Definition:Sequence/Doubly Subscripted

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Definition

A doubly subscripted sequence is a mapping whose domain is a subset of the cartesian product $\N \times \N$ of the set of natural numbers $\N$ with itself.


It can be seen that a doubly subscripted sequence is an instance of a family of elements indexed by $\N^2$.


A doubly subscripted sequence can be denoted $\left\langle{a_{m n} }\right\rangle_{m, \, n \mathop \ge 0}$


Also see

  • Results about sequences can be found here.


Sources