo4m9uWn9YLL83FO3OmNd66OqifdB7pj3+qLxY/tkVoxWRsyyWST8aeq8IWryMZI5LfBeSVxdKeT85lPGWKnfsPgsuMYDeLyDwRqQWuBx4WkfdZJ/Yqjq24+Obm3A1l6lTdUG1XnHyV1rZyyDcHcPCgDm0zjd5e/cxZvLEtQssn4ziUQ2WlXuuQi9uVjG3xHjmiJ9Vz8dpux4cO5ZaxVxabMp40SU+ux4DhEAUULzwFabPi5FLClZX6uM0RwOjRA/eI8eCqdzhjhlb+Nnppra26h5jVU4prEVpeGY8fr6OfbMp4ypShETHgVsa2wpu9epOrNxxHRy6XjG1H8+XjtYRhYQBE5FERuTYWMlcjALDbSL2Kk0852KqwhZSDV5FtGIAcyqFvEdrc43oR2rSjdvIg5JOxbVdMIeXgygB45WlpMc9byADY7sjlk/Ho0XoEZvNdl5sBiBWuRgCgew82FXE+3ilTdGMyHPqaSkHtZ9+mt2O4qnZoyKXXcG3Mt+RRDnV1UP/8Eb0I7Uu3mVf+XkjkcJWxLV7Ize1AxoDdjpy3lsOFjAt1IC2g/AzAqFF6qG6j4qTThQU4ZYqdnhIU5z1+3OheMX3bMRyeqLdj2FU5dN9/r+HGNALow6RJujduQyl1dGh3x3CUcUuLnfmWQ4fy+6VdydhmMIfH60rGyQjAMqZNs1Nx2tp0A8wnwMmT3VQcC43U177/cbiA8s23TJlix8gX6g2DWxmL6DpoGvkmRD1eiF/G48bpzlw5ydgCytcA2Kg4hUIxwe4wPWYD4Cvk0lXvEBIZm0S+ld4Q+zxPH5TS3CeSjL2AicQAWIZt5VCo5+CNEmxwx6gcfIVcuvIPgz3l4Kp3ePy4rjuuDEAxXlsyrqzULttcsNWOXcm4mAfBAsrTALhUDjaG6R0d+hOjcvAVcumFpdrqHeYLewUnI4BUCmpv/zIVR1uprRGz+xB5CseFAWhpyW9oJ0+2x3v4cP6wV3A3yrNlAIp1IC2gPA2ArUkcP0NHMN9YCvlKLfHmTY04OOpm6lS7yiEfbMt40LvumxRvnawnxRvV0ElxC7x9sG0APEU/GCNG6LBIG7zeuod8sCXjYh25KVP6gwFs8CZRQJYxaZKuOKZ3BC3mlvAakelK60g59G3H8IlP5c9VastfWkw5eDI2jTwy9jUpHgXFlIMtAyCiF91NmpT/HFsyLmbkbcm4pUW7nibk2aPSQjtOpaD22nN0SPWNV9vZxTYHytMATJ6sU/p1dJi9b2ur/s7XWGwbgHyNZeJEO2GRnnLI1zv0ymTLP1xIOXjzLaaNfGur7vUOcj1Z34fIU7D53rUtV0xHh55/GK4y9tqcSbS29reZfLxgrB33jR6bxurR4/4xZkePBVCeBsBT0KYrT2urDk0bMyb377Z6acUMT0WFrrSmeY8d03vyFOodunIBTZqky3bsmFnelpb+dQZZsL4PUTEZjx+ve61x1y1wOwKwEVThZ8Tjlc8ArI8eC6A8DYCtnrinHOLmddVIveco1jt0oRxsvusc79n6PkTFZKyUOxm7NPIi5jOwxdyOY9vFNgecGQCl1Bil1N+UUuuUUhuVUl+LjdzmCKBQQ3FpAGyMADze4egeiFnGfZPi1T16H6KpR8zuQ1RuRl6kcPRRdplKvB3HtottDrgcAXQBrxaR84DzgWuUUpfEwmxTORRqoBMmaHfMiTJM9xpAMcNz7JieczGF3l79zK4MQJ7nrauD+k1deh+iL/zC7D5Era0wcmT+sFewI2O/nQvTnZojR7Sch5mMAeMuoNh2sc0Bl/kARESOZv4dmfkYnrHLg5jdA32oqDAeuZBKQe13P6ajB84Yk3/iyEbInJ/eobd3vclhutfgh5ELqA9VVXqS2BZvvolJcCtjb7LYFIqFNkO/HOKWseG61Td6HHdQjx7zhVRbgNOcwEqpSmA1cArwMxF5Osc5RnMCA4w+cIBXApv+9jf2Gky+/PI9e2ifP5+NBcr4irFjad20iZcMPMdDD3m5cbUiLJQD9/Rjx5h68CBPGswzOvPJJzkLePqll+jIs9Hc7L17OQN46v776RycRD0kxuzezSXAi/v2sT/P81Q1NHAx8MKTT9I0uHsVAZfs30/L3LkF5XfpuHEc2LiRLQbf9ZmbNzNx1CieLnDPszo7Gb9vH38zyDvnb3/jdOCJjRvp9hKWD0J1UxOnAivvvZeeQoozAMZv3coiYMPu3RzM8zwTtm3jIuD5lSs51NtrhBfgsoMH2X/0KFsLvMcrR45k1/r1bDf0rqur4dnzljK6qYnVt94KQBwpgZ3lBM7+AJOBR4BzCp1nJCewiEhbm867+d3vmrmfh+rq3PlLs3HhhSJvepMRukA5cD/72dy5iqPgZz/ThPv25T/nrrvy5yoOi2ef1ff83//Nf87u3fqcX/zCHK+IyMSJIp/+dOFzTj1V5PrrzfK+6U267hTCjTfmzlUcBd/5jn6Px47lP+ff/12fs327Od5HHtH3fPjh/Ods2qTPWbHCHG86LVJRIfKlLxU+b/ZskSVLzPGKiFx5pcjixWbvmQHDMCdwH0SkBW0AromFcPx47Y6Je/IIjPpLA0UPTJwIR49qv6op+PEPey4gk9tfePfKlRrRgw0XUDqtXVnFerk2fOLF3BKg34eNOp1j3cMQXu9cU/AjYxsuoKNHtZz9yNjGfIuhEZRfuIwCmqGUmpz5eyzwWuClmMj1izZZYXt7deUpJkCDftpA0QNeuUz64lta9H48+dY9ZPOafNfeM+RbqQlaYY0YYZ5XxI0BKBaaCFpZtrebnXD3toEoNPfgSsY2eP10asCdkTcMlyOAOcAjSqn1wDPAgyJyd2zspgXo9Vhi7DkEih6w0Uvz2ysFsyMAP8rBM/ImZexXOdiKxinG6/1u8l37GdW6kvGYMboD4sIA2JhwLycDICLrReQCETlXRM4Rka/HWgDTIwAHPQffG7KBnUZaaJMwD656h2B+qwA/Ya8erwPlkNp4PrXsoGL6FGprDW0l4Gfk4VLGpo18EBmbNPLeLsHlYgCcw7QB8BMuB8aH6XV1UD/2TNKf+af8G7KBveGyXwMQd+/Q47Zh5P3I2KSrzcfcQyoFS/7zchqoRUTR0ICZ/WSCGHnTMlZKZ/4qxu1Kxiaf18+2KhZQvgbAdC/N7wjA64kfPVr4PL/wO/dgawRQjHfMGDu+eD/KwaWMTfrifcw9LF0K7d0Do7qN7CcTxM1nWsbjxxeeewCjo7xUCmo/uFivqXn7hYWNp2kj77duGUb5GgBXLiCv12pKEfude7AxAvDTO7Qx4e5XObiWsSkF4YPX2n4yfmQ8ZozeBNG0jIuN8MCYC6hvR86D4/SOnHtGFh5BTZhgdvFbYgBihmn/cNARgCkD4IrX4/ZTYU0Pl4MohzKRsbX9ZMpExoF35DS9wt3v3INhlK8BML2VbFDlEGPvcMDvcbuAPG4XvUPTLiC/jdSBjJctg6qxA+ty5P1k/LoXvbK5krEB3sAjKFft2DDK2wCY3ErWr3Iw7QLyW3HGjTO7+M1LqFNooY4Hz9iaQlubf16Ti99aW4uvewAnMq6rg+U/7aaG+uIRYX7htQ0/79r0CCCIjA0Y+cAjKFft2DDK2wCAOYXY2qoXH40aVfg8Vy4gpcw2Um8S208vzfQK1SDuATD7rv26Q0zzQlHuug+Ppr7yFNL//KXCEWF+4TfayiubKxkbmHAPvCOnq3ZsGOVrAAxO1KVSUPvLL1LRcbR4/LXLoaNJRRxUObjwD9uYjA1iAOKWsWfkExkHRt+amrFN/nbktCXjYhPuhuF0N1CnMFRxvOiB9nadrNuLv4Y8lcfl0NFkIw2iHFyNAEwbgKC8LmRscpRXajIutD24D9TVQd3yv9OGtNhWnDZkXFk5dBhiGckIIKJyCBw9YCsM1K+f1lXvsLXVXIL24W4ATLsH2tq0cii0IZsHV0belQvoRJGxx1sstNkwXG4GN18p9YhS6oVMSshPx1oAQxUncPTAiBHaypussJWVxScmwW3vsKcHOjvNcQ9n5WCL149ycGXkvbplwsgfPw5dXcNbxqZdQH55DcPlCKAHuElEzgIuAT6hlDorNnZDFjxU/LVpRexXOZjspQXtHYIZ7iDKwVYvrRi8oXzcvOB2BNDbO3Q4bJvXlSIeP15/u5CxQbjcDG6viKzJ/H0EeBGojq0AhnoOofJ5TpjgpuK4GgGYjMYJwuuqdwh2jLxfXlNG3ov08pRdIbiWsQsjP25cYgBMQClVC1wADEkJaQ2mowcqdvqPvza5j4ir3mEQ5WByr5hSMgClLuMwPfFSlrE3ghnuMjYI51FASqnxwF3AZ0RkSM21kRMYABGurKxk58aN7Ih4z+pq2DbqDey57jq2fexjQOEggvPSadTOnaw18CznNjYyQoQ1Pu5Vc+gQCzo7eezBB5GRIyPxzl+3jpOBx597jnSR+YdJW7dyAbB25Upajh2LxDtuxw5eDmxsbORAkWeu6O7mSmD7unU0Rn3Xvb1c1d7OjkOHaPBxr4uA7h07eN6AjC/YvZvesWNZ7+NeC1tamNfSwuMGeBds2MBJFRU89vTTRV2MT/2hil+yg8Yza5g5q5Mbb9w+JC+1X0zcuJELgfU7dtBc5DlGtrRwGbBlzRp219aG4vNQefQoVwBb9+9nl4/3d/GIERzdupUXDLzrRfv20TFvXsF84laQK09kXB9gJHA/8E9+zjeWE9jDlCkin/hE9Pv09OjcpF/9qr/zr7tO5LzzovOKiFxyicjVV/s790c/0uU8eDA679KlOndqOl38XD85fP3iiSf0vf785+LnptMiI0aIfPGL0XlbWjTvLbf4O/9VrxK5/PLovCIiZ58t8ra3+Tv3G9/Q5ezqis77j/8oMmlS0dNWrBCpGt0j2Xmpq6oipOq9/359k5Uri5/b0aHPXbYsJFkWdu7U91q+3N/5ixaJvOEN0XlFdCLvD3zAzL1ygOGWE1gppYD/B7woIv/qpBATJpgZwgVZFQvuho4mh8tBJp9N8gYJe1XKnIyDuCXgxJJxESxdCu1dlQOOhd2KOpWC2rrL9JbMf/fy4vkMRo/WkXXlJGODcDkHcBnwfuDVSqm1mc8bYy2BS+XgYvLIgXKwwpt9Tz/c5ShjE/kmfPKa2op6yJbMe0cVT2rj0si7CuYwCJdRQCtFRIlOCXl+5nNvrIUw1UhLpeI4UA4DeEtZEbuSsbdhoV9eb1I+RiNvaivqwIsqPZjqibuqW11dOry5nAzAsIDL3mF3txZ8FJSAcgB0XKxS5gwPlMYIwARvV5deRDeMR3l6K+qBC8DCbEUdeiRhyti6knFQXoNIDIAr5ZB9XViUgHIA9DbU48aVnwvIhJEP87zZ10Xl9hHmq0OhJfJW1KFHEq5dQFFXPycGwBFcVhyI3msJOvnsygB43KZ4R40qvu22DV7vfn55IbqMXRsAn7x176ugfvzLSH/2ptBbUYdaVAlujby3Mj1OXoNIDEApjwC86/0sxgKzcwBHj/rn9bhL3fB49/MDUzIOsuAOzMs4xnfdt6hy3EF/WzIb4u2D63acGID4kEpB7X98jYrWZmprpHi4WSGErThx9w5dzQFA+RqARMaBUFcH9a/9e9IvO9//SMKkjCsq/O266vGCuZF8kA6VIThfCewC/Xv46/3DGxqL7OFfDKXiHhgzRu9h4ko5xB195PEeOaL9tFG22nWlHFy5gIJsupfN7VLGpnj91hNXRt4gynIEEDrcLB+CKgdXQ0dTMdNhlMP48W4Mz8SJkE5H36UyrHKIW8amjHwYpeRSxp6Rj5vXuy4qLyQGIC6YWrjSh1LqOZjopYXlNaEc/CYLz+YFM400jHKIW8aekS9lGYcZAZg08kF4IRkBlBpMLVzpQylVHBO9tFJTDt51LngTGQdHYuRjQ1kagNDhZvkQtOKMH697aqXaSBMDEC9v9v38cscdYWaK1+MuNxkHCW02iLI0AH3hZrO7dLjZjPZQC1f6ELTiKKUblisXkCul1N6u91yPyl0KymHcOHNGPqhycCnjqK4nkXDhp1DaBsBB7x8cGwCl1O1KqSal1Ia4uevqoP7h7aSppP7H/xte+UM4AZpqpKWiHLyeZJR8AKWkHCoqzBn5MHXLxRzA+PFavul0eN72dn19AN7U306hlh1ULLqA2toim8cVgksjX44GAPh34Bpn7CZn8V0ZABfKIUzcsglFHEI5OO2luZKxiTmAoKvMs8+NUr8CGp5UCpb88EwaqEVE0dBA8R1EC3GXipE3BKcGQEQeB5qdFcDkRF05KYew7oHsa+PiNTlRVyoyjsibSkHtZ9+m9+RfXONfmTqQ8dKl0N5ZOeBY6JDuUpKxIQz7hWDWUkICpNNcBdQ//zz1Ee57WXMzTW1tbAlwj/N6e1G7dkVKC3nOjh2Mqajg2QD3WHj4MPPa2iKlDKxes4ZTgVXr13PcZ+zstPp6XgasfvRRjuzbF4p37K5dvAJ4cdcu9vssf+WxY1wBbFu7lp0RnvnKtjZ2HT7M9gD3uBA43tAQKS3keY2NVKTTPBfgHqe2tTGzuZlVIXgfemgmP/jB6XR1acPZsAtuuKGXF1/cVDTF48ydOzkL+Ntf/kJ7yJC68Zs3swh4vr6eQz7K39i4GBgaft3YKDz66GO+edXx4yzu7mbHgQO+Un56uLiykqPbtkVKC3nh7t30TJjgK+WnceRKExbnB6gFNvg513hKSBGRceNEPvvZaPcYNUrkC18Ido2JtJCvfrXIpZcGu8ZEysBvfUvfo6PD/zWPPqqvefjh8LyrV+t7/M//+L+mt1df8+Uvh+ft6tL3+OY3g11nIi3ky18u8vrXB7vm85/XdTIEampkQGpH71NT4+PiP/1Jn/zMM6G4RaS/nvzlL/bLm42DB/WFP/pRsOtMpIU880yRd74z2j2KgOGWEnLYIOoQrrtbf0pl6GjKTztihE7HF5Q3bheQia2ow8Zpu5SxVy8DItIiSRP7EAV81zqkO3ougpKTsSEkBiCqAEut4phqpEFWPpvkhfjfdanKOISRj7RI0oGR1yHdihrVGCkXQcnJ2BBch4H+FngSOF0ptUspdUPshXClHExkE4oyAjBhAOLmDZIQfjB3ORmACO860iJJRzKuq4P6Wa8gfeOS0LkInMk4aFY/w3A6CSwi73HJD0RXxFEqTmen3lht5Mjw3OVkAEptBBC1boVZ9wCR3rWnPJfeuJ/GzhmcVFPBsmUBtmUOyduHUpNxVN6OjuChzQaRuIAmTIgWIhii4qRSUPuv/6jD7BZWhItZjqocos4BBOU1sWjGlSI2YeTDIMy6B48XQsu4rg7qz38r6atfH6xHbXIdwLhxwa5zaeRj1h8mkRiAmCuOl4ug4fBEhAoadlWGW7ji9RyCJpEw4YsPY3i87S9cKQcXjTRqjzjMYixwJ2PPdxS1PY0fryfvg8CVIp4wQW+NHtbIJwbAMWI2AMZyEbhSSt61YbIXRV2EFlY5uHQPZF9fKrzetUF5vZWxcfNC+cnYEHzNASilFgFXAHOBDmAD8KCIHLZYtngQc8Uxloug1JSDx12qvN59gvJmXx+WN6ixTWQcjte7T1Be7/qpU+PjNYSCXSml1IeVUmuAm4GxwCagCbgceEgp9R9KqbC76A8PeH7anp5w1wcUoLFcBIkBiJfXu09Q3uzr4+aNe57H4y5VGY8cGWxti8frXR8GYd18hlBsBFAFXCYiHbl+VEqdD5wKhM2l5R7ZApwyJfj1ARvpsmVePuL+Y7EuXPFSBpabcvCM/IgQgW9HjoTbr92VAYg6B+D5tMO+63KrW971YXnBSUJ4KDICEJGf5VP+md/XishfzBcrRpgQYADl0JeLYO5xnYtg2tF4F654k7Hlphy860uNN/s+fjF2rPbHu1BKLucAoo7kS0nGhuBrNk0ptUAp9a9Kqf9WSv3R+9guXCxwoBzq6qB+fZvORfCVX8W7cMW7xkWFdakcvOtLjTf7Pn7h5QV2IWPXPfGwHYyQvKnH5+tcBNe8NlwuglKYBAb+B/h/wJ+ACNkehiFcK4ewoWulaABcK4e4ZRw130TUdx1FGUbhdSHjbLfX5Mmx8KZSsOQb82inAoS+XAQQYETv2AXk1wB0isi/WS2JK7hSDp7bKFEO/hE0WXg2L8TeOzRm5MMoh1I18lFlHOWZAxqOpUuhvWOgE8UL6Q5kAMaODTc3ZQB+A6p/rJT6ilLqlUqpC72P1ZLFBVcGwOMuNT9tlKiFCROi5QU20TuMkzeCkU+loPaWT+nV4qeMCO5acCnjsIa2p0f78UtklGckpDuK/jAAv2bnZcD7gVfT7wKSzP+hoZS6BvgxUAncJiLfiXK/UIiwcyIQPnoIohuAsD2HCRPgwIHwvBC+Vwo6b2zQXp5r5RAywUkYGXurxdvbdVx5KNeCyxGAlxc46IK9qLzZ9wiKEIr4pJO0bHIdt8lrEn4l9HfAQhFZLCKvynyiKv9K4GfAG4CzgPcopc6Kcs9QMBHH62oE4HLkEXdP3KVyiFnGRlaLu5ZxmA5ViRmASDunRuA1Cb8GYAMw2TD3xcBWEdkuIt3AHcBbDHMUh4mKE3YCJ0ojjaqUXM0BZN+jFHi962I0AEZcC4mM/SPkxop9Id2Vu8LnIigRF9Bk4CWl1DNAl3dQRK6LwF0N7Mz6fxfwisEnWc0JDCDC4ooKGjdsYEeIe192+DD7W1vZGuLac48fZ0RzM2tCXHtOfT2jlWJ1iGsXNjczr7U1VF5gLx/wynXr6KmvD3RtlLzAVTt2cDGwsbGRAwHLXdHZyZXA9nXraAz6zCIsbmuj8dChUPXjgnSadGMj6wJcO3PmJezfPybH8U4effQpX/c4ta2NGc3NPBGizCetX89C4LHVq5GAi9+i5AWe+MILXAis37GD5oDlHtnczGXA5tWr2ROQt6Kriyt7e9ne1BS4flRXw4aaG+iYO5eN3/gGAEFucdGePXRPmRIpb3QU+DUAX7FaigIQkeXAcoBFixbJVVddZZ5kwgRqpk6lJui9RaCjg3lnnsm8MOWqqYGNGwn1TKNGwezZ4a7961/hd7/jqssuC56LYNUqAC5/wxuCr4zNZBC76LTTIGi5x2iFePYllwS/VgQqKlg4YwYLg16b2XW15pxzgtcPgHnz4PDhQHK65Zbcq8VvuWWM//vcey/cf3+4+nHffTByJItf97rg12ZGHRefdRYsWhTs2syOmudedhlcfnmwazMv67Q5czgt6DM36WT3C887L3j9AJg9m/GjR4d710pBbW24aw2goAFQSqlMTuHHip0Tgns3MD/r/3mZY/EjrCums1NHtLjyxc+cGZ7Xu0fQDawCrnzOyxsUUdwDURZGRV2oM2FC4J3++pKyfGg3jT1zgiVlyeb1Vm0HNfJRXV7ePYIiyruOsvrZhIwPh9wXM4oL2QCKzQE8opT61OAN35RSo5RSr1ZK/QfwwZDczwCnZlYZjwKuB9ysLg6rHKJu5BRlD/OwKxdTUPuNG3R44bkTw61cDPu8riYIvetKSMZ1dVA/4+WkbwiZ5jDK2gcTMi4lI29Cxi7mlwygmAvoGuAjwG+VUguAFvSuoBXAA8CPROS5MMQi0qOU+iRwPzoM9HYR2RjmXpERtXcYZRL46FHtogiSYB1CTVr1hxfq6xp2V4RbuVhqvUPvOlcydqEcshVx0DDlcpVxFN4wHbmwWf0MoqABEJFO4OfAz5VSI4HpQIeItJggF5F7gXtN3CsSXFacdFr7L4NmuQrRSAuFF/o2AFGjj6D8lEMYI59O63h6V+/apYzDrAT2uEvJyB87putFCYSBIiLHRWSvKeU/rOBSOWTfxy9C9hyMrVwM21Ci5AX2eliulIMJIx8E7e3RlEMURezKyLe1hduTP5vbtZGPk9cAkpSQ4M53GLaxeD2HgIrYSDKaKL3DKFtRHzlSusoh+z5BeaP0SsPweteEfd4oRj6qP7zUjLzjZDCQGACNUlUOpbhyMcq7dsHrysi7qlveNWENT1QjX44yHsZRQADk2qJBKXWV6cI4g0vfYfZ9gvKGXbk4r1cno5nSFv/KxVIzACUm48i83jWJjIPxZt8nKG8JjAD+Syn1BaUxVin1E+DbNgsWKyZM0PHSXV3Fz82Gq0YaocdSVwf1W47rZDSf+2m4TGTlqBxKSMaReEXKU8Zh17Z4vN59gvJmX+8Afg3AK9CLtp5Ax+/vAS6zVajYUWq9tKi8o0frXUTLTTmENfKjRwdfTJXN690nKG/29XHxRl3c6HG7kPH48fGve4CyMADHgQ70GoAxwA4ROXEyg0XppUVRDl5ES9AY4qhD1rCLZkpdOUBwBRE1TjuqjMNyjxkTzsibUEoujXx3t/7EyRtWxiU0CfwM2gC8HLgCvXXz762VKm54AgiqHKJMlmXzlkojLXXl4N3HJ1IpqP2Pr1FxcH+4fK8heQecH9XIx214vGtLRMZAdCNfwpPAfjeDu0FEns38vRd4i1Lq/ZbKFD/CLl+PWmG9xV+loojLSDn0r5qeDoRMyhKCtw+JjMPxeveZNi0Yr8uO3HCPAspS/tnHfm2+OI4QRYBRKmxFRbiQORNDxzCN1OON2lhcKwcfMJKUBcIbeVfv2lXdMjW/BPG34yi8VVVQWRmeOyKSdQDgruJ43C56Di57h52dOsWjXzhQDkZWTUN4I29COZTSCMCbXwq70tvjhdIayTv0/4MjA6CU+jul1EalVFopFXDTcAtw5Tv0uMtNOWTfyw86OmJXDkZWTWdzl1vnIqiR9+YqSnEOIIqRL0cDgE4x+XbgcUf8AxGl5xDVfxe2kbri9a6Nwpt9r2HKa2TVdDZ3IuPhyeud7+JdO94JFBwZABF5UUQ2ueDOiVJ0AbnsHcY9THegHPpWTavG8Ples7kTGfvjjdsAmHAvetwuDE9E+I0CcgbrOYEzuHLECHZt3Mj2APePkg/Ywznd3YxuagqU2/echobQ+YA9LGhu5qS2Nh575BHf2xTPW7OGU8jkA962LRTvk/89hv/LDhrPqWHmrE5uvHE7V1/dVPCa8Vu2sAjY0NDAwZDPrLq7WQxsX7/ed97X6rnCDnU1je99DztuvBEIlu/Vw3m9vahdu1gb4OLzdu1CpdOBrhmMU9ramHX4MKsC3KNm3ToWAI+tWYOEdDHOaGzkbDJ5gRcs8HXNpHXruABYu20bLSGfeWRrK5cBW9asYbdP3r58wAcOBM8XnYWLgO76+kC5fV3nAwZARKx8gIfQrp7Bn7dknfMosMjvPS+66CKxhqlTRT7+cf/np9MilZUi//zP0Xjr6kQWLgx2zVVXiVxxRTTeb31LBETa2/1f87Wv6WuOHw9FuWKFSNXoHtHdLv2pqtLHC+Kxx/TJDz0UircPI0eKfOEL/s9vb9e83/52NN7rrhM577xg11x0kcgb3xiN9+abdR1Np/1f87nPiYwZE4333nv1e3vySf/X3H23vubpp8Pzdnbqe3zzm/6v2b9fX/OTn4TnFRF51atELr882DWnnSby7ndH4/UJ4FnJoVOtuYBE5GoROSfH539tcUZC0CFcV1f0VbFheMHckNW7VxDesWP1CtMQWLoU2rsG9ip9hVaacA941wd5XlMrNV3KuLdXT8gG4Y3i/vF4vXsF4c2+Ngy8VfnlJOOISMJAPQQVoKlFHKVkANraIimH0KGVrgxAucrYVeci+9oo3OUk44hwFQb6NqXULuCVwD1KqftdlGMAwlYcExU2aMicqagF715BeCM8b+jQStfKoVQnCB3IOBJv9rVRuEuB10v56XgS2FUU0B9EZJ6IjBaRWSLyehflGACXFSf7fn5gav1BUN6IykGHVg5Mm+crtPJEUA5BjHzUfMDZvFBaBiDunriruhU15achJC4gDy79w+CfO2Q+4Mi83rkRXEB9oZU0BAutPBGUQ/b9isGUcnDg5ovEO25c9G0RSsXIm+KNiMQAeHDpO8y+XzF4+YBL1D9cV6eon3IB6U/+I/X1PuPq29r0e45bOZjYj8fjBf/cLkeXJkYAYfJNmJh8htLpyCUGYJihVHqHpa4cPO64e6VheBMZh0OYfBOuZVyqRj4iEgPgwas4IsXPhfJVDjE30lQKan/zLSr27Ay/J7+HoBmjEhlH4447+ghKR8bDIBkMlMBK4NgwfryefOvs1LHuxWCq4gTNJuTKLQHmGqlP5dC/J/8MIMKe/IN5Rfytfi43Gff06PkHF6M8V4bnyJFo+YA9BJWxqZFHRCQjAA9hLXipDh1HjNBpA4Moh46OWJWDsT35s3mDLIyKmvIzmxeG/wjAZK/UtQvI70je1IZsiQuoxBFGgCZ6Di4rTpBG6kA5GNuTP5sXgr1rEz20UjHy3nmuXECmeIMY+VKXcUQkBsBDGAGWes8hSCP1hrYxKgeje/J7vJDIOB9M7MkfhtfjdvWuS13GEZAYAA+uKk7Q/UtcKQcHvEb35Pd4obyUgysZB0mQ4m3JbKpzAaUj42QOYJjAVcXxuOOeewjKa0M5FPHT6oVjEnzhWD6UipH3ZOylGowCl0bebzROVxccP15eBuDoUS3fCrcq2NVeQN9XSr2klFqvlPqDUmqyi3IMQBgBujAAJnsOYXhNNdKeHujuLnpq3ds7qaeW9Le/63/hWB6knqillh1ULL7cX0ipSxmbShbuUsauXE8QfzsOM5J33PsHdyOAB4FzRORcYDNws6Ny9MPVBKHHPdyVg6tGakgppVKw5Dsn00AtIqovpLSgEXApYxeGx7SMjx/XvftiMG14su/ph7vUZRwBrjaDe0BEvE0zngLmuSjHAJSKC8glr3eNCd7sexaCocnnpUuhvXNgdS8aUprIOBpv9j0LwXSAgV9e77xSl3EEDIc5gI8Af3ZdCKcVZ+LEYAtIylE5ROQNFVJarjKOWxG7MgCm8gF7cCXjCLC2Elgp9RAwO8dPS72sYEqppUAPkHcgHldOYIArRo1i9wsv+MoLfHlzM/uOHImUD9jDWZ2djNu/n2d83Ouc+vrI+YA91B46RO3Rozz68MNFJ6NOWreOhWRyxUZc+zBl+3bOA9Y89hhtzc0Fz528di3nA2u3bw+dKxZg5sxL2L9/TI7jnTz66FNDLxBhcVsbDS0t1Bt41+ceP86I5mbW+LjX+Tt3gkikfMAeTm5tZU5LCyt93Gvhhg3MGzGCx598MjLv9IYGzgGeefhhjp18csFzpz3xBC8DVm/ezBGf+anzYcSRI1wObH3uOXYVeeaKjg6u7O1l26FD7DTwri9Ip0k3NrLOx70u2rOH7mnT3OYDBns5gYt9gA8BTwJVfq+xmhNYRGTGDJF/+Ifi5/X2iigl8i//Yob3wx8WmTfP37lXXimyeLEZ3u99T+dDbWsrfu4XviAyapQZ3iee0Lx//nPxc//4R33us89GolyxQucf9p2P+MgRfdL3vx+Jtw/vfKfImWf6O/eCC0SuvdYM77/8i36O3t7i53784zo3tgncf7/mXbmy+LmplD5306bovMeP63t97WvFz92zR5/7i19E5xURef3rRS6+2N+5p5wi8p73mOH1AeLOCVwISqlrgM8D14lIe7HzY4Pf4fLRo1qHTJoULy/oIaZJXvA/GWvSLeGX15B7oC8XQcVOfyGlra1GePsQRMatreZlfOxY8XNLXMZAsNXPJ4qMI8DVHMBPgQnAg0qptUqpXzoqx0D4FaDJCpvN62f/ktZWs7zg3wC44DUYmVJXB/W1V5F+7/uKh5R6vK6MfCLjaNxBeEu9IxcBrqKAThGR+SJyfubzURflGAK/AvR6DiYrTjqtN1vzwx3zCCCVgto7f0DFjq3Rt2QOwAvYM7bFYKt3WMzIiziRMWBuO4YwvBUVQ5d9R+EeziOAri79McUbAcMhCmj4wGXPAYpzi8TuAvK2ZG7omIlQ4S9+vhiCbJ175Ihe8+Bni24/cCljP0a+s1PHz5e6my+ojCdO9LdFtx+4HgEUM/KmO5ARkBiAbPhNJmGj5wDFK21Hh15Ba4rXRyM1viUzaD9tVRW0tBQ/13OHmFIOfveocSVj0yOeMIrYJK/3HgvBpMsLgrfjuI28aRlHQGIAsjHcRwCmK6x3nwKN1PiWzB4mT/avHEzGS/vdo6aMZNwHk++6slIrYlcyduVezL5vPiQjgGEKl75DKF5xTCslH8rB+JbM2dx+lIPJXim4k7HfnrhLA2A6MmXSJH+jvBNNxnEb+QhIDEA2Jk3SwuvtLXyeaUUctOKYqrBe+Qs0UuNbMmdzu3APTJzonxfinxQ13SudPFl/F1PEPT06VNQ73xT3cJfxuHFm9tUCdzKOgMQAZMNTiH4UsVJmtusFd+6BUaP05GqBxlJXB8t/3kMN9Wa2ZPYQxACYdA9MnqwVXU9P4fNaWzWvqe16XcnYry/eRq/UpYxdjHhcyTgCEgOQDb+9Ja/HErdyMD3y8O5VpLHUvfEw9Swg/ZOfRd6SOQgvYL536MnYj7vN4HtOPTpXb0X95jcVDqU1rRxGjNAdFb8GwOQIwKWMOzqKbzdumjcxACUOr/L7aSwuK47pxlLseT2D6EI5mPYP+3B7AUZlnErBkq/M0VtRU2QrahvuAT/v2nsfLkYAtmTspx27GAEkLqBhCr/KwfQqPm8/chc9Bz8Tda7dAzZGADHKeOlSaO/wuRW1LSPvV8ZxG/l02rwB8CtjBx25VApqv/8JKuil9tSR0RdVRkRiALLhagRQUaGH6X57Dib9pUF6h6aVQ7Fhem+v+W1zHcg4UCitNzE5wuBGvcN5BODtq+VCxqY7ckUMQN+iyrYp5hZVRkRiALLhagQA/kLXWlv1aMFU1AL4a6S2RgDZ984Fz+BNmWKe10/v0NDzBgqlNd25gGAyNm3ku7r06uZ88OTgSsamF6BB3nZsZVFlRLjaDfQbmXzAa5VSDyil5rooxxC4GjqCfwNg2vC4mgPw00tzxQtGXU+BQmltybhYnbYxAvDzrg8f1t8mDYADNx/QP5LPE2BgbVFlBLgaAXxfRM4VkfOBu4EvOyrHQLiaPAJtAPxEptjoHbqaA8i+dy64VA4GZdy3FfWI3SjShUNpbcnY7wgg7slYV0a+t1e7n0y344kT83bkrC2qjABXu4Fma7pxgI99kGPAyJH+9qix1UgLGIBUCmrv/ikVL24wsyNnNm9nZ2FfvLfuwfTcg3fvfLChHDy5FZJxT48emxuUcV0d1J//VtJvuLZwKK2NzoVnAAptUua5F03PPXj3zgdXLiCT6S+zUSAtpLVFlRFgLSVkMSillgEfAFqBVxU4L7aUkACvrKqi+aWX2JSHR/X0sLijgx3NzTQYLMvZPT1U7dqVMy3kQw/N5Ac/OJ2urlkANDTADTf08uKLm7j66qZIvNUHDnAqsOreezmeR9GesmEDs6uqWPn445G4sjF+61YWARtWreJgnvUU0//6V51WcOtWjvnJleATl1dVsXfjRrblkd+ItjYuB7Y0NbHboIzPFaGyoYHnCtzz5Xv3cmz0aF4wyHvSoUMs7O7m8QceID16dM5zTn/xRaaMHctTBnknbd/OBcC6xx/ncJ6ENLOffJIzgKdeeolOP1FhfpBOs1gpGtaty5vOc/S+fbwSeGnvXvYZfOYLKyro2b6d9TnuWV0Nn/3sTP7z2xPYla5m5qxubrxxO9XVTTjLDJkrTZiJD/AQsCHH5y2DzrsZ+Jqfe1pPCSkictZZIu94R/7fDx7UaeR+/GOzvDfcIDJ3bs6famoGpjL0PjU1Bnj/8z/1zbZsyX/OBz8octJJBsiysH275v3Vr/Kfc9tt+pyGBrPc8+eLfOhD+X/fsUPz3n67Wd53vUvk9NMLn1NdLfKRj5jl/dnP9PPs3Zv/nLe/XeTss83yrlunee+8M/85P/yhPqe52Sz35Mkin/pU/t/Xr9e8v/+9Wd5rrhFZtKjwORMninz602Z5i4A8KSGtjQBE5Gqfp6aAe4Gv2CpLIBTzidvwS3v38+49CFYnj/wO0026Yfzy2nrXxXziDmTcB1suIO/es2fnPseljJWy88wu2vHUqbBlS/7fvXUPw2AVMLiLAjo169+3AC+5KEdOFIuKsakcOjpyhsxZnTzy4y+1oZT8+OJbWvq3FTaJYlExtg1APnfW8eN6YtKFIrZpeIrJ2OS2Kh5cyzgfvLkY0zIOCVdRQN9RSm1QSq0HXgd82lE5hsJlxcm+fxb05NFApWFs8shvOKbpCutnj5rDhzWvqWQwHlyO8o4fz5+g3SvT1Klmef1EPrW02Ilsg+IyNv2eofgor7lZf9uQcUuL7unngle3TMs4JFxFAb1DRM4RHQr6ZhHZ7aIcOeHSPZB9/yzU1cHy77WY35ET3PUOofhoy4bh8cNrUzlA/h6ipbqVWnmS3ojumtfmjyBrbTX/risri2/NbFPGrox8Op0/os8Wb0gkK4EHw6s4+YbptpSD1yPIoxzqrtqjd+S847/M7cgJ7uYAPO5ijfREUw7Z9x8MC3UrlYIlX5+nN6KTPBvRidgZAYC/DpUrGStlPgzUr4zLeQQwrDFpkh6m51u+7ko52Bo6FvPFi9gbAUydWthf2tJi1z2Qz8gfPtzvojKJIkbehox9bUTn5Zq2oYinTu1XerlgW8Y5kEpB7Y8+Q4X0ULuwwuxePH5lnIwAhimK+UsPH4YxY/THJBz0DgE9TJ80KX8jPXpUD2ltGYBiysFW77C3N78v3vNLm557cCBjXxFkNraB8OBSxm1tQ3zxfRuyHZ1mZ0M2V+04JBIDMBh+DICN4ZtXIfI1FpuTR9Om5ee1OWQtphxsTRCWkYx9RZCdqDIWGeKLt74hm18ZJwZgmMKPK8amUnIxdJw6FQ4dyv2bd3zaNPO806bl5wV7vUM/jdTGe/br5jP4zL62H7Ap40J1y4uIsjUCgCHv2vqGbH5kPGaMTsU6DJAYgMHwGsHBg7l/t6UcvIiJQkNHGwtmoPAIwLZyaG/PPd/S2ak/Nt619yz5FJMtGXs5hgvJePx4vSeVIfRtRDd6X/6N6DzZ2zLyzc2551ts7APkYfp0/T1IxtY3ZPPjAhomvX9IDMBQ5Kk4kJk8WrmCipWPmd2QzUOhSVEvWsL0ghko3BO3bQAg9zPb2AjOQzEDYKuRVlQUXihkyfVUVwf1r1tC+rwLc0eQ2ZZxvrUPcch4UEfO+oZsVVUwalTsMg6LxAAMRh7l0Dd5dHyuvWw+hZSDzZ5DoWG6bf8w5Oa24A7pQwEj38dt6127lLGrUV42RzYcyFiPiIQaGsyvqQE9Sncl4xBIDMBgeEPwQT2HWLL5TJkSv18adMNvadGRMYPhNSBbk8+Q+5ltRksUcvOl0/ZCE6G4jG31DouN8kaPtuOXdi3jHM9c95Zj1FNL+rvfN7umxoMrGYdAYgAGQyndexhUcWLJ5uPAPQD0N5Zc3IcOad/1qFHmeb3nydVYPOU8Y4Z53tGjdYx/LoXorQ+w9a6Lydimkc8333LokP7ddNgrFJbxgQP624aMvTDeXDK2vRjLlYxDIDEAuZCjtxRLNp9CFefQIXsVttAw3VMOcfPaVA6Q08jHwutaxrkUsUUZp55coLeheO2rh86b2TTylZX6Xeca5Z2oMg4BpwZAKXWTUkqUUtNdlmMIpk3LPXk0ZuCiEuPZfDw/ba6IiQMHYOZMg2RZKDRMt2kACvHabqQ5ZAxAU5Nd3ny++HT6hJNxKgVLvladfxuKAwf0imtbO2Pmc3t5Mrb1rvPJuL1dT4bb4g0BZwZAKTUfvROow5TIeZCjd1hXB8s/s1FvyKYsTB6Brhjd3UM3kuru1n5p28oh7hHAuHF6viWfARg3zl68dLERgK13PXOmft6enoHHvTkYFzJubrYi40LbUKRSUPuTf6Kip4vaBcp8RB24G+XNnNlvZHLxJgYAgB8Cn2e45APORp6eQ925G/SGbBtfsjN55FWMwZXHdoV15B5Aqfw98QMH7D0v5O8dxqEcRIY+cxy9UojVyOebH/NGAg1Hp9uLqAO3MvZ6+9mwLeMQcJITWCn1FmC3iKxTRSae4s4JDLDg6FHmHzzI4488MmBirPqJJ3T+3M2bOb5/v3HeKfv2cR6w5r77aNvdv0P2+C1bdP7cpiYOWnj+yqNHuQLY+tRT7Bo0qXHZ/v3s7+xkq6X3vmjcODpfeIENg+5/7qZNjBgzhjWWeE/p7GTWvn2sGnT/k/72NxYCj73wArJ1q3HeGQcOcDbwzD33cOzkk/uOT1q3TufP3bOHwxaeefSBA7wS2LRqFXuzfdAiXHnwIDuPHmWHYd6ZMy9h//6he2ZVVKRpbx86Mrjppk6qq58yxn/G8eNM3r17SJ7jhatXM2/ECB5fs8bKxPfs5mad5/iPf6Rzzpy+41OffJJzgdWNjRxxlgR4EHLliTTxoUBOYOBpYFLmvHpgup97xpITWETkllt0vtCWloHHv/QlkYoKkd5eO7zPPad577pr4PH77tPHV660w5tOi4wZI/J//s/A411dmverX7XDKyLyuteJXHzx0OMXXijyxjfa4/3qV/WzHT8+8PinP61zttrC449r3gceGHj897/Xx9ets8PryfLrXx94/PBhffyWW4xTrlghUlU1MI/14P+zP0oZLsBNN2nCwfjwh3XuZVu45x79QE8+OfD47bfr49u32+POA/LkBLbmAhKRq0UnfRnwAbYDC4B1Sql6YB6wRimVJ1lp/EhtebmOXJgycWDkQlOT9ivaWI0LxV1AtoaOSulcsfv2DTzujXKyejHGMWvWUF6w7wLy7p3LFWOTN5+MbbsHRo3SLpHB73rvXv1tQcZ921CMbRqwDUVNTe7zjUbUgZZjLleM7brlSsYhELsLSESeB/reQMYILBKRPJvvxItUCpb86lLaqQTp91cC1MWllFxUnFwGwPs/XyJxU7z79+tOYPZw/OBBu+/aU3h79w58PlfKwTPy0y0GxOWSsUUDANoI1K38Ctx5J9Qf6Du+ZInQ3t4vb+MRdTBQxqec0n/cpYyrqsznmYiAZB3AICxdCu1dlQOO9a34tV1xRo7Uk3WD5xeamnQPznT2omzMnt2vDDxYVg6AHgF0dQ1M3nHsmE5SEpcByIZtGU+erOWcS8bTpumwSFtwaeQPHtR7ApEZGXy/1U6K02y4krFnAHLJeBj1/mEYGAARqR0uvX8osuLXZpy2h1whZF7FsbFS00Mh5WDTAHiKJ7ux2I7FB5g7V3/v2TPwuG0ZK1VYxjbh0shD/ygHqLu8UUfU/deddiLqgNSaM7Qrd/HlA125tmU8ZozurOWSsc06HQLODcBwQ8EVv/v3uzMAtivOoF4a0K8cbD6zpxyyDYCnlD0lbQOe4clWiOl0PIrYpYz37Ru40HDv3n6FZZMXYpWxXoSWIxfyr7rgyBG3HblhhMQADELe7WK/3KkX68ybZ7cAs2YNHToO9lPbgHf/7Eq7d6/2SdvYB8iDZwCyRx9eCGx1tT1eb1I0ewTQ1KQXaJ3IMu7o0AqQzGKsX3yBis5j9hZjgRMZ60VoA0fM7e2w9EsZlXeiyjggEgMwCHkTaFzWoE+wqZRA94h27x7YS9u1C+bPt8vrVczsRrpvX3yGJ7uxeMrB5gjAu3/2CGDXLv0dh4yzDY8I7NwZq4z7tjdvn2F3MVY2b4wyzuvK3ZuZY7FtAObMGSjj7m79/LZlHBCJAciBujqov/aTpM84u98/6VVY2xVn/nydiN2bFO3q0j1T27y5XCJ799r1DUP/xGd2Y9m9W7slbO+aOLiRegYgDhnv3auVAugV2J2d8cl43754tjcfzDtYxjNmWBtd5nXlTs2EhNo28iedpK2Q15Hbs0f/bVvGAZEYgHyYMyd379CyAFMNl+mJq6mT9MTVz1v0D7Z7Dl6D8J4T4jEAFRW6sTQ09B/bs0eXx+akNwyVcVxG/qSTtDLw+Hbu1N9xyXjnzni2N/cwdqz2feeSsSXkdeW+5i/6nzgMQEdH/1YUcck4IBIDkA/V1boXnvGXxuEeSKVgya0vHzhxdfN0UrzHvlKaO1f3xnbs0P93d2sFVVtrlxc0R319//+NjfH0lKqrtQHwNmbbtUuHaNqejPW6p562jWvk4clyx454tjfPRk1NrDLuc+VOaNau3JNEu3JnPKhDcW3H4ruScUAkBiAfvH1atm3T39u3616Mrd0pyUxcdQ5ag9BVyVK+Zb/iVFToRrp9u/6/oUFHxSxcaJcXhiqHbdv6379NnHyy3oHTa6Tbt+uGa2ultwevF+jxet+2e4djx2p3zI4dme3NB2aAs7IYy0O2kReJRcZ1dVD/jV+TppL6Zw9qV+727bBggVVegNSG8/RIftEFeiT/vxmDkxiAEoG3ctAzAFu2wKmnWqXMOyznpHgU8YIF/SMAzxDEwVtbq3viXV16/mPfvoErN23B4/A2fYtBxoA2MkrB9u06EueL11NBL7WvnGMvEsfDggWwfbvuIS951u725tmore33ie/frxf7uZDx5s3WZZxKwZJvLxg4kr/z9aQmftRuuG0IJAYgH7zeSXbFOe00q5R5h+Uj9toNxfSQUQ59PTSIrycO+l3HyZutHERikTGge+ILFpC6b6qOxDkyVUfiNCp7kTgePBkDdXMf1YuxWo5YW4zVh4UL9UT3zp39bSpuGR8/rkchlg1AzhDU3tEs7fqKVd4wSAxAPkycqF0+mzfreYB9+6xXnJwTV6qDZef8xiqvh1T7W6k9vIaKSt0rTY36UDxxy+eco7+ff173wiGe3uGcOfqFb96s5XvsWDwjAIAzz2Tp6nfEF4nj4ayzdE+8tRVefFHHq8fRK33Zy/R33DJesEC79DZv1qPb3l53I/muWVZ5wyAxAIVw/vmwejWsW6f/P+ssq3R9E1eTWvTE1bxelld+lLrXmM89MBipFCz5r9f2D1uPTGVJzy9I/TaGKnLGGToUdP16ePZZPRFr+V0D2g1z3nmk/jyF2vMnazfMN26w74YBOPNMGo/nNq5WInE8XHCB/l63Ttftiy6ySJYFz8h7Mp4wIR734qhRcOaZ+lnXrtXHzj7bKmXekfyUI1Z5w8CJAVBKfVUptVsptTbzeaOLchTFK16heywPPKD/v/RS65R1dVD/myf0xNWSb1HX85/wylda5825CV56jN3eqIfRo0nN/idqf/hpKr77LWpVA6m7hiYSsYHUxI+yZPPnaGgaq90wTWPtu2EAFi3ipDzZUK1F4oDu1ACsWgUvvBCfAZg0SU/2r14NTz8NixbpxO1x4BWv0JyrVmn323nnWaXLOZLnGMs+bb8jFxi5kgTY/gBfBT4X9LrYEsJ4uPtuncChslLk1FPj4z1yRGTkyP5MGU1N1imViilJRw6sWCFSNaJrSOKQFSvsc9dMP5rzuWtqLBM3NckK3iNVHI33udNp/XCjRmnCu++2SDYIN97Y/6A33xwf7623as4RI0QWL46FcsUKkZrq46LolRp2yIqRHxLp7o6FOxeIOyHMCYFXv1r3XHp74e1vj493/Hh4zWv035deGssOgrHHhWdh6VJo7xk4yW3dF55B46Gq3MdtumEAZsyg7rJGlvP31IzZj1LYj8QB7fZ697v1Oo8pU3Qdjwvvelf/3+98Z3y8b36z/u7pgbe9LRbKujqo3zWC9LkXUM8C6t5yVLs2hxmUZO85ExepUl8FPgS0Ac8CN4nI4TznZucEvuiOO+6IqZQak9euZerTT9PwvvfRG2MihzF79jD/d79j9zveQXsMWvihh2bygx+cTleWG2j06F4+97lNXH11U4Ero+PVr16MyNBVv0oJDz/8mFXu66/Pnbd21qxO7rjDXH7aXKhqbKT6rrvY+e5302l736MsVB49yoJf/YqDl11Gy4UXxsaLCPPuuoveMWPYe+218fEC01euZPyWLTS8731IjIp43NatzP3Tn2h83/vocrgV9Kte9arVIrJo8HFrBkAp9RCQa5ZrKfAUcBAQ4BvAHBH5SLF7Llq0SJ599lmj5UzQj1RK97obG3XPf9kyy73RDGprB+4S4GHw+jAb8DZFy47GqaqKoSeeIEGMUErlNADW0g+JyNV+zlNK3QrcbascCfyjrs6N0lu2LLcStrYqNQve87owfAkSuEbsOYEBlFJzRMTbhettwAYX5UgwPOBaCbsyfAkSuIYTAwB8Tyl1PtoFVA/8g6NyJBgmSJRwggTxw4kBEJH3u+BNkCBBggT9SMJAEyRIkKBMkRiABAkSJChTJAYgQYIECcoUiQFIkCBBgjKFk5XAYaGUOgDkWDLkC9PRi8+GG5JyBUNSrmBIyhUMw7VcEK1sNSIyZClySRmAKFBKPZtrJZxrJOUKhqRcwZCUKxiGa7nATtkSF1CCBAkSlCkSA5AgQYIEZYpyMgDLXRcgD5JyBUNSrmBIyhUMw7VcYKFsZTMHkCBBggQJBqKcRgAJEiRIkCALiQFIkCBBgjLFCWcAlFLXKKU2KaW2KqW+mOP30Uqp32V+f1opVRtDmeYrpR5RSr2glNqolPp0jnOuUkq1KqXWZj5ftl2uDG+9Uur5DOeQbDtK498y72u9Usp6Ciml1OlZ72GtUqpNKfWZQefE8r6UUrcrpZqUUhuyjk1VSj2olNqS+Z6S59oPZs7ZopT6YAzl+r5S6qWMnP6glJqc59qCMrdQrq8qpXZnyeqNea4t2HYtlOt3WWWqV0qtzXOtzfeVUzfEVsdyJQou1Q9QCWwDFgKjgHXAWYPO+Tjwy8zf1wO/i6Fcc4ALM39PADbnKNdVwN0O3lk9ML3A728E/gwo4BLgaQcy3YdeyBL7+wKuBC4ENmQd+x7wxczfXwS+m+O6qcD2zPeUzN9TLJfrdcCIzN/fzVUuPzK3UK6vAp/zIeeCbdd0uQb9fgvwZQfvK6duiKuOnWgjgIuBrSKyXUS6gTuAtww65y3Af2T+vhN4jVJqaEJagxCRvSKyJvP3EeBFoNomp0G8BfhP0XgKmKyUmhMj/2uAbSISdgV4JIjI40DzoMPZdeg/gLfmuPT1wIMi0iw63/WDwDU2yyUiD4hIT+bfp4B5pviilMsn/LRdK+XKtP93Ab81xecXBXRDLHXsRDMA1cDOrP93MVTR9p2TaSytwLRYSgdkXE4XAE/n+PmVSql1Sqk/K6XOjqlIAjyglFqtlFqS43c/79Qmrid/w3TxvgBmSX9Gu33ArBznuH5vH0GP3HKhmMxt4JMZ19TtedwZLt/XFcB+EdmS5/dY3tcg3RBLHTvRDMCwhlJqPHAX8BkRaRv08xq0m+M84CfA/8RUrMtF5ELgDcAnlFJXxsRbFEqpUcB1wO9z/OzqfQ2A6LH4sIqlVkotBXqAVJ5T4pb5L4CTgfOBvWh3y3DCeyjc+7f+vgrpBpt17EQzALuB+Vn/z8scy3mOUmoEMAk4ZLtgSqmRaAGnROS/B/8uIm0icjTz973ASKXUdNvlEpHdme8m4A/ooXg2/LxTW3gDsEZE9g/+wdX7ymC/5wbLfDflOMfJe1NKfQi4FqjLKI4h8CFzoxCR/SLSKyJp4NY8fK7e1wjg7cDv8p1j+33l0Q2x1LETzQA8A5yqlFqQ6T1eD/xx0Dl/BLzZ8ncCD+drKKaQ8TH+P+BFEfnXPOfM9uYilFIXo2Vj1TAppcYppSZ4f6MnETcMOu2PwAeUxiVAa9bQ1Dby9sxcvK8sZNehDwL/m+Oc+4HXKaWmZFwer8scswal1DXA54HrRKQ9zzl+ZG66XNlzRm/Lw+en7drA1cBLIrIr14+231cB3RBPHbMxs+3yg45a2YyOKFiaOfZ1dKMAGIN2KWwF/gYsjKFMl6OHcOuBtZnPG4GPAh/NnPNJYCM6+uEp4NIYyrUww7cuw+29r+xyKeBnmff5PLAoJjmOQyv0SVnHYn9faAO0FziO9rHegJ4z+guwBXgImJo5dxFwW9a1H8nUs63Ah2Mo11a0T9irY16021zg3kIyt1yuX2fqznq0YpszuFyZ/4e0XZvlyhz/d69OZZ0b5/vKpxtiqWPJVhAJEiRIUKY40VxACRIkSJDAJxIDkCBBggRlisQAJEiQIEGZIjEACRIkSFCmSAxAggQJEpQpEgOQIEEBKKUmK6U+XuD3sUqpx5RSlQXOeSjfbo4JErhEYgASJCiMyegdZPPhI8B/i0hvgXN+XeQeCRI4QWIAEiQojO8AJ2f2gv9+jt/ryKzSVErNUUo9njl3g1Lqisw5f0Svak6QYFghWQiWIEEBZHZovFtEzsnx2yigUURmZ/6/CRgjIssyLqEq0Vv8opTaAlwiInFtV5EgQVGMcF2ABAlKGNOBlqz/nwFuz2zu9T8isjbrtyb0FgOJAUgwbJC4gBIkCI8O9N5SQF/SkSvROzL+u1LqA1nnjsmcnyDBsEFiABIkKIwj6FR9QyA6C1OlUmoMgFKqBp1Y5FbgNnQKQm/Hx9no1IIJEgwbJAYgQYICyPjsV2UmdXNNAj+A3tERdJ7idUqp54B3Az/OHL8IeEr60zUmSDAskEwCJ0gQAUqpC4HPisj7C5zzY+CPIvKX+EqWIEFxJCOABAkiQHRC70cKLQQDNiTKP8FwRDICSJAgQYIyRTICSJAgQYIyRWIAEiRIkKBMkRiABAkSJChTJAYgQYIECcoUiQFIkCBBgjLF/wfOlRxGoTbzOQAAAABJRU5ErkJggg==
