Definition:Multiindex/Modulus

This page is about Modulus in the context of Modulus of Multiindex. For other uses, see Modulus.

Definition

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

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

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

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

Linguistic Note

The plural of modulus is moduli.

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