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In order to characterise the non-linear response of the unsteady heat release rate to acoustic forcing, a harmonically varying velocity fluctuation, for which both the forcing frequency and normalised forcing amplitude were varied, was imposed.
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On the femtosecond time scale of JIF t) decay, shown in Figure 37c, the dynamics of the solvent fluctuations (for which the MD simulation gives a correlation decay time of ∼0.1 ps) and their effects on the X vibration can be ignored.
In addition bounds on the input fluctuations are developed for which the system is stable.
Clinical depression - as opposed to the minor fluctuations of mood for which Dodie Smith bracingly recommends "noble deeds and hot baths" as the best cures - is a serious illness, requiring careful and sympathetic treatment.
It would, however, be difficult to postulate a spurious source of bias to explain such fluctuations and correlations for which the predominant component was evident not only at low frequency and large scales but also with each of the different elements examined.
One might expect this fluctuation-driven effect to decrease in larger populations, for which fluctuations in population size become smaller relative to the total.
Tandem duplication events have a tendency to be retained when involving genes for which fluctuation in copy number is unlikely to affect downstream genes, such as those at the end of or in flexible steps of pathways [ 76].
However, music is a non-stationary process, sometimes characterized by sudden changes (e.g., in the onset of a note or in attack transients of a percussive instrument) which require a high time resolution, or by quasi steady-state sequences embedding important small fluctuations (e.g., vibrato) for which a high frequency resolution would be necessary.
The classical view on eukaryotic gene expression proposes the scheme of a forward flow for which fluctuations in mRNA levels upon a stimulus contribute to determine variations in mRNA availability for translation.
What is particularly evident is that the galleries into which the PVA-mers first intercalate are those for which fluctuations in the clay sheet, due to its elastic properties, cause the edge of the gallery to widen significantly beyond the notional average d-spacing.
To analyze the influence of vibration on gelling in stability stage, time of thirty-nine hours and forty-five minutes was set for gel cross-linking in the thermostat, and then the core (III) was taken out and fixed on the vibrating device for fluctuation treatment which also lasted for 25 min.
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