Assumptions:
TeX:
{i}^{z} = {e}^{\pi i z / 2}
z \in \mathbb{C}Definitions:
| Fungrim symbol | Notation | Short description |
|---|---|---|
| Pow | Power | |
| ConstI | Imaginary unit | |
| Exp | Exponential function | |
| Pi | The constant pi (3.14...) | |
| CC | Complex numbers |
Source code for this entry:
Entry(ID("f8a56f"),
Formula(Equal(Pow(ConstI, z), Exp(Div(Mul(Mul(Pi, ConstI), z), 2)))),
Variables(z),
Assumptions(Element(z, CC)))