The phrase "a periodic sequence of" is correct and usable in written English.
It can be used when describing a series of events, numbers, or patterns that occur at regular intervals.
Example: "The data collected showed a periodic sequence of temperature fluctuations throughout the year."
Alternatives: "a recurring series of" or "a regular pattern of".
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}).
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.
The occurrence of oscillations can be rationalized in terms of a periodic sequence of dissolution of the passive layer by iodides and the reformation of a film due to the dissolution products.
Following a periodic sequence of ashes, certain ganglion cells have been shown to fire a burst of spikes following the omission or breaking of a pattern rather than when the pattern kept going as expected, suggesting that the retina recognizes the pattern and conveys to the brain when the pattern has stopped its periodicity, thereby conserving energy.
The occurrence of current oscillations was rationalized in terms of a periodic sequence of dissolution and reformation of the M OH 3 film, which was formed by the reaction of divalent metal ions dissolved in the earlier stage of polarization of the stainless steel.
It is easy to see the following relation between the least period and a period of a periodic sequence.
Some new criteria for coexistence of a periodic sequence solution and anti-sign periodic one of (1.2) have been derived by using Krasnoselskii's fixed point theorem.
We began with the discrete-time Fourier series, corresponding to representing a periodic sequence through a set of complex exponentials, where now we only required a finite number of these because of the fact that, in fact, there are only a finite number of harmonically-related complex exponentials.
Let P be the set of all periodic sequences of complex numbers and SP is the closure of P. Berg et al. [16] proved that SP is the set of all semi-periodic sequences.
end{aligned}It follows from the definition of the basis (mathsf {B}) that the matrix of (pi _infty (a)) is the block-diagonal matrix consisting of the Jordan cells of size p. Consequently, its first diagonal is the periodic sequence of period ((1, 1, ldots, 1, 0)) of length p. Hence, the first diagonal of (a^s) is ((s, s, ldots, s, 0)) repeated periodically.
