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The ill-conditioning of a linear inverse problem (Ax=z) is directly seen in the singular value decomposition (SVD) (A=USigma V^{T}) of its associated matrix, namely as the ratio of (sigma_{mathrm{max}}/sigma_{mathrm{min}}).
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As a result, G is a full-rank diagonal matrix, namely, rank(G) = M.
with being a slice of unitary matrix, namely,, and an invertible upper triangular matrix.
We thus propose two new approaches for solving the EEM matrix, namely EEM Cutoff and EEM Cover.
Four natural and synthetic 3D matrices were evaluated in vitro as dermal matrices, namely (1) equine collagen foam, TissuFleece®, (2) acellular dermal replacement, Alloderm®, (3) knitted poly(lactic-co-glycolic acid) (10 90)–poly(ε-caprolactone) (PLGA PCL) mesh, (4) chitosan scaffold.
Applying the influence coefficient method, two matrices, namely the unbalance calculation matrix and the milling vector calculation matrix, are constructed.
As shown in Figure3, we will perform the proposed algorithm on three polarimetric matrixes, namely scattering matrix S, covariance matrix C and coherency matrix T, to generate the respective sparse codes.
Hydrogels have been widely investigated as provisional matrices for tissue engineering and regenerative medicine, namely, as analogs of the natural extracellular matrix (ECM).
To see total unimodularity of the constraint matrix C, note that C is the incidence matrix of the bipartite graph B = (L ∪ R, E), where L = { pp'| p, p' ⊆ P} and R = { qq' | q, q' ⊆ Q}, and E introduces one edge for each constraint, namely As being the incidence matrix of a bipartite graph, C is in particular totally unimodular [ 24].
Chondrocytes synthesise the various matrix components as well as enzymes which lead to their catabolism (aggrecanases and matrix metalloproteinases, or MMPs) and inhibitors of these enzymes, namely, tissue inhibitors of metalloproteinases (TIMPs).
WPCs were prepared with five types of plastic as the matrix phase, namely high density polyethylene (HDPE), low density polyethylene (LDPE), polypropylene (PP), polyvinyl chloride (PVC), and polystyrene (PS).
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