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Fungrim entry: 1b3014

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

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Abs∣z∣\left|z\right| Absolute value
Expez{e}^{z} Exponential function
ReRe⁡ ⁣(z)\operatorname{Re}\!\left(z\right) 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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2019-06-18 07:49:59.356594 UTC