Vektorraum/Affin-lineare Abbildung/Definition/en

Let Vorlage:Mat be a field and let Vorlage:Mathcor be vector spaces over Vorlage:Mat A map

$\alpha \colon V\longrightarrow W,\,v\longmapsto \alpha (v)=\varphi (v)+w,$

where ${}\varphi$ is a linear map and ${}w\in W$ is a vector, is called affine-linear.