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Fungrim entry: 627c9c

z=exp⁡ ⁣(12log⁡ ⁣(z))\sqrt{z} = \exp\!\left(\frac{1}{2} \log\!\left(z\right)\right)
Assumptions:z∈C∖{0}z \in \mathbb{C} \setminus \left\{0\right\}
TeX:
\sqrt{z} = \exp\!\left(\frac{1}{2} \log\!\left(z\right)\right)

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\!\left(z\right) 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)))))

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

2019-06-18 07:49:59.356594 UTC