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Groups|Discrete Mathematics
March 8, 2017

Algebraic Structure A non empty set S is called an algebraic structure w.r.t binary operation (*) if (a*b) belongs to S for all (a*b) belongs… Read More »

March 8, 2017

Algebraic Structure A non empty set S is called an algebraic structure w.r.t binary operation (*) if (a*b) belongs to S for all (a*b) belongs… Read More »

February 14, 2017

A matrix represents a collection of numbers arranged in an order of rows and columns. It is necessary to enclose the elements of a matrix… Read More »

January 20, 2017

Previously, we have already discussed Relations and their basic types. Combining Relation: Suppose R is a relation from set A to B and S is… Read More »

January 17, 2017

Relation or Binary relation R from set A to B is a subset of AxB which can be defined as aRb <=> (a,b) € R… Read More »

Trace of a matrix : Let A=[aij] nxn is a square matrix of order n, then the sum of diagonal elements is called the… Read More »

Random variable is basically a function which maps from the set of sample space to set of real numbers. The purpose is to get an… Read More »

A function f from A to B is an assignment of exactly one element of B to each element of A (A and B are… Read More »

March 23, 2016

Suppose that a flock of 20 pigeons flies into a set of 19 pigeonholes to roost. Because there are 20 pigeons but only 19 pigeonholes,… Read More »

February 27, 2016

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 »

August 28, 2015

We know sum squares of first n natural numbers is n(n+1)(2n+1)/6. How to compute sum of squares of first n even natural numbers?

August 14, 2015

We strongly recommend to refer below post as a per-requisite for this. Conditional Probability

August 13, 2015

Conditional probability P(A | B) indicates the probability of even ‘A’ happening given that the even B happened.

July 10, 2015

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 »