deletions | additions       diff --git a/prior constraints.tex b/prior constraints.tex  index 28c092f..a2bf707 100644  --- a/prior constraints.tex  +++ b/prior constraints.tex 
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It is physically impossible for NSs to have extremal spins of $\chi = 1$ however, and it is clear that prior Prior  assumptions about spin can affect mass estimates. By discarding posterior samples above a given spin, we can effectively make stronger prior assumptions and to  see how mass estimates are affected. Figure \ref{fig:restricted_priors} shows the average posterior mass ratio mass-ratio  PDFs for maximum spins of $\chi < \{1, 0.7, 0.4, 0.2, 0.1, 0\}$. $\chi<1$ and $\chi<0$ correspond to the spinning and non-spinning analyses looked at thus far. $\chi<0.7$ is constistent with the NSs remaining entact based on proposed equations-of-state. $\chi<0.4$ is constistent with the spin of observed, isolated NSs to date. $\chi<0.2$ and $\chi<0.1$ are arbitrarely chosenpoints  to show the evolution of the PDF toward the non-spinning case. From these PDFs, it is clear that \emph{very} strong prior constraints have to be placed in order to have measurable effects on mass estimates. Most would One could  argue whether prior constraints on spin should be consistent with the observed NS population, or theoretical equations of state. EOS predictions.  The main argument for not making against using  the most conservative assumpions is that it will this could  limit mass constraints. However, these results show figure \ref{fig:restricted_priors} shows  that even allowing spins extending the prior  well above the  break-up will not limit does  have much a significant  impact on mass constraints if the NS population turns out to be slowly-spinning.