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As in [29], for a given potential (V in RH_{q}) with (qgeq n/2), we define the auxiliary function begin{aligned} rho(x):= frac{1}{m_{V}(x)} = sup_{r>0} biggl{ r : frac {1}{r^{n-2}} int_{B x,r)} V y),dy le1 biggr}.
We further investigated in how far the results of the 2 experiments are comparable given potential differences in the strength of the treatment: heating in the new experiment and insulating in the first experiment.
It is uncertain if similar results would be obtained in a larger, multicenter, retrospective study given potential differences in physician treatment patterns.
Given potential fluctuations in currency rates, this number could easily double or triple in a period of time measured in months, not years.
The review comes a week after a scathing Commons defence select committee report described the number of frigates as "woefully low" and expressed doubts about whether even the existing number of 13 was sustainable, given potential delays in providing replacements.
Postoperative calcium management is challenging following pediatric thyroidectomy given potential limitations in self-reporting symptoms and compliance with phlebotomy.
We acknowledge that this assumption might not be absolutely true (given potential differences in susceptibility and other confounders).
Continuous variables will be summarised by use of standard measures of central tendency and dispersion, including median and inter-quartile ranges given potential skewness in the data.
Given potential differences in the healthcare systems between France and the USA, the relevance of these US data to the French context is unknown.
Given potential differences in preferences between administration schemes, information on patients' preferences for these new administration schemes would be extremely useful for health professionals and decision-makers [ 11].
However, the differences of only one case are negligible, especially given potential uncertainties in projecting model parameters forward for ten years.
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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