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Titlebook: Computer Algebra in Scientific Computing; 14th International W Vladimir P. Gerdt,Wolfram Koepf,Evgenii V. Vorozht Conference proceedings 20

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Michel Picard,Alain Renault,Béatrix Barafort polynomial equations. We first consider the case of two colors for which the problem is known to be hard and we then extend the approach to the general case. We also present a formulation of the rainbow connectivity problem as an ideal membership problem.
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https://doi.org/10.1007/978-3-319-24647-5n three variables near a singular point at which this polynomial is annulled with its partial derivatives. We apply this method for investigation of the set of stability of some gyroscopic system with 4 degrees of freedom and with 3 parameters. It is also possible to compute the set of stability wit
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Murat Yilmaz,Ali Al-Taei,Rory V. O’Connork-3 unbalanced method is presented, showing that the “classical” square-and-multiply algorithm is not (always) optimal. The new algorithm is used as a new basic tool to improve long integer exponentiation: different techniques combining binary and ternary exponent expansion are shown. Effective impl
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Jakub Stolfa,Marek Spanyik,Petr Dolejsitationary points of the system, two of one-parameter families were chosen. These families correspond to the resonance of eigenvalues (0, 0, ., − ., 2., − 2.) of the matrix of the linear part of the system, also in [1] it was conjectured the absence of the additional first integral (with respect to w
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https://doi.org/10.1007/978-3-319-97925-0due to its relation to the existence of oscillations. For low dimensional reaction systems without additional constraints Hopf bifurcation can be computed by reducing the question of its occurrence to quantifier elimination problems on real closed fields. However deciding its occurrence in high dime
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