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 [omega].

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 (Fig.

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 U.

Dynamic frequency sweep testing was performed at a strain of 2% in the

angular frequency range 0.5 to 500 rad/s.