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We illustrate such formal verification of Ptolemy II models with three case studies.
Two-dimensional optical models with three different geometrical designs and similar size were constructed to authenticate the theory.
The postbuckling response and failure of multi-stringer panels is analyzed using finite element models with three levels of approximation.
An integrated algebraic approach is developed to calculate stabilities in multiple decision maker graph models with three levels of preference.
Molecular field analysis (MFA) models with three different alignment techniques, namely, least squares, pharmacophore based and receptor based methods were developed.
Here, the algebraic approach is used to represent graph models with three levels of preference and to conduct stability analysis for such models.
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Locally designsal designs for logistic models with three and four parameters are investigated.
Optimal QSAR models with three and four variables, R2 > 0.95 and cross-validation parameter q2pre>0.88, were selected.
Stiffened panel models with three and two bays in the longitudinal direction are used to prescribe appropriately boundary conditions for the middle bay.
Numerical simulations are also performed to show the differences between the models with three and four bodies in the trajectories of the spacecraft.
The higher order models, with three and four degrees of freedom, in general, yield impedance characteristics within the range of idealized values, but exhibit excessive static deflections.
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