Sets, Relations, and Functions

Let us start with the definition of universal set and complement set in much more detail. Universal Set can be defined as a particular set that comprises all the elements of the associated sets and the elements in the Universal Set are not repeated on the other hand complement sets consist of all such elements […]

Power Set Introduction The power set is defined as the set of all subsets for any given set, including the empty set, which is denoted by {}, or, ϕ. A set that has ‘n’ elements can have a total of 2nsubsets. For instance, let Set A = {1,2,3}, therefore, the total number of elements in set

A power set is a set that contains all of the subsets of a particular set, as well as the empty set. In mathematical notation, a power set is represented by the notation P(S), and the number of items in a power set is represented by the number 2n. A power set may be thought

A set is a group of well specified things. Only on the basis of simplicity are the objects in a set considered distinct. A family or collection of sets is another term for a group of sets. For example, suppose we had a set family consisting of A1, A2, A3,….. up to An, which we

There are numerous categories of sets. This article concerns itself with the specificities of Finite sets and, in turn, infinite sets. But it also makes the general idea of sets and their basic categories clear. Set theory is a relatively new chapter in mathematics and is still in the process of building. The preliminary idea

The Cartesian product of two sets A and B, designated A B, is the set of all ordered pairs (a, b) where is in A and b is in B. In mathematics, specifically set theory, the Cartesian product of two sets A and B, called A B, is the set of all ordered pairs (a,

Set is an important concept of Mathematics. It gives us logical knowledge of Mathematics. We are going to study the bounded set. In this article, we will discuss in detail the bounded set.  Bounded Set A set is called bounded if it has a finite size. If a set is consisting both upper and lower

Introduction Algebraic properties are some rules that are needed to solve problems. Algebraic properties of sets contain various rules that one needs to remember. Based on these rules, various mathematical problems and their solutions are there. Using these rules and properties, you will be able to understand the logic behind many set problems. Concepts of

Introduction Algebraic properties are some rules that are needed to solve problems. Algebraic properties of sets contain various rules that one needs to remember. Based on these rules, various mathematical problems and their solutions are there. Using these rules and properties, you will understand the logic behind many set problems. Sets in real life Let us now see

In mathematics, what is a subset? Consider the following real-world example: Assume you have hundreds of music on your iPod. If someone just wants to listen to rock tunes, they can make a playlist on their iPod that exclusively contains rock songs. This playlist is a subset of the music already on the iPod. A