Definition:Addition/Multiindices

Definition
The addition operation in the domain of multiindices $Z$ is written $+$.

Let $k = \left \langle {k_j}\right \rangle_{j \in J}$ and $l = \left \langle {l_j}\right \rangle_{j \in J}$ be multiindices.

Then $k + l$ is defined by:
 * $\left({\forall j \in J}\right) \left({\left({k + l}\right)_j = k_j + l_j}\right)$