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Brian Jackson edited figures/integration_path/caption.tex
over 8 years ago
Commit id: f1dd5c670007b61e4c1ac90d9a7b179815419146
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\label{fig:integration_path}
Example of an integration track for Equation
\ref{eqn:convert_actual_dist_to_observed_dist}. \ref{eqn:convert_from_actual_to_observed_density}. The shading illustrates an example $\rho(\Gamma_{\rm act}, P_{\rm act})$ distribution, discussed below -- brighter shades represent smaller densities. The blue track represents the locus of points passing through for given $\Gamma_{\rm obs}$- and $P_{\rm obs}$-values. For example, $\rho(\Gamma_{\rm obs}, P_{\rm obs})$ involves integrating from $b = 0$, where $(\Gamma_{\rm act}, P_{\rm act}) = (\Gamma_{\rm obs}, P_{\rm obs})$ up to a maximum $b$-value, at $(\Gamma_{\rm act}, P_{\rm act}) = (\Gamma_1, P_{\rm max})$.