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COMPUTATIONAL MATHEMATICS - SET THEORY
· A set can be defined as a collection of things that are brought together because they obey a certain rule. · These 'things' may be anything you like: numbers, people, shapes, cities, bits of text ..., literally anything. TYPES OF SETS · Universal Set - The set of all the 'things' currently under discussion is called the universal set (or sometimes, simply the universe). It is denoted by U. · Singleton Set : A set which contains only one element is called a singleton set. For example: • A = {x : x is neither prime nor composite} It is a singleton set containing one element, i.e., 1. • B = {x : x is a whole number, x < 1} This set contains only one element 0 and is a singleton set. • Let A = {x : x ∈ N and x ² = 4} Here A is a singleton set because there is only one...
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