The low-density expansions of the concentration of monomers, dimers, trimers, and the mean cluster size are computed exactly, up through three-body cluster integrals, for a continuumpercolation model of spheres characterized by both exclusion-volume repulsions and shortrange attractions. The compactness of trimers for our model is studied in the dilute limit. Interestingly, the [1,1] Pade appro...

In this paper we interpret the Berlekamp-Massey algorithm (BMA) for synthesis of linear feedback shift register (LFSR) as an algorithm computing Pade approximants for Laurent series over arbitrary field. This interpretation of the BMA is based on a iterated procedure for computing of the sequence of polynomials orthogonal to some sequence of polynomial spaces with scalar product depending on th...

Kaminski, M. and A. Sidi, Solution of an integer programming problem related to convergence of rows of PadC approximants, Applied Numerical Mathematics 8 (1991) 217-223. The following integer programming problem arises in the convergence analysis of rows of Pade approximants for meromorphic functions: maximize Xr=r( C+J, C-I,‘), subject to the constraints C:=ro, = 7, 0 < a, < w,, 1 Q i Q r. Her...

in this paper, we have proposed a new iterative method for finding the solution of ordinary differential equations of the first order. in this method we have extended the idea of variational iteration method by changing the general lagrange multiplier which is defined in the context of the variational iteration method.this causes the convergent rate of the method increased compared with the var...

We investigate the relationships among the Pad e table, continued fraction expansions and perfect reconstruction (PR) lter banks. We show how the Pad e table can be utilized to develop a new lattice structure for general two-channel bi-orthogonal perfect reconstruction (PR) lter banks. This is achieved through characterization of all two-channel bi-orthogonal PR lter banks. The parameterization...