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Fungrim entry: 8c1ee5

sgn ⁣(z)=sgn(z)\operatorname{sgn}\!\left(\sqrt{z}\right) = \sqrt{\operatorname{sgn}(z)}
Assumptions:zCz \in \mathbb{C}
TeX:
\operatorname{sgn}\!\left(\sqrt{z}\right) = \sqrt{\operatorname{sgn}(z)}

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Signsgn(z)\operatorname{sgn}(z) Sign function
Sqrtz\sqrt{z} Principal square root
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("8c1ee5"),
    Formula(Equal(Sign(Sqrt(z)), Sqrt(Sign(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.

2019-11-19 15:10:20.037976 UTC