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To see this, below we present the atomistic calculations of the relevant quantities, and proceed to simulate example CNT-type distributions.
Wherever possible, empirical correlations enabling estimation of the relevant quantities characterizing the entrainment phenomenon studied are given or recommended.
The result is applicable in certain nonparametric kernel density estimation and regression problems where the relevant quantities are functions of both sample size and bandwidth.
The impact is found to be noticeable on post-neutron mass yields, which are the relevant quantities for a-priori waste assessments.
The expected values and the standard deviations of the relevant quantities are assessed and included in the optimization objectives, whereas the constraints are evaluated in the worst case.
The methodology adopted consists of writing all the relevant quantities in terms of the rotation vector, using expressions that remain exact in the finite rotation range.
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For grating spectra, the relevant quantity is the width in the cross-dispersion region at any particular wavelength.
It is worth mentioning that for practical purposes it is not the molar entropy but it is the entropy density of the material which is the relevant quantity.
For example, she said, the guidelines instruct judges to impose a sentence based not on the precise quantity of drugs for which a defendant was convicted, but on the "relevant quantity," which requires deciding whether a defendant caught with a small quantity of drugs knew about an entire shipment of which the small amount formed a part.
The delicate point is how to compute the subdifferentials (partial u(x_j)), and optimize them (i.e. compute derivatives of the relevant quantity w.r.t. u).
An operationalist or conventionalist would argue that the way such quantity-terms apply to concrete particulars depends on nontrivial choices made by humans, and specifically on choices that have to do with the way the relevant quantity is measured.
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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