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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="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="prompt input_prompt">In&nbsp;[16]:</div>
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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="prompt input_prompt">In&nbsp;[17]:</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&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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
"
>
</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>...and here are the three in one graph:</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[19]:</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">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">0.05</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">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>
</pre></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>
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a2mpu8/Ij7csajMcsizf61oWkkAN6Yvs1KbO7d+/R/P/rVetcsEEBGrJL0CmBsRP+5CTGa5dMklOz8DAM/+td7WykzgdwHrSEYAIWmeJNftt9Lx7F8rmlaGgf4NyQLuz0GyUAzJUpFmpeHFX6yIWnkG8HJE/EJS7baurw1slhUP/7SiaqUFsEHSKcBUSQdL+gxwd4fjMssND/+0omolAZwD/DfgJeBLwBbg3A7GZJYrHv5pRdXKKKCtwPL0ZVY6Hv5pRdXKKKBBSTdKWivpweqrG8GZ5YEXf7GiauUhcAX4C2A9fvhrJVR90Lt8edLtM3ducvP3A2Drda0kgJGI8Lh/KzUv/mJF1EoC+GtJnwduJ3kQDEBEuDyEmVkPa2UU0BnAPGAByToA7wKO72BMZrng2v9WdK20AH4vIl7X8UjMcsSTv6wMWmkB3C3pkI5HYpYjnvxlZdBKC+BIYJ2kJ0ieAQiIiDiso5GZZciTv6wMWkkACzoehVnOePKXlcEuu4AiYjgihoFfAlHzMissT/6yMmhlJvAJkh4BngD+HdgI3NLhuMwy5dr/VgatPAS+mOQ5wMMRcRBwDHBPR6Myy5Br/1tZtJIAXo6ITcAUSVMi4g5gcDIXlfRJST9K6wrdJGm/yZzPrF2qwz+HhyFidPin5wBYEbWSAJ6TNAO4E6hIWgG8OMnrrgZen44kehi4cJLnM2sLD/+0MmklASwEtgLnkawL/BjJbODdFhHfjoht6dt7gDmTOZ9Zu3j4p5VJwwQg6bckzY+IFyNiR0Rsi4hVwFpgvzbG8Gc0eagsaamkIUlDIyMjbbys2XiNhnl6+KcVUbMWwGUkq3+N9Yt0X1OSbpP0gzqvhTXHLAe2kZScrisiVkbEYEQMzp49e1eXNZsUD/+0Mmk2EeyVEbF+7MaIWC9pYFcnjohjm+2XdDpJUbljIsLzCiwXXPvfyqRZAtivyb5XTOaikhYAFwBHpUtOmuWGa/9bWTTrAhqS9P6xGyWdCayZ5HUvB2YCqyWtk3TVJM9nNiku/Wxl1KwFcC5wk6RFjN7wB4E9gBMnc9GI+K3J/L5ZO7n0s5WVdtX9Lulo4PXp2w0R8Z2OR9XA4OBgDA0NZXV5K6iBgfqF3/r7kxnAZr1O0pqIGDeBd5fVQNOZv3d0JCqzHPDYfyurViaCmRWax/5bWTkBWOl57L+VlROAlZ5LP1tZOQFY6VUqnvhl5dTKkpBmheUhoFZmbgFYqS1b5vLPVl5OAFZalQps2lR/n4eAWhk4AVhpNfuW7yGgVgZOAFZazb7lewiolYETgJVWo2/5fX1+AGzl4ARgpdVoAtiKFdnEY9ZtTgBWStWx/1u3wtSpyTZPALOy8TwAK52xY/+3bx8t/eCbv5WJWwBWOtVv/rU89t/KyAnASsfln80STgBWOi7/bJZwArDSeec7k6qftVz+2crICcBKpVKBVaugdiVUCU47zQ+ArXycAKxU6hV/i4BvfSubeMyy5ARgpeHib2Y7cwKw0nDxN7OdOQFYabj4m9nOnACsNFz8zWxnTgBWGo2Gf7r4m5WVE4CVgod/mo3nBGClUK/+j4d/Wtk5AVgpuP6P2XhOAFZ4lQpMafBfuod/Wpk5AVihVWv/b98+fp/r/1jZZZoAJJ0vKSTNyjIOK656ff+QrALm1b+s7DJLAJIOBN4OuBfWOmZ4uP727dt98zfLsgXwKeACIHZ1oNnuqq732+p2szLJJAFIWgj8JCIeaOHYpZKGJA2NjIx0ITorknp9/822m5VJxxaFl3Qb8Ko6u5YDF5F0/+xSRKwEVgIMDg66tWAT0tdXvwJof3/3YzHLm44lgIg4tt52SYcCBwEPKJmXPwdYK+mIiHi2U/FY+VQqsGXL+O177OHRP2bQwQTQSESsB36j+l7SRmAwIn7e7Vis2JYvh5dfHr995kw/ADYDzwOwAms0y3fz5u7GYZZXmSeAiBjwt3/rhP33r7/ds3/NEpknALNOOOus+g9/p093/79ZlROAFU6lAlddVX/fPvu4/9+sygnACmf58p3r/tdy/7/ZKCcAK5xG5R/A/f9mtZwArFAqlfHLPlZJ7v83q+UEYIXSrPvngx90/79ZLScAK5Rm3T9XXNG9OMx6gROAFUqjlb8abTcrM//fwgplx46JbTcrMycAK4yzzso6ArPe4gRghVCpwJVXNt7f19e9WMx6hROAFcKyZc33r1jRnTjMeokTgBVCvbo/VX19Hv5pVo8TgBWev/2b1ecEYIXQqI9/77397d+sEScAK4QVK5JSz7WmT4fPfS6beMx6gROAFcKiRXDttcli71Ly77XX+tu/WTNdXxPYrFMWLfIN32wi3AIwMyspJwAzs5JyAjAzKyknADOzknICMDMrKUWj5ZNySNII0GTJj66YBfw84xjywp/FKH8Wo/xZjMrLZ9EfEbPHbuypBJAHkoYiYjDrOPLAn8Uofxaj/FmMyvtn4S4gM7OScgIwMyspJ4CJW5l1ADniz2KUP4tR/ixG5fqz8DMAM7OScgvAzKyknADMzErKCWASJJ0vKSTNyjqWrEj6pKQfSXpQ0k2S9ss6pm6TtEDSjyU9KuljWceTFUkHSrpD0g8lbZC0i5Wai0/SVEn3S7o561jqcQLYTZIOBN4OPJl1LBlbDbw+Ig4DHgYuzDierpI0Ffgs8A7gEOBkSYdkG1VmtgHnR8QhwJHAh0r8WVQtAx7KOohGnAB236eAC4BSP0WPiG9HxLb07T3AnCzjycARwKMR8XhE/Aq4AViYcUyZiIhnImJt+vPzJDe+A7KNKjuS5gDHAZ/POpZGnAB2g6SFwE8i4oGsY8mZPwNuyTqILjsAeKrm/dOU+KZXJWkAOBy4N+NQsnQZyZfEHRnH0ZBXBGtA0m3Aq+rsWg5cRNL9UwrNPouI+Nf0mOUkXQCVbsZm+SNpBvA14NyI2JJ1PFmQdDzws4hYI+mtGYfTkBNAAxFxbL3tkg4FDgIekARJl8daSUdExLNdDLFrGn0WVZJOB44HjonyTSz5CXBgzfs56bZSkjSd5OZfiYgbs44nQ/OBEyS9E9gT2EfS9RFxasZx7cQTwSZJ0kZgMCLyUPGv6yQtAC4FjoqIkazj6TZJ00gefh9DcuO/DzglIjZkGlgGlHwjWgVsjohzMw4nN9IWwEcj4viMQxnHzwBssi4HZgKrJa2TdFXWAXVT+gD8bOBWkoeeXynjzT81H1gMvC39b2Fd+g3YcsotADOzknILwMyspJwAzMxKygnAzKyknADMzErKCcDMrKScACyXJL1K0g2SHpO0RtK3JP121nHVI2leWhV2wZjtGzMKqXr9QUmfzjIGyzcPA7XcSScU3Q2sioir0m1vAPaJiLu6cP1pNQXuWjn+H4HfBx6PiNNqtm+MiIEOhGjWFm4BWB4dDbxcvfkDRMQDEXGXpBmSbpe0VtL6tDAfkgbSdQn+WdLDkiqSjpX0PUmPSDoiPW5vSddI+s+0Tnv190+X9A1J3wFub3SdsdJk9SfA6cAfSdqzZvdIesyrJd2ZToz6gaQ/HHOOfdP1BF6Xvv+SpPfXudaApLvSmNZK+v10+4lprEqv9XDagnprtQ69pKNqJmfdL2nmbv0vY8USEX75lasX8GHgUw32TSNpCQDMAh4FBAyQFKM7lOSLzRrgmnTfQuDr6e98HDg1/Xk/kjIOe5PcwJ8G9m92nTrxzAduT3/+InBSnWPOJymcBzAVmFnnmD8Cvg+8F/i3Bn/7XsCe6c8HA0M1+64nmZF8M3Byuu2twM3pz98E5qc/zwCmZf2/s1/Zv1wMznqNgI9LegtJmd0DgFem+56IiPUAkjaQ3JhD0nqSBAFJFdcTJH00fb8nMDf9eXVEbN7FdcYW/DuZZA0A0n+XkBRDq3UfcE1aKO3rEbFu7B8VEasl/QnJ4jJvaPC3TwculzQP2A7UPhM5B/gBcE9EfKnO734PuFRSBbgxIp5ucA0rEXcBWR5tAN7UYN8iYDbwpoiYB/yU5CYO8FLNcTtq3u9gtPKtSL6lz0tfcyOiumLTiy1eJzlRshrYScBfpQ98PwMsGNu9EhF3Am8hKRb3z5KWjP2jJE0BfhfYCvx6uu3Emm6bQeC8NI43AIPAHjWnmJP+na9Mz7WTiPgH4EzgFcD3JP3O2GOsfJwALI++A/yapKXVDZIOS/vO9yWps/6ypKOB/gme+1bgnLTvHkmHNziulescAzwYEQdGxEBE9JN8+z+x9iBJ/cBPI+JqktWh3ljnXOeRFJM7BbhW0vSIuKkmUQ2lMT0TETtIiq5NTc8/jaS76+T0HB8Ze3JJr42I9RHxjyQtEicAcwKw/ImIILmJHpsOA90A/D1J90sFGEy7dZYAP5rg6S8m6Up5MD3vxQ2Oa+U6JwM3jdn2tXR7rbeSrB9xP/AeYEXtzvTh75kk6+neBdwJ/GWd610BnCbpAZIbeLXFchFwV0T8B8nN/0xJvzvmd89NH0A/CLxM+VZuszo8DNTMrKTcAjAzKyknADOzknICMDMrKScAM7OScgIwMyspJwAzs5JyAjAzK6n/Dxygrv9tsITwAAAAAElFTkSuQmCC
