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Real part
In mathematics, the real part of a complex number z, is the first element of the ordered pair of real numbers representing z, i.e. if z = (x,y), or equivalently, z = x + iy, then the real part of z is x. It is denoted by Rez or 
. The complex function which maps z to the real part of z is not holomorphic.
In terms of the complex conjugate
, the real part of z is equal to 
.
For a complex number in polar form, z = (r,θ), or equivalently, z = r(cosθ + isinθ), it follows from Euler's formula that z = reiθ, and hence that the real part of reiθ is rcosθ.
See also
03-10-2013 05:06:04
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The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details