# Complex Number

Robert P. Munafo, 2002 May 29.

A value a + b i consisting of a real number added to an imaginary number. The complex numbers are a generalized superset of the reals in which any exponent, root or logarithm is permissable (with the exception of extreme cases like taking the 0

^{th}root or the logarithm to base 1). See the complex math article for details.

Complex numbers are often represented as points on a plane, with coordinates a and b. The real axis is oriented horizontally with positive numbers to the right, and the imaginary axis runs vertically. Complex numbers are also sometimes treated as having polar coordinates (radius and angle).

From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo, (c) 1987-2023.

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