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However, with the exception of few efforts, most of these techniques rely on a reduced order representation of the original complex model, resulting in a loss of information.
The analysis provides a first order representation of the effects of scale, mass fill, impeller rotational speed, blade height and blade bevel angle on the torque.
To that purpose, two basic tools are employed: on the one hand, a reduced order representation of the system which, based on proper orthogonal decomposition (POD) expansions, captures the most relevant dynamic features of the solution.
To that purpose, two basic tools are employed: on the one hand, a reduced order representation of the system which captures the most relevant dynamic features of the solution.
We find a key step in using the PMA equation for mesh generation in fourth order problems is the adoption of a high order representation of the transformation from the computational to physical mesh.
It is demonstrated that the fractional order representation of complex processes appearing in various fields of science, engineering and finance, provides a more realistic approach with memory effects to study these problems (see e.g. [2 13]).
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The method allows for discretization of complicated geometries with arbitrary order representations of the B and E fields.
Lycan's account of Mary's epistemic progress can be put, roughly, like this: Only after release Mary can form "introspective second order representations" of her own color experiences.
Combination of classification methodology and principal component analysis for effective reduced-order representation of 3D microstructures is demonstrated.
Proper orthogonal decomposition is applied to all three coordinates to obtain a low-order representation of the system.
Expected energy use for the field demonstration is provided by a compact reduced-order representation of the Alliance Center, generated from a detailed DOE-2.2 energy model.
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