English Dictionary

Harnack's curve theorem

固有名詞

(mathematics) In real algebraic geometry, a theorem that describes the possible numbers of connected components that an algebraic curve can have, in terms of the degree of the curve.

日本語の意味

(数学) 実代数幾何学において、代数曲線の次数に基づいて、その曲線が持つ可能性のある連結成分の数を記述する定理。

In his lecture, the professor explained Harnack's curve theorem and how it determines the maximum number of connected components for a real algebraic curve of a given degree.

講義で教授は、実代数曲線に関するハルナックの定理と、それが与えられた次数の実代数曲線の連結成分の最大数をどのように決定するかを説明した。

意味（1）

(mathematics) In real algebraic geometry, a theorem that describes the possible numbers of connected components that an algebraic curve can have, in terms of the degree of the curve.