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Null set

In mathematical analysis, a null set in R {\displaystyle \mathbb {R} } is a Lebesgue measurable set of real numbers that has measure zero. This can be characterized as a set that can be covered by a countable union of intervals of arbitrarily small total length.

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Overview

Examples

Definition for Lebesgue measure

Measure-theoretic properties

Uses

Haar null sets

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Map overview Semantic statistics

Null set

Nodes72
Edges71
Triples39
Avg. degree1.97
Density0.027778
Components1

How this topic connects Entity context

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Null set

Top relations

related to A subset of the Cantor set which is not Borel measurable · 15
Null set → Because, Borel, Cantor, First, Furthermore, Hence, However, Lebesgue, Let, Obviously, One, Since, The Borel, Therefore, We
related to Haar null sets · 6
Null set → Banach, Borel, Haar, In, The, When
related to Examples · 5
Null set → Cantor's, Every, For, It, The Cantor
related to Uses · 5
Null set → Any, Borel, Lebesgue, Null, This
related to Measure-theoretic properties · 4
Null set → Any, Let, Sigma, We
related to Definition for Lebesgue measure · 3
Null set → Euclidean, Lebesgue, The Lebesgue
is a · 1
Null set → set S

Important terminology Word statistics

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Important terminology

displaystyle null set measure sets lebesgue mathbb zero mu measurable numbers subset countable real complete subsets example definition borel cantor

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Null setis aset S0.90text
Null setrelated to A subset of the Cantor set which is not Borel measurableThe Borel0.60section
Null setrelated to A subset of the Cantor set which is not Borel measurableOne0.60section
Null setrelated to A subset of the Cantor set which is not Borel measurableCantor0.60section
Null setrelated to A subset of the Cantor set which is not Borel measurableBorel0.60section
Null setrelated to A subset of the Cantor set which is not Borel measurableSince0.60section
Null setrelated to A subset of the Cantor set which is not Borel measurableLebesgue0.60section
Null setrelated to A subset of the Cantor set which is not Borel measurableFirst0.60section
Null setrelated to A subset of the Cantor set which is not Borel measurableLet0.60section
Null setrelated to A subset of the Cantor set which is not Borel measurableObviously0.60section
Null setrelated to A subset of the Cantor set which is not Borel measurableHence0.60section
Null setrelated to A subset of the Cantor set which is not Borel measurableWe0.60section

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