definition of real numbers


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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..
To find the logarithm of a Complex number
Let z= x + iy be a complex number. Let Z = r i q . This formula is useful for finding the logarithm of negative numbers als..
Exponential form of a Complex number
If z = x + iy then e z = e (x + iy) = e x e iy ? e z = e x {cos y + i sin y} is called the Exponential form of the Complex number..
qth roots of a Complex number
To find the q th roots of a Complex number - One of the most important applications of De Moivre's theorem is to find the q t h roots of a complex number. Let z = x + iy be a complex number. Let z = r {cos q + i sin q } be its polar form. We have z = r {cos(2n p + q ) ..
Polar form of a Complex number
Let z = x+iy denote the point P(x,y) in the xy plane. Then from the figure, we have z = r{cos q +isin q } is called the polar form of the complex number. x + iy (which is in the cartesian form) where..
Irrational numbers 1 Animation
Learn through Animation Rational and Irrational Numbers..
Exponential form of a Complex number
Exponential form of a Complex number - If z = x + iy We hav..
Properties of Complex numbers
Properties of Complex numbers - If Z, Z 1 and Z 2 are complex numbers, th..
Negative of a Complex number
If Z = a + ib, then Z is called the negative of Z. -Z = -(a + ib) = -a - ..
Product of two Complex numbers
Let Z 1 = a + ib and Z 2 = c + id, then ..
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