Affine dependence
= Affine dependence
{title2=$\sum_i\lambda_i x_i=0,\quad\sum_i\lambda_i=0$}
An <affine dependence> of points is a nonzero coefficient family satisfying the displayed identities. Equivalently, the augmented <vectors> $(x_i,1)$ are <linearly dependent>. Both identities are independent of the chosen origin. The absence of an <affine dependence> is <affine independence>.