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Fungrim entry: bcd22f

zz=z2z \overline{z} = {\left|z\right|}^{2}
Assumptions:zCz \in \mathbb{C}
TeX:
z \overline{z} = {\left|z\right|}^{2}

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Conjugatez\overline{z} Complex conjugate
Powab{a}^{b} Power
Absz\left|z\right| Absolute value
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("bcd22f"),
    Formula(Equal(Mul(z, Conjugate(z)), Pow(Abs(z), 2))),
    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.

2019-09-16 21:17:18.797188 UTC