The Imaginary part reference article from the English Wikipedia on 24-Jul-2004 (provided by Fixed Reference: snapshots of Wikipedia from wikipedia.org)

Imaginary part

In mathematics, the imaginary part of a complex number z is the second element of the ordered pair of real numbers representing z, i.e. if z=x+iy then the imaginary part of z is y.

In terms of the complex conjugate , the imaginary part of z is equal to

The imaginary part of z is denoted Im(z) or . It is not holomorphic.

If a complex number is written as r e^iθ, then the imaginary part is r sin(θ). (See Euler's formula.)

See also: Imaginary number

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