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...

− We can obtain the performance of the marine seismometer upon the sediment to know its coupling in the bottom sea. This paper deals with the coupling parameters in order to obtain the geophone response through the frequency. The use of the shake table and vibration calibrator allows to deduce the coupling transfer function between the geophone and the sediment sea without using a detailed mode...

In contrast to the fact that Gaussian linear processes generally have nonunique moving-average representations, non-Gaussian univariate linear processes have been shown to admit essentially unique moving-average representation, under various regularity conditions. We extend the one-dimensional result to multivariate processes. Under various conditions on the intercomponent dependence structure ...

My talk will be based on paper " Synthesis of two-dimensional loss-less m-ports with prescribed scattering matrix " by A. Kummert.

-A mixed sensitivity H control methodology is tested on a Three-Tank-System laboratory prototype. The methodology is based on a stable precompensator and its dual post-compensator which allows to solve a mixed sensitivity problem. Frequency responses show that it is possible to shape the open loop transfer function by the control parameters. Time responses are given under flow leak, close conne...

The inversion of combinatorial sums is a fundamental problem in algebraic combinatorics. Some combinatorial sums, such as a n = P k d n;k b k , can not be inverted in terms of the orthogonality relation because the innnite, lower triangular array P = fd n;k g's diagonal elements are equal to zero (except d 0;0). Despite this, we can nd a left-inverse P such that P P = I and therefore are able t...