Triangular sets appear under various names in many papers concerning systems of polynomial equations. Ritt (1932) introduced them as characteristic sets. He described also an algorithm for solvingâ€¦ (More)

This paper presents an algorithm for computing algebraically relative resolvents which enhances an existing algorithm by avoiding the accumulation of superfluous powers in the intermediateâ€¦ (More)

In this paper, we are concerned with the following problem: given a finite family F of multivariate polynomials over a field k with ordered variables x1 < x2 < Â· Â· Â· < xn, we want to describe theâ€¦ (More)

Abstract.â€”In the Camargue (southern France), drastic changes in wetlands have occurred (notably extension of agriculture and salt extraction) since the 1960s, which affect the resources available toâ€¦ (More)

Since the recent spread of highly pathogenic (HP) H5N1 subtypes, avian influenza virus (AIV) dispersal has become an increasing focus of research. As for any other bird-borne pathogen, dispersal ofâ€¦ (More)

BACKGROUND
Data collected to inform time variations in natural population size are tainted by sampling error. Ignoring sampling error in population dynamics models induces bias in parameterâ€¦ (More)

The approach of solving geometric constraints involving inequalities proposed by Hong and others uses triangular decomposition, solution formulas, and quantifier elimination. We show that forâ€¦ (More)