Indexed family
In mathematics, an indexed family is a collection of values associated with indices. 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. When a function f : J → X is treated as a family, J is called the index set of the family, the function 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 .
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Indexed family
In mathematics, an indexed family is a collection of values associated with indices. 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. When a function f : J → X is treated as a family, J is called the index set of the family, the function 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 .
has abstract
Der Begriff der Familie wird i ...... tem), oder eine Mengenfamilie.
@de
En matemáticas una familia de ...... ñado de una notación distinta.
@es
En mathématiques, la notion de ...... » ou « famille génératrice ».
@fr
In de verzamelingenleer, een d ...... zamelingen geïndexeerd door J.
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In matematica, una famiglia è ...... funzione suriettiva ι: I → X.
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In mathematics, an indexed fam ...... family of sets indexed by J .
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Na matemática, uma família ind ...... ente uma família de conjuntos.
@pt
Rodzina indeksowana, układ ind ...... ma przypisaną do niej prostą.
@pl
数学における族（ぞく、family）は、添字付けされた元（要 ...... て、点族、集合族（集合系）、関数族（関数系）などと呼ばれる。
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Wikipage page ID
23,624,339
Wikipage revision ID
687,568,222
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comment
Der Begriff der Familie wird i ...... durch den Index unterscheiden.
@de
En matemáticas una familia de ...... ñado de una notación distinta.
@es
En mathématiques, la notion de ...... » ou « famille génératrice ».
@fr
In de verzamelingenleer, een d ...... zamelingen geïndexeerd door J.
@nl
In matematica, una famiglia è ...... un insieme di indici ordinato.
@it
In mathematics, an indexed fam ...... family of sets indexed by J .
@en
Na matemática, uma família ind ...... ente uma família de conjuntos.
@pt
Rodzina indeksowana, układ ind ...... ma przypisaną do niej prostą.
@pl
数学における族（ぞく、family）は、添字付けされた元（要 ...... て、点族、集合族（集合系）、関数族（関数系）などと呼ばれる。
@ja
label
Famiglia (matematica)
@it
Familia de conjuntos
@es
Familie (Mathematik)
@de
Famille (mathématiques)
@fr
Família indexada
@pt
Geïndexeerde familie
@nl
Indexed family
@en
Rodzina indeksowana
@pl
族 (数学)
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