Exact(1)
qPCR was used to interrogate five candidate genes (chosen at random) associated with CpG islands, four of which exhibited altered expression in ObC relative to LnC as predicted by the array (Dbp, Gm129, Gna14, Zbtb16; Fig. S3 ).
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In this paper, we prove the generalized Hyers-Ulam stability of random homomorphisms and random derivations associated with the generalized additive functional equation (1.3) in random Banach algebras.
There is substantial variability in the possible timescales and magnitudes of random turnover associated with each random dynamic phase i > 2, exemplified by the complicated and bimodal structure of the posteriors on these parameters.
That is, an estimate of the random variability associated with the individual measurements, when the fixed effects and random (cow) effects were accounted for.
We observed a monotonic decrease in the accuracy of GRAPE/GARLIC with the addition of random bonds between or within residues to hypothetical modular natural product structures, with each random bond associated with a 5.42% decrease in accuracy.
A random intercept for each candidate was introduced, although it was not possible to model the random effects associated with individual institutions simultaneously.
Specifically, the random fluxes along edges connecting identically labeled states are replaced by the mean fluxes along those edges, while the random fluxes associated with edges connecting distinguishable states are left unchanged.
This reduces the random variability associated with the experimental units, and increases the power of the hypothesis tests.
In both cases the resulting estimates are subject to random errors associated with the finite averaging time.
Response predictions in structural dynamics are in general very sensitive to random uncertainties associated with the underlying predictive mathematical model.
We define three invariance conditions for the joint distribution of sequences of selfadjoint noncommutative random variables associated with these coactions.
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