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h2. Comparison of gtdiffrsp output with gtsrcmaps values
* The diffuse response quantities are proportional, up to an energy-dependent factor ({latex}$s(E)${latex}), to the probability densities of a given event for the corresponding source models.  If {latex}$\tilde{S}(\hat{p})${latex} is the spatial distribution of the diffuse component, then the diffuse response is
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{latex}
\newcommand{\phat}{{\hat{p}}}
\newcommand{\phatp}{{\hat{p}^\prime}}
\newcommand{\Ep}{{E^\prime}}
\begin{equation}
d_0 = \int d\phat \tilde{S}(\phat) P(\phatp; \Ep, \phat, t) A(\Ep, \phat, t)
\end{equation}
{latex}

!difrsp_comparison.png|thumbnail!