this is for holding javascript data
Brian Jackson edited Consider_how_the_contours_behave__.tex
almost 9 years ago
Commit id: 3239353042d17a18a9e9ef0f39b9f59543c12ff9
deletions | additions
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\label{eqn:n_Pobs_from_Pact}
\end{equation}
The integral extends between $P_{\rm obs}$ and $P_{\rm max}$ since only devils with $P_{\rm act}$ in that range can contribute.
Consider, for example, a uniform distribution $n(P_{\rm act}) = k = {\rm const.}$, which give rise to $n(P_{\rm obs}) = \frac{1}{2} k\ \left( \dfrac{P_{\rm min}}{P_{\rm max} - P_{\rm min}} \right) \left[ \left( \dfrac{P_{\rm max}}{P_{\rm obs}} \right)^2 - 1\right] }$.
The figure below compares the two distributions.