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Twin Prime numbers
- 1 is neither prime nor composite. 2 is the least even prime number. 3 is the least odd prime number. If there is only one composite number between two primes,the primes said to be twin prime numbers. For example: 5 and 7 In between 5 and 7 the only one comp..
Additive identity of the Complex number
The complex number 0 + i0 is the additive identity for the set of complex numbers. 0 + i0 is called the additive identity for the complex number. Z + (0 + i 0 ) = a + i b + (0 + i 0) = (a + 0) + i (b + 0) = a + i..
Number line Notation
- Here is an example showing how to representation whole numbers on a number line. The first point is called the origin. The number 0 is marked in the origin. Indications are sequentialy made at regular intervals to the right of the point zero. The distance between zer..
Place Value of Decimal Number
decimal number - Here is an illustraion to understand the place value in decimal numbers. Let us consider a decimal number 502.71 Here the place value of given decimal number can be identified as given in the below diagra..
Properties of Complex numbers
The Properties of Complex numbers are: Commutative Law for Addition, Commutative Law for multiplication, Additive Identity Exists, Multiplicative Identity Exist, Reciprocals (Multiplicative Inverses) Exist for nonzero complex numbers, Negatives (Additive Inverses) Exist fo..
Graphical representation of Complex numbers
The complex number Z = x + iy may be represented graphically by the point P whose rectangular co-ordinates are (x, y). Thus each point in the plane is associated with a complex number..
Rational and Irrational Numbers Introduction
Introduction - The sets of numbers which every student must remember are: The set of natural numbers N = {1, 2, 3, 4, 5, } The set of whole numbers W = {0, 1, 2, 3, 4, 5,} The set of integers Z = I = {, -3, -2, -1, 0, 1, 2, 3,} The set of rational numbers Q T..
Conjugate complex numbers
If Z = a + ib is a complex number, then a - ib is called the complex conjugate of a + ib and the conjugate is denoted by..
Polar form of a Complex number
z = r{cos q +isin q } is called the polar form of the complex number. x + iy (which is in the cartesian form) where is called the modulus of the complex number z denoted by |z| and q = tan -1 y/x is called the amplitude or argument of the complex number..
Geometrical Representation of Complex Number
Geometrical representation of a Complex number, Argand diagram - Since every complex number z = x + iy is an order pair of real numbers (x, y), it can therefore be represented by a point P(x,y) in the xy plane by taking the real part along the x-axis and the imaginary ..
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