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Category Archives: Engineering Mathematics

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
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

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