Definition 
A complex number can be expressed as: where is the imaginary unit. Both and are real numbers. They are called the real and imaginary parts of , respectively. The complex number can also be expressed in exponential and polar forms: where: In the above equations, is called the modulus of and is the argument or phase angle of . It can easily be shown that: 
Important Properties  
Arithmetic Relations:
The complex conjugates will not affect common operators: De Moivre's Theorem: Roots of Complex Numbers: where is an integer.
