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A substantial simplification results for the modelling of the system and the analysis.
The parabolic approximation for the concentration profile inside a particle yields a substantial simplification in computations.
All this allows a substantial simplification of the equations describing the flow of the thin paint film.
The Berger-type approach suggested in this paper leads to a substantial simplification in the analytical and computational efforts without producing any appreciable change in the final results.
This approximation yields a substantial simplification of analysis and computations and does not require any iterative and trial-and-error calculations.
Therefore, an integrated design of wind turbine and HVDC link control can lead to a substantial simplification of the off-shore rectifier.
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Their evaluations confirm that this simplification attains comparable accuracy of source angle and power estimation with a substantial reduction in computational load.
This paper presents a substantial, conceptual simplification over the original model version, accompanied by a decrease in its computational cost.
This approximation makes substantial simplification possible, for instance in the case of a batch reactor, it allows a naturally sixth order system to be approximated by a two dimensional manifold for the dynamics of two modified Thiele moduli.
The second approach is based on direct surface-averaging of plastic strains calculated at a number of collocation points along the quadrilateral subvolumes' surfaces, and offers substantial simplification in the parametric finite-volume theory's elastic plastic framework.
Mice had breathing difficulties after the first week exhibiting enlarged air spaces with substantial simplification of lung alveolar structure, larger lung capacities leading to abnormally elevated carbon dioxide (hypercapnia) and deficiency of oxygen (hypoxaemia) in the blood.
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