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Fungrim entry: 26565c

sgn ⁣(z)=zz\operatorname{sgn}\!\left(z\right) = \frac{z}{\left|z\right|}
Assumptions:zC{0}z \in \mathbb{C} \setminus \left\{0\right\}
TeX:
\operatorname{sgn}\!\left(z\right) = \frac{z}{\left|z\right|}

z \in \mathbb{C} \setminus \left\{0\right\}
Definitions:
Fungrim symbol Notation Short description
Signsgn ⁣(z)\operatorname{sgn}\!\left(z\right) Sign function
Absz\left|z\right| Absolute value
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("26565c"),
    Formula(Equal(Sign(z), Div(z, Abs(z)))),
    Variables(z),
    Assumptions(Element(z, SetMinus(CC, Set(0)))))

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

2019-09-15 14:14:26.267625 UTC