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Titlebook: Computer Algebra in Scientific Computing; 24th International W François Boulier,Matthew England,Evgenii V. Vorozh Conference proceedings 20

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https://doi.org/10.1007/978-3-319-64218-5relative equilibrium positions of the gyrostat, when the vector of the gyrostatic moment of the system is located in one of the planes formed by the principal central axes of inertia. The research results were obtained in a symbolic (analytic) form on a computer and by means of a numerical experiment with the graphic interpretation.
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,Survey on Generalizations of the Intermediate Value Theorem and Applications,nts of continuous functions are given. These bisection methods require only the algebraic signs of the function values and are of major importance for studying and tackling problems with imprecise information.
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,Survey on Generalizations of the Intermediate Value Theorem and Applications,he existence of solutions of systems of nonlinear equations, the existence of fixed points of continuous functions as well as the existence of periodic orbits of nonlinear mappings and similarly, fixed points of the Poincaré map on a surface of section. Based on the corresponding criteria for the ex
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,On Truncated Series Involved in Exponential-Logarithmic Solutions of Truncated LODEs,in the form of series, for which only a finite number of initial terms is known. Each solution involves a finite set of power series, for which the maximum possible number of terms is calculated. Below, these algorithms are supplemented with the option to confirm the impossibility of obtaining a lar
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