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Sets are defined as a collection of distinct elements. The elements of a set share a common characteristic among them. Learn about sets definition, representation, types, symbols, formulas, and their properties with some solved examples.
Understanding the Context
If A and B are two sets and at least one element from A is present in B or vice versa, then the two sets A and B are said to be overlapping. For example, if A = {1, 2, 3, 4} and B = {3, 4, 5, 6, 7}, then elements 3 and 4 are common in both sets A and B. In mathematics, a set is a collection of different things, called elements or members of the set. A set may also be called a collection or family, especially when its elements are themselves sets; this may avoid confusion between the set and its members.
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Key Insights
Sets are used to store multiple items in a single variable. Set is one of 4 built-in data types in Python used to store collections of data, the other 3 are List, Tuple, and Dictionary, all with different qualities and usage. This section shows how to work with sets in different programming languages like C++, Python, C#, and JavaScript, using built-in set data structures and operations. Sets may be thought of as a mathematical way to represent collections or groups of objects. The concept of sets is an essential foundation for various other topics in mathematics.
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German mathematician G. Cantor introduced the concept of sets. He had defined a set as a collection of definite and distinguishable objects selected by the means of certain rules or description.