Fungrim entry: 8c1ee5

\operatorname{sgn}\!\left(\sqrt{z}\right) = \sqrt{\operatorname{sgn}\!\left(z\right)}

Assumptions:

z \in \mathbb{C}

TeX:

\operatorname{sgn}\!\left(\sqrt{z}\right) = \sqrt{\operatorname{sgn}\!\left(z\right)}

z \in \mathbb{C}

Definitions:

Fungrim symbol	Notation	Short description
`Sign`	$\operatorname{sgn}\!\left(z\right)$	Sign function
`Sqrt`	$\sqrt{z}$	Principal square root
`CC`	$\mathbb{C}$	Complex numbers

Source code for this entry:

Entry(ID("8c1ee5"),
    Formula(Equal(Sign(Sqrt(z)), Sqrt(Sign(z)))),
    Variables(z),
    Assumptions(Element(z, CC)))

Topics using this entry

2019-06-18 07:49:59.356594 UTC