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Titlebook: Computational Algebra and Number Theory; Wieb Bosma,Alf Poorten Book 1995 Springer Science+Business Media Dordrecht 1995 Category theory.G

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樓主: CHAFF
21#
發(fā)表于 2025-3-25 05:17:13 | 只看該作者
Series Expansions of Algebraic Functions,raic functions. From the algorithm we show why the series developed over fields of finite characteristic will not necessarily be Puiseux..The series . = 1 + .. + .. + .. + ... satisfies .. + . + 1+ . = 0 over ... The shape of such series, which satisfy algebraic functions but which are not Puiseux series, is explored.
22#
發(fā)表于 2025-3-25 10:36:34 | 只看該作者
23#
發(fā)表于 2025-3-25 13:02:59 | 只看該作者
https://doi.org/10.1007/978-1-4615-4082-3thin group theory (see the examples in Coxeter and Moser [4]). Carmody and Walters [2, 3] gave a generalised procedure relating to the construction of certain left Kan extensions. Of this procedure, the Todd-Coxeter method is a special case. This paper describes a further generalisation, extending t
24#
發(fā)表于 2025-3-25 19:27:51 | 只看該作者
25#
發(fā)表于 2025-3-25 20:36:51 | 只看該作者
26#
發(fā)表于 2025-3-26 02:47:14 | 只看該作者
27#
發(fā)表于 2025-3-26 06:09:51 | 只看該作者
https://doi.org/10.1007/978-1-349-12448-0(.) and ..(.) are monic polynomials with integer coefficients. These coefficients can be computed by simple algorithms which require .(..) arithmetic operations over the integers. Also, there are explicit formulas and generating functions for ..(.) and ..(.). This paper is a preliminary report which
28#
發(fā)表于 2025-3-26 10:55:42 | 只看該作者
https://doi.org/10.1007/978-1-349-12448-0o illustrate many of the tools and features available in Magma for elementary number theory, on the other hand it provides an opportunity to present the results of some computations extending previously published tables about the first occurrence of integers as coefficients of cyclotomic polynomials
29#
發(fā)表于 2025-3-26 14:27:44 | 只看該作者
https://doi.org/10.1007/978-1-349-12448-0veral classical measures such as discrepancy and exponential sums. They are connected to several problems from quite different areas such as choosing parameters of linear iteration processes for solving system of linear equations, choosing knots for polynomial interpolation, estimating the size of V
30#
發(fā)表于 2025-3-26 19:12:40 | 只看該作者
https://doi.org/10.1007/978-1-349-12448-0tate some recent results on the computational complexity of this problem. We describe how the cylindrical algebraic decomposition (.) algorithm [2] can be used to solve this problem. We describe improvements to the efficiency of the cad-based approach to the consistency problem, some being applicabl
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