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Fungrim entry: f1a29b

Im ⁣(z)=zz2i\operatorname{Im}\!\left(z\right) = \frac{z - \overline{z}}{2 i}
Assumptions:zCz \in \mathbb{C}
TeX:
\operatorname{Im}\!\left(z\right) = \frac{z - \overline{z}}{2 i}

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
ImIm ⁣(z)\operatorname{Im}\!\left(z\right) Imaginary part
Conjugatez\overline{z} Complex conjugate
ConstIii Imaginary unit
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("f1a29b"),
    Formula(Equal(Im(z), Div(Sub(z, Conjugate(z)), Mul(2, ConstI)))),
    Variables(z),
    Assumptions(Element(z, CC)))

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Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2019-09-19 20:12:49.583742 UTC