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Elem. Set Theory

As of mathsisfun.com and efgh.com.

Set Collection of items considered as a whole
Elements Items in a set
Contained in
Not contained in
Subset Every item that is in A is in B
Such that |
Intersection The number of elements that two sets have in common, ∩
Proper subset
Union All of the elements that are present, ∪
Disjoint No elements in common
Venn diagram Sets are represented as the interiors of overlapping circles
Minus -
Ordered pair Two elements in a specified order
Cross product The set of ordered pairs whose first and second elements are part of A and B, respectively
Relation Set of ordered pairs of elements of A
Obey relation ~
Equivalence Two sets are reflexive, symmetric, and transitive
Reflexive a~a
Symmetric a~b means that b~a
Transitive a~b and b~c means that a~c
Partition Subsets are disjoint and union is A
Equivalence classes The sets in a partition associated with an equivalence relation
Created by: Jiboo221