## Mathematics | Sequence, Series and Summations

SEQUENCE: It is a set of numbers in a definite order according to some definite rule (or rules). Each number of the set is called… Read More »

## Mathematics | Covariance and Correlation

Covariance and Correlation are two mathematical concepts which are commonly used in the field of probability and statistics. Both concepts describe the relationship between two… Read More »

## Discrete Mathematics | Representing Relations

Prerequisite – Introduction and types of Relations Relations are represented using ordered pairs, matrix and digraphs: Ordered Pairs – In this set of ordered pairs… Read More »

## Discrete Mathematics | Types of Recurrence Relations – Set 2

Prerequisite – Solving Recurrences, Different types of recurrence relations and their solutions, Practice Set for Recurrence Relations The sequence which is defined by indicating a… Read More »

## Inclusion-Exclusion and its various Applications

In the field of Combinatorics, it is a counting method used to compute the cardinality of the union set. According to basic Inclusion-Exclusion principle: For… Read More »

## Mathematics | Indefinite Integrals

Antiderivative – Definition :A function ∅(x) is called the antiderivative (or an integral) of a function f(x) of ∅(x)’ = f(x). Example : x4/4 is… Read More »

## Mathematics | Some theorems on Nested Quantifiers

Prerequisite – Predicates and Quantifiers – Set 1, Set 2 Quantifiers are expressions that indicate the scope of the term to which they are attached,… Read More »

## Corollaries of Binomial Theorem

The expression denotes times. This can be evaluated as the sum of the terms involving for k = 0 to n, where the first term… Read More »

## Newton’s Divided Difference Interpolation Formula

Interpolation is an estimation of a value within two known values in a sequence of values. Newton’s divided difference interpolation formula is a interpolation technique… Read More »

## Various Implicants in K-Map

Prerequisite – K – Map (Karnaugh Map) Implicant is a product/minterm term in Sum of Products (SOP) or sum/maxterm term in Product of Sums (POS)… Read More »

## Cauchy’s Mean Value Theorem

Suppose f(x) and g(x) are 2 functions satisfying three conditions: 1) f(x), g(x) are continuous in the closed interval a <= x <= b 2)… Read More »

## Activation Functions

To put in simple terms, an artificial neuron calculates the ‘weighted sum’ of its inputs and adds a bias, as shown in the figure below… Read More »

## Number of possible Equivalence Relations on a finite set

An equivalence relation is Reflexive, Symmetric and Transitive. Before counting the number of possible equivalence relations on a set |A|=n, let us see an example… Read More »

## Different Operations on Matrices

For introduction on matrices, you can refer the following article: Matrix Introduction In this article, we will discuss various operations on matrices and their properties:… Read More »

## Consensus Theorem in Digital Logic

Prerequisite – Properties of Boolean algebra, Minimization of Boolean Functions Redundancy theorem is used as a Boolean algebra trick in Digital Electronics. It is also… Read More »