iitdreams.com

Dreaming with Sharp Eyes

Posts Tagged ‘complex number’

Binomial Theorem

By admin • Mar 17th, 2008 • Category: Uncategorized

BINOMIAL THEOREM
Algebraic Identities

THE BINOMIAL THEOREM
If x, y aer two complex numbers then the binomial theorem for any positive integer index n is given by
 

(x + y) n = xn + nC1 xn-1y + nC2xn-2y2 + . . . + nCnyn

PROPERTIES OF BINOMIAL THEOREM

In a binomial expansion for any integer n there […]



Complex Numbers 2

By admin • Mar 17th, 2008 • Category: Uncategorized

COMPLEX NUMBER (2)
ARGUMENT OF A COMPLEX NUMBER

If z = x + iy denotes a complex number then its argument or amplitude is given by

 

q = tan-1 x/y

We can see that argument of complex number 0 is not defined. The argument of a complex number is not unique, i.e. if q is the value of the […]



Complex Numbers

By admin • Mar 17th, 2008 • Category: Uncategorized

ALGEBRA OF COMPLEX NUMBERS
What is a complex number?
A complex number can be described as a number of the form x + iy where a and b are real numbers and i is given by root of -1 (i.e.-11/2). A complex number is denoted by z (i.e. z = x +iy), and the real part of […]