Titlebook: Maple in Mathematics Education and Research; 4th Maple Conference Robert M. Corless,Jürgen Gerhard,Ilias S. Kotsirea Conference proceedings

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The , Package for Solving Linear Ordinary Differential Equations Having Truncated Series Coefficientncated. A series of the form . can also be given completely using an algorithm that computes . from .. The equation may contain both types of coefficients—truncated and represented algorithmically. Algorithms and commands that implement them in Maple as the . package are proposed, which make it poss

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Computation of the Observed Spectral Sequence Spectrum for Nucleotide Sequence Alignments their evolution, subject to the Kimura Three Parameters Model, Hadamard Conjugation is an equation that relates its tree weights (within a matrix Q) to its substitution patterns distribution (within a matrix P) on leaves. In practice, the latter matrix is approximated via the DNA sequence alignment

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Multivariate Power Series in Mapleer such series. This library offers a simple and easy-to-use user interface. Its implementation relies on lazy evaluation techniques and takes advantage of .’s features for object-oriented programming. The exposed methods include Weierstrass Preparation Theorem and factorization via Hensel’s lemma.

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Computation of the ,-norm of Finite-Dimensional Linear Systemscomputation of the maximal .-projection of the real solutions . of a bivariate polynomial system ., with .. Then, we use standard computer algebra methods to solve the problem. In this paper, we alternatively study a method based on rational univariate representations, a method based on root separat

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