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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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wewjWQTmFuoavuPiA+1LSqzLuVZwdZNmkkA16cvM5vAokW11wXyrGDLowkTQESslbQfsCgift6BmMy6Vn//7n0A4FnBll/NzAQ+BdhAMgIISUdJ8rr9ZjV4VrB1k2aGgX6cZAP3ZwEiYgPwqrZFZNblvEmMdYtm+gB2RMSvJVUf29WmeMwKwcNBrRs0UwPYJOlMYLqkwyV9FrirzXGZdTUPB7Vu0EwC+CDwe8ALwJeALcCKNsZk1vU8HNS6QTOjgJ4DVqYvM2uCh4NaN2hmFFCfpOslrZf0k9FXJ4Iz61beJMa6QTOdwAPAR4GNuPPXrCmjHb0rVybNPosWJQ9/dwBbnjSTAIYjwuP+zSbJm8RY3jWTAP5S0heB20g6ggGICC8PYWbWxZoZBfRu4CjgRJJ9AE4BTm5jTGaF4v0BLK+aqQH8l4h4TdsjMSsgTwizPGumBnCXpMVtj8SsgDwhzPKsmRrAscAGSY+S9AEIiIg4sq2RmRWAJ4RZnjWTAE5sexRmBeUJYZZnEzYBRcTmiNgMPA9E1cvMJuAJYZZnzcwEPlXSg8CjwL8AQ8BNbY7LrBC8P4DlWTOdwJeR9AM8EBGHAccDd7c1KrMC8f4AllfNJIAdETECTJM0LSJuB/qmUqikT0n6Wbqu0A2SDpzK/czybnQ46ObNEDE2HNRJwLLUTAJ4VtJs4A5gQNIqYPsUy70FOCIdSfQAcMkU72eWax4OannUTAJYCjwHXEiyL/DDJLOB91pEfDcidqYf7wYWTuV+Znnn4aCWR3UTgKTflnRcRGyPiF0RsTMi1gLrgQNbGMOf0qBTWdIySYOSBoeHh1tYrFnn1Bv26eGglqVGNYArSHb/Gu/X6bmGJN0q6ac1XkurrlkJ7CRZcrqmiFgTEX0R0bdgwYKJijXLJQ8HtTxqNBHs4IjYOP5gRGyU1DvRjSPihEbnJZ1Lsqjc8RHheQVWaN4fwPKoUQI4sMG5/aZSqKQTgYuBN6dbTpoVnvcHsLxp1AQ0KOm94w9Keg+wborlXgnMAW6RtEHSVVO8n1nX8PLQlheNagArgBskVRh74PcB+wCnTaXQiPjtqfy8Wbfy8tCWJ5qo+V3SEuCI9OOmiPhe26Oqo6+vLwYHB7Mq3mzKentrLw7X05PMFjZrB0nrImKPCbwTrgaazvy9vS1RmZWM5wNYnjQzEczMWsTzASxPnADMOsjzASxPnADMOsjLQ1ueOAGYdZiXh7a8aGZLSDNrMQ8HtTxwDcAsA/WWh16+PJt4rJycAMwyUG/Y58iIm4Ksc5wAzDLQaNinN4mxTnECMMtAo2GfnhRmneIEYJaBSgXmzat9zpPCrFOcAMwysmqVJ4VZtpwAzDIyOimsuiaw35R22jCbHCcAs4w9//zY+5GRZD6ARwJZJzgBmGWo3nwAjwSyTnACMMuQl4e2LDkBmGXIy0NblpwAzDJUa3logG3b3A9g7ecEYJahWiOBwJ3B1hlOAGYZq1Rg9uw9j7sz2NrNCcAsB2ptFN/ouFkrOAGY5cD06ZM7btYKTgBmOfDSS5M7btYKTgBmOdDTM7njZq3gBGCWAx4OallwAjDLAQ8HtSw4AZjlhIeDWqc5AZjliNcGsk5yAjDLkXprAB10UGfjsHJwAjDLkf5+mDlzz+Nbt7ofwFov0wQg6SJJIWl+lnGY5UWlAnPn7nn8xRfdD2Ctl1kCkHQo8DbArZtmVUZGah/3shDWalnWAD4NXAxEhjGY5Y6XhbBOySQBSFoK/DIi7m3i2mWSBiUNDg8PdyA6s2x5WQjrlBnturGkW4FX1Di1EriUpPlnQhGxBlgD0NfX59qCFV5PT+3mnvGTxMymqm01gIg4ISKOGP8CHgEOA+6VNAQsBNZLqpUszEqnvx/22WfP41u2eCSQtVbHm4AiYmNEvDwieiOiF3gceH1EPNnpWMzyqFKBOXP2PL5jh0cCWWt5HoBZDj3zTO3jnhFsrZR5AkhrAk9nHYdZnnhGsHVC5gnAzPZUb0bwyAi8//2dj8eKyQnALIfqzQgGuOoqdwZbazgBmOVUvX6ACHcGW2s4AZjlVL1+APCyENYaTgBmOdXfD1Ltc5KbgWzqnADMcqpSgfPPr33OzUDWCk4AZjm2enX9c24GsqlyAjDLuUargLoZyKbCCcAs5xqtAupmIJsKJwCznOvpqX/OzUA2FU4AZjnX31//XL1RQmbNcAIwy7lKpf65CPcD2N5zAjDrcu4HsL3lBGDWBRrtBuYlom1vOQGYdYFVq+qfa7RkhFkjTgBmXaBSgfe9b89O31mzGncSmzXiBGDWJVavhmuvTYaFSsm/a9Y07iQ2a2RG1gGYWfMqFT/wrXVcAzAzKyknADOzknICMDMrKScAM7OScgIwMyspRUTWMTRN0jCQ9fqH84GnM44hL/xdjPF3McbfxZi8fBc9EbFg/MGuSgB5IGkwIvqyjiMP/F2M8Xcxxt/FmLx/F24CMjMrKScAM7OScgKYvDVZB5Aj/i7G+LsY4+9iTK6/C/cBmJmVlGsAZmYl5QRgZlZSTgBTIOkiSSFpftaxZEXSpyT9TNJPJN0g6cCsY+o0SSdK+rmkhyR9LOt4siLpUEm3S7pP0iZJy7OOKWuSpkv6saQbs46lFieAvSTpUOBtQNk35LsFOCIijgQeAC7JOJ6OkjQd+BzwdmAxcIakxdlGlZmdwEURsRg4FvhAib+LUcuB+7MOoh4ngL33aeBioNS96BHx3YjYmX68G1iYZTwZOAZ4KCIeiYgXgS8DSzOOKRMR8URErE/fbyV58B2SbVTZkbQQOAn4Ytax1OMEsBckLQV+GRH3Zh1LzvwpcFPWQXTYIcBjVZ8fp8QPvVGSeoGjgR9lHEqWriD5I3FXxnHU5R3B6pB0K/CKGqdWApeSNP+UQqPvIiL+T3rNSpImgIFOxmb5I2k28HVgRURsyTqeLEg6GfhVRKyT9JaMw6nLCaCOiDih1nFJrwUOA+5VskP3QmC9pGMi4skOhtgx9b6LUZLOBU4Gjo/yTSz5JXBo1eeF6bFSkjST5OE/EBHXZx1Pho4DTpX0DmBfYK6k6yLirIzj2o0ngk2RpCGgLyLysOJfx0k6EbgceHNEDGcdT6dJmkHS+X08yYP/HuDMiNiUaWAZUPIX0VrgmYhYkXE4uZHWAD4SESdnHMoe3AdgU3UlMAe4RdIGSVdlHVAnpR3gFwA3k3R6frWMD//UccDZwFvT/xc2pH8BW065BmBmVlKuAZiZlZQTgJlZSTkBmJmVlBOAmVlJOQGYmZWUE4DlkqRXSPqypIclrZP0bUm/k3Vc40kakrQxHfK4MV0m5DfnMgwNSX2SPpNlDJZvHgZquZNOKLoLWBsRV6XHXgfMjYg7O1D+jKoF7ia6doh0IqCk1wDfjYie0XMR0du+SM2mxjUAy6MlwI7Rhz9ARNwbEXdKmi3pNknrq//iltSb7kvwj5IekDQg6QRJP5D0oKRj0uv2l3SNpH9L12kf/flzJX1T0veA2+qVM4G5wL9XfR5O7/1KSXektYSfSvr96h+SdEC6n8Br0s9fkvTe8TdPf8c705jWS/pv6fHT0liVlvVAWoN6y+g69JLeXDU568eS5jT9X8OKKyL88itXL+BDwKfrnJtBUhMAmA88BAjoJVmM7rUkf9isA65Jzy0FvpH+zCeAs9L3B5Is47A/cC7JSp4HNSqnRjxDwEbgp8BzwMk1rrmIZOE8gOnAnBrX/AHwQ+CdwHfq/O6zgH3T94cDg1XnriOZkXwjcEZ67C3Ajen7bwHHpe9nAzOy/u/sV/YvLwZn3UbAJyS9iWSZ3UOAg9Nzj0bERgBJm4DbIiIkbSRJEJCs4nqqpI+kn/cFFqXvb4mIZyYop9aCf0siaQJ6NUnt4fsRsa3q/D3ANelCad+IiA3jbxARt0j6nySby7yuzu8+E7hS0lHAS0B1n8gHSZLQ3RHxpRo/+wPgckkDwPUR8XidMqxE3ARkebQJeEOdcxVgAfCGiDgKeIrkIQ7wQtV1u6o+72Js5VsBp0fEUelrUUSM7ti0vclyaoqIh9PrFo87fgfwJpLF4v5R0jnjf1bSNOA/k9QiXpYeO62q2aYPuDC9/+uAPmCfqlssTH/Pg9N7jY/tb4H3APsBP5D0u41+FysHJwDLo+8BvyVp2egBSUembecHkKyzvkPSEqBnkve+Gfhg2tGMpKPrXDfpciS9nGSp8M3jjvcAT0XE1SS7Q72+xo9fSLKY3JnAP0iaGRE3VCWqwTSmJyJiF8mia9PT+88gae46I73Hh2vE9uqI2BgRf0dSI3ECMDcBWf6kzTanAVdI+nPgP0ja2leQbDjzrbRZZxD42SRvfxnJTk0/Sf9SfpRkL4PxJlPO7ZJeImmi+VhEPDXu/FuAj0raAWwDdqsBpJ2/7wGOiYitku4A/gL4y3H3WQ18Pa1BfIexGsulwJ0R8a+S7gXukfR/x/3sijSR7SKpYZVt5zarwcNAzcxKyk1AZmYl5QRgZlZSTgBmZiXlBGBmVlJOAGZmJeUEYGZWUk4AZmYl9f8BoWjg6XpUqtMAAAAASUVORK5CYII=
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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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
"
>
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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>
</pre></div>

    </div>
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<pre>[[ 0.86824089  0.24000231 -0.73555626]
 [ 4.92403877  1.36112074 -4.17154686]
 [-0.81587956 -0.2255284   0.69119679]
 [ 4.92403877  1.36112074 -4.17154686]
 [-2.5        -0.69105911  2.11794985]
 [-4.33012702 -1.19694949  3.66839674]]
[0.86824089 4.92403877 0.        ]
[-0.2255284   1.36112074  0.08208562]
[ 2.11794985e+00  3.66839674e+00 -1.77422299e-16]
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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="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)</span>
<span class="c1">#print(Sigma)</span>
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<pre>[[  0.39188   2.22244  -0.36824   2.22244  -1.12836  -1.95439]
 [  2.22244  12.60411  -2.08841  12.60411  -6.39927 -11.08387]
 [ -0.36824  -2.08841   0.34604  -2.08841   1.06032   1.83652]
 [  2.22244  12.60411  -2.08841  12.60411  -6.39927 -11.08387]
 [ -1.12836  -6.39927   1.06032  -6.39927   3.24900   5.62743]
