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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 then the imaginary part of is .

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

The imaginary part of is denoted or . It is not holomorphic.

If a complex number is written as , then the imaginary part is . (See Euler's formula.)

See also



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