English Dictionary

Bézout's theorem

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。

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。

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.