FIZ220_EST_UygulamaNotlari_08_LineerCebir_Uygulamalari_1.html

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  content: "\e250";
}
.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: #000;
  background-color: #fff;
}
input,
button,
select,
textarea {
  font-family: inherit;
  font-size: inherit;
  line-height: inherit;
}
a {
  color: #337ab7;
  text-decoration: none;
}
a:hover,
a:focus {
  color: #23527c;
  text-decoration: underline;
}
a:focus {
  outline: 5px auto -webkit-focus-ring-color;
  outline-offset: -2px;
}
figure {
  margin: 0;
}
img {
  vertical-align: middle;
}
.img-responsive,
.thumbnail > img,
.thumbnail a > img,
.carousel-inner > .item > img,
.carousel-inner > .item > a > img {
  display: block;
  max-width: 100%;
  height: auto;
}
.img-rounded {
  border-radius: 3px;
}
.img-thumbnail {
  padding: 4px;
  line-height: 1.42857143;
  background-color: #fff;
  border: 1px solid #ddd;
  border-radius: 2px;
  -webkit-transition: all 0.2s ease-in-out;
  -o-transition: all 0.2s ease-in-out;
  transition: all 0.2s ease-in-out;
  display: inline-block;
  max-width: 100%;
  height: auto;
}
.img-circle {
  border-radius: 50%;
}
hr {
  margin-top: 18px;
  margin-bottom: 18px;
  border: 0;
  border-top: 1px solid #eeeeee;
}
.sr-only {
  position: absolute;
  width: 1px;
  height: 1px;
  margin: -1px;
  padding: 0;
  overflow: hidden;
  clip: rect(0, 0, 0, 0);
  border: 0;
}
.sr-only-focusable:active,
.sr-only-focusable:focus {
  position: static;
  width: auto;
  height: auto;
  margin: 0;
  overflow: visible;
  clip: auto;
}
[role="button"] {
  cursor: pointer;
}
h1,
h2,
h3,
h4,
h5,
h6,
.h1,
.h2,
.h3,
.h4,
.h5,
.h6 {
  font-family: inherit;
  font-weight: 500;
  line-height: 1.1;
  color: inherit;
}
h1 small,
h2 small,
h3 small,
h4 small,
h5 small,
h6 small,
.h1 small,
.h2 small,
.h3 small,
.h4 small,
.h5 small,
.h6 small,
h1 .small,
h2 .small,
h3 .small,
h4 .small,
h5 .small,
h6 .small,
.h1 .small,
.h2 .small,
.h3 .small,
.h4 .small,
.h5 .small,
.h6 .small {
  font-weight: normal;
  line-height: 1;
  color: #777777;
}
h1,
.h1,
h2,
.h2,
h3,
.h3 {
  margin-top: 18px;
  margin-bottom: 9px;
}
h1 small,
.h1 small,
h2 small,
.h2 small,
h3 small,
.h3 small,
h1 .small,
.h1 .small,
h2 .small,
.h2 .small,
h3 .small,
.h3 .small {
  font-size: 65%;
}
h4,
.h4,
h5,
.h5,
h6,
.h6 {
  margin-top: 9px;
  margin-bottom: 9px;
}
h4 small,
.h4 small,
h5 small,
.h5 small,
h6 small,
.h6 small,
h4 .small,
.h4 .small,
h5 .small,
.h5 .small,
h6 .small,
.h6 .small {
  font-size: 75%;
}
h1,
.h1 {
  font-size: 33px;
}
h2,
.h2 {
  font-size: 27px;
}
h3,
.h3 {
  font-size: 23px;
}
h4,
.h4 {
  font-size: 17px;
}
h5,
.h5 {
  font-size: 13px;
}
h6,
.h6 {
  font-size: 12px;
}
p {
  margin: 0 0 9px;
}
.lead {
  margin-bottom: 18px;
  font-size: 14px;
  font-weight: 300;
  line-height: 1.4;
}
@media (min-width: 768px) {
  .lead {
    font-size: 19.5px;
  }
}
small,
.small {
  font-size: 92%;
}
mark,
.mark {
  background-color: #fcf8e3;
  padding: .2em;
}
.text-left {
  text-align: left;
}
.text-right {
  text-align: right;
}
.text-center {
  text-align: center;
}
.text-justify {
  text-align: justify;
}
.text-nowrap {
  white-space: nowrap;
}
.text-lowercase {
  text-transform: lowercase;
}
.text-uppercase {
  text-transform: uppercase;
}
.text-capitalize {
  text-transform: capitalize;
}
.text-muted {
  color: #777777;
}
.text-primary {
  color: #337ab7;
}
a.text-primary:hover,
a.text-primary:focus {
  color: #286090;
}
.text-success {
  color: #3c763d;
}
a.text-success:hover,
a.text-success:focus {
  color: #2b542c;
}
.text-info {
  color: #31708f;
}
a.text-info:hover,
a.text-info:focus {
  color: #245269;
}
.text-warning {
  color: #8a6d3b;
}
a.text-warning:hover,
a.text-warning:focus {
  color: #66512c;
}
.text-danger {
  color: #a94442;
}
a.text-danger:hover,
a.text-danger:focus {
  color: #843534;
}
.bg-primary {
  color: #fff;
  background-color: #337ab7;
}
a.bg-primary:hover,
a.bg-primary:focus {
  background-color: #286090;
}
.bg-success {
  background-color: #dff0d8;
}
a.bg-success:hover,
a.bg-success:focus {
  background-color: #c1e2b3;
}
.bg-info {
  background-color: #d9edf7;
}
a.bg-info:hover,
a.bg-info:focus {
  background-color: #afd9ee;
}
.bg-warning {
  background-color: #fcf8e3;
}
a.bg-warning:hover,
a.bg-warning:focus {
  background-color: #f7ecb5;
}
.bg-danger {
  background-color: #f2dede;
}
a.bg-danger:hover,
a.bg-danger:focus {
  background-color: #e4b9b9;
}
.page-header {
  padding-bottom: 8px;
  margin: 36px 0 18px;
  border-bottom: 1px solid #eeeeee;
}
ul,
ol {
  margin-top: 0;
  margin-bottom: 9px;
}
ul ul,
ol ul,
ul ol,
ol ol {
  margin-bottom: 0;
}
.list-unstyled {
  padding-left: 0;
  list-style: none;
}
.list-inline {
  padding-left: 0;
  list-style: none;
  margin-left: -5px;
}
.list-inline > li {
  display: inline-block;
  padding-left: 5px;
  padding-right: 5px;
}
dl {
  margin-top: 0;
  margin-bottom: 18px;
}
dt,
dd {
  line-height: 1.42857143;
}
dt {
  font-weight: bold;
}
dd {
  margin-left: 0;
}
@media (min-width: 541px) {
  .dl-horizontal dt {
    float: left;
    width: 160px;
    clear: left;
    text-align: right;
    overflow: hidden;
    text-overflow: ellipsis;
    white-space: nowrap;
  }
  .dl-horizontal dd {
    margin-left: 180px;
  }
}
abbr[title],
abbr[data-original-title] {
  cursor: help;
  border-bottom: 1px dotted #777777;
}
.initialism {
  font-size: 90%;
  text-transform: uppercase;
}
blockquote {
  padding: 9px 18px;
  margin: 0 0 18px;
  font-size: inherit;
  border-left: 5px solid #eeeeee;
}
blockquote p:last-child,
blockquote ul:last-child,
blockquote ol:last-child {
  margin-bottom: 0;
}
blockquote footer,
blockquote small,
blockquote .small {
  display: block;
  font-size: 80%;
  line-height: 1.42857143;
  color: #777777;
}
blockquote footer:before,
blockquote small:before,
blockquote .small:before {
  content: '\2014 \00A0';
}
.blockquote-reverse,
blockquote.pull-right {
  padding-right: 15px;
  padding-left: 0;
  border-right: 5px solid #eeeeee;
  border-left: 0;
  text-align: right;
}
.blockquote-reverse footer:before,
blockquote.pull-right footer:before,
.blockquote-reverse small:before,
blockquote.pull-right small:before,
.blockquote-reverse .small:before,
blockquote.pull-right .small:before {
  content: '';
}
.blockquote-reverse footer:after,
blockquote.pull-right footer:after,
.blockquote-reverse small:after,
blockquote.pull-right small:after,
.blockquote-reverse .small:after,
blockquote.pull-right .small:after {
  content: '\00A0 \2014';
}
address {
  margin-bottom: 18px;
  font-style: normal;
  line-height: 1.42857143;
}
code,
kbd,
pre,
samp {
  font-family: monospace;
}
code {
  padding: 2px 4px;
  font-size: 90%;
  color: #c7254e;
  background-color: #f9f2f4;
  border-radius: 2px;
}
kbd {
  padding: 2px 4px;
  font-size: 90%;
  color: #888;
  background-color: transparent;
  border-radius: 1px;
  box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.25);
}
kbd kbd {
  padding: 0;
  font-size: 100%;
  font-weight: bold;
  box-shadow: none;
}
pre {
  display: block;
  padding: 8.5px;
  margin: 0 0 9px;
  font-size: 12px;
  line-height: 1.42857143;
  word-break: break-all;
  word-wrap: break-word;
  color: #333333;
  background-color: #f5f5f5;
  border: 1px solid #ccc;
  border-radius: 2px;
}
pre code {
  padding: 0;
  font-size: inherit;
  color: inherit;
  white-space: pre-wrap;
  background-color: transparent;
  border-radius: 0;
}
.pre-scrollable {
  max-height: 340px;
  overflow-y: scroll;
}
.container {
  margin-right: auto;
  margin-left: auto;
  padding-left: 0px;
  padding-right: 0px;
}
@media (min-width: 768px) {
  .container {
    width: 768px;
  }
}
@media (min-width: 992px) {
  .container {
    width: 940px;
  }
}
@media (min-width: 1200px) {
  .container {
    width: 1140px;
  }
}
.container-fluid {
  margin-right: auto;
  margin-left: auto;
  padding-left: 0px;
  padding-right: 0px;
}
.row {
  margin-left: 0px;
  margin-right: 0px;
}
.col-xs-1, .col-sm-1, .col-md-1, .col-lg-1, .col-xs-2, .col-sm-2, .col-md-2, .col-lg-2, .col-xs-3, .col-sm-3, .col-md-3, .col-lg-3, .col-xs-4, .col-sm-4, .col-md-4, .col-lg-4, .col-xs-5, .col-sm-5, .col-md-5, .col-lg-5, .col-xs-6, .col-sm-6, .col-md-6, .col-lg-6, .col-xs-7, .col-sm-7, .col-md-7, .col-lg-7, .col-xs-8, .col-sm-8, .col-md-8, .col-lg-8, .col-xs-9, .col-sm-9, .col-md-9, .col-lg-9, .col-xs-10, .col-sm-10, .col-md-10, .col-lg-10, .col-xs-11, .col-sm-11, .col-md-11, .col-lg-11, .col-xs-12, .col-sm-12, .col-md-12, .col-lg-12 {
  position: relative;
  min-height: 1px;
  padding-left: 0px;
  padding-right: 0px;
}
.col-xs-1, .col-xs-2, .col-xs-3, .col-xs-4, .col-xs-5, .col-xs-6, .col-xs-7, .col-xs-8, .col-xs-9, .col-xs-10, .col-xs-11, .col-xs-12 {
  float: left;
}
.col-xs-12 {
  width: 100%;
}
.col-xs-11 {
  width: 91.66666667%;
}
.col-xs-10 {
  width: 83.33333333%;
}
.col-xs-9 {
  width: 75%;
}
.col-xs-8 {
  width: 66.66666667%;
}
.col-xs-7 {
  width: 58.33333333%;
}
.col-xs-6 {
  width: 50%;
}
.col-xs-5 {
  width: 41.66666667%;
}
.col-xs-4 {
  width: 33.33333333%;
}
.col-xs-3 {
  width: 25%;
}
.col-xs-2 {
  width: 16.66666667%;
}
.col-xs-1 {
  width: 8.33333333%;
}
.col-xs-pull-12 {
  right: 100%;
}
.col-xs-pull-11 {
  right: 91.66666667%;
}
.col-xs-pull-10 {
  right: 83.33333333%;
}
.col-xs-pull-9 {
  right: 75%;
}
.col-xs-pull-8 {
  right: 66.66666667%;
}
.col-xs-pull-7 {
  right: 58.33333333%;
}
.col-xs-pull-6 {
  right: 50%;
}
.col-xs-pull-5 {
  right: 41.66666667%;
}
.col-xs-pull-4 {
  right: 33.33333333%;
}
.col-xs-pull-3 {
  right: 25%;
}
.col-xs-pull-2 {
  right: 16.66666667%;
}
.col-xs-pull-1 {
  right: 8.33333333%;
}
.col-xs-pull-0 {
  right: auto;
}
.col-xs-push-12 {
  left: 100%;
}
.col-xs-push-11 {
  left: 91.66666667%;
}
.col-xs-push-10 {
  left: 83.33333333%;
}
.col-xs-push-9 {
  left: 75%;
}
.col-xs-push-8 {
  left: 66.66666667%;
}
.col-xs-push-7 {
  left: 58.33333333%;
}
.col-xs-push-6 {
  left: 50%;
}
.col-xs-push-5 {
  left: 41.66666667%;
}
.col-xs-push-4 {
  left: 33.33333333%;
}
.col-xs-push-3 {
  left: 25%;
}
.col-xs-push-2 {
  left: 16.66666667%;
}
.col-xs-push-1 {
  left: 8.33333333%;
}
.col-xs-push-0 {
  left: auto;
}
.col-xs-offset-12 {
  margin-left: 100%;
}
.col-xs-offset-11 {
  margin-left: 91.66666667%;
}
.col-xs-offset-10 {
  margin-left: 83.33333333%;
}
.col-xs-offset-9 {
  margin-left: 75%;
}
.col-xs-offset-8 {
  margin-left: 66.66666667%;
}
.col-xs-offset-7 {
  margin-left: 58.33333333%;
}
.col-xs-offset-6 {
  margin-left: 50%;
}
.col-xs-offset-5 {
  margin-left: 41.66666667%;
}
.col-xs-offset-4 {
  margin-left: 33.33333333%;
}
.col-xs-offset-3 {
  margin-left: 25%;
}
.col-xs-offset-2 {
  margin-left: 16.66666667%;
}
.col-xs-offset-1 {
  margin-left: 8.33333333%;
}
.col-xs-offset-0 {
  margin-left: 0%;
}
@media (min-width: 768px) {
  .col-sm-1, .col-sm-2, .col-sm-3, .col-sm-4, .col-sm-5, .col-sm-6, .col-sm-7, .col-sm-8, .col-sm-9, .col-sm-10, .col-sm-11, .col-sm-12 {
    float: left;
  }
  .col-sm-12 {
    width: 100%;
  }
  .col-sm-11 {
    width: 91.66666667%;
  }
  .col-sm-10 {
    width: 83.33333333%;
  }
  .col-sm-9 {
    width: 75%;
  }
  .col-sm-8 {
    width: 66.66666667%;
  }
  .col-sm-7 {
    width: 58.33333333%;
  }
  .col-sm-6 {
    width: 50%;
  }
  .col-sm-5 {
    width: 41.66666667%;
  }
  .col-sm-4 {
    width: 33.33333333%;
  }
  .col-sm-3 {
    width: 25%;
  }
  .col-sm-2 {
    width: 16.66666667%;
  }
  .col-sm-1 {
    width: 8.33333333%;
  }
  .col-sm-pull-12 {
    right: 100%;
  }
  .col-sm-pull-11 {
    right: 91.66666667%;
  }
  .col-sm-pull-10 {
    right: 83.33333333%;
  }
  .col-sm-pull-9 {
    right: 75%;
  }
  .col-sm-pull-8 {
    right: 66.66666667%;
  }
  .col-sm-pull-7 {
    right: 58.33333333%;
  }
  .col-sm-pull-6 {
    right: 50%;
  }
  .col-sm-pull-5 {
    right: 41.66666667%;
  }
  .col-sm-pull-4 {
    right: 33.33333333%;
  }
  .col-sm-pull-3 {
    right: 25%;
  }
  .col-sm-pull-2 {
    right: 16.66666667%;
  }
  .col-sm-pull-1 {
    right: 8.33333333%;
  }
  .col-sm-pull-0 {
    right: auto;
  }
  .col-sm-push-12 {
    left: 100%;
  }
  .col-sm-push-11 {
    left: 91.66666667%;
  }
  .col-sm-push-10 {
    left: 83.33333333%;
  }
  .col-sm-push-9 {
    left: 75%;
  }
  .col-sm-push-8 {
    left: 66.66666667%;
  }
  .col-sm-push-7 {
    left: 58.33333333%;
  }
  .col-sm-push-6 {
    left: 50%;
  }
  .col-sm-push-5 {
    left: 41.66666667%;
  }
  .col-sm-push-4 {
    left: 33.33333333%;
  }
  .col-sm-push-3 {
    left: 25%;
  }
  .col-sm-push-2 {
    left: 16.66666667%;
  }
  .col-sm-push-1 {
    left: 8.33333333%;
  }
  .col-sm-push-0 {
    left: auto;
  }
  .col-sm-offset-12 {
    margin-left: 100%;
  }
  .col-sm-offset-11 {
    margin-left: 91.66666667%;
  }
  .col-sm-offset-10 {
    margin-left: 83.33333333%;
  }
  .col-sm-offset-9 {
    margin-left: 75%;
  }
  .col-sm-offset-8 {
    margin-left: 66.66666667%;
  }
  .col-sm-offset-7 {
    margin-left: 58.33333333%;
  }
  .col-sm-offset-6 {
    margin-left: 50%;
  }
  .col-sm-offset-5 {
    margin-left: 41.66666667%;
  }
  .col-sm-offset-4 {
    margin-left: 33.33333333%;
  }
  .col-sm-offset-3 {
    margin-left: 25%;
  }
  .col-sm-offset-2 {
    margin-left: 16.66666667%;
  }
  .col-sm-offset-1 {
    margin-left: 8.33333333%;
  }
  .col-sm-offset-0 {
    margin-left: 0%;
  }
}
@media (min-width: 992px) {
  .col-md-1, .col-md-2, .col-md-3, .col-md-4, .col-md-5, .col-md-6, .col-md-7, .col-md-8, .col-md-9, .col-md-10, .col-md-11, .col-md-12 {
    float: left;
  }
  .col-md-12 {
    width: 100%;
  }
  .col-md-11 {
    width: 91.66666667%;
  }
  .col-md-10 {
    width: 83.33333333%;
  }
  .col-md-9 {
    width: 75%;
  }
  .col-md-8 {
    width: 66.66666667%;
  }
  .col-md-7 {
    width: 58.33333333%;
  }
  .col-md-6 {
    width: 50%;
  }
  .col-md-5 {
    width: 41.66666667%;
  }
  .col-md-4 {
    width: 33.33333333%;
  }
  .col-md-3 {
    width: 25%;
  }
  .col-md-2 {
    width: 16.66666667%;
  }
  .col-md-1 {
    width: 8.33333333%;
  }
  .col-md-pull-12 {
    right: 100%;
  }
  .col-md-pull-11 {
    right: 91.66666667%;
  }
  .col-md-pull-10 {
    right: 83.33333333%;
  }
  .col-md-pull-9 {
    right: 75%;
  }
  .col-md-pull-8 {
    right: 66.66666667%;
  }
  .col-md-pull-7 {
    right: 58.33333333%;
  }
  .col-md-pull-6 {
    right: 50%;
  }
  .col-md-pull-5 {
    right: 41.66666667%;
  }
  .col-md-pull-4 {
    right: 33.33333333%;
  }
  .col-md-pull-3 {
    right: 25%;
  }
  .col-md-pull-2 {
    right: 16.66666667%;
  }
  .col-md-pull-1 {
    right: 8.33333333%;
  }
  .col-md-pull-0 {
    right: auto;
  }
  .col-md-push-12 {
    left: 100%;
  }
  .col-md-push-11 {
    left: 91.66666667%;
  }
  .col-md-push-10 {
    left: 83.33333333%;
  }
  .col-md-push-9 {
    left: 75%;
  }
  .col-md-push-8 {
    left: 66.66666667%;
  }
  .col-md-push-7 {
    left: 58.33333333%;
  }
  .col-md-push-6 {
    left: 50%;
  }
  .col-md-push-5 {
    left: 41.66666667%;
  }
  .col-md-push-4 {
    left: 33.33333333%;
  }
  .col-md-push-3 {
    left: 25%;
  }
  .col-md-push-2 {
    left: 16.66666667%;
  }
  .col-md-push-1 {
    left: 8.33333333%;
  }
  .col-md-push-0 {
    left: auto;
  }
  .col-md-offset-12 {
    margin-left: 100%;
  }
  .col-md-offset-11 {
    margin-left: 91.66666667%;
  }
  .col-md-offset-10 {
    margin-left: 83.33333333%;
  }
  .col-md-offset-9 {
    margin-left: 75%;
  }
  .col-md-offset-8 {
    margin-left: 66.66666667%;
  }
  .col-md-offset-7 {
    margin-left: 58.33333333%;
  }
  .col-md-offset-6 {
    margin-left: 50%;
  }
  .col-md-offset-5 {
    margin-left: 41.66666667%;
  }
  .col-md-offset-4 {
    margin-left: 33.33333333%;
  }
  .col-md-offset-3 {
    margin-left: 25%;
  }
  .col-md-offset-2 {
    margin-left: 16.66666667%;
  }
  .col-md-offset-1 {
    margin-left: 8.33333333%;
  }
  .col-md-offset-0 {
    margin-left: 0%;
  }
}
@media (min-width: 1200px) {
  .col-lg-1, .col-lg-2, .col-lg-3, .col-lg-4, .col-lg-5, .col-lg-6, .col-lg-7, .col-lg-8, .col-lg-9, .col-lg-10, .col-lg-11, .col-lg-12 {
    float: left;
  }
  .col-lg-12 {
    width: 100%;
  }
  .col-lg-11 {
    width: 91.66666667%;
  }
  .col-lg-10 {
    width: 83.33333333%;
  }
  .col-lg-9 {
    width: 75%;
  }
  .col-lg-8 {
    width: 66.66666667%;
  }
  .col-lg-7 {
    width: 58.33333333%;
  }
  .col-lg-6 {
    width: 50%;
  }
  .col-lg-5 {
    width: 41.66666667%;
  }
  .col-lg-4 {
    width: 33.33333333%;
  }
  .col-lg-3 {
    width: 25%;
  }
  .col-lg-2 {
    width: 16.66666667%;
  }
  .col-lg-1 {
    width: 8.33333333%;
  }
  .col-lg-pull-12 {
    right: 100%;
  }
  .col-lg-pull-11 {
    right: 91.66666667%;
  }
  .col-lg-pull-10 {
    right: 83.33333333%;
  }
  .col-lg-pull-9 {
    right: 75%;
  }
  .col-lg-pull-8 {
    right: 66.66666667%;
  }
  .col-lg-pull-7 {
    right: 58.33333333%;
  }
  .col-lg-pull-6 {
    right: 50%;
  }
  .col-lg-pull-5 {
    right: 41.66666667%;
  }
  .col-lg-pull-4 {
    right: 33.33333333%;
  }
  .col-lg-pull-3 {
    right: 25%;
  }
  .col-lg-pull-2 {
    right: 16.66666667%;
  }
  .col-lg-pull-1 {
    right: 8.33333333%;
  }
  .col-lg-pull-0 {
    right: auto;
  }
  .col-lg-push-12 {
    left: 100%;
  }
  .col-lg-push-11 {
    left: 91.66666667%;
  }
  .col-lg-push-10 {
    left: 83.33333333%;
  }
  .col-lg-push-9 {
    left: 75%;
  }
  .col-lg-push-8 {
    left: 66.66666667%;
  }
  .col-lg-push-7 {
    left: 58.33333333%;
  }
  .col-lg-push-6 {
    left: 50%;
  }
  .col-lg-push-5 {
    left: 41.66666667%;
  }
  .col-lg-push-4 {
    left: 33.33333333%;
  }
  .col-lg-push-3 {
    left: 25%;
  }
  .col-lg-push-2 {
    left: 16.66666667%;
  }
  .col-lg-push-1 {
    left: 8.33333333%;
  }
  .col-lg-push-0 {
    left: auto;
  }
  .col-lg-offset-12 {
    margin-left: 100%;
  }
  .col-lg-offset-11 {
    margin-left: 91.66666667%;
  }
  .col-lg-offset-10 {
    margin-left: 83.33333333%;
  }
  .col-lg-offset-9 {
    margin-left: 75%;
  }
  .col-lg-offset-8 {
    margin-left: 66.66666667%;
  }
  .col-lg-offset-7 {
    margin-left: 58.33333333%;
  }
  .col-lg-offset-6 {
    margin-left: 50%;
  }
  .col-lg-offset-5 {
    margin-left: 41.66666667%;
  }
  .col-lg-offset-4 {
    margin-left: 33.33333333%;
  }
  .col-lg-offset-3 {
    margin-left: 25%;
  }
  .col-lg-offset-2 {
    margin-left: 16.66666667%;
  }
  .col-lg-offset-1 {
    margin-left: 8.33333333%;
  }
  .col-lg-offset-0 {
    margin-left: 0%;
  }
}
table {
  background-color: transparent;
}
caption {
  padding-top: 8px;
  padding-bottom: 8px;
  color: #777777;
  text-align: left;
}
th {
  text-align: left;
}
.table {
  width: 100%;
  max-width: 100%;
  margin-bottom: 18px;
}
.table > thead > tr > th,
.table > tbody > tr > th,
.table > tfoot > tr > th,
.table > thead > tr > td,
.table > tbody > tr > td,
.table > tfoot > tr > td {
  padding: 8px;
  line-height: 1.42857143;
  vertical-align: top;
  border-top: 1px solid #ddd;
}
.table > thead > tr > th {
  vertical-align: bottom;
  border-bottom: 2px solid #ddd;
}
.table > caption + thead > tr:first-child > th,
.table > colgroup + thead > tr:first-child > th,
.table > thead:first-child > tr:first-child > th,
.table > caption + thead > tr:first-child > td,
.table > colgroup + thead > tr:first-child > td,
.table > thead:first-child > tr:first-child > td {
  border-top: 0;
}
.table > tbody + tbody {
  border-top: 2px solid #ddd;
}
.table .table {
  background-color: #fff;
}
.table-condensed > thead > tr > th,
.table-condensed > tbody > tr > th,
.table-condensed > tfoot > tr > th,
.table-condensed > thead > tr > td,
.table-condensed > tbody > tr > td,
.table-condensed > tfoot > tr > td {
  padding: 5px;
}
.table-bordered {
  border: 1px solid #ddd;
}
.table-bordered > thead > tr > th,
.table-bordered > tbody > tr > th,
.table-bordered > tfoot > tr > th,
.table-bordered > thead > tr > td,
.table-bordered > tbody > tr > td,
.table-bordered > tfoot > tr > td {
  border: 1px solid #ddd;
}
.table-bordered > thead > tr > th,
.table-bordered > thead > tr > td {
  border-bottom-width: 2px;
}
.table-striped > tbody > tr:nth-of-type(odd) {
  background-color: #f9f9f9;
}
.table-hover > tbody > tr:hover {
  background-color: #f5f5f5;
}
table col[class*="col-"] {
  position: static;
  float: none;
  display: table-column;
}
table td[class*="col-"],
table th[class*="col-"] {
  position: static;
  float: none;
  display: table-cell;
}
.table > thead > tr > td.active,
.table > tbody > tr > td.active,
.table > tfoot > tr > td.active,
.table > thead > tr > th.active,
.table > tbody > tr > th.active,
.table > tfoot > tr > th.active,
.table > thead > tr.active > td,
.table > tbody > tr.active > td,
.table > tfoot > tr.active > td,
.table > thead > tr.active > th,
.table > tbody > tr.active > th,
.table > tfoot > tr.active > th {
  background-color: #f5f5f5;
}
.table-hover > tbody > tr > td.active:hover,
.table-hover > tbody > tr > th.active:hover,
.table-hover > tbody > tr.active:hover > td,
.table-hover > tbody > tr:hover > .active,
.table-hover > tbody > tr.active:hover > th {
  background-color: #e8e8e8;
}
.table > thead > tr > td.success,
.table > tbody > tr > td.success,
.table > tfoot > tr > td.success,
.table > thead > tr > th.success,
.table > tbody > tr > th.success,
.table > tfoot > tr > th.success,
.table > thead > tr.success > td,
.table > tbody > tr.success > td,
.table > tfoot > tr.success > td,
.table > thead > tr.success > th,
.table > tbody > tr.success > th,
.table > tfoot > tr.success > th {
  background-color: #dff0d8;
}
.table-hover > tbody > tr > td.success:hover,
.table-hover > tbody > tr > th.success:hover,
.table-hover > tbody > tr.success:hover > td,
.table-hover > tbody > tr:hover > .success,
.table-hover > tbody > tr.success:hover > th {
  background-color: #d0e9c6;
}
.table > thead > tr > td.info,
.table > tbody > tr > td.info,
.table > tfoot > tr > td.info,
.table > thead > tr > th.info,
.table > tbody > tr > th.info,
.table > tfoot > tr > th.info,
.table > thead > tr.info > td,
.table > tbody > tr.info > td,
.table > tfoot > tr.info > td,
.table > thead > tr.info > th,
.table > tbody > tr.info > th,
.table > tfoot > tr.info > th {
  background-color: #d9edf7;
}
.table-hover > tbody > tr > td.info:hover,
.table-hover > tbody > tr > th.info:hover,
.table-hover > tbody > tr.info:hover > td,
.table-hover > tbody > tr:hover > .info,
.table-hover > tbody > tr.info:hover > th {
  background-color: #c4e3f3;
}
.table > thead > tr > td.warning,
.table > tbody > tr > td.warning,
.table > tfoot > tr > td.warning,
.table > thead > tr > th.warning,
.table > tbody > tr > th.warning,
.table > tfoot > tr > th.warning,
.table > thead > tr.warning > td,
.table > tbody > tr.warning > td,
.table > tfoot > tr.warning > td,
.table > thead > tr.warning > th,
.table > tbody > tr.warning > th,
.table > tfoot > tr.warning > th {
  background-color: #fcf8e3;
}
.table-hover > tbody > tr > td.warning:hover,
.table-hover > tbody > tr > th.warning:hover,
.table-hover > tbody > tr.warning:hover > td,
.table-hover > tbody > tr:hover > .warning,
.table-hover > tbody > tr.warning:hover > th {
  background-color: #faf2cc;
}
.table > thead > tr > td.danger,
.table > tbody > tr > td.danger,
.table > tfoot > tr > td.danger,
.table > thead > tr > th.danger,
.table > tbody > tr > th.danger,
.table > tfoot > tr > th.danger,
.table > thead > tr.danger > td,
.table > tbody > tr.danger > td,
.table > tfoot > tr.danger > td,
.table > thead > tr.danger > th,
.table > tbody > tr.danger > th,
.table > tfoot > tr.danger > th {
  background-color: #f2dede;
}
.table-hover > tbody > tr > td.danger:hover,
.table-hover > tbody > tr > th.danger:hover,
.table-hover > tbody > tr.danger:hover > td,
.table-hover > tbody > tr:hover > .danger,
.table-hover > tbody > tr.danger:hover > th {
  background-color: #ebcccc;
}
.table-responsive {
  overflow-x: auto;
  min-height: 0.01%;
}
@media screen and (max-width: 767px) {
  .table-responsive {
    width: 100%;
    margin-bottom: 13.5px;
    overflow-y: hidden;
    -ms-overflow-style: -ms-autohiding-scrollbar;
    border: 1px solid #ddd;
  }
  .table-responsive > .table {
    margin-bottom: 0;
  }
  .table-responsive > .table > thead > tr > th,
  .table-responsive > .table > tbody > tr > th,
  .table-responsive > .table > tfoot > tr > th,
  .table-responsive > .table > thead > tr > td,
  .table-responsive > .table > tbody > tr > td,
  .table-responsive > .table > tfoot > tr > td {
    white-space: nowrap;
  }
  .table-responsive > .table-bordered {
    border: 0;
  }
  .table-responsive > .table-bordered > thead > tr > th:first-child,
  .table-responsive > .table-bordered > tbody > tr > th:first-child,
  .table-responsive > .table-bordered > tfoot > tr > th:first-child,
  .table-responsive > .table-bordered > thead > tr > td:first-child,
  .table-responsive > .table-bordered > tbody > tr > td:first-child,
  .table-responsive > .table-bordered > tfoot > tr > td:first-child {
    border-left: 0;
  }
  .table-responsive > .table-bordered > thead > tr > th:last-child,
  .table-responsive > .table-bordered > tbody > tr > th:last-child,
  .table-responsive > .table-bordered > tfoot > tr > th:last-child,
  .table-responsive > .table-bordered > thead > tr > td:last-child,
  .table-responsive > .table-bordered > tbody > tr > td:last-child,
  .table-responsive > .table-bordered > tfoot > tr > td:last-child {
    border-right: 0;
  }
  .table-responsive > .table-bordered > tbody > tr:last-child > th,
  .table-responsive > .table-bordered > tfoot > tr:last-child > th,
  .table-responsive > .table-bordered > tbody > tr:last-child > td,
  .table-responsive > .table-bordered > tfoot > tr:last-child > td {
    border-bottom: 0;
  }
}
fieldset {
  padding: 0;
  margin: 0;
  border: 0;
  min-width: 0;
}
legend {
  display: block;
  width: 100%;
  padding: 0;
  margin-bottom: 18px;
  font-size: 19.5px;
  line-height: inherit;
  color: #333333;
  border: 0;
  border-bottom: 1px solid #e5e5e5;
}
label {
  display: inline-block;
  max-width: 100%;
  margin-bottom: 5px;
  font-weight: bold;
}
input[type="search"] {
  -webkit-box-sizing: border-box;
  -moz-box-sizing: border-box;
  box-sizing: border-box;
}
input[type="radio"],
input[type="checkbox"] {
  margin: 4px 0 0;
  margin-top: 1px \9;
  line-height: normal;
}
input[type="file"] {
  display: block;
}
input[type="range"] {
  display: block;
  width: 100%;
}
select[multiple],
select[size] {
  height: auto;
}
input[type="file"]:focus,
input[type="radio"]:focus,
input[type="checkbox"]:focus {
  outline: 5px auto -webkit-focus-ring-color;
  outline-offset: -2px;
}
output {
  display: block;
  padding-top: 7px;
  font-size: 13px;
  line-height: 1.42857143;
  color: #555555;
}
.form-control {
  display: block;
  width: 100%;
  height: 32px;
  padding: 6px 12px;
  font-size: 13px;
  line-height: 1.42857143;
  color: #555555;
  background-color: #fff;
  background-image: none;
  border: 1px solid #ccc;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  -webkit-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  -o-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
}
.form-control:focus {
  border-color: #66afe9;
  outline: 0;
  -webkit-box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
  box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
}
.form-control::-moz-placeholder {
  color: #999;
  opacity: 1;
}
.form-control:-ms-input-placeholder {
  color: #999;
}
.form-control::-webkit-input-placeholder {
  color: #999;
}
.form-control::-ms-expand {
  border: 0;
  background-color: transparent;
}
.form-control[disabled],
.form-control[readonly],
fieldset[disabled] .form-control {
  background-color: #eeeeee;
  opacity: 1;
}
.form-control[disabled],
fieldset[disabled] .form-control {
  cursor: not-allowed;
}
textarea.form-control {
  height: auto;
}
input[type="search"] {
  -webkit-appearance: none;
}
@media screen and (-webkit-min-device-pixel-ratio: 0) {
  input[type="date"].form-control,
  input[type="time"].form-control,
  input[type="datetime-local"].form-control,
  input[type="month"].form-control {
    line-height: 32px;
  }
  input[type="date"].input-sm,
  input[type="time"].input-sm,
  input[type="datetime-local"].input-sm,
  input[type="month"].input-sm,
  .input-group-sm input[type="date"],
  .input-group-sm input[type="time"],
  .input-group-sm input[type="datetime-local"],
  .input-group-sm input[type="month"] {
    line-height: 30px;
  }
  input[type="date"].input-lg,
  input[type="time"].input-lg,
  input[type="datetime-local"].input-lg,
  input[type="month"].input-lg,
  .input-group-lg input[type="date"],
  .input-group-lg input[type="time"],
  .input-group-lg input[type="datetime-local"],
  .input-group-lg input[type="month"] {
    line-height: 45px;
  }
}
.form-group {
  margin-bottom: 15px;
}
.radio,
.checkbox {
  position: relative;
  display: block;
  margin-top: 10px;
  margin-bottom: 10px;
}
.radio label,
.checkbox label {
  min-height: 18px;
  padding-left: 20px;
  margin-bottom: 0;
  font-weight: normal;
  cursor: pointer;
}
.radio input[type="radio"],
.radio-inline input[type="radio"],
.checkbox input[type="checkbox"],
.checkbox-inline input[type="checkbox"] {
  position: absolute;
  margin-left: -20px;
  margin-top: 4px \9;
}
.radio + .radio,
.checkbox + .checkbox {
  margin-top: -5px;
}
.radio-inline,
.checkbox-inline {
  position: relative;
  display: inline-block;
  padding-left: 20px;
  margin-bottom: 0;
  vertical-align: middle;
  font-weight: normal;
  cursor: pointer;
}
.radio-inline + .radio-inline,
.checkbox-inline + .checkbox-inline {
  margin-top: 0;
  margin-left: 10px;
}
input[type="radio"][disabled],
input[type="checkbox"][disabled],
input[type="radio"].disabled,
input[type="checkbox"].disabled,
fieldset[disabled] input[type="radio"],
fieldset[disabled] input[type="checkbox"] {
  cursor: not-allowed;
}
.radio-inline.disabled,
.checkbox-inline.disabled,
fieldset[disabled] .radio-inline,
fieldset[disabled] .checkbox-inline {
  cursor: not-allowed;
}
.radio.disabled label,
.checkbox.disabled label,
fieldset[disabled] .radio label,
fieldset[disabled] .checkbox label {
  cursor: not-allowed;
}
.form-control-static {
  padding-top: 7px;
  padding-bottom: 7px;
  margin-bottom: 0;
  min-height: 31px;
}
.form-control-static.input-lg,
.form-control-static.input-sm {
  padding-left: 0;
  padding-right: 0;
}
.input-sm {
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
select.input-sm {
  height: 30px;
  line-height: 30px;
}
textarea.input-sm,
select[multiple].input-sm {
  height: auto;
}
.form-group-sm .form-control {
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
.form-group-sm select.form-control {
  height: 30px;
  line-height: 30px;
}
.form-group-sm textarea.form-control,
.form-group-sm select[multiple].form-control {
  height: auto;
}
.form-group-sm .form-control-static {
  height: 30px;
  min-height: 30px;
  padding: 6px 10px;
  font-size: 12px;
  line-height: 1.5;
}
.input-lg {
  height: 45px;
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
select.input-lg {
  height: 45px;
  line-height: 45px;
}
textarea.input-lg,
select[multiple].input-lg {
  height: auto;
}
.form-group-lg .form-control {
  height: 45px;
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
.form-group-lg select.form-control {
  height: 45px;
  line-height: 45px;
}
.form-group-lg textarea.form-control,
.form-group-lg select[multiple].form-control {
  height: auto;
}
.form-group-lg .form-control-static {
  height: 45px;
  min-height: 35px;
  padding: 11px 16px;
  font-size: 17px;
  line-height: 1.3333333;
}
.has-feedback {
  position: relative;
}
.has-feedback .form-control {
  padding-right: 40px;
}
.form-control-feedback {
  position: absolute;
  top: 0;
  right: 0;
  z-index: 2;
  display: block;
  width: 32px;
  height: 32px;
  line-height: 32px;
  text-align: center;
  pointer-events: none;
}
.input-lg + .form-control-feedback,
.input-group-lg + .form-control-feedback,
.form-group-lg .form-control + .form-control-feedback {
  width: 45px;
  height: 45px;
  line-height: 45px;
}
.input-sm + .form-control-feedback,
.input-group-sm + .form-control-feedback,
.form-group-sm .form-control + .form-control-feedback {
  width: 30px;
  height: 30px;
  line-height: 30px;
}
.has-success .help-block,
.has-success .control-label,
.has-success .radio,
.has-success .checkbox,
.has-success .radio-inline,
.has-success .checkbox-inline,
