单变量结果可结合性的一个条件

Examples and Counterexamples Pub Date : 2023-05-02 DOI:10.1016/j.exco.2023.100113

D.A. Wolfram

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引用次数: 0

摘要

我们给出了多项式中变量出现的一个条件，并证明了它在非平凡情况下保证了单变量结果的结合性。我们给出了涉及变换和多项式零运算的例子。关联性使函数能够通过使用结果在多项式的零上组合。结果推广到有限多项式系统。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A condition for associativity of univariate resultants

We provide a condition on the occurrences of variables in polynomials and show that it ensures associativity of univariate resultants in non-trivial cases. We give examples involving transformations and arithmetic with the zeros of polynomials. Associativity enables the composition of functions on the zeros of a polynomial by using resultants. The result is generalised to finite systems of polynomials.

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来源期刊

Examples and Counterexamples

CiteScore

0.80

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0.00%

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