To collect sufficient data, we conducted four FDM simulations using four different realizations of random media.
We repeated the parameter estimation process by using 100 different realizations of the data.
To show the effect of different TP requirements, we performed simulations under our standard simulation setup for different mean data rates μ d at TPs and, for each mean data rate, we used 100 different realizations of the simulation scenario.
In Tables 10 and 11 and Figures 16 and 17, the F R among traffic flows in the network using e-TICA is compared with that achieved using TICA for 25 different realizations of the random topology for the 36-node network and the 100-node network, respectively, using (8).
For statistical significance, we perform 100 trials, where each new trial uses a different realization of the random graph (i.e. a new RGG).
By using different notch root radii and microstructure realizations of aggregates of grains, statistical information regarding the distributions of stress/strain gradients and fatigue indicator parameters provides useful insight into the microstructure dependence of driving forces for fatigue crack formation at the scale of mean grain size.
Different realizations of passive elements using new technique have been proposed.
Different realizations of ACNs are used to systematically calculate efficient apertures for fluid transport inside differently sized fractures as well as fracture intersection and entry properties.
Monte Carlo simulation is then used to repeat this process for many different realizations of conditions, resulting in a modeled relationship between yield patterns and the relative importance of soil and management yield constraints, both of which can be computed in the controlled simulation environment.
