Assumptions:
TeX:
\operatorname{csgn}(z) = \frac{\sqrt{{z}^{2}}}{z}
z \in \mathbb{C} \setminus \left\{0\right\}Definitions:
| Fungrim symbol | Notation | Short description |
|---|---|---|
| Csgn | Real-valued sign function for complex numbers | |
| Sqrt | Principal square root | |
| Pow | Power | |
| CC | Complex numbers |
Source code for this entry:
Entry(ID("e9465d"),
Formula(Equal(Csgn(z), Div(Sqrt(Pow(z, 2)), z))),
Variables(z),
Assumptions(Element(z, SetMinus(CC, Set(0)))))