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<title>04_Stats_and_Montecarlo</title>
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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;
}
/*# sourceMappingURL=style.min.css.map */
</style>
<style type="text/css">
.highlight .hll { background-color: #ffffcc }
.highlight { background: #f8f8f8; }
.highlight .c { color: #408080; font-style: italic } /* Comment */
.highlight .err { border: 1px solid #FF0000 } /* Error */
.highlight .k { color: #008000; font-weight: bold } /* Keyword */
.highlight .o { color: #666666 } /* Operator */
.highlight .ch { color: #408080; font-style: italic } /* Comment.Hashbang */
.highlight .cm { color: #408080; font-style: italic } /* Comment.Multiline */
.highlight .cp { color: #BC7A00 } /* Comment.Preproc */
.highlight .cpf { color: #408080; font-style: italic } /* Comment.PreprocFile */
.highlight .c1 { color: #408080; font-style: italic } /* Comment.Single */
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<h6 id="Content-created-under-Creative-Commons-Attribution-license-CC-BY-4.0,-code-under-BSD-3-Clause-License-&#169;-2020-R.C.-Cooper">Content created under Creative Commons Attribution license CC-BY 4.0, code under BSD 3-Clause License &#169; 2020 R.C. Cooper<a class="anchor-link" href="#Content-created-under-Creative-Commons-Attribution-license-CC-BY-4.0,-code-under-BSD-3-Clause-License-&#169;-2020-R.C.-Cooper">&#182;</a></h6>
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<h1 id="Statistics-and-Monte-Carlo-Models">Statistics and Monte-Carlo Models<a class="anchor-link" href="#Statistics-and-Monte-Carlo-Models">&#182;</a></h1><p>Monte Carlo models use random numbers to either understand statistics or generate a solution [1].
The main element in a Monte Carlo model is the use of random numbers. Monte Carlo methods are very useful if you can easily execute a function lots of time or even in parallel.</p>
<p>We can generate random numbers in many ways, but most programming languages have 'pseudo'-random number generators.</p>
<p>In Python, we use the numpy library as such</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">x</span><span class="o">=</span><span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">rand</span><span class="p">(</span><span class="mi">10</span><span class="p">)</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span>
<span class="c1">#Import rcParams to set font styles</span>
<span class="kn">from</span> <span class="nn">matplotlib</span> <span class="kn">import</span> <span class="n">rcParams</span>
<span class="c1">#Set font style and size </span>
<span class="n">rcParams</span><span class="p">[</span><span class="s1">&#39;font.family&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="s1">&#39;sans&#39;</span>
<span class="n">rcParams</span><span class="p">[</span><span class="s1">&#39;font.size&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="mi">16</span>
<span class="n">rcParams</span><span class="p">[</span><span class="s1">&#39;lines.linewidth&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="mi">3</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plt</span><span class="o">.</span><span class="n">hist</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="n">bins</span><span class="o">=</span><span class="mi">10</span><span class="p">,</span> <span class="n">color</span><span class="o">=</span><span class="s1">&#39;b&#39;</span><span class="p">,</span> <span class="n">histtype</span><span class="o">=</span><span class="s1">&#39;bar&#39;</span><span class="p">,</span> <span class="n">edgecolor</span><span class="o">=</span><span class="s1">&#39;w&#39;</span><span class="p">)</span>
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<pre>(array([ 974., 1012., 1040., 997., 1028., 1025., 1021., 1001., 943.,
959.]),
array([1.33899648e-05, 1.00007220e-01, 2.00001050e-01, 2.99994879e-01,
3.99988709e-01, 4.99982539e-01, 5.99976369e-01, 6.99970198e-01,
7.99964028e-01, 8.99957858e-01, 9.99951688e-01]),
&lt;a list of 10 Patch objects&gt;)</pre>
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<p>The <code>numpy.random.rand(10)</code> function generates 10 random numbers between 0 and 1. The pyplot function <code>hist</code> then displays a histogram of these randomly generated numbers.</p>
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<h2 id="Exercise-and-Discussion">Exercise and Discussion<a class="anchor-link" href="#Exercise-and-Discussion">&#182;</a></h2><p>Try generating more random numbers and plotting histograms of the results i.e. increase <code>10</code> to larger values.</p>
<p>What should the histogram of <code>x</code> look like if Python is generating truly random numbers?</p>
<p><em>If <code>x</code> is truly random, the histogram should be a uniform value between 0-1.</em></p>
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<div class="prompt input_prompt">In&nbsp;[27]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">x</span><span class="o">=</span><span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">rand</span><span class="p">(</span><span class="mi">10000</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">hist</span><span class="p">(</span><span class="n">x</span><span class="p">);</span>
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<h2 id="Examples-of-Monte-Carlo-models:">Examples of Monte Carlo models:<a class="anchor-link" href="#Examples-of-Monte-Carlo-models:">&#182;</a></h2><p>Monte Carlo models have a wide array of applications. We are going to use Monte Carlo models in later modules to explore how uncertainty in measurements can be incorporated into computational models. The three main applications for Monte Carlo models are used in three main classes: optimization, numerical integration, and generating population distributions [1].</p>
<p>Here is a brief list of Monte Carlo model use cases in real-world applications:</p>
<ul>
<li><a href="https://link.springer.com/chapter/10.1007%2FBFb0049064">Eigenvlaues in supercritical systems</a></li>
<li><a href="http://www.egr.msu.edu/~mitraj/research/pubs/proc/singh-mitra_em_stdby_ias95.pdf">average time between failures for reliability</a></li>
<li>disordered materials (physics)</li>
<li><a href="http://www.mdpi.com/1996-1073/9/4/286/pdf">Calculation of the energy output of a wind farm</a></li>
<li><a href="https://en.wikipedia.org/wiki/Search_and_Rescue_Optimal_Planning_System">US Coast Guard rescue missions</a></li>
<li><a href="http://www.sciencedirect.com/science/article/pii/S0920379612000580">Radiation shielding</a></li>
<li><a href="https://cneos.jpl.nasa.gov/sentry/intro.html">Predict number of asteroids that hit body of water</a></li>
<li><a href="https://en.wikipedia.org/wiki/Monte_Carlo_methods_in_finance">Financial modeling</a></li>
</ul>
<p>We will explore Monte Carlo modeling through the use of three examples:</p>
<ol>
<li><p>Calculate the value of $\pi$</p>
</li>
<li><p>Calculate the integral of a function</p>
</li>
<li><p>Propagate uncertainty in manufacturing into uncertainty in failure load</p>
</li>
</ol>
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<h1 id="Example-1:-Calculate-$\pi$-with-random-numbers.">Example 1: Calculate $\pi$ with random numbers.<a class="anchor-link" href="#Example-1:-Calculate-$\pi$-with-random-numbers.">&#182;</a></h1><p>Assuming we can actually generate random numbers (a topic of philosophical and heated debates) we can populate a unit square with random points and determine the ratio of points inside and outside of a circle.</p>
<p><img src="../images/MonteCarloPi.gif" alt="Unit circle and unit square"></p>
<p><img src="../images/MonteCarloPi_rand.gif" alt="1/4 Unit circle and 1/4 unit square"></p>
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<p>The ratio of the area of the circle to the square is:</p>
<p>$\frac{\pi r^{2}}{4r^{2}}=\frac{\pi}{4}$</p>
<p>So if we know the fraction of random points that are within the unit circle, then we can calculate $\pi$</p>
<p>(number of points in circle)/(total number of points)=$\pi/4$</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">rand</span><span class="p">(</span><span class="mi">10</span><span class="p">)</span>
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<pre>array([0.69419665, 0.38522961, 0.2673799 , 0.45284445, 0.20074092,
0.93544598, 0.7124594 , 0.77077166, 0.89242586, 0.62870529])</pre>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">montecarlopi</span><span class="p">(</span><span class="n">N</span><span class="p">):</span>
<span class="sd">&#39;&#39;&#39;Create random x-y-coordinates to and use ratio of circle-to-square to </span>
<span class="sd"> calculate the value of pi</span>
<span class="sd"> i.e. Acircle/Asquare = pi/4</span>
<span class="sd"> Arguments</span>
<span class="sd"> ---------</span>
<span class="sd"> N: number of random points to produce between x=0-1 and y=0-1</span>
<span class="sd"> </span>
<span class="sd"> Returns</span>
<span class="sd"> -------</span>
<span class="sd"> our_pi: the best prediction of pi using N points</span>
<span class="sd"> &#39;&#39;&#39;</span>
<span class="n">x</span><span class="o">=</span><span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">rand</span><span class="p">(</span><span class="n">N</span><span class="p">,</span><span class="mi">1</span><span class="p">);</span>
<span class="n">y</span><span class="o">=</span><span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">rand</span><span class="p">(</span><span class="n">N</span><span class="p">,</span><span class="mi">1</span><span class="p">);</span>
<span class="n">R</span><span class="o">=</span><span class="n">np</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="n">x</span><span class="o">**</span><span class="mi">2</span><span class="o">+</span><span class="n">y</span><span class="o">**</span><span class="mi">2</span><span class="p">);</span> <span class="c1"># compute radius</span>
<span class="n">num_in_circle</span><span class="o">=</span><span class="nb">sum</span><span class="p">(</span><span class="n">R</span><span class="o">&lt;</span><span class="mi">1</span><span class="p">);</span>
<span class="n">total_num_pts</span> <span class="o">=</span><span class="nb">len</span><span class="p">(</span><span class="n">R</span><span class="p">);</span>
<span class="n">our_pi</span> <span class="o">=</span> <span class="mi">4</span><span class="o">*</span><span class="n">num_in_circle</span><span class="o">/</span><span class="n">total_num_pts</span><span class="p">;</span>
<span class="k">return</span> <span class="n">our_pi</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">test_pi</span><span class="o">=</span><span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">(</span><span class="mi">10</span><span class="p">)</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mi">10</span><span class="p">):</span>
<span class="n">test_pi</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="o">=</span><span class="n">montecarlopi</span><span class="p">(</span><span class="mi">1000</span><span class="p">);</span>
<span class="nb">print</span><span class="p">(</span><span class="s1">&#39;mean value for pi = </span><span class="si">%f</span><span class="s1">&#39;</span><span class="o">%</span><span class="k">np</span>.mean(test_pi))
<span class="nb">print</span><span class="p">(</span><span class="s1">&#39;standard deviation is </span><span class="si">%f</span><span class="s1">&#39;</span><span class="o">%</span><span class="k">np</span>.std(test_pi))
<span class="nb">print</span><span class="p">(</span><span class="s1">&#39;actual pi is </span><span class="si">%f</span><span class="s1">&#39;</span><span class="o">%</span><span class="k">np</span>.pi)
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<pre>mean value for pi = 3.122400
standard deviation is 0.029837
actual pi is 3.141593
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<h1 id="Exercises">Exercises<a class="anchor-link" href="#Exercises">&#182;</a></h1><ol>
<li><p>Why is there a standard deviation for the value of $\pi$ calculated with a Monte Carlo method? Does it depend upon how many times you run the function i.e. the size of <code>test_pi</code>? or the number of random points <code>N</code>? Alter the script above to discover correlations</p>
</li>
<li><p>How well does our function <code>montecarlopi</code> converge to the true value of $\pi$ (you can use <code>np.pi</code> as a true value)? Plot the convergence as we did in <a href="https://github.uconn.edu/rcc02007/CompMech01-Getting-started/blob/master/notebooks/03-Numerical_error.ipynb">03-Numerical_error</a></p>
</li>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">test_pi</span><span class="o">=</span><span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">(</span><span class="mi">100</span><span class="p">)</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mi">100</span><span class="p">):</span>
<span class="n">test_pi</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="o">=</span><span class="n">montecarlopi</span><span class="p">(</span><span class="mi">1000</span><span class="p">);</span>
<span class="nb">print</span><span class="p">(</span><span class="s1">&#39;mean value for pi = </span><span class="si">%f</span><span class="s1">&#39;</span><span class="o">%</span><span class="k">np</span>.mean(test_pi))
<span class="nb">print</span><span class="p">(</span><span class="s1">&#39;standard deviation is </span><span class="si">%f</span><span class="s1">&#39;</span><span class="o">%</span><span class="k">np</span>.std(test_pi))
<span class="nb">print</span><span class="p">(</span><span class="s1">&#39;actual pi is </span><span class="si">%f</span><span class="s1">&#39;</span><span class="o">%</span><span class="k">np</span>.pi)
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<pre>mean value for pi = 3.137560
standard deviation is 0.050927
actual pi is 3.141593
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<p>Compare the above 100 <code>test_pi</code> cases each 1000 points.</p>
<p>to the below 10 <code>test_pi</code> cases each 10,000 points.</p>
<p>Above, the std is the same as before $\approx 0.05$</p>
<p>Below, the std is decreased to $\approx 0.01$</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">test_pi</span><span class="o">=</span><span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">(</span><span class="mi">10</span><span class="p">)</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mi">10</span><span class="p">):</span>
