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Linear programming was also used to avoid exhaustive identification of elementary flux modes as well as problems in computing null-space matrices for large metabolic networks [ 9].
The low correlation observed among quartet distance matrices for small trees suggest largely independent processes of nontree-like evolution; in contrast, the strong correlation among matrices for large trees (over 50 species) emphasizes the coherence of the tree-like signal (supplementary fig. S11, Supplementary Material online).
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It now becomes apparent that once the process matrices of all contributing gates in a circuit have been computed conclusively, we limit the cost of finding and thus of process matrices for larger quantum circuits.
so Y i converges to the zero matrix for large i.
The PEDOT/PyBA composite serves as a stable host matrix for large negatively charged polymolybdate inorganic species.
A distance-matrix for large alignments was created using the PHYLIP-DNADIST program [ 40], based on Jukes-Cantor models of nucleotide evolution.
These results, however, are applicable only for small and medium rotator cuff tears, with an undetermined possibility of benefit of platelet-rich fibrin matrix for large and massive rotator cuff tears.
The variance of response to selection is a risk to breeding programs [ 3], which is generally not explicitly controlled using the approach outlined by Meuwissen [ 24] due to the inability to generate a prediction error (co variance matrix for large data sets.
As we observed, the high homologous proteins (id > 45%) can be successfully aligned, using a matrices designed for large evolutionary distances.
Cellulose is an ideal matrix for large-scale affinity purification procedures.
Scheme of decomposing control matrices for the large network is also discussed for successful application of the method.
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