Aromatic aldehydes are efficiently condensed with 2'-hydroxyacetophenone by polymer-supported basic ionic liquid as an excellent heterogeneous catalyst utilizing the Claisen–Schmidt reaction. Microwave irradiation has been employed, providing flavanone in good yield and short reaction time.

Recent advances in our understanding of symmetry quantum many-body systems offer the possibility a generalized Landau paradigm that encompasses all equilibrium phases matter. This is brief and elementary review some these developments.

In the present work, a compact, fast, and yet accurate algorithm is developed to calculate numerical values of Ambartsumian-Chandrasekhar’s \(H\)-function for isotropic scattering its moments on basis double exponential (DE) formula Takahashi Mori (RIMS, Kyoto Univ., 9:721, 1974). The main improvement made in new method an elimination iterative procedure automatic adjustment step-size integrati...