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Vector measure

In mathematics, a vector measure is a function defined on a family of sets and taking vector values satisfying certain properties. It is a generalization of the concept of finite measure, which takes nonnegative real values only.

Lyapunov's theorem, Definitions and first consequences & Examples

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Lyapunov's theorem

13 related topics

Definitions and first consequences

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Examples

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The variation of a vector measure

2 related topics

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Definitions and first consequences

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The variation of a vector measure

Lyapunov's theorem

Bibliography

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Vector measure

Nodes48
Edges47
Triples54
Avg. degree1.96
Density0.041667
Components1

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Vector measure

Top relations

related to Bibliography · 33
Vector measure → American Mathematical Society, Amsterdam, Basel, Birkhäuser Verlag, Boston, Cohn, Control Systems, Diestel, Donald, Dulst, EMS PressRudin, Encyclopedia, Functional, ISBN, IX, Jerry, Joe, Jr, Kluvánek, Knowles
related to The variation of a vector measure · 7
Vector measure → Given, Here, If, It, Omega, One, The
related to Lyapunov's theorem · 5
Vector measure → Folkman, In, It, Lyapunov's, Shapley
related to Examples · 4
Vector measure → Consider, Depending, For, Lebesgue
related to Definitions and first consequences · 3
Vector measure → Banach, Given, Omega
is a · 2
Vector measure → function defined on a family of sets and taking vector values satisfying certain properties, zonoid

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Important terminology

measure vector displaystyle mu function mathcal values measures additive sets variation mathematics infty finite real one countably defined taking sequence

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Vector measureis afunction defined on a family of sets and taking vector values satisfying certain properties0.90text
Vector measureis azonoid0.90text
Vector measurerelated to BibliographyCohn0.60section
Vector measurerelated to BibliographyDonald0.60section
Vector measurerelated to BibliographyMeasure0.60section
Vector measurerelated to BibliographyBoston0.60section
Vector measurerelated to BibliographyBasel0.60section
Vector measurerelated to BibliographyStuttgart0.60section
Vector measurerelated to BibliographyBirkhäuser Verlag0.60section
Vector measurerelated to BibliographyIX0.60section
Vector measurerelated to BibliographyISBN0.60section
Vector measurerelated to BibliographyZbl0.60section

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