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Titlebook: Computer Algebra in Scientific Computing; 15th International W Vladimir P. Gerdt,Wolfram Koepf,Evgenii V. Vorozht Conference proceedings 20

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Lecture Notes in Computer Scienceis a generalized divisor of the latter one. We design an algorithm which finds first-order quasi-linear generalized divisors of a second-order quasi-linear ordinary differential equation. If solutions of an equation contain solutions of a pair of equations we say that the equation is a common multip
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General concepts from universal algebra, target, is considered. A symbolic-numerical algorithm for generating .-dimensional oscillator eigenfunctions, symmetric or antisymmetric with respect to permutations of . identical particles in the new symmetrized coordinates, is formulated and implemented using the MAPLE computer algebra system. E
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General concepts from universal algebra,ie algebra .(3,1) when the equations possess additional polynomial first integrals of degrees 3 and 6. The problems of obtaining stationary sets of the equations and investigation of their stability are considered. In addition to the sets obtained earlier [1], we have found new zero-dimensional and
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https://doi.org/10.1007/978-1-4613-4229-8s must have in order to allow a categorical approach is given. Object-oriented inheritance is presented as a suitable abstraction scheme and exemplified by the Java Algebra System. Type classes are then introduced as an alternate abstraction scheme and shown to be eventually better suited for modeli
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https://doi.org/10.1007/978-3-319-53721-4. of order 60 are enumerated. It turns out that there are 2848 S-rings over .., in 163 orbits under the action of ... Among them there are 505 non-Schurian S-rings, in 19 orbits. We discuss the entire picture of this rich computer data and try to present an initial outline of a human explanation for
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Computer Algebra in Scientific Computing978-3-319-02297-0Series ISSN 0302-9743 Series E-ISSN 1611-3349
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https://doi.org/10.1007/978-1-349-12988-1n space that occurs while differentiating one of the equations. Basing on this, we show a way to compute the dimension of the solution space of a given full rank system. In addition, we show how the change in the dimension can be used to estimate the number of steps of some algorithms to convert a given full rank system into an appropriate form.
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