.has-success.radio label,
.has-success.checkbox label,
.has-success.radio-inline label,
.has-success.checkbox-inline label {
  color: #3c763d;
}
.has-success .form-control {
  border-color: #3c763d;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
}
.has-success .form-control:focus {
  border-color: #2b542c;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #67b168;
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #67b168;
}
.has-success .input-group-addon {
  color: #3c763d;
  border-color: #3c763d;
  background-color: #dff0d8;
}
.has-success .form-control-feedback {
  color: #3c763d;
}
.has-warning .help-block,
.has-warning .control-label,
.has-warning .radio,
.has-warning .checkbox,
.has-warning .radio-inline,
.has-warning .checkbox-inline,
.has-warning.radio label,
.has-warning.checkbox label,
.has-warning.radio-inline label,
.has-warning.checkbox-inline label {
  color: #8a6d3b;
}
.has-warning .form-control {
  border-color: #8a6d3b;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
}
.has-warning .form-control:focus {
  border-color: #66512c;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #c0a16b;
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #c0a16b;
}
.has-warning .input-group-addon {
  color: #8a6d3b;
  border-color: #8a6d3b;
  background-color: #fcf8e3;
}
.has-warning .form-control-feedback {
  color: #8a6d3b;
}
.has-error .help-block,
.has-error .control-label,
.has-error .radio,
.has-error .checkbox,
.has-error .radio-inline,
.has-error .checkbox-inline,
.has-error.radio label,
.has-error.checkbox label,
.has-error.radio-inline label,
.has-error.checkbox-inline label {
  color: #a94442;
}
.has-error .form-control {
  border-color: #a94442;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
}
.has-error .form-control:focus {
  border-color: #843534;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #ce8483;
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #ce8483;
}
.has-error .input-group-addon {
  color: #a94442;
  border-color: #a94442;
  background-color: #f2dede;
}
.has-error .form-control-feedback {
  color: #a94442;
}
.has-feedback label ~ .form-control-feedback {
  top: 23px;
}
.has-feedback label.sr-only ~ .form-control-feedback {
  top: 0;
}
.help-block {
  display: block;
  margin-top: 5px;
  margin-bottom: 10px;
  color: #404040;
}
@media (min-width: 768px) {
  .form-inline .form-group {
    display: inline-block;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .form-inline .form-control {
    display: inline-block;
    width: auto;
    vertical-align: middle;
  }
  .form-inline .form-control-static {
    display: inline-block;
  }
  .form-inline .input-group {
    display: inline-table;
    vertical-align: middle;
  }
  .form-inline .input-group .input-group-addon,
  .form-inline .input-group .input-group-btn,
  .form-inline .input-group .form-control {
    width: auto;
  }
  .form-inline .input-group > .form-control {
    width: 100%;
  }
  .form-inline .control-label {
    margin-bottom: 0;
    vertical-align: middle;
  }
  .form-inline .radio,
  .form-inline .checkbox {
    display: inline-block;
    margin-top: 0;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .form-inline .radio label,
  .form-inline .checkbox label {
    padding-left: 0;
  }
  .form-inline .radio input[type="radio"],
  .form-inline .checkbox input[type="checkbox"] {
    position: relative;
    margin-left: 0;
  }
  .form-inline .has-feedback .form-control-feedback {
    top: 0;
  }
}
.form-horizontal .radio,
.form-horizontal .checkbox,
.form-horizontal .radio-inline,
.form-horizontal .checkbox-inline {
  margin-top: 0;
  margin-bottom: 0;
  padding-top: 7px;
}
.form-horizontal .radio,
.form-horizontal .checkbox {
  min-height: 25px;
}
.form-horizontal .form-group {
  margin-left: 0px;
  margin-right: 0px;
}
@media (min-width: 768px) {
  .form-horizontal .control-label {
    text-align: right;
    margin-bottom: 0;
    padding-top: 7px;
  }
}
.form-horizontal .has-feedback .form-control-feedback {
  right: 0px;
}
@media (min-width: 768px) {
  .form-horizontal .form-group-lg .control-label {
    padding-top: 11px;
    font-size: 17px;
  }
}
@media (min-width: 768px) {
  .form-horizontal .form-group-sm .control-label {
    padding-top: 6px;
    font-size: 12px;
  }
}
.btn {
  display: inline-block;
  margin-bottom: 0;
  font-weight: normal;
  text-align: center;
  vertical-align: middle;
  touch-action: manipulation;
  cursor: pointer;
  background-image: none;
  border: 1px solid transparent;
  white-space: nowrap;
  padding: 6px 12px;
  font-size: 13px;
  line-height: 1.42857143;
  border-radius: 2px;
  -webkit-user-select: none;
  -moz-user-select: none;
  -ms-user-select: none;
  user-select: none;
}
.btn:focus,
.btn:active:focus,
.btn.active:focus,
.btn.focus,
.btn:active.focus,
.btn.active.focus {
  outline: 5px auto -webkit-focus-ring-color;
  outline-offset: -2px;
}
.btn:hover,
.btn:focus,
.btn.focus {
  color: #333;
  text-decoration: none;
}
.btn:active,
.btn.active {
  outline: 0;
  background-image: none;
  -webkit-box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
  box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
}
.btn.disabled,
.btn[disabled],
fieldset[disabled] .btn {
  cursor: not-allowed;
  opacity: 0.65;
  filter: alpha(opacity=65);
  -webkit-box-shadow: none;
  box-shadow: none;
}
a.btn.disabled,
fieldset[disabled] a.btn {
  pointer-events: none;
}
.btn-default {
  color: #333;
  background-color: #fff;
  border-color: #ccc;
}
.btn-default:focus,
.btn-default.focus {
  color: #333;
  background-color: #e6e6e6;
  border-color: #8c8c8c;
}
.btn-default:hover {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.btn-default:active,
.btn-default.active,
.open > .dropdown-toggle.btn-default {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.btn-default:active:hover,
.btn-default.active:hover,
.open > .dropdown-toggle.btn-default:hover,
.btn-default:active:focus,
.btn-default.active:focus,
.open > .dropdown-toggle.btn-default:focus,
.btn-default:active.focus,
.btn-default.active.focus,
.open > .dropdown-toggle.btn-default.focus {
  color: #333;
  background-color: #d4d4d4;
  border-color: #8c8c8c;
}
.btn-default:active,
.btn-default.active,
.open > .dropdown-toggle.btn-default {
  background-image: none;
}
.btn-default.disabled:hover,
.btn-default[disabled]:hover,
fieldset[disabled] .btn-default:hover,
.btn-default.disabled:focus,
.btn-default[disabled]:focus,
fieldset[disabled] .btn-default:focus,
.btn-default.disabled.focus,
.btn-default[disabled].focus,
fieldset[disabled] .btn-default.focus {
  background-color: #fff;
  border-color: #ccc;
}
.btn-default .badge {
  color: #fff;
  background-color: #333;
}
.btn-primary {
  color: #fff;
  background-color: #337ab7;
  border-color: #2e6da4;
}
.btn-primary:focus,
.btn-primary.focus {
  color: #fff;
  background-color: #286090;
  border-color: #122b40;
}
.btn-primary:hover {
  color: #fff;
  background-color: #286090;
  border-color: #204d74;
}
.btn-primary:active,
.btn-primary.active,
.open > .dropdown-toggle.btn-primary {
  color: #fff;
  background-color: #286090;
  border-color: #204d74;
}
.btn-primary:active:hover,
.btn-primary.active:hover,
.open > .dropdown-toggle.btn-primary:hover,
.btn-primary:active:focus,
.btn-primary.active:focus,
.open > .dropdown-toggle.btn-primary:focus,
.btn-primary:active.focus,
.btn-primary.active.focus,
.open > .dropdown-toggle.btn-primary.focus {
  color: #fff;
  background-color: #204d74;
  border-color: #122b40;
}
.btn-primary:active,
.btn-primary.active,
.open > .dropdown-toggle.btn-primary {
  background-image: none;
}
.btn-primary.disabled:hover,
.btn-primary[disabled]:hover,
fieldset[disabled] .btn-primary:hover,
.btn-primary.disabled:focus,
.btn-primary[disabled]:focus,
fieldset[disabled] .btn-primary:focus,
.btn-primary.disabled.focus,
.btn-primary[disabled].focus,
fieldset[disabled] .btn-primary.focus {
  background-color: #337ab7;
  border-color: #2e6da4;
}
.btn-primary .badge {
  color: #337ab7;
  background-color: #fff;
}
.btn-success {
  color: #fff;
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.btn-success:focus,
.btn-success.focus {
  color: #fff;
  background-color: #449d44;
  border-color: #255625;
}
.btn-success:hover {
  color: #fff;
  background-color: #449d44;
  border-color: #398439;
}
.btn-success:active,
.btn-success.active,
.open > .dropdown-toggle.btn-success {
  color: #fff;
  background-color: #449d44;
  border-color: #398439;
}
.btn-success:active:hover,
.btn-success.active:hover,
.open > .dropdown-toggle.btn-success:hover,
.btn-success:active:focus,
.btn-success.active:focus,
.open > .dropdown-toggle.btn-success:focus,
.btn-success:active.focus,
.btn-success.active.focus,
.open > .dropdown-toggle.btn-success.focus {
  color: #fff;
  background-color: #398439;
  border-color: #255625;
}
.btn-success:active,
.btn-success.active,
.open > .dropdown-toggle.btn-success {
  background-image: none;
}
.btn-success.disabled:hover,
.btn-success[disabled]:hover,
fieldset[disabled] .btn-success:hover,
.btn-success.disabled:focus,
.btn-success[disabled]:focus,
fieldset[disabled] .btn-success:focus,
.btn-success.disabled.focus,
.btn-success[disabled].focus,
fieldset[disabled] .btn-success.focus {
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.btn-success .badge {
  color: #5cb85c;
  background-color: #fff;
}
.btn-info {
  color: #fff;
  background-color: #5bc0de;
  border-color: #46b8da;
}
.btn-info:focus,
.btn-info.focus {
  color: #fff;
  background-color: #31b0d5;
  border-color: #1b6d85;
}
.btn-info:hover {
  color: #fff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.btn-info:active,
.btn-info.active,
.open > .dropdown-toggle.btn-info {
  color: #fff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.btn-info:active:hover,
.btn-info.active:hover,
.open > .dropdown-toggle.btn-info:hover,
.btn-info:active:focus,
.btn-info.active:focus,
.open > .dropdown-toggle.btn-info:focus,
.btn-info:active.focus,
.btn-info.active.focus,
.open > .dropdown-toggle.btn-info.focus {
  color: #fff;
  background-color: #269abc;
  border-color: #1b6d85;
}
.btn-info:active,
.btn-info.active,
.open > .dropdown-toggle.btn-info {
  background-image: none;
}
.btn-info.disabled:hover,
.btn-info[disabled]:hover,
fieldset[disabled] .btn-info:hover,
.btn-info.disabled:focus,
.btn-info[disabled]:focus,
fieldset[disabled] .btn-info:focus,
.btn-info.disabled.focus,
.btn-info[disabled].focus,
fieldset[disabled] .btn-info.focus {
  background-color: #5bc0de;
  border-color: #46b8da;
}
.btn-info .badge {
  color: #5bc0de;
  background-color: #fff;
}
.btn-warning {
  color: #fff;
  background-color: #f0ad4e;
  border-color: #eea236;
}
.btn-warning:focus,
.btn-warning.focus {
  color: #fff;
  background-color: #ec971f;
  border-color: #985f0d;
}
.btn-warning:hover {
  color: #fff;
  background-color: #ec971f;
  border-color: #d58512;
}
.btn-warning:active,
.btn-warning.active,
.open > .dropdown-toggle.btn-warning {
  color: #fff;
  background-color: #ec971f;
  border-color: #d58512;
}
.btn-warning:active:hover,
.btn-warning.active:hover,
.open > .dropdown-toggle.btn-warning:hover,
.btn-warning:active:focus,
.btn-warning.active:focus,
.open > .dropdown-toggle.btn-warning:focus,
.btn-warning:active.focus,
.btn-warning.active.focus,
.open > .dropdown-toggle.btn-warning.focus {
  color: #fff;
  background-color: #d58512;
  border-color: #985f0d;
}
.btn-warning:active,
.btn-warning.active,
.open > .dropdown-toggle.btn-warning {
  background-image: none;
}
.btn-warning.disabled:hover,
.btn-warning[disabled]:hover,
fieldset[disabled] .btn-warning:hover,
.btn-warning.disabled:focus,
.btn-warning[disabled]:focus,
fieldset[disabled] .btn-warning:focus,
.btn-warning.disabled.focus,
.btn-warning[disabled].focus,
fieldset[disabled] .btn-warning.focus {
  background-color: #f0ad4e;
  border-color: #eea236;
}
.btn-warning .badge {
  color: #f0ad4e;
  background-color: #fff;
}
.btn-danger {
  color: #fff;
  background-color: #d9534f;
  border-color: #d43f3a;
}
.btn-danger:focus,
.btn-danger.focus {
  color: #fff;
  background-color: #c9302c;
  border-color: #761c19;
}
.btn-danger:hover {
  color: #fff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.btn-danger:active,
.btn-danger.active,
.open > .dropdown-toggle.btn-danger {
  color: #fff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.btn-danger:active:hover,
.btn-danger.active:hover,
.open > .dropdown-toggle.btn-danger:hover,
.btn-danger:active:focus,
.btn-danger.active:focus,
.open > .dropdown-toggle.btn-danger:focus,
.btn-danger:active.focus,
.btn-danger.active.focus,
.open > .dropdown-toggle.btn-danger.focus {
  color: #fff;
  background-color: #ac2925;
  border-color: #761c19;
}
.btn-danger:active,
.btn-danger.active,
.open > .dropdown-toggle.btn-danger {
  background-image: none;
}
.btn-danger.disabled:hover,
.btn-danger[disabled]:hover,
fieldset[disabled] .btn-danger:hover,
.btn-danger.disabled:focus,
.btn-danger[disabled]:focus,
fieldset[disabled] .btn-danger:focus,
.btn-danger.disabled.focus,
.btn-danger[disabled].focus,
fieldset[disabled] .btn-danger.focus {
  background-color: #d9534f;
  border-color: #d43f3a;
}
.btn-danger .badge {
  color: #d9534f;
  background-color: #fff;
}
.btn-link {
  color: #337ab7;
  font-weight: normal;
  border-radius: 0;
}
.btn-link,
.btn-link:active,
.btn-link.active,
.btn-link[disabled],
fieldset[disabled] .btn-link {
  background-color: transparent;
  -webkit-box-shadow: none;
  box-shadow: none;
}
.btn-link,
.btn-link:hover,
.btn-link:focus,
.btn-link:active {
  border-color: transparent;
}
.btn-link:hover,
.btn-link:focus {
  color: #23527c;
  text-decoration: underline;
  background-color: transparent;
}
.btn-link[disabled]:hover,
fieldset[disabled] .btn-link:hover,
.btn-link[disabled]:focus,
fieldset[disabled] .btn-link:focus {
  color: #777777;
  text-decoration: none;
}
.btn-lg,
.btn-group-lg > .btn {
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
.btn-sm,
.btn-group-sm > .btn {
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
.btn-xs,
.btn-group-xs > .btn {
  padding: 1px 5px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
.btn-block {
  display: block;
  width: 100%;
}
.btn-block + .btn-block {
  margin-top: 5px;
}
input[type="submit"].btn-block,
input[type="reset"].btn-block,
input[type="button"].btn-block {
  width: 100%;
}
.fade {
  opacity: 0;
  -webkit-transition: opacity 0.15s linear;
  -o-transition: opacity 0.15s linear;
  transition: opacity 0.15s linear;
}
.fade.in {
  opacity: 1;
}
.collapse {
  display: none;
}
.collapse.in {
  display: block;
}
tr.collapse.in {
  display: table-row;
}
tbody.collapse.in {
  display: table-row-group;
}
.collapsing {
  position: relative;
  height: 0;
  overflow: hidden;
  -webkit-transition-property: height, visibility;
  transition-property: height, visibility;
  -webkit-transition-duration: 0.35s;
  transition-duration: 0.35s;
  -webkit-transition-timing-function: ease;
  transition-timing-function: ease;
}
.caret {
  display: inline-block;
  width: 0;
  height: 0;
  margin-left: 2px;
  vertical-align: middle;
  border-top: 4px dashed;
  border-top: 4px solid \9;
  border-right: 4px solid transparent;
  border-left: 4px solid transparent;
}
.dropup,
.dropdown {
  position: relative;
}
.dropdown-toggle:focus {
  outline: 0;
}
.dropdown-menu {
  position: absolute;
  top: 100%;
  left: 0;
  z-index: 1000;
  display: none;
  float: left;
  min-width: 160px;
  padding: 5px 0;
  margin: 2px 0 0;
  list-style: none;
  font-size: 13px;
  text-align: left;
  background-color: #fff;
  border: 1px solid #ccc;
  border: 1px solid rgba(0, 0, 0, 0.15);
  border-radius: 2px;
  -webkit-box-shadow: 0 6px 12px rgba(0, 0, 0, 0.175);
  box-shadow: 0 6px 12px rgba(0, 0, 0, 0.175);
  background-clip: padding-box;
}
.dropdown-menu.pull-right {
  right: 0;
  left: auto;
}
.dropdown-menu .divider {
  height: 1px;
  margin: 8px 0;
  overflow: hidden;
  background-color: #e5e5e5;
}
.dropdown-menu > li > a {
  display: block;
  padding: 3px 20px;
  clear: both;
  font-weight: normal;
  line-height: 1.42857143;
  color: #333333;
  white-space: nowrap;
}
.dropdown-menu > li > a:hover,
.dropdown-menu > li > a:focus {
  text-decoration: none;
  color: #262626;
  background-color: #f5f5f5;
}
.dropdown-menu > .active > a,
.dropdown-menu > .active > a:hover,
.dropdown-menu > .active > a:focus {
  color: #fff;
  text-decoration: none;
  outline: 0;
  background-color: #337ab7;
}
.dropdown-menu > .disabled > a,
.dropdown-menu > .disabled > a:hover,
.dropdown-menu > .disabled > a:focus {
  color: #777777;
}
.dropdown-menu > .disabled > a:hover,
.dropdown-menu > .disabled > a:focus {
  text-decoration: none;
  background-color: transparent;
  background-image: none;
  filter: progid:DXImageTransform.Microsoft.gradient(enabled = false);
  cursor: not-allowed;
}
.open > .dropdown-menu {
  display: block;
}
.open > a {
  outline: 0;
}
.dropdown-menu-right {
  left: auto;
  right: 0;
}
.dropdown-menu-left {
  left: 0;
  right: auto;
}
.dropdown-header {
  display: block;
  padding: 3px 20px;
  font-size: 12px;
  line-height: 1.42857143;
  color: #777777;
  white-space: nowrap;
}
.dropdown-backdrop {
  position: fixed;
  left: 0;
  right: 0;
  bottom: 0;
  top: 0;
  z-index: 990;
}
.pull-right > .dropdown-menu {
  right: 0;
  left: auto;
}
.dropup .caret,
.navbar-fixed-bottom .dropdown .caret {
  border-top: 0;
  border-bottom: 4px dashed;
  border-bottom: 4px solid \9;
  content: "";
}
.dropup .dropdown-menu,
.navbar-fixed-bottom .dropdown .dropdown-menu {
  top: auto;
  bottom: 100%;
  margin-bottom: 2px;
}
@media (min-width: 541px) {
  .navbar-right .dropdown-menu {
    left: auto;
    right: 0;
  }
  .navbar-right .dropdown-menu-left {
    left: 0;
    right: auto;
  }
}
.btn-group,
.btn-group-vertical {
  position: relative;
  display: inline-block;
  vertical-align: middle;
}
.btn-group > .btn,
.btn-group-vertical > .btn {
  position: relative;
  float: left;
}
.btn-group > .btn:hover,
.btn-group-vertical > .btn:hover,
.btn-group > .btn:focus,
.btn-group-vertical > .btn:focus,
.btn-group > .btn:active,
.btn-group-vertical > .btn:active,
.btn-group > .btn.active,
.btn-group-vertical > .btn.active {
  z-index: 2;
}
.btn-group .btn + .btn,
.btn-group .btn + .btn-group,
.btn-group .btn-group + .btn,
.btn-group .btn-group + .btn-group {
  margin-left: -1px;
}
.btn-toolbar {
  margin-left: -5px;
}
.btn-toolbar .btn,
.btn-toolbar .btn-group,
.btn-toolbar .input-group {
  float: left;
}
.btn-toolbar > .btn,
.btn-toolbar > .btn-group,
.btn-toolbar > .input-group {
  margin-left: 5px;
}
.btn-group > .btn:not(:first-child):not(:last-child):not(.dropdown-toggle) {
  border-radius: 0;
}
.btn-group > .btn:first-child {
  margin-left: 0;
}
.btn-group > .btn:first-child:not(:last-child):not(.dropdown-toggle) {
  border-bottom-right-radius: 0;
  border-top-right-radius: 0;
}
.btn-group > .btn:last-child:not(:first-child),
.btn-group > .dropdown-toggle:not(:first-child) {
  border-bottom-left-radius: 0;
  border-top-left-radius: 0;
}
.btn-group > .btn-group {
  float: left;
}
.btn-group > .btn-group:not(:first-child):not(:last-child) > .btn {
  border-radius: 0;
}
.btn-group > .btn-group:first-child:not(:last-child) > .btn:last-child,
.btn-group > .btn-group:first-child:not(:last-child) > .dropdown-toggle {
  border-bottom-right-radius: 0;
  border-top-right-radius: 0;
}
.btn-group > .btn-group:last-child:not(:first-child) > .btn:first-child {
  border-bottom-left-radius: 0;
  border-top-left-radius: 0;
}
.btn-group .dropdown-toggle:active,
.btn-group.open .dropdown-toggle {
  outline: 0;
}
.btn-group > .btn + .dropdown-toggle {
  padding-left: 8px;
  padding-right: 8px;
}
.btn-group > .btn-lg + .dropdown-toggle {
  padding-left: 12px;
  padding-right: 12px;
}
.btn-group.open .dropdown-toggle {
  -webkit-box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
  box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
}
.btn-group.open .dropdown-toggle.btn-link {
  -webkit-box-shadow: none;
  box-shadow: none;
}
.btn .caret {
  margin-left: 0;
}
.btn-lg .caret {
  border-width: 5px 5px 0;
  border-bottom-width: 0;
}
.dropup .btn-lg .caret {
  border-width: 0 5px 5px;
}
.btn-group-vertical > .btn,
.btn-group-vertical > .btn-group,
.btn-group-vertical > .btn-group > .btn {
  display: block;
  float: none;
  width: 100%;
  max-width: 100%;
}
.btn-group-vertical > .btn-group > .btn {
  float: none;
}
.btn-group-vertical > .btn + .btn,
.btn-group-vertical > .btn + .btn-group,
.btn-group-vertical > .btn-group + .btn,
.btn-group-vertical > .btn-group + .btn-group {
  margin-top: -1px;
  margin-left: 0;
}
.btn-group-vertical > .btn:not(:first-child):not(:last-child) {
  border-radius: 0;
}
.btn-group-vertical > .btn:first-child:not(:last-child) {
  border-top-right-radius: 2px;
  border-top-left-radius: 2px;
  border-bottom-right-radius: 0;
  border-bottom-left-radius: 0;
}
.btn-group-vertical > .btn:last-child:not(:first-child) {
  border-top-right-radius: 0;
  border-top-left-radius: 0;
  border-bottom-right-radius: 2px;
  border-bottom-left-radius: 2px;
}
.btn-group-vertical > .btn-group:not(:first-child):not(:last-child) > .btn {
  border-radius: 0;
}
.btn-group-vertical > .btn-group:first-child:not(:last-child) > .btn:last-child,
.btn-group-vertical > .btn-group:first-child:not(:last-child) > .dropdown-toggle {
  border-bottom-right-radius: 0;
  border-bottom-left-radius: 0;
}
.btn-group-vertical > .btn-group:last-child:not(:first-child) > .btn:first-child {
  border-top-right-radius: 0;
  border-top-left-radius: 0;
}
.btn-group-justified {
  display: table;
  width: 100%;
  table-layout: fixed;
  border-collapse: separate;
}
.btn-group-justified > .btn,
.btn-group-justified > .btn-group {
  float: none;
  display: table-cell;
  width: 1%;
}
.btn-group-justified > .btn-group .btn {
  width: 100%;
}
.btn-group-justified > .btn-group .dropdown-menu {
  left: auto;
}
[data-toggle="buttons"] > .btn input[type="radio"],
[data-toggle="buttons"] > .btn-group > .btn input[type="radio"],
[data-toggle="buttons"] > .btn input[type="checkbox"],
[data-toggle="buttons"] > .btn-group > .btn input[type="checkbox"] {
  position: absolute;
  clip: rect(0, 0, 0, 0);
  pointer-events: none;
}
.input-group {
  position: relative;
  display: table;
  border-collapse: separate;
}
.input-group[class*="col-"] {
  float: none;
  padding-left: 0;
  padding-right: 0;
}
.input-group .form-control {
  position: relative;
  z-index: 2;
  float: left;
  width: 100%;
  margin-bottom: 0;
}
.input-group .form-control:focus {
  z-index: 3;
}
.input-group-lg > .form-control,
.input-group-lg > .input-group-addon,
.input-group-lg > .input-group-btn > .btn {
  height: 45px;
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
select.input-group-lg > .form-control,
select.input-group-lg > .input-group-addon,
select.input-group-lg > .input-group-btn > .btn {
  height: 45px;
  line-height: 45px;
}
textarea.input-group-lg > .form-control,
textarea.input-group-lg > .input-group-addon,
textarea.input-group-lg > .input-group-btn > .btn,
select[multiple].input-group-lg > .form-control,
select[multiple].input-group-lg > .input-group-addon,
select[multiple].input-group-lg > .input-group-btn > .btn {
  height: auto;
}
.input-group-sm > .form-control,
.input-group-sm > .input-group-addon,
.input-group-sm > .input-group-btn > .btn {
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
select.input-group-sm > .form-control,
select.input-group-sm > .input-group-addon,
select.input-group-sm > .input-group-btn > .btn {
  height: 30px;
  line-height: 30px;
}
textarea.input-group-sm > .form-control,
textarea.input-group-sm > .input-group-addon,
textarea.input-group-sm > .input-group-btn > .btn,
select[multiple].input-group-sm > .form-control,
select[multiple].input-group-sm > .input-group-addon,
select[multiple].input-group-sm > .input-group-btn > .btn {
  height: auto;
}
.input-group-addon,
.input-group-btn,
.input-group .form-control {
  display: table-cell;
}
.input-group-addon:not(:first-child):not(:last-child),
.input-group-btn:not(:first-child):not(:last-child),
.input-group .form-control:not(:first-child):not(:last-child) {
  border-radius: 0;
}
.input-group-addon,
.input-group-btn {
  width: 1%;
  white-space: nowrap;
  vertical-align: middle;
}
.input-group-addon {
  padding: 6px 12px;
  font-size: 13px;
  font-weight: normal;
  line-height: 1;
  color: #555555;
  text-align: center;
  background-color: #eeeeee;
  border: 1px solid #ccc;
  border-radius: 2px;
}
.input-group-addon.input-sm {
  padding: 5px 10px;
  font-size: 12px;
  border-radius: 1px;
}
.input-group-addon.input-lg {
  padding: 10px 16px;
  font-size: 17px;
  border-radius: 3px;
}
.input-group-addon input[type="radio"],
.input-group-addon input[type="checkbox"] {
  margin-top: 0;
}
.input-group .form-control:first-child,
.input-group-addon:first-child,
.input-group-btn:first-child > .btn,
.input-group-btn:first-child > .btn-group > .btn,
.input-group-btn:first-child > .dropdown-toggle,
.input-group-btn:last-child > .btn:not(:last-child):not(.dropdown-toggle),
.input-group-btn:last-child > .btn-group:not(:last-child) > .btn {
  border-bottom-right-radius: 0;
  border-top-right-radius: 0;
}
.input-group-addon:first-child {
  border-right: 0;
}
.input-group .form-control:last-child,
.input-group-addon:last-child,
.input-group-btn:last-child > .btn,
.input-group-btn:last-child > .btn-group > .btn,
.input-group-btn:last-child > .dropdown-toggle,
.input-group-btn:first-child > .btn:not(:first-child),
.input-group-btn:first-child > .btn-group:not(:first-child) > .btn {
  border-bottom-left-radius: 0;
  border-top-left-radius: 0;
}
.input-group-addon:last-child {
  border-left: 0;
}
.input-group-btn {
  position: relative;
  font-size: 0;
  white-space: nowrap;
}
.input-group-btn > .btn {
  position: relative;
}
.input-group-btn > .btn + .btn {
  margin-left: -1px;
}
.input-group-btn > .btn:hover,
.input-group-btn > .btn:focus,
.input-group-btn > .btn:active {
  z-index: 2;
}
.input-group-btn:first-child > .btn,
.input-group-btn:first-child > .btn-group {
  margin-right: -1px;
}
.input-group-btn:last-child > .btn,
.input-group-btn:last-child > .btn-group {
  z-index: 2;
  margin-left: -1px;
}
.nav {
  margin-bottom: 0;
  padding-left: 0;
  list-style: none;
}
.nav > li {
  position: relative;
  display: block;
}
.nav > li > a {
  position: relative;
  display: block;
  padding: 10px 15px;
}
.nav > li > a:hover,
.nav > li > a:focus {
  text-decoration: none;
  background-color: #eeeeee;
}
.nav > li.disabled > a {
  color: #777777;
}
.nav > li.disabled > a:hover,
.nav > li.disabled > a:focus {
  color: #777777;
  text-decoration: none;
  background-color: transparent;
  cursor: not-allowed;
}
.nav .open > a,
.nav .open > a:hover,
.nav .open > a:focus {
  background-color: #eeeeee;
  border-color: #337ab7;
}
.nav .nav-divider {
  height: 1px;
  margin: 8px 0;
  overflow: hidden;
  background-color: #e5e5e5;
}
.nav > li > a > img {
  max-width: none;
}
.nav-tabs {
  border-bottom: 1px solid #ddd;
}
.nav-tabs > li {
  float: left;
  margin-bottom: -1px;
}
.nav-tabs > li > a {
  margin-right: 2px;
  line-height: 1.42857143;
  border: 1px solid transparent;
  border-radius: 2px 2px 0 0;
}
.nav-tabs > li > a:hover {
  border-color: #eeeeee #eeeeee #ddd;
}
.nav-tabs > li.active > a,
.nav-tabs > li.active > a:hover,
.nav-tabs > li.active > a:focus {
  color: #555555;
  background-color: #fff;
  border: 1px solid #ddd;
  border-bottom-color: transparent;
  cursor: default;
}
.nav-tabs.nav-justified {
  width: 100%;
  border-bottom: 0;
}
.nav-tabs.nav-justified > li {
  float: none;
}
.nav-tabs.nav-justified > li > a {
  text-align: center;
  margin-bottom: 5px;
}
.nav-tabs.nav-justified > .dropdown .dropdown-menu {
  top: auto;
  left: auto;
}
@media (min-width: 768px) {
  .nav-tabs.nav-justified > li {
    display: table-cell;
    width: 1%;
  }
  .nav-tabs.nav-justified > li > a {
    margin-bottom: 0;
  }
}
.nav-tabs.nav-justified > li > a {
  margin-right: 0;
  border-radius: 2px;
}
.nav-tabs.nav-justified > .active > a,
.nav-tabs.nav-justified > .active > a:hover,
.nav-tabs.nav-justified > .active > a:focus {
  border: 1px solid #ddd;
}
@media (min-width: 768px) {
  .nav-tabs.nav-justified > li > a {
    border-bottom: 1px solid #ddd;
    border-radius: 2px 2px 0 0;
  }
  .nav-tabs.nav-justified > .active > a,
  .nav-tabs.nav-justified > .active > a:hover,
  .nav-tabs.nav-justified > .active > a:focus {
    border-bottom-color: #fff;
  }
}
.nav-pills > li {
  float: left;
}
.nav-pills > li > a {
  border-radius: 2px;
}
.nav-pills > li + li {
  margin-left: 2px;
}
.nav-pills > li.active > a,
.nav-pills > li.active > a:hover,
.nav-pills > li.active > a:focus {
  color: #fff;
  background-color: #337ab7;
}
.nav-stacked > li {
  float: none;
}
.nav-stacked > li + li {
  margin-top: 2px;
  margin-left: 0;
}
.nav-justified {
  width: 100%;
}
.nav-justified > li {
  float: none;
}
.nav-justified > li > a {
  text-align: center;
  margin-bottom: 5px;
}
.nav-justified > .dropdown .dropdown-menu {
  top: auto;
  left: auto;
}
@media (min-width: 768px) {
  .nav-justified > li {
    display: table-cell;
    width: 1%;
  }
  .nav-justified > li > a {
    margin-bottom: 0;
  }
}
.nav-tabs-justified {
  border-bottom: 0;
}
.nav-tabs-justified > li > a {
  margin-right: 0;
  border-radius: 2px;
}
.nav-tabs-justified > .active > a,
.nav-tabs-justified > .active > a:hover,
.nav-tabs-justified > .active > a:focus {
  border: 1px solid #ddd;
}
@media (min-width: 768px) {
  .nav-tabs-justified > li > a {
    border-bottom: 1px solid #ddd;
    border-radius: 2px 2px 0 0;
  }
  .nav-tabs-justified > .active > a,
  .nav-tabs-justified > .active > a:hover,
  .nav-tabs-justified > .active > a:focus {
    border-bottom-color: #fff;
  }
}
.tab-content > .tab-pane {
  display: none;
}
.tab-content > .active {
  display: block;
}
.nav-tabs .dropdown-menu {
  margin-top: -1px;
  border-top-right-radius: 0;
  border-top-left-radius: 0;
}
.navbar {
  position: relative;
  min-height: 30px;
  margin-bottom: 18px;
  border: 1px solid transparent;
}
@media (min-width: 541px) {
  .navbar {
    border-radius: 2px;
  }
}
@media (min-width: 541px) {
  .navbar-header {
    float: left;
  }
}
.navbar-collapse {
  overflow-x: visible;
  padding-right: 0px;
  padding-left: 0px;
  border-top: 1px solid transparent;
  box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1);
  -webkit-overflow-scrolling: touch;
}
.navbar-collapse.in {
  overflow-y: auto;
}
@media (min-width: 541px) {
  .navbar-collapse {
    width: auto;
    border-top: 0;
    box-shadow: none;
  }
  .navbar-collapse.collapse {
    display: block !important;
    height: auto !important;
    padding-bottom: 0;
    overflow: visible !important;
  }
  .navbar-collapse.in {
    overflow-y: visible;
  }
  .navbar-fixed-top .navbar-collapse,
  .navbar-static-top .navbar-collapse,
  .navbar-fixed-bottom .navbar-collapse {
    padding-left: 0;
    padding-right: 0;
  }
}
.navbar-fixed-top .navbar-collapse,
.navbar-fixed-bottom .navbar-collapse {
  max-height: 340px;
}
@media (max-device-width: 540px) and (orientation: landscape) {
  .navbar-fixed-top .navbar-collapse,
  .navbar-fixed-bottom .navbar-collapse {
    max-height: 200px;
  }
}
.container > .navbar-header,
.container-fluid > .navbar-header,
.container > .navbar-collapse,
.container-fluid > .navbar-collapse {
  margin-right: 0px;
  margin-left: 0px;
}
@media (min-width: 541px) {
  .container > .navbar-header,
  .container-fluid > .navbar-header,
  .container > .navbar-collapse,
  .container-fluid > .navbar-collapse {
    margin-right: 0;
    margin-left: 0;
  }
}
.navbar-static-top {
  z-index: 1000;
  border-width: 0 0 1px;
}
@media (min-width: 541px) {
  .navbar-static-top {
    border-radius: 0;
  }
}
.navbar-fixed-top,
.navbar-fixed-bottom {
  position: fixed;
  right: 0;
  left: 0;
  z-index: 1030;
}
@media (min-width: 541px) {
  .navbar-fixed-top,
  .navbar-fixed-bottom {
    border-radius: 0;
  }
}
.navbar-fixed-top {
  top: 0;
  border-width: 0 0 1px;
}
.navbar-fixed-bottom {
  bottom: 0;
  margin-bottom: 0;
  border-width: 1px 0 0;
}
.navbar-brand {
  float: left;
