     {         \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)     