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Titlebook: Computer Algebra in Scientific Computing; 8th International Wo Victor G. Ganzha,Ernst W. Mayr,Evgenii V. Vorozhts Conference proceedings 20

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Circulant Digraphs and Monomial Ideals,l, we provide formulae to compute the diameter and the average distance. Finally, we present a new and attractive family (parametrized with the diameter .>2) of circulant digraphs of degree three associated to an irreducible monomial ideal.
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Normal Forms and Integrability of ODE Systems,HEMATICA package. Our results show that in cases of the existence of an additional first integral of the system its normal form is degenerate. So we assume that the integrability of a system can be checked through its normal form.
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Symbolic Calculations in Studying the Stability of Dynamically Symmetric Satellite Motion, precession of the satellite in the Liapunov sense and domains of its linear stability in the parameter space. Using the infinite determinant method we have calculated analytically the boundaries of the domains of instability as power series in the eccentricity of the orbit. All the calculations have been done with the computer algebra system ..
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Algebraic Topological Analysis of Time-Sequence of Digital Images,le to get an AT–model for the 3D digital image consisting in concatenating the successive 2D digital images in the sequence. If the frames are represented in a quadtree format, a similar positive result can be derived.
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Generation of Orthogonal Grids on Curvilinear Trimmed Regions in Constant Time, the existing algebraic grid generation methods and lead to the intersection of grid lines. All symbolic calculation can be performed with general purpose Computer Algebra Systems, and expressions obtained in this way can be translated in Java/C++ code.
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