<span class="n">test_pi</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="o">=</span><span class="n">montecarlopi</span><span class="p">(</span><span class="mi">10000</span><span class="p">);</span>
<span class="nb">print</span><span class="p">(</span><span class="s1">&#39;mean value for pi = </span><span class="si">%f</span><span class="s1">&#39;</span><span class="o">%</span><span class="k">np</span>.mean(test_pi))
<span class="nb">print</span><span class="p">(</span><span class="s1">&#39;standard deviation is </span><span class="si">%f</span><span class="s1">&#39;</span><span class="o">%</span><span class="k">np</span>.std(test_pi))
<span class="nb">print</span><span class="p">(</span><span class="s1">&#39;actual pi is </span><span class="si">%f</span><span class="s1">&#39;</span><span class="o">%</span><span class="k">np</span>.pi)
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<pre>mean value for pi = 3.141280
standard deviation is 0.019888
actual pi is 3.141593
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">N</span><span class="o">=</span><span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mi">5</span><span class="p">)</span>
<span class="n">error</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">(</span><span class="nb">len</span><span class="p">(</span><span class="n">N</span><span class="p">))</span>
<span class="k">for</span> <span class="n">n</span> <span class="ow">in</span> <span class="n">N</span><span class="p">:</span>
<span class="n">mypi</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">(</span><span class="mi">10</span><span class="p">)</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mi">10</span><span class="p">):</span>
<span class="n">mypi</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="o">=</span><span class="n">montecarlopi</span><span class="p">(</span><span class="mi">10</span><span class="o">**</span><span class="n">n</span><span class="p">)</span>
<span class="n">mupi</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="n">mypi</span><span class="p">)</span>
<span class="n">error</span><span class="p">[</span><span class="n">n</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">np</span><span class="o">.</span><span class="n">pi</span><span class="o">-</span><span class="n">mupi</span><span class="p">)</span><span class="o">/</span><span class="n">np</span><span class="o">.</span><span class="n">pi</span>
<span class="n">plt</span><span class="o">.</span><span class="n">semilogy</span><span class="p">(</span><span class="n">N</span><span class="p">,</span><span class="n">error</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="s1">&#39;N=10^n&#39;</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="s1">&#39;relative error&#39;</span><span class="p">);</span>
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GVjXn65bQmx0dw6sBOjL+hMy6R4jyoUkaqEOoDKjvmwwk9wztW5K8Y6AvJWSWkZby3dylNz15Cz61C5bXExUdzUvyNjL0yjbRMt0iESSUIdQCNPto9z7oUga6s1FECRobTM8d7ybTw1Zw0rt5dfOaFBtDGsb3vuHpJOx2YJHlUoIscKaQDVVwqgyFJW5vh45U6enLOaZZvL92qKjjKuOact91yUTnrLRh5VKCIQpgAysyjgTHyrImQ75w6d5FNqNQVQZHLO8dnq3Tz58Wqyj1vGxwyu6tWG+y5Jp3vrxh5VKFK/hTyAzOxe4GGgOb7rQP2cc4vN7A1gjnPuidMpOBIpgCKbc46snDyenLOaeWtzT9h++ZmtuP+SrvQ6pjuriIRfSBvSmdkY4B/4ZsDdgK8T6hGfA9efSpEip8PMGNSlGTPGDGT23YO4uFuLcts//GYHQ5/6gjumLmDRhjyPqhSRygQ7CeFb4C3n3M/MLBooBjL8R0BXAVOcc63DXGuN0xFQ7fP15n08NXc1H6zYccK2QWnNuP/SdAalNUOLuouET7BHQMEuRtoZ+KCSbYeAJsEWJhJOvdonM+m2DFZtP8BTc9fwzrKtHPkbKzMnl8ycXPp2asr9l6Qz5IwWCiIRDwXbjmE3kFrJtm7AlpBUIxIi3Von8eRNffjoJ0O4/tz2REcdDZpFG/Zwx9SFXPP0l3y4YjtlZZoJKuKFYE/BTQCuAC4BNuA7BdcX2AR8AbzrnPtpGOv0hE7B1R2b8vJ55pO1zFq0ieLS8v/nu7dO4t6L07myV5tyQSUipybUN6I2A+YBHYD5wIX+j7sDO4HBzrl9lT9D7aQAqnu27TvMpE9zeHnBRgpLysptS2uRyL0XpXPNOW2JiQ725ICIHC8c07CTgB8D3wdaArnA+8Djzrn9p1FrxFIA1V07DxQw5fN1vJi1gfyi0nLbOqQ05J6L0vnhue3UHE/kFGglhBBQANV9eYeKmPrlOv755XoOHNd7qE1yPOOHdGFEvw7EN1AQiQRLARQCCqD6Y9/hYqbNW8+UL9exN79876EWSXGMvSCNmwd0JDEu2ImjIvWXAigEFED1z6HCEqZnbeC5z3PYfbCo3LamCQ0YdX5nbh+cSuP4Bh5VKBL5FEAhoACqvwqKS3llwUYmfprD9v3HNceLj+HOwanceV5nmqo5nsgJFEAhoACSwpJSZi/awjOfrGHznsPltiXGRnProE6MuSCN5o3iKnkGkfpHARQCCiA5ori0jDe/2sozc9eQs7v8IvDxDXzN8cZd2IXWyerSKqJ2DKdBLbmlMqVljne/3sZTc1bz3Y6D5bbFRkcxPKM944d0oUOKmuNJ/RXOdgzN/ENqxyD1VlmZ48NvdvDU3NUs31L+NriYKOPaPu249+J0OjdP9KhCEe+Esx3DCNSOQeq5qCjjBz1b8/Z95zP1jn706Xh0Pd6SMsesRZu59G+f8MDLS/hux4Eqnkmk/lI7hiroCEiC5Zwjc20uT8xZTVbOib2HfnBWa+67JJ2e7dQcT+o+tWMQqUFmxuD05gxOb87C9Xk8OWcNn323K7D9/RXbeX/Fdi7p3pL7Lknn3I5NPaxWJDKoHYNIiPVLTWHaXf15897z+N6Zrcptm7NyJz98Zh63Tp5PVs6JbcRF6hO1Y6iCTsFJKHyzdT9Pf7KGf3+9jeN/3PqnpnDfJelc0LW5muNJnaF2DCGgAJJQWrPzAM/MXcubS7dSelwTvN4dmnD/xelc2qOlgkhqPbVjCAEFkITDhtxDTPhkLbMXbz6hOV6PNo25/5J0fnBWa6LUHE9qKa2EEAIKIAmnLXsPM+nTtbyycBNFxzXHS2/ZiHsv7sLQs9UcT2qfUJ+C+zswzTn3VSiKqy0UQFITdu4v4NnPcnhp/kYOF5dvjtepWQL3XNSF6/q0JzZGQSS1Q6gDaA/QGPgWeAGY4Zyr8zPfFEBSk3IPFjLli3VMy9zAweOa47Vr0pDxQ9IYnqHmeBL5Qh1AscBQ4DbgB/juH/oEXxi9XlfXhFMAiRf25Rfzz3nref7Ldew7XL45XsukOMZe6GuOlxCr5ngSmcJ2DcjMmgI3AbcAg4B84F/OudtOpdBIpgASLx0oKGZ61kYmf55D7qHyzfGaJcby08u7cfOAjh5VJ1K5GpmEYGZDgOlAW+dcnTsvoACSSJBfVMLLCzYx6dO17DxQWG7bA5ek8+D3ztDUbYkoIV2M9LgnTjSzkWb2H+AjoDkw+xRqFJEgJMTGMOr8znz23xfzh2t70q5Jw8C2J+as4ZF3vqGsTLNZpfYJdjXsKDP7gZm9BOwAngfigHuA1s65G8JYo4gA8Q2iuW1gJz7+6RAu6tYiMD71y/X8/PVlJ9zcKhLpgj0C2gq8C2QAjwJdnHMXOueeq4srIIhEsvgG0Tx7WwZX9WoTGHstezMPvLzkhPuJRCJZsNNoZuO7D2h+OIsRkeDExkTxxE19SIiNZuaizQC8+/U28otKmHBrX03VllohqCMg59y9Ch+RyBIdZTx6/dncMTg1MDZ31S5GPr/ghPuIRCJRpUdAZnYhsNg5d9D/fpWcc5+FtDIROamoKOPhoWeSFB/Dk3PWADB/XR63TJ7PC3f2o0lCrMcVilSuqlNwnwADgQX+9yu7wmn+bTrmF/GAmfHTy7uRGBfDX99bCcDSTXsZMSmLF0f3p2VSvMcVilSsqgC6GPjG//4lVB5AIhIBxg/pQqO4GH7z5nKcg1U7DjBiUhbTRw8oN3VbJFJoNewq6EZUqY3+tWQzD808Oi27bXI800cPIK1FI48rk/oipDeimlmOmfWuZFtPM8upboEiEh7X9WnPM7ecS6y/jcPWfQXcMCmTb7fVybZdUosFex9QKr4bTysSD3QKSTVhYGbxZvaGmX1rZl+Z2QdmluZ1XSLh9P2zWjPljgwa+qdj7z5YxIhJmSzZuMfjykSOqs5SPJWdq8sA9oaglnCa4Jzr4Zw7B3gbmOx1QSLhdkHXFrw4qj9Jcb5LvfsLSrhl8nzmrd3tcWUiPpUGkJk9aGYbzWwjvvB5+8jHxzx2AU/ja80dFDNrb2ZPmlmmmeWbmTOz1Er27WBms8xsn5ntN7PXzaxay/865wqccx8cM5QF6AhI6oWM1BReHjuQlETfdOz8olLunLqQOSt3eFyZSNVHQDnAx/6HAdnHfHzkMRt4EBhTjddMB24A9gCfV7aTmSUAc4DuwEh8vYi6AnPNLLEar3e8+4E3T+PzRWqVnu2SeW3cQFo19p1FLywpY+y0Rby9dKvHlUl9V+k0bOfcm/h/UfuXen/EObcuBK/5mXOulf95RwOXV7LfGHxHKt2cc2v8+y8DVgPjgL/7xxYDlR0V9XHObTrygZn9AjgDuDQEX4dIrZHeMolZ4wdz8+QsNuUdpqTM8cArS8gvKmFEP/UUEm8EuxTPnSEKH5xzwa6WeDWQdSR8/J+7DvgSuOaYsXOdc80reRwbPg8B1wNXOOfyQ/G1iNQmHVISmDluMOktfdOxnYOfzf6aKV+E5EdbpNqC7unrb8t9BdAN38y3Yznn3B9CWRhwFhWfKlsBDK/OE5nZT/B1cb3MORfpEyZEwqZ1cjyvjRvE7c/PZ/kW37TsP7zzDYcKS7j/knQ1tpMaFVQAmVlb4At807EdvmtCUH5mXKgDKAXfdaLj5QFNg30SM2sP/A3fNa25/h+wkspukjKzscBYgI4ddWpC6p6UxFhmjBnIXVMXkr3B9yP29/98x8HCEn5xRXeFkNSYYKdhPwbswnetxYAB+K7P/AlYQ/hmlVU09btaPx3Ouc3OOXPOdXHOneN/VHqHrnPuWedchnMuo0WLFpXtJlKrNY5vwLRR/bmga/PA2LOf5fDLfy1XYzupMcEG0AX4jiKOTJspc86td879FpgFPBGG2vbgOwo6XlMqPjISkWpIiI1h8sgMvn9Wq8DYyws28uCrX1FcqsZ2En7BBlAzYKt/AsEhyp8CmwNcFOK6wHet56wKxs/k6CKpInIa4mKiefrmc/lhn3aBsbeWbuXu6YspKC71sDKpD4INoM3AkWP1tZSfOt0fKAhlUX5vAQOPXTbHf8Pqef5tIhICMdFR/O/w3tw68Og1z4++3cGoFxZySI3tJIyCDaC5wBD/+5OAh8zsQzN7F9/kg1nVeVEzG2Zmw4C+/qEr/GNDjtntOWA98KaZXWNmV+ObFbfJX0PYmNlQM3t237594XwZkYgRFWX84ZqejB/SJTD25Zpcbpsyn32Hiz2sTOqyoNoxmFlzIMU5953/4/uBEUACvmV4HnHOBX0UZGaVveinzrmLjtmvI/A48D18kw8+Bn7snFsf7GudDrVjkPro6blreOyDVYGPe7RpzIuj+tO8UWXrEYuUF2w7BvUDqoICSOqrF+at5+G3VgQ+TmuRyEujB9AmWY3t5ORC2g9IROqXkYNTeWzY2UT5b3rI2XWIYRMy2ZB7yNvCpE6p9EZUM3u+Gs/jnHOjQlCPiESI4RkdSIyL4UevLKG41LFl72GGT8xk+ugBnNEqyevypA6oaiWES6i8B9Dx6tR5PDMbCgxNT0/3uhQRT13Zqw0NY6MZ/+IiCkvK2HmgkBsmZTLtrv6c3b6J1+VJLadrQFXQNSARn/k5uYx6IZuD/mnZjeJimDIygwFpzTyuTCKRrgGJSMgMSGvGS6MH0CShAQAHC0sYOXUBn6za6XFlUpsFHUBmlmhmD/g7lM41s67+8RvNrHv4ShSRSNC7QxNeHTuIFkm+6dgFxWWMmZbNe19v87gyqa2CCiAz6wAsw7coaVfgQuDIVciLgYfCUp2IRJRurZOYOW4Q7Zr4pmMXlzrunbGYWYs2e1yZ1EbBHgH9DSjEFz59Kb8i9af4AklE6oHU5onMHD+ItOaJAJQ5eGjmUl6Yt97bwqTWCTaAvgc87JzbyIkz3rYA7U78lNpLS/GIVK1tk4a8Nn4QPdo0Dow9/NYKnp67porPEikv2ACKBQ5Usi0ZqFOLRTnn3nbOjU1OTva6FJGI1bxRHK+MGUifjkenYz/2wSoefX8lml0rwQg2gJYB11ey7QpgUWjKEZHaJDmhAdNHDWBwl6PTsSd8spbfvrmCMjW2k5OoTkfUUWb2HEev95xpZr8HRvm3i0g9lBgXw/N39OOyHi0DYy9mbeChmUspUWM7qUJQAeScex24BxgOfOQfngb8GLjPOfd+eMoTkdogvkE0E27ty9W92wbGXl+yhftmLKGwRI3tpGJB3wfknJuIb7LB94Fb8Z16a++cezZMtYlILdIgOorHR5zDTf07BMbeX7GdMdMWcbhIISQnOmkAmVmsmf3LzC50zh1yzn3knJvhnPvAOVfZxAQRqYeio4w/X9eL0ed3Dox99t0ubn9+PvsL6tRcJQmBkwaQc64IuCyYfUVEzIxfXdWDBy87IzC2cP0ebn4ui7xDRR5WJpEm2FD5EhgYzkIiie4DEjk9ZsaPLuvKr6/qERhbvmU/IyZlsmN/0M2TpY4LNoB+im8W3H1m1t7Mos0s6thHOIusaboPSCQ0Rl+Qxl9/2Avzr52yeudBhk/MZFNevreFSUQINji+BroA/wA2AEX4bj498tBxtYhU6Mb+HfnHjX2I8bdX3ZiXz/CJmazZedDjysRrVTWkO9Yj1LGmcyJSc67u3ZbE2GjufmkxRSVlbN9fEGhs17OdzjTUV2pIVwU1pBMJrXlrdzP6hWzy/dOyk+JjmHpHPzJSUzyuTEJJDelEJOIM7tKc6aMH0Djed/LlQEEJt01ZwBerd3tcmXhBASQiNercjk15ddwgmjeKBeBwcSl3/XMhH67Y7nFlUtMUQCJS43q0acyr4wbRJjkegKLSMu5+aTFvLNnicWVSkxRAFdB9QCLh16VFI2aOH0RqswQASsscD772FS/N3+BxZVJTFEAV0H1AIjWjfdMEXhs/iG6tkgBwDn71r+VM+nStx5VJTVAAiYinWibF8+q4gfRuf/QPvr+8t5K/fbhKje3qOAWQiHiuSUIs00cPoH/no9Oxn5yzhkfe+UaN7eowBZCIRISk+Aa8cGd/LurWIjA29cv1/Pz1ZZQqhOokBZCIRIyGsdE8e1sGV/VqExh7LXszD7y8hKISdVetaxRAIhJRYmOieOKmPgzv2z4w9u7X2xj3YjapTOAbAAAM9UlEQVQFxWpsV5cogEQk4kRHGY9efzZ3DE4NjM1dtYuRzy/gYGGJd4VJSCmARCQiRUUZDw89k/svSQ+MzV+Xxy2T57M3Xwvw1wUKIBGJWGbGTy/vxs+v6B4YW7ppLyMmZbHzgBrb1XYKoApoJQSRyDJ+SBf+eG3PQGO7VTsOcMPETDbvUWO72kwBVAGthCASeW4d2Im/39CbaH9ju/W5+dwwMZOcXWpsV1spgESk1riuT3ueueVcYqN9v7q27vM1tvt2236PK5NToQASkVrl+2e1ZsodGTRsEA3A7oNFjJiUyZKNezyuTKpLASQitc4FXVvw4qj+JMX5GtvtLyjhlsnzmbdWje1qEwWQiNRKGakpvDx2ICmJvsZ2+UWl3DF1IXNW7vC4MgmWAkhEaq2e7ZJ5bdxAWjWOA6CopIyx0xbx9tKtHlcmwVAAiUitlt4yiVnjB9MhpSEAJWWOB15ZwqsLN3pcmZyMAkhEar0OKQnMHDeY9JaNAF9ju5/N/popX6zzuDKpigJIROqE1snxvDZuED3bNQ6M/eGdb/jHR6vV2C5CKYBEpM5ISYxlxpiBZHRqGhh7/KPv+PO/v1UIRSAFkIjUKY3jGzBtVH8u6No8MPbc5+sY9UI2ry7cyMbcfIVRhDD9Q1QuIyPDZWdne12GiJyCwpJSHnh5CR+sOHFadrsmDRmQlsKgtGYMTGtGh5QEDyqsu8xskXMu46T7KYAqpwASqd1KSsv4xetfM3PR5ir3a9+0YSCMBnVpRtsmDWuowrpJAXQazGwoMDQ9PX3M6tWrvS5HRE7T8i37+HLNbjJzclm4Lo9DRVV3Vu2YksAgfxgNTGtG6+T4Gqq0blAAhYCOgETqnpLSMr7eso/MnFyycvLIXp9H/kkCqXPzRAampfiOkNKa0bKxAqkqCqAQUACJ1H3FpWUs27yXrJw8Mtfmkr0hj4Lisio/J61FYuAIaUDnZrRIiquhamsHBVAIKIBE6p+ikjKWbt5L5tpcsnJyWbRhD4UlVQdS15aNAtePBnROoVmj+h1ICqAQUACJSEFxKUs37SUzJ5fMtbks2biXotKqA6lbqyT/9aMUBnRuRlP/gqn1hQIoBBRAInK8guJSFm/cQ9Za3zWkJZv2UFxa+e9RM+jeujED/dO+B3RuRnJCgxqsuOYpgEJAASQiJ3O4yBdImWtzyczJZemmvZSUVR1IZ7ZpHJj23T8thcbxdSuQFEAhoAASkerKLyohe/0e/yy7XJZt3kdpFYEUZb62Ekdm2GWkNiWplgeSAigEFEAicroOFpawcH0eWTm5ZK3N5est+6gij4iOMnq2S/YfIaXQLzWFRH/n19pCARQCCiARCbUDBcUsXJ/nn2WXx4qtVQdSTJRxdvvkwCy7vp2akhAb2YGkAAoBBZCIhNu+w8UsXJcXmGX37fb9VPVruUG00bt9k8AqDX07NSW+QXTNFRwEBVAIKIBEpKbtzS9i/jrfKbvMtbms3H6gyv1jo6M4p2OTwDWkPh2beB5ICqAQUACJiNfyDhWxYF1uYJbddzsOVrl/bEwU5x4TSOd0bEJcTM0GkgIoBBRAIhJpdh8sZH5OHpk5u8nKyWPNzqoDKS4mir6dmgaWDjq7fRNiY8LbCk4BFAIKIBGJdDsPFPgDyTfLLmf3oSr3b9ggmozUpgz034d0dvtkGkSHNpAUQCGgABKR2mbH/oLA9aOsnFzW5+ZXuX9CbDQZqSmBad+92iUTc5qBpAAKAQWQiNR2W/ceZv4x15A25R2ucv9GcTH08x8hXXZmK7q0aFTt1ww2gCJ7MrmIiJyWtk0acl2f9lzXpz0Am/fkk5VzdJbdlr3lA+lgYQlzV+1i7qpdREfZKQVQsBRAFTimI6rXpYiIhFT7pgkM65vAsL6+QNqUlx+4fpSZk8u2fQWBfQemNQtrLToFVwWdghOR+sQ5x8a8fDLX5rJ44x7++sOziYqyaj+PTsGJiEi1mBmdmiXSqVkiN/bvGPbXC+9kcBERkUoogERExBMKIBER8YQCSEREPKEAEhERTyiARETEEwogERHxhG5ErYKZ7QI2nOKnNwd2h7Cc+kDfs+rR96t69P2qntP5fnVyzrU42U4KoDAxs+xg7gSWo/Q9qx59v6pH36/qqYnvl07BiYiIJxRAIiLiCQVQ+DzrdQG1kL5n1aPvV/Xo+1U9Yf9+6RqQiIh4QkdAIiLiCQVQCJlZBzObZWb7zGy/mb1uZuFf07yWMrP2ZvakmWWaWb6ZOTNL9bquSGVmw8xstpltMLPDZrbKzP5iZkle1xaJzOz7ZjbHzLabWaGZbTaz18zsTK9rqw3M7H3/z+Qfw/UaCqAQMbMEYA7QHRgJ3AZ0BeaaWaKXtUWwdOAGYA/wuce11AYPAaXAL4EfABOAu4H/mJl+lk+UAiwC7gMuB34BnAVkmVknLwuLdGZ2E9A73K+jhnShMwZIA7o559YAmNkyYDUwDvi7h7VFqs+cc60AzGw0vl8SUrmhzrldx3z8qZnlAS8AF+H7A0j8nHMvAy8fO2ZmC4CVwDDgb17UFenMrAnwOPAgMCOcr6W/mkLnaiDrSPgAOOfWAV8C13hWVQRzzpV5XUNtclz4HLHQ/7ZdTdZSi+X63xZ7WkVk+x9ghT/Aw0oBFDpnAcsrGF8B6JyzhMsQ/9tvPa0igplZtJnFmllXYBKwHXjF47IikpmdD9wO3FMTr6dTcKGTgu9axvHygKY1XIvUA2bWDngE+Mg5l+11PRFsPtDX//4a4BLn3E4P64lIZtYAX0D/r3NuVU28po6AQquim6qsxquQOs/MGgFvAiXAnR6XE+luAwYCNwP78U3aSPWyoAj1M6Ah8KeaekEdAYXOHnxHQcdrSsVHRiKnxMzigbfwTXoZ4pzb7HFJEc05d+T05Hwzew9YD/wcGO9ZURHGf7vIr4DRQJyZxR2zOc4/MeGAc640lK+rI6DQWYHvOtDxzgS+qeFapI7ynyaZDfQHrnTOfe1xSbWKc24vvtNw6V7XEmHSgHhgOr4/mI88wDf9fw/QK9QvqgAKnbeAgWaWdmTAf5h/nn+byGnx3+vzEnApcI1zLsvjkmodM2uF7169tV7XEmG+Ai6u4AG+ULoYX3CHlNaCCxH/zaZLgcPAr/FdD/oDkASc7Zw76GF5EcvMhvnfvRTfKZF7gF3ALufcp54VFoHMbAK+79GfgHeO27xZp+LKM7N/AYuBZfiu/ZyB796W1kB/59x3HpZXK5iZA/7knPt1WJ5fARQ6/vOojwPfwzf54GPgx8659V7WFcn8/8Er8qlz7qKarCXSmdl6oLI7+H/vnPtdzVUT+czsZ/hW2ugCxAKbgE+Av+hnMjgKIBERqZN0DUhERDyhABIREU8ogERExBMKIBER8YQCSEREPKEAEhERTyiARKrJzO7wtyrea2ZNj9sW49/2u9N8jaFmNsPMvjOzMjP7pIp9zzKzD83soJnlmtlUM6toXcJjP+cMM/udmd18OnWKnA4tRipy6pLxrSD88zA897XAOUAWvjW6KmRmbfHdXHmky2cT4DHgHTM7v6Kmf/4bpj8CmgMNzSzZOTch5F+ByEkogERO3YfA/Wb2f8657SF+7jFHwsPMvqhiv/8HNMDXrnuvf/+twKf4Quz1Y3f2r4X2EZCPb020HwFPm9kB59z0EH8NIlXSKTiRU/dH/9tfhfqJq9Gu/Grg3SPh4//cz4CNHNcK3n+68EPgAHCBc26jc+6nwG+AqWZ27XH7p/pPJ44zs0fMbJv/tOPbZtb+NL48EUABJHI6tgFPAWPNrLI12o5cFzrZI7q6L25mDYHOBNEK3r9Y7r/xLat/sXNu15Ftzrk/AfcDM8zsexU81y/wtS+4C98R0yB8q3KLnBadghM5PY8C44CH8f2CLsffkmNdEM+zAUit5ms3xbfobWWt4Lsd+cA5dwhfcFTIOTcRmFhZbc65wGQFM2sBPGZmbZ1zW6tZs0iAAkjkNDjn8szsb8DDZvYoJ/aZ2Qr0C+KpCk/h5Y+0ew93K/h3j/v4SBO8jvi+PpFTogASOX2P4zuF9Qhwy7EbnHNFZvZVEM9xKsvS7/F/XmWt4PNO4TkrcvzzHAnLSmfniQRD14BETpO/2eBfgOH4pk4H+E/BFQfxqHaHTudcPrAetYKXWkpHQCKh8QzwE47OjDsinKfgwNfufaT/Xp59AGZ2Pr7GdWoFLxFNASQSAs65QjN7BHj2uPEiILu6z+efVXckuJoBZce0L1/onNvgf/8x4FbgLTP7C76bY/8HWAD8q9pfiEgN0ik4kdCZCqwO0XNdDMz0P7rjO6V25OOLj+zknNvi/7gImI1vJttc4Mpq3Esk4gm15BYREU/oCEhERDyhABIREU8ogERExBMKIBER8YQCSEREPKEAEhERTyiARETEEwogERHxhAJIREQ88f8BYieyDWgHQDUAAAAASUVORK5CYII=
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<h1 id="Example-2:-Calculate-the-integral-of-a-function">Example 2: Calculate the integral of a function<a class="anchor-link" href="#Example-2:-Calculate-the-integral-of-a-function">&#182;</a></h1><p>One way to calculate the integral of a function, $f(x)$, is to approximate it as a Riemann sum as such</p>
<p>$I=\int_{a}^{b}f(x) dx \approx \Delta x \left(f(a)+f(a+\Delta x)+f(a+2\Delta x)+...+f(b)\right))$.</p>
<p>Another way to integrate this function is with a <a href="https://en.wikipedia.org/wiki/Monte_Carlo_integration">Monte Carlo approach</a> [2, 3]. We can approximate the integral as such</p>
<p>$I=\int_{a}^{b}f(x) dx \approx \frac{1}{n}\sum_{i=1}^n f(x_i)$.</p>
<p>where $x_i$ are uniformly random values of $x$ over the interval $[a,b]$. We were actually doing this in two dimensions in Example #1 when we compared the area of the circle to the area of a square.</p>
<p>Visually, this approximation can be represented by the following figure.</p>
<p><img src="../images/integrals.png" alt="Integration approximation"></p>
<p>The figure above shows the exact integral on the left as compared to two approximations, the Riemann sum (top-right) and Monte Carlo method (bottom-right).</p>
