# Definition:Multiindex/Modulus

< Definition:Multiindex(Redirected from Definition:Modulus of Multiindex)

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*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**.

## Sources

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