Family of sets
In set theory and related branches of mathematics, a collection F of subsets of a given set S is called a family of subsets of S, or a family of sets over S. More generally, a collection of any sets whatsoever is called a family of sets or a set-family or a set-system. The term "collection" is used here because, in some contexts, a family of sets may be allowed to contain repeated copies of any given member, and in other contexts it may form a proper class rather than a set. A finite family of subsets of a finite set S is also called a hypergraph.
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Family of sets
In set theory and related branches of mathematics, a collection F of subsets of a given set S is called a family of subsets of S, or a family of sets over S. More generally, a collection of any sets whatsoever is called a family of sets or a set-family or a set-system. The term "collection" is used here because, in some contexts, a family of sets may be allowed to contain repeated copies of any given member, and in other contexts it may form a proper class rather than a set. A finite family of subsets of a finite set S is also called a hypergraph.
has abstract
Eine Mengenfamilie ist ein Beg ...... er Wahrscheinlichkeitstheorie.
@de
In de verzamelingenleer en aan ...... lie van verzamelingen genoemd.
@nl
In set theory and related bran ...... S is also called a hypergraph.
@en
Na teoria dos conjuntos e ramo ...... própria em vez de um conjunto.
@pt
Rodzina zbiorów – wygodniejsza ...... a skończoną liczbę elementów).
@pl
Множина — одне з ключових понять математики, зокрема, теорії множин і логіки.
@uk
在集合论和有关的数学分支中，给定集合S 的子集的类F 叫做S 的子集族（或称S 上的集合族）。更一般的说，无论什么任何集合的类都叫做集合族。
@zh
数学の集合論関連分野における集合族（しゅうごうぞく、英: f ...... 族は特にと呼ぶ（族 (数学)および列 (数学)の項も参照）。
@ja
수학에서, 집합족(集合族, 영어: family of sets)은 집합들을 원소로 하여 구성된 집합이다.
@ko
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Eine Mengenfamilie ist ein Beg ...... er Wahrscheinlichkeitstheorie.
@de
In de verzamelingenleer en aan ...... lie van verzamelingen genoemd.
@nl
In set theory and related bran ...... S is also called a hypergraph.
@en
Na teoria dos conjuntos e ramo ...... própria em vez de um conjunto.
@pt
Rodzina zbiorów – wygodniejsza ...... a skończoną liczbę elementów).
@pl
Множина — одне з ключових понять математики, зокрема, теорії множин і логіки.
@uk
在集合论和有关的数学分支中，给定集合S 的子集的类F 叫做S 的子集族（或称S 上的集合族）。更一般的说，无论什么任何集合的类都叫做集合族。
@zh
数学の集合論関連分野における集合族（しゅうごうぞく、英: f ...... 族は特にと呼ぶ（族 (数学)および列 (数学)の項も参照）。
@ja
수학에서, 집합족(集合族, 영어: family of sets)은 집합들을 원소로 하여 구성된 집합이다.
@ko
label
Familie van verzamelingen
@nl
Family of sets
@en
Família de conjuntos
@pt
Mengenfamilie
@de
Rodzina zbiorów
@pl
Семейство множеств
@ru
Сімейство множин
@uk
集合族
@ja
集合族
@zh
집합족
@ko