<p>The main benefit in using a Monte Carlo integration over a Riemann sum (or another non-random method e.g. trapezoidal) is that the integration converges as</p>
<p>$error \approx \frac{1}{\sqrt{n}}$</p>
<p>independent of the number of dimensions in the formula. Non-random methods have convergence rates that depend upon the step size along each axis, so with two dimensions reducing the step size to 1/3 increases n by 4, in three dimensions its 8, in 4D its 16, and so on. We'll do an example with a 1D function to introduce the concept.</p>
<p>You can even integrate functions that are not easy to evaluate, such as the <a href="http://leios.github.io/Batman_Montecarlo">area of light shown by the bat signal</a></p>
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<h2 id="Exercise-(Discussion)">Exercise (Discussion)<a class="anchor-link" href="#Exercise-(Discussion)">&#182;</a></h2><p>Why does the Monte Carlo method work? Is there a benefit to random numbers as opposed to using an ordered set divided into equally-spaced intervals?</p>
<p><em>Monte Carlo integration is the average of 0-order Taylor series exansions. The function is sampled at random locations and assumed constant throughout the interval of interest. It converges slower than other methods, but it converges at the same rate independent of the number of independent variables</em></p>
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<p>In this example, we will calculate the integral $I=\int_{1}^{3}f(x)dx$ where</p>
<p>$I=\int_{1}^{3}\frac{x}{1+x^2}dx \approx \frac{1}{n}\sum_{i=1}^n \frac{x_i}{1+x_i^2}$</p>
<p>Our first objective is to take random numbers between 0 and 1 and turn them into random number between 1 and 3. This process is called <em>scaling</em> or <em>transforming</em> our variable $x_{i}$</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">ri</span><span class="o">=</span><span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">rand</span><span class="p">(</span><span class="mi">100</span><span class="p">)</span>
<span class="n">xi</span><span class="o">=</span><span class="mi">1</span><span class="o">+</span><span class="p">(</span><span class="mi">3</span><span class="o">-</span><span class="mi">1</span><span class="p">)</span><span class="o">*</span><span class="n">ri</span> <span class="c1"># scaling equation for our uniform distribution 0..1 to 1..3</span>
<span class="n">plt</span><span class="o">.</span><span class="n">hist</span><span class="p">(</span><span class="n">xi</span><span class="p">,</span><span class="n">label</span><span class="o">=</span><span class="s1">&#39;x_i: our scaled var&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">hist</span><span class="p">(</span><span class="n">ri</span><span class="p">,</span><span class="n">label</span><span class="o">=</span><span class="s1">&#39;r_i: our original var&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">legend</span><span class="p">();</span>
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<h2 id="Exercise">Exercise<a class="anchor-link" href="#Exercise">&#182;</a></h2><p>Compare the scaled histogram to the original histogram. What is similar? What is different?</p>
<p>Make a scaling equation to get uniformly random numbers between 10 and 20.</p>
<p><em>The scaling keeps the bin heights constant, but it changes the width and location of the bins in the histogram. Scaling to 10-20 shows a more extreme example.</em></p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">ri</span><span class="o">=</span><span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">rand</span><span class="p">(</span><span class="mi">100</span><span class="p">)</span>
<span class="n">xi</span><span class="o">=</span><span class="mi">10</span><span class="o">+</span><span class="p">(</span><span class="mi">20</span><span class="o">-</span><span class="mi">10</span><span class="p">)</span><span class="o">*</span><span class="n">ri</span> <span class="c1"># scaling equation for our uniform distribution 0..1 to 1..3</span>
<span class="n">plt</span><span class="o">.</span><span class="n">hist</span><span class="p">(</span><span class="n">xi</span><span class="p">,</span><span class="n">label</span><span class="o">=</span><span class="s1">&#39;x_i: our scaled var&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">hist</span><span class="p">(</span><span class="n">ri</span><span class="p">,</span><span class="n">label</span><span class="o">=</span><span class="s1">&#39;r_i: our original var&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">legend</span><span class="p">();</span>
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<h2 id="Performing-the-integration">Performing the integration<a class="anchor-link" href="#Performing-the-integration">&#182;</a></h2><p>If you have been doing a lot of calculus lately, you may know that</p>
<p>$\int\frac{x}{1+x^2}dx = \frac{\log({x^2+1})}{2}$.</p>
<p>If not, Python's <a href="https://docs.sympy.org/1.5.1/modules/integrals/integrals.html">Sympy: Symbolic algebra</a> can help you jog your memory [4]. It will also give us an exact solution to judge our convergence.</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">sympy</span>
<span class="n">x</span><span class="o">=</span><span class="n">sympy</span><span class="o">.</span><span class="n">Symbol</span><span class="p">(</span><span class="s1">&#39;x&#39;</span><span class="p">)</span>
<span class="n">sympy</span><span class="o">.</span><span class="n">integrate</span><span class="p">(</span><span class="n">x</span><span class="o">/</span><span class="p">(</span><span class="mi">1</span><span class="o">+</span><span class="n">x</span><span class="o">**</span><span class="mi">2</span><span class="p">),</span><span class="n">x</span><span class="p">)</span>
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$\displaystyle \frac{\log{\left(x^{2} + 1 \right)}}{2}$
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">sympy</span><span class="o">.</span><span class="n">integrate</span><span class="p">(</span><span class="n">x</span><span class="o">/</span><span class="p">(</span><span class="mi">1</span><span class="o">+</span><span class="n">x</span><span class="o">**</span><span class="mi">2</span><span class="p">),(</span><span class="n">x</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span><span class="mi">3</span><span class="p">))</span><span class="o">.</span><span class="n">evalf</span><span class="p">()</span>
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$\displaystyle 0.80471895621705$
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<p>So the exact integral that we are approximating is</p>
<p>$I=\frac{\log{10}}{2}-\frac{\log{2}}{2}=0.80471895621705$</p>
<p><em>Note: We won't be using sympy for general numerical methods. It is helpful to do some algebra for us, but in general we want to use arrays so that our solutions can be scaled up and solved quicker by the computer.</em></p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">f</span><span class="o">=</span> <span class="k">lambda</span> <span class="n">x</span><span class="p">:</span><span class="n">x</span><span class="o">/</span><span class="p">(</span><span class="mi">1</span><span class="o">+</span><span class="n">x</span><span class="o">**</span><span class="mi">2</span><span class="p">)</span>
<span class="n">n</span><span class="o">=</span><span class="mi">10</span>
<span class="n">ri</span><span class="o">=</span><span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">rand</span><span class="p">(</span><span class="n">n</span><span class="p">)</span>
<span class="n">xi</span><span class="o">=</span><span class="mi">1</span><span class="o">+</span><span class="p">(</span><span class="mi">3</span><span class="o">-</span><span class="mi">1</span><span class="p">)</span><span class="o">*</span><span class="n">ri</span> <span class="c1"># scaling equation for our uniform distribution 0..1 to 1..3</span>
<span class="c1"># we scaled our variable by a factor of 2 so we scale the bins accorcdingly</span>
<span class="n">bin_scale</span> <span class="o">=</span> <span class="mi">3</span><span class="o">-</span><span class="mi">1</span>
<span class="n">my_I</span><span class="o">=</span><span class="nb">sum</span><span class="p">(</span><span class="n">f</span><span class="p">(</span><span class="n">xi</span><span class="p">))</span><span class="o">/</span><span class="n">n</span><span class="o">*</span><span class="n">bin_scale</span>
<span class="nb">print</span><span class="p">(</span><span class="n">my_I</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">bar</span><span class="p">(</span><span class="n">xi</span><span class="p">,</span><span class="n">f</span><span class="p">(</span><span class="n">xi</span><span class="p">),</span><span class="n">width</span><span class="o">=</span><span class="n">bin_scale</span><span class="o">/</span><span class="n">n</span><span class="p">,</span><span class="n">color</span><span class="o">=</span><span class="p">[</span><span class="mf">0.1</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span><span class="mf">0.5</span><span class="p">])</span>
<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mi">4</span><span class="p">),</span><span class="n">f</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mi">4</span><span class="p">)),</span><span class="n">color</span><span class="o">=</span><span class="s1">&#39;k&#39;</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="s1">&#39;Graphical illustration of Monte Carlo&#39;</span><span class="o">+</span>\
<span class="s1">&#39; integration</span><span class="se">\n</span><span class="s1"> I=</span><span class="si">{:.4f}</span><span class="s1">&#39;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">my_I</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="s1">&#39;x&#39;</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="s1">&#39;f(x)&#39;</span><span class="p">)</span>
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<pre>0.7993808558656333
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<pre>Text(0,0.5,&#39;f(x)&#39;)</pre>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">montecarlo_integrate</span><span class="p">(</span><span class="n">f</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="n">N</span><span class="p">):</span>
<span class="sd">&#39;&#39;&#39;Estimate the integral of a function f(x) from a-&gt;b with N </span>
<span class="sd"> randomly chosen points</span>
<span class="sd"> Arguments</span>
<span class="sd"> ---------</span>
<span class="sd"> f: a function of the form f=lambda x: ...</span>
<span class="sd"> a: the lower bound of the integration</span>
<span class="sd"> b: the upper bound of the integration</span>
<span class="sd"> N: number of random points to produce between xi=a-b</span>
<span class="sd"> </span>
<span class="sd"> Returns</span>
<span class="sd"> -------</span>
<span class="sd"> our_I: the best prediction of the integral using N points </span>
<span class="sd"> &#39;&#39;&#39;</span>
<span class="n">ri</span><span class="o">=</span><span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">rand</span><span class="p">(</span><span class="n">n</span><span class="p">)</span>
<span class="n">xi</span><span class="o">=</span><span class="n">a</span><span class="o">+</span><span class="p">(</span><span class="n">b</span><span class="o">-</span><span class="n">a</span><span class="p">)</span><span class="o">*</span><span class="n">ri</span> <span class="c1"># scaling equation for our uniform distribution 0..1 to 1..3</span>
<span class="c1"># we scaled our variable by a factor of 2 so we scale the bins accorcdingly</span>
<span class="n">bin_scale</span> <span class="o">=</span> <span class="n">b</span><span class="o">-</span><span class="n">a</span>
<span class="n">our_I</span><span class="o">=</span><span class="nb">sum</span><span class="p">(</span><span class="n">f</span><span class="p">(</span><span class="n">xi</span><span class="p">))</span><span class="o">/</span><span class="n">n</span><span class="o">*</span><span class="n">bin_scale</span>
<span class="k">return</span> <span class="n">our_I</span>
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<p>In the above function, we have defined a general Monte Carlo integration function. Now, we can create a for loop to try the function multiple times and get an average and standard deviation.</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">test_I</span><span class="o">=</span><span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">(</span><span class="mi">10</span><span class="p">)</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mi">10</span><span class="p">):</span>
<span class="n">test_I</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="o">=</span><span class="n">montecarlo_integrate</span><span class="p">(</span><span class="n">f</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span><span class="mi">3</span><span class="p">,</span><span class="mi">500</span><span class="p">);</span>
<span class="nb">print</span><span class="p">(</span><span class="s1">&#39;mean value is I = </span><span class="si">{}</span><span class="s1">&#39;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="n">test_I</span><span class="p">)))</span>
<span class="nb">print</span><span class="p">(</span><span class="s1">&#39;standard deviation is </span><span class="si">{}</span><span class="s1">&#39;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">std</span><span class="p">(</span><span class="n">test_I</span><span class="p">)))</span>
<span class="nb">print</span><span class="p">(</span><span class="s1">&#39;actual I = 0.80471895621705&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="s1">&#39;error in mean = </span><span class="si">{}</span><span class="s1">&#39;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="mf">0.80471895621705</span><span class="o">-</span><span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="n">test_I</span><span class="p">)))</span>
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<pre>mean value is I = 0.8085180621282021
standard deviation is 0.03561018791056599
actual I = 0.80471895621705
error in mean = -0.0037991059111520675
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<h3 id="Example-3:-Determine-uncertainty-in-failure-load-based-on-geometry-uncertainty">Example 3: Determine uncertainty in failure load based on geometry uncertainty<a class="anchor-link" href="#Example-3:-Determine-uncertainty-in-failure-load-based-on-geometry-uncertainty">&#182;</a></h3><p>In this example, we know that a steel bar will break under 940 MPa tensile stress. The bar is 1 mm by 2 mm with a tolerance of 10 %. What is the range of tensile loads that can be safely applied to the beam?</p>
