--- output: knitrBootstrap::bootstrap_document: theme.chooser: TRUE highlight.chooser: TRUE --- # Math expressions # [MathJax](http://www.mathjax.org/demos/tex-samples) examples. ## simple $$ \alpha+\beta=\gamma $$ ## The Lorenz Equations ## $$\begin{aligned} \dot{x} & = \sigma(y-x) \\ \dot{y} & = \rho x - y - xz \\ \dot{z} & = -\beta z + xy \end{aligned}$$ ## Coins ## The probability of getting \(k\) heads when flipping \(n\) coins is $$ P(E) = {n \choose k} p^k (1-p)^{ n-k} $$ ## An Identity of Ramanujan ## $$ \frac{1}{\Bigl(\sqrt{\phi \sqrt{5}}-\phi\Bigr) e^{\frac25 \pi}} = 1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}} {1+\frac{e^{-8\pi}} {1+\ldots} } } } $$ Author: [Jim Hester](http://jimhester.com) Created: 2013 Apr 01 03:27:26 PM Last Modified: 2014 Apr 17 04:53:48 PM