About: Set function

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In mathematics, especially measure theory, a set function is a function whose domain is a family of subsets of some given set and that (usually) takes its values in the extended real number line which consists of the real numbers and A set function generally aims to measure subsets in some way. Measures are typical examples of "measuring" set functions. Therefore, the term "set function" is often used for avoiding confusion between the mathematical meaning of "measure" and its common language meaning.

Attributes	Values
rdf:type	Thing disease
rdfs:label	Set function (en)
rdfs:comment	In mathematics, especially measure theory, a set function is a function whose domain is a family of subsets of some given set and that (usually) takes its values in the extended real number line which consists of the real numbers and A set function generally aims to measure subsets in some way. Measures are typical examples of "measuring" set functions. Therefore, the term "set function" is often used for avoiding confusion between the mathematical meaning of "measure" and its common language meaning. (en)
rdfs:seeAlso	Radon–Nikodym theorem
sameAs	Set function Set function
dbp:wikiPageUsesTemplate	dbt:Annotated_link dbt:Em dbt:Reflist dbt:See_also dbt:Sfn dbt:Short_description dbt:Use_American_English dbt:Visible_anchor dbt:Isbn dbt:Springer dbt:Settheory-stub dbt:Measure_theory dbt:Rudin_Walter_Functional_Analysis dbt:Sigma dbt:Kolmogorov_Fomin_Elements_of_the_Theory_of_Functions_and_Functional_Analysis dbt:Durrett_Probability_Theory_and_Examples_5th_Edition
Subject	Basic concepts in set theory Functions and mappings Measures (measure theory)
gold:hypernym	Function
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Set_function?oldid=1061671962&ns=0
Wikipage page ID	25911217 (xsd:integer)
page length (characters) of wiki page	24128 (xsd:nonNegativeInteger)
Wikipage revision ID	1061671962 (xsd:integer)
has abstract	In mathematics, especially measure theory, a set function is a function whose domain is a family of subsets of some given set and that (usually) takes its values in the extended real number line which consists of the real numbers and A set function generally aims to measure subsets in some way. Measures are typical examples of "measuring" set functions. Therefore, the term "set function" is often used for avoiding confusion between the mathematical meaning of "measure" and its common language meaning. (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Set_function
is Link from a Wikipage to another Wikipage of	Fractionally-subadditive valuation List of types of functions Caccioppoli set Choquet integral Linear utility Function (mathematics) Gaetano Fichera Inner measure Imprecise probability Lebesgue differentiation theorem Measure (mathematics)

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