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But Dr. Sirovich has found that just two dimensions are needed to describe almost all the decisions of the Rehnquist court.
RQ1: What dimensions are needed to augment the usefulness of Smite et al.'s taxonomy?
Notice that only 21 dimensions are needed to obtain the first order Sobol indices via the conditional variance.
The following research questions drove the work reported in this paper: RQ1: What dimensions are needed to augment the usefulness of Smite et al.'s taxonomy?
Both dimensions are needed to characterize oral health comprehensively.
While the PGC cross-disorder analyses are informative in many ways, they may not help with the biggest question: how many categories or dimensions are needed to classify psychopathology.
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Scientific research in several dimensions is needed to elaborate the bioeconomy concept to make its implementation manageable.
Second, as the IFM method used for parameter estimation of copula-based distribution ends up in a sub-optimal estimate, developing an optimal parameter estimation method for large vector dimensions is needed to have a fair evaluation of the copula-based distribution power in the statistical modeling of speech signals, e.g., compared to the optimal parameter estimation method used for MLD and MGD.
After Procrustes superimposition, the aligned coordinates present more dimensions than the actual shape space (aside from the degrees of freedom lost in superimposition, a maximum of 48 dimensions is needed to describe 49 species means).
However, when they studied a field dataset, a relatively large number of dimensions was needed to model the genetic correlations appropriately and the estimation process often led to local maxima, decreasing the utility of the approach.
In this paper, the mass flow rate characteristics of high-pressure pneumatic components (HPPC) are measured by a compounding approach; two components under test with the same geometry and dimension are needed to be connected in series.
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