Fungrim home page

Fungrim entry: fbfb81

Im ⁣(log(z))=arg(z)\operatorname{Im}\!\left(\log(z)\right) = \arg(z)
Assumptions:zC{0}z \in \mathbb{C} \setminus \left\{0\right\}
TeX:
\operatorname{Im}\!\left(\log(z)\right) = \arg(z)

z \in \mathbb{C} \setminus \left\{0\right\}
Definitions:
Fungrim symbol Notation Short description
ImIm(z)\operatorname{Im}(z) Imaginary part
Loglog(z)\log(z) Natural logarithm
Argarg(z)\arg(z) Complex argument
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("fbfb81"),
    Formula(Equal(Im(Log(z)), Arg(z))),
    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.

2019-10-05 13:11:19.856591 UTC