In our data, however, a flattening transition of the average behavior is only seen when the high temperature data are used (red line) and not when all data are used (purple line).
However, the behavior of the transition for the average path length 〈L〉 (restricted to those nodes in the giant component) in panel (d) shows a rise-and-fall behavior indicating that combining few layers results in the merging of unconnected components at the aggregate level, causing a fast increase in its length.
Although the size distribution of the embedded Pb particles can broaden the melting transition, trends of the average size- and the elastic strain-dependent melting are still clearly observed for these embedded Pb precipitates.
The number of distinct transitions, the average length and the simple dissimilarity d s d for each pair of test cases are shown in Table 3.
The second part collected information about local transition protocols and estimates of the average annual numbers of young people who were considered suitable for transfer to AMHS, actually accepted by AMHS and remained with CAMHS beyond the transition boundary.
Furthermore, as seen in the same plot [Fig. 4(B ], for high lethality of mutants (a small value of κ), there is clearly a sharp transition in the average distance of the ancestors, which identifies the error-threshold.
The slopes of conformational heterogeneity (1 – S) versus temperature were significantly different (p=1 × 10 62, paired T-test) on either side of this transition range: the average slope for the low-temperature fit lines (2.5 × 10 4 K–1) was an order of magnitude smaller than for the high-temperature fit lines (2.6 × 10 3 K–10 3
If transversions occur less frequently than transitions, the average estimates of θSyn will be lower at sites where synonymous transversions are possible, such as third codon positions of fourfold degenerate amino acids, compared with sites were only synonymous transitions are possible, such as third codon positions of twofold degenerate amino acids.
The estimated prior transition matrix and the average of the posterior transition matrices for the time homogeneous model are hat{mathbf{P}}=left(begin{array}{ll} 0.776 &0.224 0.068&0.932 end{array}right), left(bar{mathbf{P}}|Delta I_{it}right)=left(begin{array}{ll} 0.573 &0.427 0.174&0.826 end{array}right).
It is well known that the unfolding times of proteins, τu, scales with the external mechanical force f as τu="τu0exp(−fxu/kBT), where xu is the location of the average transition state along the reaction coordinate given by the end-to-end distance.
