where [f.sub.x], [f.sub.y] are the horizontal and vertical output of the

imaginary part of Riesz transform represented by monogenic signal.

The refractive index, (b) The real part of dielectric constant, (c) The

imaginary part of dielectric of the sPS loaded with a 10% concentration of AI2O3 nanoparticles irradiated at different gamma doses with wavelength.

The received parameters of the PI controller and the set-point results, for the three desired pole with the same real, and with a different

imaginary part, Re{[lambda]} = -0.35 Im{[lammbda]} [member of] (0.25; 0.35; 0.5) are shown in Table I, while the Load disturbance results have been presented in Table II.

Now the

imaginary part of the dielectric function in the QGP medium is

where [R.sub.b]([omega]) and [X.sub.b]([omega]) represent the magnitude of the real part of the complex [Z.sub.b]([omega]) and the magnitude of the

imaginary part of the complex [Z.sub.b]([omega]), respectively.

In the mixtures of the epoxy resin with DDM, modified by adding the nanofiller, the [alpha]-process is barely seen in the

imaginary part of the dielectric permittivity at high temperatures because it is partially masked by high conductivity (Figure 4(a)).

Acoustic impedance measurements showed that quite accurate tuning was achieved with all options (

imaginary part changed sign at 3000-3500 Hz range).

In these studies, the existence of the gaps in the spectrum of the relaxation times obtained within the Glauber dynamics which caused the real part of the frequency dependent susceptibility reveals a sequence of plateaus as a function of log [omega], whereas the

imaginary part displays a sequence of maxima.

The real and

imaginary parts of the dielectric functions for the noncubic phases have been obtained by diagonalising the dielectric tensors for every energy point and averaging over the resulting main diagonal values, respectively.

It can be seen in Figure 8(b) that the

imaginary part of the RI shows a declining trend in the range 440 nm-675 nm, and then, it becomes almost stable in the range 675 nm-1020 nm.

A complex number is a complex (a blend, hybrid or composite) of a real part represented by a real number and an

imaginary part also represented by a real number, in the form a + bi, (or sometimes x + yi), where a is the real part and b is the

imaginary part.

In Figure 6 is shown the M ([omega])

imaginary part of the modulus for a system formed by Ti[O.sub.2] with a molar fraction of activated carbon X = 0.09, obtained by heating the sample in a helium atmosphere and applying a potential of 0.5 V, as shown in figure 5 the points correspond to the experimental data and the solid line corresponds to the setting obtained using equation 1.