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The resultant can be then thought of as a hierarchical mixture of nonparametric mixtures for flexible clustering of highly contaminated signals.
In this study, it is explained that the stress resultant can be little affected by hysteresis patterns and have the ability to be a good parameter in order to evaluate the seismic performance appropriately.
Having established the piecewise functions, the FS distribution of the rebar resultant can be derived as previously described.
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Consequently, the in-plane force-resultants can be obtained from the in-plane displacements and further applying the boundary conditions.
In a special slurry, these abrasives can chemo-mechanically react with the work material and the environment (air or water) to generate a softer material (SiO2), and the resultants can be removed easily at the 0.1 nm level.
However, it is always possible to choose the "best" resultants in each case: we take the recombination with the smallest Δ+ D C J - λ, whose resultants can be better reused in further recombinations.
Again, although each type of recombination can lead to different resultants, it is always possible to choose the "best" resultants in each case: we take the recombination with the smallest Δ D C J - σ, whose resultants can be better reused.
Several research results can also be combined and the resultant file can be analyzed.
As for single events, CAOS establishes that any pair of resultant sets can be, and can only be, causally or concurrently related.
When countries, populations, families or individuals suffer trauma, the hurt and resultant rage can seem uniquely theirs, and revenge and retribution can seem like the only option.
The resultant "picture" can be compared to triangles from other areas, and can be used as a marker for evaluation over time.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com