AlgebraicNumberPolynomial[a,x]
给出与 AlgebraicNumber 对象 a 相应的关于 x 的多项式.
AlgebraicNumberPolynomial
AlgebraicNumberPolynomial[a,x]
给出与 AlgebraicNumber 对象 a 相应的关于 x 的多项式.
更多信息
- 对于形如 AlgebraicNumber[θ,{c0,c1,…}] 的代数数 a 而言,AlgebraicNumberPolynomial[a,x] 为多项式
,将 θ 代入其中的 x 可以得到 a.
范例
打开所有单元 关闭所有单元基本范例 (1)
计算 AlgebraicNumber 对象的代数数多项式:
AlgebraicNumber[Sqrt[2] + Sqrt[3], {1, 2, 3, 4}]AlgebraicNumberPolynomial[%, x]范围 (3)
AlgebraicNumberPolynomial[2, x]AlgebraicNumberPolynomial[1 / 2, x]AlgebraicNumber 对象:
AlgebraicNumberPolynomial[AlgebraicNumber[Sqrt[2], {1, 2}], x]AlgebraicNumberPolynomial 自动线性作用于列表:
AlgebraicNumberPolynomial[{2, AlgebraicNumber[Sqrt[2], {1, 2}]}, x]应用 (1)
{θ, λ} = {AlgebraicNumber[Sqrt[2] + Sqrt[3], {1, 2, 3, 4}], AlgebraicNumber[Sqrt[2] + Sqrt[3], {1, -2, 1, 1}]};RootReduce[θ + λ]AlgebraicNumberPolynomial[θ, x] + AlgebraicNumberPolynomial[λ, x]RootReduce[% /. x -> Sqrt[2] + Sqrt[3]]属性和关系 (1)
AlgebraicNumber 定义为一个代数数的多项式函数:
a = AlgebraicNumber[Sqrt[2 + Sqrt[3]], {1, 2, 3, 4}]b = AlgebraicNumberPolynomial[a, x] /. x -> Sqrt[2 + Sqrt[3]]RootReduce[b == a]可能存在的问题 (1)
相关指南
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▪
- 代数数论
文本
Wolfram Research (2007),AlgebraicNumberPolynomial,Wolfram 语言函数,https://reference.wolfram.com/language/ref/AlgebraicNumberPolynomial.html.
CMS
Wolfram 语言. 2007. "AlgebraicNumberPolynomial." Wolfram 语言与系统参考资料中心. Wolfram Research. https://reference.wolfram.com/language/ref/AlgebraicNumberPolynomial.html.
APA
Wolfram 语言. (2007). AlgebraicNumberPolynomial. Wolfram 语言与系统参考资料中心. 追溯自 https://reference.wolfram.com/language/ref/AlgebraicNumberPolynomial.html 年
BibTeX
@misc{reference.wolfram_2026_algebraicnumberpolynomial, author="Wolfram Research", title="{AlgebraicNumberPolynomial}", year="2007", howpublished="\url{https://reference.wolfram.com/language/ref/AlgebraicNumberPolynomial.html}", note=[Accessed: 12-August-2026]}
BibLaTeX
@online{reference.wolfram_2026_algebraicnumberpolynomial, organization={Wolfram Research}, title={AlgebraicNumberPolynomial}, year={2007}, url={https://reference.wolfram.com/language/ref/AlgebraicNumberPolynomial.html}, note=[Accessed: 12-August-2026]}