Christopher edited untitled.tex  about 9 years ago

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The data used for distant galaxies was presented in \cite{Tomczak_2014}. This paper contains a table of mass vs number density (number of galaxies per unit volume) for $0.2 < z < 3$ which we use to construct the stellar mass function (SMF) which shows the frequency of galaxies at different masses and redshifts. However, while we plotted this data and various subsets of it (only star forming or quiescent galaxies) we do not use the raw data. Instead, we use a fitting function - a paramaterised double Schechter function - from \cite{Leja_2015} which smooths the data and ensures the number density at each mass is monotonically increasing as $z \rightarrow 0$. With this done, graphs showing the mass over $0.2 < z < 3$ for various start masses were constructed.  The local group dwarf galaxy data was taken from \cite{Weisz_2014}. This paper determines the mass of a subset of the known dwarf galaxies between $0 < z < 2.6$. It does this by constructing a color magnitude diagram and determining, using know properties of stars, when star formation occurred. This isknown as  the star formation history (SFH). As with the distant galaxies, graphs showing the percentage of mass over time for various groups of the galaxies (grouped by galaxy shape or location) were plotted to better understand the data. A second distant galaxy data set was introduced later in the project. This data, taken from \cite{Whitaker_2014} was used to confirm that the comparison between the two main data sets were reasonable and conformed to other data. Again, a parameterization rather than raw data was used.