Quantum-dot Cellular Automata (QCA) technology is a solution for implementation of the nanometer sized circuits and it can be a suitable replacement for CMOS. Similar to CMOS technology, designing the basic computational element such as adder with the QCA technology is regarded as one of the most important issues that extensive researches have been done about it. In this paper, a new eff...

be the set of all non-negative integer combinations of a1, . . . , ad, or, in other words, the semigroup S ⊂ Z+ of non-negative integers generated by a1, . . . , ad. What does S look like? In particular, what is the largest integer not in S? (It is well known and easy to see that all sufficiently large integers are in S.) How many positive integers are not in S? How many positive integers withi...

Optimization of the complete manufacturing and supply process has become a critical ingredient for gaining a competitive advantage. This article provides a unified mathematical framework for modeling manufacturing cell configuration and raw material supplier selection in a two-level supply chain network. The commonly used manufacturing design parameters along with supplier selection and a subco...

ABSTRACT Macrosegregation has been received high attention in the solidification modeling studies. In the present work, a numerical model was developed to predict the macrosegregation during the DC Casting of an Al-4.5wt%Cu billet. The mathematical model developed in this study consists of mass, momentum, energy and species conservation equations for a two-phase mixture of liquid and solid in a...

Light-emitting dendrimers are a new distinct class of material for OLEDs. Dendrimers consist of a light-emitting core, dendrons and surface groups. Dendrimers are designed for solution coating and have a number of advantages over conjugated polymers. We report our recent results for solution processed green dendrimer OLEDs. The OLEDs were fabricated by spin-coating a blend of first generation d...

We present efficient algorithms for solving Legendre equations over Q (equivalently, for finding rational points on rational conics) and parametrizing all solutions. Unlike existing algorithms, no integer factorization is required, provided that the prime factors of the discriminant are known.