<p>$\sigma_{UTS}=\frac{F_{fail}}{wh}$</p>
<p>$F_{fail}=\sigma_{UTS}wh$</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">N</span><span class="o">=</span><span class="mi">10000</span><span class="p">;</span>
<span class="n">r</span><span class="o">=</span><span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">rand</span><span class="p">(</span><span class="n">N</span><span class="p">,</span><span class="mi">1</span><span class="p">);</span>
<span class="n">wmean</span><span class="o">=</span><span class="mi">1</span><span class="p">;</span> <span class="c1"># in mm</span>
<span class="n">wmin</span><span class="o">=</span><span class="n">wmean</span><span class="o">-</span><span class="n">wmean</span><span class="o">*</span><span class="mf">0.1</span><span class="p">;</span>
<span class="n">wmax</span><span class="o">=</span><span class="n">wmean</span><span class="o">+</span><span class="n">wmean</span><span class="o">*</span><span class="mf">0.1</span><span class="p">;</span>
<span class="n">hmean</span><span class="o">=</span><span class="mi">2</span><span class="p">;</span> <span class="c1"># in mm</span>
<span class="n">hmin</span><span class="o">=</span><span class="n">hmean</span><span class="o">-</span><span class="n">hmean</span><span class="o">*</span><span class="mf">0.1</span><span class="p">;</span>
<span class="n">hmax</span><span class="o">=</span><span class="n">hmean</span><span class="o">+</span><span class="n">hmean</span><span class="o">*</span><span class="mf">0.1</span><span class="p">;</span>
<span class="n">wrand</span><span class="o">=</span><span class="n">wmin</span><span class="o">+</span><span class="p">(</span><span class="n">wmax</span><span class="o">-</span><span class="n">wmin</span><span class="p">)</span><span class="o">*</span><span class="n">r</span><span class="p">;</span>
<span class="n">hrand</span><span class="o">=</span><span class="n">hmin</span><span class="o">+</span><span class="p">(</span><span class="n">hmax</span><span class="o">-</span><span class="n">hmin</span><span class="p">)</span><span class="o">*</span><span class="n">r</span><span class="p">;</span>
<span class="n">uts</span><span class="o">=</span><span class="mi">940</span><span class="p">;</span> <span class="c1"># in N/mm^2=MPa</span>
<span class="n">Ffail</span><span class="o">=</span><span class="n">uts</span><span class="o">*</span><span class="n">wrand</span><span class="o">*</span><span class="n">hrand</span><span class="o">*</span><span class="mf">1e-3</span><span class="p">;</span> <span class="c1"># force in kN</span>
<span class="n">plt</span><span class="o">.</span><span class="n">hist</span><span class="p">(</span><span class="n">Ffail</span><span class="p">,</span><span class="n">bins</span><span class="o">=</span><span class="mi">20</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="s1">&#39;failure load (kN)&#39;</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="s1">&#39;relative counts&#39;</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="s1">&#39;Failure load is </span><span class="si">{:.2f}</span><span class="s1">+/- </span><span class="si">{:.2f}</span><span class="s1"> kN&#39;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="n">Ffail</span><span class="p">),</span><span class="n">np</span><span class="o">.</span><span class="n">std</span><span class="p">(</span><span class="n">Ffail</span><span class="p">)));</span>
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<p>Normally, the tolerance is not a maximum/minimum specification, but instead a normal distribution that describes the standard deviation, or the 68% confidence interval.</p>
<p>So instead, we should generate normally distributed dimensions.</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">N</span><span class="o">=</span><span class="mi">10000</span><span class="p">;</span>
<span class="n">wmean</span><span class="o">=</span><span class="mi">1</span><span class="p">;</span> <span class="c1"># in mm</span>
<span class="n">wstd</span><span class="o">=</span><span class="n">wmean</span><span class="o">*</span><span class="mf">0.1</span><span class="p">;</span> <span class="c1"># standard deviation in mm</span>
<span class="n">hmean</span><span class="o">=</span><span class="mi">2</span><span class="p">;</span> <span class="c1"># in mm</span>
<span class="n">hstd</span><span class="o">=</span><span class="n">hmean</span><span class="o">*</span><span class="mf">0.1</span><span class="p">;</span> <span class="c1"># standard deviation in mm</span>
<span class="n">wrand</span><span class="o">=</span><span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">normal</span><span class="p">(</span><span class="n">wmean</span><span class="p">,</span><span class="n">wstd</span><span class="p">,</span><span class="n">size</span><span class="o">=</span><span class="n">N</span><span class="p">);</span>
<span class="n">hrand</span><span class="o">=</span><span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">normal</span><span class="p">(</span><span class="n">hmean</span><span class="p">,</span><span class="n">hstd</span><span class="p">,</span><span class="n">size</span><span class="o">=</span><span class="n">N</span><span class="p">);</span>
<span class="n">uts</span><span class="o">=</span><span class="mi">940</span><span class="p">;</span> <span class="c1"># in N/mm^2=MPa</span>
<span class="n">Ffail</span><span class="o">=</span><span class="n">uts</span><span class="o">*</span><span class="n">wrand</span><span class="o">*</span><span class="n">hrand</span><span class="o">*</span><span class="mf">1e-3</span><span class="p">;</span> <span class="c1"># force in kN</span>
<span class="n">plt</span><span class="o">.</span><span class="n">hist</span><span class="p">(</span><span class="n">Ffail</span><span class="p">,</span><span class="n">bins</span><span class="o">=</span><span class="mi">20</span><span class="p">)</span>
<span class="c1">#plt.xlabel(&#39;failure load (kN)&#39;)</span>
<span class="c1">#plt.ylabel(&#39;relative counts&#39;)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">&#39;Failure load is </span><span class="si">{:.2f}</span><span class="s1">+/- </span><span class="si">{:.2f}</span><span class="s1"> kN&#39;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="n">Ffail</span><span class="p">),</span><span class="n">np</span><span class="o">.</span><span class="n">std</span><span class="p">(</span><span class="n">Ffail</span><span class="p">)));</span>
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TH9RGBTSRvm51uRLjldG/cz0pU4t+5gmczMrEXd6EQ/LPdXzJd0paT31iwfTbooWu2NYGbm6SaVOEh38RoszszMeqDTCWQi6YJqOwCHkmoKV0oaW4kZATwRi15DZW5leXX6+GLiXkHSoZJmSJoxZ86c1t+BmZk1paPngUTE/pWn10i6iFSDmMDCJidR/7aqavC8pYt1RcSZpMtvM2bMGF/oy8ysS7p6HkikG6VcAmxemT0XGF69Q1o2vLK8Oq2taYyoWW5mZj0wFGei19Y4ZpJuy7kRr+wHGejTuL0SB6kv5MFB4syKjTz6kuJ1Z5+0WwdLYrbk6WoNJN/zdzfSrTcH/J50Z7R9a8L3A26LiFn5+TTSnejqxc0Frut4gc3MrGlN10Ak7Zn/fFee7iJpDjAnIqZKOpJ00/opwAOkW6MeCaxDJQlExCOSTgbGS3oauIl03+PtSfd2Hoh7QdKXSCcO3g9ckWMOBA6PiOdL3rCZmXVGK01Yk2qen56nU4GxwJ3Ah/JjddKN6K8DDoqIG2rWPZZ0L+fPkhLMnaR7KV9cDYqIH0oK0n2/jwLuBT4dEadjZmY91XQCiYjaTu/a5RcDFw8WU4l9iTQya0ITsWeQLmdiZmZ9xFfjNTOzIk4gZmZWxAnEzMyKOIGYmVkRJxAzMyviBGJmZkWG4lImZl3VzuVIzKycayBmZlbECcTMzIq4CcuskK/ka8s610DMzKyIE4iZmRVxAjEzsyJOIGZmVsQJxMzMijiBmJlZEScQMzMr4gRiZmZFnEDMzKyIE4iZmRVxAjEzsyJOIGZmVsQJxMzMijiBmJlZEScQMzMr4gRiZmZFnEDMzKyIE4iZmRVxAjEzsyJOIGZmVsQJxMzMijiBmJlZEScQMzMr4gRiZmZFnEDMzKyIE4iZmRVxAjEzsyJOIGZmVsQJxMzMijiBmJlZEScQMzMr4gRiZmZFhvW6AGYjj76k10UwswKugZiZWREnEDMzK+IEYmZmRZxAzMysiDvRzXqgnYEDs0/arYMlMSvnGoiZmRVxAjEzsyJOIGZmVsQJxMzMijiBmJlZEScQMzMr4gRiZmZFnEDMzKyIE4iZmRVpKoFIWl/SqZKmSZovKSSNrBO3kqRvSXpQ0rM5fps6cctJGi9ptqTnJN0iaY8Gr32IpL9KWiDpTkn/3uqbNDOzzmu2BjIK2Bt4HLhmkLizgUOALwPvBx4ELpO0WU3c8cBXgdOAXYDpwCRJu1aDJB0CnAH8GtgZmAScLumwJsttZmZd0uy1sK6OiLUBJB0M7FgbIOntwMeAAyPinDxvKjATOA4Yl+etBRwJnBQR386rT5E0CjgJuDTHDQNOAH4WEcdW4tYFjpd0VkS80OobNjOzzmiqBhIRLzcRNg54ATi/st6LwHnATpJWzLN3AlYAJtasPxHYVNKG+flWwJp14n4GvA7Yupmym5lZd3SyE300MCsi5tfMn0lKGKMqcQuAu+vEAWxSiQO4bTFxZmbWA51MICNIfSS15laWD0yfiIhoIo4626yNewVJh0qaIWnGnDlzmiq4mZm1rpMJREBtUhiYXxpHg9iGIuLMiBgTEWPWXHPNVlY1M7MWdDKBzKV+rWB4ZfnAdLik2oRRL4462xxRs9zMzHqgkwlkJrChpFVq5m8CPM/CPo+ZwIrARnXiAG6vxMHCvpBGcWZm1gOdTCCTgeWBvQZm5KG4HwEuj4gFefbvSQll35r19wNui4hZ+fk04NEGcXOB6zpYdjMza1HT90SXtGf+8115uoukOcCciJgaETdLOh84RdLywCzgMGBDKkkgIh6RdDIwXtLTwE2kJLM9sHsl7gVJXyKdOHg/cEWOORA4PCKeL3vLZmbWCU0nENJZ4FWn5+lUYGz++5Okk/8mAK8FbgF2joibatY9FpgHfBZYB7gT2DsiLq4GRcQPJQVwBHAUcC/w6Yg4HTMz66mmE0hE1HZ614t5Fvh8fgwW9xIpyUxoYptnkC5nYmZmfcRX4zUzsyJOIGZmVsQJxMzMijiBmJlZEScQMzMr4gRiZmZFnEDMzKyIE4iZmRVxAjEzsyJOIGZmVsQJxMzMijiBmJlZEScQMzMr4gRiZmZFnEDMzKyIE4iZmRVxAjEzsyJOIGZmVsQJxMzMijiBmJlZEScQMzMrMqzXBbClw8ijL+l1EcxsiLkGYmZmRZxAzMysiBOImZkVcQIxM7Mi7kQ3W8K0O2Bh9km7dagktqxzDcTMzIo4gZiZWREnEDMzK+IEYmZmRZxAzMysiBOImZkVcQIxM7MiTiBmZlbECcTMzIo4gZiZWREnEDMzK+IEYmZmRZxAzMysiBOImZkVcQIxM7MiTiBmZlbECcTMzIo4gZiZWREnEDMzK+IEYmZmRZxAzMysiBOImZkVcQIxM7MiTiBmZlbECcTMzIo4gZiZWREnEDMzK+IEYmZmRZxAzMysiBOImZkV6WgCkTRWUtR5PFETN1zSWZIelfSMpCskbVpneytJ+pakByU9K2mapG06WWYzMyszrEvb/Qzw58rzFwf+kCRgMrAhcDjwODAemCJps4i4r7Le2cBuwFHA34FPAZdJ2ioibu5S2c3MrAndSiB3RMT0BsvGAVsD20fEFABJ04BZwH+Rkg+S3g58DDgwIs7J86YCM4Hj8nbMzKxHupVABjMOeGAgeQBExJOSLgZ2JyeQHPcCcH4l7kVJ5wFHS1oxIhYMYbmXeiOPvqTXRTCzJUi3OtF/LuklSY9J+h9JG1SWjQZuq7POTGADSatW4mZFxPw6cSsAozpeajMza1qnayBPAt8BpgJPAe8AjgGmSXpHRDwCjABm11l3bp4OB+bluMcHiRtRrwCSDgUOBdhggw3qhZgt09qpac4+abcOlsSWdB1NIBHxF+AvlVlTJV0N3EBqmvoiICDqrK46z5uJqy3DmcCZAGPGjKm3vpmZdUDXzwOJiJuAu4DN86y51K89DM/Tx5uMm1tnmZmZDZGhOpGwWpuYSerfqLUJcG9EzKvEbShplTpxzwN3d6OgZmbWnK4nEEljgLcA1+dZk4H1JG1biVkN+EBeRiVueWCvStww4CPA5R6BZWbWWx3tA5H0c9L5HDcBT5A60ccD9wOn5rDJwDRgoqSjWHgioYBvDmwrIm6WdD5wiqTl83YPI52AuG8ny21mZq3r9Cis24B9SGeYrwI8BFwAfCUiHgWIiJclvR/4NnA6sBIpoWwXEf+s2d4ngROACcBrgVuAnXO/ipmZ9VCnR2GdCJzYRNxc4MD8GCzuWeDz+WFmZn3EV+M1M7MiTiBmZlbECcTMzIo4gZiZWREnEDMzK+IEYmZmRZxAzMysiBOImZkVcQIxM7MiTiBmZlbECcTMzIo4gZiZWREnEDMzK+IEYmZmRZxAzMysiBOImZkVcQIxM7MiTiBmZlbECcTMzIo4gZiZWREnEDMzK+IEYmZmRZxAzMysiBOImZkVGdbrAlhnjTz6kl4XwcyWEa6BmJlZEScQMzMr4gRiZmZF3AdiZk1rp49t9km7dbAk1g9cAzEzsyJOIGZmVsQJxMzMijiBmJlZEScQMzMr4gRiZmZFnEDMzKyIE4iZmRVxAjEzsyJOIGZmVsQJxMzMijiBmJlZEScQMzMr4qvxmtmQ8JV8lz6ugZiZWREnEDMzK+IEYmZmRZxAzMysiBOImZkVcQIxM7MiHsZrZn2vnSHA4GHA3eIE0mfa/aKYmQ0VN2GZmVkRJxAzMyviBGJmZkWcQMzMrIgTiJmZFfEoLDNb6vlKwN3R9zUQSW+Q9CtJT0p6StIFkjbodbnMzJZ1fV0DkbQKcCWwAPgEEMAEYIqkt0XEM70sXyM+l8PMlgV9nUCAQ4A3ARtHxN0Akm4F/gb8P+C7PSybmdkyrd8TyDhg+kDyAIiIWZKuA3bHCcTMusz9J431ewIZDVxUZ/5MYK9uvrCbocysXb36HRmqxNXvCWQE8Hid+XOB4fVWkHQocGh+Ok/SnU28zhrAo0UlXHZ5n7XO+6x13metW0PfaHufvbGZoH5PIJA6zmupYXDEmcCZrbyApBkRMabVgi3LvM9a533WOu+z1g3lPuv3YbyPk2ohtYZTv2ZiZmZDpN8TyExSP0itTYDbh7gsZmZW0e8JZDKwpaQ3DcyQNBJ4T17WKS01eRngfVbC+6x13metG7J9poh6XQz9QdKrgVuAZ4EvkvpDjgdeA7wtIub1sHhmZsu0vq6B5DPNtwfuAn4G/ByYBWzv5GFm1lt9XQMxM7P+1dc1kHZIWl/SqZKmSZovKXL/STPrLidpvKTZkp6TdIukPbpb4t5rc5/NzvG1jw92t9S9JWlPSb+W9A9Jz0q6U9KJkl7TxLorSfqWpAfzutMkbTMU5e6lNvdZvc9YSNpsKMreK5J2knSlpIckLZB0n6RfStqkiXWHSzpL0qOSnpF0haRNO1GupTaBAKOAvUnDfa9pcd3jga8CpwG7ANOBSZJ27WQB+1A7+wzgMmCrmsfUjpWuPx0JvAQcA+wM/AA4DPiDpMV9v84mXe/ty8D7gQeBy5b2H0Pa22cA57Lo5+yurpS0f4wAbgQ+DewIjCeNUJ0uqeFJf5JEGnC0M3A4sAewPOmCtOu3XaqIWCofwHKVvw8mdcCPbGK9tUhX//1azfw/Arf2+n314z7L8bOBib1+Dz3YZ2vWmffxvO+2H2S9t+eYT1bmDQPuBCb3+n314z7LcQFM6PV76IcHsHHeH0cMErN7jtmuMm910tU8vt9uGZbaGkhEvFy46k7ACsDEmvkTgU0lbdhWwfpYG/tsmRURc+rM/nOerjfIquOAF4DzK9t6ETgP2EnSih0rZJ9pY5/ZKz2Wpy8MEjMOeCAipgzMiIgngYtJyaUtS20CacNoUg3k7pr5M/N0sW2Oy7AP5L6TBZKmL+39H4PYNk/vGCRmNDArIubXzJ9JOoAZ1Y2C9bFm9tmAw/JnbH7uF3hvNwvWTyS9StIKkt4MnAE8RDroaGQ0cFud+TOBDSSt2k55nEAWNQJ4InJdr2JuZbkt6mJSG+tOwL7Ac8BvJO3X01INMUnrAccBV0TEjEFCB7tQ6MDyZUIL+wxSS8B/ADuQLpr6OuBKSWO7Wsj+cT3pAPcu4G2kJr9HBolf3Oes7kVpm7UkXExxqIkWL+BoEBGHV59L+g1p8MGJLNocuFTKR3MXAS8Cn1xcOP6ctbrPiIj9K0+vkXQR6Qh7ArB1VwrZX/YHViPdaO9I0sCDrSNidoP4rn7OXANZ1FxgeB69UDW8stwWIyJeAiYB60t6fa/L022SViKNdnkTsFNE3LeYVebS+EKhA8uXagX7bBER8TRwCbB5h4vXlyLijoi4PiJ+AfxfYFXg6EFWWdznrK2L0jqBLGomsCKwUc38gb4PX8SxeQNJeKk+W1XS8sCvgS2AXSPif5tYbSawoaRVauZvAjzPon1wS5XCfdZwcyzln7F6IuIJ0udksP6ywS5Ie2+0eUUPJ5BF/Z70Bd63Zv5+wG0RMWvoi7TkkTSMdNfIeyPioV6Xp1vyeQs/Jx0N7h4R05tcdTJpPP6/7qyZ99lHgMsjYkGny9ov2thn9ba1GrAbqW9gmSJpbeCtwD2DhE0G1pM0MEhhYJ99gA5ckHap7gORtGf+8115uoukOcCciJiaY14EfhIRBwFExCOSTgbGS3oauIn0pd6eDgx763cl+0zSPqR9cynwT2Bt4FN5G/sMYfF74b9JSeAE4BlJW1aW3RcR9+UTve4BjouI4wAi4mZJ5wOn5KPxWaST6TZk0YOXpU3RPpN0JOnchynAA6S75h0JrMNSvs9yn+JNwK3AU8BbgM+R+o6+k2O2JZ2vdmBE/DSvOhmYBkyUdBSpyWo8qdb2zbYL1uuTYbp8ok00eFxVE3NuzXqvIl399x+kEQ+3Anv2+v306z4DtgSuBB4mjUl/EriC1K7d8/fU5f01e5B99tUcM7L6vLLuysB3SUMxnyMdRY/t9Xvq131GOmq+jnSL2xdI50FMBrbo9Xsagn32BdKZ6E8A80knnJ5B5URfYGzeZwfUrDsC+DGpP2Q+Kcm8vRPl8sUUzcysiPtAzMysiBOImZkVcQIxM7MiTiBmZlbECcTMzIo4gZiZWREnEDMzK+IEYmZmRf4/DY7hmW9RGasAAAAASUVORK5CYII=
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<p>In this propagation of uncertainty, the final value of failure load seems to be independent of wheher the distribution is uniformly random or normally distributed. In both cases, the failure load is $\approx 1.9 \pm 0.25$ kN.</p>
<p>The difference is much more apparent if you look at the number of occurrences that failure will occur whether the dimensions are uniformly random or normally distributed.</p>
<p>For the uniformly random case, there are approximately 500 parts out of 10,000 that will fail at 1.9 kN.</p>
<p>For the normally distributed case, there are approximately 1500 parts out of 10,000 that will fail at 1.9 kN.</p>
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<h2 id="Where-does-a-normal-distribution-come-from?">Where does a normal distribution come from?<a class="anchor-link" href="#Where-does-a-normal-distribution-come-from?">&#182;</a></h2><p>"Everybody believes in the exponential law of errors: the experimenters, because they think it can be proved by mathematics; and the mathematicians, because they believe it has been established by observation" [5].</p>
<p>In the previous example, we drew dimensions from uniformly random distributions and normally distributed random distributions. Why do we use the "normal" distribution to describe data with a mean and standard deviation? There are exact statistical methods to derive the normal distribution, but let's take a look at a Monte Carlo approach.</p>
<p>Let's say there are 10 different independent factors that could change the dimensions of the steel bar in question e.g. which tool was used, how old the blade is, the humidity, the temperature, and the list goes on.</p>
<p>Let's consider one dimension.
