Faug`ere's criterion used in the F5 algorithm is still not understand and thus there are not many implementations of this algorithm. We state its proof using syzygies to expl...
The notion of real radicals is a fundamental tool in Real Algebraic Geometry. It takes the role of the radical ideal in Complex Algebraic Geometry. In this article I shall describ...
In 1993 Koblitz and Fellows proposed a public key cryptosystem, Polly Cracker, based on the problem of solving multivariate systems of polynomial equations, which was soon general...
Abstract. We consider a multicriteria variant for the wellknown partition problem. A formula of the stability radius for an efficient solution was obtained. Mathematics Subject Cl...
This article contains the information about the defining and analysis of some rules which will permit the automatic retrieving of the romanian prefixed formations and enriching th...
A hybrid network of evolutionary processors (an HNEP) is a graph where each node is associated with an evolutionary processor (a special rewriting system), a set of words, an inpu...
We consider the possible ways of the homogenization of nongraded non-commutative algebra and show that it should be combined with the cancellation rule to get the mathematically a...
We investigate a certain quartic integral from V. Moll's book "Irresistible Integrals" and demonstrate how it can be solved by computer algebra methods, namely by u...
In a present paper a problem of classification of Aff(2, R)orbits' dimensions is considered on example of an autonomous two-dimensional affine differential system of first or...
Methodology and algorithms of evaluation of the traffic coefficient in priority queueing systems with zero and nonzero switchover times are presented. In the case of zero switchov...