At higher angular frequencies
, nearly down to 10 rad/s, almost no differences in the complex shear viscosity of both samples can be seen.
At different angular frequencies
, tracking a mode of an individual modal shape is of interest as the dispersion curves are generated.
In  we have shown that the set of natural frequencies of a fractal chain system of similar harmonic oscillators can be described as set of finite continued fractions F (1), which are natural logarithms, where [[omega].sub.jk] is the set of angular frequencies
and [[omega].sub.00] is the fundamental frequency of the set.
Conversely, sample 1 also shows a higher viscosity at the low angular frequencies
, corresponding to a stronger resistance to flow.
The RMSE is defined by [[square root of 1/C [summation].sup.C.sub.n=1] ([[??].sub.n,n] - [[omega].sub.h,n]).sup.2], where C is set to [10.sup.4] and [tau]0,n is the angular frequencies
of the heartbeat estimation in the n-th Monte-Carlo trial, respectively.
The first five natural angular frequencies
for different mass ratios and power exponents are reported in Table 7.
One way found to solve this trouble, was increasing the angular frequencies
. It was showed how these agglomerations are related with light absorbance.
All the flux components in (6) induce corresponding currents at same angular frequencies
, which makes a unique pattern in the current spectra.
where [U.sub.01], [U.sub.02] are voltage amplitudes, [[omega].sub.1], [[omega].sub.2] are angular frequencies
, t is time and [[phi].sub.1], [[phi].sub.2] are phases of harmonic signals.
No results related to alcohol intake and elementary stimuli in polar coordinates (angular frequencies
) are available.
in which the complex angular frequencies
[[omega].sub.m] are solutions of (23) for given wavenumbers [k.sub.m].
In practice, the method of weight optimization of outer heavy buoy can not be applied in direct drive ocean wave energy extraction system due to the various angular frequencies
to of ocean waves and the inconstant force of PMTLG (see Section 2.2).