Titlebook: Computer Algebra in Scientific Computing; 17th International W Vladimir P. Gerdt,Wolfram Koepf,Evgenii V. Vorozht Conference proceedings 20

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Janet Bases and Resolutions in , ,tion of a Pommaret basis rather expensive, we extend here our algorithm to Janet bases. Although in .-singular coordinates, Janet bases may induce larger resolutions than the corresponding Pommaret bases, our benchmarks demonstrate that this happens rarely and has no significant effect on the computation costs.

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Solving Polynomial Systems in the Cloud with Polynomial Homotopy Continuation,n methods to solve polynomial systems in the cloud. Via the graph isomorphism problem we organize and classify the polynomial systems we solved. The classification with the canonical form of a graph identifies newly submitted systems with systems that have already been solved.

中古

Symbolic Algorithm for Generating Irreducible Bases of Point Groups in the Space of SO(3) Group,rojection operators for the intrinsic group acting in the space . are constructed. The efficiency of the algorithm is investigated by calculating the bases for both laboratory and intrinsic octahedral groups irreducible representations for the set of angular momenta up to .?=?10.

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Die Demokratie des politischen Systems, coefficient bitsize of the input polynomials. Such bounds allows to estimate the bit complexity of the algorithms that depend on the separation bound, like the homotopy algorithms, for solving polynomial systems.

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