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Note that although not theoretically correct, simulations have shown that this assumption has indeed very little effect on the true result.
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Note that the convergence of the modified IWF algorithm is always found in simulations, although it is not theoretically guaranteed.
Although it is not theoretically guaranteed, we observed that the normal components are always selected within the first few iterations in the datasets we tested, unless some components are indeed zero or very close to zero.
This issue is investigated by extending the numerical analysis to mean-reverting non-stationary region of the parameter space, although the proposed estimator is not theoretically designed to handle this case.
We found that although the former approach is not theoretically justified for complex numbers, its results are comparable to, or even better than, the SOCP solution.
Although, our approach to KT was not theoretically based, theories do support what we did.
Although the process of sampling was not theoretically ideal, this study's systematic data collection process was considered acceptable, because constant comparisons between concepts were still being made during analysis [ 18].
It is clear that measurement of impedance at a low frequency is most closely correlated with ECW volume although not the theoretically optimal frequency of zero frequency.
Not theoretically, but in practice.
Consequently, classification is not theoretically innocent.
Although not completely understood theoretically, we found that charge trapping at the interface between the liquid and the dielectric surface had a dominant role in limiting energy production.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com