.nfs000000000a801fb600000021

\subsection{Part A}

\begin{align}
-\ln \mathcal{L} (\mat{p}) &= \sum_{j = 0}^{N_{halos}-1}\left{-\sum_{i = 0}^{N_{satellites}-1} \ln(\mu(\mat{x}_{i}|\mat{p})) - N_{satellites}\right}, \\
%-\ln \mathcal{L} (\mat{p}) &= -N_{all satellites} - \sum_{k = 0}^{N_{all satellites}-1} \ln(\mu(\mat{x}_{k}|\mat{p})).
\end{align}

\lstinputlisting{homework1problem3parta.py}