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AlgebraicNumberPolynomial[a,x]

AlgebraicNumberオブジェクト a に対応する x における多項式を返す．

詳細
Details and Options Details and Options
例題  
例  
スコープ  
アプリケーション  
特性と関係  
考えられる問題  
関連項目
関連するガイド
履歴
引用書式

AlgebraicNumberPolynomial

AlgebraicNumberPolynomial[a,x]

AlgebraicNumberオブジェクト a に対応する x における多項式を返す．

詳細

例題

すべて開く すべて閉じる

例  (1)

AlgebraicNumberオブジェクトの代数的数に対する多項式を計算する：

Wolfram Language code: AlgebraicNumber[Sqrt[2] + Sqrt[3], {1, 2, 3, 4}]
Wolfram Language code: AlgebraicNumberPolynomial[%, x]

スコープ  (3)

整数と有理数：

Wolfram Language code: AlgebraicNumberPolynomial[2, x]
Wolfram Language code: AlgebraicNumberPolynomial[1 / 2, x]

AlgebraicNumberオブジェクト：

Wolfram Language code: AlgebraicNumberPolynomial[AlgebraicNumber[Sqrt[2], {1, 2}], x]

AlgebraicNumberPolynomialはリストに対して自動的に縫い込まれる：

Wolfram Language code: AlgebraicNumberPolynomial[{2, AlgebraicNumber[Sqrt[2], {1, 2}]}, x]

アプリケーション  (1)

多項式を使った代数的数の加算：

Wolfram Language code: {θ, λ} = {AlgebraicNumber[Sqrt[2] + Sqrt[3], {1, 2, 3, 4}], AlgebraicNumber[Sqrt[2] + Sqrt[3], {1, -2, 1, 1}]};
Wolfram Language code: RootReduce[θ + λ]

同じ操作を行う同等の方法：

Wolfram Language code: AlgebraicNumberPolynomial[θ, x] + AlgebraicNumberPolynomial[λ, x]
Wolfram Language code: RootReduce[% /. x -> Sqrt[2] + Sqrt[3]]

特性と関係  (1)

AlgebraicNumberは定義により代数的数の多項式関数である：

Wolfram Language code: a = AlgebraicNumber[Sqrt[2 + Sqrt[3]], {1, 2, 3, 4}]
Wolfram Language code: b = AlgebraicNumberPolynomial[a, x] /. x -> Sqrt[2 + Sqrt[3]]
Wolfram Language code: RootReduce[b == a]

考えられる問題  (1)

入力はAlgebraicNumberオブジェクトか有理数でなければならない：

Wolfram Language code: AlgebraicNumberPolynomial[Sqrt[2], x]
Wolfram Research (2007), AlgebraicNumberPolynomial, Wolfram言語関数， https://reference.wolfram.com/language/ref/AlgebraicNumberPolynomial.html.

テキスト

Wolfram Research (2007), AlgebraicNumberPolynomial, Wolfram言語関数， https://reference.wolfram.com/language/ref/AlgebraicNumberPolynomial.html.

CMS

Wolfram Language. 2007. "AlgebraicNumberPolynomial." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/AlgebraicNumberPolynomial.html.

APA

Wolfram Language. (2007). AlgebraicNumberPolynomial. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/AlgebraicNumberPolynomial.html

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: 16-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: 16-August-2026]}