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Elem. Set Theory
As of mathsisfun.com and efgh.com.
Term | Definition |
---|---|
Set | Collection of items considered as a whole |
Elements | Items in a set |
Contained in | ∈ |
Not contained in | ∉ |
Null | ∅ |
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 | ⊂ |
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 |