Exact(1)
Each AN is connected with every other AN by means of connections of random strength (For clarity, only connections between neighboring AN's are shown).
Similar(59)
A set of random strengths could be theoretically generated by randomly selecting residue pairs from the appropriate set (all, contacting, or distant) and repeating the calculation for determining the coevolution strengths but using the ZRes scores of the originally identified coevolving pairs as weights instead of the ZRes scores for the randomly selected sites.
The final coevolution potential for each pair of amino acids was then calculated as the difference between their coevolution strength and the expected value of their random strength divided be the square root of the variance of their random strength.
The results from these explicit three-phase analyses have been compared to the outcome of simulations where the effects of microstructure were mimicked by assigning random strength values drawn from a Weibull or Gauss distribution to a regular triangular lattice.
In particular, the influence of random field strength on these features are revealed.
The obtained criteria depend not only on upper and lower bounds of delay but also on mathematical expectations and variances of random coupling strengths.
The identification of the probabilistically dominant failure modes of complex structures and the estimation of their reliability can be reduced to the solution of an optimization problem in the standardized normal space of the variables that control the random loads applied on the structure and the random strengths of its members.
The network consisted of spiking neurons with all-to-all connectivity and random strengths.
To determine the extant to which these coevolution strengths diverged from random chance, the expected means and variances for the random variables representing random strengths were mathematically determined.
It is affected by multiple factors, the number, the frequency, and the effect of each allele influencing the trait [ 14] together with the interactions introduced by epistasis [ 15], the correlations induced by linkage disequilibrium [ 16, 17], the strength of selection, the rate of occurrence and distribution of new mutations [ 18, 19], and the strength of random genetic drift [ 20, 21].
In that limit the coercive field computed numerically roughly scales as the fourth power of the random anisotropy strength and as the sixth power of the grain size.
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