萨尔德定理
Sard's theorem
theorem that the set of the critical values of a smooth function has measure zero
In mathematics, Sard's theorem, also known as Sard's lemma or the Morse–Sard theorem, is a result in mathematical analysis that asserts that the set of critical values of a smooth function f from one Euclidean space or manifold to another is a null set, i.e., it has Lebesgue measure 0. This makes the set of critical values "small" in the sense of a generic property. The theorem is named for Anthony Morse and Arthur Sard.
摘自英文维基百科「Sard's theorem」(英文维基百科,暂无中文条目),CC BY-SA 4.0
- 类型
- 定理
- 命名来源
- Anthony Morse、Arthur Sard
- 属于
- 数学定理列表
- 研究学科
- 微积分
- 学科
- 数学