this is for holding javascript data
Brian Jackson edited Whether_or_not_we_detect__.tex
almost 9 years ago
Commit id: 519e813b2f30c768e954a71ba9ded30f297d2429
deletions | additions
diff --git a/Whether_or_not_we_detect__.tex b/Whether_or_not_we_detect__.tex
index b33e6b8..4b76a2c 100644
--- a/Whether_or_not_we_detect__.tex
+++ b/Whether_or_not_we_detect__.tex
...
Combining the recovery bias and distortion expression gives a probability density for a devil with a given $P_{\rm act}$ to be observed with a pressure between $P_{\rm obs}$ and $P_{\rm obs} + dP_{\rm obs}$:
\begin{equation}
f\ \dfrac{dp}{dP_{\rm obs}} = \left( \dfrac{P_{\rm min}}{P_{\rm max} - P_{\rm min}} \right) P_{\rm act}\ P_{\rm obs}^{-2}.
\label{eqn:Pobs-Pact_prob_density} \label{eqn:probability-density_Pobs-Pact}
\end{equation}Figure \ref{fig:probabilty-density_Pobs-Pact} illustrates this density.