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The ODE solution (smooth trajectory), which describes the concentration of a hypothetical molecule, may after incorporation of system noise take the form of the SDE solution (fluctuating trajectory) for a particular realization.
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First, categories in GO Molecular Function, and Biological Process ontologies associated with oxidative phosphorylation showed fluctuating trajectories (up and down) in all three prominences.
Given the fluctuating trajectories of Microsoft stock and the local dot-com economy, the new Willows Lodge may ultimately prove to be an idea whose time comes and goes and comes again.
Second, ontological terms containing the words "histones" or "chromatin" also had fluctuating trajectories, potentially indicating dynamic changes in transcription and DNA packaging.
Firstly, although the time interval between disability measures was only 18 months for the first three study waves, we may have missed some disability transitions which could have resulted in fluctuating trajectories.
This also means a fluctuating shear modulus along the trajectory of the chain.
However, the trend in CSMRs for NCDs over the study period does not show any significant upward or downward trajectory, with values fluctuating between 4.5 and 23 deaths per 10,000 PYs at various non-regular intervals over the study period.
The numbers of V1 and CA1 fields along the trajectories fluctuated together in a highly correlated fashion for both trajectories.
In both these cases, trajectories fluctuate widely about the fixed point of the averaged system but remain within a bounded neighborhood, consistent with the idea of stability in the small-ϵ limit.
For ρ = 0.6, the trajectory of the system is fluctuating during the previous period of the time.
For 0.6 < ρ ≤ 1, the trajectory of the system is fluctuating during the previous period of the time, and it will tend to the steady state later.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com