## More Notation and Terminology

It's already been mentioned that the rectilinear coordinates of a complex number in the complex plane are called the*real part*and

*imaginary part*, respectively.

We also have special notation and various names for the

*polar coordinates*of a complex number :

*complex conjugate*of is denoted (or ) and is defined by

*vertical flip*about the real axis;

*i.e.*, complex conjugation replaces each point in the complex plane by its

*mirror image*on the other side of the axis.

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Elementary Relationships

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The Complex Plane