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Fungrim entry: ac54c7

z=z\left|\sqrt{z}\right| = \sqrt{\left|z\right|}
Assumptions:zCz \in \mathbb{C}
TeX:
\left|\sqrt{z}\right| = \sqrt{\left|z\right|}

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Absz\left|z\right| Absolute value
Sqrtz\sqrt{z} Principal square root
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("ac54c7"),
    Formula(Equal(Abs(Sqrt(z)), Sqrt(Abs(z)))),
    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.

2019-08-25 15:30:03.056001 UTC