         {             \Theta^{\pmb{\hat{h}'}}_{V,\mathrm{ \#}}(C)             \over              \Theta^{\pmb{\hat{h}}}_{V,\mathrm{ \#}}(C)         }         \cdot         {             \Theta^{\pmb{\hat{h}}}_{V,\mathrm{ \#}}(A)             \Theta^{\pmb{\hat{h}}}_{V,\mathrm{ \#}}(B)             \over              \Theta^{\pmb{\hat{h}'}}_{V,\mathrm{ \#}}(A)             \Theta^{\pmb{\hat{h}'}}_{V,\mathrm{ \#}}(B)     