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These numerical studies verify the influence of coefficient of variation of the random input and, in the same time, of the perturbation parameter on the first four probabilistic moments of the final solution vector.
Variation of the random field parameters by use of a factorial design resulted in variations in especially the buckling modes and consequently the average force, and the same buckling modes found in the experiments were obtained in the simulations.
In addition to the implementation of the integration procedure used for the Eshelby tensor calculation, this work also presents a variation of the Random Sequential Adsorption algorithm modified for periodic structures.
Thus, we could look at this type of the protocol as a variation of the random subset heuristic for finding the best k-clique — in each round a node has a small subset of all neighbors available, in this subset v must find k−1 neighbors with which it can create the best clique.
To evaluate the variation of the random baseline prediction, we repeated the process 10 times.
The calculated standard error reflects the variation of the random errors from 8 technical replicates, in other words, the variability of each probe.
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This constitutes the best trade-off in terms of, on the one hand, the ability to capture the spatial variations of the random field and, on the other, the persensor channel bandwidth available to encode observations.
The intuition behind this fact is that, despite that spatial variations of the random field are better captured by a denser grid of sensors, for a total bandwidth constraint the available rate per sensor progressively diminishes, this resulting into a more rough quantization of the observations.
Nevertheless, definition of the whole storm history, including the variation of the main random variables during the storm cycle is not taken into consideration.
Relationship between pillar reliability index and each of the coefficients of variation of the basic random variables was used for optimal design of pillar diameter.
The influence of the variation of each random parameter as well as of the probability distribution, coefficient of variation and correlation length of the stochastic fields is quantified.
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