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Fungrim entry: 627c9c

z=e1/2log(z)\sqrt{z} = {e}^{1 / 2 \log(z)}
Assumptions:zC{0}z \in \mathbb{C} \setminus \left\{0\right\}
TeX:
\sqrt{z} = {e}^{1 / 2 \log(z)}

z \in \mathbb{C} \setminus \left\{0\right\}
Definitions:
Fungrim symbol Notation Short description
Sqrtz\sqrt{z} Principal square root
Expez{e}^{z} Exponential function
Loglog(z)\log(z) Natural logarithm
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("627c9c"),
    Formula(Equal(Sqrt(z), Exp(Mul(Div(1, 2), Log(z))))),
    Variables(z),
    Assumptions(Element(z, SetMinus(CC, Set(0)))))

Topics using this entry

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2021-03-15 19:12:00.328586 UTC