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Definition of Null set
1. Noun. A set that is empty; a set with no members.
Definition of Null set
1. Noun. (mathematics) negligible set (in measure theory, a set which is negligible for the purposes of the measure in question) ¹
2. Noun. (set theory) A less common name for the '''empty set'''. ¹
¹ Source: wiktionary.com
Lexicographical Neighbors of Null Set
Literary usage of Null set
Below you will find example usage of this term as found in modern and/or classical literature:
1. Lectures on the Theory of Functions of Real Variables by James Pierpont (1912)
"The divisor of 2Ie, 93, is not a null set. Hence by 372, 21, 53 are not separated.
Thus the condition that 35 be a null set is necessary, but not sufficient ..."
2. Invariant Measures on Groups and Their Use in Statistics by Robert A. Wijsman (1990)
"A null set is a subset of X whose indicator is a null function. ... By the
definition of null set, a subset of a null set is also a null set. ..."
3. Bulletin of the American Mathematical Society by American Mathematical Society (1919)
"Making use of the remark at the end of the footnote, we can prove that, except
possibly for a set of z-points of Borel measure zero (null set), ..."
4. The Cambridge Colloquium 1916 by Griffith Conrad Evans, Oswald Veblen (1918)
"... except possibly those of a null set. Hence if y[C] is an absolutely continuous
additive functional it will have a derivative (unrestricted), ..."
5. Colloquium Lectures by American Mathematical Society (1918)
"As such, however, it will have a generalized derivative at all points except
possibly those of a null set. Hence if y\C] is an absolutely continuous ..."
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