Titlebook: Computer Algebra in Scientific Computing; 19th International W Vladimir P. Gerdt,Wolfram Koepf,Evgenii V. Vorozht Conference proceedings 20

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On New Integrals of the Algaba-Gamero-Garcia System,in. The approach is based on making use of the Power Geometry Method and the computation of normal forms. We look for the complete set of necessary conditions on parameters of the system under which the system is locally integrable near the degenerate stationary point. We found earlier that the sets

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Full Rank Representation of Real Algebraic Sets and Applications,nifolds . of ., ., such that the rank of the Jacobian matrix of each . at any point of . is the same as the number of polynomials in ...By introducing an auxiliary variable, we show that a squarefree regular chain . can be transformed to a new regular chain . having various nice properties, such as

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,Decomposing Polynomial Sets Simultaneously into Gröbner Bases and Normal Triangular Sets,hic Gröbner bases and normal triangular sets with inherent connections in between and associated zero relationship with the polynomial set. In particular, a method by temporarily changing the variable orderings to handle the failure of the variable ordering assumption is proposed to ensure splitting

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Symbolic Versus Numerical Computation and Visualization of Parameter Regions for Multistationarity e positive steady states. We build on recent progress which combines various symbolic computation methods for mixed systems of equalities and inequalities. We demonstrate that those techniques benefit tremendously from a newly implemented graph theoretical symbolic preprocessing method. We compare c

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Computation of Some Integer Sequences in Maple,ed Stirling partition and cycle numbers, and Eulerian numbers of the first and second kinds. We consider their evaluation in different contexts. One context is the calculation of a single value based on single input arguments. A more common context, however, is the calculation of a sequence of value

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