deletions | additions       diff --git a/As_it_travels_on_the__.tex b/As_it_travels_on_the__.tex  index 6f071c6..61eabe9 100644  --- a/As_it_travels_on_the__.tex  +++ b/As_it_travels_on_the__.tex 
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\begin{equation*}   A = \pi b_{\rm max}^2 + \upsilon \tau b_{\rm max} = \left( \Gamma_{\rm act}/2 \right) \sqrt{ \dfrac{P_{\rm act} - P_{\rm min}}{P_{\rm min}} } \left[ \pi \left( \Gamma_{\rm act}/2 \right) \sqrt{ \dfrac{P_{\rm act} - P_{\rm min}}{P_{\rm min}} } + \upsilon \tau \right].  \end{equation*}  The probability to recover a devil is proportional to this total area. Thus devils with deeper and wider pressure profiles are more likely to be recovered. As illustrated in Figure \ref{fig:relative_areas}, the second term dominates over the first term for all best but  the smallest, slowest dust devils, so, for simplicity, we'll neglect the first term, giving \begin{equation}  A \approx \left( \Gamma_{\rm act}/2 \right) \sqrt{ \dfrac{P_{\rm act} - P_{\rm min}}{P_{\rm min}} } \upsilon \tau.  \end{equation}