deletions | additions       diff --git a/If_a_devil_with_a__.tex b/If_a_devil_with_a__.tex  index 1f0a6ca..8df6f92 100644  --- a/If_a_devil_with_a__.tex  +++ b/If_a_devil_with_a__.tex 
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\begin{equation}  db = \frac{1}{2}\Gamma_{\rm act}\left[ \dfrac{P_{\rm act}}{P_{\rm obs}} - 1 \right]^{-1/2} \left( \dfrac{P_{\rm act}}{P_{\rm obs}^2} \right) dP_{\rm obs} = \frac{1}{2}\left( \dfrac{\Gamma_{\rm act}}{2} \right)^2\dfrac{P_{\rm act}}{P_{\rm obs}^2} \dfrac{ dP_{\rm obs} }{b}.  \end{equation}  Then using the expression for the differential probability $dp$, Next,  we can express the probability density to measure a pressure signal between $P_{\rm obs}$ and $P_{\rm obs} + dP_{\rm obs}$ for a devil with a given $P_{\rm act}$ and $\Gamma_{\rm act}$: obs}$:  \begin{equation}  \dfrac{dp}{dP_{\rm obs}} = P_{\rm act} \left( \dfrac{\Gamma_{\rm act}}{2\ b_{\rm max}} \right)^2 P_{\rm obs}^{-2}.  \end{equation}