deletions | additions       diff --git a/untitled.tex b/untitled.tex  index 0fe3304..fcf8604 100644  --- a/untitled.tex  +++ b/untitled.tex 
...
\end{equation}  where $k_B = 1.380 x 10^{-23} Joule K^{-1}$ is the Boltzmann constant, $A$ is the antenna collecting area, and $\eta_a$ is the antenna efficiency.   \begin{equation}\label{eq:antenna_efficiency}  \eta_a = \eta_{surface} * \eta_{aperture blockage} \eta_{aperture_blockage}  * \eta_{feed spillover} \eta_{feed_spillover}  * \eta_{illumination taper} \eta_{illumination_taper}  \end{equation}  \subsubsection{Maximize System Efficiency}  \begin{equation}\label{eq:system_efficiency} 
...