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What (who) is sard$516001$ - definition
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
Arthur Sard
AMERICAN MATHEMATICIAN (1909-1980)
Sard, Arthur
Arthur Sard (28 July 1909, New York City – 31 August 1980, Basel) was an American mathematician, famous for his work in differential topology and in spline interpolation. His fame stems primarily from Sard's theorem, which says that the set of critical values of a differential function which has sufficiently many derivatives has measure zero.
Sard Underground
JAPANESE ROCK BAND
Sard Underground discography
Sard Underground (stylized in all caps) is a Japanese musical group under the Giza Studio label. In September 2019, they debuted with their cover album Zard Tribute.
sard
![Mazda Sigma MC73 at the [[1973 24 Hours of Le Mans]]](https://commons.wikimedia.org/wiki/Special:FilePath/24H du Mans 1973 (5089529919).jpg?width=200 "Mazda Sigma MC73 at the [[1973 24 Hours of Le Mans]]")
.jpg?width=200 "SARD MC8-R at the 1996 24 Hours of Le Mans")
![Supra 90]] Complete at Suzuka Fan Thanksgiving Day 2022](https://commons.wikimedia.org/wiki/Special:FilePath/Suzuka Fan Thanksgiving Day 2022 (57) - SARD SUPRA 90 COMPLETE.jpg?width=200 "Supra 90]] Complete at Suzuka Fan Thanksgiving Day 2022")
![date=August 2019}} From [[Enkomi]]. [[British Museum]].](https://commons.wikimedia.org/wiki/Special:FilePath/Cornelian necklace BM GR1897.4-1.623.jpg?width=200 "date=August 2019}} From [[Enkomi]]. [[British Museum]].")
![title = Egyptian - Necklace}} The [[Walters Art Museum]].](https://commons.wikimedia.org/wiki/Special:FilePath/Egyptian - Necklace - Walters 571515 - Detail F.jpg?width=200 "title = Egyptian - Necklace}} The [[Walters Art Museum]].")
Cornelian; Sard; Carnelian beads; Cornelian beads; Carnelian bead; Cornelian bead; Carnelion; Carnelian Red (color); Sardine stone; Sardius
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.
