On the normalization of numbers and functions defined by radicals

Marc Rybowicz

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On the normalization of numbers and functions defined by radicals

机译：关于部首定义的数字和函数的归一化

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摘要

Based on a criterion due to Kneser, we present new results for the degree of field extensions generated by finitely many radicals. We also improve an algorithm given by Zippel for computing a basis for such an extension field. This algorithm may be effectively used by computer algebra systems to normalize expressions involving radicals.

机译：基于Kneser的判据，我们提出了由有限多个根基生成的场扩展度的新结果。我们还改进了Zippel给出的算法，用于计算此类扩展字段的基础。该算法可被计算机代数系统有效地用来归一化涉及部首的表达式。

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《urnal of Symbolic Computation》 |2003年第6期|p.651-672|共22页
作者
Marc Rybowicz;
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作者单位

Laboratoire d'Arithmetique, Calcul Formel et Optimisation, Universite de Limoges, 123 Avenue Albert Thomas, UMR CNRS 6090, Limoges Cedex 87060, France;

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正文语种 eng
中图分类计算技术、计算机技术;
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机译：关于部首定义的数字和函数的归一化

On the normalization of numbers and functions defined by radicals

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