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Fungrim entry: 1b3014

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

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)))

Topics using this entry

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

2019-10-05 13:11:19.856591 UTC