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In addition, symmetric boundary conditions are derived for more efficient calculations.
The paths taken for simplifying the formulation to obtain more efficient calculations include possibilities such as multi-grid methods, edge formulation, and parallel computing.
The span of the irreps can therefore be calculated without without constructing the matrix representations of the symmetry operations, allowing for more efficient calculations, as well as the providing the benefit of verifying the results.
As discussed by Stranden and Garrick [ 9], when the number of genotyped individuals exceeds the number of marker covariates, use of MEM, which do not require computing G or its inverse, will lead to more efficient calculations.
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In addition, a more efficient calculation step can be employed.
More efficient calculation means have to be used and a more accurate knowledge of the geometrical parameters are required.
The main advantage of such decomposition lies in that part of the resampling procedure can be implemented in parallel, which facilitates more efficient calculation.
The trend towards incorporating critical speed calculations into the design optimization process and model-based fault diagnosis systems requires the more efficient calculation of critical speeds.
Based on the research results we propose a methodology that could be suitable for the more efficient calculation of costs for examined industry.
The separation of sampling from the load and resistance distributions is also proposed to allow more efficient calculation than that achieved by the classical Monte Carlo method.
Conversely, when a large number of individuals adopts the suggested routes the potential energy landscape is less subjected to noisy fluctuations and a more efficient calculation of trajectories can be performed.
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