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Fungrim entry: 792c76

log ⁣(z)log ⁣(z)+π\left|\log\!\left(z\right)\right| \le \left|\log\!\left(\left|z\right|\right)\right| + \pi
Assumptions:zC{0}z \in \mathbb{C} \setminus \left\{0\right\}
TeX:
\left|\log\!\left(z\right)\right| \le \left|\log\!\left(\left|z\right|\right)\right| + \pi

z \in \mathbb{C} \setminus \left\{0\right\}
Definitions:
Fungrim symbol Notation Short description
Absz\left|z\right| Absolute value
Loglog ⁣(z)\log\!\left(z\right) Natural logarithm
ConstPiπ\pi The constant pi (3.14...)
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("792c76"),
    Formula(LessEqual(Abs(Log(z)), Add(Abs(Log(Abs(z))), ConstPi))),
    Variables(z),
    Assumptions(Element(z, SetMinus(CC, Set(0)))))

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2019-09-15 11:00:55.020619 UTC