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

Generalize

Computer Algebra in Nanosciences: Modeling Electronic States in Quantum Dots,r can be solved in terms of hypergeometric or Bessel functions. The usage of indeterminate coefficients allows one to obtain the solution of the problem equations in terms of control parameters, which can then be choosen according to the purposes of a nanotechological process.

谷物

Murat Yilmaz,Paul Clarke,Thomas Peisl, detail its numerical aspects and describe experiments on tangential problems, which show the efficiency of the approach. An industrial application of the method is presented at the end of the paper. It consists in recovering cylinders from a large cloud of points and requires intensive resolution of polynomial equations.

雄伟

https://doi.org/10.1007/978-1-137-06138-6Though Janet-like division is not involutive, it preserves all algorithmic merits of Janet division, including Noetherianity, continuity and constructivity. Due to superiority of Janet-like division over Janet division, the algorithm for constructing Gröbner bases based on the new division is more efficient than its Janet division counterpart.

Organonitrile

arthroscopy

Resultant-Based Methods for Plane Curves Intersection Problems,, detail its numerical aspects and describe experiments on tangential problems, which show the efficiency of the approach. An industrial application of the method is presented at the end of the paper. It consists in recovering cylinders from a large cloud of points and requires intensive resolution of polynomial equations.

唠叨

Janet-Like Monomial Division,Though Janet-like division is not involutive, it preserves all algorithmic merits of Janet division, including Noetherianity, continuity and constructivity. Due to superiority of Janet-like division over Janet division, the algorithm for constructing Gröbner bases based on the new division is more efficient than its Janet division counterpart.

Alopecia-Areata

词根词缀法

Murat Yilmaz,Rory V. O’Connor,John CollinsHEMATICA 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.

组装

澄清

Systems, Stability, and Statecraftroot separation ., coefficients |. .| ≥ 1 and ., it needs coefficient approximations to .(.(log(1/.) + .)) bits after the binary point and has an expected cost of .(. . (log(1/.) + .).) bit operations.