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Fungrim entry: d87f6e

exp ⁣(log ⁣(z))=z\exp\!\left(\log\!\left(z\right)\right) = z
Assumptions:zC{0}z \in \mathbb{C} \setminus \left\{0\right\}
TeX:
\exp\!\left(\log\!\left(z\right)\right) = z

z \in \mathbb{C} \setminus \left\{0\right\}
Definitions:
Fungrim symbol Notation Short description
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("d87f6e"),
    Formula(Equal(Exp(Log(z)), 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 11:00:55.020619 UTC