Erik Rosolowsky edited In_Table_ref_table_properties__.tex  almost 8 years ago

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In Table \ref{table:properties} we summarize the quantitative analysis of the binned mass distributions. In addition to reporting the maximum likelihood parameters of the functional forms, we also report the probability of favoring the truncated power law distribution over the pure power law form. In all cases, the truncated power law form is favored by the data over both the pure power law and the Schechter function, though the margin for this is not large in the outer bins. For the truncated power law, all bins find an optimal index bounded near the maximum value of $\beta \lesssim -1$. This indicates that the data do not provide a good constraint on the overall mass distribution as is evident from the lack of linear feature in the CCDF plots.We also used the {\sc powerlaw} package capabilities to test whether log-normal, exponential, and stretched exponential distributions were better representations of the data, and find nothing clearly superior to the truncated power-law.  The truncation mass for the truncated power law, the typical mass $\langle M \rangle_5$, and the index of the pure power law both decrease with galactcocentric radius, with clouds in the center of M83 having higher typical masses and a shallower mass distribution. While source confusion may affect nuclear sources, the clouds at $R_{g}>1~\mathrm{kpc}$ should be well resolved and the results will be comparable to other studies. Even in this region, we see good evidence for a characteristic mass for molecular clouds evolving across the face of the galaxy. This changing mass behavior is mirrored in the cutoff masses seen in the massive stellar clusters. Work on cluster mass distributions has conjectured a link between characteristic cluster masses the mass distributions of molecular clouds. Higher mass molecular clouds will provide a more complete sampling of the initial cluster mass function, reaching higher masses.