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Matrices have a wide range of applications in various disciplines such as chemistry, Biology, Engineering, Statistics, economics, etc.
Graph theory is intimately related to many branches of mathematics. It is widely applied in subjects like, Computer Technology, Communication Science, Electrical Engineering, Physics, Architecture, Operations Research, Economics, Sociology, Genetics, etc. In the earlier stages it was called slum Topology. It also has uses in social sciences, chemical sciences, information retrieval systems, linguistics even in economics also.
A non-empty set R, equipped with two binary operations, called addition (+) and multiplication (.) is …
In calculus, the definite and indefinite integrals are the types of integration used to integrate the functions. The function can be exponential, power, logarithmic, constant, polynomial, or linear. These types of integral are used frequently to determine the area under the curve.
The simplex method is one of the most powerful and popular linear programming methods. The simplex …
Overview(Maxima and minima)- A function f(x) is said to be maximum at x = a if …
Sample space: Set of all possible outcomes of a random experiment is known as sample space and we denote it by S, and the
Pigeonhole principle-If n pigeonholes are occupied by n + 1 or more pigeons, then at least one pigeonhole is occupied by more than one pigeon.
Let X and Y are two sets. A relation f from X to Y is said to be a function if for every x ∈ X there is a unique element y ∈ Y, such that (x, y) ∈ X
The probability of an event X, such that event Y has already happened, is called conditional probability
Linear programming problems having two variables can be easily solved by a graphical method which provides a pictorial representation of the solution and we get insights into the basic concept used in solve LPP.
A Maclaurin series is a special case of Taylor series. The Taylor’s series is an expansion of a particular function about a point ‘a’.
Numerical integration is the method to calculate the approximate value of the integral by using numerical techniques.
The regula-falsi method is the oldest method of finding the approximate numerical value of a real root of an equation f(x) = 0.
The method of variation of parameters is the general method which we use to find out a particular solution of a differential equation by replacing the constants in the solution of the homogeneous differential equation by functions and evaluating these functions so that the original DE will be satisfied.
An equation consisting of a differential coefficient is called a differential equation.
The determinant of a matrix is a number that associated with the square matrix. This number may be positive, negative or zero.