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2003) and in (Pritykin, 2006) it was proven that finite automata preserve almost periodicity, i.
Minimal such function f is regulator of almost periodicity of the sequence A.
There exists a binary sequence S with regulator of almost periodicity f such that for every natural number n there exists a finite automaton A(n) with n states, input alphabet {0,1} and output alphabet {0, .
First, we estimate almost periodicity regulator of S.
present recent methods of study on the asymptotic behavior of solutions of abstract differential equations in Banach spaces, such as stability, exponential dichotomy, periodicity, almost periodicity, and almost automorphy of solutions.
The concept of pseudo almost periodicity is a natural genelization of almost periodicity.
i] : R x - [ohm] x C [right arrow] C, i = 1; 2; are sufficiently smooth functions with pseudo almost periodicity in the first variable uniformly with respect to the other variables, and K [member of] [L.
We have so far not been concerned with almost periodicity, since in any experiment D is less than or equal to the number of observed reflections, and thus is finite.
For reason discussed below we need not be concerned with almost periodicity.
f is almost periodic), fact which implies the almost periodicity of y(t).
In this section, starting from a Bohr-kind definition for the almost periodicity, we develop a theory of almost periodic functions with values in a p-Frechet space, 0 < p < 1, similar to that for functions with values in Banach space.
In what follows we will consider the concept of weakly almost periodicity, at least in the cases of [l.