1515 < meta name ="viewport " content ="width=device-width, initial-scale=1.0, maximum-scale=1.0, user-scalable=no ">
1616
1717 < link rel ="stylesheet " href ="../css/reveal.min.css ">
18- < link rel ="stylesheet " href ="../css/theme/default .css " id ="theme ">
18+ < link rel ="stylesheet " href ="../css/theme/night .css " id ="theme ">
1919
2020 <!-- For syntax highlighting -->
2121 < link rel ="stylesheet " href ="../lib/css/zenburn.css ">
3232 < div class ="slides ">
3333
3434 < section >
35- < h1 > Reveal.js Math Plugin</ h1 >
35+ < h2 > reveal.js Math Plugin</ h2 >
36+ < p > A thin wrapper for MathJax</ p >
3637 </ section >
3738
3839 < section >
39- < h2 > The Lorenz Equations</ h2 >
40+ < h3 > The Lorenz Equations</ h3 >
4041 \[\begin{aligned}
4142 \dot{x} & = \sigma(y-x) \\
4243 \dot{y} & = \rho x - y - xz \\
@@ -45,13 +46,13 @@ <h2>The Lorenz Equations</h2>
4546 </ section >
4647
4748 < section >
48- < h2 > The Cauchy-Schwarz Inequality</ h2 >
49+ < h3 > The Cauchy-Schwarz Inequality</ h3 >
4950
5051 \[ \left( \sum_{k=1}^n a_k b_k \right)^2 \leq \left( \sum_{k=1}^n a_k^2 \right) \left( \sum_{k=1}^n b_k^2 \right) \]
5152 </ section >
5253
5354 < section >
54- < h2 > A Cross Product Formula</ h2 >
55+ < h3 > A Cross Product Formula</ h3 >
5556
5657 \[\mathbf{V}_1 \times \mathbf{V}_2 = \begin{vmatrix}
5758 \mathbf{i} & \mathbf{j} & \mathbf{k} \\
@@ -61,13 +62,36 @@ <h2>A Cross Product Formula</h2>
6162 </ section >
6263
6364 < section >
64- < h2 > An Identity of Ramanujan</ h2 >
65+ < h3 > The probability of getting \(k\) heads when flipping \(n\) coins is</ h3 >
66+
67+ \[P(E) = {n \choose k} p^k (1-p)^{ n-k} \]
68+ </ section >
69+
70+ < section >
71+ < h3 > An Identity of Ramanujan</ h3 >
6572
6673 \[ \frac{1}{\Bigl(\sqrt{\phi \sqrt{5}}-\phi\Bigr) e^{\frac25 \pi}} =
6774 1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}}
6875 {1+\frac{e^{-8\pi}} {1+\ldots} } } } \]
6976 </ section >
7077
78+ < section >
79+ < h3 > A Rogers-Ramanujan Identity</ h3 >
80+
81+ \[ 1 + \frac{q^2}{(1-q)}+\frac{q^6}{(1-q)(1-q^2)}+\cdots =
82+ \prod_{j=0}^{\infty}\frac{1}{(1-q^{5j+2})(1-q^{5j+3})}\]
83+ </ section >
84+
85+ < section >
86+ < h3 > Maxwell’s Equations</ h3 >
87+
88+ \[ \begin{aligned}
89+ \nabla \times \vec{\mathbf{B}} -\, \frac1c\, \frac{\partial\vec{\mathbf{E}}}{\partial t} & = \frac{4\pi}{c}\vec{\mathbf{j}} \\ \nabla \cdot \vec{\mathbf{E}} & = 4 \pi \rho \\
90+ \nabla \times \vec{\mathbf{E}}\, +\, \frac1c\, \frac{\partial\vec{\mathbf{B}}}{\partial t} & = \vec{\mathbf{0}} \\
91+ \nabla \cdot \vec{\mathbf{B}} & = 0 \end{aligned}
92+ \]
93+ </ section >
94+
7195 </ div >
7296
7397 </ div >
@@ -78,6 +102,8 @@ <h2>An Identity of Ramanujan</h2>
78102 < script >
79103
80104 Reveal . initialize ( {
105+ transition : 'linear' ,
106+
81107 dependencies : [
82108 { src : '../lib/js/classList.js' , condition : function ( ) { return ! document . body . classList ; } } ,
83109 { src : '../plugin/markdown/marked.js' , condition : function ( ) { return ! ! document . querySelector ( '[data-markdown]' ) ; } } ,
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