Assumptions:
TeX:
\operatorname{sgn}\!\left({e}^{z}\right) = {e}^{\operatorname{Im}(z) i}
z \in \mathbb{C}Definitions:
| Fungrim symbol | Notation | Short description |
|---|---|---|
| Sign | Sign function | |
| Exp | Exponential function | |
| Im | Imaginary part | |
| ConstI | Imaginary unit | |
| CC | Complex numbers |
Source code for this entry:
Entry(ID("caf706"),
Formula(Equal(Sign(Exp(z)), Exp(Mul(Im(z), ConstI)))),
Variables(z),
Assumptions(Element(z, CC)))