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# Imaginary number

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An imaginary number is a complex number that can be written as ib where b is a real number and i the imaginary unit with the property that i2 = -1. These numbers are called imaginary numbers because where most complex numbers have a real component and an imaginary component, that is, are of the form a + ib, these numbers only have an imaginary component ib.

The imaginary numbers are exactly all those numbers that can be found on the y-axis of the complex number plane. They also coincide with all the complex numbers whose squares are non-positive real numbers.

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Last edited July 27, 2001 3:51 pm (diff)
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