Definition:Multiindex/Modulus

Definition

Let $k = \sequence {k_j}_{j \mathop \in J}$ be a multiindex.

The modulus of such a multiindex $k$ is defined by:

$\ds \size k = \sum_{j \mathop \in J} k_j$

Note that, since by definition all but finitely many of the $k_j$ are zero, this summation is convergent.