deletions | additions       diff --git a/subsection_The_Pressure_Signal_Full__.tex b/subsection_The_Pressure_Signal_Full__.tex  index d22c8fc..cecbbf9 100644  --- a/subsection_The_Pressure_Signal_Full__.tex  +++ b/subsection_The_Pressure_Signal_Full__.tex 
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\Gamma_{\rm obs} = \frac{1}{2}\sqrt{\Gamma_{\rm act}^2 + \left( 2b \right)^2}.  \end{equation}  Using this equation and the encounter geometry again, we find that the probability density for $\Gamma_{\rm obs}$ (modulo a term involving pressures) is   \begin{equation} \begin{equation}\label{eqn:dpdGamma_obs}  \dfrac{dp}{d\Gamma_{\rm obs}} = 8 \Gamma_{\rm act}^{-2}\ \Gamma_{\rm obs}.   \end{equation}  Again combining this expression with the recovery bias gives the probability density for a devil with a given $\Gamma_{\rm act}$-value to be observed with a $\Gamma_{\rm obs}$-value, and Figure \ref{fig:} illustrates the probability density.