Given a real number β > 1, a permutation π of length n is realized by the β-shift if there is some x ∈ [0, 1] such that the relative order of the sequence x, f(x), . . . , f(x), where f(x) is the factional part of βx, is the same as that of the entries of π. Widely studied from such diverse fields as number theory and automata theory, β-shifts are prototypical examples onedimensional chaotic dy...

Sequences and arrays with good auto and cross-correlation are useful in communications and digital , .. 'atermarking respectively. Two-valued autocorrelation is relatively easy to achieve. However, sets of pSfudonoise sequences with good cross-correlation arc small and difficult to find. Here, the cross-correlation for particular shifts of m-sequences and GM\V sequences is analysed by looking a...

A permutation π is realized by the shift on N symbols if there is an infinite word on an N -letter alphabet whose successive left shifts by one position are lexicographically in the same relative order as π. The set of realized permutations is closed under consecutive pattern containment. Permutations that cannot be realized are called forbidden patterns. It was shown in [J.M. Amigó, S. Elizald...

The travelling wave dielectrophoretic pump studied here is essentially a rectangular straight micro-channel with an electrode array on part of its wall, and operated under an ac voltage with phase shift at neighbouring electrodes. The travelling wave dielectrophoretic force drives the cells, which drag the plasma, and after some sophisticated interaction between conventional dielectrophoresis, ...

The control chart based on geometric distribution (geometric chart) has been shown to be competitive to por npcharts for monitoring proportion nonconforming, especially for applications in high quality manufacturing environment. However, implementing a geometric chart often assumes the process parameter to be known or accurately estimated. For a high quality process, an accurate parameter estim...

The LIGO (Laser interferometer Gravitational-wave Observatory) detector [1] is a complex Fabry-Perot/Michelson interferometer designed to detect gravitational waves (GW) from astrophysical sources (Fig. 1). When a GW strikes the detector, the underlying space will be extended in one direction and contracted in the orthogonal direction. The LIGO detector is designed to detect this space-strain a...

Relative force depression associated with muscle fatigue is reported to be greater when assessed at short vs. long muscle lengths. This appears to be due to a rightward shift in the force-length relationship. This rightward shift may be caused by stretch of in-series structures, making sarcomere lengths shorter at any given muscle length. Submaximal force-length relationships (twitch, double pu...

This paper investigates the quadratic irrationals that arise as periodic points of Gauss type shift associated to odd continued fraction expansion. It is shown these numbers, which we call O-reduced, when ordered by length closed primitive geodesic on some modular surface Γ∖H, are equidistributed with respect Lebesgue absolutely continuous invariant probability measure Odd shift.

Several studies of sleep-breathing physiology have suggested that sleep deprivation may worsen obstructive sleep apnea. The aim of the study was to determine the direct effect of night work on breathing variables during sleep in fast-rotating shift workers. Twenty one men - police officers, fast-rotating shift workers, underwent polysomnography on 2 occasions: under a normal sleeping condition ...

PURPOSE To evaluate the factors that affect postoperative astigmatism and post-suture removal astigmatism, and to evaluate the risk factors associated with astigmatism axis shift. METHODS We performed a retrospective chart review of 130 eyes that had undergone uneventful phacoemulsification cataract surgery. Preoperative astigmatism was divided into four groups (Groups I, II, III, and IV) acc...