 $$\begin{aligned} &\varphi_{W}[g_{0:s},u] \nonumber \\ &{\mathrel{\overset{\makebox[0pt]{\mbox{\normalfont\tiny\sffamily def}}}{=}}}\frac{\displaystyle \int \!\! r(\x) u(\x) \left( \prod_{(i,l) \in T_{W}}{\!\!\!\! p_{d}^{i}(\x)\,h_{i}(\z^{i}_{l}|\x)}\right) \,      \left( \prod_{j:(j,*) \notin T_{W}}{\!\!\!\!\! \phi_{g_{j}(\x)}} \right) d\x}     {\displaystyle \prod_{(i,l) \in T_{W}}{c_{i}(\z^{i}_{l})}} \cdot