A complex number consists of a real and imaginary number. An imaginary number is any multiple of the square root of -1, i.

A complex number can be expressed in its most basic form as the sum of it's two counterparts, for example 3 + 8i.

This rectangular notation can be converted to polar coordinates as well.

Polar coordinates have a magnitude and angle.

In polar coordinates, the complex number a+bi would have magnitude $ \sqrt(a^2+b^2) $ and angle $ arctan(b/a) $

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Ph.D. on Applied Mathematics in Aug 2007. Involved on applications of image super-resolution to electron microscopy

Francisco Blanco-Silva