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sard$516001$ - translation to greek
THE SET OF THE CRITICAL VALUES OF A SMOOTH FUNCTION HAS MEASURE ZERO
Sard theorem; Sard lemma; Sard's lemma; Sard's Theorem; Morse-Sard theorem; Morse–Sard theorem; Morse–Sard–Federer theorem; Morse-Sard-Federer theorem
sard
n. σάρδιος λίθος
Definition
sard
n.
Carnelian, sardel, sardine, sardius, sardoin, red chalcedony.
Wikipedia
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 of critical values "small" in the sense of a generic property. The theorem is named for Anthony Morse and Arthur Sard.
