math definitions





Definition
Let R i denotes the i t h row of the matrix A = [a i j ] then the elementary row operations on the matrix A are defined as: 3. R i g R i + kR j means multiply each element of j t h row by k and add it to the corresponding elements of i t h row. The corresponding column transformatio..
Definition:
Intersection of two sets A and B is a set whose elements belong to both A and B. ..
Definition
The figure is a unit circle, with origin O as centre cuts the x-axis at A (1,0) and let a variable point moving on the circumference move through an arc length q . i.e., AP = p( q ). The coordinates at the position of p( q ) are p(x,y) = (cos q , sin q ). Then the tangent function is defined ..
Definition
Let R i denotes the i t h row of the matrix A = [a i j ] then the elementary row operations on the matrix A are defined as: 3. R i g R i + kR j means multiply each element of j t h row by k and add it to the corresponding elements of i t h row. The corresponding column transformatio..
Definition
When two straight lines meet at a point they form an angle. The point at which the arms meet (O) is known as the vertex of the angle. The amount of turning from one arm (OA) to other (OB) is called the measure of the angle ( AOB) and written as m AOB. An angle is measured in degrees,..
Definition:
An equation involving independent variables dependent variable and their derivatives is called a differential equatio..
Definition:
"The point of concurrency of the angle bisectors of the angles of triangle, is called the incentre". It is abbreviated as 'I'. To determine the incentre of a triangle, it is just sufficient to find the point of intersection of its two angles. The third angle bisector is bound to pass through it by ..
Definition
A function f(x) is called periodic if there exists a non zero number p such that f(x+p) is defined and f (x+p) = f(x) for all values of x in the domain of f(x). The number p is called the period of f(x). The function sinx has periods 2 p , 4 p ,6 p ,....since sin (x+2 p ), sin (x+4 p ), sin (x+6 p..
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