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Fungrim entry: 1b3014

ez=eRe(z)\left|{e}^{z}\right| = {e}^{\operatorname{Re}(z)}
Assumptions:zCz \in \mathbb{C}
TeX:
\left|{e}^{z}\right| = {e}^{\operatorname{Re}(z)}

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Absz\left|z\right| Absolute value
Expez{e}^{z} Exponential function
ReRe(z)\operatorname{Re}(z) Real part
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("1b3014"),
    Formula(Equal(Abs(Exp(z)), Exp(Re(z)))),
    Variables(z),
    Assumptions(Element(z, CC)))

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

2020-04-08 16:14:44.404316 UTC