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Fungrim entry: 2f57ad

∣ez∣≤e∣z∣\left|{e}^{z}\right| \le {e}^{\left|z\right|}
Assumptions:z∈Cz \in \mathbb{C}
TeX:
\left|{e}^{z}\right| \le {e}^{\left|z\right|}

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Abs∣z∣\left|z\right| Absolute value
Expez{e}^{z} Exponential function
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("2f57ad"),
    Formula(LessEqual(Abs(Exp(z)), Exp(Abs(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.

2021-03-15 19:12:00.328586 UTC