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Fungrim entry: 432926

∣sgn⁡(z)∣≤1\left|\operatorname{sgn}(z)\right| \le 1
Assumptions:z∈Cz \in \mathbb{C}
TeX:
\left|\operatorname{sgn}(z)\right| \le 1

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Abs∣z∣\left|z\right| Absolute value
Signsgn⁡(z)\operatorname{sgn}(z) Sign function
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("432926"),
    Formula(LessEqual(Abs(Sign(z)), 1)),
    Variables(z),
    Assumptions(Element(z, CC)))

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2021-03-15 19:12:00.328586 UTC