Fungrim home page

Fungrim entry: e103e7

eiz=cos⁡ ⁣(z)+isin⁡ ⁣(z){e}^{i z} = \cos\!\left(z\right) + i \sin\!\left(z\right)
Assumptions:z∈Cz \in \mathbb{C}
TeX:
{e}^{i z} = \cos\!\left(z\right) + i \sin\!\left(z\right)

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Expez{e}^{z} Exponential function
ConstIii Imaginary unit
Sinsin⁡ ⁣(z)\sin\!\left(z\right) Sine
CCC\mathbb{C} 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)))

Topics using this entry

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2019-06-18 07:49:59.356594 UTC