Fungrim home page

Fungrim entry: 792c76

log(z)log ⁣(z)+π\left|\log(z)\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(z)\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(z) Natural logarithm
Piπ\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))), Pi))),
    Variables(z),
    Assumptions(Element(z, SetMinus(CC, Set(0)))))

Topics using this entry

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

2019-12-30 15:00:46.909060 UTC