Given a set \(C\), an affine hull of the set is the [Affine Combination] of all the points in the set. It is denoted as \(aff C = \{\theta_1 x_1 + \theta_2 x_2 + \dots + \theta_k x_k \mid x_1, x_2, \dots, x_k \in C, \theta_1 + \theta_2 + \dots + \theta_k = 1\}\).