x is called a real part of z, and we write x = Re(z).

y is called an imaginary part of z, and we write y = Im(z).

j is called an imaginary unit, sometimes expressed as .

As we will soon see, there are several equivalent representations of complex numbers. The representation in Eq. (6.1) is called the rectangular form.

When dealing with complex numbers, it is often expedient to represent them graphically. We can easily do that in a complex plane using a Cartesian coordinate system, where the x axis is the real axis and the y axis is the imaginary axis, as shown in Figure 6.1.

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