In the current research, polyvinylchloride based mixed matrix heterogeneous anion exchange membranes were prepared by a solution casting technique. Titanium dioxide nanoparticles were also utilized as inorganic filler additive in the membrane fabrication. The effect of TiO2 nanoparticles concentration in the casting solution on the membrane physico-chemical properties was studied. Membrane wate...

Let A be a strictly increasing sequence of positive integers . Let 2A denote the set of all integers of the form n = a + a', where a, á E A. If n c 2A for all sufficiently large n, then A is an asymptotic basis of order 2, or, simply, a basis. Let r A(n) denote the number of representations of n in the form n = a + a', where a, a' E A and a < a' . An old conjecture of Erdös and Turán [2] states...

The foundations are laid for an additive version of the Analytic Hierarchy Process by constructing a framework for the study of multiplicative and additive pairwise comparison matrices and the relations between them. In particular, it will be proved that the only solution satisfying consistency axioms for the problem of retrieving weights from inconsistent additive judgements matrices is the ar...