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The tune of the melody is set based on both the 12-note scale matrix generated in tone determination process and the Markov probability matrix.
This is the idea that reality is a pernicious illusion, a repressive and authoritarian matrix generated in a dream factory we need to tear down in order to see things aright and have access to the truth.
In this context, we explore a parallel preconditioner based on a block factorization of the coefficient matrix generated in an Oseen nonlinear iteration for the primitive variable formulation of the system.
Operational taxonomic units (OTUs) were determined by aligning 500 600bp of each forward read in ClustalX, and grouping into 99% similar OTUs using a distance matrix generated in PAUP4.b10 [91].
The annotation matrix generated in our study can serve as an atlas of the rate comparison of CNCs in animals, which will help guide researchers to connect phenotypic features to certain gene duplications.
This information can be gleaned from a side-by-side comparison of the two correlation plots (Figures 2a and 2b) or, more easily, from the correlation difference matrix generated in Figure 3. Pixels colored red or yellow indicate that the correlation coefficient between two metabolites became less positive or more negative with insulin treatment compared to insulin deprivation.
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The integration matrices generated in this study are useful for different protocols of ES supply mapping.
All 4k + 1 pseudo-Hadamard matrices generated in this way have balanced off-diagonal entries of ±2 (apart from the trivial leading row and column).
The next step as shown in Fig. 2 is to apply LSA using the TF and IDF matrices generated in the text pre-processing step.
The homoplasy matrices generated in PAUP were visually inspected to locate parts of trees where there was phylogenetic conflict and to identify the haplotypes responsible for this conflict.
Visual inspection of the homoplasy matrices generated in PAUP for the ORF A and ORF B MP trees helped to identify putative recombinants (Fig. S2).
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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