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For a multifractal time series data, there exist a number of Hurst exponents for different q orders of fluctuation.
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Department of Interior 1994) and, according to demographic surveys, has since experienced several orders of magnitude fluctuations in density over the past two decades (U.S. Fish and Wildlife Service 2010).
where L ( n ) denotes the n th order of quantum fluctuations δ a ˆ j in the Liouvillian ℒ.
To achieve this active control, the problem is reformulated in the harmonic domain with regard to the main order of the fluctuations.
Even if the memory capacity of the system is short term, but on the order of environmental fluctuations, it could conceivably impact fitness and therefore play a role in an evolved adaptive behaviour [28].
Though short term memory can be important because even short term behavioral differences may have fitness consequences [59], especially if they are on the order of environmental fluctuations [28], [60] long term memory is generally the first thing that comes to mind when memory is discussed [61] [64].
Large fluctuations are visible in the number of contacts per individual, varying over 2 or 3 orders of magnitude, and the largest fluctuations are observed in the case of patients and caregivers.
Time series are plotted combined in one plot or stacked/tiled with individual amounts or concentration axes for better comparison of fluctuations with different orders of magnitude, and exported in text and Excel formats for further processing.
This is because the subthreshold fluctuations are orders of magnitude smaller than the huge nonlinear oscillations that erupt beyond the bifurcation point.
Population-size fluctuations over several orders of magnitude are observed in various animal species, ranging from parasitic worms to insects and even small mammals (Berryman 2002).
Allow for seven pounds of fluctuation.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com