The propagation of vibrations in structures with some degree of extended disorder, i.e., departure from regularity or strict periodicity extended throughout the structure, is discussed.
Here the original meridional (axial) fibrillar D periodicity extended from 62.2 to 64.6 nm and the helical rise per residue increased from 0.286-0.290 nm as IPA concentration used increased.
The periodicity of the system was taken into account by applying Floquet boundary conditions on the lateral sides of the unit cell, perpendicular to the plane of incidence; subsequently, results have been periodically extended to visualize the diatom array (Additional file 4).
Periodic analysis of the annual rainfall level in Pelotas and in Fortaleza shows a pronounced bidecadal periodicity that extended for about 100 150 years with great variation amplitude reaching of about 90%.
A feasible solution to this problem is to implement a semi-persistent scheduling [39] where the signaling check periodicity is extended (up to several seconds) without taking into account the licensed channel state.
In more detail, non-equivalent pairs of doublet-like solutions (m* = (±m1, 0) or (0, ±m2)) identify two kinds of rippled structures, i.e. the LTR and the HTR pattern, depending on whether the faceting (and the periodicity) is extended along the or the direction, respectively [32].
The relevant information about the violin sound is however contained in the fact that the 2 π ν -periodicity extends over an interval along the cochlea that comprises more than three octaves in the tonal range.
In the proposed deeper XMM-Newton observations we aim to constrain the spectrum of the 3 brightest sources, as well as search for variabilities, periodicities, and extended emission.
However, the slow rate of Anthozoan mitochondrial change lengthens greatly the time to HEG degeneration: this significantly extends the periodicity of the HEG life-cycle.
In addition, in each case the Fourier series of the higher-order Bernoulli functions (B_{m}^{(r)}( langle x rangle)) are expressed in terms of Bernoulli functions which are obtained by extending by periodicity of period 1 the ordinary Bernoulli polynomials (B_{m}(x)) on ([0, 1)).
In this paper, we studied the Fourier series expansion of the higher-order Bernoulli functions (B_{m}^{(r)}( langle x rangle )) which are obtained by extending by periodicity of period 1 the higher-order Bernoulli polynomials (B_{m}^{(r)}(x)) on ([0, 1)).