  padding: 6px 0px;
  font-size: 17px;
  line-height: 18px;
  height: 30px;
}
.navbar-brand:hover,
.navbar-brand:focus {
  text-decoration: none;
}
.navbar-brand > img {
  display: block;
}
@media (min-width: 541px) {
  .navbar > .container .navbar-brand,
  .navbar > .container-fluid .navbar-brand {
    margin-left: 0px;
  }
}
.navbar-toggle {
  position: relative;
  float: right;
  margin-right: 0px;
  padding: 9px 10px;
  margin-top: -2px;
  margin-bottom: -2px;
  background-color: transparent;
  background-image: none;
  border: 1px solid transparent;
  border-radius: 2px;
}
.navbar-toggle:focus {
  outline: 0;
}
.navbar-toggle .icon-bar {
  display: block;
  width: 22px;
  height: 2px;
  border-radius: 1px;
}
.navbar-toggle .icon-bar + .icon-bar {
  margin-top: 4px;
}
@media (min-width: 541px) {
  .navbar-toggle {
    display: none;
  }
}
.navbar-nav {
  margin: 3px 0px;
}
.navbar-nav > li > a {
  padding-top: 10px;
  padding-bottom: 10px;
  line-height: 18px;
}
@media (max-width: 540px) {
  .navbar-nav .open .dropdown-menu {
    position: static;
    float: none;
    width: auto;
    margin-top: 0;
    background-color: transparent;
    border: 0;
    box-shadow: none;
  }
  .navbar-nav .open .dropdown-menu > li > a,
  .navbar-nav .open .dropdown-menu .dropdown-header {
    padding: 5px 15px 5px 25px;
  }
  .navbar-nav .open .dropdown-menu > li > a {
    line-height: 18px;
  }
  .navbar-nav .open .dropdown-menu > li > a:hover,
  .navbar-nav .open .dropdown-menu > li > a:focus {
    background-image: none;
  }
}
@media (min-width: 541px) {
  .navbar-nav {
    float: left;
    margin: 0;
  }
  .navbar-nav > li {
    float: left;
  }
  .navbar-nav > li > a {
    padding-top: 6px;
    padding-bottom: 6px;
  }
}
.navbar-form {
  margin-left: 0px;
  margin-right: 0px;
  padding: 10px 0px;
  border-top: 1px solid transparent;
  border-bottom: 1px solid transparent;
  -webkit-box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1), 0 1px 0 rgba(255, 255, 255, 0.1);
  box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1), 0 1px 0 rgba(255, 255, 255, 0.1);
  margin-top: -1px;
  margin-bottom: -1px;
}
@media (min-width: 768px) {
  .navbar-form .form-group {
    display: inline-block;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .navbar-form .form-control {
    display: inline-block;
    width: auto;
    vertical-align: middle;
  }
  .navbar-form .form-control-static {
    display: inline-block;
  }
  .navbar-form .input-group {
    display: inline-table;
    vertical-align: middle;
  }
  .navbar-form .input-group .input-group-addon,
  .navbar-form .input-group .input-group-btn,
  .navbar-form .input-group .form-control {
    width: auto;
  }
  .navbar-form .input-group > .form-control {
    width: 100%;
  }
  .navbar-form .control-label {
    margin-bottom: 0;
    vertical-align: middle;
  }
  .navbar-form .radio,
  .navbar-form .checkbox {
    display: inline-block;
    margin-top: 0;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .navbar-form .radio label,
  .navbar-form .checkbox label {
    padding-left: 0;
  }
  .navbar-form .radio input[type="radio"],
  .navbar-form .checkbox input[type="checkbox"] {
    position: relative;
    margin-left: 0;
  }
  .navbar-form .has-feedback .form-control-feedback {
    top: 0;
  }
}
@media (max-width: 540px) {
  .navbar-form .form-group {
    margin-bottom: 5px;
  }
  .navbar-form .form-group:last-child {
    margin-bottom: 0;
  }
}
@media (min-width: 541px) {
  .navbar-form {
    width: auto;
    border: 0;
    margin-left: 0;
    margin-right: 0;
    padding-top: 0;
    padding-bottom: 0;
    -webkit-box-shadow: none;
    box-shadow: none;
  }
}
.navbar-nav > li > .dropdown-menu {
  margin-top: 0;
  border-top-right-radius: 0;
  border-top-left-radius: 0;
}
.navbar-fixed-bottom .navbar-nav > li > .dropdown-menu {
  margin-bottom: 0;
  border-top-right-radius: 2px;
  border-top-left-radius: 2px;
  border-bottom-right-radius: 0;
  border-bottom-left-radius: 0;
}
.navbar-btn {
  margin-top: -1px;
  margin-bottom: -1px;
}
.navbar-btn.btn-sm {
  margin-top: 0px;
  margin-bottom: 0px;
}
.navbar-btn.btn-xs {
  margin-top: 4px;
  margin-bottom: 4px;
}
.navbar-text {
  margin-top: 6px;
  margin-bottom: 6px;
}
@media (min-width: 541px) {
  .navbar-text {
    float: left;
    margin-left: 0px;
    margin-right: 0px;
  }
}
@media (min-width: 541px) {
  .navbar-left {
    float: left !important;
    float: left;
  }
  .navbar-right {
    float: right !important;
    float: right;
    margin-right: 0px;
  }
  .navbar-right ~ .navbar-right {
    margin-right: 0;
  }
}
.navbar-default {
  background-color: #f8f8f8;
  border-color: #e7e7e7;
}
.navbar-default .navbar-brand {
  color: #777;
}
.navbar-default .navbar-brand:hover,
.navbar-default .navbar-brand:focus {
  color: #5e5e5e;
  background-color: transparent;
}
.navbar-default .navbar-text {
  color: #777;
}
.navbar-default .navbar-nav > li > a {
  color: #777;
}
.navbar-default .navbar-nav > li > a:hover,
.navbar-default .navbar-nav > li > a:focus {
  color: #333;
  background-color: transparent;
}
.navbar-default .navbar-nav > .active > a,
.navbar-default .navbar-nav > .active > a:hover,
.navbar-default .navbar-nav > .active > a:focus {
  color: #555;
  background-color: #e7e7e7;
}
.navbar-default .navbar-nav > .disabled > a,
.navbar-default .navbar-nav > .disabled > a:hover,
.navbar-default .navbar-nav > .disabled > a:focus {
  color: #ccc;
  background-color: transparent;
}
.navbar-default .navbar-toggle {
  border-color: #ddd;
}
.navbar-default .navbar-toggle:hover,
.navbar-default .navbar-toggle:focus {
  background-color: #ddd;
}
.navbar-default .navbar-toggle .icon-bar {
  background-color: #888;
}
.navbar-default .navbar-collapse,
.navbar-default .navbar-form {
  border-color: #e7e7e7;
}
.navbar-default .navbar-nav > .open > a,
.navbar-default .navbar-nav > .open > a:hover,
.navbar-default .navbar-nav > .open > a:focus {
  background-color: #e7e7e7;
  color: #555;
}
@media (max-width: 540px) {
  .navbar-default .navbar-nav .open .dropdown-menu > li > a {
    color: #777;
  }
  .navbar-default .navbar-nav .open .dropdown-menu > li > a:hover,
  .navbar-default .navbar-nav .open .dropdown-menu > li > a:focus {
    color: #333;
    background-color: transparent;
  }
  .navbar-default .navbar-nav .open .dropdown-menu > .active > a,
  .navbar-default .navbar-nav .open .dropdown-menu > .active > a:hover,
  .navbar-default .navbar-nav .open .dropdown-menu > .active > a:focus {
    color: #555;
    background-color: #e7e7e7;
  }
  .navbar-default .navbar-nav .open .dropdown-menu > .disabled > a,
  .navbar-default .navbar-nav .open .dropdown-menu > .disabled > a:hover,
  .navbar-default .navbar-nav .open .dropdown-menu > .disabled > a:focus {
    color: #ccc;
    background-color: transparent;
  }
}
.navbar-default .navbar-link {
  color: #777;
}
.navbar-default .navbar-link:hover {
  color: #333;
}
.navbar-default .btn-link {
  color: #777;
}
.navbar-default .btn-link:hover,
.navbar-default .btn-link:focus {
  color: #333;
}
.navbar-default .btn-link[disabled]:hover,
fieldset[disabled] .navbar-default .btn-link:hover,
.navbar-default .btn-link[disabled]:focus,
fieldset[disabled] .navbar-default .btn-link:focus {
  color: #ccc;
}
.navbar-inverse {
  background-color: #222;
  border-color: #080808;
}
.navbar-inverse .navbar-brand {
  color: #9d9d9d;
}
.navbar-inverse .navbar-brand:hover,
.navbar-inverse .navbar-brand:focus {
  color: #fff;
  background-color: transparent;
}
.navbar-inverse .navbar-text {
  color: #9d9d9d;
}
.navbar-inverse .navbar-nav > li > a {
  color: #9d9d9d;
}
.navbar-inverse .navbar-nav > li > a:hover,
.navbar-inverse .navbar-nav > li > a:focus {
  color: #fff;
  background-color: transparent;
}
.navbar-inverse .navbar-nav > .active > a,
.navbar-inverse .navbar-nav > .active > a:hover,
.navbar-inverse .navbar-nav > .active > a:focus {
  color: #fff;
  background-color: #080808;
}
.navbar-inverse .navbar-nav > .disabled > a,
.navbar-inverse .navbar-nav > .disabled > a:hover,
.navbar-inverse .navbar-nav > .disabled > a:focus {
  color: #444;
  background-color: transparent;
}
.navbar-inverse .navbar-toggle {
  border-color: #333;
}
.navbar-inverse .navbar-toggle:hover,
.navbar-inverse .navbar-toggle:focus {
  background-color: #333;
}
.navbar-inverse .navbar-toggle .icon-bar {
  background-color: #fff;
}
.navbar-inverse .navbar-collapse,
.navbar-inverse .navbar-form {
  border-color: #101010;
}
.navbar-inverse .navbar-nav > .open > a,
.navbar-inverse .navbar-nav > .open > a:hover,
.navbar-inverse .navbar-nav > .open > a:focus {
  background-color: #080808;
  color: #fff;
}
@media (max-width: 540px) {
  .navbar-inverse .navbar-nav .open .dropdown-menu > .dropdown-header {
    border-color: #080808;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu .divider {
    background-color: #080808;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > li > a {
    color: #9d9d9d;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > li > a:hover,
  .navbar-inverse .navbar-nav .open .dropdown-menu > li > a:focus {
    color: #fff;
    background-color: transparent;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > .active > a,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .active > a:hover,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .active > a:focus {
    color: #fff;
    background-color: #080808;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a:hover,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a:focus {
    color: #444;
    background-color: transparent;
  }
}
.navbar-inverse .navbar-link {
  color: #9d9d9d;
}
.navbar-inverse .navbar-link:hover {
  color: #fff;
}
.navbar-inverse .btn-link {
  color: #9d9d9d;
}
.navbar-inverse .btn-link:hover,
.navbar-inverse .btn-link:focus {
  color: #fff;
}
.navbar-inverse .btn-link[disabled]:hover,
fieldset[disabled] .navbar-inverse .btn-link:hover,
.navbar-inverse .btn-link[disabled]:focus,
fieldset[disabled] .navbar-inverse .btn-link:focus {
  color: #444;
}
.breadcrumb {
  padding: 8px 15px;
  margin-bottom: 18px;
  list-style: none;
  background-color: #f5f5f5;
  border-radius: 2px;
}
.breadcrumb > li {
  display: inline-block;
}
.breadcrumb > li + li:before {
  content: "/\00a0";
  padding: 0 5px;
  color: #5e5e5e;
}
.breadcrumb > .active {
  color: #777777;
}
.pagination {
  display: inline-block;
  padding-left: 0;
  margin: 18px 0;
  border-radius: 2px;
}
.pagination > li {
  display: inline;
}
.pagination > li > a,
.pagination > li > span {
  position: relative;
  float: left;
  padding: 6px 12px;
  line-height: 1.42857143;
  text-decoration: none;
  color: #337ab7;
  background-color: #fff;
  border: 1px solid #ddd;
  margin-left: -1px;
}
.pagination > li:first-child > a,
.pagination > li:first-child > span {
  margin-left: 0;
  border-bottom-left-radius: 2px;
  border-top-left-radius: 2px;
}
.pagination > li:last-child > a,
.pagination > li:last-child > span {
  border-bottom-right-radius: 2px;
  border-top-right-radius: 2px;
}
.pagination > li > a:hover,
.pagination > li > span:hover,
.pagination > li > a:focus,
.pagination > li > span:focus {
  z-index: 2;
  color: #23527c;
  background-color: #eeeeee;
  border-color: #ddd;
}
.pagination > .active > a,
.pagination > .active > span,
.pagination > .active > a:hover,
.pagination > .active > span:hover,
.pagination > .active > a:focus,
.pagination > .active > span:focus {
  z-index: 3;
  color: #fff;
  background-color: #337ab7;
  border-color: #337ab7;
  cursor: default;
}
.pagination > .disabled > span,
.pagination > .disabled > span:hover,
.pagination > .disabled > span:focus,
.pagination > .disabled > a,
.pagination > .disabled > a:hover,
.pagination > .disabled > a:focus {
  color: #777777;
  background-color: #fff;
  border-color: #ddd;
  cursor: not-allowed;
}
.pagination-lg > li > a,
.pagination-lg > li > span {
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
}
.pagination-lg > li:first-child > a,
.pagination-lg > li:first-child > span {
  border-bottom-left-radius: 3px;
  border-top-left-radius: 3px;
}
.pagination-lg > li:last-child > a,
.pagination-lg > li:last-child > span {
  border-bottom-right-radius: 3px;
  border-top-right-radius: 3px;
}
.pagination-sm > li > a,
.pagination-sm > li > span {
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
}
.pagination-sm > li:first-child > a,
.pagination-sm > li:first-child > span {
  border-bottom-left-radius: 1px;
  border-top-left-radius: 1px;
}
.pagination-sm > li:last-child > a,
.pagination-sm > li:last-child > span {
  border-bottom-right-radius: 1px;
  border-top-right-radius: 1px;
}
.pager {
  padding-left: 0;
  margin: 18px 0;
  list-style: none;
  text-align: center;
}
.pager li {
  display: inline;
}
.pager li > a,
.pager li > span {
  display: inline-block;
  padding: 5px 14px;
  background-color: #fff;
  border: 1px solid #ddd;
  border-radius: 15px;
}
.pager li > a:hover,
.pager li > a:focus {
  text-decoration: none;
  background-color: #eeeeee;
}
.pager .next > a,
.pager .next > span {
  float: right;
}
.pager .previous > a,
.pager .previous > span {
  float: left;
}
.pager .disabled > a,
.pager .disabled > a:hover,
.pager .disabled > a:focus,
.pager .disabled > span {
  color: #777777;
  background-color: #fff;
  cursor: not-allowed;
}
.label {
  display: inline;
  padding: .2em .6em .3em;
  font-size: 75%;
  font-weight: bold;
  line-height: 1;
  color: #fff;
  text-align: center;
  white-space: nowrap;
  vertical-align: baseline;
  border-radius: .25em;
}
a.label:hover,
a.label:focus {
  color: #fff;
  text-decoration: none;
  cursor: pointer;
}
.label:empty {
  display: none;
}
.btn .label {
  position: relative;
  top: -1px;
}
.label-default {
  background-color: #777777;
}
.label-default[href]:hover,
.label-default[href]:focus {
  background-color: #5e5e5e;
}
.label-primary {
  background-color: #337ab7;
}
.label-primary[href]:hover,
.label-primary[href]:focus {
  background-color: #286090;
}
.label-success {
  background-color: #5cb85c;
}
.label-success[href]:hover,
.label-success[href]:focus {
  background-color: #449d44;
}
.label-info {
  background-color: #5bc0de;
}
.label-info[href]:hover,
.label-info[href]:focus {
  background-color: #31b0d5;
}
.label-warning {
  background-color: #f0ad4e;
}
.label-warning[href]:hover,
.label-warning[href]:focus {
  background-color: #ec971f;
}
.label-danger {
  background-color: #d9534f;
}
.label-danger[href]:hover,
.label-danger[href]:focus {
  background-color: #c9302c;
}
.badge {
  display: inline-block;
  min-width: 10px;
  padding: 3px 7px;
  font-size: 12px;
  font-weight: bold;
  color: #fff;
  line-height: 1;
  vertical-align: middle;
  white-space: nowrap;
  text-align: center;
  background-color: #777777;
  border-radius: 10px;
}
.badge:empty {
  display: none;
}
.btn .badge {
  position: relative;
  top: -1px;
}
.btn-xs .badge,
.btn-group-xs > .btn .badge {
  top: 0;
  padding: 1px 5px;
}
a.badge:hover,
a.badge:focus {
  color: #fff;
  text-decoration: none;
  cursor: pointer;
}
.list-group-item.active > .badge,
.nav-pills > .active > a > .badge {
  color: #337ab7;
  background-color: #fff;
}
.list-group-item > .badge {
  float: right;
}
.list-group-item > .badge + .badge {
  margin-right: 5px;
}
.nav-pills > li > a > .badge {
  margin-left: 3px;
}
.jumbotron {
  padding-top: 30px;
  padding-bottom: 30px;
  margin-bottom: 30px;
  color: inherit;
  background-color: #eeeeee;
}
.jumbotron h1,
.jumbotron .h1 {
  color: inherit;
}
.jumbotron p {
  margin-bottom: 15px;
  font-size: 20px;
  font-weight: 200;
}
.jumbotron > hr {
  border-top-color: #d5d5d5;
}
.container .jumbotron,
.container-fluid .jumbotron {
  border-radius: 3px;
  padding-left: 0px;
  padding-right: 0px;
}
.jumbotron .container {
  max-width: 100%;
}
@media screen and (min-width: 768px) {
  .jumbotron {
    padding-top: 48px;
    padding-bottom: 48px;
  }
  .container .jumbotron,
  .container-fluid .jumbotron {
    padding-left: 60px;
    padding-right: 60px;
  }
  .jumbotron h1,
  .jumbotron .h1 {
    font-size: 59px;
  }
}
.thumbnail {
  display: block;
  padding: 4px;
  margin-bottom: 18px;
  line-height: 1.42857143;
  background-color: #fff;
  border: 1px solid #ddd;
  border-radius: 2px;
  -webkit-transition: border 0.2s ease-in-out;
  -o-transition: border 0.2s ease-in-out;
  transition: border 0.2s ease-in-out;
}
.thumbnail > img,
.thumbnail a > img {
  margin-left: auto;
  margin-right: auto;
}
a.thumbnail:hover,
a.thumbnail:focus,
a.thumbnail.active {
  border-color: #337ab7;
}
.thumbnail .caption {
  padding: 9px;
  color: #000;
}
.alert {
  padding: 15px;
  margin-bottom: 18px;
  border: 1px solid transparent;
  border-radius: 2px;
}
.alert h4 {
  margin-top: 0;
  color: inherit;
}
.alert .alert-link {
  font-weight: bold;
}
.alert > p,
.alert > ul {
  margin-bottom: 0;
}
.alert > p + p {
  margin-top: 5px;
}
.alert-dismissable,
.alert-dismissible {
  padding-right: 35px;
}
.alert-dismissable .close,
.alert-dismissible .close {
  position: relative;
  top: -2px;
  right: -21px;
  color: inherit;
}
.alert-success {
  background-color: #dff0d8;
  border-color: #d6e9c6;
  color: #3c763d;
}
.alert-success hr {
  border-top-color: #c9e2b3;
}
.alert-success .alert-link {
  color: #2b542c;
}
.alert-info {
  background-color: #d9edf7;
  border-color: #bce8f1;
  color: #31708f;
}
.alert-info hr {
  border-top-color: #a6e1ec;
}
.alert-info .alert-link {
  color: #245269;
}
.alert-warning {
  background-color: #fcf8e3;
  border-color: #faebcc;
  color: #8a6d3b;
}
.alert-warning hr {
  border-top-color: #f7e1b5;
}
.alert-warning .alert-link {
  color: #66512c;
}
.alert-danger {
  background-color: #f2dede;
  border-color: #ebccd1;
  color: #a94442;
}
.alert-danger hr {
  border-top-color: #e4b9c0;
}
.alert-danger .alert-link {
  color: #843534;
}
@-webkit-keyframes progress-bar-stripes {
  from {
    background-position: 40px 0;
  }
  to {
    background-position: 0 0;
  }
}
@keyframes progress-bar-stripes {
  from {
    background-position: 40px 0;
  }
  to {
    background-position: 0 0;
  }
}
.progress {
  overflow: hidden;
  height: 18px;
  margin-bottom: 18px;
  background-color: #f5f5f5;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 2px rgba(0, 0, 0, 0.1);
  box-shadow: inset 0 1px 2px rgba(0, 0, 0, 0.1);
}
.progress-bar {
  float: left;
  width: 0%;
  height: 100%;
  font-size: 12px;
  line-height: 18px;
  color: #fff;
  text-align: center;
  background-color: #337ab7;
  -webkit-box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.15);
  box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.15);
  -webkit-transition: width 0.6s ease;
  -o-transition: width 0.6s ease;
  transition: width 0.6s ease;
}
.progress-striped .progress-bar,
.progress-bar-striped {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-size: 40px 40px;
}
.progress.active .progress-bar,
.progress-bar.active {
  -webkit-animation: progress-bar-stripes 2s linear infinite;
  -o-animation: progress-bar-stripes 2s linear infinite;
  animation: progress-bar-stripes 2s linear infinite;
}
.progress-bar-success {
  background-color: #5cb85c;
}
.progress-striped .progress-bar-success {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.progress-bar-info {
  background-color: #5bc0de;
}
.progress-striped .progress-bar-info {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.progress-bar-warning {
  background-color: #f0ad4e;
}
.progress-striped .progress-bar-warning {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.progress-bar-danger {
  background-color: #d9534f;
}
.progress-striped .progress-bar-danger {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.media {
  margin-top: 15px;
}
.media:first-child {
  margin-top: 0;
}
.media,
.media-body {
  zoom: 1;
  overflow: hidden;
}
.media-body {
  width: 10000px;
}
.media-object {
  display: block;
}
.media-object.img-thumbnail {
  max-width: none;
}
.media-right,
.media > .pull-right {
  padding-left: 10px;
}
.media-left,
.media > .pull-left {
  padding-right: 10px;
}
.media-left,
.media-right,
.media-body {
  display: table-cell;
  vertical-align: top;
}
.media-middle {
  vertical-align: middle;
}
.media-bottom {
  vertical-align: bottom;
}
.media-heading {
  margin-top: 0;
  margin-bottom: 5px;
}
.media-list {
  padding-left: 0;
  list-style: none;
}
.list-group {
  margin-bottom: 20px;
  padding-left: 0;
}
.list-group-item {
  position: relative;
  display: block;
  padding: 10px 15px;
  margin-bottom: -1px;
  background-color: #fff;
  border: 1px solid #ddd;
}
.list-group-item:first-child {
  border-top-right-radius: 2px;
  border-top-left-radius: 2px;
}
.list-group-item:last-child {
  margin-bottom: 0;
  border-bottom-right-radius: 2px;
  border-bottom-left-radius: 2px;
}
a.list-group-item,
button.list-group-item {
  color: #555;
}
a.list-group-item .list-group-item-heading,
button.list-group-item .list-group-item-heading {
  color: #333;
}
a.list-group-item:hover,
button.list-group-item:hover,
a.list-group-item:focus,
button.list-group-item:focus {
  text-decoration: none;
  color: #555;
  background-color: #f5f5f5;
}
button.list-group-item {
  width: 100%;
  text-align: left;
}
.list-group-item.disabled,
.list-group-item.disabled:hover,
.list-group-item.disabled:focus {
  background-color: #eeeeee;
  color: #777777;
  cursor: not-allowed;
}
.list-group-item.disabled .list-group-item-heading,
.list-group-item.disabled:hover .list-group-item-heading,
.list-group-item.disabled:focus .list-group-item-heading {
  color: inherit;
}
.list-group-item.disabled .list-group-item-text,
.list-group-item.disabled:hover .list-group-item-text,
.list-group-item.disabled:focus .list-group-item-text {
  color: #777777;
}
.list-group-item.active,
.list-group-item.active:hover,
.list-group-item.active:focus {
  z-index: 2;
  color: #fff;
  background-color: #337ab7;
  border-color: #337ab7;
}
.list-group-item.active .list-group-item-heading,
.list-group-item.active:hover .list-group-item-heading,
.list-group-item.active:focus .list-group-item-heading,
.list-group-item.active .list-group-item-heading > small,
.list-group-item.active:hover .list-group-item-heading > small,
.list-group-item.active:focus .list-group-item-heading > small,
.list-group-item.active .list-group-item-heading > .small,
.list-group-item.active:hover .list-group-item-heading > .small,
.list-group-item.active:focus .list-group-item-heading > .small {
  color: inherit;
}
.list-group-item.active .list-group-item-text,
.list-group-item.active:hover .list-group-item-text,
.list-group-item.active:focus .list-group-item-text {
  color: #c7ddef;
}
.list-group-item-success {
  color: #3c763d;
  background-color: #dff0d8;
}
a.list-group-item-success,
button.list-group-item-success {
  color: #3c763d;
}
a.list-group-item-success .list-group-item-heading,
button.list-group-item-success .list-group-item-heading {
  color: inherit;
}
a.list-group-item-success:hover,
button.list-group-item-success:hover,
a.list-group-item-success:focus,
button.list-group-item-success:focus {
  color: #3c763d;
  background-color: #d0e9c6;
}
a.list-group-item-success.active,
button.list-group-item-success.active,
a.list-group-item-success.active:hover,
button.list-group-item-success.active:hover,
a.list-group-item-success.active:focus,
button.list-group-item-success.active:focus {
  color: #fff;
  background-color: #3c763d;
  border-color: #3c763d;
}
.list-group-item-info {
  color: #31708f;
  background-color: #d9edf7;
}
a.list-group-item-info,
button.list-group-item-info {
  color: #31708f;
}
a.list-group-item-info .list-group-item-heading,
button.list-group-item-info .list-group-item-heading {
  color: inherit;
}
a.list-group-item-info:hover,
button.list-group-item-info:hover,
a.list-group-item-info:focus,
button.list-group-item-info:focus {
  color: #31708f;
  background-color: #c4e3f3;
}
a.list-group-item-info.active,
button.list-group-item-info.active,
a.list-group-item-info.active:hover,
button.list-group-item-info.active:hover,
a.list-group-item-info.active:focus,
button.list-group-item-info.active:focus {
  color: #fff;
  background-color: #31708f;
  border-color: #31708f;
}
.list-group-item-warning {
  color: #8a6d3b;
  background-color: #fcf8e3;
}
a.list-group-item-warning,
button.list-group-item-warning {
  color: #8a6d3b;
}
a.list-group-item-warning .list-group-item-heading,
button.list-group-item-warning .list-group-item-heading {
  color: inherit;
}
a.list-group-item-warning:hover,
button.list-group-item-warning:hover,
a.list-group-item-warning:focus,
button.list-group-item-warning:focus {
  color: #8a6d3b;
  background-color: #faf2cc;
}
a.list-group-item-warning.active,
button.list-group-item-warning.active,
a.list-group-item-warning.active:hover,
button.list-group-item-warning.active:hover,
a.list-group-item-warning.active:focus,
button.list-group-item-warning.active:focus {
  color: #fff;
  background-color: #8a6d3b;
  border-color: #8a6d3b;
}
.list-group-item-danger {
  color: #a94442;
  background-color: #f2dede;
}
a.list-group-item-danger,
button.list-group-item-danger {
  color: #a94442;
}
a.list-group-item-danger .list-group-item-heading,
button.list-group-item-danger .list-group-item-heading {
  color: inherit;
}
a.list-group-item-danger:hover,
button.list-group-item-danger:hover,
a.list-group-item-danger:focus,
button.list-group-item-danger:focus {
  color: #a94442;
  background-color: #ebcccc;
}
a.list-group-item-danger.active,
button.list-group-item-danger.active,
a.list-group-item-danger.active:hover,
button.list-group-item-danger.active:hover,
a.list-group-item-danger.active:focus,
button.list-group-item-danger.active:focus {
  color: #fff;
  background-color: #a94442;
  border-color: #a94442;
}
.list-group-item-heading {
  margin-top: 0;
  margin-bottom: 5px;
}
.list-group-item-text {
  margin-bottom: 0;
  line-height: 1.3;
}
.panel {
  margin-bottom: 18px;
  background-color: #fff;
  border: 1px solid transparent;
  border-radius: 2px;
  -webkit-box-shadow: 0 1px 1px rgba(0, 0, 0, 0.05);
  box-shadow: 0 1px 1px rgba(0, 0, 0, 0.05);
}
.panel-body {
  padding: 15px;
}
.panel-heading {
  padding: 10px 15px;
  border-bottom: 1px solid transparent;
  border-top-right-radius: 1px;
  border-top-left-radius: 1px;
}
.panel-heading > .dropdown .dropdown-toggle {
  color: inherit;
}
.panel-title {
  margin-top: 0;
  margin-bottom: 0;
  font-size: 15px;
  color: inherit;
}
.panel-title > a,
.panel-title > small,
.panel-title > .small,
.panel-title > small > a,
.panel-title > .small > a {
  color: inherit;
}
.panel-footer {
  padding: 10px 15px;
  background-color: #f5f5f5;
  border-top: 1px solid #ddd;
  border-bottom-right-radius: 1px;
  border-bottom-left-radius: 1px;
}
.panel > .list-group,
.panel > .panel-collapse > .list-group {
  margin-bottom: 0;
}
.panel > .list-group .list-group-item,
.panel > .panel-collapse > .list-group .list-group-item {
  border-width: 1px 0;
  border-radius: 0;
}
.panel > .list-group:first-child .list-group-item:first-child,
.panel > .panel-collapse > .list-group:first-child .list-group-item:first-child {
  border-top: 0;
  border-top-right-radius: 1px;
  border-top-left-radius: 1px;
}
.panel > .list-group:last-child .list-group-item:last-child,
.panel > .panel-collapse > .list-group:last-child .list-group-item:last-child {
  border-bottom: 0;
  border-bottom-right-radius: 1px;
  border-bottom-left-radius: 1px;
}
.panel > .panel-heading + .panel-collapse > .list-group .list-group-item:first-child {
  border-top-right-radius: 0;
  border-top-left-radius: 0;
}
.panel-heading + .list-group .list-group-item:first-child {
  border-top-width: 0;
}
.list-group + .panel-footer {
  border-top-width: 0;
}
.panel > .table,
.panel > .table-responsive > .table,
.panel > .panel-collapse > .table {
  margin-bottom: 0;
}
.panel > .table caption,
.panel > .table-responsive > .table caption,
.panel > .panel-collapse > .table caption {
  padding-left: 15px;
  padding-right: 15px;
}
.panel > .table:first-child,
.panel > .table-responsive:first-child > .table:first-child {
  border-top-right-radius: 1px;
  border-top-left-radius: 1px;
}
.panel > .table:first-child > thead:first-child > tr:first-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child,
.panel > .table:first-child > tbody:first-child > tr:first-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child {
  border-top-left-radius: 1px;
  border-top-right-radius: 1px;
}
.panel > .table:first-child > thead:first-child > tr:first-child td:first-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child td:first-child,
.panel > .table:first-child > tbody:first-child > tr:first-child td:first-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child td:first-child,
.panel > .table:first-child > thead:first-child > tr:first-child th:first-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child th:first-child,
.panel > .table:first-child > tbody:first-child > tr:first-child th:first-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child th:first-child {
  border-top-left-radius: 1px;
}
.panel > .table:first-child > thead:first-child > tr:first-child td:last-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child td:last-child,
.panel > .table:first-child > tbody:first-child > tr:first-child td:last-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child td:last-child,
.panel > .table:first-child > thead:first-child > tr:first-child th:last-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child th:last-child,
.panel > .table:first-child > tbody:first-child > tr:first-child th:last-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child th:last-child {
  border-top-right-radius: 1px;
}
.panel > .table:last-child,
.panel > .table-responsive:last-child > .table:last-child {
  border-bottom-right-radius: 1px;
  border-bottom-left-radius: 1px;
}
.panel > .table:last-child > tbody:last-child > tr:last-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child {
  border-bottom-left-radius: 1px;
  border-bottom-right-radius: 1px;
}
.panel > .table:last-child > tbody:last-child > tr:last-child td:first-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child td:first-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child td:first-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child td:first-child,
.panel > .table:last-child > tbody:last-child > tr:last-child th:first-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child th:first-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child th:first-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child th:first-child {
  border-bottom-left-radius: 1px;
}
.panel > .table:last-child > tbody:last-child > tr:last-child td:last-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child td:last-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child td:last-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child td:last-child,
.panel > .table:last-child > tbody:last-child > tr:last-child th:last-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child th:last-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child th:last-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child th:last-child {
  border-bottom-right-radius: 1px;
}
.panel > .panel-body + .table,
.panel > .panel-body + .table-responsive,
.panel > .table + .panel-body,
.panel > .table-responsive + .panel-body {
  border-top: 1px solid #ddd;
}
.panel > .table > tbody:first-child > tr:first-child th,
.panel > .table > tbody:first-child > tr:first-child td {
  border-top: 0;
}
.panel > .table-bordered,
.panel > .table-responsive > .table-bordered {
  border: 0;
}
.panel > .table-bordered > thead > tr > th:first-child,
.panel > .table-responsive > .table-bordered > thead > tr > th:first-child,
.panel > .table-bordered > tbody > tr > th:first-child,
.panel > .table-responsive > .table-bordered > tbody > tr > th:first-child,
.panel > .table-bordered > tfoot > tr > th:first-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > th:first-child,
.panel > .table-bordered > thead > tr > td:first-child,
.panel > .table-responsive > .table-bordered > thead > tr > td:first-child,
.panel > .table-bordered > tbody > tr > td:first-child,
.panel > .table-responsive > .table-bordered > tbody > tr > td:first-child,
