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Third order shear deformation beam theory is implemented to derive the governing equations.
Hamilton's principle is implemented to derive the PDE of such fluid-structure interaction systems.
The classical variational approach is implemented to derive position, velocity, and acceleration propagations.
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The proposed approach was implemented to derive bubble size and air ventilation rate from the synthetic images and the experiments, respectively.
Following previous experiences on the automatic achievement of strut-and-tie models in reinforced concrete structures, the minimization of the strain energy can be implemented to derive optimal layouts of reinforcement for any structural element.
Using the genome comparison software Genlight, two separate in silico workflows were implemented to derive a set of parasite proteins for which gene disruption of the orthologs in both the model organisms yielded deleterious phenotypes (e.g., lethal, impairment of motility), i.e., are essential genes/proteins.
Through this, sequence similarity as well as thermodynamic considerations was implemented to derive the interaction patterns.
While these explanations are speculative, further investigations will have to be implemented to derive the underlying mechanisms behind reduced morphological variation in reservoir habitats.
Multiple testing was corrected using an FDR cut-off of 0.05 and then a fold-change filter (≥ 1.5-fold change) was implemented to derive final gene lists.
To understand which voxels contribute most reliably to the latent brain behavior variable pairs, bootstrapping (10 000 resamples) was implemented to derive estimates of the standard error for the "salience" at each voxel.
A geometric distance-based machine learning scoring system was then implemented to derive a risk score from 0 to 100.
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