Each of these factors could change the dimensions of the part, let's use a uniform scale of -1/2-1/2.
If the effect is 0, the dimension is exactly as specified. If the effect is -1/2, the dimension is much smaller. Conversely, if the effect is 1/2 the dimension is much larger. Now, we use a Monte Carlo model to generate 10 effects on 10,000 parts as shown in the next block.</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">factors</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">rand</span><span class="p">(</span><span class="mi">10000</span><span class="p">,</span><span class="mi">10</span><span class="p">)</span><span class="o">-</span><span class="mi">1</span><span class="o">/</span><span class="mi">2</span> <span class="c1"># each row represents a part and each column is an effect (-1/2-1/2)</span>
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<p>Now, we have created 10,000 parts with 10 uniformly random effects between -1/2-1/2.</p>
<p>We sum the effects and look at the final part distribution. The x-axis is labeled "A.U." for arbitrary units, we are just assuming an effect of -1/2-1/2 for each of the 10 factors.</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">dims</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">factors</span><span class="p">,</span><span class="n">axis</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">hist</span><span class="p">(</span><span class="n">dims</span><span class="p">,</span><span class="mi">30</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="s1">&#39;effect A.U.&#39;</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="s1">&#39;number of parts&#39;</span><span class="p">)</span>
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<pre>Text(0,0.5,&#39;number of parts&#39;)</pre>
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<p>Now, depending upon which random numbers were generated, you should see what looks like a normal distribution.</p>
<p>Normal distributions come from the assumption that we have a large (or infinite) number of uncontrollable factors that can change our desired result. In our case, ideally each factor would have an effect of 0, because then it is exactly as specified, but the reality is that we can't control most factors. As engineers, we always have to consider the uncertainty in our models and measurements.</p>
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<h2 id="We-learned:">We learned:<a class="anchor-link" href="#We-learned:">&#182;</a></h2><ul>
<li>How to generate "random" numbers in Python$^+$</li>
<li>The definition of a Monte Carlo model</li>
<li>How to calculate $\pi$ with Monte Carlo</li>
<li>How to take the integral of a function with Monte Carlo</li>
<li>How to propagate uncertainty in a model with Monte Carlo</li>
<li><strong>Bonus</strong>: use Sympy to do calculus and algebra for us! <em>no need for Wolfram, sorry Stephen</em></li>
<li>How to generate a normal distribution using uniformly random numbers</li>
</ul>
<p>$^+$ Remember, the computer only generates pseudo-random numbers. For further information <strong>and</strong> truly random numbers check <a href="https://www.random.org/randomness/">www.random.org</a></p>
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<h1 id="References">References<a class="anchor-link" href="#References">&#182;</a></h1><ol>
<li><p><a href="https://onlinelibrary.wiley.com/doi/full/10.1002/wics.1314">Why the Monte Carlo method is so important today
Dirk P. Kroese, Tim Brereton <em>et al.</em> Wiley Interdisciplinary Reviews: Computational Statistics, 6, 6, 11 2014</a></p>
</li>
<li><p><a href="https://en.wikipedia.org/wiki/Monte_Carlo_integration">Wikipedia: Monte Carlo integration</a></p>
</li>
<li><p><a href="https://arxiv.org/abs/hep-ph/0006269">Weinzierl, S. (2000). "Introduction to Monte Carlo methods"</a></p>
</li>
<li><p>Meurer A, <em>et al.</em> (2017) SymPy: symbolic computing in Python. PeerJ Computer Science 3:e103 <a href="https://doi.org/10.7717/peerj-cs.103">https://doi.org/10.7717/peerj-cs.103</a></p>
</li>
<li><p>Whittaker, E. T. and Robinson, G. "Normal Frequency Distribution." Ch. 8 in The Calculus of Observations: A Treatise on Numerical Mathematics, 4th ed. New York: Dover, p. 179, 1967.</p>
</li>
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<h1 id="Problems">Problems<a class="anchor-link" href="#Problems">&#182;</a></h1><ol>
<li><p>Calculate the area of a unit circle using the Monte Carlo integration method that we devloped in Example 2. Calculate the area of a quarter of the circle, then multiply the final result by 4.</p>
<p><em>Hint: You have to create a function that describes the perimeter of the circle.</em></p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">fcircle</span> <span class="o">=</span> <span class="k">lambda</span> <span class="n">x</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">1</span><span class="o">-</span><span class="n">x</span><span class="o">**</span><span class="mi">2</span><span class="p">)</span>
<span class="n">I</span> <span class="o">=</span> <span class="n">montecarlo_integrate</span><span class="p">(</span><span class="n">fcircle</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span><span class="mi">10000</span><span class="p">)</span><span class="o">*</span><span class="mi">4</span>
<span class="nb">print</span><span class="p">(</span><span class="s1">&#39;area of the unit circle is ~ </span><span class="si">{}</span><span class="s1">&#39;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">I</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">linspace</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">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">fcircle</span><span class="p">(</span><span class="n">x</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="s1">&#39;Quarter-circle function plotted</span><span class="se">\n</span><span class="s1">4*Area =</span><span class="si">{}</span><span class="s1"> with N=</span><span class="si">{}</span><span class="s1">&#39;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">I</span><span class="p">,</span><span class="mi">10000</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="s1">&#39;x&#39;</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="s1">&#39;f(x)&#39;</span><span class="p">)</span>
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<pre>area of the unit circle is ~ 3.4047019106324234
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<pre>Text(0,0.5,&#39;f(x)&#39;)</pre>
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<li><p>100 steel rods are going to be used to support a 1000 kg structure. The
rods will buckle when the load in any rod exceeds the <a href="https://en.wikipedia.org/wiki/Euler%27s_critical_load">critical buckling
load</a></p>
<p>$P_{cr}=\frac{\pi^3 Er^4}{16L^2}$</p>
<p>where E=200e9 Pa, r=0.01 m +/-0.001 m, and L is the
length of the rods supporting the structure. Create a Monte
Carlo model <code>montecarlo_buckle</code> that predicts
the mean and standard deviation of the buckling load for 100
samples with normally distributed dimensions r and L.</p>
<div class="highlight"><pre><span></span><span class="n">mean_buckle_load</span><span class="p">,</span><span class="n">std_buckle_load</span><span class="o">=</span>\
<span class="n">montecarlo_buckle</span><span class="p">(</span><span class="n">E</span><span class="p">,</span><span class="n">r_mean</span><span class="p">,</span><span class="n">r_std</span><span class="p">,</span><span class="n">L</span><span class="p">,</span><span class="n">N</span><span class="o">=</span><span class="mi">100</span><span class="p">)</span>
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<p>a. What is the mean_buckle_load and std_buckle_load for L=5 m?</p>
<p>b. What length, L, should the beams be so that only 2.5% will
reach the critical buckling load?</p>
</li>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">montecarlo_buckle</span><span class="p">(</span><span class="n">E</span><span class="p">,</span><span class="n">r_mean</span><span class="p">,</span><span class="n">r_std</span><span class="p">,</span><span class="n">L</span><span class="p">,</span><span class="n">N</span><span class="o">=</span><span class="mi">100</span><span class="p">):</span>
<span class="sd">&#39;&#39;&#39;Generate N rods of length L with radii of r=r_mean+/-r_std</span>
<span class="sd"> then calculate the mean and std of the buckling loads in for the</span>
<span class="sd"> rod population holding a 1000-kg structure</span>
<span class="sd"> Arguments</span>
<span class="sd"> ---------</span>
<span class="sd"> E: Young&#39;s modulus [note: keep units consistent]</span>
<span class="sd"> r_mean: mean radius of the N rods holding the structure</span>
<span class="sd"> r_std: standard deviation of the N rods holding the structure</span>
<span class="sd"> L: length of the rods (or the height of the structure)</span>
<span class="sd"> N: number of rods holding the structure, default is N=100 rods</span>
<span class="sd"> Returns</span>
<span class="sd"> -------</span>
<span class="sd"> mean_buckle_load: mean buckling load of N rods under 1000*9.81/N-Newton load</span>
<span class="sd"> std_buckle_load: std dev buckling load of N rods under 1000*9.81/N-Newton load</span>
<span class="sd"> &#39;&#39;&#39;</span>
<span class="n">ri</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">normal</span><span class="p">(</span><span class="n">r_mean</span><span class="p">,</span><span class="n">r_std</span><span class="p">,</span><span class="n">size</span><span class="o">=</span><span class="p">(</span><span class="n">N</span><span class="p">))</span>
<span class="n">Pi</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">pi</span><span class="o">**</span><span class="mi">3</span><span class="o">*</span><span class="n">E</span><span class="o">*</span><span class="n">ri</span><span class="o">**</span><span class="mi">4</span><span class="o">/</span><span class="mi">16</span><span class="o">/</span><span class="n">L</span><span class="o">**</span><span class="mi">2</span>
<span class="n">mean_buckle_load</span><span class="o">=</span><span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="n">Pi</span><span class="p">)</span>
<span class="n">std_buckle_load</span><span class="o">=</span><span class="n">np</span><span class="o">.</span><span class="n">std</span><span class="p">(</span><span class="n">Pi</span><span class="p">)</span>
