We study the norm derivatives in context of Birkhoff–James orthogonality real Banach spaces. As an application this, we obtain a complete characterization left-symmetric points and right-symmetric space terms derivatives. strong $$\ell _1^n$$ _\infty ^n$$ also relation defined by some newly introduced variation orthogonality. further orthogonality, approximate smoothness attainment bounded bili...

In this paper, we study the notions of relative H-freedom and H-independence for hypergraphs models weakly o-minimal theories. Hypergraphs a theory are derived objects that allow obtaining essential structural information both about theories themselves related semantic objects. Recall hypergraph is any pair sets (X, Y), where Y some subset Boolean P(X) set X. case, X called support elements fro...

Abstract We study in a quark model the contradiction between factorization and duality found in nonleptonic decays at next to leading order in 1/Nc, concentrating on quark exchange mechanism. The contradiction originates in the fact that the standard factorization assumption approximates the asymptotic final states by a non-orthogonal set of states, thus leading to an overcounting of the decay ...