|
@@ -15,7 +15,7 @@
|
|
|
<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/default.css" id="theme">
|
|
|
+ <link rel="stylesheet" href="../css/theme/night.css" id="theme">
|
|
|
|
|
|
|
|
|
<link rel="stylesheet" href="../lib/css/zenburn.css">
|
|
@@ -32,11 +32,12 @@
|
|
|
<div class="slides">
|
|
|
|
|
|
<section>
|
|
|
- <h1>Reveal.js Math Plugin</h1>
|
|
|
+ <h2>reveal.js Math Plugin</h2>
|
|
|
+ <p>A thin wrapper for MathJax</p>
|
|
|
</section>
|
|
|
|
|
|
<section>
|
|
|
- <h2>The Lorenz Equations</h2>
|
|
|
+ <h3>The Lorenz Equations</h3>
|
|
|
\[\begin{aligned}
|
|
|
\dot{x} & = \sigma(y-x) \\
|
|
|
\dot{y} & = \rho x - y - xz \\
|
|
@@ -45,13 +46,13 @@
|
|
|
</section>
|
|
|
|
|
|
<section>
|
|
|
- <h2>The Cauchy-Schwarz Inequality</h2>
|
|
|
+ <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>
|
|
|
- <h2>A Cross Product Formula</h2>
|
|
|
+ <h3>A Cross Product Formula</h3>
|
|
|
|
|
|
\[\mathbf{V}_1 \times \mathbf{V}_2 = \begin{vmatrix}
|
|
|
\mathbf{i} & \mathbf{j} & \mathbf{k} \\
|
|
@@ -61,13 +62,36 @@
|
|
|
</section>
|
|
|
|
|
|
<section>
|
|
|
- <h2>An Identity of Ramanujan</h2>
|
|
|
+ <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>
|
|
@@ -78,6 +102,8 @@
|
|
|
<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]' ); } },
|