# Category Archives: Engineering Mathematics

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
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
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
We strongly recommend to refer below post as a pre-requisite for this. Conditional Probability Bayes’s formula Below is Bayes’s formula. The formula provides the relationship… Read More
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
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
Union  Union of the sets A and B, denoted by A ∪ B, is the set of distinct elements that belong to set A or… Read More
LU decomposition of a matrix is the factorization of a given square matrix into two triangular matrices, one upper triangular matrix and one lower triangular… Read More
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
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
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
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