Assumptions:
TeX:
\arg(z) = -i \log\!\left(\operatorname{sgn}(z)\right)
z \in \mathbb{C} \setminus \left\{0\right\}Definitions:
| Fungrim symbol | Notation | Short description |
|---|---|---|
| Arg | Complex argument | |
| ConstI | Imaginary unit | |
| Log | Natural logarithm | |
| Sign | Sign function | |
| CC | Complex numbers |
Source code for this entry:
Entry(ID("60772e"),
Formula(Equal(Arg(z), Neg(Mul(ConstI, Log(Sign(z)))))),
Variables(z),
Assumptions(Element(z, SetMinus(CC, Set(0)))))