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- Sard's_theorem abstract "Sard's theorem, also known as Sard's lemma or the Morse–Sard theorem, is a result in mathematical analysis which asserts that the 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 has Lebesgue measure 0 – they form a null set. In particular, for real-valued functions, the set of the critical values, which belong to any bounded interval, is finite. This makes the set of critical values "small" in the sense of a generic property. It is named for Anthony Morse and Arthur Sard.".
- Sard's_theorem wikiPageExternalLink home.html.
- Sard's_theorem wikiPageID "914901".
- Sard's_theorem wikiPageRevisionID "593001894".
- Sard's_theorem hasPhotoCollection Sard's_theorem.
- Sard's_theorem subject Category:Lemmas.
- Sard's_theorem subject Category:Multivariable_calculus.
- Sard's_theorem subject Category:Singularity_theory.
- Sard's_theorem subject Category:Smooth_functions.
- Sard's_theorem subject Category:Theorems_in_analysis.
- Sard's_theorem subject Category:Theorems_in_differential_geometry.
- Sard's_theorem subject Category:Theorems_in_measure_theory.
- Sard's_theorem type Abstraction100002137.
- Sard's_theorem type Communication100033020.
- Sard's_theorem type Function113783816.
- Sard's_theorem type Lemma106751833.
- Sard's_theorem type Lemmas.
- Sard's_theorem type MathematicalRelation113783581.
- Sard's_theorem type Message106598915.
- Sard's_theorem type Proposition106750804.
- Sard's_theorem type Relation100031921.
- Sard's_theorem type SmoothFunctions.
- Sard's_theorem type Statement106722453.
- Sard's_theorem type Theorem106752293.
- Sard's_theorem type TheoremsInAnalysis.
- Sard's_theorem type TheoremsInDifferentialGeometry.
- Sard's_theorem type TheoremsInMeasureTheory.
- Sard's_theorem comment "Sard's theorem, also known as Sard's lemma or the Morse–Sard theorem, is a result in mathematical analysis which asserts that the 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 has Lebesgue measure 0 – they form a null set. In particular, for real-valued functions, the set of the critical values, which belong to any bounded interval, is finite.".
- Sard's_theorem label "Sard's theorem".
- Sard's_theorem label "Satz von Sard".
- Sard's_theorem label "Teorema de Sard".
- Sard's_theorem label "Théorème de Sard".
- Sard's_theorem label "Теорема Сарда".
- Sard's_theorem label "サードの定理".
- Sard's_theorem sameAs Satz_von_Sard.
- Sard's_theorem sameAs Teorema_de_Sard.
- Sard's_theorem sameAs Théorème_de_Sard.
- Sard's_theorem sameAs サードの定理.
- Sard's_theorem sameAs 사드의_정리.
- Sard's_theorem sameAs m.03phkx.
- Sard's_theorem sameAs Q583147.
- Sard's_theorem sameAs Q583147.
- Sard's_theorem sameAs Sard's_theorem.
- Sard's_theorem wasDerivedFrom Sard's_theorem?oldid=593001894.
- Sard's_theorem isPrimaryTopicOf Sard's_theorem.