Bosonized q-vertex operators related to the 4-dimensional evaluation modules of the quantum affine superalgebra Uq[ ̂ sl(2|1)] are constructed for arbitrary level k = α, where α 6= 0,−1 is a complex parameter appearing in the 4-dimensional evaluation representations. They are intertwiners among the level-α highest weight Fock-Wakimoto modules. Screen currents which commute with the action of Uq[...

This paper proposes the minimization of α-divergences for approximate inference in context deep Gaussian processes (DGPs). The proposed method can be considered as a generalization variational (VI) and expectation propagation (EP), two previously used methods DGPs. Both VI EP are based on Kullback-Leibler divergence. is scalable version power propagation, that introduces an extra parameter α sp...

background: since tumor necrosis factor‑α (tnf‑α) could be one of the risk factors at the development of diabetes complications; as well as serum leptin deficiency is related to increased susceptibility to infections in diabetic patients, they are potential indices from the preventive medicine viewpoint. this study was conducted to represent the effect of supplemental vitamin d3 on serum leptin...

Abstract Selective syntheses of coumarin and benzofuran derivatives were achieved via HClO4-mediated intermolecular annulation using phenols α-methoxy-β-ketoesters. Coumarins are formed under dehydrated conditions, whereas benzofurans in the presence water. In synthetic process benzofurans, α-methoxy-β-ketoesters converted into α-methoxyacetophenones, methoxy group is an important element annul...