deletions | additions       diff --git a/Ultimately_we_are_interested_in__.tex b/Ultimately_we_are_interested_in__.tex  index d7ef3f8..09e0475 100644  --- a/Ultimately_we_are_interested_in__.tex  +++ b/Ultimately_we_are_interested_in__.tex 
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Ultimately, we are interested in converting the density of observed parameters  to the density of actual parameters.Fortunately,  Equation \ref{eqn:convert_from_actual_to_observed_density} provides a simple way of working from the observed to the actual distribution of physical parameters. Differentiating with respect to $b(\Gamma_{\rm obs}, P_{\rm obs})$ and then solving for $\rho(\Gamma_{\rm act}(b), P_{\rm act}(b))$ gives \begin{eqnarray}  \label{eqn:convert_from_observed_to_actual_density}