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Imaginary unit

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The imaginary unit i = \sqrt{-1} is one of the four units of the domain of complex numbers. (The others are 1, –1 and i). In electrical engineering applications, the symbol j is generally used instead of i, which is then generally used as an iterator.[1] The imaginary unit is I in Wolfram Mathematica's InputForm and a blackboard bold lowercase I in StandardForm.

The square root of the imaginary unit is \frac{1}{\sqrt{2}} + \frac{1}{\sqrt{2}}i (see A010503).

  1. Paul J. Nahin, An Imaginary Tale: The Story of \sqrt{-1}. Princeton, New Jersey: Princeton University Press (1988): 125
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