set theory


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Sets
Introduction - In Mathematics, a well-defined collection of definite objects is called a set. George Cantor is regarded as the "Father of Set theory". The concept of "Sets" is basic in all branches of mathematic..
Set
A well-defined collection of distinct objects is called a set..
Sets
Learn through Animation Sets..
Sets
Learn through Animation ..
Application of sets
The theory of finite sets is, arguably, a definition of Combinatorics. In particular, certain combinatorial topics (e.g. Ramsey theory) have important direct analogues in "combinatorial" set theory. Since Axiomatic Set Theory..
Universal Set
In any application of the theory of sets, the members of all sets under consideration usually belong to some fixed large set called the universal set. Usually we denote the universal set by the letter..
Operations on Sets
Union of sets - If two sets are given, a set can be formed by using all the elements of the two sets. Such a collection is called the union of the given sets..
Intersection of sets
A set can be formed by using all the common elements of two given sets. Such a collection is called the intersection of the given sets..
Representation of Sets
There are two methods of representing a set. (i) Roster Method (ii) Set builder fo..
Notation of Sets
Capital letters are usually used to denote or represent a set. viz., A, B, C, D, . . . . The elements of sets are usually represented by lower case letters. viz., a, b, c, x, y, . ..
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