Real Part

The real part  of a complex number  is the real number not multiplying i, so . In terms of  itself,

where  is the complex conjugate of . The real part is implemented in the Wolfram Language as Re[z].

A nonzero complex number with zero real part is called an imaginary number or sometimes, for emphasis, a purely imaginary number.

REFERENCES:

Abramowitz, M. and Stegun, I. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, p. 16, 1972.

Krantz, S. G. Handbook of Complex Variables. Boston, MA: Birkhäuser, p. 2, 1999.