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.
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.
In addition bounds on the input fluctuations are developed for which the system is stable.
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.
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.
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].
Yet, these fluctuations have a constant regime for which certain functional adaptations exist.