 [ -1.95439 -11.08387   1.83652 -11.08387   5.62743   9.74699]]
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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="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>[[ -0.10031   0.91853   0.36094  -0.12327   0.02775  -0.00000]
 [ -0.56891  -0.18869   0.21810  -0.27422   0.13406   0.70711]
 [  0.09427  -0.03696  -0.01482  -0.57779  -0.80975  -0.00000]
 [ -0.56891  -0.18869   0.21810  -0.27422   0.13406  -0.70711]
 [  0.28884  -0.27895   0.87761   0.22650  -0.13132  -0.00000]
 [  0.50029  -0.07694   0.06451  -0.67028   0.53884  -0.00000]] 

 [ 38.94212   0.00000   0.00000   0.00000   0.00000   0.00000] 

 [[ -0.10031  -0.56891   0.09427  -0.56891   0.28884   0.50029]
 [  0.02742  -0.39165  -0.02220  -0.39165  -0.09454  -0.82647]
 [  0.01154   0.12893  -0.13191   0.12893   0.94755  -0.22666]
 [  0.43222  -0.07796  -0.88335  -0.07796  -0.07811   0.12089]
 [ -0.89568   0.01577  -0.43921   0.01577  -0.06073  -0.02591]
 [ -0.00000  -0.70711  -0.00000   0.70711  -0.00000   0.00000]]
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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="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="s2">&quot;u1: &quot;</span><span class="p">,</span><span class="n">u1</span><span class="p">,</span><span class="s2">&quot;</span><span class="se">\n</span><span class="s2">&quot;</span><span class="p">)</span>
    <span class="nb">print</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="o">.</span><span class="n">T</span><span class="p">,</span><span class="n">data_all</span><span class="p">))</span>
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<pre>u1:  [ -0.10031  -0.56891   0.09427  -0.56891   0.28884   0.50029] 

[ -8.65516  -2.39249   7.33248   6.44623  -3.76870  -8.52975  -0.94695
   8.00623   5.37317  -5.03568  -8.15714   0.52603   8.44795   4.14439
  -6.15674  -7.54813   1.98377   8.64485   2.79551  -7.09936  -6.72037
   3.38402   8.59122   1.36561  -7.83625  -5.69786   4.68620   8.28861
  -0.10386  -8.34603  -4.51022   5.85257   7.74579  -1.57033  -8.61395
  -3.19187   6.84933   6.97850  -2.99129  -8.63223  -1.78102   7.64760
   6.00897  -4.32555  -8.40034  -0.31855   8.22423   4.86530  -5.53446
  -7.92501]
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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>[ 0.02126813  0.12061758 -0.01998551  0.12061758 -0.06123915 -0.10606932]
[[ 0.86824089  0.24000231 -0.73555626]
 [ 4.92403877  1.36112074 -4.17154686]
 [-0.81587956 -0.2255284   0.69119679]
 [ 4.92403877  1.36112074 -4.17154686]
 [-2.5        -0.69105911  2.11794985]
 [-4.33012702 -1.19694949  3.66839674]]
[[ 0.84697275  0.21873418 -0.7568244 ]
 [ 4.80342119  1.24050316 -4.29216444]
 [-0.79589405 -0.20554289  0.7111823 ]
 [ 4.80342119  1.24050316 -4.29216444]
 [-2.43876085 -0.62981996  2.179189  ]
 [-4.2240577  -1.09088017  3.77446606]]
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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>[[  0.39142   2.21983  -0.36781   2.21983  -1.12704  -1.95208]
 [  2.21983  12.58926  -2.08596  12.58926  -6.39174 -11.07081]
 [ -0.36781  -2.08596   0.34563  -2.08596   1.05907   1.83436]
 [  2.21983  12.58926  -2.08596  12.58926  -6.39174 -11.07081]
 [ -1.12704  -6.39174   1.05907  -6.39174   3.24517   5.62080]
 [ -1.95208 -11.07081   1.83436 -11.07081   5.62080   9.73551]]
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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="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>[[ 1.00314813e-01 -8.09220291e-01  2.35672001e-01  4.14912754e-01
   3.27727896e-01 -8.76457853e-17]
 [ 5.68913576e-01  2.26385663e-01 -1.19466587e-01  3.28291225e-01
   5.51314889e-02  7.07106781e-01]
 [-9.42650896e-02  2.49851482e-01 -7.13635321e-02 -1.93010414e-01
   9.41457676e-01 -4.01886037e-16]
 [ 5.68913576e-01  2.26385663e-01 -1.19466587e-01  3.28291225e-01
   5.51314889e-02 -7.07106781e-01]
 [-2.88844992e-01  4.19818051e-01  7.19849263e-01  4.71191184e-01
   1.08296215e-02  6.46413661e-17]
 [-5.00294202e-01  6.31555549e-02 -6.26608699e-01  5.94157385e-01
   7.45839830e-03 -9.89268484e-17]] 

 [3.88962530e+01 2.48895119e-15 1.53755098e-15 6.03248792e-16
 2.56889985e-16 5.12275336e-32] 

 [[-1.00314813e-01 -5.68913576e-01  9.42650896e-02 -5.68913576e-01
   2.88844992e-01  5.00294202e-01]
 [-2.36681200e-01  1.00707289e-01 -4.99866436e-02  1.00707289e-01
  -7.36060591e-01  6.15966099e-01]
 [ 3.94008891e-01 -3.69147353e-01 -3.86422500e-01 -3.69147353e-01
  -5.23883511e-01 -3.85280644e-01]
 [-3.90423539e-01 -1.61440698e-01  7.32189672e-01 -1.61440698e-01
  -3.07845317e-01 -4.05675741e-01]
 [ 7.91356684e-01  6.21491602e-02  5.50628154e-01  6.21491602e-02
  -7.45701281e-02  2.39327170e-01]
 [-0.00000000e+00  7.07106781e-01 -1.06165077e-15 -7.07106781e-01
   2.77555756e-16 -1.38777878e-16]]
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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>[ 0.10031481  0.56891358 -0.09426509  0.56891358 -0.28884499 -0.5002942 ]
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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>5.671281819617699
-6.035252053883913
1.7320508075688776
