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Fungrim entry: 22e0be

arg ⁣(z)=arg ⁣(z)2\arg\!\left(\sqrt{z}\right) = \frac{\arg\!\left(z\right)}{2}
Assumptions:zCz \in \mathbb{C}
TeX:
\arg\!\left(\sqrt{z}\right) = \frac{\arg\!\left(z\right)}{2}

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Argarg ⁣(z)\arg\!\left(z\right) Complex argument
Sqrtz\sqrt{z} Principal square root
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("22e0be"),
    Formula(Equal(Arg(Sqrt(z)), Div(Arg(z), 2))),
    Variables(z),
    Assumptions(Element(z, CC)))

Topics using this entry

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

2019-08-21 11:44:15.926409 UTC