Sentence examples for matrices it will from inspiring English sources

Since the algorithm is based on well studied algebraic manipulations of polynomial matrices, it will have good numerical performance.

The polynomials defined in (9) are not directly applicable in construction of operational matrices (it will be clear in the next section).

Since we tested those stabilization systems on iPP and EP matrices it will be beneficial to test their effectiveness on PE matrix and to study the validity of those systems for protecting different polyolefins against γ-sterilization.

Finally, even if formula (4) or related could give a suited approximate of the η value by using the building rules of BLOSUM matrices, it will be even more difficult to provide a similar formula for the PAM- η similarity matrices when dealing with DNA sequences.

By adding the recycled copper to the matrix, it will reduce the CTE value of the composites.

In other words, when high pressure force was imposed on the dental composites, owing to powerful forces between nylon 6 nanofibers and dental matrix, it will be extremely hard to form microcracks firstly, even if microcracks appeared, nylon 6 nanofibers will prevent the expansion of cracks.

When the normal epithelial cell loses cellular contact with the ligands in the extracellular matrix, it will undergo a specific type of programmed cell death (i.e., anoikis) triggered by multiple protein kinases/phosphatase including phosphoinositide-3 kinase (PI3K), extracellular signal-regulated kinase (ERK), and Jun N-terminal kinases (JNKs) [ 20].

This form is interesting because it shows an obvious link with some other optimal filtering matrices as it will be verified later.

In this paper, we propose to fit the INDSCAL model of three-way arrays while imposing nonnegativity constraints on both equal loading matrices A. It will be referred to as the semi-nonnegative INDSCAL model, as follows: Given and an integer P, find a semi-nonnegative INDSCAL model of C = [ [ A, A, D ] ], subject to the (N × P) matrix A having nonnegative components.

Because the characters are class functions, an immanantal polynomial is invariant under similarity by permutation matrices, but it will not typically be invariant under more general similarities.

Given the low specificity of MMPs for distinct extracellular matrix proteins, it will be a challenge to explore the exact nature of matrix reorganization by MMP3 leading to altered adipocyte differentiation in future studies.