MathGloss

Let VV be a vector space. The set WVW \subseteq V spans VV if for all vVv \in V, there exists nNn \in \mathbb N, a collection ${\alpha_i}{i=1}^n \subset \mathbb R,andacollection, and a collection {v_i}{i=1}^n \subset W$ such that \(v = \sum_{i=1}^n \alpha_i v_i.\)

Wikidata ID: Q209812