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The methodology for the analysis of the first evaluated matrix has already been reported.
More precisely, the maximum likelihood estimator of a K-distributed clutter covariance matrix has already been derived.
Moreover, some terms are defined in several places such as in Equation 32 where the covariance matrix has already been computed in Equation 24.
The usefulness of ANT/178 ratio as a recipient matrix has already been called into question before for soil [13, 27].
The stability of the fixed point ( v 1, h 1 ) depends on the eigenvalues of F v evaluated at this point, and this matrix has already been calculated as the top left N × N block in the Jacobian J.
For infinite distances, using the reciprocal distance matrix has already been suggested as an elegant solution (see http://link.springer.com/article/10.1007/BF01164642 page-1).springer.com/article/10.1007/BF01164642 page-1
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(The DVD for the original "Matrix" had already sold an extraordinary 30 million copies).
This study suggested that degeneration of the cartilage matrix had already occurred in patients with degenerative meniscal tears although morphological changes of the articular cartilage had not been detected.
This powerful combination of standards and tandem mass spectrometry for assertive compound identification in complex matrices has already been extensively discussed in recent literature (de Oliveira et al. 2013b).
This method of constructing genomic matrices as a weighted average of several single-marker genomic matrices has already been proposed and used by Zhang et al. [ 12].
Several anion-exchange chromatographic matrices have already been investigated with different binding capacities for retroviral particles [ 37].
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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