Real Part
المؤلف:
Abramowitz, M. and Stegun, I. A
المصدر:
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover
الجزء والصفحة:
...
24-10-2018
1320
Real Part
The real part ![R[z]](http://mathworld.wolfram.com/images/equations/RealPart/Inline1.gif)
of a complex number 
is the real number not multiplying i, so ![R[x+iy]=x](http://mathworld.wolfram.com/images/equations/RealPart/Inline3.gif)
. 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.
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