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- Indexed_family abstract "In mathematics, an indexed family is a collection of values that are associated with indexes. For example, a family of real numbers, indexed by the integers is a collection of real numbers, where each integer is associated with one of the real numbers.Formally, an indexed family is the same thing as a function. A function with domain J and codomain X is equivalent to a family of elements of X indexed by elements of J. The only difference is that indexed families are thought of as collections instead of as functions. A value is considered to be an element of a family whenever it is an element of the image of the family's underlying function.When a function f : J → X is treated as a family, J is called the index set of the family, the functional image f(j) for j ∈ J is denoted xj, and the mapping f is denoted {xj}j∈J or simply {xj}.Next, if the set X is the power set of a set U, then the family {xj}j∈J is called a family of sets indexed by J .".
- Indexed_family wikiPageID "23624339".
- Indexed_family wikiPageRevisionID "540238673".
- Indexed_family hasPhotoCollection Indexed_family.
- Indexed_family subject Category:Basic_concepts_in_set_theory.
- Indexed_family subject Category:Mathematical_notation.
- Indexed_family type Abstraction100002137.
- Indexed_family type BasicConceptsInSetTheory.
- Indexed_family type Cognition100023271.
- Indexed_family type Concept105835747.
- Indexed_family type Content105809192.
- Indexed_family type Idea105833840.
- Indexed_family type PsychologicalFeature100023100.
- Indexed_family comment "In mathematics, an indexed family is a collection of values that are associated with indexes. For example, a family of real numbers, indexed by the integers is a collection of real numbers, where each integer is associated with one of the real numbers.Formally, an indexed family is the same thing as a function. A function with domain J and codomain X is equivalent to a family of elements of X indexed by elements of J.".
- Indexed_family label "Famiglia (matematica)".
- Indexed_family label "Familia de conjuntos".
- Indexed_family label "Familie (Mathematik)".
- Indexed_family label "Famille (mathématiques)".
- Indexed_family label "Família indexada".
- Indexed_family label "Geïndexeerde familie".
- Indexed_family label "Indexed family".
- Indexed_family label "Rodzina indeksowana".
- Indexed_family label "族 (数学)".
- Indexed_family sameAs Familie_(Mathematik).
- Indexed_family sameAs Familia_de_conjuntos.
- Indexed_family sameAs Famille_(mathématiques).
- Indexed_family sameAs Famiglia_(matematica).
- Indexed_family sameAs 族_(数学).
- Indexed_family sameAs Geïndexeerde_familie.
- Indexed_family sameAs Rodzina_indeksowana.
- Indexed_family sameAs Família_indexada.
- Indexed_family sameAs m.04gfh5.
- Indexed_family sameAs Q856215.
- Indexed_family sameAs Q856215.
- Indexed_family sameAs Indexed_family.
- Indexed_family wasDerivedFrom Indexed_family?oldid=540238673.
- Indexed_family isPrimaryTopicOf Indexed_family.