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## Definition: n-Periodical Complex Sequence

A complex sequence $(a_k)_{k\in\mathbb Z}$ is called $n$-periodical, if there is a positive integer $n\in\mathbb Z$ such that $a_k=a_l$ for all $k(n)\equiv l(n)$, i.e. for all integers $k,l\in\mathbb Z$ being congruent modulo $n.$

| | | | | created: 2019-09-21 08:45:36 | modified: 2019-09-21 08:48:57 | by: bookofproofs | references: [8317]

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