</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">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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<img 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<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[33]:</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">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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c4cNBwkqav1jLwHWO7u1wIvAg/VXpJINsXDQQeXXs8BFvLzc0M2bEDDQZK6moLc3SvuPjL+7TPA4tpLEsmuUgle7Wvm6E0drDhe4b57XW2Ikrok98h/FfhWgscTyaTubvjLHQGXju5nObvUhiipe9cgN7NNZvb9U/y5Z8rvlIER4LT/lM1sjZn1mlnvwMBAMtWLpKBchv8e6gJQG6Jkgrl7bQcwewD4FLDa3QfP5u+0t7d7b29vTe8rkpamJnCHXSxnP++jk00AmMHYWMrFSUMzs+3u3n7yeq1dK3cCnwc+frYhLpJ3cbthSMAKnmQ2g1XrIvVW6x75l4F5QI+ZPW9mX0ugJpFMm9qGeB5D3M7jakOUVM2o5S+7+1VJFSKSF3G74Z88tIJjr5/PL8wLuferH1MboqSm5j3yc6E9cmkYQRDN6O/Zk3YlUgDTskcuUnTbLwnghRdotX71k0tqFOQi56i7Gz71zeipQZ1U1E8uqVGQi5yjchm2H1/GPhapn1xSpSAXOUfR7WuNCl10sIlmRqasi9SPglzkHE3tJ7+Id2int2pdpF4U5CLnKO4n30QHYxgBofrJJRUKcpFzFN/Wdl7rQnpp507CiT1yXfCUeqppIEik6OIhoC0PBPzeyJ9zIe/Q17eANWuqfy4ynXRGLlKjchkeHQloZozVbAbUvSL1pSAXqVFfHzzLjRxm3kQbYrwuUg8KcpEaNTfDCDPZzOrxIPeJdZF6UJCL1Gh0NHoNCWiln6t5sWpdZLopyEVq1NoavVaofmpQvC4y3RTkIjWK+8lf40pe4ir1k0vdKchFahT3k7e2RtsrK3mMkcET6ieXulGQiySgVIrOwB+f1cVcBrmVp3Q3RKkbBblIQspl+J+hOxhmBl1UAPWTS30oyEUS0t8PR5nH09xS1U+uuyHKdFOQiyRk6t0QP8xOLmN/1brIdFGQiyQk7l6J2xA76VH3itSFglwkIXH3Sv/F1/EWLQSEzJ6ddlVSBApykYQNHm+ih066qHDo4Jg6V2TaKchFElQuR50qIQGXMsBPs5PBQVi7Nu3KpJEpyEUSFHeo9NAJTI7rHzyos3KZPgpykQTFHSr7uZydXFvVhqh+cpkuCnKRBE3tUAkJuIWnmctRQP3kMn0U5CIJKpVg4cLo65CAWQyzkscA9ZPL9FGQiyRs/fqon/xpbmGQ2QSEmMFdd6VdmTQqBblIwkoluP9+GLLzeYyVBIS4w8MP64KnTA8Fucg02LgR3KPtlat5iTZe0w20ZNooyEWmQXxhMyQAmLgboi54ynRIJMjN7EEzczO7JInjieRdfGHzB3yAfpZMtCE2NWl7RZJXc5Cb2RKgC9C5hsi4+AZaYIQErGYzzYwwOqqHTUjykjgj/xvg84AncCyRhhDfQKu5OdpeuZDD3MizgB42IcmrKcjN7B7gDXffeRa/u8bMes2sd2BgoJa3FcmFUglGR2EzqxmlqWrKs68vxcKk4bxrkJvZJjP7/in+3AP8AfBHZ/NG7r7B3dvdvb2lpaXWukVyobkZ3uEivsMNVUHe3JxiUdJwZrzbL7h7x6nWzewa4Apgp5kBLAZ2mNkN7r4/0SpFcmp0NHoNCfgj/oSLOMTbXDyxLpKEc95acfdd7n6pu7e5exuwD7heIS4yqbU1eg0JaMLpYBMwOcYvkgT1kYtMo3XrYNYseI6P8DYLJrZXDh9W54okJ7EgHz8zP5DU8UQaQakE8+bBKDPYzOrxIHeGh9W5IsnRGbnINDt0KHoNCVjMG/wUewB1rkhyFOQi0yye8qzQBVDVvaLtFUmCglxkmsUPm+inlRf4QFWQ61mekgQFucg0K5Umvw4JuJ3HOY/jQPQsT5FaKchF6igkYDbHWcGTaZciDURBLlIHcd/449zOCWZpn1wSpSAXqYP166PXQebyFLdO3J8c1IYotVOQi9TByfvk17KLy3kTUBui1E5BLlInU8f1gaqzcm2vSC0U5CJ1Erch7uIa9nNZVZB/+tMpFSUNQUEuUifx9orTRIUuOunBGAPg6FGdlcu5U5CLpCAkoIUDXM+OiTVd9JRzpSAXqaO4DbGHTgA9NUgSoSAXqaO4DXGAS9nBdVX75E36r1HOkf7piNTRyW2IH+XbzOMwAGNjKRUluacgF0lJSMBMRriDrWmXIjmnIBeps3if/Nt8lKPMndhe0ePf5FwpyEXqbP16mDkThpnFVu4gIGTmzMn9c5H3SkEuUmelEvzTP0WTnhUCruIV/u0vX6naPxd5LxTkIikolWDvXvjSi9G4/j2zK2f+CyJnoCAXSdNVV0FbG4Thu/6qyOkoyEXSZAZBAFu2wPBw2tVITinIRdIWBHDkCGzblnYlklMKcpG0rVoFzc1Q0T65nBsFuUjaLrwQbrpJ++Ryzszd6/+mZgNA2rcIugQ4kHINWaHPYpI+i0n6LCZl5bNodfeWkxdTCfIsMLNed29Pu44s0GcxSZ/FJH0Wk7L+WWhrRUQk5xTkIiI5V+Qg35B2ARmiz2KSPotJ+iwmZfqzKOweuYhIoyjyGbmISENQkIuI5JyCHDCzB83MzeyStGtJi5n9tZm9YGbfM7P/MLMFaddUb2Z2p5n9wMxeNrMvpF1PWsxsiZltNbP/NbPdZrY27ZrSZmbNZvZdM3s07VpOpfBBbmZLgC6gP+1aUtYDLHf3a4EXgYdSrqeuzKwZ+ArwMWAZ8EkzW5ZuVakZAR5092XATcBnCvxZxNYCe9Iu4nQKH+TA3wCfBwp91dfdK+4+Mv7tM8DiNOtJwQ3Ay+7+qrsPAd8A7km5plS4+w/dfcf410eIAmxRulWlx8wWAz8LfD3tWk6n0EFuZvcAb7j7zrRryZhfBb6VdhF1tgh4fcr3+yhweMXMrA24Dng25VLS9LdEJ3tjKddxWjPSLmC6mdkm4H2n+FEZ+AOibZVCONNn4e7/Of47ZaL/te6uZ22SPWZ2AfDvwGfd/XDa9aTBzO4G3nL37Wa2MuVyTqvhg9zdO061bmbXAFcAO80Moq2EHWZ2g7vvr2OJdXO6zyJmZg8AdwOrvXgDBm8AS6Z8v3h8rZDMbCZRiHe7+zfTridFtwAfN7O7gPOB+Wb2z+5+b8p1VdFA0Dgz2wu0u3sW7nBWd2Z2J/BF4HZ3H0i7nnozsxlEF3lXEwX4c8Avu/vuVAtLgUVnNg8Dh9z9symXkxnjZ+Sfc/e7Uy7lxxR6j1yqfBmYB/SY2fNm9rW0C6qn8Qu9vw2ERBf3HiliiI+7BbgPWDX+b+H58TNSySidkYuI5JzOyEVEck5BLiKScwpyEZGcU5CLiOScglxEJOcU5CIiOacgFxHJuf8HZgEfadx2D9wAAAAASUVORK5CYII=
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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>
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<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>[ 0.10031481  0.56891358 -0.09426509  0.56891358 -0.28884499 -0.5002942 ]
(6, 50)
</pre>
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<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[36]:</div>
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    <div class="input_area">
<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>
</pre></div>

    </div>
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<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[37]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">res</span><span class="o">.</span><span class="n">shape</span>
</pre></div>

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    <div class="prompt output_prompt">Out[37]:</div>


<div class="output_text output_subarea output_execute_result">
<pre>(6, 50)</pre>
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<div class="cell border-box-sizing code_cell rendered">
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<div class="prompt input_prompt">In&nbsp;[38]:</div>
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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>
</pre></div>

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<pre>[[  8.443   2.180  -7.544  -6.658   3.557   8.318   0.735  -8.218]
 [  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]
 [  0.000   0.000  -0.000  -0.000   0.000   0.000   0.000  -0.000]]
</pre>
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<div class="prompt input_prompt">In&nbsp;[39]:</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">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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<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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<pre>38.11832794269996</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="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">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>[  0.391  12.589   0.346  12.589   3.245   9.736]
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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>
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<pre>12.721066369316297</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">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">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">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">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 (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">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>
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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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<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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