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The mean Procrustes coordinate configurations for every species were combined in a single data matrix, and a Procrustes transformation was used once again to remove size and orientation effects.
T-tests with sequential Bonferroni correction on Procrustes distances, calculation of Euclidean distances between shape change vectors and individual Procrustes coordinate configurations, and between-group PCA on Procrustes coordinates (using the bga function [ 45]) were performed in R [ 46].
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Hence, it is difficult to quantify which vertical coordinate configuration works best for the coastal region.
The general constitutive equations for a linear viscoelastic/elastic system in Cartesian coordinate configuration can be written as P d s ij = Q d e ij (A.2) P m σ kk = Q m ϵ kk (A.3).
The mean coordinate configuration of each species was then calculated from the Procrustes transformed landmark coordinates using Excel (Microsoft, Corp).
The results of this analysis were used to determine how many types of independent shape variation (CV axes) were present in the data, to depict patterns of damselfish skull shape variation, and to assess the reliability with which CV axes could be used to assign a species to the appropriate trophic group based on its mean Procrustes coordinate configuration.
The analysis of NA using hydropathic roughness with W ~ 20 as a configuration coordinate revealed opposing punctuations due to migration (increasing roughness) and vaccination programs (increasing smoothness) [ 1].
As the internal dissipation inequalities are described in different configurations or coordinate systems, the related constitutive laws are also formulated in the corresponding configurations or coordinate systems.
The duct configurations and coordinate system are shown in Figure 1. Figure 1 Geometry of a triangular duct.
The metastable and bistable behaviour of the defect can be explained using the configurational coordinate (CC) model40, which assumes that the energy of the defect or impurity depends on its atomic configuration.
These kingpins have a clear understanding of the relevant technologies and markets (user needs and functional requirements) and can define the system configuration and coordinate the work of various collaborators.
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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