We address the problem of testing the hypothesis that the letters from some alphabet are distributed uniformly (i.e. ) against the alternative hypothesis that the true distribution is not uniform, in case is large. (It is typical for random number testing and some cryptographic problems where =...

In this article we prove several important properties of 2 minimum aberration (MA) designs with k ≥ n/2,where = 2 is the number of runs. We develop a simple method to build MA designs of resolution III. Furthermore, we introduce a simple relationship, based on product of polynomials, for...

In equilibrium systems, transitions at microscopic level are reversible. In this work the microscopic level is defined as the one corresponding to such a detailed description of the system composition that the observer, (1) for inability, cannot give, or (2) for his own decision, does not give....

A general Gibbs energy representation of the fundamental equation for multi-phase multi-reaction systems is presented. The integral expression of the Gibbs energy comprises of as many terms as variables which have been chosen to describe the composition. The simplest set of composition variables...

A comparison of three methods to deduce a property of element potentials that allows to write the Gibbs energy expression for systems at chemical equilibrium is presented. These methods are: (1) the algebraic procedure widely used in reactive distillation modelling to obtain the , (2) the...

Nous donnons dans le présent travail une nouvelle formulation des polynômes d'Adomian qui in- terviennent dans le calcul des termes de la série d'Adomian, dans le cas où l'opérateur non linéaire dépend non seulement de la variable u, mais aussi de ses dérivées spaciales Cette approche...

Strongly regular Cayley graphs with Paley parameters over abelian groups of rank 2 were studied in [5] and [12]. It was shown that such graphs exist iff the corresponding group is isomorphic to , where is an odd prime. In this paper we classify all strongly regular Cayley graphs over this group...

In this paper two techniques used to esteem greatness in calculations of Monte Carlo that cannot be written directly in the form of average of some state function are related with the model of attractive rigid spheres in the lattice. The first technique (Tranfer Matrix) relates the greatness...

We study the approximability of three versions of the Steiner tree problem. For the first one where the input graph is only supposed connected, we show that it is not approximable within better than | \ | for any ∊ ∈ (0, 1), where and are the vertex-set of the input graph and the set of...

A simple transform function is proposed to preprocess the intensity of gene expression, where the intensity can be that of a colored dye for cDNA microarrays or a gauge of probe matching for oligonucleotide arrays. A new measure of skewness is introduced to show that the transform function...