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Sard's theorem

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…

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Sard's theorem

Nodes33
Edges32
Triples2
Avg. degree1.94
Density0.060606
Components1

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Sard's theorem

Top relations

related to Idea of the proof · 2
Sard's theorem → Sard's, Since

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Important terminology

set critical displaystyle measure theorem one points image zero values many derivatives order small morse sard vanish map smooth euclidean

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SubjectPredicateObjectConfidenceSrc
Sard's theoremrelated to Idea of the proofSard's0.60section
Sard's theoremrelated to Idea of the proofSince0.60section

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