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Here, although degradation is the slowest dynamical variable, other processes such as dephosphorylation can also be slow, and therefore there is no clear time scale separation.
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In both cases, a clear time-scale separation occurs.
In addition to the dampening of leaf-scale reductions in transpiration at larger spatial scales, our modelling results also suggest a clear time-scale dependency at some of the sites and for some variables.
It must be noted that the Hunan hypothesis was more detailed than the Tibet hypothesis and so the former would be likely to be consistent with more TMRCAs; however, overall it is clear that the time scale inferred from the data is in better agreement with the Hunan hypothesis.
Most climate models focus on 100-year forecasts because the effects of different emission scenarios are clearer on that time scale.
"Before this discovery, it was not clear what the real time scale of planet formation was," says astronomer and lead author Johny Setiawan.
It is, however, not clear how the multiple time scale dynamics at one level gives rise to multiple scale dynamics at another level.
It is clear that periodic time scales are regular, so we can obtain some of their nice properties (such as the above closedness property), and introduce and study well-defined functions on them.
The main difference between the distributions for anesthetized and recovered conditions was the cutoff in the bottom curve, which is expected because there is a clear separation of time scales in the AN data (Fig. 5b; compare with FB data in Fig. 5a), so each neuron typically spikes at most once per avalanche.
These types of approximations can produce reasonable dynamics if there is a clear separation of time scales, in which case setting the derivatives of the fast dynamics to zero causes only minor differences in the dynamics.
For larger inhomogeneities the time required for clearing the infection can easily exceed months (Figure 9), making additional medication necessary to clear the infection on a reasonable time scale.
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