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Firstly, the RSM with the face centered central composite design (FCCCD) has been employed to construct mathematical models required in multi-objective optimization problem definition.

This work focuses on improving computational tools and models required in order to make robust decisions based on high quality information, with specific application to batch processes.

Unfortunately, this method cannot be directly extended to higher order BE models required in high mobility environments because the choice of polynomial expansion creates numerical difficulties for higher BE models.

This enabled the identification of anatomical reference points, planes and axes on the digital models, required, in turn, for calculation of the angulation, inclination and vestibular prominence of each tooth, as well as linear and angular measurements, for example, the intra-arch diameters [16].

Bivariate G models required in ASReml on average 12.5 iterations, compared to 8.5 iterations for the ST models.

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Results show that the approach is feasible and that can easily handle different types of environment modeling, required in the different design phases, and for each of them it may support simulation, emulation, or other verification techniques.

Just what does the CM model require in the case of complex systems in which we cannot trace individual causal processes, at least at a fine-grained level?

Our model requires, in addition to cross-inhibition, electrical coupling between oscillatory units to express AP pattern in the case of short duty cycle, as described previously [16].

However, testing the predictions of our model requires, in addition, detailed knowledge of the genotype phenotype relation.

Ten years ago, 21 percent of all models required premium, which in the United States typically carries an octane rating of 91 or higher; today, the number is 17 percent.

Density structure models are required in some geophysical applications, such as geodynamic modeling (e.g., Hager et al., 1985).

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