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This condition is based on a set of matrices which provides a novel encoding of the relationship between the function and the probabilistic model used by the algorithm.
The singular value decomposition (SVD) of the trajectory matrix constructs a sequence of elementary matrices, which provides the best approximations of the initial matrix and, in a sense, of the initial series: X1, X1 + X2, and so on.
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The results indicated that the obtained sorbents could specifically recognize the phthalates from complex matrices, which provide a new train of thought for preparing the DMIPs sorbents.
We obtain the recurrence relations for the simplified index matrices, which provide a convenient algorithm for rapid generation of the multivariable Adomian polynomials.
The correspondence matrices, which provide a link between the parent and twin lattices, have been worked out for compound twinning modes and selected metals.
Stripping an organ leaves a natural scaffold of collagen and other compounds, called the extracellular matrix, which provides a framework for new cells and preserves the intricate internal architecture of the kidney as well as its basic shape.
This kind of composite is a suitable resorbable osteoconductive matrix, which provides long term stability required for ligament fixation device.
We thus use an optimal double shrinkage estimator of the covariance matrix, which provides always positive definite matrices, that are then inverted to compute the Mahalanobis distance.
The problem is further compounded by the ability of the pathogen to form biofilm matrix, which provides bacterial cells a protected environment withstanding various stresses including antibiotics.
In Section 3, special attention is paid to the norm of the earthing GIC column matrix, which provides a measure of GIC impacts on the system.
In natural tissues, the cells are arranged in a three-dimensional (3D) matrix which provides the appropriate functional, nutritional and spatial conditions.
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CEO of Professional Science Editing for Scientists @ prosciediting.com