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<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<meta name="viewport" content="width=device-width, initial-scale=1.0" />
<meta http-equiv="X-UA-Compatible" content="IE=edge" />
<title>Braid Generator Documentation</title>
<link href="style.css" rel="stylesheet" type="text/css" />
<!-- Bootstrap CSS CDN -->
<link
rel="stylesheet"
href="https://stackpath.bootstrapcdn.com/bootstrap/4.1.0/css/bootstrap.min.css"
integrity="sha384-9gVQ4dYFwwWSjIDZnLEWnxCjeSWFphJiwGPXr1jddIhOegiu1FwO5qRGvFXOdJZ4"
crossorigin="anonymous"
/>
<!-- Our Custom CSS -->
<link rel="stylesheet" href="style.css" />
<!-- Scrollbar Custom CSS -->
<link
rel="stylesheet"
href="https://cdnjs.cloudflare.com/ajax/libs/malihu-custom-scrollbar-plugin/3.1.5/jquery.mCustomScrollbar.min.css"
/>
<!-- Font Awesome JS -->
<script
defer
src="https://use.fontawesome.com/releases/v5.0.13/js/solid.js"
integrity="sha384-tzzSw1/Vo+0N5UhStP3bvwWPq+uvzCMfrN1fEFe+xBmv1C/AtVX5K0uZtmcHitFZ"
crossorigin="anonymous"
></script>
<script
defer
src="https://use.fontawesome.com/releases/v5.0.13/js/fontawesome.js"
integrity="sha384-6OIrr52G08NpOFSZdxxz1xdNSndlD4vdcf/q2myIUVO0VsqaGHJsB0RaBE01VTOY"
crossorigin="anonymous"
></script>
</head>
<body>
<div class="wrapper">
<!-- Sidebar -->
<nav id="sidebar">
<div class="sidebar-header"><h3>Braid Generator</h3></div>
<ul class="list-unstyled components">
<!-- <p>Content</p> -->
<li class="active">
<a
href="#homeSubmenu"
data-toggle="collapse"
aria-expanded="false"
class="dropdown-toggle"
>Modules</a
>
<ul class="collapse list-unstyled" id="homeSubmenu">
<li><a href="index.html">Docs</a></li>
<li><a href="markovchain.html">MarkovChain</a></li>
<li><a href="braidword.html">BraidWord</a></li>
</ul>
</li>
<li><a href="about.html">About</a></li>
<li><a href="contact.html">Contact</a></li>
<li><a href="ack.html">Acknowledgements</a></li>
</ul>
</nav>
<!-- !Sidebar -->
<!-- Content -->
<div id="content">
<nav class="navbar navbar-expand-lg navbar-light bg-light">
<div class="container-fluid">
<button type="button" id="sidebarCollapse" class="btn btn-info">
<i class="fas fa-align-left"></i> <span></span>
</button>
<button
class="btn btn-dark d-inline-block d-lg-none ml-auto"
type="button"
data-toggle="collapse"
data-target="#navbarSupportedContent"
aria-controls="navbarSupportedContent"
aria-expanded="false"
aria-label="Toggle navigation"
>
<i class="fas fa-align-justify"></i>
</button>
<div class="collapse navbar-collapse" id="navbarSupportedContent">
<ul class="nav navbar-nav ml-auto">
<li class="nav-item active">
<!-- <a class="nav-link" href="#"> Github Repository</a> -->
<a
href="https://github.com/Algebra8/Knots"
class="btn btn-default btn-lg"
role="button"
>Github Repository</a
>
</li>
<!--
<li class="nav-item"><a class="nav-link" href="#">Page</a></li>
<li class="nav-item"><a class="nav-link" href="#">Page</a></li>
<li class="nav-item"><a class="nav-link" href="#">Page</a></li>
-->
</ul>
</div>
</div>
</nav>
<!--
<div class="category">
<h3 class="category-heading">Braid Generator Documentation</h3>
</div>
-->
<h1>Braid Generator Documentation</h1>
<p>
Braid Generator is a project from the Department of Mathematics in the
University of California, Davis. Braid Generator implements a Markov
chain algorithm to generate an ensemble of braid representatives from
a given braid representative of a fixed knot or link type. The project
was born when we attempted to use Machine Learning techniques to study
braids but found the existing data sets of braid representatives to be
too small. The hope is that this program will help others generate
data to help better understand braids, knot invariants, and the
topology of the space of knots.
</p>
<p>
For example code and how to use the braid generator, please refer to
the README located in the
<a href="https://github.com/Algebra8/Knots" class="text-info"
>BraidGenerator Github repository</a
>.
</p>
<div class="line"></div>
</div>
<!-- !Content -->
</div>
<!-- jQuery CDN - Slim version (=without AJAX) -->
<script
src="https://code.jquery.com/jquery-3.3.1.slim.min.js"
integrity="sha384-q8i/X+965DzO0rT7abK41JStQIAqVgRVzpbzo5smXKp4YfRvH+8abtTE1Pi6jizo"
crossorigin="anonymous"
></script>
<!-- Popper.JS -->
<script
src="https://cdnjs.cloudflare.com/ajax/libs/popper.js/1.14.0/umd/popper.min.js"
integrity="sha384-cs/chFZiN24E4KMATLdqdvsezGxaGsi4hLGOzlXwp5UZB1LY//20VyM2taTB4QvJ"
crossorigin="anonymous"
></script>
<!-- Bootstrap JS -->
<script
src="https://stackpath.bootstrapcdn.com/bootstrap/4.1.0/js/bootstrap.min.js"
integrity="sha384-uefMccjFJAIv6A+rW+L4AHf99KvxDjWSu1z9VI8SKNVmz4sk7buKt/6v9KI65qnm"
crossorigin="anonymous"
></script>
<!-- jQuery Custom Scroller CDN -->
<script src="https://cdnjs.cloudflare.com/ajax/libs/malihu-custom-scrollbar-plugin/3.1.5/jquery.mCustomScrollbar.concat.min.js"></script>
<!-- Local Vanilla JS -->
<script src="van.js"></script>
</body>
</html>