a method for predicting liquid densities of binary mixtures from heat of vaporization and liquid densityat boiling point temperature (δhvap and n b ρ ) as scaling constants, is presented. b2(t) follows a promisingcorresponding-states principle. calculation of α(t) and b(t), the two other temperature-dependentconstants of the equation of state, are made possible by scaling. as a result δhvap and...

in the present paper a solution of the generalizedquadratic functional equation$$f(kx+ y)+f(kx+sigma(y))=2k^{2}f(x)+2f(y),phantom{+} x,yin{e}$$ isgiven where $sigma$ is an involution of the normed space $e$ and$k$ is a fixed positive integer. furthermore we investigate thehyers-ulam-rassias stability of the functional equation. thehyers-ulam stability on unbounded domains is also studied.applic...

We consider two fluid queues attended by a switching server and address the optimal steady-state and transient trajectory problems. The steady-state problem is formulated as a quadratic problem (QP), given a fixed cycle time. Evaluating the QP problem over a range of cycle times results in the optimal steady-state trajectory. We minimize the holding costs, backlog costs and setup costs, allow s...

an analytical equation of state has been previously modified by papari et al. for representing the volumetric properties of molecular fluids. however the performance of that eos has not been yet well investigated for refrigerant fluids. this study extended that equation to 19 liquid refrigerants to predict their densities at isothermal and saturated states. two temperature-independent parameter...

In this paper we introduce a general class of level dependent Quasi-Birth-and-Death (QBD) processes and their stationary solution. We obtain the complete characterization of their fundamental matrices in terms of minimal non-negative solution of number of matrix quadratic equations. Our results will provide mixed-geometric solution for the stationary solution of level dependent chains. Applicat...

‎In this paper we consider the minimization of a positive semidefinite quadratic form‎, ‎having a singular corresponding matrix $H$‎. ‎We state the dual formulation of the original problem and treat both problems only using the vectors $x in mathcal{N}(H)^perp$ instead of the classical approach of convex optimization techniques such as the null space method‎. ‎Given this approach and based on t...