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We derive reduced-order models for the dynamics in each time scale and outline a rational controller design framework that accounts for this time scale separation.
For this time scale, take (e_{Pi^=1), we attach the shift operators begin{aligned}& delta (s,t)=st, & tilde{delta }(s_{1},s_{2})=s_{1} cdot s_{2} end{aligned} and (Pi^= {q^{n}: q>1, nin mathbb{Z} }).
For this time scale and any (tin mathbb{T}^), take (e_{Pi^=1), we attach the shift operators delta (s,t)= textstylebegin{cases} st,& t>0, frac{t}{s}, & t< 0, end{cases}displaystyle qquad tilde{delta }(s_{1},s_{2})=s_{1} cdot s_{2} and (Pi^= {q^{n}: q>1, nin mathbb{Z} }).
Hence, for this time scale value, the sensitivity of the simulation results to changes in time scales of interactions should be minimal.
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A simple dimensional analysis in the case of a viscoelastic stress fiber leads to the following time scale for mechanical stimulus transmission: This time scale is very much larger than the time scale for rapid mechanotransduction., An additional issue is that in both the time scales given by Eqs.
(See pages 18-19 of [2] for more information regarding this time scale).
Instead, it merely means that it does not appear to be advisable to use this time scale for the construction of financial networks for data of a similar type as the one used in this study.
However, for viability, fast charging at this time scale needs to also occur at a price that is acceptable to consumers.
This time scale is different than the well-known time scales and since for.
This is probably similar to what happens on isolated islands, where the time scales estimated to reach speciation are of the order of tens of thousands of years (and no one would ever get funding for an experiment on this time scale -).
The numerical strategy introduced in this paper is a general procedure to account for this time-scale disparity.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com