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\begin{equation} {{r}_{pl,DW}}={{\left[ \frac{{{T}_{wc}}{{U}_{wc}}(\Omega _{c}^{3}+{{\Omega }_{t}}{{\prime }^{3}})}{{{T}_{wc}}{{U}_{wc}}\Psi _{c}^{3}-{{Y}_{wt}}{{U}_{wt}}\Psi _{t}^{3}} \right]}^{.55}} \end{equation}