.panel > .table-bordered > tfoot > tr > td:first-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > td:first-child {
  border-left: 0;
}
.panel > .table-bordered > thead > tr > th:last-child,
.panel > .table-responsive > .table-bordered > thead > tr > th:last-child,
.panel > .table-bordered > tbody > tr > th:last-child,
.panel > .table-responsive > .table-bordered > tbody > tr > th:last-child,
.panel > .table-bordered > tfoot > tr > th:last-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > th:last-child,
.panel > .table-bordered > thead > tr > td:last-child,
.panel > .table-responsive > .table-bordered > thead > tr > td:last-child,
.panel > .table-bordered > tbody > tr > td:last-child,
.panel > .table-responsive > .table-bordered > tbody > tr > td:last-child,
.panel > .table-bordered > tfoot > tr > td:last-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > td:last-child {
  border-right: 0;
}
.panel > .table-bordered > thead > tr:first-child > td,
.panel > .table-responsive > .table-bordered > thead > tr:first-child > td,
.panel > .table-bordered > tbody > tr:first-child > td,
.panel > .table-responsive > .table-bordered > tbody > tr:first-child > td,
.panel > .table-bordered > thead > tr:first-child > th,
.panel > .table-responsive > .table-bordered > thead > tr:first-child > th,
.panel > .table-bordered > tbody > tr:first-child > th,
.panel > .table-responsive > .table-bordered > tbody > tr:first-child > th {
  border-bottom: 0;
}
.panel > .table-bordered > tbody > tr:last-child > td,
.panel > .table-responsive > .table-bordered > tbody > tr:last-child > td,
.panel > .table-bordered > tfoot > tr:last-child > td,
.panel > .table-responsive > .table-bordered > tfoot > tr:last-child > td,
.panel > .table-bordered > tbody > tr:last-child > th,
.panel > .table-responsive > .table-bordered > tbody > tr:last-child > th,
.panel > .table-bordered > tfoot > tr:last-child > th,
.panel > .table-responsive > .table-bordered > tfoot > tr:last-child > th {
  border-bottom: 0;
}
.panel > .table-responsive {
  border: 0;
  margin-bottom: 0;
}
.panel-group {
  margin-bottom: 18px;
}
.panel-group .panel {
  margin-bottom: 0;
  border-radius: 2px;
}
.panel-group .panel + .panel {
  margin-top: 5px;
}
.panel-group .panel-heading {
  border-bottom: 0;
}
.panel-group .panel-heading + .panel-collapse > .panel-body,
.panel-group .panel-heading + .panel-collapse > .list-group {
  border-top: 1px solid #ddd;
}
.panel-group .panel-footer {
  border-top: 0;
}
.panel-group .panel-footer + .panel-collapse .panel-body {
  border-bottom: 1px solid #ddd;
}
.panel-default {
  border-color: #ddd;
}
.panel-default > .panel-heading {
  color: #333333;
  background-color: #f5f5f5;
  border-color: #ddd;
}
.panel-default > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #ddd;
}
.panel-default > .panel-heading .badge {
  color: #f5f5f5;
  background-color: #333333;
}
.panel-default > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #ddd;
}
.panel-primary {
  border-color: #337ab7;
}
.panel-primary > .panel-heading {
  color: #fff;
  background-color: #337ab7;
  border-color: #337ab7;
}
.panel-primary > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #337ab7;
}
.panel-primary > .panel-heading .badge {
  color: #337ab7;
  background-color: #fff;
}
.panel-primary > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #337ab7;
}
.panel-success {
  border-color: #d6e9c6;
}
.panel-success > .panel-heading {
  color: #3c763d;
  background-color: #dff0d8;
  border-color: #d6e9c6;
}
.panel-success > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #d6e9c6;
}
.panel-success > .panel-heading .badge {
  color: #dff0d8;
  background-color: #3c763d;
}
.panel-success > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #d6e9c6;
}
.panel-info {
  border-color: #bce8f1;
}
.panel-info > .panel-heading {
  color: #31708f;
  background-color: #d9edf7;
  border-color: #bce8f1;
}
.panel-info > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #bce8f1;
}
.panel-info > .panel-heading .badge {
  color: #d9edf7;
  background-color: #31708f;
}
.panel-info > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #bce8f1;
}
.panel-warning {
  border-color: #faebcc;
}
.panel-warning > .panel-heading {
  color: #8a6d3b;
  background-color: #fcf8e3;
  border-color: #faebcc;
}
.panel-warning > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #faebcc;
}
.panel-warning > .panel-heading .badge {
  color: #fcf8e3;
  background-color: #8a6d3b;
}
.panel-warning > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #faebcc;
}
.panel-danger {
  border-color: #ebccd1;
}
.panel-danger > .panel-heading {
  color: #a94442;
  background-color: #f2dede;
  border-color: #ebccd1;
}
.panel-danger > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #ebccd1;
}
.panel-danger > .panel-heading .badge {
  color: #f2dede;
  background-color: #a94442;
}
.panel-danger > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #ebccd1;
}
.embed-responsive {
  position: relative;
  display: block;
  height: 0;
  padding: 0;
  overflow: hidden;
}
.embed-responsive .embed-responsive-item,
.embed-responsive iframe,
.embed-responsive embed,
.embed-responsive object,
.embed-responsive video {
  position: absolute;
  top: 0;
  left: 0;
  bottom: 0;
  height: 100%;
  width: 100%;
  border: 0;
}
.embed-responsive-16by9 {
  padding-bottom: 56.25%;
}
.embed-responsive-4by3 {
  padding-bottom: 75%;
}
.well {
  min-height: 20px;
  padding: 19px;
  margin-bottom: 20px;
  background-color: #f5f5f5;
  border: 1px solid #e3e3e3;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.05);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.05);
}
.well blockquote {
  border-color: #ddd;
  border-color: rgba(0, 0, 0, 0.15);
}
.well-lg {
  padding: 24px;
  border-radius: 3px;
}
.well-sm {
  padding: 9px;
  border-radius: 1px;
}
.close {
  float: right;
  font-size: 19.5px;
  font-weight: bold;
  line-height: 1;
  color: #000;
  text-shadow: 0 1px 0 #fff;
  opacity: 0.2;
  filter: alpha(opacity=20);
}
.close:hover,
.close:focus {
  color: #000;
  text-decoration: none;
  cursor: pointer;
  opacity: 0.5;
  filter: alpha(opacity=50);
}
button.close {
  padding: 0;
  cursor: pointer;
  background: transparent;
  border: 0;
  -webkit-appearance: none;
}
.modal-open {
  overflow: hidden;
}
.modal {
  display: none;
  overflow: hidden;
  position: fixed;
  top: 0;
  right: 0;
  bottom: 0;
  left: 0;
  z-index: 1050;
  -webkit-overflow-scrolling: touch;
  outline: 0;
}
.modal.fade .modal-dialog {
  -webkit-transform: translate(0, -25%);
  -ms-transform: translate(0, -25%);
  -o-transform: translate(0, -25%);
  transform: translate(0, -25%);
  -webkit-transition: -webkit-transform 0.3s ease-out;
  -moz-transition: -moz-transform 0.3s ease-out;
  -o-transition: -o-transform 0.3s ease-out;
  transition: transform 0.3s ease-out;
}
.modal.in .modal-dialog {
  -webkit-transform: translate(0, 0);
  -ms-transform: translate(0, 0);
  -o-transform: translate(0, 0);
  transform: translate(0, 0);
}
.modal-open .modal {
  overflow-x: hidden;
  overflow-y: auto;
}
.modal-dialog {
  position: relative;
  width: auto;
  margin: 10px;
}
.modal-content {
  position: relative;
  background-color: #fff;
  border: 1px solid #999;
  border: 1px solid rgba(0, 0, 0, 0.2);
  border-radius: 3px;
  -webkit-box-shadow: 0 3px 9px rgba(0, 0, 0, 0.5);
  box-shadow: 0 3px 9px rgba(0, 0, 0, 0.5);
  background-clip: padding-box;
  outline: 0;
}
.modal-backdrop {
  position: fixed;
  top: 0;
  right: 0;
  bottom: 0;
  left: 0;
  z-index: 1040;
  background-color: #000;
}
.modal-backdrop.fade {
  opacity: 0;
  filter: alpha(opacity=0);
}
.modal-backdrop.in {
  opacity: 0.5;
  filter: alpha(opacity=50);
}
.modal-header {
  padding: 15px;
  border-bottom: 1px solid #e5e5e5;
}
.modal-header .close {
  margin-top: -2px;
}
.modal-title {
  margin: 0;
  line-height: 1.42857143;
}
.modal-body {
  position: relative;
  padding: 15px;
}
.modal-footer {
  padding: 15px;
  text-align: right;
  border-top: 1px solid #e5e5e5;
}
.modal-footer .btn + .btn {
  margin-left: 5px;
  margin-bottom: 0;
}
.modal-footer .btn-group .btn + .btn {
  margin-left: -1px;
}
.modal-footer .btn-block + .btn-block {
  margin-left: 0;
}
.modal-scrollbar-measure {
  position: absolute;
  top: -9999px;
  width: 50px;
  height: 50px;
  overflow: scroll;
}
@media (min-width: 768px) {
  .modal-dialog {
    width: 600px;
    margin: 30px auto;
  }
  .modal-content {
    -webkit-box-shadow: 0 5px 15px rgba(0, 0, 0, 0.5);
    box-shadow: 0 5px 15px rgba(0, 0, 0, 0.5);
  }
  .modal-sm {
    width: 300px;
  }
}
@media (min-width: 992px) {
  .modal-lg {
    width: 900px;
  }
}
.tooltip {
  position: absolute;
  z-index: 1070;
  display: block;
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
  font-style: normal;
  font-weight: normal;
  letter-spacing: normal;
  line-break: auto;
  line-height: 1.42857143;
  text-align: left;
  text-align: start;
  text-decoration: none;
  text-shadow: none;
  text-transform: none;
  white-space: normal;
  word-break: normal;
  word-spacing: normal;
  word-wrap: normal;
  font-size: 12px;
  opacity: 0;
  filter: alpha(opacity=0);
}
.tooltip.in {
  opacity: 0.9;
  filter: alpha(opacity=90);
}
.tooltip.top {
  margin-top: -3px;
  padding: 5px 0;
}
.tooltip.right {
  margin-left: 3px;
  padding: 0 5px;
}
.tooltip.bottom {
  margin-top: 3px;
  padding: 5px 0;
}
.tooltip.left {
  margin-left: -3px;
  padding: 0 5px;
}
.tooltip-inner {
  max-width: 200px;
  padding: 3px 8px;
  color: #fff;
  text-align: center;
  background-color: #000;
  border-radius: 2px;
}
.tooltip-arrow {
  position: absolute;
  width: 0;
  height: 0;
  border-color: transparent;
  border-style: solid;
}
.tooltip.top .tooltip-arrow {
  bottom: 0;
  left: 50%;
  margin-left: -5px;
  border-width: 5px 5px 0;
  border-top-color: #000;
}
.tooltip.top-left .tooltip-arrow {
  bottom: 0;
  right: 5px;
  margin-bottom: -5px;
  border-width: 5px 5px 0;
  border-top-color: #000;
}
.tooltip.top-right .tooltip-arrow {
  bottom: 0;
  left: 5px;
  margin-bottom: -5px;
  border-width: 5px 5px 0;
  border-top-color: #000;
}
.tooltip.right .tooltip-arrow {
  top: 50%;
  left: 0;
  margin-top: -5px;
  border-width: 5px 5px 5px 0;
  border-right-color: #000;
}
.tooltip.left .tooltip-arrow {
  top: 50%;
  right: 0;
  margin-top: -5px;
  border-width: 5px 0 5px 5px;
  border-left-color: #000;
}
.tooltip.bottom .tooltip-arrow {
  top: 0;
  left: 50%;
  margin-left: -5px;
  border-width: 0 5px 5px;
  border-bottom-color: #000;
}
.tooltip.bottom-left .tooltip-arrow {
  top: 0;
  right: 5px;
  margin-top: -5px;
  border-width: 0 5px 5px;
  border-bottom-color: #000;
}
.tooltip.bottom-right .tooltip-arrow {
  top: 0;
  left: 5px;
  margin-top: -5px;
  border-width: 0 5px 5px;
  border-bottom-color: #000;
}
.popover {
  position: absolute;
  top: 0;
  left: 0;
  z-index: 1060;
  display: none;
  max-width: 276px;
  padding: 1px;
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
  font-style: normal;
  font-weight: normal;
  letter-spacing: normal;
  line-break: auto;
  line-height: 1.42857143;
  text-align: left;
  text-align: start;
  text-decoration: none;
  text-shadow: none;
  text-transform: none;
  white-space: normal;
  word-break: normal;
  word-spacing: normal;
  word-wrap: normal;
  font-size: 13px;
  background-color: #fff;
  background-clip: padding-box;
  border: 1px solid #ccc;
  border: 1px solid rgba(0, 0, 0, 0.2);
  border-radius: 3px;
  -webkit-box-shadow: 0 5px 10px rgba(0, 0, 0, 0.2);
  box-shadow: 0 5px 10px rgba(0, 0, 0, 0.2);
}
.popover.top {
  margin-top: -10px;
}
.popover.right {
  margin-left: 10px;
}
.popover.bottom {
  margin-top: 10px;
}
.popover.left {
  margin-left: -10px;
}
.popover-title {
  margin: 0;
  padding: 8px 14px;
  font-size: 13px;
  background-color: #f7f7f7;
  border-bottom: 1px solid #ebebeb;
  border-radius: 2px 2px 0 0;
}
.popover-content {
  padding: 9px 14px;
}
.popover > .arrow,
.popover > .arrow:after {
  position: absolute;
  display: block;
  width: 0;
  height: 0;
  border-color: transparent;
  border-style: solid;
}
.popover > .arrow {
  border-width: 11px;
}
.popover > .arrow:after {
  border-width: 10px;
  content: "";
}
.popover.top > .arrow {
  left: 50%;
  margin-left: -11px;
  border-bottom-width: 0;
  border-top-color: #999999;
  border-top-color: rgba(0, 0, 0, 0.25);
  bottom: -11px;
}
.popover.top > .arrow:after {
  content: " ";
  bottom: 1px;
  margin-left: -10px;
  border-bottom-width: 0;
  border-top-color: #fff;
}
.popover.right > .arrow {
  top: 50%;
  left: -11px;
  margin-top: -11px;
  border-left-width: 0;
  border-right-color: #999999;
  border-right-color: rgba(0, 0, 0, 0.25);
}
.popover.right > .arrow:after {
  content: " ";
  left: 1px;
  bottom: -10px;
  border-left-width: 0;
  border-right-color: #fff;
}
.popover.bottom > .arrow {
  left: 50%;
  margin-left: -11px;
  border-top-width: 0;
  border-bottom-color: #999999;
  border-bottom-color: rgba(0, 0, 0, 0.25);
  top: -11px;
}
.popover.bottom > .arrow:after {
  content: " ";
  top: 1px;
  margin-left: -10px;
  border-top-width: 0;
  border-bottom-color: #fff;
}
.popover.left > .arrow {
  top: 50%;
  right: -11px;
  margin-top: -11px;
  border-right-width: 0;
  border-left-color: #999999;
  border-left-color: rgba(0, 0, 0, 0.25);
}
.popover.left > .arrow:after {
  content: " ";
  right: 1px;
  border-right-width: 0;
  border-left-color: #fff;
  bottom: -10px;
}
.carousel {
  position: relative;
}
.carousel-inner {
  position: relative;
  overflow: hidden;
  width: 100%;
}
.carousel-inner > .item {
  display: none;
  position: relative;
  -webkit-transition: 0.6s ease-in-out left;
  -o-transition: 0.6s ease-in-out left;
  transition: 0.6s ease-in-out left;
}
.carousel-inner > .item > img,
.carousel-inner > .item > a > img {
  line-height: 1;
}
@media all and (transform-3d), (-webkit-transform-3d) {
  .carousel-inner > .item {
    -webkit-transition: -webkit-transform 0.6s ease-in-out;
    -moz-transition: -moz-transform 0.6s ease-in-out;
    -o-transition: -o-transform 0.6s ease-in-out;
    transition: transform 0.6s ease-in-out;
    -webkit-backface-visibility: hidden;
    -moz-backface-visibility: hidden;
    backface-visibility: hidden;
    -webkit-perspective: 1000px;
    -moz-perspective: 1000px;
    perspective: 1000px;
  }
  .carousel-inner > .item.next,
  .carousel-inner > .item.active.right {
    -webkit-transform: translate3d(100%, 0, 0);
    transform: translate3d(100%, 0, 0);
    left: 0;
  }
  .carousel-inner > .item.prev,
  .carousel-inner > .item.active.left {
    -webkit-transform: translate3d(-100%, 0, 0);
    transform: translate3d(-100%, 0, 0);
    left: 0;
  }
  .carousel-inner > .item.next.left,
  .carousel-inner > .item.prev.right,
  .carousel-inner > .item.active {
    -webkit-transform: translate3d(0, 0, 0);
    transform: translate3d(0, 0, 0);
    left: 0;
  }
}
.carousel-inner > .active,
.carousel-inner > .next,
.carousel-inner > .prev {
  display: block;
}
.carousel-inner > .active {
  left: 0;
}
.carousel-inner > .next,
.carousel-inner > .prev {
  position: absolute;
  top: 0;
  width: 100%;
}
.carousel-inner > .next {
  left: 100%;
}
.carousel-inner > .prev {
  left: -100%;
}
.carousel-inner > .next.left,
.carousel-inner > .prev.right {
  left: 0;
}
.carousel-inner > .active.left {
  left: -100%;
}
.carousel-inner > .active.right {
  left: 100%;
}
.carousel-control {
  position: absolute;
  top: 0;
  left: 0;
  bottom: 0;
  width: 15%;
  opacity: 0.5;
  filter: alpha(opacity=50);
  font-size: 20px;
  color: #fff;
  text-align: center;
  text-shadow: 0 1px 2px rgba(0, 0, 0, 0.6);
  background-color: rgba(0, 0, 0, 0);
}
.carousel-control.left {
  background-image: -webkit-linear-gradient(left, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
  background-image: -o-linear-gradient(left, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
  background-image: linear-gradient(to right, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
  background-repeat: repeat-x;
  filter: progid:DXImageTransform.Microsoft.gradient(startColorstr='#80000000', endColorstr='#00000000', GradientType=1);
}
.carousel-control.right {
  left: auto;
  right: 0;
  background-image: -webkit-linear-gradient(left, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
  background-image: -o-linear-gradient(left, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
  background-image: linear-gradient(to right, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
  background-repeat: repeat-x;
  filter: progid:DXImageTransform.Microsoft.gradient(startColorstr='#00000000', endColorstr='#80000000', GradientType=1);
}
.carousel-control:hover,
.carousel-control:focus {
  outline: 0;
  color: #fff;
  text-decoration: none;
  opacity: 0.9;
  filter: alpha(opacity=90);
}
.carousel-control .icon-prev,
.carousel-control .icon-next,
.carousel-control .glyphicon-chevron-left,
.carousel-control .glyphicon-chevron-right {
  position: absolute;
  top: 50%;
  margin-top: -10px;
  z-index: 5;
  display: inline-block;
}
.carousel-control .icon-prev,
.carousel-control .glyphicon-chevron-left {
  left: 50%;
  margin-left: -10px;
}
.carousel-control .icon-next,
.carousel-control .glyphicon-chevron-right {
  right: 50%;
  margin-right: -10px;
}
.carousel-control .icon-prev,
.carousel-control .icon-next {
  width: 20px;
  height: 20px;
  line-height: 1;
  font-family: serif;
}
.carousel-control .icon-prev:before {
  content: '\2039';
}
.carousel-control .icon-next:before {
  content: '\203a';
}
.carousel-indicators {
  position: absolute;
  bottom: 10px;
  left: 50%;
  z-index: 15;
  width: 60%;
  margin-left: -30%;
  padding-left: 0;
  list-style: none;
  text-align: center;
}
.carousel-indicators li {
  display: inline-block;
  width: 10px;
  height: 10px;
  margin: 1px;
  text-indent: -999px;
  border: 1px solid #fff;
  border-radius: 10px;
  cursor: pointer;
  background-color: #000 \9;
  background-color: rgba(0, 0, 0, 0);
}
.carousel-indicators .active {
  margin: 0;
  width: 12px;
  height: 12px;
  background-color: #fff;
}
.carousel-caption {
  position: absolute;
  left: 15%;
  right: 15%;
  bottom: 20px;
  z-index: 10;
  padding-top: 20px;
  padding-bottom: 20px;
  color: #fff;
  text-align: center;
  text-shadow: 0 1px 2px rgba(0, 0, 0, 0.6);
}
.carousel-caption .btn {
  text-shadow: none;
}
@media screen and (min-width: 768px) {
  .carousel-control .glyphicon-chevron-left,
  .carousel-control .glyphicon-chevron-right,
  .carousel-control .icon-prev,
  .carousel-control .icon-next {
    width: 30px;
    height: 30px;
    margin-top: -10px;
    font-size: 30px;
  }
  .carousel-control .glyphicon-chevron-left,
  .carousel-control .icon-prev {
    margin-left: -10px;
  }
  .carousel-control .glyphicon-chevron-right,
  .carousel-control .icon-next {
    margin-right: -10px;
  }
  .carousel-caption {
    left: 20%;
    right: 20%;
    padding-bottom: 30px;
  }
  .carousel-indicators {
    bottom: 20px;
  }
}
.clearfix:before,
.clearfix:after,
.dl-horizontal dd:before,
.dl-horizontal dd:after,
.container:before,
.container:after,
.container-fluid:before,
.container-fluid:after,
.row:before,
.row:after,
.form-horizontal .form-group:before,
.form-horizontal .form-group:after,
.btn-toolbar:before,
.btn-toolbar:after,
.btn-group-vertical > .btn-group:before,
.btn-group-vertical > .btn-group:after,
.nav:before,
.nav:after,
.navbar:before,
.navbar:after,
.navbar-header:before,
.navbar-header:after,
.navbar-collapse:before,
.navbar-collapse:after,
.pager:before,
.pager:after,
.panel-body:before,
.panel-body:after,
.modal-header:before,
.modal-header:after,
.modal-footer:before,
.modal-footer:after,
.item_buttons:before,
.item_buttons:after {
  content: " ";
  display: table;
}
.clearfix:after,
.dl-horizontal dd:after,
.container:after,
.container-fluid:after,
.row:after,
.form-horizontal .form-group:after,
.btn-toolbar:after,
.btn-group-vertical > .btn-group:after,
.nav:after,
.navbar:after,
.navbar-header:after,
.navbar-collapse:after,
.pager:after,
.panel-body:after,
.modal-header:after,
.modal-footer:after,
.item_buttons:after {
  clear: both;
}
.center-block {
  display: block;
  margin-left: auto;
  margin-right: auto;
}
.pull-right {
  float: right !important;
}
.pull-left {
  float: left !important;
}
.hide {
  display: none !important;
}
.show {
  display: block !important;
}
.invisible {
  visibility: hidden;
}
.text-hide {
  font: 0/0 a;
  color: transparent;
  text-shadow: none;
  background-color: transparent;
  border: 0;
}
.hidden {
  display: none !important;
}
.affix {
  position: fixed;
}
@-ms-viewport {
  width: device-width;
}
.visible-xs,
.visible-sm,
.visible-md,
.visible-lg {
  display: none !important;
}
.visible-xs-block,
.visible-xs-inline,
.visible-xs-inline-block,
.visible-sm-block,
.visible-sm-inline,
.visible-sm-inline-block,
.visible-md-block,
.visible-md-inline,
.visible-md-inline-block,
.visible-lg-block,
.visible-lg-inline,
.visible-lg-inline-block {
  display: none !important;
}
@media (max-width: 767px) {
  .visible-xs {
    display: block !important;
  }
  table.visible-xs {
    display: table !important;
  }
  tr.visible-xs {
    display: table-row !important;
  }
  th.visible-xs,
  td.visible-xs {
    display: table-cell !important;
  }
}
@media (max-width: 767px) {
  .visible-xs-block {
    display: block !important;
  }
}
@media (max-width: 767px) {
  .visible-xs-inline {
    display: inline !important;
  }
}
@media (max-width: 767px) {
  .visible-xs-inline-block {
    display: inline-block !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm {
    display: block !important;
  }
  table.visible-sm {
    display: table !important;
  }
  tr.visible-sm {
    display: table-row !important;
  }
  th.visible-sm,
  td.visible-sm {
    display: table-cell !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm-block {
    display: block !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm-inline {
    display: inline !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm-inline-block {
    display: inline-block !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md {
    display: block !important;
  }
  table.visible-md {
    display: table !important;
  }
  tr.visible-md {
    display: table-row !important;
  }
  th.visible-md,
  td.visible-md {
    display: table-cell !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md-block {
    display: block !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md-inline {
    display: inline !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md-inline-block {
    display: inline-block !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg {
    display: block !important;
  }
  table.visible-lg {
    display: table !important;
  }
  tr.visible-lg {
    display: table-row !important;
  }
  th.visible-lg,
  td.visible-lg {
    display: table-cell !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg-block {
    display: block !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg-inline {
    display: inline !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg-inline-block {
    display: inline-block !important;
  }
}
@media (max-width: 767px) {
  .hidden-xs {
    display: none !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .hidden-sm {
    display: none !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .hidden-md {
    display: none !important;
  }
}
@media (min-width: 1200px) {
  .hidden-lg {
    display: none !important;
  }
}
.visible-print {
  display: none !important;
}
@media print {
  .visible-print {
    display: block !important;
  }
  table.visible-print {
    display: table !important;
  }
  tr.visible-print {
    display: table-row !important;
  }
  th.visible-print,
  td.visible-print {
    display: table-cell !important;
  }
}
.visible-print-block {
  display: none !important;
}
@media print {
  .visible-print-block {
    display: block !important;
  }
}
.visible-print-inline {
  display: none !important;
}
@media print {
  .visible-print-inline {
    display: inline !important;
  }
}
.visible-print-inline-block {
  display: none !important;
}
@media print {
  .visible-print-inline-block {
    display: inline-block !important;
  }
}
@media print {
  .hidden-print {
    display: none !important;
  }
}
/*!
*
* Font Awesome
*
*/
/*!
 *  Font Awesome 4.7.0 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 #eee;
  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: #fff;
}
/* Font Awesome uses the Unicode Private Use Area (PUA) to ensure screen
   readers do not read off random characters that represent icons */
.fa-glass:before {
  content: "\f000";
}
.fa-music:before {
  content: "\f001";
}
.fa-search:before {
  content: "\f002";
}
.fa-envelope-o:before {
  content: "\f003";
}
.fa-heart:before {
  content: "\f004";
}
.fa-star:before {
  content: "\f005";
}
.fa-star-o:before {
  content: "\f006";
}
.fa-user:before {
  content: "\f007";
}
.fa-film:before {
  content: "\f008";
}
.fa-th-large:before {
  content: "\f009";
}
.fa-th:before {
  content: "\f00a";
}
.fa-th-list:before {
  content: "\f00b";
}
.fa-check:before {
  content: "\f00c";
}
.fa-remove:before,
.fa-close:before,
.fa-times:before {
  content: "\f00d";
}
.fa-search-plus:before {
  content: "\f00e";
}
.fa-search-minus:before {
  content: "\f010";
}
.fa-power-off:before {
  content: "\f011";
}
.fa-signal:before {
  content: "\f012";
}
.fa-gear:before,
.fa-cog:before {
  content: "\f013";
}
.fa-trash-o:before {
  content: "\f014";
}
.fa-home:before {
  content: "\f015";
}
.fa-file-o:before {
  content: "\f016";
}
.fa-clock-o:before {
  content: "\f017";
}
.fa-road:before {
  content: "\f018";
}
.fa-download:before {
  content: "\f019";
}
.fa-arrow-circle-o-down:before {
  content: "\f01a";
}
.fa-arrow-circle-o-up:before {
  content: "\f01b";
}
.fa-inbox:before {
  content: "\f01c";
}
.fa-play-circle-o:before {
  content: "\f01d";
}
.fa-rotate-right:before,
.fa-repeat:before {
  content: "\f01e";
}
.fa-refresh:before {
  content: "\f021";
}
.fa-list-alt:before {
  content: "\f022";
}
.fa-lock:before {
  content: "\f023";
}
.fa-flag:before {
  content: "\f024";
}
.fa-headphones:before {
  content: "\f025";
}
.fa-volume-off:before {
  content: "\f026";
}
.fa-volume-down:before {
  content: "\f027";
}
.fa-volume-up:before {
  content: "\f028";
}
.fa-qrcode:before {
  content: "\f029";
}
.fa-barcode:before {
  content: "\f02a";
}
.fa-tag:before {
  content: "\f02b";
}
.fa-tags:before {
  content: "\f02c";
}
.fa-book:before {
  content: "\f02d";
}
.fa-bookmark:before {
  content: "\f02e";
}
.fa-print:before {
  content: "\f02f";
}
.fa-camera:before {
  content: "\f030";
}
.fa-font:before {
  content: "\f031";
}
.fa-bold:before {
  content: "\f032";
}
.fa-italic:before {
  content: "\f033";
}
.fa-text-height:before {
  content: "\f034";
}
.fa-text-width:before {
  content: "\f035";
}
.fa-align-left:before {
  content: "\f036";
}
.fa-align-center:before {
  content: "\f037";
}
.fa-align-right:before {
  content: "\f038";
}
.fa-align-justify:before {
  content: "\f039";
}
.fa-list:before {
  content: "\f03a";
}
.fa-dedent:before,
.fa-outdent:before {
  content: "\f03b";
}
.fa-indent:before {
  content: "\f03c";
}
.fa-video-camera:before {
  content: "\f03d";
}
.fa-photo:before,
.fa-image:before,
.fa-picture-o:before {
  content: "\f03e";
}
.fa-pencil:before {
  content: "\f040";
}
.fa-map-marker:before {
  content: "\f041";
}
.fa-adjust:before {
  content: "\f042";
}
.fa-tint:before {
  content: "\f043";
}
.fa-edit:before,
.fa-pencil-square-o:before {
  content: "\f044";
}
.fa-share-square-o:before {
  content: "\f045";
}
.fa-check-square-o:before {
  content: "\f046";
}
.fa-arrows:before {
  content: "\f047";
}
.fa-step-backward:before {
  content: "\f048";
}
.fa-fast-backward:before {
  content: "\f049";
}
.fa-backward:before {
  content: "\f04a";
}
.fa-play:before {
  content: "\f04b";
}
.fa-pause:before {
  content: "\f04c";
}
.fa-stop:before {
  content: "\f04d";
}
.fa-forward:before {
  content: "\f04e";
}
.fa-fast-forward:before {
  content: "\f050";
}
.fa-step-forward:before {
  content: "\f051";
}
.fa-eject:before {
  content: "\f052";
}
.fa-chevron-left:before {
  content: "\f053";
}
.fa-chevron-right:before {
  content: "\f054";
}
.fa-plus-circle:before {
  content: "\f055";
}
.fa-minus-circle:before {
  content: "\f056";
}
.fa-times-circle:before {
  content: "\f057";
}
.fa-check-circle:before {
  content: "\f058";
}
.fa-question-circle:before {
  content: "\f059";
}
.fa-info-circle:before {
  content: "\f05a";
}
.fa-crosshairs:before {
  content: "\f05b";
}
.fa-times-circle-o:before {
  content: "\f05c";
}
.fa-check-circle-o:before {
  content: "\f05d";
}
.fa-ban:before {
  content: "\f05e";
}
.fa-arrow-left:before {
  content: "\f060";
}
.fa-arrow-right:before {
  content: "\f061";
}
.fa-arrow-up:before {
  content: "\f062";
}
.fa-arrow-down:before {
  content: "\f063";
}
.fa-mail-forward:before,
.fa-share:before {
  content: "\f064";
}
.fa-expand:before {
  content: "\f065";
}
.fa-compress:before {
  content: "\f066";
}
.fa-plus:before {
  content: "\f067";
}
.fa-minus:before {
  content: "\f068";
}
.fa-asterisk:before {
  content: "\f069";
}
.fa-exclamation-circle:before {
  content: "\f06a";
}
.fa-gift:before {
  content: "\f06b";
}
.fa-leaf:before {
  content: "\f06c";
}
.fa-fire:before {
  content: "\f06d";
}
.fa-eye:before {
  content: "\f06e";
}
.fa-eye-slash:before {
  content: "\f070";
}
.fa-warning:before,
.fa-exclamation-triangle:before {
  content: "\f071";
}
.fa-plane:before {
  content: "\f072";
}
.fa-calendar:before {
  content: "\f073";
}
.fa-random:before {
  content: "\f074";
}
.fa-comment:before {
  content: "\f075";
}
.fa-magnet:before {
  content: "\f076";
}
.fa-chevron-up:before {
  content: "\f077";
}
.fa-chevron-down:before {
  content: "\f078";
}
.fa-retweet:before {
  content: "\f079";
}
.fa-shopping-cart:before {
  content: "\f07a";
}
.fa-folder:before {
  content: "\f07b";
}
.fa-folder-open:before {
  content: "\f07c";
}
.fa-arrows-v:before {
  content: "\f07d";
}
.fa-arrows-h:before {
  content: "\f07e";
}
.fa-bar-chart-o:before,
.fa-bar-chart:before {
  content: "\f080";
}
.fa-twitter-square:before {
  content: "\f081";
}
.fa-facebook-square:before {
  content: "\f082";
}
.fa-camera-retro:before {
  content: "\f083";
}
.fa-key:before {
  content: "\f084";
}
.fa-gears:before,
.fa-cogs:before {
  content: "\f085";
}
.fa-comments:before {
  content: "\f086";
}
.fa-thumbs-o-up:before {
  content: "\f087";
}
.fa-thumbs-o-down:before {
  content: "\f088";
}
.fa-star-half:before {
  content: "\f089";
}
.fa-heart-o:before {
  content: "\f08a";
}
.fa-sign-out:before {
  content: "\f08b";
}
.fa-linkedin-square:before {
  content: "\f08c";
}
.fa-thumb-tack:before {
  content: "\f08d";
}
.fa-external-link:before {
  content: "\f08e";
}
.fa-sign-in:before {
  content: "\f090";
}
.fa-trophy:before {
  content: "\f091";
}
.fa-github-square:before {
  content: "\f092";
}
.fa-upload:before {
  content: "\f093";
}
.fa-lemon-o:before {
  content: "\f094";
}
.fa-phone:before {
  content: "\f095";
}
.fa-square-o:before {
  content: "\f096";
}
.fa-bookmark-o:before {
  content: "\f097";
}
.fa-phone-square:before {
  content: "\f098";
}
.fa-twitter:before {
  content: "\f099";
}
.fa-facebook-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: #000;
}
pre {
  font-size: inherit;
  line-height: inherit;
}
label {
  font-weight: normal;
}
/* Make the page background atleast 100% the height of the view port */
/* Make the page itself atleast 70% the height of the view port */
.border-box-sizing {
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
.corner-all {
  border-radius: 2px;
}
.no-padding {
  padding: 0px;
}
/* Flexible box model classes */
/* Taken from Alex Russell http://infrequently.org/2009/08/css-3-progress/ */
/* This file is a compatability layer.  It allows the usage of flexible box 
model layouts accross multiple browsers, including older browsers.  The newest,
universal implementation of the flexible box model is used when available (see
`Modern browsers` comments below).  Browsers that are known to implement this 
new spec completely include:

