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Concept information

Preferred term

Sard's theorem  

Definition

  • 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 (that is, the image of the set of critical points) 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.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Sard%27s_theorem)

Synonym(s)

  • Morse-Sard theorem
  • Sard's lemma

In other languages

URI

http://data.loterre.fr/ark:/67375/PSR-HV084N3C-L

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