deletions | additions       diff --git a/Theory.tex b/Theory.tex  index cef3bfb..364ae3a 100644  --- a/Theory.tex  +++ b/Theory.tex 
...
\section{Theory}  \center{Appleton's equation is given by}\[\eta^2=1-\frac{\omega_{pe}^2}{\omega^2\left((1+\frac{i\nu}{\omega})-\frac{\omega_{ce}^2\sin^2\theta}{2\omega^2\left(1-\frac{\omega_{pe}^2}{\omega^2}\right)}\pm\sqrt{\frac{(\omega_{ce}^2\sin^2\theta)^2}{4(1-\frac{\omega_{pe}^2}{\omega^2})}+\frac{\omega_{ce}^2cos^2\theta}{\omega^2}}\right)}\]for an infinite plasma[2]. This describes the index of refraction for a whistler wave where $\eta^2=\left(\frac{kc}{\omega}\right)^2$ $\eta^2=\left(\frac{kc}{\omega}\right)^2$.\omega_{pe} is the plasma frequency and \omega_{ce} is the electron cyclotron frequency.