In computer science, a set is an abstract data type that represents a collection of distinct (unique) elements. It is a fundamental concept in mathematics and computer science, and sets are widely used in algorithms, data structures, and programming languages.
A set typically has three basic operations: adding an element, removing an element, and testing for element membership. Sets can be implemented in various ways, including arrays, linked lists, and hash tables.
In addition to the basic set operations, various other set operations can be performed, such as union (combining two or more sets into a single set), intersection (finding elements common to two sets), and difference (finding elements in one set that are not in another set).
Set theory, the mathematical study of sets, has applications in various fields, including computer science, logic, and linguistics. Sets are used in the design and analysis of algorithms, data structures, and programming languages. They are also used in database management systems, where sets of records or data items can be queried and manipulated.
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