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

Browsers not listed, including Safari, are supported via the styling under the
`Old browsers` comments below.
*/
.hbox {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
.hbox > * {
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
.vbox {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
}
.vbox > * {
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
.hbox.reverse,
.vbox.reverse,
.reverse {
  /* Old browsers */
  -webkit-box-direction: reverse;
  -moz-box-direction: reverse;
  box-direction: reverse;
  /* Modern browsers */
  flex-direction: row-reverse;
}
.hbox.box-flex0,
.vbox.box-flex0,
.box-flex0 {
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
  width: auto;
}
.hbox.box-flex1,
.vbox.box-flex1,
.box-flex1 {
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
}
.hbox.box-flex,
.vbox.box-flex,
.box-flex {
  /* Old browsers */
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
}
.hbox.box-flex2,
.vbox.box-flex2,
.box-flex2 {
  /* Old browsers */
  -webkit-box-flex: 2;
  -moz-box-flex: 2;
  box-flex: 2;
  /* Modern browsers */
  flex: 2;
}
.box-group1 {
  /*  Deprecated */
  -webkit-box-flex-group: 1;
  -moz-box-flex-group: 1;
  box-flex-group: 1;
}
.box-group2 {
  /* Deprecated */
  -webkit-box-flex-group: 2;
  -moz-box-flex-group: 2;
  box-flex-group: 2;
}
.hbox.start,
.vbox.start,
.start {
  /* Old browsers */
  -webkit-box-pack: start;
  -moz-box-pack: start;
  box-pack: start;
  /* Modern browsers */
  justify-content: flex-start;
}
.hbox.end,
.vbox.end,
.end {
  /* Old browsers */
  -webkit-box-pack: end;
  -moz-box-pack: end;
  box-pack: end;
  /* Modern browsers */
  justify-content: flex-end;
}
.hbox.center,
.vbox.center,
.center {
  /* Old browsers */
  -webkit-box-pack: center;
  -moz-box-pack: center;
  box-pack: center;
  /* Modern browsers */
  justify-content: center;
}
.hbox.baseline,
.vbox.baseline,
.baseline {
  /* Old browsers */
  -webkit-box-pack: baseline;
  -moz-box-pack: baseline;
  box-pack: baseline;
  /* Modern browsers */
  justify-content: baseline;
}
.hbox.stretch,
.vbox.stretch,
.stretch {
  /* Old browsers */
  -webkit-box-pack: stretch;
  -moz-box-pack: stretch;
  box-pack: stretch;
  /* Modern browsers */
  justify-content: stretch;
}
.hbox.align-start,
.vbox.align-start,
.align-start {
  /* Old browsers */
  -webkit-box-align: start;
  -moz-box-align: start;
  box-align: start;
  /* Modern browsers */
  align-items: flex-start;
}
.hbox.align-end,
.vbox.align-end,
.align-end {
  /* Old browsers */
  -webkit-box-align: end;
  -moz-box-align: end;
  box-align: end;
  /* Modern browsers */
  align-items: flex-end;
}
.hbox.align-center,
.vbox.align-center,
.align-center {
  /* Old browsers */
  -webkit-box-align: center;
  -moz-box-align: center;
  box-align: center;
  /* Modern browsers */
  align-items: center;
}
.hbox.align-baseline,
.vbox.align-baseline,
.align-baseline {
  /* Old browsers */
  -webkit-box-align: baseline;
  -moz-box-align: baseline;
  box-align: baseline;
  /* Modern browsers */
  align-items: baseline;
}
.hbox.align-stretch,
.vbox.align-stretch,
.align-stretch {
  /* Old browsers */
  -webkit-box-align: stretch;
  -moz-box-align: stretch;
  box-align: stretch;
  /* Modern browsers */
  align-items: stretch;
}
div.error {
  margin: 2em;
  text-align: center;
}
div.error > h1 {
  font-size: 500%;
  line-height: normal;
}
div.error > p {
  font-size: 200%;
  line-height: normal;
}
div.traceback-wrapper {
  text-align: left;
  max-width: 800px;
  margin: auto;
}
div.traceback-wrapper pre.traceback {
  max-height: 600px;
  overflow: auto;
}
/**
 * Primary styles
 *
 * Author: Jupyter Development Team
 */
body {
  background-color: #fff;
  /* This makes sure that the body covers the entire window and needs to
       be in a different element than the display: box in wrapper below */
  position: absolute;
  left: 0px;
  right: 0px;
  top: 0px;
  bottom: 0px;
  overflow: visible;
}
body > #header {
  /* Initially hidden to prevent FLOUC */
  display: none;
  background-color: #fff;
  /* Display over codemirror */
  position: relative;
  z-index: 100;
}
body > #header #header-container {
  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 {
  color: #333;
  background-color: #fff;
  border-color: #ccc;
}
span#login_widget > .button:focus,
#logout:focus,
span#login_widget > .button.focus,
#logout.focus {
  color: #333;
  background-color: #e6e6e6;
  border-color: #8c8c8c;
}
span#login_widget > .button:hover,
#logout:hover {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
span#login_widget > .button:active,
#logout:active,
span#login_widget > .button.active,
#logout.active,
.open > .dropdown-togglespan#login_widget > .button,
.open > .dropdown-toggle#logout {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
span#login_widget > .button:active:hover,
#logout:active:hover,
span#login_widget > .button.active:hover,
#logout.active:hover,
.open > .dropdown-togglespan#login_widget > .button:hover,
.open > .dropdown-toggle#logout:hover,
span#login_widget > .button:active:focus,
#logout:active:focus,
span#login_widget > .button.active:focus,
#logout.active:focus,
.open > .dropdown-togglespan#login_widget > .button:focus,
.open > .dropdown-toggle#logout:focus,
span#login_widget > .button:active.focus,
#logout:active.focus,
span#login_widget > .button.active.focus,
#logout.active.focus,
.open > .dropdown-togglespan#login_widget > .button.focus,
.open > .dropdown-toggle#logout.focus {
  color: #333;
  background-color: #d4d4d4;
  border-color: #8c8c8c;
}
span#login_widget > .button:active,
#logout:active,
span#login_widget > .button.active,
#logout.active,
.open > .dropdown-togglespan#login_widget > .button,
.open > .dropdown-toggle#logout {
  background-image: none;
}
span#login_widget > .button.disabled:hover,
#logout.disabled:hover,
span#login_widget > .button[disabled]:hover,
#logout[disabled]:hover,
fieldset[disabled] span#login_widget > .button:hover,
fieldset[disabled] #logout:hover,
span#login_widget > .button.disabled:focus,
#logout.disabled:focus,
span#login_widget > .button[disabled]:focus,
#logout[disabled]:focus,
fieldset[disabled] span#login_widget > .button:focus,
fieldset[disabled] #logout:focus,
span#login_widget > .button.disabled.focus,
#logout.disabled.focus,
span#login_widget > .button[disabled].focus,
#logout[disabled].focus,
fieldset[disabled] span#login_widget > .button.focus,
fieldset[disabled] #logout.focus {
  background-color: #fff;
  border-color: #ccc;
}
span#login_widget > .button .badge,
#logout .badge {
  color: #fff;
  background-color: #333;
}
.nav-header {
  text-transform: none;
}
#header > span {
  margin-top: 10px;
}
.modal_stretch .modal-dialog {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  min-height: 80vh;
}
.modal_stretch .modal-dialog .modal-body {
  max-height: calc(100vh - 200px);
  overflow: auto;
  flex: 1;
}
.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;
  }
}
/*!
*
* 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: #EEE;
}
.list_placeholder {
  font-weight: bold;
  padding-top: 4px;
  padding-bottom: 4px;
  padding-left: 7px;
  padding-right: 7px;
}
.list_container {
  margin-top: 4px;
  margin-bottom: 20px;
  border: 1px solid #ddd;
  border-radius: 2px;
}
.list_container > div {
  border-bottom: 1px solid #ddd;
}
.list_container > div:hover .list-item {
  background-color: red;
}
.list_container > div:last-child {
  border: none;
}
.list_item:hover .list_item {
  background-color: #ddd;
}
.list_item a {
  text-decoration: none;
}
.list_item:hover {
  background-color: #fafafa;
}
.list_header > div,
.list_item > div {
  padding-top: 4px;
  padding-bottom: 4px;
  padding-left: 7px;
  padding-right: 7px;
  line-height: 22px;
}
.list_header > div input,
.list_item > div input {
  margin-right: 7px;
  margin-left: 14px;
  vertical-align: 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;
}
[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: #5cb85c;
}
.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: #EEE;
  padding-top: 4px;
  padding-bottom: 4px;
  padding-left: 7px;
  padding-right: 7px;
  line-height: 22px;
}
#running .panel-group .panel .panel-heading a:focus,
#running .panel-group .panel .panel-heading a:hover {
  text-decoration: none;
}
#running .panel-group .panel .panel-body {
  padding: 0px;
}
#running .panel-group .panel .panel-body .list_container {
  margin-top: 0px;
  margin-bottom: 0px;
  border: 0px;
  border-radius: 0px;
}
#running .panel-group .panel .panel-body .list_container .list_item {
  border-bottom: 1px solid #ddd;
}
#running .panel-group .panel .panel-body .list_container .list_item:last-child {
  border-bottom: 0px;
}
.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: #EEE;
  }
}
@media print {
  #texteditor-backdrop #texteditor-container .CodeMirror-gutter,
  #texteditor-backdrop #texteditor-container .CodeMirror-gutters {
    background-color: #fff;
  }
}
@media not print {
  #texteditor-backdrop #texteditor-container .CodeMirror-gutter,
  #texteditor-backdrop #texteditor-container .CodeMirror-gutters {
    background-color: #fff;
  }
}
@media not print {
  #texteditor-backdrop #texteditor-container {
    padding: 0px;
    background-color: #fff;
    -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
    box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  }
}
.CodeMirror-dialog {
  background-color: #fff;
}
/*!
*
* 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-black-fg {
  color: #3E424D;
}
.ansi-black-bg {
  background-color: #3E424D;
}
.ansi-black-intense-fg {
  color: #282C36;
}
.ansi-black-intense-bg {
  background-color: #282C36;
}
.ansi-red-fg {
  color: #E75C58;
}
.ansi-red-bg {
  background-color: #E75C58;
}
.ansi-red-intense-fg {
  color: #B22B31;
}
.ansi-red-intense-bg {
  background-color: #B22B31;
}
.ansi-green-fg {
  color: #00A250;
}
.ansi-green-bg {
  background-color: #00A250;
}
.ansi-green-intense-fg {
  color: #007427;
}
.ansi-green-intense-bg {
  background-color: #007427;
}
.ansi-yellow-fg {
  color: #DDB62B;
}
.ansi-yellow-bg {
  background-color: #DDB62B;
}
.ansi-yellow-intense-fg {
  color: #B27D12;
}
.ansi-yellow-intense-bg {
  background-color: #B27D12;
}
.ansi-blue-fg {
  color: #208FFB;
}
.ansi-blue-bg {
  background-color: #208FFB;
}
.ansi-blue-intense-fg {
  color: #0065CA;
}
.ansi-blue-intense-bg {
  background-color: #0065CA;
}
.ansi-magenta-fg {
  color: #D160C4;
}
.ansi-magenta-bg {
  background-color: #D160C4;
}
.ansi-magenta-intense-fg {
  color: #A03196;
}
.ansi-magenta-intense-bg {
  background-color: #A03196;
}
.ansi-cyan-fg {
  color: #60C6C8;
}
.ansi-cyan-bg {
  background-color: #60C6C8;
}
.ansi-cyan-intense-fg {
  color: #258F8F;
}
.ansi-cyan-intense-bg {
  background-color: #258F8F;
}
.ansi-white-fg {
  color: #C5C1B4;
}
.ansi-white-bg {
  background-color: #C5C1B4;
}
.ansi-white-intense-fg {
  color: #A1A6B2;
}
.ansi-white-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;
}
/* The following styles are deprecated an will be removed in a future version */
.ansibold {
  font-weight: bold;
}
.ansi-inverse {
  outline: 0.5px dotted;
}
/* use dark versions for foreground, to improve visibility */
.ansiblack {
  color: black;
}
.ansired {
  color: darkred;
}
.ansigreen {
  color: darkgreen;
}
.ansiyellow {
  color: #c4a000;
}
.ansiblue {
  color: darkblue;
}
.ansipurple {
  color: darkviolet;
}
.ansicyan {
  color: steelblue;
}
.ansigray {
  color: gray;
}
/* and light for background, for the same reason */
.ansibgblack {
  background-color: black;
}
.ansibgred {
  background-color: red;
}
.ansibggreen {
  background-color: green;
}
.ansibgyellow {
  background-color: yellow;
}
.ansibgblue {
  background-color: blue;
}
.ansibgpurple {
  background-color: magenta;
}
.ansibgcyan {
  background-color: cyan;
}
.ansibggray {
  background-color: gray;
}
div.cell {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  border-radius: 2px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  border-width: 1px;
  border-style: solid;
  border-color: transparent;
  width: 100%;
  padding: 5px;
  /* This acts as a spacer between cells, that is outside the border */
  margin: 0px;
  outline: none;
  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: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
}
/* input_area and input_prompt must match in top border and margin for alignment */
div.input_area {
  border: 1px solid #cfcfcf;
  border-radius: 2px;
  background: #f7f7f7;
  line-height: 1.21429em;
}
/* This is needed so that empty prompt areas can collapse to zero height when there
   is no content in the output_subarea and the prompt. The main purpose of this is
   to make sure that empty JavaScript output_subareas have no height. */
div.prompt:empty {
  padding-top: 0;
  padding-bottom: 0;
}
div.unrecognized_cell {
  padding: 5px 5px 5px 0px;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
div.unrecognized_cell .inner_cell {
  border-radius: 2px;
  padding: 5px;
  font-weight: bold;
  color: red;
  border: 1px solid #cfcfcf;
  background: #eaeaea;
}
div.unrecognized_cell .inner_cell a {
  color: inherit;
  text-decoration: none;
}
div.unrecognized_cell .inner_cell a:hover {
  color: inherit;
  text-decoration: none;
}
@media (max-width: 540px) {
  div.unrecognized_cell > div.prompt {
    display: none;
  }
}
div.code_cell {
  /* avoid page breaking on code cells when printing */
}
@media print {
  div.code_cell {
    page-break-inside: avoid;
  }
}
/* any special styling for code cells that are currently running goes here */
div.input {
  page-break-inside: avoid;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
@media (max-width: 540px) {
  div.input {
    /* Old browsers */
    display: -webkit-box;
    -webkit-box-orient: vertical;
    -webkit-box-align: stretch;
    display: -moz-box;
    -moz-box-orient: vertical;
    -moz-box-align: stretch;
    display: box;
    box-orient: vertical;
    box-align: stretch;
    /* Modern browsers */
    display: flex;
    flex-direction: column;
    align-items: stretch;
  }
}
/* input_area and input_prompt must match in top border and margin for alignment */
div.input_prompt {
  color: #303F9F;
  border-top: 1px solid transparent;
}
div.input_area > div.highlight {
  margin: 0.4em;
  border: none;
  padding: 0px;
  background-color: transparent;
}
div.input_area > div.highlight > pre {
  margin: 0px;
  border: none;
  padding: 0px;
  background-color: transparent;
}
/* The following gets added to the <head> if it is detected that the user has a
 * monospace font with inconsistent normal/bold/italic height.  See
 * notebookmain.js.  Such fonts will have keywords vertically offset with
 * respect to the rest of the text.  The user should select a better font.
 * See: https://github.com/ipython/ipython/issues/1503
 *
 * .CodeMirror span {
 *      vertical-align: bottom;
 * }
 */
.CodeMirror {
  line-height: 1.21429em;
  /* Changed from 1em to our global default */
  font-size: 14px;
  height: auto;
  /* Changed to auto to autogrow */
  background: none;
  /* Changed from white to allow our bg to show through */
}
.CodeMirror-scroll {
  /*  The CodeMirror docs are a bit fuzzy on if overflow-y should be hidden or visible.*/
  /*  We have found that if it is visible, vertical scrollbars appear with font size changes.*/
  overflow-y: hidden;
  overflow-x: auto;
}
.CodeMirror-lines {
  /* In CM2, this used to be 0.4em, but in CM3 it went to 4px. We need the em value because */
  /* we have set a different line-height and want this to scale with that. */
  /* 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: #000;
}
.highlight-variable {
  color: #000;
}
.highlight-variable-2 {
  color: #1a1a1a;
}
.highlight-variable-3 {
  color: #333333;
}
.highlight-string {
  color: #BA2121;
}
.highlight-comment {
  color: #408080;
  font-style: italic;
}
.highlight-number {
  color: #080;
}
.highlight-atom {
  color: #88F;
}
.highlight-keyword {
  color: #008000;
  font-weight: bold;
}
.highlight-builtin {
  color: #008000;
}
.highlight-error {
  color: #f00;
}
.highlight-operator {
  color: #AA22FF;
  font-weight: bold;
}
.highlight-meta {
  color: #AA22FF;
}
/* previously not defined, copying from default codemirror */
.highlight-def {
  color: #00f;
}
.highlight-string-2 {
  color: #f50;
}
.highlight-qualifier {
  color: #555;
}
.highlight-bracket {
  color: #997;
}
.highlight-tag {
  color: #170;
}
.highlight-attribute {
  color: #00c;
}
.highlight-header {
  color: blue;
}
.highlight-quote {
  color: #090;
}
.highlight-link {
  color: #00c;
}
/* apply the same style to codemirror */
.cm-s-ipython span.cm-keyword {
  color: #008000;
  font-weight: bold;
}
.cm-s-ipython span.cm-atom {
  color: #88F;
}
.cm-s-ipython span.cm-number {
  color: #080;
}
.cm-s-ipython span.cm-def {
  color: #00f;
}
.cm-s-ipython span.cm-variable {
  color: #000;
}
.cm-s-ipython span.cm-operator {
  color: #AA22FF;
  font-weight: bold;
}
.cm-s-ipython span.cm-variable-2 {
  color: #1a1a1a;
}
.cm-s-ipython span.cm-variable-3 {
  color: #333333;
}
.cm-s-ipython span.cm-comment {
  color: #408080;
  font-style: italic;
}
.cm-s-ipython span.cm-string {
  color: #BA2121;
}
.cm-s-ipython span.cm-string-2 {
  color: #f50;
}
.cm-s-ipython span.cm-meta {
  color: #AA22FF;
}
.cm-s-ipython span.cm-qualifier {
  color: #555;
}
.cm-s-ipython span.cm-builtin {
  color: #008000;
}
.cm-s-ipython span.cm-bracket {
  color: #997;
}
.cm-s-ipython span.cm-tag {
  color: #170;
}
.cm-s-ipython span.cm-attribute {
  color: #00c;
}
.cm-s-ipython span.cm-header {
  color: blue;
}
.cm-s-ipython span.cm-quote {
  color: #090;
}
.cm-s-ipython span.cm-link {
  color: #00c;
}
.cm-s-ipython span.cm-error {
  color: #f00;
}
.cm-s-ipython span.cm-tab {
  background: url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADAAAAAMCAYAAAAkuj5RAAAAAXNSR0IArs4c6QAAAGFJREFUSMft1LsRQFAQheHPowAKoACx3IgEKtaEHujDjORSgWTH/ZOdnZOcM/sgk/kFFWY0qV8foQwS4MKBCS3qR6ixBJvElOobYAtivseIE120FaowJPN75GMu8j/LfMwNjh4HUpwg4LUAAAAASUVORK5CYII=);
  background-position: right;
  background-repeat: no-repeat;
}
div.output_wrapper {
  /* this position must be relative to enable descendents to be absolute within it */
  position: relative;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  z-index: 1;
}
/* class for the output area when it should be height-limited */
div.output_scroll {
  /* ideally, this would be max-height, but FF barfs all over that */
  height: 24em;
  /* FF needs this *and the wrapper* to specify full width, or it will shrinkwrap */
  width: 100%;
  overflow: auto;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 2px 8px rgba(0, 0, 0, 0.8);
  box-shadow: inset 0 2px 8px rgba(0, 0, 0, 0.8);
  display: block;
}
/* output div while it is collapsed */
div.output_collapsed {
  margin: 0px;
  padding: 0px;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
}
div.out_prompt_overlay {
  height: 100%;
  padding: 0px 0.4em;
  position: absolute;
  border-radius: 2px;
}
div.out_prompt_overlay:hover {
  /* use inner shadow to get border that is computed the same on WebKit/FF */
  -webkit-box-shadow: inset 0 0 1px #000;
  box-shadow: inset 0 0 1px #000;
  background: rgba(240, 240, 240, 0.5);
}
div.output_prompt {
  color: #D84315;
}
/* This class is the outer container of all output sections. */
div.output_area {
  padding: 0px;
  page-break-inside: avoid;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
div.output_area .MathJax_Display {
  text-align: left !important;
}
div.output_area .rendered_html table {
  margin-left: 0;
  margin-right: 0;
}
div.output_area .rendered_html img {
  margin-left: 0;
  margin-right: 0;
}
div.output_area img,
div.output_area svg {
  max-width: 100%;
  height: auto;
}
div.output_area img.unconfined,
div.output_area svg.unconfined {
  max-width: none;
}
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;
}
@media (max-width: 540px) {
  div.output_area {
    /* Old browsers */
    display: -webkit-box;
    -webkit-box-orient: vertical;
    -webkit-box-align: stretch;
    display: -moz-box;
    -moz-box-orient: vertical;
    -moz-box-align: stretch;
    display: box;
    box-orient: vertical;
    box-align: stretch;
    /* Modern browsers */
    display: flex;
    flex-direction: column;
    align-items: stretch;
  }
}
div.output_area pre {
  margin: 0;
  padding: 1px 0 1px 0;
  border: 0;
  vertical-align: baseline;
  color: black;
  background-color: transparent;
  border-radius: 0;
}
/* This class is for the output subarea inside the output_area and after
   the prompt div. */
div.output_subarea {
  overflow-x: auto;
  padding: 0.4em;
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
  max-width: calc(100% - 14ex);
}
div.output_scroll div.output_subarea {
  overflow-x: visible;
}
/* The rest of the output_* classes are for special styling of the different
   output types */
/* all text output has this class: */
div.output_text {
  text-align: left;
  color: #000;
  /* This has to match that of the the CodeMirror class line-height below */
  line-height: 1.21429em;
}
/* stdout/stderr are 'text' as well as 'stream', but execute_result/error are *not* streams */
div.output_stderr {
  background: #fdd;
  /* very light red background for stderr */
}
div.output_latex {
  text-align: left;
}
/* Empty output_javascript divs should have no height */
div.output_javascript:empty {
  padding: 0;
}
.js-error {
  color: darkred;
}
/* raw_input styles */
div.raw_input_container {
  line-height: 1.21429em;
  padding-top: 5px;
}
pre.raw_input_prompt {
  /* nothing needed here. */
}
input.raw_input {
  font-family: monospace;
  font-size: inherit;
  color: inherit;
  width: auto;
  /* make sure input baseline aligns with prompt */
  vertical-align: baseline;
  /* padding + margin = 0.5em between prompt and cursor */
  padding: 0em 0.25em;
  margin: 0em 0.25em;
}
input.raw_input:focus {
  box-shadow: none;
}
p.p-space {
  margin-bottom: 10px;
}
div.output_unrecognized {
  padding: 5px;
  font-weight: bold;
  color: red;
}
div.output_unrecognized a {
  color: inherit;
  text-decoration: none;
}
div.output_unrecognized a:hover {
  color: inherit;
  text-decoration: none;
}
.rendered_html {
  color: #000;
  /* any extras will just be numbers: */
}
.rendered_html em {
  font-style: italic;
}
.rendered_html strong {
  font-weight: bold;
}
.rendered_html u {
  text-decoration: underline;
}
.rendered_html :link {
  text-decoration: underline;
}
.rendered_html :visited {
  text-decoration: underline;
}
.rendered_html h1 {
  font-size: 185.7%;
  margin: 1.08em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h2 {
  font-size: 157.1%;
  margin: 1.27em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h3 {
  font-size: 128.6%;
  margin: 1.55em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h4 {
  font-size: 100%;
  margin: 2em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h5 {
  font-size: 100%;
  margin: 2em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
  font-style: italic;
}
.rendered_html h6 {
  font-size: 100%;
  margin: 2em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
  font-style: italic;
}
.rendered_html h1:first-child {
  margin-top: 0.538em;
}
.rendered_html h2:first-child {
  margin-top: 0.636em;
}
.rendered_html h3:first-child {
  margin-top: 0.777em;
}
.rendered_html h4:first-child {
  margin-top: 1em;
}
.rendered_html h5:first-child {
  margin-top: 1em;
}
.rendered_html h6:first-child {
  margin-top: 1em;
}
.rendered_html ul: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: black;
  background-color: black;
}
.rendered_html pre {
  margin: 1em 2em;
  padding: 0px;
  background-color: #fff;
}
.rendered_html code {
  background-color: #eff0f1;
}
.rendered_html p code {
  padding: 1px 5px;
}
.rendered_html pre code {
  background-color: #fff;
}
.rendered_html pre,
.rendered_html code {
  border: 0;
  color: #000;
  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: black;
  font-size: 12px;
  table-layout: fixed;
}
.rendered_html thead {
  border-bottom: 1px solid black;
  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;
}
@media (max-width: 540px) {
  div.text_cell > div.prompt {
    display: none;
  }
}
div.text_cell_render {
  /*font-family: "Helvetica Neue", Arial, Helvetica, Geneva, sans-serif;*/
  outline: none;
  resize: none;
  width: inherit;
  border-style: none;
  padding: 0.5em 0.5em 0.5em 0.4em;
  color: #000;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
a.anchor-link:link {
  text-decoration: none;
  padding: 0px 20px;
  visibility: hidden;
}
h1:hover .anchor-link,
h2:hover .anchor-link,
h3:hover .anchor-link,
h4:hover .anchor-link,
h5:hover .anchor-link,
h6:hover .anchor-link {
  visibility: visible;
}
.text_cell.rendered .input_area {
  display: none;
}
.text_cell.rendered .rendered_html {
  overflow-x: auto;
  overflow-y: hidden;
}
.text_cell.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;
  margin: 0px;
