Other Definitions imaginary part (dict)
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Imaginary PartIn mathematics, the imaginary part of a complex number , is the second element of the ordered pair of real numbers representing i.e. if , or equivalently, , then the imaginary part of is . It is denoted by or . The complex function which maps to the imaginary part of is not holomorphic. In terms of the complex conjugate , the imaginary part of z is equal to . For a complex number in polar form, , or equivalently, , it follows from Euler's formula that , and hence that the imaginary part of is . See also
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