<span class="k">return</span> <span class="n">mean_buckle_load</span><span class="p">,</span><span class="n">std_buckle_load</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">mP</span><span class="p">,</span><span class="n">sP</span><span class="o">=</span><span class="n">montecarlo_buckle</span><span class="p">(</span><span class="mf">200e9</span><span class="p">,</span><span class="mf">0.01</span><span class="p">,</span><span class="mf">0.001</span><span class="p">,</span><span class="mi">5</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="s1">&#39;mean buckle load is </span><span class="si">{:.2f}</span><span class="s1"> N</span><span class="se">\n</span><span class="s1">std buckle load is </span><span class="si">{:.2f}</span><span class="s1"> N&#39;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">mP</span><span class="p">,</span><span class="n">sP</span><span class="p">))</span>
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<pre>mean buckle load is 161.71 N
std buckle load is 64.15 N
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">E</span><span class="o">=</span> <span class="mf">200e9</span>
<span class="n">r_mean</span><span class="o">=</span><span class="mf">0.01</span>
<span class="n">r_std</span><span class="o">=</span><span class="mf">0.001</span>
<span class="n">N</span><span class="o">=</span><span class="mi">100</span>
<span class="n">L</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">3</span><span class="p">,</span><span class="mi">5</span><span class="p">)</span>
<span class="n">fail_rate</span><span class="o">=</span><span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">(</span><span class="nb">len</span><span class="p">(</span><span class="n">L</span><span class="p">))</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="nb">len</span><span class="p">(</span><span class="n">L</span><span class="p">)):</span>
<span class="n">fj</span><span class="o">=</span><span class="mi">0</span>
<span class="k">for</span> <span class="n">j</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">100</span><span class="p">):</span>
<span class="n">rj</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">normal</span><span class="p">(</span><span class="n">r_mean</span><span class="p">,</span><span class="n">r_std</span><span class="p">,</span><span class="n">size</span><span class="o">=</span><span class="p">(</span><span class="n">N</span><span class="p">))</span>
<span class="n">Pj</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">pi</span><span class="o">**</span><span class="mi">3</span><span class="o">*</span><span class="n">E</span><span class="o">*</span><span class="n">rj</span><span class="o">**</span><span class="mi">4</span><span class="o">/</span><span class="mi">16</span><span class="o">/</span><span class="n">L</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="o">**</span><span class="mi">2</span>
<span class="n">fj</span> <span class="o">+=</span> <span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">Pj</span><span class="o">&lt;</span><span class="mi">1000</span><span class="o">*</span><span class="mf">9.81</span><span class="o">/</span><span class="mi">100</span><span class="p">)</span><span class="o">/</span><span class="nb">len</span><span class="p">(</span><span class="n">Pj</span><span class="p">)</span>
<span class="n">fail_rate</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="o">=</span><span class="n">fj</span><span class="o">/</span><span class="mi">100</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">np</span><span class="o">.</span><span class="n">where</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">logical_and</span><span class="p">(</span><span class="n">fail_rate</span><span class="o">&lt;</span><span class="mf">0.025</span><span class="p">,</span><span class="n">fail_rate</span><span class="o">&gt;</span><span class="mf">0.021</span><span class="p">))</span>
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<pre>(array([24]),)</pre>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">L</span><span class="p">,</span><span class="n">fail_rate</span><span class="o">*</span><span class="mi">100</span><span class="p">,</span><span class="n">label</span><span class="o">=</span><span class="s1">&#39;predicted failure of 100 beams&#39;</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">L</span><span class="p">,</span><span class="mf">2.5</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">ones</span><span class="p">(</span><span class="nb">len</span><span class="p">(</span><span class="n">L</span><span class="p">)),</span><span class="n">label</span><span class="o">=</span><span class="s1">&#39;desired failure level&#39;</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="s1">&#39;length of beams (m)&#39;</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="s1">&#39;average failure rate (%)&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">legend</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="s1">&#39;L =</span><span class="si">{:1.1f}</span><span class="s1"> m</span><span class="se">\n</span><span class="s1">Monte Carlo prediction of buckling</span><span class="se">\n</span><span class="s1">100 beams per trial average of 100 trials&#39;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">L</span><span class="p">[</span><span class="mi">24</span><span class="p">]))</span>
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<pre>Text(0.5,1,&#39;L =4.0 m\nMonte Carlo prediction of buckling\n100 beams per trial average of 100 trials&#39;)</pre>
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<li><p>Generate your own normal distribution using uniformly random numbers between -1/2 and 1/2.</p>
<p>a. What is the effect of changing the number of factors?</p>
<p>b. What is the effect of changing the number of samples?</p>
<p><em>Hint: for a-b try plotting histograms of the results.</em></p>
<p>c. How would you change the mean in your generated distribution?</p>
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<div class="prompt input_prompt">In&nbsp;[137]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">factors</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">rand</span><span class="p">(</span><span class="mi">10000</span><span class="p">,</span><span class="mi">10</span><span class="p">)</span><span class="o">-</span><span class="mi">1</span><span class="o">/</span><span class="mi">2</span> <span class="c1"># each row represents a part and each column is an effect (-1/2-1/2)</span>
<span class="n">dims</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">factors</span><span class="p">,</span><span class="n">axis</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">hist</span><span class="p">(</span><span class="n">dims</span><span class="p">,</span><span class="mi">30</span><span class="p">,</span><span class="n">label</span><span class="o">=</span><span class="s1">&#39;factors = 10&#39;</span><span class="p">)</span>
<span class="n">factors</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">rand</span><span class="p">(</span><span class="mi">10000</span><span class="p">,</span><span class="mi">4</span><span class="p">)</span><span class="o">-</span><span class="mi">1</span><span class="o">/</span><span class="mi">2</span> <span class="c1"># each row represents a part and each column is an effect (-1/2-1/2)</span>
<span class="n">dims</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">factors</span><span class="p">,</span><span class="n">axis</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">hist</span><span class="p">(</span><span class="n">dims</span><span class="p">,</span><span class="mi">30</span><span class="p">,</span><span class="n">label</span><span class="o">=</span><span class="s1">&#39;factors = 5&#39;</span><span class="p">)</span>
<span class="n">factors</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">rand</span><span class="p">(</span><span class="mi">10000</span><span class="p">,</span><span class="mi">2</span><span class="p">)</span><span class="o">-</span><span class="mi">1</span><span class="o">/</span><span class="mi">2</span> <span class="c1"># each row represents a part and each column is an effect (-1/2-1/2)</span>
<span class="n">dims</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">factors</span><span class="p">,</span><span class="n">axis</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">hist</span><span class="p">(</span><span class="n">dims</span><span class="p">,</span><span class="mi">30</span><span class="p">,</span><span class="n">label</span><span class="o">=</span><span class="s1">&#39;factors = 2&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">legend</span><span class="p">()</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">&#39;Number of samples =10,000</span><span class="se">\n</span><span class="s1">as factors increase, dist widens&#39;</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="s1">&#39;effect A.U.&#39;</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="s1">&#39;number of parts&#39;</span><span class="p">)</span>
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<pre>Text(0,0.5,&#39;number of parts&#39;)</pre>
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wwJ7+uF/zYobAuwpSTn7cWvilvueZ33me0H3gQ6hYkb1XUbzfVQGg8rycRGEm6980xgEe6COQf3ZblCRC5Q1c1B8Z8F+uAmu5uOu4Ca4NZeeRqXUUUyH3eh/wl3sc3ywgNrbFyC+zL9C/iPt++f4qYHv0REfqZBs72KyLm4WXfr4ZbPfRl3I2qLW9FyFu4iT8Ot+/E2YZY5FpGf475kZ+DWv9iGm7zwbuAyEemkqqFtRs299+AD3Poljb199QQW4m6wC3ATD9b3zqOXt60kXvDObwmuNH8t8LyI7FPV14LOqR7uRt8Cl7E8jrs5/AQ3o/Ff/ZyPt6/bgMdwN84FuC9+R9xElBfiPvuAc3E3k8DnkQ20BgYD3USkrap+5+1XcO97O9xEigtxP3qa4SZvnIi78QWmic/09v+Wd/51cAuNXSYil6rqyijex3xE5Dzc+1UNNw39Ftw18K53vn72cSvuff4S9zkdxP1w6hS0rxUUcT1GEIjXGfeeBd6/S4LCg2WEvC5SmqM6bxFJxH1WP8fNVD0dNzP5L4F/icivVfXVMIcq8rqN5nooNaWdq1XEB+7G0zBMeCfcFOFPBYXVxK3O92qY+In4nL2WyDPM1g23D9yKjQrcEBL+gRce7hdR46C/M4gwQzKuA8kX3nl1Ctn2tPe6sUFhaZz89TkmzP5exf1SSwmzrU5x3x9O/iL8D0G/6LzPSYHXw6RDgdFFvDdFnU9L4BjwHlAzKFxwN1QF+oRcI0lh9hOYmfueoLDzvLApYeLXABKC/v9HuM8alznuBz4u4fcg09v/r0LCZxOmpEGYkgxuRuNtQPWQuBL8nhR2PRaSvkq4m/57QWE/8faz3HsO/lw3AF+H7GMLISWZYpz3A174qJDwFG//u4Fqxbluo7keSutRqgc7HR/AR8EXpfdBKzCnhPsNm8kUEj+JkOntcSUDBf7p4/URv9S4X4JK+IyzHt6U90FhaV78b4AqYV7zKu7XVoGp10vy/gR9WTPCxN8M7A36vz4u09wAVCriWEWdz2Pe9nZhttXwjvOyj3MS3KqoK4LCAjeV+4t4bTJuvZfFEbb/1dvPT4r5fv/Qe/37Ybal4n5saUj4uNDPA5fJbCrqZljY9VjE6xbiMvyzvf9v8/YTuIZ/44XX9f5/NuT1W0K+z1GdNyczuvUR0hdIT8+gsGiuW1/XQ2k+rLosRkTkAlw7y89wF2iVoM15qxGq6gER+SdwnYj8AFf99Q6wRlVPxCgtfYHf4eqJa5O/q3qDoL/be8/LSnjIwBrtK0I3qOouEfkMaC0iZ6vq90Gb12lQ1V2QF3ELgq0XkRe8/b6rqvtKmM6AcIu7bcfdFALa4W7q/1LVXJ/7jXQ+gcy8l1cVGCqbkwuBASAiXYERuKq0OrhqyIDgz/ATXH37aBFpg6tKeQd3E9OgeO1x18FZEbr9nus9/9jbX7TO857fCd2gql+JyFe4KuGivIhbZ2i9t7DX28BKdSvGxsIK3MqVHYHXcJnV/1Q1U0QCVbzP4rOqjOjP+xzc+kRbI3wOgRVkf0zBpcT9XLd+r4dSY5lMDHhL0v4L94v0dVzV0SHcjWUA7tdOsL646qvrgIe8sD0i8jAwKYqbWri03Ak8iFsK+DXcRRhoC/kTrmovoKb3/E1xj+ep4T3virB9J65NoQauo0PAt+Eiq+qLInIctzro73HtScdFZBFuAbcSdXlV1f1hgo+TPzMuznsT9nxwpUgB7i3ktWcG/hCRX+Pq378H/on79RxYyngEQZ+hqh4XkS64zh6/An7hbfpaRCao6vSgNICrYunkJx1RCrxfkd6DXfjLZB7E/dIfivuO3APkeD82RqrXFlUCK7znDO/H3iW4zirgMrSMwPaQ+JFEe96Bz6G194ikwOfg57qN4nooNZbJxMZoXONaBw1pOBWRfqGRVfUgrvfQKBH5Ea7v/e24QZXZwMPFSYSIVMZ9Kb/B9RbaE7StHi6TCRYoGTSkZA54z/UibK8XEi8g4i8rVX0FeEVEauMaSK8FrsEtmXt+KfwqK857EylNB3BVVWeq6hEf+/kT7jpoq0