The appeal in this definition to 'ordinary objects' requires reflection, but as a first approximation, it serves to rely on the sorts of examples Aristotle himself employs when motivating hylomorphism: statues and houses, horses and humans.
Even if the World Bank needs to re-evaluate its figures in a few years time - and it almost certainly will, because data collection is bound to improve – these best approximations serve at least to remind us that the job of fighting poverty is far from over.
A low-order Padé approximation serves as a model reduction technique that simplifies the controller design, while keeping a reasonable accuracy for the response models.
The following approximation, for small angles, serves to evaluate the setup sensitivity (Δ h) for the TM height, which results in 7mm.
We note that although the 'test' samples Ξ serve primarily to understand and assess the quality of the RB approximation and a posteriori error estimators, the 'train' samples Ξ train serve to generate the RB approximation.
Comparative finite element analyses reveal that apart from the cases involving transversal compression, where the application should be handled with care, the present solution procedure can serve to obtain good approximations of the stability behavior in the early postbuckling region with negligible computational effort.
While automated alignment and annotation algorithms serve to provide a good approximation of most EST identities, manual scrutiny and annotation is necessary to improve fidelity.
The predicted efficiency is in reasonably good agreement with experimental data from the literature and, hence, served to validate the physics models and approximations employed.
The objectives serve to define, at least as a first approximation, the relevant kinds of land use.
We denote the particular samples which shall serve to select the RB space - or 'train' the RB approximation - by Ξ train.
Even better approximations were found by using polygons with more sides, but these only served to deepen the mystery, because no exact value could be reached, and no pattern could be observed in the sequence of approximations.
