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A complete asymptotic expansion for the eigenvalue moments in the nth cluster is obtained and some coefficients of this expansion are computed.

Finally, combined with corresponding charging power and scenarios, the total charging load of the PrEV cluster is obtained.

When the requirements of all the segments are met, the temporary process regularity of the PrEV cluster is obtained.

The topology for N = 1 (one cluster) is obtained by discarding all the clusters except the one on the top left.

For the nodes in the first cluster, ai, ksubjects to binomial distribution, and therefore the probability of receiving k packets successfully for each node in the first cluster is obtained with Equation (4.11).

The time-evolving electronic density of the excited cluster is obtained from the time-dependent KS orbitals φi r,t), in a way similar to Equation 4. The time-dependent KS wave functions are obtained by propagating the initial wave functions φi r,t0) = φi(r) using the split-operator technique.

Next for each acetylated peptide the isotopic cluster was obtained, including the monoisotopic peak (noted as M0), the M + 2 peak, and the M + 4 peak.

In other words, the AOAs of scattered paths of a cluster are obtained as follows.

Then, the amount of transports needed to circulate within the cluster was obtained by applying program MILP.

The simulation continues until the steady state of charge (SOC) distribution and behavior regularity of the PrEV cluster are obtained.

The heat shock gene cluster was obtained by clustering stress-response microarray data conducted by Kilian et al. [41].