  outline: none;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  min-height: 100%;
}
@media not print {
  #notebook-container {
    padding: 15px;
    background-color: #fff;
    min-height: 0;
    -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
    box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  }
}
@media print {
  #notebook-container {
    width: 100%;
  }
}
div.ui-widget-content {
  border: 1px solid #ababab;
  outline: none;
}
pre.dialog {
  background-color: #f7f7f7;
  border: 1px solid #ddd;
  border-radius: 2px;
  padding: 0.4em;
  padding-left: 2em;
}
p.dialog {
  padding: 0.2em;
}
/* Word-wrap output correctly.  This is the CSS3 spelling, though Firefox seems
   to not honor it correctly.  Webkit browsers (Chrome, rekonq, Safari) do.
 */
pre,
code,
kbd,
samp {
  white-space: pre-wrap;
}
#fonttest {
  font-family: monospace;
}
p {
  margin-bottom: 0;
}
.end_space {
  min-height: 100px;
  transition: height .2s ease;
}
.notebook_app > #header {
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
}
@media not print {
  .notebook_app {
    background-color: #EEE;
  }
}
kbd {
  border-style: solid;
  border-width: 1px;
  box-shadow: none;
  margin: 2px;
  padding-left: 2px;
  padding-right: 2px;
  padding-top: 1px;
  padding-bottom: 1px;
}
.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-pack: end;
  -moz-box-pack: end;
  box-pack: end;
  /* Modern browsers */
  justify-content: flex-end;
  display: -webkit-flex;
}
@media print {
  .celltoolbar {
    display: none;
  }
}
.ctb_hideshow {
  display: none;
  vertical-align: bottom;
}
/* ctb_show is added to the ctb_hideshow div to show the cell toolbar.
   Cell toolbars are only shown when the ctb_global_show class is also set.
*/
.ctb_global_show .ctb_show.ctb_hideshow {
  display: block;
}
.ctb_global_show .ctb_show + .input_area,
.ctb_global_show .ctb_show + div.text_cell_input,
.ctb_global_show .ctb_show ~ div.text_cell_render {
  border-top-right-radius: 0px;
  border-top-left-radius: 0px;
}
.ctb_global_show .ctb_show ~ div.text_cell_render {
  border: 1px solid #cfcfcf;
}
.celltoolbar {
  font-size: 87%;
  padding-top: 3px;
}
.celltoolbar select {
  display: block;
  width: 100%;
  height: 32px;
  padding: 6px 12px;
  font-size: 13px;
  line-height: 1.42857143;
  color: #555555;
  background-color: #fff;
  background-image: none;
  border: 1px solid #ccc;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  -webkit-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  -o-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
  width: inherit;
  font-size: inherit;
  height: 22px;
  padding: 0px;
  display: inline-block;
}
.celltoolbar select:focus {
  border-color: #66afe9;
  outline: 0;
  -webkit-box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
  box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
}
.celltoolbar select::-moz-placeholder {
  color: #999;
  opacity: 1;
}
.celltoolbar select:-ms-input-placeholder {
  color: #999;
}
.celltoolbar select::-webkit-input-placeholder {
  color: #999;
}
.celltoolbar select::-ms-expand {
  border: 0;
  background-color: transparent;
}
.celltoolbar select[disabled],
.celltoolbar select[readonly],
fieldset[disabled] .celltoolbar select {
  background-color: #eeeeee;
  opacity: 1;
}
.celltoolbar select[disabled],
fieldset[disabled] .celltoolbar select {
  cursor: not-allowed;
}
textarea.celltoolbar select {
  height: auto;
}
select.celltoolbar select {
  height: 30px;
  line-height: 30px;
}
textarea.celltoolbar select,
select[multiple].celltoolbar select {
  height: auto;
}
.celltoolbar label {
  margin-left: 5px;
  margin-right: 5px;
}
.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), #EEE);
}
.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: #fff;
  background-image: none;
  border: 1px solid #ccc;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  -webkit-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  -o-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
  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: #999;
  opacity: 1;
}
.cell-tag:-ms-input-placeholder,
.tags-input input:-ms-input-placeholder,
.tags-input button:-ms-input-placeholder {
  color: #999;
}
.cell-tag::-webkit-input-placeholder,
.tags-input input::-webkit-input-placeholder,
.tags-input button::-webkit-input-placeholder {
  color: #999;
}
.cell-tag::-ms-expand,
.tags-input input::-ms-expand,
.tags-input button::-ms-expand {
  border: 0;
  background-color: transparent;
}
.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: #000;
  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: #777;
  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: #777;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
  border-left: 1px solid;
}
#kernel_indicator .kernel_indicator_name {
  padding-left: 5px;
  padding-right: 5px;
}
[dir="rtl"] #kernel_indicator {
  float: left !important;
  float: left;
  border-left: 0;
  border-right: 1px solid;
}
#modal_indicator {
  float: right !important;
  float: right;
  color: #777;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
}
[dir="rtl"] #modal_indicator {
  float: left !important;
  float: left;
}
#readonly-indicator {
  float: right !important;
  float: right;
  color: #777;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
  margin-top: 2px;
  margin-bottom: 0px;
  margin-left: 0px;
  margin-right: 0px;
  display: none;
}
.modal_indicator:before {
  width: 1.28571429em;
  text-align: center;
}
.edit_mode .modal_indicator:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f040";
}
.edit_mode .modal_indicator:before.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: #777;
  z-index: 10;
  background: rgba(240, 240, 240, 0.5);
  margin-right: 4px;
  color: #333;
  background-color: #fff;
  border-color: #ccc;
}
.notification_widget:focus,
.notification_widget.focus {
  color: #333;
  background-color: #e6e6e6;
  border-color: #8c8c8c;
}
.notification_widget:hover {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.notification_widget:active,
.notification_widget.active,
.open > .dropdown-toggle.notification_widget {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.notification_widget:active:hover,
.notification_widget.active:hover,
.open > .dropdown-toggle.notification_widget:hover,
.notification_widget:active:focus,
.notification_widget.active:focus,
.open > .dropdown-toggle.notification_widget:focus,
.notification_widget:active.focus,
.notification_widget.active.focus,
.open > .dropdown-toggle.notification_widget.focus {
  color: #333;
  background-color: #d4d4d4;
  border-color: #8c8c8c;
}
.notification_widget:active,
.notification_widget.active,
.open > .dropdown-toggle.notification_widget {
  background-image: none;
}
.notification_widget.disabled:hover,
.notification_widget[disabled]:hover,
fieldset[disabled] .notification_widget:hover,
.notification_widget.disabled:focus,
.notification_widget[disabled]:focus,
fieldset[disabled] .notification_widget:focus,
.notification_widget.disabled.focus,
.notification_widget[disabled].focus,
fieldset[disabled] .notification_widget.focus {
  background-color: #fff;
  border-color: #ccc;
}
.notification_widget .badge {
  color: #fff;
  background-color: #333;
}
.notification_widget.warning {
  color: #fff;
  background-color: #f0ad4e;
  border-color: #eea236;
}
.notification_widget.warning:focus,
.notification_widget.warning.focus {
  color: #fff;
  background-color: #ec971f;
  border-color: #985f0d;
}
.notification_widget.warning:hover {
  color: #fff;
  background-color: #ec971f;
  border-color: #d58512;
}
.notification_widget.warning:active,
.notification_widget.warning.active,
.open > .dropdown-toggle.notification_widget.warning {
  color: #fff;
  background-color: #ec971f;
  border-color: #d58512;
}
.notification_widget.warning:active:hover,
.notification_widget.warning.active:hover,
.open > .dropdown-toggle.notification_widget.warning:hover,
.notification_widget.warning:active:focus,
.notification_widget.warning.active:focus,
.open > .dropdown-toggle.notification_widget.warning:focus,
.notification_widget.warning:active.focus,
.notification_widget.warning.active.focus,
.open > .dropdown-toggle.notification_widget.warning.focus {
  color: #fff;
  background-color: #d58512;
  border-color: #985f0d;
}
.notification_widget.warning:active,
.notification_widget.warning.active,
.open > .dropdown-toggle.notification_widget.warning {
  background-image: none;
}
.notification_widget.warning.disabled:hover,
.notification_widget.warning[disabled]:hover,
fieldset[disabled] .notification_widget.warning:hover,
.notification_widget.warning.disabled:focus,
.notification_widget.warning[disabled]:focus,
fieldset[disabled] .notification_widget.warning:focus,
.notification_widget.warning.disabled.focus,
.notification_widget.warning[disabled].focus,
fieldset[disabled] .notification_widget.warning.focus {
  background-color: #f0ad4e;
  border-color: #eea236;
}
.notification_widget.warning .badge {
  color: #f0ad4e;
  background-color: #fff;
}
.notification_widget.success {
  color: #fff;
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.notification_widget.success:focus,
.notification_widget.success.focus {
  color: #fff;
  background-color: #449d44;
  border-color: #255625;
}
.notification_widget.success:hover {
  color: #fff;
  background-color: #449d44;
  border-color: #398439;
}
.notification_widget.success:active,
.notification_widget.success.active,
.open > .dropdown-toggle.notification_widget.success {
  color: #fff;
  background-color: #449d44;
  border-color: #398439;
}
.notification_widget.success:active:hover,
.notification_widget.success.active:hover,
.open > .dropdown-toggle.notification_widget.success:hover,
.notification_widget.success:active:focus,
.notification_widget.success.active:focus,
.open > .dropdown-toggle.notification_widget.success:focus,
.notification_widget.success:active.focus,
.notification_widget.success.active.focus,
.open > .dropdown-toggle.notification_widget.success.focus {
  color: #fff;
  background-color: #398439;
  border-color: #255625;
}
.notification_widget.success:active,
.notification_widget.success.active,
.open > .dropdown-toggle.notification_widget.success {
  background-image: none;
}
.notification_widget.success.disabled:hover,
.notification_widget.success[disabled]:hover,
fieldset[disabled] .notification_widget.success:hover,
.notification_widget.success.disabled:focus,
.notification_widget.success[disabled]:focus,
fieldset[disabled] .notification_widget.success:focus,
.notification_widget.success.disabled.focus,
.notification_widget.success[disabled].focus,
fieldset[disabled] .notification_widget.success.focus {
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.notification_widget.success .badge {
  color: #5cb85c;
  background-color: #fff;
}
.notification_widget.info {
  color: #fff;
  background-color: #5bc0de;
  border-color: #46b8da;
}
.notification_widget.info:focus,
.notification_widget.info.focus {
  color: #fff;
  background-color: #31b0d5;
  border-color: #1b6d85;
}
.notification_widget.info:hover {
  color: #fff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.notification_widget.info:active,
.notification_widget.info.active,
.open > .dropdown-toggle.notification_widget.info {
  color: #fff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.notification_widget.info:active:hover,
.notification_widget.info.active:hover,
.open > .dropdown-toggle.notification_widget.info:hover,
.notification_widget.info:active:focus,
.notification_widget.info.active:focus,
.open > .dropdown-toggle.notification_widget.info:focus,
.notification_widget.info:active.focus,
.notification_widget.info.active.focus,
.open > .dropdown-toggle.notification_widget.info.focus {
  color: #fff;
  background-color: #269abc;
  border-color: #1b6d85;
}
.notification_widget.info:active,
.notification_widget.info.active,
.open > .dropdown-toggle.notification_widget.info {
  background-image: none;
}
.notification_widget.info.disabled:hover,
.notification_widget.info[disabled]:hover,
fieldset[disabled] .notification_widget.info:hover,
.notification_widget.info.disabled:focus,
.notification_widget.info[disabled]:focus,
fieldset[disabled] .notification_widget.info:focus,
.notification_widget.info.disabled.focus,
.notification_widget.info[disabled].focus,
fieldset[disabled] .notification_widget.info.focus {
  background-color: #5bc0de;
  border-color: #46b8da;
}
.notification_widget.info .badge {
  color: #5bc0de;
  background-color: #fff;
}
.notification_widget.danger {
  color: #fff;
  background-color: #d9534f;
  border-color: #d43f3a;
}
.notification_widget.danger:focus,
.notification_widget.danger.focus {
  color: #fff;
  background-color: #c9302c;
  border-color: #761c19;
}
.notification_widget.danger:hover {
  color: #fff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.notification_widget.danger:active,
.notification_widget.danger.active,
.open > .dropdown-toggle.notification_widget.danger {
  color: #fff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.notification_widget.danger:active:hover,
.notification_widget.danger.active:hover,
.open > .dropdown-toggle.notification_widget.danger:hover,
.notification_widget.danger:active:focus,
.notification_widget.danger.active:focus,
.open > .dropdown-toggle.notification_widget.danger:focus,
.notification_widget.danger:active.focus,
.notification_widget.danger.active.focus,
.open > .dropdown-toggle.notification_widget.danger.focus {
  color: #fff;
  background-color: #ac2925;
  border-color: #761c19;
}
.notification_widget.danger:active,
.notification_widget.danger.active,
.open > .dropdown-toggle.notification_widget.danger {
  background-image: none;
}
.notification_widget.danger.disabled:hover,
.notification_widget.danger[disabled]:hover,
fieldset[disabled] .notification_widget.danger:hover,
.notification_widget.danger.disabled:focus,
.notification_widget.danger[disabled]:focus,
fieldset[disabled] .notification_widget.danger:focus,
.notification_widget.danger.disabled.focus,
.notification_widget.danger[disabled].focus,
fieldset[disabled] .notification_widget.danger.focus {
  background-color: #d9534f;
  border-color: #d43f3a;
}
.notification_widget.danger .badge {
  color: #d9534f;
  background-color: #fff;
}
div#pager {
  background-color: #fff;
  font-size: 14px;
  line-height: 20px;
  overflow: hidden;
  display: none;
  position: fixed;
  bottom: 0px;
  width: 100%;
  max-height: 50%;
  padding-top: 8px;
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  /* Display over codemirror */
  z-index: 100;
  /* Hack which prevents jquery ui resizable from changing top. */
  top: auto !important;
}
div#pager pre {
  line-height: 1.21429em;
  color: #000;
  background-color: #f7f7f7;
  padding: 0.4em;
}
div#pager #pager-button-area {
  position: absolute;
  top: 8px;
  right: 20px;
}
div#pager #pager-contents {
  position: relative;
  overflow: auto;
  width: 100%;
  height: 100%;
}
div#pager #pager-contents #pager-container {
  position: relative;
  padding: 15px 0px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
div#pager .ui-resizable-handle {
  top: 0px;
  height: 8px;
  background: #f7f7f7;
  border-top: 1px solid #cfcfcf;
  border-bottom: 1px solid #cfcfcf;
  /* This injects handle bars (a short, wide = symbol) for 
        the resize handle. */
}
div#pager .ui-resizable-handle::after {
  content: '';
  top: 2px;
  left: 50%;
  height: 3px;
  width: 30px;
  margin-left: -15px;
  position: absolute;
  border-top: 1px solid #cfcfcf;
}
.quickhelp {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
  line-height: 1.8em;
}
.shortcut_key {
  display: inline-block;
  width: 21ex;
  text-align: right;
  font-family: monospace;
}
.shortcut_descr {
  display: inline-block;
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
}
span.save_widget {
  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: 80px;
}
.tooltipbuttons {
  position: absolute;
  padding-right: 15px;
  top: 0px;
  right: 0px;
}
.tooltiptext {
  /*avoid the button to overlap on some docstring*/
  padding-right: 30px;
}
.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: #EEE;
}
.terminal-app #header {
  background: #fff;
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
}
.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);
}
.terminal-app .terminal,
.terminal-app .terminal dummy-screen {
  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 {
  margin-top: 20px;
}
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<style type="text/css">
    .highlight .hll { background-color: #ffffcc }
.highlight  { background: #f8f8f8; }
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.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 */
.highlight .ow { color: #AA22FF; font-weight: bold } /* Operator.Word */
.highlight .w { color: #bbbbbb } /* Text.Whitespace */
.highlight .mb { color: #666666 } /* Literal.Number.Bin */
.highlight .mf { color: #666666 } /* Literal.Number.Float */
.highlight .mh { color: #666666 } /* Literal.Number.Hex */
.highlight .mi { color: #666666 } /* Literal.Number.Integer */
.highlight .mo { color: #666666 } /* Literal.Number.Oct */
.highlight .sa { color: #BA2121 } /* Literal.String.Affix */
.highlight .sb { color: #BA2121 } /* Literal.String.Backtick */
.highlight .sc { color: #BA2121 } /* Literal.String.Char */
.highlight .dl { color: #BA2121 } /* Literal.String.Delimiter */
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.highlight .s2 { color: #BA2121 } /* Literal.String.Double */
.highlight .se { color: #BB6622; font-weight: bold } /* Literal.String.Escape */
.highlight .sh { color: #BA2121 } /* Literal.String.Heredoc */
.highlight .si { color: #BB6688; font-weight: bold } /* Literal.String.Interpol */
.highlight .sx { color: #008000 } /* Literal.String.Other */
.highlight .sr { color: #BB6688 } /* Literal.String.Regex */
.highlight .s1 { color: #BA2121 } /* Literal.String.Single */
.highlight .ss { color: #19177C } /* Literal.String.Symbol */
.highlight .bp { color: #008000 } /* Name.Builtin.Pseudo */
.highlight .fm { color: #0000FF } /* Name.Function.Magic */
.highlight .vc { color: #19177C } /* Name.Variable.Class */
.highlight .vg { color: #19177C } /* Name.Variable.Global */
.highlight .vi { color: #19177C } /* Name.Variable.Instance */
.highlight .vm { color: #19177C } /* Name.Variable.Magic */
.highlight .il { color: #666666 } /* Literal.Number.Integer.Long */
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<style type="text/css">
/* Overrides of notebook CSS for static HTML export */
body {
  overflow: visible;
  padding: 8px;
}

div#notebook {
  overflow: visible;
  border-top: none;
}@media print {
  div.cell {
    display: block;
    page-break-inside: avoid;
  } 
  div.output_wrapper { 
    display: block;
    page-break-inside: avoid; 
  }
  div.output { 
    display: block;
    page-break-inside: avoid; 
  }
}
</style>

<!-- Custom stylesheet, it must be in the same directory as the html file -->
<link rel="stylesheet" href="custom.css">

<!-- Loading mathjax macro -->
<!-- Load mathjax -->
    <script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/latest.js?config=TeX-AMS_HTML"></script>
    <!-- MathJax configuration -->
    <script type="text/x-mathjax-config">
    MathJax.Hub.Config({
        tex2jax: {
            inlineMath: [ ['$','$'], ["\\(","\\)"] ],
            displayMath: [ ['$$','$$'], ["\\[","\\]"] ],
            processEscapes: true,
            processEnvironments: true
        },
        // Center justify equations in code and markdown cells. Elsewhere
        // we use CSS to left justify single line equations in code cells.
        displayAlign: 'center',
        "HTML-CSS": {
            styles: {'.MathJax_Display': {"margin": 0}},
            linebreaks: { automatic: true }
        }
    });
    </script>
    <!-- End of mathjax configuration --></head>
<body>
  <div tabindex="-1" id="notebook" class="border-box-sizing">
    <div class="container" id="notebook-container">

<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
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<h1 id="Uygulama-Notlar&#305;:-8.5">Uygulama Notlar&#305;: 8.5<a class="anchor-link" href="#Uygulama-Notlar&#305;:-8.5">&#182;</a></h1><h2 id="F&#304;Z220---Bilgisayar-Programlama-II-|-29/05/2020">F&#304;Z220 - Bilgisayar Programlama II | 29/05/2020<a class="anchor-link" href="#F&#304;Z220---Bilgisayar-Programlama-II-|-29/05/2020">&#182;</a></h2><p><strong>Lineer Cebir Uygulamaları &amp; Grafik Çizimi (I)</strong></p>
<ul>
<li>1. Eğik Düzleme Atılan Eğik Atış Problemi<ul>
<li>Hazır elimiz değmişken, çizdirelim de bari...<ul>
<li>Ödev #1</li>
</ul>
</li>
<li>Sonuç</li>
<li>Son söz<ul>
<li>Ödev #2</li>
</ul>
</li>
</ul>
</li>
<li>2. Sürtünmeli Eğik Düzlemde Kayan Kütle<ul>
<li>Ödev #3</li>
<li>Sonuç</li>
<li>Welcome to Sadet...<ul>
<li>Kısa bir ara</li>
</ul>
</li>
<li>Son söz</li>
</ul>
</li>
</ul>
<p>Dr. Emre S. Taşcı, emre.tasci@hacettepe.edu.tr<br>
Fizik Mühendisliği Bölümü<br>
Hacettepe Üniversitesi</p>

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<h1 id="1.-E&#287;ik-D&#252;zleme-At&#305;lan-E&#287;ik-At&#305;&#351;-Problemi">1. E&#287;ik D&#252;zleme At&#305;lan E&#287;ik At&#305;&#351; Problemi<a class="anchor-link" href="#1.-E&#287;ik-D&#252;zleme-At&#305;lan-E&#287;ik-At&#305;&#351;-Problemi">&#182;</a></h1><p><strong>(Neden?)</strong>
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<p>Yatayla $\alpha$ açısı yapan bir eğik düzlemin dibinden, eğik düzleme göre $\beta$ açısı ve $V_0$ ilk hızıyla atılan bir cismin uçuş zamanını ($t_0$) ve eğik düzlem üzerine düştüğü yerin atış noktasına olan uzaklığını ($L$) bulunuz.</p>

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<p>Bu soruyu, 2016 yılında, bilgisayar mühendisliği bölümüne, FIZ137 - Fizik I dersinin 1. ara sınavında sormuşuz (Recai Hoca'yla):</p>
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" 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<p><u>**Çözüm**</u></p>
<p>En genel haliyle (sorumuzdan bağımsız olarak), $V_0$ ilk hızıyla, yatayla $\theta$ açısı yapacak şekilde atılan bir cismin $t_0$ anındaki konumunu veren hareket denklemlerini yazarak başlayalım:
$$x_0 = V_0\cos\theta\, t_0 + \frac{1}{2}\ddot{x}\,t_0^2\quad(1)\\
y_0 = V_0\sin\theta\, t_0 + \frac{1}{2}\ddot{y}\,t_0^2\quad(2)$$</p>
<p><u>**Rutin Koordinatlar**</u><br>
Bizim durumumuzda, soruya özel olarak, şu bilgiler elimizde:</p>
$$\theta = \alpha + \beta\\
\ddot{x} = 0\\
\ddot{y} = -g\\
\tan{\alpha} = \frac{y_0}{x_0}\rightarrow y_0 = x_0 \tan\alpha\quad(*)\\
x_0 = L\cos\alpha \rightarrow L = \frac{x_0}{\cos\alpha}\quad(**)$$<p>Bunları kullanarak:</p>
$$(1)\Rightarrow x_0 = V_0\cos(\alpha+\beta)\,t_0+\frac{1}{2}(0)\,t_0^2=V_0\cos(\alpha+\beta)\,t_0\\
(2)\Rightarrow y_0 = V_0\sin(\alpha+\beta)\,t_0+\frac{1}{2}(-g)\,t_0^2=V_0\sin(\alpha+\beta)\,t_0-\frac{1}{2}gt_0^2\\
(*)\Rightarrow V_0\sin(\alpha+\beta)\,t_0-\frac{1}{2}gt_0^2 = \tan\alpha\,V_0\cos(\alpha+\beta)\,t_0\\
\rightarrow \frac{1}{2}gt_0 = V_0\sin(\alpha+\beta)- V_0\tan\alpha\cos(\alpha+\beta)$$<p>$t_0$'ı yalnız bırakıp trigonometrik eşitlikleri çalıştıralım:
\begin{align*}
t_0&amp;=\frac{2V_0}{g}\left[\sin(\alpha+\beta)- \cos(\alpha+\beta)\tan\alpha\right]\\
&amp;=\frac{2V_0}{g}\left[\sin\alpha \cos\beta + \sin\beta \cos\alpha - \frac{(\cos\alpha\cos\beta-\sin\alpha \sin\beta)\sin\alpha}{\cos\alpha}\right]\\
&amp;=\frac{2V_0}{g\cos\alpha}\left[\sin\alpha\cos\alpha\cos\beta + \cos^2\alpha\sin\beta-\sin\alpha \cos\alpha \cos\beta + \sin^2\alpha\sin\beta\right]\\
&amp;=\frac{2V_0}{g\cos\alpha}\left[\sin\beta(\cos^2\alpha+\sin^2\alpha)\right]\\
&amp;=\frac{2V_0}{g}\frac{\sin\beta}{\cos\alpha}
\end{align*}
$$\boxed{t_0 = \frac{2V_0}{g}\frac{\sin\beta}{\cos\alpha}}$$</p>
<p>Artık elimizde $t_0$ olduğuna göre, önce $x_0$'ı:</p>
$$x_0 = V_0\cos(\alpha+\beta)\,t_0 = V_0\cos(\alpha+\beta)\frac{2V_0}{g}\left(\frac{\sin\beta}{\cos\alpha}\right)$$$$x_0 = \frac{2V_0^2}{g}\frac{\cos(\alpha+\beta)\sin\beta}{\cos\alpha}$$<p>$x_0$'ı kullanarak da $(**)$ eşitliğinden -nihayet- $L$'yi bulabiliriz:
$$(**)\Rightarrow \boxed{L=\frac{x_0}{\cos\alpha}=\frac{2V_0^2}{g}\frac{\cos(\alpha+\beta)\sin\beta}{\cos^2\alpha}}$$</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Sorudaki değerleri yerine koyarsak:</span>
<span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
<span class="n">alpha</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">deg2rad</span><span class="p">(</span><span class="mi">30</span><span class="p">)</span> <span class="c1"># derece -&gt; radyan</span>
<span class="n">beta</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">deg2rad</span><span class="p">(</span><span class="mi">30</span><span class="p">)</span> <span class="c1"># derece -&gt; radyan</span>
<span class="n">V0</span> <span class="o">=</span> <span class="mi">10</span> <span class="c1"># m/s</span>
<span class="n">g</span> <span class="o">=</span> <span class="mi">10</span> <span class="c1"># m/s^2</span>

