Titlebook: Computer Algebra and Polynomials; Applications of Alge Jaime Gutierrez,Josef Schicho,Martin Weimann Book 2015 Springer International Publis

拘留

Survey on Counting Special Types of Polynomials, count the remaining ones, approximately and exactly. For polynomials in two or more variables, the situation changes dramatically. Most multivariate polynomials are irreducible. This survey presents counting results for some special classes of multivariate polynomials over a finite field, namely th

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Symbolic Solutions of First-Order Algebraic ODEs, solution methods available for such differential equations. However, if the hypersurface determined by the defining polynomial of an algebraic ordinary differential equation admits a parametrization, then solutions can be computed and the solvability in certain function classes may be decided. Afte

極深

Ore Polynomials in Sage, D-finite closure properties; natural transformations between related algebras; guessing; desingularization; solvers for polynomials, rational functions and (generalized) power series. This paper is a tutorial on how to use the package.

老巫婆

,Giac and GeoGebra – Improved Gr?bner Basis Computations,s equation computation and automatic geometry theorem proving by using an embedded or outsourced CAS. GeoGebra recently changed its embedded CAS from Reduce to Giac because it fits better into the educational use. Also careful benchmarking of open source Gr?bner basis implementations showed that Gia

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Canary

sparse

Fast Algorithms for Refined Parameterized Telescoping in Difference Fields,olic summation. In 1981 Karr introduced .-fields, a general class of difference fields, that enables one to consider this problem for indefinite nested sums and products covering as special cases, e.g., the (.–)hypergeometric case and their mixed versions. This survey article presents the available

Obsequious

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