Complex numbers

What are they?

A complex number is a number with two parts, a REAL part and an IMAGINARY part. Usually you can see a complex number like a couple of ciphers, one multiplicated by a letter i or J.

For example: 13 + i4, or 1+J2 are two complex numbers. The first has 13 in this real part and 4 for imaginary part. The second complex number is build by a real number, 1, and an imaginary number, 2.

You can also see this: Re{13+4i}=13, Im{13+4i}=4.

The i or J is a non existing number, and mark all the imaginary numbers. J = radix(-1). In fact a property of imaginary numbers is that after a multiplication, radix(-1) * radix(-1) = -1 then, for example:

4J * 4J = -8

Polar representation

In a plane we can introduce polar coordinates, and a complex number can be represented in this way. It's useful when we work with powers.

Module of complex number:

Phase of complex number:

Roots of complex numbers

We calculates the root 'n' of number