Sentence examples for a periodic sequence from inspiring English sources

It is easy to see the following relation between the least period and a period of a periodic sequence.

Let ((a(n))_{ninmathbf {N}}) be a periodic sequence of nonzero real numbers with a period (Kinmathbf {N}), i.e. (a(n+K =a(n)), (a(n neq0) for each (ninmathbf {N}).

In contrast, a periodic sequence such as LSLLSLLSLLSLLSL... has a fundamental unit (LSL) that is precisely repeated at equal intervals.

The field produced by an ASB is considered to consist of a periodic sequence of electrostatically plugged magnetic field cusps.

Often, however, a periodic sequence of extinction and reignition events, termed collectively as "diffusion flame-streets", are observed.

What would happen if we assume that (t_{k}) is a periodic sequence or an almost periodic sequence?

A sequence is called an almost periodic sequence if the -translation set of, (3.1). is a relatively dense set in for all ; that is, for any given, there exists an integer such that each discrete interval of length contains such that (3.2). is called the -translation number of.

Moreover, since ({I_{k}}) is an almost periodic sequence, there exists a (q>0) such that (vert I_{k+q}-I_{k}vert

That is coexistence of a positive periodic sequence solution and its anti-sign periodic sequence solution.

({ a_{n}^{k} ( m ) } ) forms a simply periodic sequence.

A bounded sequence is called an almost periodic sequence (abbreviated as ) if the -translation set of (1.10). is relatively dense for each.