Fungrim entry: 26565c

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

Assumptions:

z \in \mathbb{C} \setminus \left\{0\right\}

TeX:

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

z \in \mathbb{C} \setminus \left\{0\right\}

Definitions:

Fungrim symbol	Notation	Short description
`Sign`	$\operatorname{sgn}\!\left(z\right)$	Sign function
`Abs`	$\left\|z\right\|$	Absolute value
`CC`	$\mathbb{C}$	Complex numbers

Source code for this entry:

Entry(ID("26565c"),
    Formula(Equal(Sign(z), Div(z, Abs(z)))),
    Variables(z),
    Assumptions(Element(z, SetMinus(CC, Set(0)))))

Topics using this entry

2019-06-18 07:49:59.356594 UTC