deletions | additions       diff --git a/untitled.tex b/untitled.tex  index 967ccfb..6acfbcc 100644  --- a/untitled.tex  +++ b/untitled.tex 
...
\usepackage{mathtools}  \section{Overview}  This document presents a  parametric model to help design an aperture synthesis array. It describes the relationship of design parameters in section 2 with performance objectives in section 3. In particular, this document focus in providing a quick guide to understand the parameter and objectives selection for the reader to both assess completeness of the model, and accuracy of the mathematical relationships as well.  Section 4 provides the python code used to generate a table in the format required to perform a visual analysis of the performance of different arrays generated by the model. The python code is consistent with parameters and objectives selection, and the mathematical relationships between them.  \section{Design Variables}  This section aims to include all relevant design parameters that might influence the selected performance objectives.  \subsection{Antenna Aspects} 
...
\subsubsection{Bands Division}  \subsubsection{Calibration Widgets}  \section{Performance Objectives}  This section aims to include all the array performance objective objectives  that might be influenced by design choices. \subsection{Minimize Brightness Sensitivity Limit}  If we assume each aperture has the same System Equivalent Flux Density $SEFD$, observes the same bandwidth $\Delta\nu$, during the same correlator accumulation time $\tau_{acc}$, then the weak-source limit in the sensitivity of a synthesis image of a single polarization is  \begin{equation}\label{eq:sens} 
...
\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, and $\eta_a$ is the antenna efficiency with $\eta_a = \eta_{surface} \cdot \eta_{blockage} \cdot \eta_{spillover} \cdot \eta_{taper}$ (Crane & Napier 1989).  \subsection{Minimize Operations Costs}  The operations cost is a complex problem divided in the sub-problems in this section.  \subsubsection{Minimize Maintenance Costs}  \subsubsection{Minimize Calibration Costs}  \subsubsection{Data Processing Cost} 
...