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To reduce dimensionality, the aligned coordinates were transformed to shape principal components [ 78].
Then the shape principal component (eigenvector) values are represented as demonstrated by the following example: "NaLpc01" = nucleus accumbens (Na) Left (L) principal component (pc) 01.
The major axis of shape variation among phyllostomid species (first shape principal component) ordinates species with contrasting degrees of rostral elongation.
Using the full space of shape principal components (including all components with non zero eigenvalues) for the mandible shape, disparity was calculated from average pairwise Euclidean distances between species [ 91].
Sexual dimorphism on size was assessed using a standard sex by locality ANOVA on the loge-transformed centroid size with locality as a block factor, whereas sexual dimorphism in shape was assessed by testing for differences in the scores on the shape principal components obtained using a sex by locality MANOVA.
We used the 30 shape coordinates directly instead of shape principal components for QTL mapping, because although the principal components are orthogonal, they do not correspond to independent dimensions of genetic variation (Albert et al. 2008; Rogers et al. 2012; Berner 2012).
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Interference effects are presented in the form of non-dimensional interference factors (IF) that represent the aerodynamic forces on an octagonal plan shaped principal building with interference from adjacent three square plan shaped buildings.
This diversity enables the interneuron population to flexibly sculpt the oscillatory profile of the hippocampal network while simultaneously shaping principal cell activity (Freund and Buzsáki, 1996; Sik et al., 1995; Sik et al., 1997).
As a result of shape optimization, principal coupling of a six-axis F/T sensor was reduced from 35%to2.5.5% with good isotropy.
For foam structures with a particular shape, the principal electromechanical properties in the longitudinal direction (i.e. along the poling direction), such as C22, κ22 and e22, are lower for the piezoelectric foam structures with flat porosity with lower aspect ratios as compared to other foam structures with elongated porosity with higher aspect ratios.
Eigenvalues of the radius of gyration matrix quantify chain shapes along principal directions.
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