## Mathematics | Lagrange’s Mean Value Theorem

Suppose be a function satisfying three conditions: 1) f(x) is continuous in the closed interval a ≤ x ≤ b 2) f(x) is differentiable in… Read More »

## Mathematics | Rolle’s Mean Value Theorem

Suppose f(x) be a function satisfying three conditions: 1) f(x) is continuous in the closed interval a ≤ x ≤ b 2) f(x) is differentiable… Read More »

## Mathematics | Eigen Values and Eigen Vectors

Eigen vector of a matrix A is a vector represented by a matrix X such that when X is multiplied with matrix A, then the… Read More »

## Mathematics | Sum of squares of even and odd natural numbers

We know sum squares of first n natural numbers is . How to compute sum of squares of first n even natural numbers? We need… Read More »

## Bayes’s Theorem for Conditional Probability

We strongly recommend to refer below post as a per-requisite for this. Conditional Probability Bayes’s formula Below is Bayes’s formula. The formula provides relationship between… Read More »

## Mathematics | Conditional Probability

Conditional probability P(A | B) indicates the probability of event ‘A’ happening given that event B happened. We can easily understand the above formula using… Read More »

## Mathematics | Mean, Variance and Standard Deviation

Mean is average of a given set of data. Let us consider below example These eight data points have the mean (average) of 5:  … Read More »

## Mathematics | Set Operations (Set theory)

Union Union of the sets A and B, denoted by A ∪ B, is the set of distinct element belongs to set A or set… Read More »

## Mathematics | L U Decomposition of a System of Linear Equations

L U decomposition of a matrix is the factorization of a given square matrix into two triangular matrices, one upper triangular matrix and one lower… Read More »

## Mathematics | Introduction of Set theory

A Set is an unordered collection of objects, known as elements or members of the set. An element ‘a’ belong to a set A can… Read More »

## Mathematics | Predicates and Quantifiers | Set 1

Prerequisite : Introduction to Propositional Logic Introduction Consider the following example. We need to convert the following sentence into a mathematical statement using propositional logic… Read More »

## Mathematics | Propositional Equivalences

Introduction Two logical expressions are said to be equivalent if they have the same truth value in all cases. Sometimes this fact helps in proving… Read More »

## Mathematics | Introduction to Propositional Logic | Set 1

What is Logic? Logic is the basis of all mathematical reasoning, and of all automated reasoning. The rules of logic specify the meaning of mathematical… Read More »