Cardinality
Cardinality is the number of elements in a finite set.
Definition · Example · CSE Use →Set Theory
Definitions, examples and Computer Science applications for this mathematics subject.
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Cartesian Product
The Cartesian product A × B is the set of all ordered pairs with first component from A and second from B.
Definition · Example · CSE Use →Complement
The complement of a set contains elements in the universal set that are not in the set.
Definition · Example · CSE Use →Disjoint Sets
Two sets are disjoint when they have no elements in common.
Definition · Example · CSE Use →Element
An element is an individual object that belongs to a set.
Definition · Example · CSE Use →Empty Set
The empty set is the unique set that contains no elements.
Definition · Example · CSE Use →Intersection
The intersection of two sets contains elements common to both sets.
Definition · Example · CSE Use →Power Set
The power set of A is the set of all subsets of A.
Definition · Example · CSE Use →Proper Subset
A proper subset contains only elements of another set but is not equal to that set.
Definition · Example · CSE Use →Set
A set is a well-defined collection of distinct objects called elements.
Definition · Example · CSE Use →Set Difference
The set difference A − B contains elements in A that are not in B.
Definition · Example · CSE Use →Subset
A set A is a subset of B when every element of A is also an element of B.
Definition · Example · CSE Use →Union
The union of two sets contains every element that appears in either set.
Definition · Example · CSE Use →Universal Set
The universal set contains all objects under consideration in a particular context.
Definition · Example · CSE Use →Venn Diagram
A Venn diagram uses overlapping regions to visualize sets and their relationships.
Definition · Example · CSE Use →