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Parametrized Hierarchical Procedures (PHP) represent a program as a hierarchy of procedures that call each other, each implemented by a neural network.
Our broad approach is to obtain system-level guarantees from appropriate abstractions of the components with compositional and hierarchical procedures, and to exploit the structural systems properties for computational efficiency.
The difference is that in totalitarian regimes neither the institutions nor the constitutional provisions act as effective checks on the power of the single centre: they are essentially facades for the exercise of power through hierarchical procedures that subject all the officials of the state to the commands of the ruling individual or group.
Consequently, in this study, the hierarchical procedures for bridging DPD and MD methods were used to study the effects of volume fractions and different mixing methods on the phase and the structural arrangement.
The method has been shown to perform better than the other hierarchical procedures [ 59] because it tends to produce robust, dense, spherical clusters with distinct characteristics [ 60].
Second, a non-hierarchical analysis was performed (K-means method) to validate and adjust the results of the hierarchical procedures, using the initial cluster centroids from Ward's method as seed points [ 40, 42– 42].
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This study describes the proposed hierarchical procedure and the primary treatment selection prototype.
A hierarchical procedure is developed to identify maximum targets for the overall yield of the process.
In this paper, we present a hierarchical procedure for bridging the gap between atomistic and macroscopic modeling passing through mesoscopic simulations.
A hierarchical procedure employing direct graph (digraph) modeling, mixed integer linear programming, and the Analytic Hierarchy Process (AHP) is presented to select the optimal DN configuration.
A three-level hierarchical procedure is proposed for carrying out the identification of waste sources, the generation of pollution prevention alternatives and mathematical optimization.
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