FdZr1G3bsKHFR1NzDUazT/CXAZLjP6u4jsVtV5nHzv71fVe/yeUBQCN8C6EbZHujby8T7X6cB075rtBNyM+7GWhGscL4m1uLR2xrWVpXAyI1kBXC8iqd72bVp0l+VozzvwOcxR1Rv8J9s/n9dDqbER/7HRDFcvGprB1PO2RaSqn6vqNKCbF9SrBOlIxpUWVmrBRZZ+FiZ+YA32bmG2hQpU5Z0RZltwz7Z8RKQurui/KaSqzBdV/U5VF6rqtbjSYmvyVw/ES6BDRFcRKen35H3c+9a+qIieZsCnYW5w5+N6MIWlqrmq+pGqPoTLlOHk9bQKdz4X+U51dD7ynjuGbvBu2lF/Zqq6S1Vfwv0a3wh0935IQeHXY2H7zMVVH7XFVZtB/kwGoB/uml1B0aI9709xJdT2IhJV2qNVxPVQaiyTiY2vgCSvOzAAIpKA6zkU3DaDiKSISLsw+wj84skOs82vb73XtxWRvJuRiDTAdV3MR1XfxzW0Xi4i14ZuF5FGQf9mec+NQuPhumpuAnqLSOgiTxNwveae8XsSItJFRKqGhFXmZFVD3KbPCVDVncA8IJ0wpYeQ96YoT+BuilO9zyJ0X/WCrx3c9dTCy6ADcWrgxjKFvraJiPw4NJyQ68k7n5dxmebQMPupJCKdQsIGeFO3zCrqBFV1K+7mfaGI/Cpk85/xmRmISLcwN9/qwFm4ts1AVXJh12NRVnjp+T3wiaruAlDVL3A92+4MileoaM9bVY8DfwN+BEwIl9GIyE9FpHoU5xP8Wl/XQ2my6rLYeBxXJP2311h5HDeYsApusFVw3WsjYJWIfIRryNuB68nUG3cjKnAj8UtVc0Xkb7gvz4cisgR3Y+6J62Z5TpiX3YD7Mj0vIr/F/eI9G9eYfybu1zO4waI7gGtE5BDeWB5VneQd92ZcG9ByEXnJ294JuBhXKngwilOZAjQWN8HlFtwX9VJc0f+5wE2hFNyCa9h9QER64+rsE3DVLG1xDfJFUtWPReR23HXyuYgsxZ1XbVxDb0dce82n3ksex10Ha0TkFVwbTHdcNWhoG1FrYJ6IvIfrCfctrg3gKtxAvL8FxR2K+4X+hIgMxJWwDuJ+bV+Mq/JJDIof+BF63M954qp83wVeEpHg8SKNcL/4z4v4ypNeAg6KyLu4cWDVgR64zg4TgtorI16PPo7xtvec4h0vdNv13t8rfOwLoj/vsbiOJaNwP8zewWWajb3wH+HOtzjTIkVzPZSOsu7eVlEeuIGXH3of5E7cIMZ6hIz4xfUs+RPupr8DNx7kK1zj40+jOF7YLsy4m+BYTo7e/xLXVTShkNc0AqbivhxHcRfmCuDGkHgdcL/aDhK+/38bXPfjvd5+vsCVoEJHnacR0p06ZHs/3Jf/S+/93Iu7If6OkNHx0bw/oZ+Fn224jOAB3OwFR7y0vAf83u/5BMW7GDdYb4f3/uz09jUWSA2KJ8CtuJ5C2cDXuEznbAp2oW2M6431X+9zy8GVKmcD54ZJw5nAGO9aPeR9lhtxY2hCx3lM8c7r0iiuy/NxvRUP4RrwX8F1fCnw/hK+C/NQ3IDmrd65fIv7rvQLc6xCr8dC0ngGrs1NCRqf5G0b6IV/HeG1+d7/4py3F7+y9xm/h2unyfY+t/nAjcHXeTTXbbTXQ2k8bGVMY0xYIvI+gKpeWNZpMeWXVZcZYwrw2gTOx3W3N6bYrCRjjDEmbqx3mTHGmLixTMYYY0zcnPZtMsnJyZqWllbWyTDGmHLlgw8+2KOqKUXFO+0zmbS0NFavXl3WyTDGmHJFRLb6iWfVZcYYY+LGMhljjDFxY5mMMcaYuLFMxhhjTNxYJmOMMSZuLJMxxhgTN6d9F2Y/9u/fz549ezh69GhZJ8VUUGeccQZnn302SUlJVK1ategXGFNOWCZThJycHHbt2kXjxo2pVq0abgVcY2JHVTl27BgHDhzgq6++IjU11TIaU2FYdVkRdu/eTUpKCtWrV7cMxsSFiJCQkEBycjK1a9cmKyur6BcZU05YSaYIOTk51K9fv6yTYSqQj7bti7hNT8DmLdsZ8egatkzqUYqpMiY+rCRThOPHj1O5suXFppRUOoMzq9jX0lQcdjX7YNVkprTYtWYqGstkjDHGxI1lMsYYY+LGGhuKKW3UkjI9fkkahWfMmMEDDzzA1q1bqV69Ovv2RW6IjtbatWuZP38+w4YNIykpKWb7PRVs27aNyZMns3r1atatW0d2djabN28m3HpEOTk53HvvvTz33HPs27ePNm3aMHnyZC655JKYp8vvtWgdCUxZsJLMaeabb75h8ODBdOjQgeXLl/Pmm2/GdP9r165l/PjxFbIb7hdffMFLL71E7dq1+fnPf15o3N/+9rc8+eST3HfffSxevJgGDRpw+eWXs3bt2lJKrTGnBivJnGY2btzIiRMn6N+/Px07dizr5Phy5MiRU2Jw4iWXXMKuXbsAeOqpp1i2bFnYeOvWreP5559nxowZ3HTTTQB06tSJli1bMnbsWCY88UyppdmYsmYlmdPIgAEDyMjIAKBr166ICAMGDADghRdeoEuXLqSkpHDWWWdx/vnnM3v27AL7OH78OJMnTyY9PZ3ExERSUlK44oor+Oyzz5g1a1beTbVFixaICCLCli1bADhw4AC33XYbDRs2pGrVqpxzzjk8/PDDqGre/lesWIGI8OqrrzJo0CBSUlKoV68eAJ9//jm9e/embt26JCYmkpqaSt++fTl+/Hj83rQglSr5+7osXLiQKlWq0K9fv7ywypUrc8011/D6669z9MgRX/tJG7XE18OYU5mVZE4j9957LxdccAHDhg1j6tSptG3blpQUt0T3pk2b6NOnD6NGjaJSpUpkZmYycOBAsrOzGTJkSN4+rrnmGubPn8+IESO49NJLycnJITMzkx07dtCjRw/uueceJkyYwNy5c2ncuDEADRo0IDc3lx49erBmzRruu+8+WrVqxZIlSxg5ciS7d+9m4sSJ+dJ6++230717d5599llycnIA6NmzJ7Vq1WLatGkkJyezfft2li5dSm5ubqHnfeLEiXwZWSSxGg+1YcMGmjRpQvXq1fOFt2zZkqNHj/LVlk00P+fcmBzLmFOdZTKnkWbNmnHuue7mlp6ezkUXXZS3bcyYMXl/5+bmkpGRwY4dO5g2bVpeJrN8+XJeeeUVHn30UYYNG5YX/6qrrsp3DIA2bdrQvHnzvPDFixfz7rvvMnPmzLzSU7du3Th06BAPPfQQI0eOJDk5OS/+hRdeyFNPPZX3/549e9i4cSMLFiygV69eeeHXXXedr/PeurXo5cgjNeJHKysri9q1axcID3SEOLDvuxIfw5jywjIZA7i2mrFjx5KZmcnOnTvzSgfBbSHLli1DRBg0aFDU+8/MzKRSpUpce+21+cJvuOEGnn76aVauXMmVV16ZF967d+988erUqUPTpk0ZNWoUu3btIiMjgxYtWvg69qJFizjio4qqYcOGvvZXFFUNO6jST2nKmIrGMhnDwYMHueyyy6hevTqTJk2iWbNmJCQkMG3aNGbMmJEXb+/evSQlJVGtWrWoj5GVlRV2GvvAvHChvdEaNGiQ738R4Y033mDcuHGMHj2avXv30qRJE+68806GDh1a6LHT09NLtbosKSmJr776qkD4d9+5EkyNWgVLOcZUVJbJGFauXMnWrVt555138vU4C21QT05OJisri+zs7KgzmqSkJLKysjh69CgJCQl54Tt37gRcSSVYuJJA06ZNeeaZZ1BV1q1bx+OPP84tt9xCWloa3bt3j3js0q4ua9myJfPmzePw4cP52mU++eQTEhISSE1rWuJjGFNeWO8yw+HDhwGoUqVKXth3333HggUL8sXr1q0bqpqvrSRUoKSSnZ2dL7xTp07k5uYyd+7cfOFz5swhISEhX/tQUUSENm3aMGXKFADWr19faPxFixaxatWqIh+xqi7r1asXx44dy3eux48f58UXX6Rbt24knALdsY0pLVaSMXTo0IEaNWpw6623Mn78eA4dOsSECRNITk5m//79efE6d+7M1VdfzciRI/n666/p0qULx44dIzMzkx49epCRkUF6ejoAU6fn8oc4AAAgAElEQVROpX///lSpUoXzzjuP7t2707FjR4YMGcLu3btp2bIlS5cu5amnnmL06NH5Gv3D+eijjxg+fDj9+vWjefPmnDhxglmzZlG5cmW6dOlS6GtbtWpV8jfJ8/LLLwPwwQcfAPDaa6+RkpJCSkoKnTp1Alynh379+jFixAiOHTtGkyZNmDZtGps3b2bOnDkxS4sx5YFlMsVUkaboSElJYd68edxxxx306dOHhg0bMnz4cLKyshg/fny+uC+88AKTJ09m9uzZPPLII9SsWZP27dszcOBAAFq3bs24ceOYPn06Tz75JLm5uXnVUEuWLGHMmDFMnjyZvXv3kpaWxpQpUxgxYkSRaaxfvz6pqalMmTKFbdu2kZiYSKtWrVi8eDEXXHBBXN6XcPr27Zvv/1tuuQVwJbUVK1bkhc+cOZO7776be+65h3379tG6dWv++c9/0rZt20LXkzGmopHTvcdLu3btdPXq1RG3f/rpp3ndfo0pTKwyj11fbWLQwh0x2VewivTDyJQ9EflAVdsVFc/aZIwxxsSNZTLGGGPixjIZY4wxcWOZjDHGmLix3mXGnCaimbHZOgmYWLGSjDHGmLgp9UxGRH4mIstE5FsROSAia0Tk5pA4iSLyFxHZISLZIrJSRAqsWysilURktIhsEZEcEVknIleX3tkYY4wpTKlmMiJyHvAmUAUYBFwNrAKeFpHgWQ6f9raPBXoCO4DXRaRNyC7/DIwDHge6A+8Bc0XkF3E8DWOMMT6VdpvMNcAZwJWqetALe0NEWgM3AtO8v68DblbVmQAi8jawAbgP6OWF1QX+AExS1b96+3pLRJoDk4ClpXROxhhjIijt6rIE4BiQHRK+Lygtvbw4LwY2qupx4AXgchEJzC54ube/50L29RzQSkSaxDbpxhhjolXaJZlZwFDgMRG5HzgM9AW6Ar/x4rQENqvq4ZDXbsBlKs29v1sCR4AvwsQDSAc2xzj9J42rGbdd+zv+/qLjRDBjxgweeOABtm7dSvXq1dm3L3Zzaa1du5b58+czbNiwvJUgK4oVK1bQuXPnAuE1a9aM6XtoTEVSqpmMqq4XkQxgHnCLF3wMGKKqL3j/JwHh1qfNCtoeeN6nBSdfC41XgIgMBgYDpKamRnMK5d4333zD4MGDuf7665k5cyaJiYkx3f/atWsZP348N9xwQ4XLZAIee+wx2rdvn/d/rBY7M6YiKtVvh4i0AF7BlTaG4KrNfgn8TURyVHUOIEC4WTtDV7HyG68AVZ0OTAc3QabvE6gANm7cyIkTJ+jfv3++BcpOZUeOHCmwomZZOvfcc6Na/yaS8yoVLGh/lGu1vKZiKe02mYm4kktPVV2sqv9S1WHAS8CjIlIJVxIJ9xM4sGZtVtBzbSm4hGJoPOMZMGAAGRkZAHTt2hURYcCAAYCbwr9Lly6kpKRw1llncf755zN79uwC+zh+/DiTJ08mPT2dxMREUlJSuOKKK/jss8+YNWsWN910EwAtWrRARBARtmzZAsCBAwe47bbbaNiwIVWrVuWcc87h4Ycfzrc08ooVKxARXn31VQYNGkRKSgr16tUD4PPPP6d3797UrVuXxMREUlNT6du3b4EVPMuz8yptprHsZkvidfkexpRXpV3ObwWsU9VjIeHv43qU1cWVcnqLSPWQdpl04Cgn22A2AFWBZuRvl0n3nj+JcdrLvXvvvZcLLriAYcOGMXXqVNq2bUtKSgoAmzZtok+fPowaNYpKlSqRmZnJwIEDyc7OZsiQIXn7uOaaa5g/fz4jRozg0ksvJScnh8zMTHbs2EGPHj245557mDBhAnPnzqVx48YANGjQgNzcXHr06MGaNWu47777aNWqFUuWLGHkyJHs3r2biRMn5kvr7bffTvfu3Xn22WfJyckBoGfPntSqVYtp06aRnJzM9u3bWbp0Kbm5uYWe94kTJ/CzpIXfaq/rr7+ePXv2UKtWLS6//HImTZp02lW7GuNXaWcyO4E2IpKgqkeDwn8K5OBKHwuB8bgOAbMBRKQy0A9YpqpHvNf8E5fpXO/FD7gBWK+q8Wv0L6eaNWuWtzZOenp6viqfMWPG5P2dm5tLRkYGO3bsYNq0aXmZzPLly3nllVd49NFHGTZsWF78q666Kt8xwK0O2bx587zwxYsX8+677zJz5sy80lO3bt04dOgQDz30ECNHjsy3OuaFF16Yb5nnPXv2sHHjRhYsWECvXr3ywq+7ruhf+c2aNWPr1q1FxgssrhZJzZo1ueOOO+jUqRM1atTgww8/ZOLEiVx88cV8+OGHuH4pxphgpZ3JPA7MBRaJyBO4NplewLXAw17Gs1ZEXgQeEZEquB5iQ4EmuAwFAFX9VkQeBkaLyPfAGlxG1AXXzmOisHHjRsaOHUtmZiY7d+7MKx0Et4UsW7YMEWHQoEFR7z8zM5NKlSpx7bXX5gu/4YYbePrpp1m5ciVXXnllXnjv3r3zxatTpw5NmzZl1KhR7Nq1i4yMDFq0aOHr2IsWLeLIkSNFxmvYsGHY8MBiZGekNOHGEffkhXdp1poG55zP9Vd25Z4JD3LbXfeEfb0xp7NiZzIikoS78a8PKl0USlVf9kbj/xF4CkgEvgRuBf4eFPUm4H5gAlALWAdcoaprQnZ5N3AQGA7UB/4H/FpVFxX3vE5HBw8e5LLLLqN69epMmjSJZs2akZCQwLRp05gxY0ZevL1795KUlES1atWiPkZWVhZJSUkFGvDr16+ftz1YgwYN8v0vIrzxxhuMGzeO0aNHs3fvXpo0acKdd97J0KFDKUx6enpMq8uCnduqNT9s2pz16z6M+rXGnA58fatE5B7gTFUd7f1/CbAYOBPYLiJdVXWjn32p6mvAa0XEyQZGeo/C4p3AZUQT/BzbhLdy5Uq2bt3KO++8k6/HWWiDenJyMllZWWRnZ0ed0SQlJZGVlcXRo0dJSDhZrbRz507AlVSCFezPAU2bNuWZZ55BVVm3bh2PP/44t9xyC2lpaXTv3j3isWNVXRaJqoZNrzHGf++yG4BNQf8/iCtdXAXsws0hZsqpw4dd/4oqVarkhX333XcsWLAgX7xu3bqhqvnaSkIFSirZ2fkndejUqRO5ubnMnTs3X/icOXNISEiIqkuwiNCmTRumTJkCwPr16wuNv2jRIlatWlXkI1J1WWE2rPuQrZu+oNX5F0T9WmNOB37rBxoBGwFEJAVoD3RV1RUikgA8Fqf0mVLQoUMHatSowa233sr48eM5dOgQEyZMIDk5mf37T84s0LlzZ66++mpGjhzJ119/TZcuXTh27BiZmZn06NGDjIwM0tNd576pU6fSv39/qlSpwnnnnUf37t3p2LEjQ4YMYffu3bRs2ZKlS5fy1FNPMXr06HyN/uF89NFHDB8+nH79+tG8eXNOnDjBrFmzqFy5Ml26dCn0ta1atSr5mwSMvn0QjX7wQ37cqjVn16jJZ+s/YsbUh6lbvwHX3jQ4JseIRqSuzWk5z5dySoyJzG8mc4KTXWcuwfUE+7f3/24KGV1fYZVgWpdTTUpKCvPmzeOOO+6gT58+NGzYkOHDh5OVlcX48ePzxX3hhReYPHkys2fP5pFHHqFmzZq0b9+egQMHAtC6dWvGjRvH9OnTefLJJ8nNzc2rhlqyZAljxoxh8uTJ7N27l7S0NKZMmcKIESOKTGP9+vVJTU1lypQpbNu2jcTERFq1asXixYu54ILSKUU0P+dcXlvwCv+YNZ2c7GzqpNSla/crGTpyFLWT6hT62nADL405HYifBlER+Teugf4W3MSVoqq/8LZdD0xU1R/GM6Hx0q5dO129enXE7Z9++mlet19zegr0LiuJaDKZT7d+y7mv/zpfWLjSSTxLMrYypimKiHygqu2Kiue3JHMfsADXhfgYbgbkgF/gug8bY4wx+fjKZFT1dRE5F2gLrFXVL4M2ZwJr45E4Y4wx5Zuv3mUiciNwQFVfCclgwA2uPCfmKTPGGFPu+a0umwlcDOwNs62Jt/2ZWCXKGJOfTZJpyiu/42QKG2l2JlBxpsE1xhgTMxFLMiLSBtcGE3CliPwkJFo14Bq8MTTGGGNMsMKqy34J/Mn7W3HzhIWzF/htLBNljDGmYigsk3kEmIWrKtsE9KZgL7IjwK4wSyAbY8qxtFFLfMWz8TSmKBEzGVXdD+z3po0ZCWxS1aJnGTTGGGM8RTb8e2u8PMDJZY2NMcYYX/x2Yf4UaIobeGmAVrNjM+licX3c/+Niv3bGjBk88MADbN26lerVq7NvX8mnTQlYu3Yt8+fPZ9iwYSQlVawp7d5YsoDXFrzCJx99SNaePdRv1Jiu3Xsy8LaRnHnW2WWdPGNOSX67MI8F7hWRsr2zmhL75ptvGDx4MB06dGD58uW8+eabMd3/2rVrGT9+fIFFyCqC2X9/nDPOOIPb/3gvTzz7Mr/+zc3MfXYGv7vuV3kriRpj8vNbkvkjcBbwoYhsAXbgepwFqKp2inHaTBxs3LiREydO0L9//3wLlJ3Kjhw5UmBFzbLw2Mx/kFTn5JIE7S7+GTVr1eae3w9l1cp3+enPLinD1BlzavJbkjkBfAK8A3yNG3x5IuhhP+PKgQEDBpCRkQFA165dEREGDBgAuCn8u3TpQkpKCmeddRbnn38+s2fPLrCP48ePM3nyZNLT00lMTCQlJYUrrriCzz77jFmzZnHTTTcB0KJFC0QEEWHLli0AHDhwgNtuu42GDRtStWpVzjnnHB5++OF8SyOvWLECEeHVV19l0KBBpKSkUK9ePQA+//xzevfuTd26dUlMTCQ1NZW+ffsWWMEzXoIzmICWrc8H4Nud35RKGowpb/xOkJkR53SYUnDvvfdywQUXMGzYMKZOnUrbtm1JSUkBYNOmTfTp04dRo0ZRqVIlMjMzGThwINnZ2QwZMiRvH9dccw3z589nxIgRXHrppeTk5JCZmcmOHTvo0aMH99xzDxMmTGDu3Lk0btwYgAYNGpCbm0uPHj1Ys2YN9913H61atWLJkiWMHDmS3bt3M3HixHxpvf322+nevTvPPvssOTk5APTs2ZNatWoxbdo0kpOT2b59O0uXLi2yqurEiRP46WVfubLfgv1Jq99zyyo1bW7T9xkTTvTfKlNuNWvWLG9tnPT09HxLHo8ZMybv79zcXDIyMtixYwfTpk3Ly2SWL1/OK6+8wqOPPsqwYcPy4l911VX5jgHQpk0bmjdvnhe+ePFi3n33XWbOnJlXeurWrRuHDh3ioYceYuTIkflWx7zwwgvzLfO8Z88eNm7cyIIFC+jVq1de+HXXFT2nV7Nmzdi6teje94HF1fzateMbnnjoAS76eUZeicYYk19UmYyI1AZaAImh21TVep6VYxs3bmTs2LFkZmayc+fOvNJBcFvIsmXLEBEGDRoU9f4zMzOpVKkS1157bb7wG264gaeffpqVK1dy5ZVX5oX37t07X7w6derQtGlTRo0axa5du8jIyKBFixa+jr1o0SKOHDlSIHzjru/z/b83tzoHfC5QdvjQQUb89noqn1GZ+x563NdrjDkd+cpkRCQRmAH8msiTZZ4Rq0SZ0nXw4EEuu+wyqlevzqRJk2jWrBkJCQlMmzaNGTNm5MXbu3cvSUlJVKtWLepjZGVlkZSUVKABv379+nnbgzVo0CDf/yLCG2+8wbhx4xg9ejR79+6lSZMm3HnnnQwdOrTQY6enp4etLqsUkqH4rS47kpPDsJuvY9tXW5gxdzH1GjTy9brSEm7G5lislmlMcfgtydwLZAD9gWeBW4EcYADQABgeh7SZUrJy5Uq2bt3KO++8k6/HWWiDenJyMllZWWRnZ0ed0SQlJZGVlcXRo0dJSEjIC9+5cyfgSirBRAr+lmnatCnPPPMMqsq6det4/PHHueWWW0hLS6N79+4Rj+23umzpf9bR6AephcY5duwYd/zuRtavXcP0f8yjxbkti9yvMaczv73LrsYtwfyC9/9/VXWm1215HXBFPBJnSsfhw4cBqFKlSl7Yd999x4IFC/LF69atG6qar60kVKCkkp2dnS+8U6dO5ObmMnfu3Hzhc+bMISEhIV/7UFFEhDZt2jBlyhQA1q9fX2j8RYsWsWrVqgKP5xcvz/eoW69+ofvJzc1lzLDB/PffmTz69BzOa9ved5qNOV35LcmkAhtU9YSIHMOtIRMwA7domZVmyqkOHTpQo0YNbr31VsaPH8+hQ4eYMGECycnJ7N+/Py9e586dufrqqxk5ciRff/01Xbp04dixY2RmZtKjRw8yMjJIT08HYOrUqfTv358qVapw3nnn0b17dzp27MiQIUPYvXs3LVu2ZOnSpTz11FOMHj06X6N/OB999BHDhw+nX79+NG/enBMnTjBr1iwqV65Mly5dCn1tq1bhxxAn+Gx/CZh49x9Ytng+g26/g2rVq/PRmlV52+o1aHjKVZsZcyrwm8nsxQ3GBDdOpjVuzAxAMm5dmdNKSaZ1OdWkpKQwb9487rjjDvr06UPDhg0ZPnw4WVlZjB8/Pl/cF154gcmTJzN79mweeeQRatasSfv27Rk4cCAArVu3Zty4cUyfPp0nn3yS3NzcvF5bS5YsYcyYMUyePJm9e/eSlpbGlClTGDFiRJFprF+/PqmpqUyZMoVt27aRmJhIq1atWLx4MRdccEFc3pdQ/17hZkd48v8e4sn/eyjftiG//yNDR44qlXQYU56In/EDIjIX+FBVJ4rIZGAw8CBuUOYdwAeqWi7n/G7Xrp2uXr064vZPP/00r9uvqVg+irIk48d5lTaXeB//2p7FiE9cxvvx5q9KvD+IX8O/TfV/+hKRD1S1XVHx/JZkJuOqzAAmAM1xbTRnAO8BhXfvMcYYc1ryO+J/NbDa+/t74GoRqQpUVdUDcUyfMcbTqsnJnm+xKuEYE2/FHvGvqkdwK2MaY4wxYfntwoyItBCR2SLyuYgc8p5niUjzol9tjDHmdOR3xH8GsBTIBpYAu4B6wJVAPxG5QlXfjlciy5qqhh0caEysqSpK0Z1xjCkv/JZkHgI+BH6oqjeq6p2qeiOQBqz1tvsmIr8QkUwROSgiB0RktYh0CdpeW0SeEpE9XqnpzXALpolIooj8RUR2iEi2iKwUkZgu6lGlSpUCAwuNiZfs47Dn6J6yToYxMeM3k0kHJqvqweBArxPAZMD33Boi8jtgAfAB0BvoC8wFqnvbBViIm0XgdtxsA1WAt0SkccjungYG4Vbu7IlbTO11EWnjNz1FqVu3Ltu3b+fw4cO+pos3JlqqyrETStbhXLbt2MXCnQvLOknGxIzfhv9tQEKEbQnAdj87EZE04BHgTlV9JGjT60F/9wI6Al1U9S3vdSuBzcBdwDAvrDVwHXCzqs70wt4GNuC6V/ciBmrUqAG4ZYuPHTsWi12aU8Su72JfQv1UdhfjVUrlYwdJ3PcFqf97ho/r2lyzpuKIZpzMeBFZqap5GYqINAL+BEyM+Mr8bsatovm3QuL0Ar4JZDAAqrpfRBYBv8TLZLx4x4AXg+IdF5EXgFEiUtXrAVdiNWrUyMtsTMXRfdSSmO8z3AzI0St8kk5jyhO/1WWdgLOBL0VkhYi8KCIrgC9x081kiMgz3qPgmr0ndQQ+A64RkS9F5LiIfCEitwbFaQmEm/FwA5AqImcFxdusqofDxEvADRg1xhhThvyWZDoCJ3BtHj/0Hnj/A/w8KG5hDRcNvcdfgDG4TKov8LiIVFbVR4EkYEuY1wYWHKkNHPTifVdIvKRIiRCRwbipcUhNtV+NxhgTL35H/DeJ0fEq4UpEA1T1VS9suddWM1pEHsMtihYuowrtQ+w3XgGqOh2YDm7uMl8pN+VCWhyqwIwxxVfsEf/FtBe3fPMbIeHLcL3JGuBKIuFKIbW950DpJYvwlde1g7YbY4jcVmQrZpp48z3iP0Y2RAgPlD5yvTjhukSnA18FdaPeADQRkeph4h0FvihhWo2Jq1ZNUvMexlRUpZ3JzPOeLw8JvxzYpqo7cWNkGolIp8BGEamBm10geADBQtz4mb5B8SoD/YBlsepZZowxpvhKu7psKfAW8HcRSQY2AX2AbsBNXpyFwErgORG5E1c9NhpX2nkwsCNVXSsiLwKPiEgV3DiaoUAT4PrSOR1zOotNd2VjKrZSzWRUVUXkKuABYDyu/eQz4HpVfd6LkysiPYG/Ak8AibhMp7Oqfh2yy5uA+3Fr3NQC1gFXqOqa0jgfY2IlUpWZVaWZ8i5idZmIrBGRlt7fY0WkYSwOqKoHVPVWVa2nqgmqel4ggwmKk6WqN6tqkqpWV9WuqrouzL6yVXWkqtZX1URV/amqrohFOo0xxpRcYW0yrXADLcGN6g+dN8wYY4wpVGHVZd8AV4nILlx7SH0RiVh2V1Vbqs8YY0w+hWUyf8e1ddyFG/Q4r5C4ADarnzHGmHwiZjKqOlFE3sCNO5mJa6zfVFoJM8ZEFtwh4OPNVolgTl2F9i5T1VXAKhEZADyrqp+VSqqMMcZUCH7nLusc74QYY4ypeHyP+BeRViLysojs9qbo/1ZEXgq3LLIxxhgDPksyItIeeBvIxo3I3wnUx0310kNELlHVD+KWSmOMMeWS3xH/D+AWEuuqqt8HAkXkbOBNb3u32CfPmIrFRvCb043fTOYi4DfBGQyAqn4vIpOBwlbDNMZUUH7X79kyqUecU2JOVX7bZIpa2MsW/jLGGFOA30zmv8AYr3osj4icCfwReC/WCTPGGFP++a0uGwOsALaKyGJgB67hvwdQDciIR+KMMcaUb37HybwvIhcBY3ELjCXhljdeDvxZVT+OXxKNMcaUV77Xk1HVj3ALjBljjDG+lPbyy8YYY04jpb38sjHlji2zbEzxWUnGGGNM3FhJxphyzqb9N6cyK8kYY4yJmyIzGRFJEJEsEelVGgkyxhhTcRRZXaaqR0XkOJBTCukxxpSicJ0a0nKeL4OUmIrKb3XZfGyMjDHGmCj5bfh/DXhMRF7GZTg7CJkUU1WXxzhtxhhjyjm/mcwr3vOvvEeAAuI9nxHDdBlTYdgaMuZ05jeT6RzXVBhjYsK6M5tTjd8JMt+Od0KMMcZUPFENxhSRZNwqmXWARaqaJSKJwFFVzY1HAo0xxpRfvjIZERHgQeB2IAHXBtMeN93/AuBd4M9xSqMx5Y61wxjj+O3CPBq4DbgP+CmusT9gEdAzxukyxhhTAfitLhsI3KeqD4hIaC+yL4BmsU2WMcaYisBvSaYR8F6EbUeBM4ubABH5p4ioiEwICa8tIk+JyB4ROSQib4pIqzCvTxSRv4jIDhHJFpGVInJJcdNjjDEmdvxmMtuBn0TY1hrYXJyDi8i13utDwwVYCFyBawe6GqgCvCUijUOiPw0Mwi0N3RM3UPR1EWlTnDQZY4yJHb/VZXOBsSKyhpMlGhWRHwF3ANOjPbCI1AIeBn4PhE6W1AvoCHRR1be8+CtxmdldwDAvrDVwHXCzqs70wt4GNuDaj2xSTxMVW6As8ntgc5qZ4vBbkhkHfAZkAhu9sLnAx97/k4px7AeBDar6jzDbegHfBDIYAFXdj+tk8MuQeMeAF4PiHQdeAC4XkarFSJcxFUKrJql5D2PKit/BmNkikoErNVyOa+zfi+u2PMe7sfsmIh2BGwlTVeZpCawPE74BuFFEzlLVg168zap6OEy8BKC597cxpgyljVriK96WST3inBJT2nwPxlTVE8Cz3qPYRKQK8Hfgr6r6vwjRkoAtYcKzvOfawEEv3neFxEuKkIbBwGCA1FT7lWeMMfES7Yj/5sCFuN5m24BVqvpFlMf8I1ANuL+wQxEyy3NQeHHi5aOq0/Hakdq1axfu9cYYY2LA74j/ROAJ4Dfkn235hIjMBm5V1SM+9pMK3I0bd1M1pM2kqtcZ4HtcSSRcKaS29xwovWQB4YoitYO2mwrAb3WLMebU4rfh/6/A9cCfcO0cZ3vP43AZz1987qcpkAg8h8soAg+AP3h/t8K1o7QM8/p04CuvPQYvXhMRqR4m3lFc25Exxpgy4jeTuQYYr6oTVXWTqh7ynu/HdRX22+9zLW7ZgNAHuIynMy5jWAg0EpFOgReKSA3gSm9bwELc+Jm+QfEqA/2AZX5KV8acDqynmSkrfttkqgLvR9j2X1xPriKp6j5gRWi4G3vJVlVd4f2/EFgJPCcid+JKOKNxbS0PBu1vrYi8CDzidSjYDAwFmuBKXsYYY8qQ30zmTaCb9xyqGxDTpZdVNVdEeuKq6Z7AVbGtBDqr6tch0W/CdSKYANQC1gFXqOqaWKbJmKKUl1KCLWxmSlPETEZEmgb9OwV4VkTOxA3C3AXUA34N/AK4oSSJUNUCvcFUNQu42XsU9tpsYKT3MMYYcwoprCTzBfm7BwuuKmpISBjA2+TvdWaMMcYUmsncVGqpMMYYUyFFzGRUdXZpJsQYY0zF47cLszHGGBM139PKiMgVuPEoP8D19gqmqtqp4KuMMcacznyVZETkLmApblGwM4ETIY/ceCXQGGNM+eW3JHMbbubk27zZmI0xxpgi+W2TqQHMtQzGGGNMNPyWZF4HLiLGI/uNKe/Kyyh/Y8pKNNVl80REgWWEWShMVTfFMmHGGGPKP7+ZjOLWeQnMERaOjfg3pgLbklhwsvW0nOfLICWmPPGbycwCOgAPA5/h1moxxhhjCuU3k8nA9SybFb+kGGOMqWj89i7bg5t52RhjjPHNb0nmMeAWEXldVW3gpTEmLtJGLfEVb8ukHnFOiYkVv5lMbeAnwCci8gYFe5epqv4ppikz5hRVkbot2wJmJt78ZjJ3B/39ozDbFbBMxpQb4XpKGWNiz1cmo6o2W7Mxxpio+Z6F2Zh48FsHb4wpn6yEYowxJm58lWREJBfX7hKRqtqIf2OMMfn4rS67j4KZTB2gG1AVNyOAMcYYk4/fhv9x4cJF5AxgEbA/hmkyxhhTQZSoTcZbX+YJYERskmOMMaYiiUXDf1UgKQb7McYYU8H4bfgPN8Q5ATcLwCRgdf8LAfIAAAzoSURBVCwTZYwxpmLw2/C/hfC9ywT4Erg1VgkyxpQNm2LGxIPfTOZmCmYyOcBWYJXXNmOMMcbk47d32aw4p8MYY0wFZCP+jTHGxI3vuctEpD9wLZAKJIZsVlVtFsuEGWNOfZFms07Leb6UU2JOVX57l90LjAfWA2uBI8U5mIj0wWVU7YC6wFfAq8BEVf0+KF5t4C/AVUA1YCXwe1X9OGR/icCfgRuAWl7a/qiqmcVJnzGRVKQ1ZIwpTX5LMr8FHlXV35fweH/AZSxjgG3A+cA4oLOIdFDVXBERYCHQBLgdt0DaaOAtEWmjqtuC9vc00AO4E9iE6+X2uohcrKprS5hWY4wxJeQ3k6mDmz6mpK5U1d1B/78tIlnAbCADWA70AjoCXVT1LQARWQlsBu4ChnlhrYHrgJtVdaYX9jawATfXWq8YpNdUAMVdoMxKL8aUnN+G/7eB1iU9WEgGE7DKe27kPfcCvglkMN7r9uMyuV8Gva4XcAx4MSjeceAF4HIRqVrS9BpjjCkZv5nMCOAmEblRRJJFpFLoowRp6OQ9f+o9t8S1/YTaAKSKyFlB8Tar6uEw8RKA5iVIkzHGmBjwW132ufc8M8J2jWJfeUSkEa5q601VDUxNk4SbYSBUlvdcGzjoxfuukHgR51MTkcHAYIDUVKsSMcaYeCnJejIl4pVIFgDHgZuCN0U4loT530+8AlR1OjAdoF27djE9L2OMMSeVaD2Z4vK6Hi8EmgKdQnqMZRG+FFLbe/4uKF64YkjtoO3GmAoobdQSX/G2TOoR55SYokRdxVVSIlIFeAW4ELg0dOwLrk2lW5iXpgNfqerBoHi9RaR6SLtMOnAU+CK2KTfR8HsTMMZUbKWayXgdBOYAXYEeqvpemGgLcZ0MOqnq297ragBXAs+HxBsP9MV1gUZEKgP9gGWqWqwBo6b8Km5XZWNM/JR2SWYqLlO4HzgkIhcFbdvmVZstxI3wf05E7uTkYEwBHgxEVtW1IvIi8IhXOtoMDMUN4ry+NE7GGGNM4Up7gszu3vPduIwk+DEQQFVzgZ7AG7ilnecBJ4DOqvp1yP5uwvV4mwAsAX4AXKGqa+J7GsYYY/wo1ZKMqqb5jJeFW8Pm5iLiZQMjvYcxJkZsATMTK6Xe8G+MKV+Kk+GEax+zmZlPT7aejDHGmLixTMYYY0zcWCZjjDEmbiyTMcYYEzfW8G9MEFtDxpjYskzGnPYsYzEmfqy6zBhjTNxYJmOMMSZuLJMxxhgTN9YmY6JiU/if3my6GRMty2RMuWTT+pc/ZTHVjC1uVvasuswYY0zcWCZjjDEmbiyTMcYYEzeWyRhjjIkby2SMMcbEjWUyxhhj4sYyGWOMMXFj42SMMWUm0nin0l6qOZpBxjamJjqWyZjTks28bEzpsOoyY4wxcWMlGQPYnGQmejaPmfHDSjLGGGPi5v/bu/9gqco6juPvD1giRQFS40iOiP0Y08RMGdFRG7CmGR0ItWYs42qT5jQ0UZlFkRGCjkNaZqXjlGLFTFOhpdUEEiL+ojAQEozKBGTEEiQEZTDi2x/PubDs7L3cu3fPnrtnP6+ZO3t3z9nnfFn27nef5znn+zjJmJlZbjxcZv2eKy6btS73ZMzMLDdOMmZmlhsPl5lZv1PEAmeWDycZM+szn85sXXGSsX7DE/zWCrykc+84yZScL7I8wKVkrJmcjJJSTPxLOkbSLyXtkPSypHsk+RPFzKxgLd+TkTQYWALsATqAAGYDD0o6OSJeKTK+PJShd+KhMbP20PJJBrgCGA28KyL+ASBpDfB34NPAzQXGZmYN0l+WBWi0sg+rlSHJTASWdyYYgIh4VtKjwCScZArlHosVoYwJqVWTURmSzInAr2s8vhb4SJNjqakMw1tm/ZW/yBysvyWjMiSZ4cD2Go+/BAyr9QRJVwJXZnd3SVqfU2xlNQLY2pMdlXMgvfNU0QHUo8evdX/Rv/7Pq13Q3caWe637Qjf2uYlje7JTGZIMpMn+al2+1yPiDuCO/MIpN0lPRMRpRcfRDvxaN49f63yU4RTm7aTeTLVh1O7hmJlZk5QhyawlzctUezewrsmxmJlZhTIkmfuAMySN7nxA0ijgrGybNZ6HGpvHr3Xz+LXOgSJqTWe0DklvAFYDu4EZpPmZ64AhwMkRsavA8MzM2lrL92SyK/rHA38DfgLMB54FxjvBmJkVq+V7MmZm1n+1fE/GiiPpnZJukbRG0i5JWyTdJ2lM0bG1Mhd8bQ5JF0taIGmjpN2S1ku6QdKQomMrE/dkrG6SppIuar0bWAkMBa4B3gucFRF/LjC8lpQVfF1NKvjaOcc4GxhMmmMsXcHXokhaDmwiVQzZTHrfzgT+CpwZEfuKi648nGSsbpJGANui4k0k6c3ABuD+iJhSVGytStLnSPX2Kgu+Hkcq+HpNRLgWX4NIektEvFj12BTSl6YJEbGkmMjKxcNlVreI2BpV31IiYgfpJIyRxUTV8moWfAU6C75ag1QnmMyK7Nbv3wZxkrGGkjQcOAl4uuhYWtSJ1C6ytpZ0gbHl69zs1u/fBnGSsUa7lVQ37jtFB9Kiel3w1RpD0khgFrA4Ip4oOp6ycJKx/SSdJyl68LO0i+dPBz4GTK0c7rFe61XBV+s7SW8knQCwF7i84HBKpSxVmK0xHgNO6MF+r1Y/IOkq4HpgRkTc2ejA2ogLvjaZpEGkElSjgXMjYnPBIZWKk4ztFxGvkk7f7BVJnwB+ANwUEXMaHlh7ccHXJpL0OmABMBY4LyL+UnBIpePhMusTSZOBu4AfRsTVRcdTAi742iSSBpDKUE0AJkXE8oJDKiVfJ2N1k3QOsIj0DXsqUHnx2p6IWFVIYC3MBV+bR9JtwFXAHOA3VZs3e9isMZxkrG6SZgLf6GLzxogY1bxoyiMrIfNt4AOkCf8/ANMiYkORcZWNpA10vYTwNyNiZvOiKS8nGTMzy43nZMzMLDdOMmZmlhsnGTMzy42TjJmZ5cZJxszMcuMkY2ZmuXGSMTsESV+VtEnSXklPZo8dlS01/VJWNHRag485TdKFdTxvRhbPPb14zmXZc97exfaQNLu3sZiBa5eZdUvSWNIV4XOBXwE7s03XktYeuQzYQloNtJGmAY8APU4Wmc7VSM+XdGREbGtsWGa9456MWfc6q1LfHhGPVRRQPAFYHRH3RsTyiHihoPj2k3Qm8A7gd8DrgUuKjcjMScbamKQx2ZDXdkm7JT0q6eyK7UuBedndZ7Jho3mSAng/cHbFGjujsuccJ2m+pBcl7ZH0ZFZEtNax75W0LTv2+mw9nspyJx+vaH9edRs1dAD/A64AnuNAr8asME4y1pYknUpaP2c46UP5ImAbsFjS+7LdPgPckP1+ITCOVKttHLAGWJX9Pg7YIukY4I/AGODzwERgJbBA0sSKY48FHgeOz/Y7H7gZeFu2y2TgBWBhRfvXHeLfMwj4KPBARDwP/BQ4XVJP1gcyy43nZKxdzQU2AeMj4jUASQuBp4CvAx+OiHWS/pntv6qiQOVGSTuBvZXl4bOCoSItfNU5F7IwSz6zOFCq/1ukhHZGtoYPwJLOdiJilaQ9wNZelJ+fBAwFfpzdvxuYTurdfKWHbZg1nHsy1nYkHUGatP8FsE/SYZIOIyWIxcA5dTb9IdJ8yI7ONrN2FwJjJL1J0mDS2jDzKxJMI3QAL5NOTiAi1pN6VZdm66aYFcJvPmtHw4GBpB7Lf6t+pgLD6vxgfitpHqS6zbnZ9iNJyygPABq2Vomko4APAr8FDpc0VNJQ0oqPI0mLcnVnb3Y7sEbbA6v2MesVD5dZO/oPaYG173NgeOkgEbGv1uOHsA14GLixi+3Pkz7I95E+/Bvl0qzdS6h9RlkH8EA3z/93dns0sL5q29HZ7b/6EqC1LycZazsR8Yqkh0kT9CvrTCi1/J40Sb82InZ3tZOkR0jDWLO62W8PcEQPjzsF2Ei6Zqfal4HJkoZExM4a2yENq+0mnfzwYNW2i7LbpT2MxewgTjLWrr4ALCNNzP+IdEHlCOBUYGBE1DNZfi3wJ2CZpO+RLtAcBpwEjI6IT2b7XQ08BDwu6SbS0Nlo4JSI+Gy2zzrSKdIXkM4021prZczsLLn3ADMjYmmN7YNIc0UXA3dJOhZ4BpgVEbMAImKHpDnAbEmHA/cDr5Hmrb4IzIuIpyvanALcCUyIiIfqeJ2sjXhOxtpSRKwETicNcX0XWATcQvrAXlZnm5uA04DVwPWkIarbSB/WlWePrSBN/j8H3Eo6WeBLHDxPM500dPVzYAUws4vDdgDBget5qi3KjtOR3RdpaO2gv/2ImANcDpwC/Ix0AsFE4GvAp6raHJC1oS6Oabafl182M7PcuCdjZma5cZIxM7PcOMmYmVlunGTMzCw3TjJmZpYbJxkzM8uNk4yZmeXGScbMzHLzfwBWCXHydrSDAAAAAElFTkSuQmCC
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<div class="prompt input_prompt">In&nbsp;[138]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">factors</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">rand</span><span class="p">(</span><span class="mi">2000</span><span class="p">,</span><span class="mi">10</span><span class="p">)</span><span class="o">-</span><span class="mi">1</span><span class="o">/</span><span class="mi">2</span> <span class="c1"># each row represents a part and each column is an effect (-1/2-1/2)</span>
<span class="n">dims</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">factors</span><span class="p">,</span><span class="n">axis</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">hist</span><span class="p">(</span><span class="n">dims</span><span class="p">,</span><span class="mi">30</span><span class="p">,</span><span class="n">label</span><span class="o">=</span><span class="s1">&#39;samples = 2000&#39;</span><span class="p">)</span>
<span class="n">factors</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">rand</span><span class="p">(</span><span class="mi">1000</span><span class="p">,</span><span class="mi">10</span><span class="p">)</span><span class="o">-</span><span class="mi">1</span><span class="o">/</span><span class="mi">2</span> <span class="c1"># each row represents a part and each column is an effect (-1/2-1/2)</span>
<span class="n">dims</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">factors</span><span class="p">,</span><span class="n">axis</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">hist</span><span class="p">(</span><span class="n">dims</span><span class="p">,</span><span class="mi">30</span><span class="p">,</span><span class="n">label</span><span class="o">=</span><span class="s1">&#39;samples = 1000&#39;</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="s1">&#39;Number of factors=10</span><span class="se">\n</span><span class="s1">as samples incr, bar heights go up, dist is constant&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">legend</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="s1">&#39;effect A.U.&#39;</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="s1">&#39;number of parts&#39;</span><span class="p">)</span>
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<pre>Text(0,0.5,&#39;number of parts&#39;)</pre>
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