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Fungrim entry: e9465d

csgn ⁣(z)=z2z\operatorname{csgn}\!\left(z\right) = \frac{\sqrt{{z}^{2}}}{z}
Assumptions:zC{0}z \in \mathbb{C} \setminus \left\{0\right\}
TeX:
\operatorname{csgn}\!\left(z\right) = \frac{\sqrt{{z}^{2}}}{z}

z \in \mathbb{C} \setminus \left\{0\right\}
Definitions:
Fungrim symbol Notation Short description
Csgncsgn ⁣(z)\operatorname{csgn}\!\left(z\right) Real-valued sign function for complex numbers
Sqrtz\sqrt{z} Principal square root
Powab{a}^{b} Power
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("e9465d"),
    Formula(Equal(Csgn(z), Div(Sqrt(Pow(z, 2)), z))),
    Variables(z),
    Assumptions(Element(z, SetMinus(CC, Set(0)))))

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2019-09-16 21:17:18.797188 UTC