definitions of set

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..

A well-defined collection of distinct objects is called a set..

Sets..

..

Intersection of two sets A and B is a set whose elements belong to both A and B. ..

Let (B, +, ., ', 0, 1) be a Boolean algebra where B is a non-empty set, '+' and '.' are binary operations, ' is a unary operation with two special elements 0 (Zero element) and 1 (unit element). Let x 1 , x 2 , x 3 .x n are in B. Then Boolean expression in x 1 , x 2 , x 3 . x n are def..

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 mathematics. It has proved to be of particular importance ..

Summary - A well-defined collection of definite objects is called a set. In roster method of representing a set, all the elements are listed in the set. In property method of representing a set, all the elements are represented by stating all the properties w..

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..

The Operations on Sets are: Union of sets, Intersection of sets, Disjoint sets, Difference of two sets (Relative complement), Symmetric Difference of two sets, Complement of a set..