In this article we investigate the Fourier series and transforms for the functions defined on the [0, 2π] d or R d and belonging to the exponential Orlicz and some other rearrangement invariant (r.i.) spaces.

We study several fundamental problems arising from biological sequence analysis. Given a sequence of real numbers, we present two linear-time algorithms, one for locating the “longest” sum-constrained segment, and the other for locating the “shortest” sumconstrained segment. These two algorithms are based on the same framework and run in an online manner, hence they are capable of handling data...

We consider a class of Dirichlet series which is more general than the Selberg class. Dirichlet series in this class, have meromorphic continuation to the whole plane and satisfy a certain functional equation. We prove, under the assumption of a certain hypothesis concerning the density of zeros on average, that the sequence formed by the imaginary parts of the zeros of a Dirichlet series in th...

Introduction: In this paper, a novel complexity measure is proposed to detect dynamical changes in nonlinear systems using ordinal pattern analysis of time series data taken from the system. Epilepsy is considered as a dynamical change in nonlinear and complex brain system. The ability of the proposed measure for characterizing the normal and epileptic EEG signals when the signal is short or is...

abstract in this paper, we study the generalized order- jacobsthal sequences modulo for and the generalized order-k jacobsthal-padovan sequence modulo for . also, we define the generalized order-k jacobsthal orbit of a k-generator group for and the generalized order-k jacobsthal-padovan orbit a k-generator group for . furthermore, we obtain the lengths of the periods of the generalized order-3 ...

structural studies of literary works, which seek to examine the inner textual elements and to discover their connections, provide the grounds for better understanding the essence of literature and by presenting the devices of creating excellent literature can help us to expand the patterns of processing a literary work. a number of structural critics have dealt with the narrative forms by study...

introduction: in this paper, a novel complexity measure is proposed to detect dynamical changes in nonlinear systems using ordinal pattern analysis of time series data taken from the system. epilepsy is considered as a dynamical change in nonlinear and complex brain system. the ability of the proposed measure for characterizing the normal and epileptic eeg signals when the signal is short or is...

according to the geographical and environmental situation, the kur river basin have been occupied from the middle paleolithic to the modern times. of the ancient cultures of the region, the 3rd millennium b.c cultures contemporary with proto-elemite and the elemite dynasties have less known. despite to the importance of this span of time, there is not clear understanding on the transition from ...