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Complex Numbers

The set of complex numbers, represented by the symbol is formed by all numbers that can be written in the form where and are real numbers, and is the imaginary unit. Here, is called the real part and is called the imaginary part of the complex number.
Breakdown of a complex number z=a+bi where a is the real part and b is the imaginary part; Re(z)=a, Im(z)=b.
If the number is an imaginary number. Conversely, if the number is real. Additionally, if and the number is a pure imaginary number. Both real and imaginary numbers are subsets of the complex number set.
A big set divided into two parts. The left-hand part is the Real Numbers set; the right-hand part is the Imaginary Numbers set; inside the Imaginary Numbers set, there is a small set labeled as the Pure Imaginary Numbers set.
Two complex numbers are equal if and only if their real parts are equal and their imaginary parts are equal.