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The examples considered in this work come from crystallization processes.
The three examples or sets of examples considered in this section are only examples of the kinds of moral norms (praecepta) which Aquinas considers are excluded by any sound conscience from one's deliberations about what to choose.
For the drilled shaft examples considered in this study, it was found that the direct application of quantiles in the simplified RBD format is more reasonable for layered soil profiles.
The practical examples considered in this paper provide a demonstration of the significant improvement possible in terms of computational loading suggesting this is a promising avenue of further development.
The optimal sampling strategies, in terms of the number of subjects and the number of samples per subject, were found to be substantially different between the examples considered in this work, which highlights the fact that the designs are rather problem-dependent and can be addressed using the methods presented.
Let us now introduce the two examples considered in this paper.
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Examples considered in the paper illustrate a remarkable accuracy of the approximation in comparison with exact integration.
Note that switching to the integral form (27) will not resolve the lack of uniqueness issue for the toy example considered in this subsection.
We conclude that even the toy example considered in this section is not trivial to solve (with the strict error-control setting (7), ode15s also managed to produce the curves shown in Fig. 4).
The first example considered in this section is using a negative selection clause, WHERE Age 22, so it is also an example where v-tables queries would not report sure information.
In the example considered in this paper, both the number of raters and the proportion of missing data were large, and therefore to find a model that could be fitted within the limits of computational feasibility was an important consideration.
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