<span class="n">t0</span> <span class="o">=</span> <span class="p">(</span><span class="mi">2</span><span class="o">*</span><span class="n">V0</span><span class="o">/</span><span class="n">g</span><span class="p">)</span><span class="o">*</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">beta</span><span class="p">)</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">alpha</span><span class="p">))</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;t0 = &quot;</span><span class="p">,</span><span class="n">t0</span><span class="p">,</span><span class="s2">&quot;s&quot;</span><span class="p">)</span>

<span class="c1">#x0 = (2*V0**2/g)*(np.cos(alpha+beta)*np.sin(beta)/np.cos(alpha))</span>
<span class="c1">#print(&quot;x0 = &quot;,x0,&quot; m&quot;)</span>

<span class="n">L</span> <span class="o">=</span> <span class="p">(</span><span class="mi">2</span><span class="o">*</span><span class="n">V0</span><span class="o">**</span><span class="mi">2</span><span class="o">/</span><span class="n">g</span><span class="p">)</span><span class="o">*</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">alpha</span><span class="o">+</span><span class="n">beta</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="o">/</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="mi">2</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot; L = &quot;</span><span class="p">,</span><span class="n">L</span><span class="p">,</span><span class="s2">&quot; m&quot;</span><span class="p">)</span>
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<pre>t0 =  1.1547005383792512 s
 L =  6.666666666666665  m
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<p><u>**'Normal' Koordinatlar**</u><br>
Böyle çözünce size de biraz karışık gelmiyor mu? Bence çözmeden önce birazcık kafamızı çalıştırıp, daha "uygun" bir koordinat sistemi kullanalım: sorumuzun çiziminde morla işaretlenmiş olan, $x'$nün eğik düzlemle paralel olduğu $(x',y')$ koordinat takımını. Bunun için de sistemimizi $\alpha$ kadar döndürüyoruz:</p>
<p><img src="data:image/png;base64,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" alt="projectile_inclined_plane_rotated.png"></p>
<p>Bu yeni koordinat sisteminde, yerçekimi ivmesinin yeni eksenlere göre bileşenleri şu şekilde olacaktır:</p>
<p><img src="data:image/png;base64,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" alt="projectile_inclined_plane_detay.png"></p>

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<p>$(1)$ ve $(2)$ genel hareket denklemlerini bu eksenler için yazmak için, bu koordinat sistemindeki özel durumları listeleyelim:</p>
$$\theta = \beta\\
\ddot{x'} = -g\sin\alpha\\
\ddot{y'} = -g\cos\alpha\\
y'_0 = 0\quad (*)\\
\tan{\alpha'} = \frac{y'_0}{x'_0}\rightarrow \tan\alpha' = 0 \leftrightarrow \alpha'=0\\
x'_0 = L\cos\alpha' \rightarrow L = x'_0$$<p>Bunları kullanarak:</p>
$$(1)\Rightarrow x'_0 = V_0\cos\beta\,t_0+\frac{1}{2}(-g\sin\alpha)\,t_0^2=V_0\cos\beta\,t_0-\frac{1}{2}g\sin\alpha\,t_0^2\\
(2)\Rightarrow y'_0 = V_0\sin\beta\,t_0+\frac{1}{2}(-g\cos\alpha)\,t_0^2=V_0\sin\beta\,t_0-\frac{1}{2}g\cos\alpha\,t_0^2\\
(*)\Rightarrow V_0\sin\beta\,t_0-\frac{1}{2}g\cos\alpha\,t_0^2=0\\
\rightarrow \frac{1}{2}g\cos\alpha\, t_0 = V_0\sin\beta\Rightarrow\boxed{t_0 =  \frac{2V_0}{g}\frac{\sin\beta}{\cos\alpha}}$$<p>[Bu noktada, yukarıdaki koordinat sisteminde bu aşamaya gelene kadar nelerle uğraştığımıza tekrardan bir bakmanızı rica ediyorum 8]</p>

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<p>$L$'yi de hesaplayalım:
\begin{align*}
L = x'_0 &amp;= V_0\cos\beta\,t_0-\frac{1}{2}g\sin\alpha\,t_0^2\\
&amp;=V_0\cos\beta\left( \frac{2V_0}{g}\frac{\sin\beta}{\cos\alpha}\right)-\frac{1}{2}g\sin\alpha\,\left( \frac{2V_0}{g}\frac{\sin\beta}{\cos\alpha}\right)^2\\
&amp;=V_0\cos\beta\left( \frac{2V_0}{g}\frac{\sin\beta}{\cos\alpha}\right)-\frac{1}{2}g\sin\alpha\,\left( \frac{2^2V_0^2}{g^2}\frac{\sin^2\beta}{\cos^2\alpha}\right)\\
&amp;=\frac{2V_0^2\sin\beta}{g\cos\alpha}\left(\cos\beta - \frac{\sin\alpha\sin\beta}{\cos\alpha}\right)\\
&amp;=\frac{2V_0^2\sin\beta}{g\cos^2\alpha}\left(\cos\alpha\cos\beta-\sin\alpha\sin\beta\right)\\
&amp;=\frac{2V_0^2}{g}\frac{\sin\beta\cos(\alpha+\beta)}{\cos^2\alpha}
\end{align*}</p>

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<h2 id="Haz&#305;r-elimiz-de&#287;mi&#351;ken,-&#231;izdirelim-de-bari...">Haz&#305;r elimiz de&#287;mi&#351;ken, &#231;izdirelim de bari...<a class="anchor-link" href="#Haz&#305;r-elimiz-de&#287;mi&#351;ken,-&#231;izdirelim-de-bari...">&#182;</a></h2>
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<div class="prompt input_prompt">In&nbsp;[3]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
<span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span>

<span class="n">alpha</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">deg2rad</span><span class="p">(</span><span class="mi">30</span><span class="p">)</span> <span class="c1"># derece -&gt; radyan</span>
<span class="n">beta</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">deg2rad</span><span class="p">(</span><span class="mi">30</span><span class="p">)</span> <span class="c1"># derece -&gt; radyan</span>
<span class="n">V0</span> <span class="o">=</span> <span class="mi">10</span> <span class="c1"># m/s</span>
<span class="n">g</span> <span class="o">=</span> <span class="mi">10</span> <span class="c1"># m/s^2</span>

<span class="n">t0</span> <span class="o">=</span> <span class="p">(</span><span class="mi">2</span><span class="o">*</span><span class="n">V0</span><span class="o">/</span><span class="n">g</span><span class="p">)</span><span class="o">*</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">beta</span><span class="p">)</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">alpha</span><span class="p">))</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="n">t0</span><span class="p">,</span><span class="mi">10</span><span class="p">)</span>
<span class="n">x</span> <span class="o">=</span> <span class="n">V0</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">alpha</span><span class="o">+</span><span class="n">beta</span><span class="p">)</span><span class="o">*</span><span class="n">t</span>
<span class="n">y</span> <span class="o">=</span> <span class="n">V0</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="o">+</span><span class="n">beta</span><span class="p">)</span><span class="o">*</span><span class="n">t</span> <span class="o">-</span> <span class="mf">0.5</span><span class="o">*</span><span class="n">g</span><span class="o">*</span><span class="n">t</span><span class="o">**</span><span class="mi">2</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">y</span><span class="p">,</span><span class="s2">&quot;o-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;x (m)&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 (m)&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;Rutin Koordinatlar&quot;</span><span class="p">)</span>
<span class="c1">#plt.xlim(0,8)</span>
<span class="c1">#plt.ylim(0,10)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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DA477zUPPTEE7DhhnlHZda2tcroo4iYDTwJ9Kt3aRrQE0DSKsBawKwGXj8sIiojorJ79+4ZR2vtwXvvpaUqqqpSTeG222C11fKOyqzty3L0UXdJaxeerw7sBbxer9gY4IjC858Cf4tobOS4WdNMmAA77ZSWtx45Es49N40sMrMVy3L00UbACEkdScnnnoh4QNLFQHVEjAGGA7dJmkKqIRySYTxWBkaPTk1F664LTz/thezMVlZmSSEiXgaW+ScZEefXeT4PODCrGKx8RMBvfwuDBqVawujRsNFGeUdlVnq8zIWVvHnz0kqnt90GhxwCN93kxezMmsvLXFhJe/992GOPlBB+/Wu44w4nBLOWcE3BStbLL6cZyjU18Kc/wU9/mndEZqXPNQUrSWPGwK67pn2Ux41zQjArFicFKykRcNllaZmKrbZKM5S/+c28ozJrP5wUrGTMnw8DBsDZZ8OBB8LYsbDxxnlHZda+OClYSaipgT33hBEj4MIL4a67lt0Hwcxazh3N1uZNmpQ6lN97L+2DcNBBeUdk1n65pmBt2gMPwLe/nZqOnnrKCcEsa04K1iZFwOWXw777whZbwAsvwLe+lXdUZu2fk4K1OV98AcccA2eemfZBGDcOevTIOyqz8uCkYG3KBx/A97+flqo4//zUh+AOZbPW445mazNefRX22QemT0/LVfzsZ3lHZFZ+XFOw3FRVQUVF2jd5gw3SJLS5c9P8AycEs3y4pmC5qKpKK5vOmZOOZ85MG+EMGgQ775xvbGblzDUFy8XgwUsSwmIRcMUV+cRjZomTguXinXdW7ryZtQ4nBcvFWms1fL5Xr9aNw8yWlllSkNRT0hOSXpM0WdIpDZTZXdLHkiYUHuc3dC9rX266CWbPho4dlz7fuTMMGZJPTGaWZFlTWACcERFbAbsAJ0n6RgPlxkXEDoXHxRnGY23AfffBscfCD34Aw4dD796pg7l3bxg2DPr3zztCs/KW2eijiJgBzCg8/1TSa0AP4NWsfqe1bU89BQcfnJarGDkSunaFI47IOyozq6tV+hQkVQB9gOcauPxtSRMlPSxp60ZeP1BStaTqmpqaDCO1rEyYkFY63WwzePDBlBDMrO3JPClI6gqMBE6NiE/qXX4R6B0R2wNXA6MbukdEDIuIyoio7N69e7YBW9G9+Sb065c6lx95BNZbL++IzKwxmSYFSZ1ICaEqIkbVvx4Rn0TEZ4XnDwGdJHXLMiZrXTNmpP6DBQvg0UehZ8+8IzKz5cly9JGA4cBrEdHglCRJGxbKIWmnQjwfZhWTta7Zs2HvveH99+Ghh2DLLfOOyMxWJMtlLvoChwGvSJpQOHcu0AsgIq4DfgqcIGkBMBc4JCIiw5islcydC/vtlxa5e/BB2GmnvCMys6bIcvTR04BWUOYa4JqsYrB8LFgAhxyS9kG48860FLaZlQYviGdFFZEWuhszBq65Jg1BNbPS4WUurKjOOQduvhkuuABOOinvaMxsZTkpWNH87ndw2WVw4okpKZhZ6XFSsKIYMQJ++Us46CC46qq0dIWZlR4nBWux+++Ho4+GvfaCW29ddqE7MysdTgrWIuPGpdrBjjvCqFGw6qp5R2RmLeGkYM328stpPaPevdNchDXWyDsiM2spJwVrln//G374w7Sw3aOPgpekMmsfPE/BVtr776cJafPnw9NPe7c0s/bEScFWyscfpxVPZ8yAv/4VvtHQtklmVrKcFKzJ5s1L6xlNmpRGHO2yS94RmVmxOSlYkyxYAD/7GYwdC1VVqbZgZu2PO5pthSLg+ONh9Gi48ko49NC8IzKzrDgp2AoNHgzDh8N558EvfpF3NGaWJScFW66hQ+E3v4HjjoOLL847GjPLmpOCNeq22+D00+GAA+Daa72ekVk5WGFHs6RK4LvAxqTd0SYBj0fErIxjsxw9+CAMGAB77JE6lr2ekVl5aLSmIOlISS8Cg4DVgX8CM4HvAI9JGiGp0WlLknpKekLSa5ImSzqlgTKSdJWkKZJelrRjy9+StdQzz8CBB8IOO6TOZa9nZFY+lldT6AL0jYi5DV2UtAOwOfBOI69fAJwRES9KWgMYL+mxiHi1Tpm9C/fYHNgZ+GPhp+Vk0iTYZx/o2RMeesjrGZmVm0aTQkRcu7wXRsSEFVyfAcwoPP9U0mtAD6BuUtgPuDUiAnhW0tqSNiq81lrZ22+n9Yw6d4ZHHoH11887IjNrbU3pU9gU+DlQUbd8ROzb1F8iqQLoAzxX71IP4N06x9MK55ZKCpIGAgMBenmhnUzMnAk/+AHMnQtPPQUVFXlHZGZ5aMqM5tHAcOB+YNHK/gJJXYGRwKkR8Un9yw28JJY5ETEMGAZQWVm5zHVrmU8+gb33hmnT4PHHYZtt8o7IzPLSlKQwLyKuas7NJXUiJYSqiBjVQJFpQM86x5sA05vzu6x55s2DH/8YJk6EMWNg113zjsjM8tSUeQpXSrpA0rcl7bj4saIXSRKphvFaRFzRSLExwOGFUUi7AB+7PyF7VVWpeahDB1h3XXjiCbjlFvjRj/KOzMzy1pSawrbAYcAeLGk+isLx8vQtvO4VSYs7pc8FegFExHXAQ8CPgCnAHGDAygRvK6+qCgYOhDlz0vHcudCpkyemmVmiNPBnOQWk14HtIuKL1glp+SorK6O6ujrvMEpWRQVMnbrs+d690+gjM2ufJI2PiMoVlWtK89FEYO2Wh2RtwTuNzCpp7LyZlZemNB9tALwu6QVg/uKTKzMk1dqOHj3SKKP6PNLXzKBpSeGCzKOwVrFwIay55rLnO3eGIUNaPx4za3saTQqSFMnYFZXJJjQrtksvhVdfhWOOgcceS01GvXqlhNC/f97RmVlbsLyawhOSRgL3RURti7Okr5AWxTsCeAK4JdMIrSjGjYPzz0+7pg0b5tFGZtaw5SWFfsBRwJ2FpS5mA6sBHYFHgaErWv/I2oYPPkj7K2+2GVx3nROCmTVueQvizQP+APyhMDO5GzA3Ima3VnDWchFw5JFQUwPPPutVT81s+ZrS0UxEfEm9ReqsNAwdmjbMufpq6NMn72jMrK3zdpzt2PPPw9lnw09+AiedlHc0ZlYKnBTaqdmz4eCD07yE4cPdj2BmTbPCpCDpZEnrtEYwVhwRcOyxaZLaXXfBOv6vZ2ZN1JSawobAC5LukdSvsPqptWHXXQf33guXXAK77JJ3NGZWSlaYFCLiPNIeysOBI4E3JF0i6asZx2bNMGECnHZa2jTnjDPyjsbMSk2T+hQKs5bfKzwWAOsA90q6LMPYbCV9+mnqR1hvPRgxIu2XYGa2MpqyR/MvSLOXPwBuBH4ZEV9K6gC8AZyVbYjWFBFw4okwZQr87W/QvXveEZlZKWrKPIVuwP4RsdQq/BGxSNI+2YRlK2vECLj9drj4Ythtt7yjMbNStcKkEBHnL+faa8UNx5rj1VfTPIQ99oBzz807GjMrZW51LnFz5qR+hC5dUk2hY8e8IzKzUpZZUpB0k6SZkiY1cn13SR9LmlB4NFojscadeipMmpQSwkYb5R2NmZW6Jq191Ey3ANcAty6nzLiIcL9EM911F9xwAwwaBD/4Qd7RmFl7kFlNISKeAmZldf9yN2UKDBwIffumzmUzs2LIu0/h25ImSnpY0taNFZI0UFK1pOqamprWjK9Nmj8/9SOssgrccUf6aWZWDHkmhReB3hGxPXA1MLqxghExLCIqI6Kyuwfgc9ZZ8OKLcMstaTtNM7NiyS0pRMQnEfFZ4flDQCdJ3fKKp1SMHg1XXZU6mPfdN+9ozKy9yS0pSNpw8eJ6knYqxPJhXvGUgqlTYcAAqKyE3/4272jMrD3KrDVa0p3A7kA3SdOAC4BOABFxHfBT4ARJC4C5wCGFNZasAV9+mfZZXrQojTr6ylfyjsjM2qPMkkJE/GwF168hDVm1JvjVr+Af/4C774aven1aM8tI3qOPrAn+8pfUXHTccXDQQXlHY2btmZNCGzd9Ohx2GGy7LQwdmnc0ZtbeOSm0YQsXQv/+aX2je+6B1VfPOyIza+887akN+9//hSefTMtib7ll3tGYWTlwTaGNeuIJuOgiOPzw9DAzaw1OCm3QzJmp2WiLLeDaa/OOxszKiZuP2phFi+CII2DWrDTqqGvXvCMys3LipNDG/O53KRlcdx1st13e0ZhZuXHzURvy97+n7TQPOigti21m1tqcFNqIWbPSMha9e8OwYZBWhTIza11uPmoDIuDoo2HGDHjmGVhrrbwjMrNy5aTQBlxzTVoSe+hQ+Na38o7GzMqZm49yNn48nHlm2hvhlFPyjsbMyp2TQo4++SRtq7nBBnDzze5HMLP8ufkoJxFphNHbb8PYsbDuunlHZGbmpJCbG29MeyNccgn07Zt3NGZmiZuPWlFVFVRUQIcOqZawzTZw9tl5R2VmtkRmSUHSTZJmSprUyHVJukrSFEkvS9oxq1jagqqqlAimTk1NRwBvvgl33plvXGZmdWVZU7gF6Lec63sDmxceA4E/ZhhL7gYPTvsi1DV3bjpvZtZWZJYUIuIpYNZyiuwH3BrJs8DakjbKKp68vfPOyp03M8tDnn0KPYB36xxPK5xbhqSBkqolVdfU1LRKcMXWs2fD53v1at04zMyWJ8+k0NCo/GioYEQMi4jKiKjs3r17xmFlo6ERRp07w5AhrR+LmVlj8kwK04C63583AabnFEumpk6F++6DPn1SzUBasvBd//55R2dmtkSe8xTGACdLugvYGfg4ImbkGE8mIuDnP0+JYPRoNxeZWduWWVKQdCewO9BN0jTgAqATQERcBzwE/AiYAswBBmQVS55Gj4b770+b5zghmFlbp4gGm/HbrMrKyqiurs47jCb59FPYaivo1g2qq2EVzx83s5xIGh8RlSsq54+pDP3qVzB9Oowc6YRgZqXBy1xkZPx4uPpqOOEE2HnnvKMxM2saJ4UMLFwIxx0H66+fFrwzMysVbtTIwLXXpprC3Xd7a00zKy2uKRTZtGlpPaN+/eDAA/OOxsxs5TgpFNkpp6Tmoz/8wTupmVnpcfNREd1/P4waBb/5DWy6ad7RmJmtPNcUiuTzz+Hkk9PGOWeckXc0ZmbN45pCkVx4YVoG+5lnoFOnvKMxM2se1xSKYOJEGDoUjj0Wdt0172jMzJrPSaGFFs9JWG89uPTSvKMxM2sZNx+10PXXw3PPwe23w7rr5h2NmVnLuKbQAjNmwKBBsNdecOiheUdjZtZyTgotcNppMH8+/PGPnpNgZu2Dk0Iz/eUvaRmLwYPha1/LOxozs+JwUmiGOXPgxBNhyy3hrLPyjsbMrHjc0dwMv/41/Pvf8OSTsOqqeUdjZlY8mdYUJPWT9E9JUySd08D1IyXVSJpQeByTZTzFMGlS2lpzwADYbbe8ozEzK64s92juCFwLfB+YBrwgaUxEvFqv6N0RcXJWcRTTokVw/PFpOezLLss7GjOz4suy+WgnYEpEvAUg6S5gP6B+UigZw4enZSxuvjntu2xm1t5k2XzUA3i3zvG0wrn6DpD0sqR7JfXMMJ4Wef/91Km8225wxBF5R2Nmlo0sk0JDI/ej3vH9QEVEbAc8Doxo8EbSQEnVkqpramqKHGbTnHFGWgn1uus8J8HM2q8sk8I0oO43/02A6XULRMSHETG/cHgD8M2GbhQRwyKiMiIqu3fvnkmwy/P441BVlWYvb7llq/96M7NWk2VSeAHYXNKmkr4CHAKMqVtA0kZ1DvcFXsswnmaZNw9OOAE23zwlBTOz9iyzjuaIWCDpZOARoCNwU0RMlnQxUB0RY4BfSNoXWADMAo7MKp7muuQSmDIFHnsMVlst72jMzLKliPrN/G1bZWVlVFdXt8rvev112G47OPhguO22VvmVZmaZkDQ+IipXVM7LXDQiIs1J6NoVLr8872jMzFqHl7loxIgRMHYs3HADrL9+3tGYmbUO1xQa8MEHcOaZ0LcvHHVU3tGYmbUeJ4UG/PKX8PHHaVe1Dv4LmVkZ8UdePU8+CbfckhLD1lvnHY2ZWetyUqhj/vzUubzppnDeeXlHY2bW+tzRXMdll8E//wkPPwydO+cdjZlZ63NNoeCNN2DIkDQnoV+/vKMxM8uHkwJpTsIJJ6Rd1IYOzTsaM7P8uPmItNjdX/8Kf/gDbLTRisubmbVXZV9TmDXvb0xJAAAHGElEQVQLTj8ddt4Zjjsu72jMzPJV9jWFc85JieGxxzwnwcysrD8Gn346LWNx2mmw/fZ5R2Nmlr+yTQpffJHmJPTqBRdemHc0ZmZtQ9k2H11+OUyeDPffD1265B2NmVnbUJY1hbfegosvhv33h332yTsaM7O2o+ySQgSceCJ06gRXXZV3NGZmbUvZNR/dcw888ghceSX06JF3NGZmbUumNQVJ/ST9U9IUSec0cH1VSXcXrj8nqSKLOKqqoKIiDTk99ND0/KSTsvhNZmalLbOkIKkjcC2wN/AN4GeSvlGv2NHARxHxNWAo8Ntix1FVBQMHwtSpqelo0SJ47z24665i/yYzs9KXZU1hJ2BKRLwVEV8AdwH71SuzHzCi8PxeYE9JKmYQgwfDnDlLn5s3L503M7OlZZkUegDv1jmeVjjXYJmIWAB8DKxX/0aSBkqqllRdU1OzUkG8887KnTczK2dZJoWGvvFHM8oQEcMiojIiKrt3775SQfTqtXLnzczKWZZJYRrQs87xJsD0xspIWgVYC5hVzCCGDFl2w5zOndN5MzNbWpZJ4QVgc0mbSvoKcAgwpl6ZMcARhec/Bf4WEcvUFFqif38YNgx69wYp/Rw2LJ03M7OlZTZPISIWSDoZeAToCNwUEZMlXQxUR8QYYDhwm6QppBrCIVnE0r+/k4CZWVNkOnktIh4CHqp37vw6z+cBB2YZg5mZNV3ZLXNhZmaNc1IwM7NaTgpmZlbLScHMzGqpyCNAMyepBpjazJd3Az4oYjhtgd9TaWhv76m9vR9o/++pd0SscPZvySWFlpBUHRGVecdRTH5PpaG9vaf29n7A72kxNx+ZmVktJwUzM6tVbklhWN4BZMDvqTS0t/fU3t4P+D0BZdanYGZmy1duNQUzM1sOJwUzM6tVNklBUj9J/5Q0RdI5ecfTUpJukjRT0qS8YykGST0lPSHpNUmTJZ2Sd0wtJWk1Sc9Lmlh4TxflHVOxSOoo6SVJD+QdSzFIelvSK5ImSKrOO56WkrS2pHslvV74N/XtJr+2HPoUJHUE/gV8n7SxzwvAzyLi1VwDawFJ3wM+A26NiG3yjqelJG0EbBQRL0paAxgP/LjE/xsJ6BIRn0nqBDwNnBIRz+YcWotJOh2oBNaMiH3yjqelJL0NVEZEu5i8JmkEMC4ibizsZ9M5ImY35bXlUlPYCZgSEW9FxBfAXcB+OcfUIhHxFEXepS5PETEjIl4sPP8UeI1l9/QuKZF8VjjsVHiU/LcwSZsA/w+4Me9YbFmS1gS+R9qvhoj4oqkJAconKfQA3q1zPI0S/8BpzyRVAH2A5/KNpOUKzSwTgJnAYxFR8u8J+D1wFrAo70CKKIBHJY2XNDDvYFpoM6AGuLnQxHejpC5NfXG5JAU1cK7kv7G1R5K6AiOBUyPik7zjaamIWBgRO5D2KN9JUkk39UnaB5gZEePzjqXI+kbEjsDewEmF5tlStQqwI/DHiOgDfA40uR+1XJLCNKBnneNNgOk5xWKNKLS7jwSqImJU3vEUU6H6/iTQL+dQWqovsG+hDf4uYA9Jt+cbUstFxPTCz5nAn0lNzqVqGjCtTq30XlKSaJJySQovAJtL2rTQ6XIIMCbnmKyOQqfscOC1iLgi73iKQVJ3SWsXnq8O7AW8nm9ULRMRgyJik4ioIP07+ltE/E/OYbWIpC6FwQ0Umll+AJTsqL6IeA94V9LXC6f2BJo8YCPTPZrbiohYIOlk4BGgI3BTREzOOawWkXQnsDvQTdI04IKIGJ5vVC3SFzgMeKXQBg9wbmGf71K1ETCiMPqtA3BPRLSLIZztzAbAn9P3ElYB7oiIv+QbUov9HKgqfAl+CxjQ1BeWxZBUMzNrmnJpPjIzsyZwUjAzs1pOCmZmVstJwczMajkpmJlZLScFsxaQtLqksYVhp019zcmSmjxE0Kw1eUiqWQtIOglYJSKuXInXdAaeKSxBYNamuKZg1gBJ35L0cmFPhC6F/RAaWreoP3Bf4TW7F2oN90j6l6RLJfUv7KnwiqSvAkTEHOBtSaW8lIK1U2Uxo9lsZUXEC5LGAP8LrA7cHhFLLX1QmC26WUS8Xef09sBWpGXN3wJujIidCpsG/Rw4tVCuGvgu8Hymb8RsJTkpmDXuYtK6WfOAXzRwvRtQf536FyJiBoCkN4FHC+dfAf6rTrmZwJZFjdasCNx8ZNa4dYGuwBrAag1cn9vA+fl1ni+qc7yIpb+ErVZ4vVmb4qRg1rhhwK+AKuC39S9GxEdAR0kNJYwV2YISXonT2i8nBbMGSDocWBARdwCXAt+StEcDRR8FvtOMX9EXeLwFIZplwkNSzVpAUh/g9Ig4LMvXmLUW1xTMWiAiXgKeWJnJa6QO6l9lFJJZi7imYGZmtVxTMDOzWk4KZmZWy0nBzMxqOSmYmVktJwUzM6v1/wFSMVPj9vjZaQAAAABJRU5ErkJggg==
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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="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
<span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span>

<span class="n">alpha</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">deg2rad</span><span class="p">(</span><span class="mi">30</span><span class="p">)</span> <span class="c1"># derece -&gt; radyan</span>
<span class="n">beta</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">deg2rad</span><span class="p">(</span><span class="mi">30</span><span class="p">)</span> <span class="c1"># derece -&gt; radyan</span>
<span class="n">V0</span> <span class="o">=</span> <span class="mi">10</span> <span class="c1"># m/s</span>
<span class="n">g</span> <span class="o">=</span> <span class="mi">10</span> <span class="c1"># m/s^2</span>

<span class="n">t0</span> <span class="o">=</span> <span class="p">(</span><span class="mi">2</span><span class="o">*</span><span class="n">V0</span><span class="o">/</span><span class="n">g</span><span class="p">)</span><span class="o">*</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">beta</span><span class="p">)</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">alpha</span><span class="p">))</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="n">t0</span><span class="p">,</span><span class="mi">10</span><span class="p">)</span>
<span class="n">xp</span> <span class="o">=</span> <span class="n">V0</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">beta</span><span class="p">)</span><span class="o">*</span><span class="n">t</span> <span class="o">-</span> <span class="mf">0.5</span><span class="o">*</span><span class="n">g</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="o">*</span><span class="n">t</span><span class="o">**</span><span class="mi">2</span>
<span class="n">yp</span> <span class="o">=</span> <span class="n">V0</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="o">*</span><span class="n">t</span> <span class="o">-</span> <span class="mf">0.5</span><span class="o">*</span><span class="n">g</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">alpha</span><span class="p">)</span><span class="o">*</span><span class="n">t</span><span class="o">**</span><span class="mi">2</span>

<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">xp</span><span class="p">,</span><span class="n">yp</span><span class="p">,</span><span class="s2">&quot;o-m&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&#39; (m)&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&#39; (m)&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;&#39;Normal&#39; Koordinatlar&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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<h3 id="&#214;dev-#1">&#214;dev #1<a class="anchor-link" href="#&#214;dev-#1">&#182;</a></h3><p>Ölçeği ayarlayıp, iki grafikteki yayı aynı uzunluğa getirin.</p>

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<h2 id="Sonu&#231;">Sonu&#231;<a class="anchor-link" href="#Sonu&#231;">&#182;</a></h2><p>Amerikalıların "ha öyle, ha böyle..." anlamına gelen bir deyimleri var (<a href="https://en.wiktionary.org/wiki/tomayto,_tomahto"><em>tom-ay-to/to-mah-to</em></a> -- Gershwin'in şarkısının Fitzgerald &amp; Armstrong tarafından yapılan müthiş yorumu içinse <a href="https://www.youtube.com/watch?v=J2oEmPP5dTM">buyrunuz</a>...). Sonuçta biz de sadece kafamızı çevirmekle, işlemlerin bazılarını kolaylaştırsak da, kafamızı döndürmek suretiyle evrensel yasalara müdahale edemediğimizden, atılan cisim, iki referans çerçevesinde de (görelilikle beraber, koordinat sistemi takımlarına "referans çerçevesi" gibi âfili isimler takmaktayız ;) aynı sürede havada kalıp, eğik düzlemin aynı yerine düştü, klasik fizikte bu zaten beklenen şeydi.</p>
<p>İki sistemdeki sonuçlarımızı özetlersek:
$$\begin{pmatrix}x\\y\\t_0\\L\end{pmatrix} = \begin{pmatrix}5.7735\\3.3333\\1.1547\\6.6667\end{pmatrix},\quad\begin{pmatrix}x'\\y'\\t_0\\L\end{pmatrix} = \begin{pmatrix}6.6667\\0\\1.1547\\6.6667\end{pmatrix}$$</p>
<p>Acaba $(x,y)$ setimize ne yaptık da $(x',y')$deki değerlere dönüştüler? Hatırladım, eksenleri döndürmüştük... O halde, dönüş matrisimizi ezberden bir tanımlayalım, bakalım ne olacak:</p>
$$R_{\alpha} = \begin{pmatrix}
\cos\alpha &amp; \sin\alpha \\ 
-\sin\alpha &amp; \cos\alpha
\end{pmatrix};\;\vec{x} = \begin{pmatrix}x_0\\y_0\end{pmatrix}$$
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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="n">alpha</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">deg2rad</span><span class="p">(</span><span class="mi">30</span><span class="p">)</span> <span class="c1"># derece -&gt; radyan</span>

<span class="n">R_alpha</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="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="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="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="n">x</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="mf">5.7735</span><span class="p">],[</span><span class="mf">3.3333</span><span class="p">]])</span>

<span class="n">xp</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">R_alpha</span><span class="p">,</span><span class="n">x</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">xp</span><span class="p">)</span>
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<pre>[[ 6.66664767e+00]
 [-2.75215653e-05]]
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<p>Yani:
$$R_{\pi/6}. \vec{x} = \vec{x}'$$
$$\Updownarrow$$
$$\begin{pmatrix}
\cos{30^o} &amp; \sin{30^o} \\ 
-\sin{30^o} &amp; \cos{30^o}
\end{pmatrix}\begin{pmatrix}5.7735\\3.3333\end{pmatrix}=\begin{pmatrix}6.6667\\0\end{pmatrix}$$</p>

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<h2 id="Son-s&#246;z">Son s&#246;z<a class="anchor-link" href="#Son-s&#246;z">&#182;</a></h2><p>Demek ki, istesek tâ en başından bu çevrimi (ya da tersini) yapabilirmişiz:</p>

