In this paper, we present a collective model of household demand based on Pareto-efficiency. In addition, we suppose that (i) each household member is egoistic and consumption is purely private, (ii) there is a set of distribution factors and (iii) there is one exclusive good. Then we derive the testable restrictions which are implied by this theoretical setting. Mots clés : modèle collectif, d...

The deliverable outlines the ongoing research towards a 4 generation of mobile radio systems. The deliverable uses deliverable D7.1 of the Matrice project within FP5 as a base to extend this towards the research projects within FP6 and local financed in Europe, the 802.X activities in North America, research activities in Asia and world-wide. Keyword list: 4G, Research activities, FP6, Multicar...

design of crystal-like lattices can be achieved by using some net operations. hypothetical networks, thus obtained, can be characterized in their topology by various counting polynomials and topological indices derived from them. the networks herein presented are related to the dyck graph and described in terms of omega polynomial and piv polynomials.

Nous étudions le nombre de cöıncidences des chiffres uns dans chaque paire de lignes différentes d’une matrice binaire et inversible dont toutes les lignes contiennent la même quantité d’unités. Nous présentons des bornes pour ce nombre, et nous démontrons que ces bornes peuvent être atteintes. Que la borne inférieure peut être réalisée est démontré par moyen des exemples. Quant à la borne supé...

for every $1leq s< n$, the $s^{th}$ derivative of a polynomial $p(z)$ of degree $n$ is a polynomial $p^{(s)}(z)$ whose degree is $(n-s)$. this paper presents a result which gives generalizations of some inequalities regarding the $s^{th}$ derivative of a polynomial having zeros outside a circle. besides, our result gives interesting refinements of some well-known results.

in this paper, the concept of canonical representation is proposed to find fuzzy roots of fuzzy polynomial equations. we transform fuzzy polynomial equations to system of crisp polynomial equations, this transformation is perform by using canonical representation based on three parameters value, ambiguity and fuzziness.

Some identities due to Karlin and Szegö which provide a relationship between determinants of classical orthogonal polynomials of Wronskian and Hankel type are shown to be specializations of a general algebraic identity between minors of a matrix. Résumé On montre que des familles d’identités découvertes par Karlin et Szegö, qui relient des Wronskiens et des déterminants de Hankel de polynômes o...

Dans [1] Giffen montre comment associer à toute matrice α symétrique élémentaire à coefficients dans un anneau commutatif A , un élément s2(α) dans un quotient convenable de K2 . Cet invariant s2(α) est très concret: c’est l’obstruction à relever α en un élément symétrique du groupe de Steinberg de A . Il est démontré dans [10] qu’en composant s2 avec l’homomorphisme de Hurewicz et la classe de...

Marie Dumont1, Arnaud Lehner1, Sophie Bouton2, Marie Christine Kiefer-Meyer1, Aline Voxeur1,3, Jérôme Pelloux2, Patrice Lerouge1 and Jean-Claude Mollet1,* Laboratoire de Glycobiologie et Matrice Extracellulaire Végétale (Glyco-MEV) EA4358, Normandy University, University of Rouen, Institut de Recherche et d’Innovation Biomédicale, 76821 Mont-Saint-Aignan, France, Laboratoire Biologie des Plante...