deletions | additions       diff --git a/subsection_The_Pressure_Signal_Full__.tex b/subsection_The_Pressure_Signal_Full__.tex  index 3ad9f2b..600e40f 100644  --- a/subsection_The_Pressure_Signal_Full__.tex  +++ b/subsection_The_Pressure_Signal_Full__.tex 
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\subsection*{The Pressure Signal Full-Width/Half-Max Recovery Bias and Distortion}  Now turning to $\Gamma$-values. A bias similar to that above favors recovery of devils with larger $\Gamma_{\rm act}$-values, and by analogy, we can cast this recovery bias in terms of relative areas, holding $P_{\rm act}$ constant:  \begin{equation}  f_{\rm \left( P_{\rm act} = =\  {\rm const.} \right)} \equiv \left( \dfrac{\Gamma_{\rm act}(P_{\rm act})}{\Gamma_{\rm act}(P_{\rm max})} act}}{\Gamma_{\rm max}}  \right)^2, \end{equation}  where we've suppressed the constant factor involving the pressures. 
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\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.