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The stiffness and mass matrices obtained for the dynamic model are frequency-independent, symmetric and positive definite and their computation involves boundary integrals of regular kernels only.
A numerical verification of theScalediprocal relatransmission given here for propagation in axially symatrices(circular and annular) ducts with multi-mobtainedpagation and at low forquencies when a one-directional model is appropriate.
PCO analysis of the ARISA similarity matrices obtained for the "inoculation phase", i.e. up to day 14, showed that significant differences existed for both the bacteria and the methanogenic archaea between the community structures of the fermenter and the post digester.
Table 7 Confusion matrices obtained for different system configurations Noise Person Vehicle State S 1 Noise 38 5 5 Person 16 81 1 Vehicle 5 1 57 State S 4 Noise 40 5 3 Person 22 73 4 Vehicle 6 2 54 Adaptive approach Noise 43 2 3 Person 8 89 1 Vehicle 3 1 59.
Thus, as we did before, a modal library was constructed by storing all Modal matrices obtained for each element inside the Jacobian library, see methods and Figure 1.
Given the low variance explained by the first two PCoA axes, we also carried out Mantel tests between vegetation-dissimilarity matrix and canonical distance matrices obtained for each environmental variable.
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The compromise matrix obtained for all the instants in the evaluation provided a summary of the sensory properties of the dressing during that 6 50 s period.
The Green's matrix, obtained for the problem of heat transfer alone, has been used to set up integral equations to represent this problem of nonlinear coupled heat and mass exchange.
Reynolds distance matrixes obtained for the molecular and the allelic approaches were compared using a script written with the R statistical software (http://www.r-project.org/).org/
The distance matrix obtained for all the genomes is used to construct the phylogenetic tree using the Neighbor Joining [31] method of PHYLIP package [32].
The discretized matrix obtained for the PLM and pathway signature j (PLM j) is denoted as δPLM j.
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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