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Titlebook: Algorithms in Algebraic Geometry and Applications; Laureano González-Vega,Tomás Recio Conference proceedings 1996 Birkh?user Verlag, P.O.

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樓主: deliberate
31#
發(fā)表于 2025-3-27 00:27:25 | 只看該作者
https://doi.org/10.1007/978-3-658-22259-8 current level of progress, and an outline of the main methods employed. The emphasis in Sections 1 to 4 will be on the group of rational points on the Jacobian of a hyperelliptic curve. Section 5 will concern itself with the use of the Jacobian to help to determine the rational points on the curve itself.
32#
發(fā)表于 2025-3-27 03:05:48 | 只看該作者
33#
發(fā)表于 2025-3-27 06:02:23 | 只看該作者
Progress in Mathematicshttp://image.papertrans.cn/a/image/153259.jpg
34#
發(fā)表于 2025-3-27 11:27:20 | 只看該作者
35#
發(fā)表于 2025-3-27 13:47:08 | 只看該作者
On a conjecture of C. Berenstein and A. Yger,.,…,.. ? .[..,..] of degree ≤ . such that .. belongs to the ideal generated by ..,…, .. that and each solution ..,…, .. of the equation.satisfies max deg.. In other words, the growth of the degrees of the polynomial coefficients in the representation problem for an ideal .. is, in general, double-exponential.
36#
發(fā)表于 2025-3-27 21:36:48 | 只看該作者
Some effective methods in pseudo-linear algebra, objects of pseudo-linear algebra (pseudo-derivations, skew polynomials, and pseudo-linear maps), and then outline some fundamental algorithms acting on them. As applications, we are able to uncouple first-order linear systems of differential and (.) difference equations, and in some cases to solve them.
37#
發(fā)表于 2025-3-27 23:55:36 | 只看該作者
38#
發(fā)表于 2025-3-28 05:27:07 | 只看該作者
A computational method for diophantine approximation,, let us consider the problem of deciding whether a given system of polynomial equalities has a solution. This means that we have to eliminate a single block of quantifiers in a formula with polynomial equations.
39#
發(fā)表于 2025-3-28 09:01:32 | 只看該作者
40#
發(fā)表于 2025-3-28 14:25:12 | 只看該作者
Der Wohlfahrtsstaat und seine Bürgerh is defined as the sum of the local residues over all roots, has invariance properties which guarantee its rational dependence on the coefficients [9], [27]. In this paper we present symbolic algorithms for evaluating that rational function.
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