Last Updated:2025/11/20
Sentence

講義で教授は、次数が高々nの多項式から、加法とスカラー倍の演算(標準的な公理を満たす)を備えた体上のベクトルの集合としてのベクトル空間がどのように構成されるかを示した。

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During the lecture, the professor showed how a vector space can be constructed from polynomial functions of degree at most n.

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During the lecture, the professor showed how a vector space can be constructed from polynomial functions of degree at most n.

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Related words

vector space

Noun
Japanese Meaning
数学において、ベクトルと呼ばれる要素の集合に対し、加法やスカラー倍などの演算が定義され、各種の線形性(例:分配律や結合律)や零ベクトルの存在などの条件を満たす代数的構造(線形空間)を指す。
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講義で教授は、次数が高々nの多項式から、加法とスカラー倍の演算(標準的な公理を満たす)を備えた体上のベクトルの集合としてのベクトル空間がどのように構成されるかを示した。

Related Words

plural

English - English

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