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Reliable 143Nd/144Nd and 145Nd/144Nd ratios of the mixed solutions were obtained by using the exponential law and selected Sm isotopic compositions.
The isobaric interference correction using the exponential law and selected Sm isotopic composition yielded accurate 143Nd/144Nd and 145Nd/144Nd ratios for the mixed solutions, although there is a systematic increasing trend in the corrected 143Nd/144Nd ratios with increasing Sm/Nd ratios.
Therefore, an iterative procedure is used, which accounts for the curved trajectories that are obtained, when mass discrimination is described using the exponential law [ 31].
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Besides, this guidance law uses the exponential reaching law, which requires the upper bounds of observation errors.
We model P 1 using the exponential function, standard discrete Pareto function (power law) or the generalized discrete Pareto probability distribution function.
Due to the fact that the power law cannot be used to model all the physical problems, Caputo and Fabrizio [40] have suggested an alternative concept of differentiation using the exponential decay as kernel instead of the power law.
The exponential law (Russel et al. 1978) was applied for mass bias correction using 179Hf/177Hf = 0.7325 (Patchett et al. 1981).
In this paper, we approximate this behaviour by using an exponential law to decide the packet marking probability [17].
In this work, the myocardium was modeled using the transversely isotropic exponential law introduced by Guccione et al. [3], a model used frequently in the literature.
Just as for other transient phenomena, 26, 27 we can fit R t) nicely using a stretched exponential law, i.e.,, where α and τ represent the numeric exponent and the transient time, respectively.
For further reference, based on the monthly emission of radioCs until the end of 2011 estimated by TEPCO 2012, the primary emission decrease can be fitted using two exponential laws with half-time constants of 2.3 days (±2 %) and 48 days (±23 %).
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