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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.
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.
Two complex numbers are equal if and only if their real parts are equal and their imaginary parts are equal.