Computer algebra systems (CAS) such as Derive, Maple and Mathematica are influencing the way we teach mathematics. With the assistance of CAS, we can examine new avenues for ...

This paper is concerned with the Shohat-Favard, Chebyshev and Modified Chebyshev methods for d-orthogonal polynomial sequences (d Î N). Shohat-Favard's method is presented ...

We obtain an explicit polynomial whose simple positive real roots provide the limit cycles which bifurcate from the periodic orbits of a family of cubic polynomial ...

We describe a simplified cylindrical decomposition algorithm that allows us to find at least one rational point in each connected component of an open semialgebraic set. In ...

We study a class of Padovan-like sequences that can be generated using special matrices of the third order. We show that terms of any sequence of this class can be expressed ...

Two interpolation algorithms are presented for the computation of the inverse of a two variable polynomial matrix. The first interpolation algorithm, is based on the Lagrange ...

We use Mathematica to prove that a tangent line to the graph of ay cubic polynomial with real roots, at a location halfway between any two roots, crosses the x-axis at the ...

A new algorithm is presented for the determination of the (a) generalized inverse and (b) Drazin inverse, of a polynomial matrix. The proposed algorithms are based on the ...

The center problem at infinity is far to be solved in general. In this paper we develop a procedure to resolve it for a particular type of polynomial differential systems. ...

We study the problem of deciding whether a system of real polynomial equations and inequalities has solutions, and if yes finding a sample solution. For polynomials with ...