A 'differential measure' is used to cast our calculus for the group SU (3) into a form similar to Schwinger's boson operator calculus for the group SU (2). It is then applied to compute (i) the inner product between the basis states and (ii) an algebraic formula for the Clebsch-Gordan coefficients. These were obtained earlier by us using Gaussian integration techniques.

The issues of routing and of scheduling the activation of links in packet radio networks are highly interdependent. In this paper, we consider a form of the problem of routing for the minimization of congestion as a step toward the study of the joint routing-scheduling problem. We formulate this as a combinatorialoptimization problem, and we use Hopfield neural networks (NN) for its solution. T...

Résumé – Ce papier traîte du problème de la synchronisation conjointe rythme et phase pour des signaux CDMA en environnement multiutilisateur. Nous proposons une nouvelle version d’un algorithme standard de synchronisation optimisé pour un contexte multi-utilisateur. L’amélioration va porter sur la boucle la plus sensible aux interférences, la boucle de récupération de rythme. L’optimisation co...

The kinetic theory is formulated with respect to anholonomic frames of reference on curved spacetimes. By using the concept of nonlinear connection we develop an approach to modelling locally anisotropic kinetic processes and, in corresponding limits, the relativistic non–equilibrium thermodynamics with local anisotropy. This lead to a unified formulation of the kinetic equations on (pseudo) Ri...

The scheme of divided differences is widely used in many approximation and interpolation problems. Computing the Newton coefficients of the interpolating polynomial is the first step of the Björck and Pereyra algorithm for solving Vandermonde systems of equations (Cf. [1]). Very often this algorithm produces very accurate solution. The problem of determining the Newton coefficients is intimatel...

This report is concerned with the computation cost of the determinant of a (bivariate) polynomial matrix required in the guaranteed accuracy L∞-norm computation. The obtained computation cost is in terms of word operations, unlike most results available in the literature where the computation cost is provided in terms of arithmetic operations. The proposed method employs multivariate Lagrange i...

A new method to fit specific types of conics to scattered data points is introduced. Direct, specific fitting of ellipses and hyperbolæ is achieved by imposing a quadratic constraint on the conic coefficients, whereby an improved partitioning of the design matrix is devised so as to improve computational efficiency and numerical stability by eliminating redundant aspects of the fitting procedur...

The zero distribution of orthogonal polynomials pn,N , n = 0, 1, . . . generated by recurrence coefficients an,N and bn,N depending on a parameter N has been recently considered by Kuijlaars and Van Assche under the assumption that an,N and bn,N behave like a(n/N) and b(n/N), respectively, where a(·) and b(·) are continuous functions. Here, we extend this result by allowing a(·) and b(·) to be ...

The purpose of this paper is to find out a set of general recurrence formulas for the calculus of the SU(3) Clebsch-Gordan coefficients. The first six sections are introductory, presenting the notations and general group theoretical methods applied to SU(3). The following eight sections are devoted to a detailed treatment of the carrier spaces of the irreducible representations and their direct...