deletions | additions       diff --git a/Whether_a_devil_with_a__.tex b/Whether_a_devil_with_a__.tex  index e2ba84c..a0c65c7 100644  --- a/Whether_a_devil_with_a__.tex  +++ b/Whether_a_devil_with_a__.tex 
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Combining the recovery bias and distortion expression gives a probability density for a devil with a given $P_{\rm act}$ to be observed with a pressure between $P_{\rm obs}$ and $P_{\rm obs} + dP_{\rm obs}$:   \begin{equation}\label{eqn:probability-density_Pobs-Pact}  f_{\left( \Gamma_{\rm act} = {\rm const.} \right)}\ \dfrac{dp}{dP_{\rm obs}} \left(\dfrac{\partial p}{\partial P_{\rm obs}}\right)_{\Gamma_{\rm act}}  = \left( \dfrac{P_{\rm min}}{P_{\rm max} - P_{\rm min}} \right) P_{\rm act}\ P_{\rm obs}^{-2}. \end{equation}Figure \ref{fig:probabilty-density_Pobs-Pact} illustrates this density, assuming $P_{\rm min} = 0.1$ and $P_{\rm max} = 10$ in arbitrary units.