Definition 11.1.2 (Convex Hull).label Let $E$ be a vector space over $K \in \RC$ and $A \subset E$, then the set
\[\text{Conv}(A) = \bracs{\sum_{j = 1}^n t_j x_j \bigg | \seqf{t_j} \subset [0, 1], \seqf{x_j} \subset E, \sum_{j = 1}^n t_j = 1 }\]
is the convex hull of $A$.