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(3)The formula in the last display allows to shift the study of solutions to the analysis of a related integral operator.
Numerical examples are provided to illustrate the resulting solutions to the analysis of stress distribution pattern, strength-based failure and fracture behavior.
MODFLOW-SURFACT is a state of the art simulator that utilises vadose zone flow and transport equations to provide practical solutions to the analysis of flow and contaminant transport at various levels of complexity and sophistication as needed for site evaluation and closure.
Small research groups with a focus on biomedical research sensibly avoid the overhead entailed in developing full solutions to the analysis problem or becoming experts in all details of these long workflows, instead concentrating on the development of a single software tool for a single step in the process.
Fortunately, an alternative computing architecture, cloud computing, has recently emerged, which provides fast and cost-effective solutions to the analysis of large-scale sequence data.
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This paper provides a semidefinite optimization solution to the analysis and control of a rigid rotating spacecraft.
Also, Ebrahimi et al. suggested an analytical solution to the analysis of smart moderately thick shear deformable annular (Ebrahimi et al. 2009) and circular (Ebrahimi et al. 2008) FG plate based on Mindlin's plate theory.
The optimal solution to the analysis of this F2-type dataset could be a combined half-sib/line-cross model, as suggested by Kim et al. [ 45].
Even if sequence analysis alone cannot provide a complete solution to the analysis of mutations in non-coding regions, combining such approaches with targeted gene expression experiments can shed further light on such events.
Application of the developed analytical solutions, to the probabilistic analysis of a published case of rock spalling in a deposition tunnel complex, follows.
Based on the Hamilton's principle and Navier's technique, analytical solutions to the natural frequency analysis of simply-supported laminated plates have been presented.
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