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These inconsistent relationships, apparent upon graphical examination, seemed to influence the step-up approach, and they may explain why this approach resolved that the matrices were different.
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It should be pointed out that, for the same sparse signal, the measurements obtained from different measurement matrices are different.
One can notice that (10) is reminiscent of the familiar OLS or BLUE, although the matrices are different.
The behaviour of Vandermonde matrices is different when the density of ω has singularities and depends on the density growth rates near the singularities points.
There are two cases to be distinguished regarding the covariance matrices: if the covariance matrices are different for each class, then we have a QDA classifier, while if they are identical for the different groups, it becomes a LDA classifier.
In case of a difference between both graphs the conclusion is allowed that the corresponding covariance matrices are different and that also some time averages of cross-covariance functions between components of the cell dynamics are different.
Hence, this research will have focus on the antibacterial activity of nanocomposites in which the cellulose matrices are different and at the same time matching Cu nanofillers with distinct morphologies (spherical NPs and NWs).
However, it is difficult to calculate the similarity matrix containing inter-relationship information between miRNA and target genes because the length of vector from two matrices is different, for example 534 miRNAs and 12,043 genes in miRNA and gene expression, respectively).
The range of Sr/CI ratios within an individual matrix is different among matrices.
The failure modes of the matrix are different from those of the fibre yarn.
with the S−1≈Δ(0)−s Δ(1)+O s2) matrix being different from the N C ×N C identity matrix Δ 0).
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