When the degree of intersections A∩B of events A,B is unknown arises a problem: how to evaluate the probability P(A ∩ B) and P(A ∩B) from P(A) and P(B). To treat related problems two models of valuation: interval and paired probabilities are proposed. It is shown that the valuation corresponding to the set operations ∩ (intersection), ∪ (union) and ∼ (complement) can be described by the truth f...

An efficient chiral squaramide-catalysed enantioselective Michael addition of pyrazolin-5-ones to 3-nitro-2H-chromenes for the synthesis of chiral heterocyclic systems containing both chroman and pyrazolone derivatives has been developed. This reaction afforded the desired products in high to excellent yields (up to 98%) with high enantioselectivities (up to 96%) and excellent diastereoselectiv...

Different acid chlorides (2a-d) reacted with anthranilic acid to produce 2-substituted-3, 1-benzoxazin-4-one (3a-d) which was used as starting material to synthesize some condensed and non-condensed heterocyclic compounds by reaction with nitrogen nucleophiles e.g., hydrazine hydrate, and formamide. Some of the newly synthesized analogues were chosen to evaluate their cytotoxic activity against...

Different acid chlorides (2a-d) reacted with anthranilic acid to produce 2-substituted-3, 1-benzoxazin-4-one (3a-d) which was used as starting material to synthesize some condensed and non-condensed heterocyclic compounds by reaction with nitrogen nucleophiles e.g., hydrazine hydrate, and formamide. Some of the newly synthesized analogues were chosen to evaluate their cytotoxic activity against...

Various (4-substituted) phenyl-3-β-[(N-benzenesulphonyl/tosyl)-4-(un)substituted anilino]propionylamido-1,3-thiazolidine-4-ones (3a-x) and 1-β-[(N-benzenesulphonyl/tosyl)-4-(un)substituted anilino]-propionylamido-3-chloro-4-(4-substituted)phenyl-azetidin-2-ones (4a-x) have been synthesised by the cyclocondensation of Schiff bases (2a-x) with thioglycolic acid and chloroacetyl chloride, respecti...