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Brian Jackson edited We_will_consider_the_influence__.tex
almost 9 years ago
Commit id: 6068503c31b4d73f38878ce0c1819fa86e280fde
deletions | additions
diff --git a/We_will_consider_the_influence__.tex b/We_will_consider_the_influence__.tex
index 6f47b99..1cee47c 100644
--- a/We_will_consider_the_influence__.tex
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\begin{equation}
dp\left(P_{\rm obs}\right) = \dfrac{2 r}{r_{\rm max}^2} \frac{1}{2}\Gamma_{\rm act}^{2}\dfrac{P_{\rm act}}{P_{\rm obs}^2} \dfrac{ |dP_{\rm obs}| }{r} = P_{\rm act} \left( \dfrac{\Gamma_{\rm act}}{r_{\rm max}} \right)^2 \dfrac{ |dP_{\rm obs}| }{P_{\rm obs}^2}
\end{equation}
Figure \ref{fig:probabilty-density_Pobs-Pact} illustrates probability density contours $dp/dP_{\rm
obs}$. obs} \left( \dfrac{\Gamma_{\rm act}}{r_{\rm max}} \right)^{-2}$. Note that the trend for the contour lines is the important aspect of the plot, not the actual contour line values (which aren't intuitive anyway).