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Titlebook: Computer Algebra in Scientific Computing; 25th International W François Boulier,Matthew England,Evgenii V. Vorozh Conference proceedings 20

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,On the Distance to the Nearest Defective Matrix,. The problem is reduced to the univariate algebraic equation construction via computing the discriminant of an appropriate bivariate polynomial. Several examples are presented including the cases of complex and real matrices.
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,On the Structure and Generators of Differential Invariant Algebras, the method of equivariant moving frames. We develop a computational algorithm that will, in many cases, determine whether a given set of differential invariants is generating. As an example, we establish a new result that the Gaussian curvature generates all the differential invariants for Euclidean surfaces in three-dimensional space.
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Systemtechnik des Schienenverkehrsons on the parameters of the system are derived by using methods of solving semi-algebraic systems. Using the method of algorithmic averaging, we provide sufficient conditions for the existence of one limit cycle bifurcating from a zero-Hopf equilibrium of the Lorenz–Stenflo system. Some examples are presented to verify the established results.
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Systemtechnik des Schienenverkehrs. The problem is reduced to the univariate algebraic equation construction via computing the discriminant of an appropriate bivariate polynomial. Several examples are presented including the cases of complex and real matrices.
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https://doi.org/10.1007/978-3-031-41724-5symbolic and algebraic algorithms; computer algebra systems; mathematical software; modeling and simula
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