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

<span class="n">alpha</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">deg2rad</span><span class="p">(</span><span class="mi">30</span><span class="p">)</span> <span class="c1"># derece -&gt; radyan</span>
<span class="n">beta</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">deg2rad</span><span class="p">(</span><span class="mi">30</span><span class="p">)</span> <span class="c1"># derece -&gt; radyan</span>
<span class="n">V0</span> <span class="o">=</span> <span class="mi">10</span> <span class="c1"># m/s</span>
<span class="n">g</span> <span class="o">=</span> <span class="mi">10</span> <span class="c1"># m/s^2</span>

<span class="n">t0</span> <span class="o">=</span> <span class="p">(</span><span class="mi">2</span><span class="o">*</span><span class="n">V0</span><span class="o">/</span><span class="n">g</span><span class="p">)</span><span class="o">*</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">beta</span><span class="p">)</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">alpha</span><span class="p">))</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="n">t0</span><span class="p">,</span><span class="mi">10</span><span class="p">)</span>

<span class="c1"># Rutin Koordinatlar</span>
<span class="n">x</span> <span class="o">=</span> <span class="n">V0</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">alpha</span><span class="o">+</span><span class="n">beta</span><span class="p">)</span><span class="o">*</span><span class="n">t</span>
<span class="n">y</span> <span class="o">=</span> <span class="n">V0</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="o">+</span><span class="n">beta</span><span class="p">)</span><span class="o">*</span><span class="n">t</span> <span class="o">-</span> <span class="mf">0.5</span><span class="o">*</span><span class="n">g</span><span class="o">*</span><span class="n">t</span><span class="o">**</span><span class="mi">2</span>
<span class="n">xy</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">x</span><span class="p">,</span><span class="n">y</span><span class="p">])</span>

<span class="c1"># Dönüş matrisimiz</span>
<span class="n">R_alpha</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="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="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="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="c1"># Rutin Koordinatlar -&gt; &#39;Normal&#39; Koordinatlar</span>
<span class="n">xpyp</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">R_alpha</span><span class="p">,</span><span class="n">xy</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">xpyp</span><span class="p">[</span><span class="mi">0</span><span class="p">,:],</span><span class="n">xpyp</span><span class="p">[</span><span class="mi">1</span><span class="p">,:],</span><span class="s2">&quot;o-b&quot;</span><span class="p">)</span>
<span class="c1">#plt.xlabel(&quot;x&#39;=R.xy0,: (m)&quot;)</span>
<span class="c1">#plt.ylabel(&quot;y&#39;=R.xy1,: (m)&quot;)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;Rutin-&gt;&#39;Normal&#39; Koordinatlar&quot;</span><span class="p">)</span>
<span class="c1">#plt.xlim(0,8)</span>
<span class="c1">#plt.ylim(0,4)</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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<h3 id="&#214;dev-#2">&#214;dev #2<a class="anchor-link" href="#&#214;dev-#2">&#182;</a></h3><p>Bizim bildiğimiz -saatin tersi yönünde döndüren- dönüş matrisi:
$$R_{\alpha} = \begin{pmatrix}
\cos\alpha &amp; -\sin\alpha \\ 
\sin\alpha &amp; \cos\alpha
\end{pmatrix}$$</p>
<p>şeklinde değil miydi (yani "$-\sin\alpha$" sağ üstte; "$\sin\alpha$" sol altta olacak şekilde)?</p>
<p>Ama sistemimizi saatin tersi yönünde döndürmemize rağmen, neden yukarıda işlemi yaparken "$-\sin\alpha$"yı sol altta, "$\sin\alpha$"yı sağ üstte aldık?... (Açıklayın)</p>

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<h1 id="2.-S&#252;rt&#252;nmeli-E&#287;ik-D&#252;zlemde-Kayan-K&#252;tle">2. S&#252;rt&#252;nmeli E&#287;ik D&#252;zlemde Kayan K&#252;tle<a class="anchor-link" href="#2.-S&#252;rt&#252;nmeli-E&#287;ik-D&#252;zlemde-Kayan-K&#252;tle">&#182;</a></h1><p><strong>(Nasıl?)</strong>
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" alt="lineer_inclined_plane1.svg"></p>

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<p>İkinci örneğimizden herkese merhabalar! Soru (<em>normal kuvveti ve cismin eğik düzlem üzerindeki L mesafeyi ne kadar sürede kat edeceğini hesaplayın: $\theta=30^o;\,\mu=0.2;\,m=1.2\,kg;\,L=100\,m;\,g=9.81\,m/s^2$</em>) çok klasik, o kadar klasik ki, bilinçaltınızda çözmeye başladınız bile -- hatta durun an itibarı ile aklınızdan ne yaptığınızı da söyleyeyim: $mg$ ağırlığını $F_N$ normal kuvvet ve $f_\mu$ sürtünme kuvveti yönlerinde bileşenlerine ayırıyorsunuz!..</p>
<p><u>**Rutin Koordinatlar:**</u><br>
Ama ayırmayalım hemen; öyle, körlemesine dalalım probleme, "vardır bir hikmeti" deyip, alışılageldik, yere paralel x-ekseni ve ona $90^o$ yukarı uzanan y-ekseninden oluşan klasik koordinat takımımızı kullanıp, $F_N$ ile $f_\mu$'yü bu eksenlerdeki bileşenlerine ayırıp, Newton'ın 2. yasasını tatbik edelim:</p>
<p><u>x-ekseni boyunca kuvvetler:</u><br>
$f_\mu\cos\theta -F_N\sin\theta = m\ddot{x}\quad(1)$</p>
<p><u>y-ekseni boyunca kuvvetler:</u><br>
$f_\mu\sin\theta + F_N\cos\theta - mg = m\ddot{y}\quad(2)$</p>
<p><u>Seçtiğimiz koordinat sistemine dair bağıntı:</u><br>
$\tan\theta = \frac{y}{x} \rightarrow y = x\tan\theta \Rightarrow \ddot{y} = \ddot{x}\tan\theta\quad(3)$</p>
<p><u>Genel olarak bildiğimiz:</u><br>
$f_\mu = \mu F_N\quad(4)$</p>
<p>$(4)$'ü $(1)$ ve $(2)$'de yerine yazalım:
\begin{align*}(1):\;\mu F_N \cos\theta - F_N\sin\theta &amp;= m\ddot{x}\\
\rightarrow m\ddot{x} + \left(\sin\theta - \mu\cos\theta\right)F_N &amp;= 0\quad(1')\end{align*}</p>
\begin{align*}(2):\;\mu F_N \sin\theta + F_N\cos\theta- mg &amp;= m\ddot{y}\\
\rightarrow -m\ddot{y} + \left(\cos\theta+\mu\sin\theta\right)F_N&amp;=mg\quad(2')\end{align*}\begin{align*}(3):\;\ddot{y} &amp;= \ddot{x}\tan\theta\\
\rightarrow\tan\theta\,\ddot{x}-\ddot{y}&amp;=0\quad(3')\end{align*}<p>Bu üç bilinmeyenli $(\ddot{x},\ddot{y},F_N)$ üç denklemimizi $(1'),(2'),(3')$, matris - vektör çarpımı olarak yazabiliriz:</p>
$$\begin{pmatrix}m&amp;0&amp;\sin\theta - \mu\cos\theta\\
0&amp;-m &amp;\cos\theta+\mu\sin\theta\\
\tan\theta &amp; -1 &amp; 0
\end{pmatrix}\begin{pmatrix}\ddot{x}\\\ddot{y}\\F_N\end{pmatrix}=\begin{pmatrix}0\\mg\\0\end{pmatrix}$$<p>Bu lineer sistemi nasıl çözebileceğimizi biliyoruz (değil mi? ;)</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="c1"># Soruda verilenler:</span>
<span class="n">theta</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">deg2rad</span><span class="p">(</span><span class="mi">30</span><span class="p">)</span> <span class="c1"># derece -&gt; radyan</span>
<span class="n">mu</span> <span class="o">=</span> <span class="mf">0.41</span>
<span class="n">m</span> <span class="o">=</span> <span class="mf">1.2</span> <span class="c1"># kg</span>
<span class="n">L</span> <span class="o">=</span> <span class="mi">100</span> <span class="c1"># m</span>
<span class="n">g</span> <span class="o">=</span> <span class="mf">9.81</span> <span class="c1"># m/s^2</span>

<span class="n">A</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">m</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">theta</span><span class="p">)</span><span class="o">-</span><span class="n">mu</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">theta</span><span class="p">)],</span>
              <span class="p">[</span><span class="mi">0</span><span class="p">,</span><span class="o">-</span><span class="n">m</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">theta</span><span class="p">)</span><span class="o">+</span><span class="n">mu</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">theta</span><span class="p">)],</span>
              <span class="p">[</span><span class="n">np</span><span class="o">.</span><span class="n">tan</span><span class="p">(</span><span class="n">theta</span><span class="p">),</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span><span class="mi">0</span><span class="p">]])</span>
<span class="n">b</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">0</span><span class="p">,</span><span class="n">m</span><span class="o">*</span><span class="n">g</span><span class="p">,</span><span class="mi">0</span><span class="p">])</span>

<span class="n">s</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">solve</span><span class="p">(</span><span class="n">A</span><span class="p">,</span><span class="n">b</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">s</span><span class="p">)</span>
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<pre>[-1.23127961 -0.71087961 10.19485105]
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<p>Yani:
$$\begin{pmatrix}\ddot{x}\\\ddot{y}\\F_N\end{pmatrix}=\begin{pmatrix}-1.231\,m/s^2\\-0.711\,m/s^2\\10.195\,N\end{pmatrix}$$</p>
<p>(ivmelerin negatif olması, sola ve aşağı doğru ivmelendiğini, yani yönünü gösteriyor).</p>
<p>Eğik düzlemdeki $L$ mesafesini ne kadar zamanda kat edeceğine gelince:
$$x_0 = L \cos\theta = \frac{1}{2}\ddot{x}t_0^2\rightarrow t_0 = \sqrt{\frac{2L\cos\theta}{\ddot{x}}}$$</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">t0</span> <span class="o">=</span> <span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="mi">2</span><span class="o">*</span><span class="n">L</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">theta</span><span class="p">)</span><span class="o">/</span><span class="n">np</span><span class="o">.</span><span class="n">abs</span><span class="p">(</span><span class="n">s</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="s2">&quot;t0: &quot;</span><span class="p">,</span><span class="n">t0</span><span class="p">,</span><span class="s2">&quot;s&quot;</span><span class="p">)</span>
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<pre>t0:  11.86047194749622 s
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<p><u>**'Normal' Koordinatlar**</u><br>
Bir de, bize mantıklı gelen koordinat sistemi olan $(x',y')$ üzerinden gidelim: Ne de olsa bir öncekinde hem normal kuvveti, hem de sürtünme kuvvetini bileşenlerine ayırmak zorunda kalmıştık, burada sadece ağırlığı bileşenlere ayıracağız; $y$ ekseni yönünde herhangi bir yerdeğiştirme olmaması da cabası! $(\ddot{y}' = 0)$</p>
<p><u>x'-ekseni boyunca kuvvetler:</u><br>
$f_\mu - mg\sin\theta = m\ddot{x}'\quad(1)$</p>
<p><u>y'-ekseni boyunca kuvvetler:</u><br>
$F_N - mg\cos\theta =m\ddot{y}'\quad(2)$</p>
<p><u>Seçtiğimiz koordinat sistemine dair bağıntı:</u><br>
$\ddot{y}'=0\quad(3)$</p>
<p><u>Genel olarak bildiğimiz:</u><br>
$f_\mu = \mu F_N\quad(4)$</p>
<p>Bu denklemleri kullanıp, bu koordinat sisteminde hareket denklemlerimizi lineer denklem seti olarak temsil edersek:</p>
$$\begin{pmatrix}m&amp;0&amp;-\mu\\
0&amp;m &amp;-1\\
0 &amp; 220 &amp; 0
\end{pmatrix}\begin{pmatrix}\ddot{x}'\\\ddot{y}'\\F_N\end{pmatrix}=\begin{pmatrix}-mg\sin\theta\\-mg\cos\theta\\0\end{pmatrix}$$
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<h3 id="&#214;dev-#3">&#214;dev #3<a class="anchor-link" href="#&#214;dev-#3">&#182;</a></h3><p>En alt satırın orta sütunundaki "220" değeri nereden geldi? Dersimizin koduyla aynı oluşu tesadüf mü?</p>

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<p>Çözüme geçersek:</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="c1"># Soruda verilenler:</span>
<span class="n">theta</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">deg2rad</span><span class="p">(</span><span class="mi">30</span><span class="p">)</span> <span class="c1"># derece -&gt; radyan</span>
<span class="n">mu</span> <span class="o">=</span> <span class="mf">0.41</span>
<span class="n">m</span> <span class="o">=</span> <span class="mf">1.2</span> <span class="c1"># kg</span>
<span class="n">L</span> <span class="o">=</span> <span class="mi">100</span> <span class="c1"># m</span>
<span class="n">g</span> <span class="o">=</span> <span class="mf">9.81</span> <span class="c1"># m/s^2</span>

<span class="n">A</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">m</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="o">-</span><span class="n">mu</span><span class="p">],[</span><span class="mi">0</span><span class="p">,</span><span class="n">m</span><span class="p">,</span><span class="o">-</span><span class="mi">1</span><span class="p">],[</span><span class="mi">0</span><span class="p">,</span><span class="mi">220</span><span class="p">,</span><span class="mi">0</span><span class="p">]])</span>
<span class="n">b</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="o">-</span><span class="n">m</span><span class="o">*</span><span class="n">g</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">theta</span><span class="p">),</span><span class="o">-</span><span class="n">m</span><span class="o">*</span><span class="n">g</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">theta</span><span class="p">),</span><span class="mi">0</span><span class="p">])</span>

<span class="n">su</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">solve</span><span class="p">(</span><span class="n">A</span><span class="p">,</span><span class="n">b</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">su</span><span class="p">)</span>
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<pre>[-1.42175922  0.         10.19485105]
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<p>Yani:
$$\begin{pmatrix}\ddot{x}'\\\ddot{y}'\\F_N\end{pmatrix}=\begin{pmatrix}-1.422\,m/s^2\\0\,m/s^2\\10.195\,N\end{pmatrix}$$</p>
<p>Eğik düzlemdeki $L$ mesafesini ne kadar zamanda kat edeceğine gelince:
$$x_0' = L = \frac{1}{2}\ddot{x}'t_0^2\rightarrow t_0 = \sqrt{\frac{2L}{\ddot{x}'}}$$</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">t0</span> <span class="o">=</span> <span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="mi">2</span><span class="o">*</span><span class="n">L</span><span class="o">/</span><span class="n">np</span><span class="o">.</span><span class="n">abs</span><span class="p">(</span><span class="n">su</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="s2">&quot;t0: &quot;</span><span class="p">,</span><span class="n">t0</span><span class="p">,</span><span class="s2">&quot;s&quot;</span><span class="p">)</span>
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<pre>t0:  11.86047194749622 s
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<h2 id="Sonu&#231;">Sonu&#231;<a class="anchor-link" href="#Sonu&#231;">&#182;</a></h2><p>Yine şaşırtıcı olmayan bir biçimde, bizim seçtiğimiz koordinatlardan bağımsız olarak cismin üzerine binen normal kuvvet de, verilen mesafeyi kat ettiği zaman da iki referans çerçevesinde aynı çıktı.</p>
<p>İlk sorudan sonra, birinden diğerine $(\ddot{x},\ddot{y})\leftrightarrow(\ddot{x}',\ddot{y}')$ nasıl geçebileceğimizi artık tahmin edebilirsiniz:</p>
$$\begin{pmatrix}\cos\theta&amp;\sin\theta\\-\sin\theta&amp;\cos\theta\end{pmatrix}\begin{pmatrix}\ddot{x}\\\ddot{y}\end{pmatrix}=\begin{pmatrix}\ddot{x}'\\\ddot{y}'\end{pmatrix}$$<p>Hemen bir teyit alalım:</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="n">theta</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">deg2rad</span><span class="p">(</span><span class="mi">30</span><span class="p">)</span>

<span class="n">xydd</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="o">-</span><span class="mf">1.23127961</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.71087961</span><span class="p">])</span>

<span class="n">R_theta</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">theta</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">theta</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">theta</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">theta</span><span class="p">)]])</span>

<span class="n">xyddpp</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">R_theta</span><span class="p">,</span><span class="n">xydd</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">xyddpp</span><span class="p">)</span>
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<pre>[-1.42175923e+00  3.70762565e-09]
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<h2 id="Welcome-to-Sadet...-(pop&#252;lasyon-2i+3-$\in-\mathbb{C}$)">Welcome to Sadet... (pop&#252;lasyon 2i+3 $\in \mathbb{C}$)<a class="anchor-link" href="#Welcome-to-Sadet...-(pop&#252;lasyon-2i+3-$\in-\mathbb{C}$)">&#182;</a></h2><p>Sadede gelirsek, görünürde bu ikinci örnekte ilk örneği biraz(!) daha geliştirdik, bilgimizi pekiştirdik ama aslında iki örnek birbirinden çok farklı (en büyük farkları da 1. örneği matris-vektör çarpımı şeklinde yazamamızda çünkü orada aktif olarak rol oynayan zaman ve/veya onu aradan çıkarıp x ile y değişkenlerinin aralarındaki bağıntı doğrusal değil, 2. dereceden (<em>quadratic</em>): hal böyle olunca pirincin taşını ayıklayamıyoruz maalesef (yine aynı nedenden ötürü oturup soruyu ellerimizle çözdük (başka (bir dolu) sayısal yaklaşımla tabii ki çözebiliriz ama lineer cebrin dışına çıkmış olurduk o zaman)). Bu soruda ise her şey gayet net:</p>
$$\begin{pmatrix}m&amp;0&amp;\sin\theta - \mu\cos\theta\\
0&amp;-m &amp;\cos\theta+\mu\sin\theta\\
\tan\theta &amp; -1 &amp; 0
\end{pmatrix}\begin{pmatrix}\ddot{x}\\\ddot{y}\\F_N\end{pmatrix}=\begin{pmatrix}0\\mg\\0\end{pmatrix}\quad(^{*})$$<p>Biz dan-dan-dan çözerken, arka planda, belki de farkına bile varmadan neler yaptığımıza gelirsek: koordinat dönüşümünü $(\ddot{x},\ddot{y})$'ye nasıl etki ettirip, $(\ddot{x}',\ddot{y}')$ gidebileceğimizi gördük:</p>
$$\begin{pmatrix}\cos\theta&amp;\sin\theta\\-\sin\theta&amp;\cos\theta\end{pmatrix}\begin{pmatrix}\ddot{x}\\\ddot{y}\end{pmatrix}=\begin{pmatrix}\ddot{x}'\\\ddot{y}'\end{pmatrix}\quad(^{*})$$<p>Boyut uyumu açısından $F_N$'i de değişmeyecek şekilde ekleyelim:</p>
$$\begin{pmatrix}\cos\theta&amp;\sin\theta&amp;0\\-\sin\theta&amp;\cos\theta&amp;0\\0&amp; 0&amp; 1\end{pmatrix}\begin{pmatrix}\ddot{x}\\\ddot{y}\\F_N\end{pmatrix}=\begin{pmatrix}\ddot{x}'\\\ddot{y}'\\F_N\end{pmatrix}\quad(^{**})$$<p>Bu yukarıdaki işlem aslında gayet ciddi bir matris eşitliği, sembolik olarak şöyle bir şey:
$$A\cdot\vec{x} = \vec{x}'$$
İki tarafı da soldan, matrisimizin tersi $A^{-1}$ ile çarparsak:
\begin{align*}
\underbrace{A^{-1}\cdot A}_{\mathbb{1}}\cdot\vec{x} &amp;= A^{-1}\vec{x}'\\
\rightarrow\vec{x} &amp;= A^{-1}\vec{x}'\end{align*}</p>
<p>$(\ddot{x},\ddot{y})$'den $(\ddot{x}',\ddot{y}')$'ye gidebiliyorduk, artık $(\ddot{x}',\ddot{y}')$'den $(\ddot{x},\ddot{y})$'ye de gidebiliyoruz bu sayede! Bu iş için dönüş matrisimizin tersini bilmek gerekiyor. Dilerseniz bilgisayara hesaplatabilirsiniz (<code>R_inv = np.linalg.inv(R)</code>) ama kafamızı kullanmak daha iyi: eğer eksenlerimi saatin tersi yönünde $\theta$ açısı kadar döndürmek için:
$$\begin{pmatrix}\cos\theta&amp;\sin\theta\\-\sin\theta&amp;\cos\theta\end{pmatrix}$$</p>
<p>matrisini kullanıyorsam, geri gelmek için (yani işlemi "tersine" almak için), bu sefer saat yönünde $\theta$ kadar gitmeliyim: bir başka deyişle, $-\theta$ kadar dönüş yapmalıyım. Kosinüs çift fonksiyon olduğu için, $\theta$ yerine $-\theta$ yazdığımda bir şey değişmeyecek $(\cos(-\theta) = \cos(\theta))$  ama sinüs tek fonksiyon olduğundan, işaretler değişecek $(\sin(-\theta) = -\sin(\theta))$. Demek ki:</p>
$$\begin{pmatrix}\cos\theta&amp;\sin\theta\\-\sin\theta&amp;\cos\theta\end{pmatrix}^{-1} = \begin{pmatrix}\cos\theta&amp;-\sin\theta\\\sin\theta&amp;\cos\theta\end{pmatrix}$$<p>Bunu da (**) eşitliğinin iki yanına soldan etki ettirdiğimizde:</p>
$$\begin{pmatrix}\ddot{x}\\\ddot{y}\end{pmatrix}=\begin{pmatrix}\cos\theta&amp;-\sin\theta\\\sin\theta&amp;\cos\theta\end{pmatrix}\begin{pmatrix}\ddot{x}'\\\ddot{y}'\end{pmatrix}$$<p>(*) eşitliğinde $\begin{pmatrix}\ddot{x}\\\ddot{y}\end{pmatrix}$ gördüğümüz yere bunu yazalım:
$$\begin{pmatrix}m&amp;0&amp;\sin\theta - \mu\cos\theta\\
0&amp;-m &amp;\cos\theta+\mu\sin\theta\\
\tan\theta &amp; -1 &amp; 0
\end{pmatrix}\begin{pmatrix}\cos\theta&amp;-\sin\theta&amp;0\\\sin\theta&amp;\cos\theta&amp;0\\0&amp;0&amp;1\end{pmatrix}\begin{pmatrix}\ddot{x}'\\\ddot{y}'\\F_N\end{pmatrix}=\begin{pmatrix}0\\mg\\0\end{pmatrix}$$</p>

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<p><strong>Kısa bir ara</strong></p>
<p>İşimiz neredeyse bitiyor, çok az kaldı. Özdeğer ve özvektörlerde hatırlıyorsanız, köşegenleştirme yapıyorduk, yani <code>[ozdegerler,ozvektorler] = np.linalg.eig(A)</code> dediğimizde, örneğin:</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">A</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="mf">2.</span><span class="p">,</span><span class="mf">3.</span><span class="p">],[</span><span class="mf">4.</span><span class="p">,</span><span class="mf">5.</span><span class="p">]])</span>
<span class="nb">print</span><span class="p">(</span><span class="n">A</span><span class="p">)</span>
<span class="nb">print</span><span class="p">()</span>
<span class="p">[</span><span class="n">ozdegerler</span><span class="p">,</span><span class="n">ozvektorler</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">eig</span><span class="p">(</span><span class="n">A</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;Özdeğerler: &quot;</span><span class="p">,</span><span class="n">ozdegerler</span><span class="p">,</span><span class="s2">&quot;</span><span class="se">\n</span><span class="s2">-----</span><span class="se">\n</span><span class="s2">Özvektörler:</span><span class="se">\n</span><span class="s2">&quot;</span><span class="p">,</span><span class="n">ozvektorler</span><span class="p">)</span>
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<pre>[[2. 3.]
 [4. 5.]]

Özdeğerler:  [-0.27491722  7.27491722] 
-----
Özvektörler:
 [[-0.79681209 -0.49436913]
 [ 0.60422718 -0.86925207]]
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<p>Özdeğerler köşegenleştirilmiş matris $(D)$, özvektör matrisi de ($u$) olarak alındığında, $u\cdot D \cdot u^{-1} = A$ eşitliği gerçeklenir. Devam edersek:</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">D</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">diag</span><span class="p">(</span><span class="n">ozdegerler</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;D:&quot;</span><span class="p">,</span><span class="n">D</span><span class="p">)</span>

<span class="n">u</span> <span class="o">=</span> <span class="n">ozvektorler</span><span class="o">.</span><span class="n">copy</span><span class="p">()</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;u:&quot;</span><span class="p">,</span><span class="n">u</span><span class="p">)</span>

<span class="n">u_inv</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">inv</span><span class="p">(</span><span class="n">u</span><span class="p">)</span>

<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;u.D.u^{-1} = &quot;</span><span class="p">,</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">u</span><span class="p">,</span><span class="n">D</span><span class="p">,</span><span class="n">u_inv</span><span class="p">)))</span>
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<pre>D: [[-0.27491722  0.        ]
 [ 0.          7.27491722]]
u: [[-0.79681209 -0.49436913]
 [ 0.60422718 -0.86925207]]
u.D.u^{-1} =  [[2. 3.]
 [4. 5.]]
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<p>Şimdi tekrar örneğimize geri dönelim, nerede kalmıştık?</p>
$$\begin{pmatrix}m&amp;0&amp;\sin\theta - \mu\cos\theta\\
0&amp;-m &amp;\cos\theta+\mu\sin\theta\\
\tan\theta &amp; -1 &amp; 0
\end{pmatrix}\begin{pmatrix}\cos\theta&amp;-\sin\theta&amp;0\\\sin\theta&amp;\cos\theta&amp;0\\0&amp;0&amp;1\end{pmatrix}\begin{pmatrix}\ddot{x}'\\\ddot{y}'\\F_N\end{pmatrix}=\begin{pmatrix}0\\mg\\0\end{pmatrix}$$<p>Bu, kesinlikle bir özdeğer denklemi değil -- soldaki vektör ile sağdaki vektör bambaşka. Ama yine de hazır iki matris, bir de vektör çarpımı bulmuşken, $$\begin{pmatrix}\cos\theta&amp;-\sin\theta&amp;0\\\sin\theta&amp;\cos\theta&amp;0\\0&amp;0&amp;1\end{pmatrix}$$ matrisine $u^{-1}$ muamelesi çekelim, eşitliğin iki yanını da soldan bunun tersi ile çarpalım:</p>
$$\begin{pmatrix}\cos\theta&amp;\sin\theta&amp;0\\-\sin\theta&amp;\cos\theta&amp;0\\0&amp;0&amp;1\end{pmatrix}
\begin{pmatrix}m&amp;0&amp;\sin\theta - \mu\cos\theta\\
0&amp;-m &amp;\cos\theta+\mu\sin\theta\\
\tan\theta &amp; -1 &amp; 0
\end{pmatrix}
\begin{pmatrix}\cos\theta&amp;-\sin\theta&amp;0\\\sin\theta&amp;\cos\theta&amp;0\\0&amp;0&amp;1\end{pmatrix}
\begin{pmatrix}\ddot{x}'\\\ddot{y}'\\F_N\end{pmatrix}
=
\begin{pmatrix}\cos\theta&amp;\sin\theta&amp;0\\-\sin\theta&amp;\cos\theta&amp;0\\0&amp;0&amp;1\end{pmatrix}
\begin{pmatrix}0\\mg\\0\end{pmatrix}
$$<p>Sağ taraftaki çarpımı kafadan yapabilirim ama sol taraftaki çarpımı kaldırmaya kalbim yetmez. Neyse, hele bir sağ tarafı halledelim, sola da döneriz elbet:
$$\begin{pmatrix}&amp; &amp;\\ &amp;\ddots&amp;\\&amp; &amp;\end{pmatrix}
\cdot
\begin{pmatrix}\ddot{x}'\\\ddot{y}'\\F_N\end{pmatrix}
=\begin{pmatrix}mg\sin\theta\\mg\cos\theta\\0\end{pmatrix}$$</p>
<p>Sayısal olarak da olsa, elimizdeki değerlerle sol tarafı yapalım:</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="nb">print</span><span class="p">(</span><span class="s2">&quot;m:&quot;</span><span class="p">,</span><span class="n">m</span><span class="p">,</span><span class="s2">&quot;</span><span class="se">\t</span><span class="s2">mu:&quot;</span><span class="p">,</span><span class="n">mu</span><span class="p">,</span><span class="s2">&quot;</span><span class="se">\t</span><span class="s2">theta:&quot;</span><span class="p">,</span><span class="n">np</span><span class="o">.</span><span class="n">rad2deg</span><span class="p">(</span><span class="n">theta</span><span class="p">))</span>

<span class="n">u</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">theta</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">theta</span><span class="p">),</span><span class="mi">0</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">theta</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">theta</span><span class="p">),</span><span class="mi">0</span><span class="p">],[</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">1</span><span class="p">]])</span>
<span class="n">u_inv</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">inv</span><span class="p">(</span><span class="n">u</span><span class="p">)</span>
<span class="n">A</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">m</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">theta</span><span class="p">)</span><span class="o">-</span><span class="n">mu</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">theta</span><span class="p">)],[</span><span class="mi">0</span><span class="p">,</span><span class="o">-</span><span class="n">m</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">theta</span><span class="p">)</span><span class="o">+</span><span class="n">mu</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">theta</span><span class="p">)],[</span><span class="n">np</span><span class="o">.</span><span class="n">tan</span><span class="p">(</span><span class="n">theta</span><span class="p">),</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span><span class="mi">0</span><span class="p">]])</span>
<span class="n">Q</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">u</span><span class="p">,</span><span class="n">A</span><span class="p">,</span><span class="n">u_inv</span><span class="p">))</span>
<span class="nb">print</span><span class="p">()</span>
<span class="nb">print</span><span class="p">(</span><span class="n">Q</span><span class="p">)</span>
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<pre>m: 1.2 	mu: 0.41 	theta: 29.999999999999996

[[ 6.00000000e-01 -1.03923048e+00  6.61025404e-01]
 [-1.03923048e+00 -6.00000000e-01  8.55070416e-01]
 [ 1.11022302e-16 -1.15470054e+00  0.00000000e+00]]
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<p>$(\ddot{x}',\ddot{y}',F_N)$ değerlerini yukarıda hesaplamıştık (<code>su</code>) olarak. Q matrisimizle $(\ddot{x}',\ddot{y}',F_N)$ vektörünü çarpıp, sonucu kontrol edelim:</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="nb">print</span><span class="p">(</span><span class="s2">&quot;  su:&quot;</span><span class="p">,</span><span class="n">su</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;Q.su:&quot;</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">Q</span><span class="p">,</span><span class="n">su</span><span class="p">))</span>
<span class="nb">print</span><span class="p">(</span><span class="n">m</span><span class="o">*</span><span class="n">g</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">theta</span><span class="p">),</span><span class="n">m</span><span class="o">*</span><span class="n">g</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">theta</span><span class="p">),</span><span class="mi">0</span><span class="p">)</span>
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<pre>  su: [-1.42175922  0.         10.19485105]
Q.su: [ 5.88600000e+00  1.01948511e+01 -1.57846983e-16]
5.885999999999999 10.194851053350412 0
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<p>Bir de bizim o zaman bulmuş olduğumuz değerlerle kıyaslayalım:
$$\begin{pmatrix}m&amp;0&amp;-\mu\\
0&amp;m &amp;-1\\
0 &amp; 220 &amp; 0
\end{pmatrix}\begin{pmatrix}\ddot{x}'\\\ddot{y}'\\F_N\end{pmatrix}=\begin{pmatrix}-mg\sin\theta\\-mg\cos\theta\\0\end{pmatrix}$$</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">K</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">m</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="o">-</span><span class="n">mu</span><span class="p">],[</span><span class="mi">0</span><span class="p">,</span><span class="n">m</span><span class="p">,</span><span class="o">-</span><span class="mi">1</span><span class="p">],[</span><span class="mi">0</span><span class="p">,</span> <span class="mi">220</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">K</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">K</span><span class="p">,</span><span class="n">su</span><span class="p">))</span>
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<pre>[-1.42175922  0.         10.19485105]
[ 5.88600000e+00  1.01948511e+01 -1.57846983e-16]
5.885999999999999 10.194851053350412
[[  1.2    0.    -0.41]
 [  0.     1.2   -1.  ]
 [  0.   220.     0.  ]]
[ -5.886      -10.19485105   0.        ]
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<h2 id="Son-s&#246;z">Son s&#246;z<a class="anchor-link" href="#Son-s&#246;z">&#182;</a></h2><p><strong>İşin özü, koordinat dönüşümüyle sadece "koordinatları" değil, bütün denklemleri dönüştürüyor olmamız.</strong></p>

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