Paying attention to that in the functional (9), we fix a value of the spatial frequency [[lambda].sub.0] and prepare additional information (6) for different values of the angular frequency
The plot of dynamic complex viscosity [absolute value of [[eta].sup.*] as function of angular frequency
(at) for neat PP and its nanocomposites measured at 190[degrees]C is depicted in Fig.
For the purpose of minimizing the dispersion error, the equation relating the angular frequency
[[omega].sub.exact] analytically with the wavenumber [k.sub.x] given below is employed for the one-dimensional Maxwell's equations
1: Distribution (logarithmic representation) of frequency ranges (positive numbers) of human brain wave activity and other cyclical biological processes in the canonical projection of the fundamental fractal F (1) with the proton angular frequency
[[omega].sub.p] = 1.42548624 x [10.sup.24] Hz as fundamental.
where [DELTA][[omega].sub.IF] and [DELTA][[phi].sub.IF](t) represent the angular frequency
and phase of the IF carrier signal.
For example, the loss modulus of pure polymer at an angular frequency
of 10 rad/s was observed to be 83,980 Pa which increased to 93,480 Pa for 2%CPE25 blend (12), (13).
where [[omega].sub.RF] and [[omega].sub.IF] are the RF and IF angular frequency
, and [[omega].sub.RF] corresponds to [[omega].sub.LO] + [[omega].sub.IF].
Fig.4b and Fig.4c show the PLL output angular frequency
detection and phase detection error of both PLL respectively.
Regarding the complex viscosities in dependence of the angular frequency
This second definition contrasts from the first one by the exponential factor [e.sup.j[omega]t/2], and by using precise angular frequency
[omega], rather than frequency f; where time and angular frequency
assume a symmetric role.
The solution of (2.1) provides wavenumbers [k.sub.Z] as eigenvalues and U amplitudes of nodal displacements as eigenvectors of wave solution at given real valued angular frequency
Dynamic frequency sweep testing was performed at a strain of 2% in the angular frequency
range 0.5 to 500 rad/s.