Bézout's theorem

英語（米国） (en-US) 英語（イギリス） (en-GB)

固有名詞

(mathematics) A statement in algebraic geometry concerning the number of common zeros of n polynomials in n indeterminates. In its original form, the theorem states that in general the number of common zeros equals the product of the degrees of the polynomials.

日本語の意味

数学における代数幾何の定理で、n個の不定元に対してn個の多項式が定める共通零点の数が、一般にその多項式の次数の積に等しいと述べる定理。

英語の意味

(mathematics) A statement in algebraic geometry concerning the number of common zeros of n polynomials in n indeterminates. In its original form, the theorem states that in general the number of common zeros equals the product of the degrees of the polynomials.

このボタンはなに？

In my algebraic geometry seminar, we used Bézout's theorem to count the intersection points of two projective curves.

代数幾何学のゼミで、2つの射影曲線の交点の個数を数えるためにベゾーの定理を使いました。

詳細

意味（1）

(mathematics) A statement in algebraic geometry concerning the number of common zeros of n polynomials in n indeterminates. In its original form, the theorem states that in general the number of common zeros equals the product of the degrees of the polynomials.