Numerical results. To investigate the validity of the formulations presented in the previous sections for stress analysis of rotors, several illustrative examples including rotating disks with constant and variable thickness; and a complex rotor are analyzed in this section.
Numerical results. In this section we first consider a stock loan contract with an automatic ter- mination clause a (a ∈ [0, q]), r = 0.05, γ = 0.07, σ = 0.15, δ = 0.01, q = 100 and S 0 = 100. We will give six numerical examples to show that how the liquidity, optimal strategy b(a), initial value fa(x) and initial cash q − c depend on automatic termination clause a, respectively.
Numerical results. The numerical technique we use is the same as has been used before for the spinless kicked rotator [50, 51]. A combination of an iterative procedure for matrix inversion and the fast-Fourier-transform algorithm allows for an efficient calculation of the scattering matrix from xxx Xxxxxxx matrix. The average conductance ⟨G⟩ was calculated with the Landauer for- mula (2.15) by averaging over 60 different uniformly distributed quasi-en- ergies and 40 randomly chosen lead positions. The quantum correction
Numerical results. The calculated response from the acceleration measure- ments in the mine were given as vectors of node displace- ment vs. time. The adhesive stress loads between rock and shotcrete was calculated by use of the stiffness of the elastic springs in the model. The results from eight sets of measurement data are compiled in Figures 8–9. The adhesive stresses between shotcrete and rock, perpendicular to and parallel with the rock surface, are shown as one bar representing each measurement point, i.e. x = 4.5, 7.5, . . . ,
Numerical results. In this section we illustrate the effectiveness of using the W-GCV method in Lanczos-hybrid methods with Tikhonov regularization.
Numerical results. In this section we demonstrate that using HyBR to solve the regularized least squares problem at each Xxxxx-Xxxxxx iteration of the variable projection method can be beneficial to super-resolution and blind deconvolution imag- ing applications. More specifically, we show that one can achieve sufficient objective function and gradient norm decrease, as well as more accurate pa- rameter estimation, by using the HyBR method in a reduced Xxxxx-Xxxxxx framework. Furthermore, we illustrate that sufficient reconstructions can be computed without requiring a priori selection of a regularization parameter. Super-Resolution
Numerical results. In this part we investigate the PHYLS performance of FD and its HD counterpart in presence of both colluding and non-colluding EDs. The spatial density of the π small-cell BSs is set to be λ (d) = 4 per km2. The (per-user) BS and UE transmit powers are kept fixed at pd = 23 dBm and pu = 20 dBm, respectively. The noise spectral density at all receivers is −170 dBm/Hz and the total system bandwidth is W = 10 MHz. The MC simulations are obtained from 20 k trials in a circular region of radius 10 km. The results are taken over two resource blocks. In the FD small-cell network, the DL and UL run simultaneously, whereas in the HD small-cell network, the DL and UL occur over different resource blocks. Furthermore, in the FD system, we take into account different interference cancellation schemes. In particular, in the DL, we consider the cases with and without SIC capability at the UE side. More- over, in the UL, we capture the performance under different perfect SI cancellation and NLOS residual SI with a variance of −55 dB [5].
Numerical results. Fig. 3.2 illustrates the system's outage probability against the transmit power for all possible scenarios in a network setting with (a) = 2 and (b) = 3 relays. Our results are numerically optimized with respect to the power splitting parameters ij. We observe that our proposed protocol outperforms the conventional multi-hop model, where each node sends a signal only to its subsequent node through orthogonal channels. Further- more, the figure shows that an increase in the number of hops results in an improvement of the outage probability performance, with the cases of = 1 and = 2 revealing the most significant difference. In addition, it can be seen that as the number of hops increases the diversity gain is also improved, which complies with our analysis indicating a diver- sity order equal to . Finally, we can see that the theoretical values perfectly match to the simulation results and this observation validates the accuracy of our analysis.
