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A mathematical operator representing the imaginary part of a complex number in complex analysis.

\Im image

Examples

Imaginary part of a complex number

\Im(2 + 3i) = 3

Imaginary part of a complex function

\Im(e^{i\theta}) = \sin(\theta)

Image of a linear transformation

\Im(T) = \{y \in Y : y = T(x) \text{ for some } x \in X\}