deletions | additions       diff --git a/We_can_use_the_encounter__.tex b/We_can_use_the_encounter__.tex  index 70b2ed4..11c3da7 100644  --- a/We_can_use_the_encounter__.tex  +++ b/We_can_use_the_encounter__.tex 
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\label{eqn:Gamma_obs_limits}  1 \le \dfrac{\Gamma_{\rm obs}}{\Gamma_{\rm act}} \le \sqrt{P_{\rm act}/P_{\rm min}}.  \end{equation}  This range is actually quite narrow. For example, for $P_{\rm act} = 100\ P_{\rm min}$, we require $1 \le \Gamma_{\rm obs}/\Gamma_{\rm act} \lesssim 5$.  We can employ an analogous procedure involving Equation \ref{eqn:P_obs} to calculate the probability density for an encounter to give an observed profile depth between $P_{\rm obs}$ and $P_{\rm obs} + dP_{\rm obs}$:  \begin{equation}