The building of Hierarchical Control Flow Graph (HCFG) Models of queueing systems is described by developing different model elements of queueing subsystems and then combining them into HCFG Models. A brief overview of HCFG Models, which is a new modeling paradigm for discrete event simulation,...

Algebric computing (AC) has been used successfully in General Relativity (GR). In this paper the applications of AC to Ashtekar variables are discussed. Ashtekar variables, a recent break through in the field of GR, has a number of applications to classical and quantum gravity. A summary of...

Our main objective in this note is to show how multidimensional residues can be used to make explicit division formulas in polynomial algebras; we will also discuss division problems with Laurent polynomials and detail, in some particular cases, the methods that can be used to compute the...

Morphological transformations are efficient methods for shape analysis and representation. In this paper two morphological shape descriptors are described for object feature representation. Neural networks are then employed for object recognition and classification. Various coding schemes and...

This article presents a symbolic kernel dedicated to differentiation which is used in a system for both animation and simulation. Theoretical aspects about complexity of motion equations using a Lagrangian formalism are discussed using research previously carried out in differentiation area....

The goal of this short paper is to describe one possible use of sketches in computer algebra. We show that sketches are a powerful tool for the description of mathematical structures and for the description of computations.

In the last decade a significant number of papers have been published on the efficient formulation of the inverse and forward dynamic equations of motion for robotic manipulators and in general for multibody systems, in view of real-time control or real-time simulation of the system.

The fuzzy control theory is used for controlling an autonomous mobile robot for the parallel parking, and the fuzzy rules can be derived by modeling driving actions of the conventional car. Loci of the robot for the parking are drawn through the computer simulation. In such a simulation, the...

During the past decade or so there has been growing theoretical, numerical and experimental support for the Bohigas-Giannoni-Schmit conjecture 1984 on the applicability of the random matrix theories statistics (GOE, GUE) in the classically ergodic quantal Hamiltonian systems. In the classically...

Several recurrence formulae are presented to calculate the derivatives of any order of a rational curve in the (BR) form in terms of its control polygon. This method is based on an extension to the (BR) curves of the De Casteljau algorithm.