deletions | additions       diff --git a/untitled.tex b/untitled.tex  index abad01e..96b5735 100644  --- a/untitled.tex  +++ b/untitled.tex 
...
\end{equation}  in units of Janskys per synthesized beam area.   with $\eta_s$ most important factor being correlator efficiency $\eta_c = \frac{\text{correlator sensitivity}}{\text{sesitivity of a perfect analog correlator having the same } \tau_{acc}}$ (see \cite{sensitivity}).  Thus the problem we would like to solve is:  \begin{equation*}  \begin{aligned}  & \underset{X}{\text{minimize}}  & & \mathrm{trace}(X) \\  & \text{subject to}  & & X_{ij} = M_{ij}, \; (i,j) \in \Omega, \\  &&& X \succeq 0.  \end{aligned}  \end{equation*}  \subsection{Minimize Operations Costs}  The operations cost is a complex problem divided in the sub-problems in this section.  \subsubsection{Maximize components reliability} 
...