Pamela Freeman edited subsection_Mass_distributions_We_binned__.tex  about 8 years ago

Commit id: 779113c8d11a758fe9e2085bcdb0ad33122ce2e6

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where $N(>M)$ is the number of clouds above a certain mass $M$, and $\alpha$ is the index. The latter expression represents the truncated power law case where $M_c$ is the maximum mass we are looking for. Using the ‘powerlaw’ package in Python, each bin was fitted by two distributions: an ordinary power law and a truncated power law (example in Figure 5). (\ref{fig:massdist}).  The distributions were constrained by a minimum mass of 3*10$^5$ M$_\odot$ above which there is a stable fit for the whole galaxy. ‘Powerlaw’ also returned the index α for the power law that best described the data.