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- Monotone_class_theorem abstract "In measure theory and probability, the monotone class theorem connects monotone classes and sigma-algebras. The theorem says that the smallest monotone class containing an algebra of sets G is precisely the smallest σ-algebra containing G. It is used as a type of transfinite induction to prove many other theorems, such as Fubini's theorem.".
- Monotone_class_theorem wikiPageID "4719864".
- Monotone_class_theorem wikiPageLength "3690".
- Monotone_class_theorem wikiPageOutDegree "18".
- Monotone_class_theorem wikiPageRevisionID "661838773".
- Monotone_class_theorem wikiPageWikiLink Category:Set_families.
- Monotone_class_theorem wikiPageWikiLink Category:Theorems_in_measure_theory.
- Monotone_class_theorem wikiPageWikiLink Closure_(mathematics).
- Monotone_class_theorem wikiPageWikiLink Dynkin_system.
- Monotone_class_theorem wikiPageWikiLink Field_of_sets.
- Monotone_class_theorem wikiPageWikiLink Fubinis_theorem.
- Monotone_class_theorem wikiPageWikiLink Measure_(mathematics).
- Monotone_class_theorem wikiPageWikiLink Pi_system.
- Monotone_class_theorem wikiPageWikiLink Probability_theory.
- Monotone_class_theorem wikiPageWikiLink Rick_Durrett.
- Monotone_class_theorem wikiPageWikiLink Ring_of_sets.
- Monotone_class_theorem wikiPageWikiLink Sigma-algebra.
- Monotone_class_theorem wikiPageWikiLink Subset.
- Monotone_class_theorem wikiPageWikiLink Transfinite_induction.
- Monotone_class_theorem wikiPageWikiLink WIKIPEDIA_AND_ITS_ANCESTORS:_Rethinking_Encyclopedic_Knowledge_in_the_Digital_Age_(Spring_2013).
- Monotone_class_theorem wikiPageWikiLinkText "Monotone class theorem".
- Monotone_class_theorem wikiPageWikiLinkText "monotone class theorem".
- Monotone_class_theorem wikiPageWikiLinkText "monotone".
- Monotone_class_theorem subject Category:Set_families.
- Monotone_class_theorem subject Category:Theorems_in_measure_theory.
- Monotone_class_theorem type Combinatoric.
- Monotone_class_theorem type Concept.
- Monotone_class_theorem type Theorem.
- Monotone_class_theorem comment "In measure theory and probability, the monotone class theorem connects monotone classes and sigma-algebras. The theorem says that the smallest monotone class containing an algebra of sets G is precisely the smallest σ-algebra containing G. It is used as a type of transfinite induction to prove many other theorems, such as Fubini's theorem.".
- Monotone_class_theorem label "Monotone class theorem".
- Monotone_class_theorem sameAs Q242045.
- Monotone_class_theorem sameAs Satz_über_monotone_Klassen.
- Monotone_class_theorem sameAs מחלקה_מונוטונית.
- Monotone_class_theorem sameAs m.0cjz8_.
- Monotone_class_theorem sameAs Q242045.
- Monotone_class_theorem wasDerivedFrom Monotone_class_theorem?oldid=661838773.
- Monotone_class_theorem isPrimaryTopicOf Monotone_class_theorem.