Introduction of Baire Category Theorem :Baire’s category theorem, often known as Baire’s theorem and the category theorem, is a conclusion in analysis and set theory… Read More

# Category Archives: Engineering Mathematics

Prerequisite – Group Isomorphism : For two groups (G,+) and (G’,*) a mapping f : G → G’ is called isomorphism if f is one-one f… Read More

Prerequisite : Knowledge of Groups, Cosets. Introduction :We can say that “o” is the binary operation on set G if : G is an non-empty… Read More

Prerequisite : Groups Homomorphism : A mapping (function) f from a group (G,*) to a group (G’,+) is called a group homomorphism (or group morphism)… Read More

Introduction :We can say that “o” is the binary operation on set G if : G is an non-empty set & G * G =… Read More

This article focuses on discussing in detail the proof of why the square of an odd integer is always an odd number. Odd Number:A number… Read More

In this article, we shall look at some very basic ideas about the Real Analysis, i.e. the study of the structure of Real Number System.… Read More

In this article, we will discuss the overview of layman’s terms, Murphy’s law, and then we will mainly focus on proof and explanations and will… Read More

In this article, we will discuss the overview of Chebyshev’s inequality algorithm, and will cover the Understanding Chebyshev’s inequality with an example. Pre-requisite is to… Read More

Student’s t-test or t-test is the statistical method used to determine if there is a difference between the means of two samples. The test is… Read More

In this article, we will discuss the overview of the Markov theorem and also will discuss the expression of the Markov theorem, and finally concluded with an… Read More

Set : Set is a collection of well-defined objects or elements. A set is represented by a capital letter. The number of elements in the finite… Read More

To Prove : The order of every element of a finite group is finite and is less than or equal to the order of the group. … Read More

As we all know about the topic of complex numbers, we are familiar with the term iota (i), where i = √(-1). A question arises… Read More

To Prove :Every subgroup of a cyclic group is cyclic. Cyclic Group :It is a group generated by a single element, and that element is… Read More