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In this section, we give several inequalities involving covariance matrices, an alternative based on the spectral norm of the relative gain of the covariance adjusted estimator and its upper bound by using the inequalities in Section 2.
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The use of matrices derived by SIS gave similar promising results for the treatment of esophageal semicircumferential defects in rats [ 71], used as an animal model also to test the gastric acellular matrix, an alternative naturally derived material [ 65].
The biomedical application of polymers based on derivatives of amino acids such as poly(succinimide) for matrices is an alternative due to their low toxicity, biocompatibility and additionally, the presence of two different functional groups able to be functionalized with different molecules.
One can use these probability matrices as an alternative to the ones obtained using the mechanistic model.
Binary matrices are an alternative for the analysis of polysomic markers and a few programs for tetraploids have been developed (AUTOTET, Thrall and Young 2000; TETRA, Liao et al. 2008; TETRASAT, Markwith et al. 2006; ATETRA, van Puyvelde et al. 2010) and for polyploids with different ploidy levels (PopDist, Guldbrandsten et al. 2000).
Using correlation matrices as an alternative does not always account for the potentially large effect that outliers can have on the orientation of the principal components, which aims to remove interdependence among components but can be biased by unusual observations [ 33, 37].
As the subspace iteration procedure, although quite accurate, requires a factorization of the stiffness matrix, as an alternative, a procedure based on component mode synthesis is suggested.
Electronic structure calculations which are based on Wannier, like localized orbitals or the related density matrix, are an alternative to conventional calculations based on extended orbitals.
Implementation of this human placenta derived extracellular matrix provides an alternative to Matrigel and, due to its human derivation, its development may have significant clinical applications leading to advances in therapeutic angiogenesis techniques and tissue engineering.
In fact, the incidence matrix is an alternative mathematical representation of the graph which dispenses with the need for any kind of drawing.
In this context, correlations between labile Pb concentrations in plasma with either saliva or urine suggest that these matrices may offer an alternative to current invasive biomonitoring procedures.
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