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<!doctype html>
<html lang="en">
<head>
<meta charset="utf-8">
<title>reveal.js - The HTML Presentation Framework</title>
<meta name="description" content="A framework for easily creating beautiful presentations using HTML">
<meta name="author" content="Hakim El Hattab">
<meta name="apple-mobile-web-app-capable" content="yes" />
<meta name="apple-mobile-web-app-status-bar-style" content="black-translucent" />
<meta name="viewport" content="width=device-width, initial-scale=1.0, maximum-scale=1.0, user-scalable=no">
<link rel="stylesheet" href="../css/reveal.min.css">
<link rel="stylesheet" href="../css/theme/night.css" id="theme">
<!-- For syntax highlighting -->
<link rel="stylesheet" href="../lib/css/zenburn.css">
<!--[if lt IE 9]>
<script src="lib/js/html5shiv.js"></script>
<![endif]-->
</head>
<body>
<div class="reveal">
<div class="slides">
<section>
<h2>reveal.js Math Plugin</h2>
<p>A thin wrapper for MathJax</p>
</section>
<section>
<h3>The Lorenz Equations</h3>
\[\begin{aligned}
\dot{x} & = \sigma(y-x) \\
\dot{y} & = \rho x - y - xz \\
\dot{z} & = -\beta z + xy
\end{aligned} \]
</section>
<section>
<h3>The Cauchy-Schwarz Inequality</h3>
\[ \left( \sum_{k=1}^n a_k b_k \right)^2 \leq \left( \sum_{k=1}^n a_k^2 \right) \left( \sum_{k=1}^n b_k^2 \right) \]
</section>
<section>
<h3>A Cross Product Formula</h3>
\[\mathbf{V}_1 \times \mathbf{V}_2 = \begin{vmatrix}
\mathbf{i} & \mathbf{j} & \mathbf{k} \\
\frac{\partial X}{\partial u} & \frac{\partial Y}{\partial u} & 0 \\
\frac{\partial X}{\partial v} & \frac{\partial Y}{\partial v} & 0
\end{vmatrix} \]
</section>
<section>
<h3>The probability of getting \(k\) heads when flipping \(n\) coins is</h3>
\[P(E) = {n \choose k} p^k (1-p)^{ n-k} \]
</section>
<section>
<h3>An Identity of Ramanujan</h3>
\[ \frac{1}{\Bigl(\sqrt{\phi \sqrt{5}}-\phi\Bigr) e^{\frac25 \pi}} =
1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}}
{1+\frac{e^{-8\pi}} {1+\ldots} } } } \]
</section>
<section>
<h3>A Rogers-Ramanujan Identity</h3>
\[ 1 + \frac{q^2}{(1-q)}+\frac{q^6}{(1-q)(1-q^2)}+\cdots =
\prod_{j=0}^{\infty}\frac{1}{(1-q^{5j+2})(1-q^{5j+3})}\]
</section>
<section>
<h3>Maxwell’s Equations</h3>
\[ \begin{aligned}
\nabla \times \vec{\mathbf{B}} -\, \frac1c\, \frac{\partial\vec{\mathbf{E}}}{\partial t} & = \frac{4\pi}{c}\vec{\mathbf{j}} \\ \nabla \cdot \vec{\mathbf{E}} & = 4 \pi \rho \\
\nabla \times \vec{\mathbf{E}}\, +\, \frac1c\, \frac{\partial\vec{\mathbf{B}}}{\partial t} & = \vec{\mathbf{0}} \\
\nabla \cdot \vec{\mathbf{B}} & = 0 \end{aligned}
\]
</section>
</div>
</div>
<script src="../lib/js/head.min.js"></script>
<script src="../js/reveal.min.js"></script>
<script>
Reveal.initialize({
transition: 'linear',
dependencies: [
{ src: '../lib/js/classList.js', condition: function() { return !document.body.classList; } },
{ src: '../plugin/markdown/marked.js', condition: function() { return !!document.querySelector( '[data-markdown]' ); } },
{ src: '../plugin/markdown/markdown.js', condition: function() { return !!document.querySelector( '[data-markdown]' ); } },
{ src: '../plugin/highlight/highlight.js', async: true, callback: function() { hljs.initHighlightingOnLoad(); } },
{ src: '../plugin/math/math.js', async: true }
]
});
</script>
</body>
</html>
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