Affine hull
In mathematics, the affine hull or affine span of a set S {\displaystyle S} in Euclidean space R n {\displaystyle \mathbb {R} ^{n}} is the smallest affine set containing S {\displaystyle S} , or equivalently, the intersection of all affine sets containing S {\displaystyle S} . Here, an affine set may be defined as the translation of a vector subspace.