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Using the Google 1-gram data collected at the 1-year time resolution over the period 1800 2008, we quantify the annual fluctuation scale of words within a given corpora and show that languages can be said to "cool by expansion". This effect constitutes a dynamic law, in contrast to the static laws of Zipf and Heaps which are founded upon snapshots of single texts.
It has also been suggested that if one invokes some underlying statistical dynamic law (such as the GRW law noted above), one need not posit a branch system hypothesis in addition to initial low entropy to derive the thermodynamic results.
Nonlinear kinetic behavior like that in Fig. 1 often attends chaotic chemical reactions defined by Field and Györgyi [27] as "oscillatory but aperiodic, apparently random behavior appearing in a system not subject to stochastic perturbation but entirely governed by a deterministic dynamic law".
Normal mode analysis (Levitt et al., 1985) and related approaches, such as elastic network models (Haliloglu et al., 1997), simplify the complex dynamic law that governs protein motion by approximating it near an equilibrium conformation.
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In order to study dynamic laws of surface movements over coal mines due to mining activities, a dynamic prediction model of surface movements was established, based on the theory of support vector machines (SVM) and times-series analysis.
They required a defeasible principle of inertia: the presumption that any given condition will not change, unless required to do so by actual events and dynamic laws.
Chinese women in Canada, for example, saw breastfeeding as part of 'natural or dynamic laws by which humans live…the process of change that reflects and influences both a mothers' health and that of her baby…' [ 30], p. 1023].
Such forces are exhibited in Weber's electro-dynamic law of attraction; they are produced by the Kirchhoff Thomson adjoint fluid acceleration resistance acting on a body moving in a fluid, and they are also involved in the manual control of aircraft or spacecraft that depends on accelerations of the craft itself.
In our model, in particular, one could conjecture that the set of parameters that give maximum dynamic range and power law response function for the ganglion cell would correspond to a critical branching process [41] in the information transmission in the retina.
In this extended model, the distribution function in describing the real part of the complex permittivity can be scaled in terms of the activated dynamic scaling law rather than Vogel Fulcher law for the uniaxial relaxor of SBN50.
Simulation results demonstrate that managing trucks with such dynamic control law improves productivity.
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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