Titlebook: Computer Algebra in Scientific Computing; CASC 2000 Victor G. Ganzha,Ernst W. Mayr,Evgenii V. Vorozhts Conference proceedings 2000 Springer

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About Simultaneous Representation of Two Natural Numbers by a Sum of Three Primes,

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Victor G. Ganzha,Ernst W. Mayr,Evgenii V. Vorozhts

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P. Cannarsa,G. Fragnelli,J. VancostenobleFor two models of the quantitative dynamics of a predatorprey system such as the generalized three-dimensional Lotka-Voltterra models the existence of the stable self-oscillatory regimes of behavior is investigated basing on qualitative and bifurcation theories as well as on computer experiment.

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Effective computation of algebra of derivations of Lie algebras,By the software . we design a program that allows calculate the algebra of derivations of any Lie algebra. As an example we use this program in a special class of Lie algebras, (. - 4)-filiform Lie algebras of dimension ..

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Application of Computer Algebra in Problems on Stabilization of Gyroscopic Systems,the software ”STABILITY” [1]. This software is based on the computer algebra system ”Mathematica” [2] and is designed to investigate stability and stabilization of mechanical systems in symbolic and numeric-symbolic forms.

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,Computing “Small” 1-Homological Models for Commutative Differential Graded Algebras,all I-homological model for commutative differential graded algebras (briefly, CDGAs). The complexity of the procedure is studied and a computer package in Mathematica is described for determining such models.

APRON

An ,ntegration and ,eduction for ,rdinary ,on Linear ,ifferential ,quations ,ibrary, organize in a logic manner the studies developed in different directions and we show how the modules obtained from these studies could cooperate in order to build IRONDEL, a Library for the Integration and Reduction of Ordinary Non linear Differential Equations.