Assumptions:
TeX:
\operatorname{sgn}(z) = \exp\!\left(i \arg(z)\right)
z \in \mathbb{C} \setminus \left\{0\right\}Definitions:
| Fungrim symbol | Notation | Short description |
|---|---|---|
| Sign | Sign function | |
| Exp | Exponential function | |
| ConstI | Imaginary unit | |
| Arg | Complex argument | |
| CC | Complex numbers |
Source code for this entry:
Entry(ID("54340e"),
Formula(Equal(Sign(z), Exp(Mul(ConstI, Arg(z))))),
Variables(z),
Assumptions(Element(z, SetMinus(CC, Set(0)))))