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Each plot shows results of 10 000 lava flow simulations, generated using the probability distributions shown in Figure 5 and specified in Table 3. Field observations of 20 lava flows are given in Table 1.
The comparison is made using the probability distributions on the pole positions, as follows.
Upon the results of EMD of EEG, the proposed measure computes Renyi entropy [ 23] using the probability distributions of IMFs at each scale, followed by averaging Renyi entropies over multiple scales.
Using the probability distributions given by equations (5 - 10) and by subtracting from the transition variables the conditional expected values respectively, we have the following stochastic differential equations for the staging state variables: (10) where.
Using the probability distributions of the transition random variables given by equations (5 - 10), the transition probability P{ (t + Δ t)| (t)} is (14) where (15) and (16) where for l = 1,..., k1 - 1 and for r = 1,..., k2 - 1.
Then, using the probability distributions given by equations (5 - 10), the transition probability of this Markov process is, to order of o(Δ t): where I0 t) = J0 t) = N t), a(l u, i u ; t) = I u (t + Δ t) - I u (t) - l u + i u, u = 1,..., k1 - 1 and where b(m v, j v ; t) = J v (t + Δ t) - J v (t) - m v + j v, v = 1,..., k2 - 1.
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Let us say that each node picks a slot using the probability distribution P. Then slot define an idle slot if no nodes choose it, and also as a collided slot if more than one node chooses it.
The overall gas phase distribution in bubbles and emulsion phases was estimated by using the probability distribution function of local voidage fluctuations in the bed.
The approach is simply based on efficiently tuned real-coded crossover operation using the probability distribution function of Gauss distribution to generate rather dissimilar strings which may be candidates of possible solutions.
A dispatch method using the probability distribution of wind power forecasting errors in WF cluster is proposed.
Compared with the deterministic methods, probabilistic methods using the probability distribution of wind power forecasting data will be highly focused in the future.
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