deletions | additions       diff --git a/untitled.tex b/untitled.tex  index 380b5e4..01a7353 100644  --- a/untitled.tex  +++ b/untitled.tex 
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\Delta I_m = {\frac{1}{\eta_s }}{\frac{SEFD}{\sqrt{2 \Delta \nu \tau_{acc}}}}   \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 $\cite{sensitivity}$). \cite{sensitivity}).  \subsubsection{Minimize SEFD}  \begin{equation}\label{eq:system_equivalent_flux_density}  SEFD = {\frac{T_{sys}}{\frac{\eta_a A}{2k_B}}}  \end{equation}  where $T_{sys}$ is the system temperature including contributions from receiver noise, feed losses, spillover, atmospheric emission, galactic background and cosmic background, $k_B = 1.380 \times 10^{-23}$ Joule $K^{-1}$ is the Boltzmann constant, $A$ is the antenna collecting area (thus we could also write $\pi \cdot D^2$), and $\eta_a$ is the antenna efficiency with $\eta_a = \eta_{\text{surface efficiency}} \cdot \eta_{\text{aperture blockage}} \cdot \eta_{\text{feed spillover efficiency}} \cdot \eta_{\text{illumination taper efficiency}}$ (see $\cite{antenna}$). \cite{antenna}).  \subsection{Minimize Operations Costs}  The operations cost is a complex problem divided in the sub-problems in this section.  \subsubsection{Minimize Maintenance Costs} 
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\subsubsection{Quantity of Construction Sites}  \subsubsection{Cost of Data Transmission Network Construction}  \subsubsection{Cost of Antennas Construction}  A commonly used rule of thumb for the cost of an antenna is that it is proportional to $D^{\alpha}$, where $\alpha \approx 2.7$ for values of $D$ from a few meters to tens of meters. (see $\cite{moran}$) \cite{moran})  \subsubsection{Cost of Antenna Electronics}  \subsubsection{Cost of Re-configuration Systems Construction}  \section{Array Performance Data Generation - Python Implementation} 
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\subsection{Engineering cost vs. Calibration cost}  Tricky because you can compensate antenna quality with software. So the equations must capture this trade off.