A method for encoding and decoding spectrum shaped binary run-length constrained sequences is described. The binary sequences with predefined range of exponential sums are introduced. On the base of Cover’s enumerative scheme, recurrence relations for calculating the number of these sequences are derived. Implementation of encoding and decoding procedures is also shown.

In this paper we study the boundedness, the persistence and the asymptotic behavior of the positive solutions of the following systems of two difference equations of exponential form: x nþ1 ¼

We obtain Willett-Wong-type oscillation and nonoscillation theorems for second order linear dynamic equations with integrable coefficients on a time scale. The results obtained extend and are motivated by oscillation and nonoscillation results due to Willett [20] and Wong [21] for the second order linear differential equation. As applications of the new results obtained, we give the complete cl...

When jazz musicians perform an improvisational piece of music their behaviors are not fully prescribed in advance. Nonetheless their actions become so tightly coordinated and their decisions so seamlessly intertwined that the musicians behave as a single synergistic unit rather than a collection of individuals. A fundamental aspect of such musical improvisation is the bodily movement coordinati...

We consider a perturbation of the Anosov-type system, which leads to the appearance of a hierarchical set of islands-around-islands. We demonstrate by simulation that the boundaries of the islands are sticky to trajectories. This phenomenon leads to the distribution of Poincaré recurrences with power-like tails in contrast to the exponential distribution in the Anosov-type systems.

The mechanism of the exponential transient statistics of Poincaré recurrences in the presence of chaos border with its critical structure is studied using two simple models: separatrix map and the kicked rotator ('microtron'). For the exponential transient to exist the two conditions have been shown to be crucial: fast (ballistic) relaxation, and a small measure of the critical structure. The l...

introduction: this study was aimed to asses the rate of recurrence after the first unprovoked seizure in children. methods and materials: in a prospective study, we recruited 145 children who presented with primary unprovoked seizure and were followed for at least 12 months after the first seizure. results: seventy five children (51.7%) experienced subsequent seizures. the cumulative risk of se...

In this paper we use combinatorial techniques to solve recurrence relations in two variables of the form T(N,k) = 2 T(N/2,k) + T(N,k-l) + f(N) and related recurrences. These recurrences arise in the analysis of algorithms based on a paradigm called "multidimensional divide-and-conquer". The analyses that we present are interesting from a combinatorial view, and show that certain algorithms are ...

objective febrile seizure is the most common problem in pediatric neurology that occurs in 3- 4 % of children. the purpose of this study was to determine febrile seizure recurrence frequency and to evaluate its risk factors. materials & methods in a descriptive prospective study, 139 children (6 months to 6 years) with first febrile seizure were admitted to yazd shaheed sadoughi hospital betwee...