Assumptions:
TeX:
{e}^{i z} = \cos(z) + i \sin(z)
z \in \mathbb{C}Definitions:
| Fungrim symbol | Notation | Short description |
|---|---|---|
| Exp | Exponential function | |
| ConstI | Imaginary unit | |
| Cos | Cosine | |
| Sin | Sine | |
| CC | Complex numbers |
Source code for this entry:
Entry(ID("e103e7"),
Formula(Equal(Exp(Mul(ConstI, z)), Add(Cos(z), Mul(ConstI, Sin(z))))),
Variables(z),
Assumptions(Element(z, CC)))