Complex Number Definition
A complex number is defined as any number with both real and imaginary components. A few examples of this are below...
1 + 2j 2 + 3j
Where 'j' is equal to the square root of negative one. To separate real and imaginary parts, the following convention is generally used.
Re(1+2j) = 1 Im(1+2j) = 2
Notice, the imaginary part of (1 + 2j) is only equal to the coefficient of the 'j term.'
Examples With Imaginary Numbers
A few imporant properties of imaginary numbers are shown below.
$ j = sqrt(-1) $ $ j^2 = -1 $ $ j^3 = -j $ $ j^4 = 1 $
As can be seen above, j^n is a repeating function.
