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It is clear from the solution representation (1.3) that the matrices and determine all properties of solutions.
For the moment we will exclude the outer DFT matrices and determine the expectation value of the inner matrix product. is a circular Toeplitz matrix based on the channel impulse response, and was shown in Section 3.2 to be a matrix with zero entries except for the submatrix found in its upper right corner.
Hyaluronan synthase genes (HAS1, HAS2, and HAS3) encode key enzymes in hyaluronan synthesis, which can regulate the ability to form hyaluronan matrices and determine hyaluronan molecular size (50).
The authors study perturbations of translationally invariant matrices and determine conditions under which eigenvectors are localized in the large-N limit.
IGFs are bound to IGF-binding proteins (IGFBPs), which modulate the actions of IGFs, facilitate their storage in extracellular matrices and determine the net IGF bioactivity (Baxter, 2000; Mohan and Baylink, 2002).
As noted in [ 6], the best one can do is to test the phase transition properties of real genomic matrices and determine whether they are in the same category ("universality class") as random matrices.
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A scanning electron microscope (SEM) was employed to evaluate the distribution quality of MWCNTs within the matrix and determine their crack-bridging mechanism.
The morphology and fiber distribution of the composite samples were analyzed by SEM to evaluate the CNT dispersion in the polymeric matrix and determine how the composites influence the polymer crystallization microstructure.
The values obtained from freshly quarried samples reported in Table 2 are around 1% total porosity, which indicate a compact stone matrix and determine a low water absorption capability.
A Perl script (Phylip_neighbor_distance.pl) that called the PHYLIP program's dnadist and neighbor modules was used to generate a distance matrix and determine a neighbor-joining (NJ) tree for both the RA and MLST datasets.
We compute the eigenvalues for the correlation matrix and determine the number of the eigenvalues greater than 1.
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