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# Math expressions #
[MathJax](https://www.mathjax.org/demos/tex-samples/) examples.

## simple
$$ \alpha+\beta=\gamma $$

## The Lorenz Equations ##
$$\begin{aligned}
\dot{x} &amp; = \sigma(y-x) \\
\dot{y} &amp; = \rho x - y - xz \\
\dot{z} &amp; = -\beta z + xy
\end{aligned}$$

## 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](https://www.jimhester.com/)
Created: 2013 Apr 01 03:27:26 PM
Last Modified: 2014 Apr 17 04:53:48 PM