Sentence examples for matrix of lower from inspiring English sources

Dedifferentiated cells produce a matrix of lower quality.

Already during the spreading process, aggregates formed, leading to a coexistence of randomly organized domains, consisting of preferentially oriented fibers, embedded in a less ordered matrix of lower density.

The transition at V = 0.1 mm/s from a fully eutectic matrix at C0 = 3.5 wt% Fe to one containing αAl dendrites at C0 ≥ 4.7 wt% Fe is attributed to growth temperatures of αAl dendrites that are higher than those of eutectic in a matrix of lower iron-content, which results from these conditions.

(4) Lower rank coals are highly reactive than higher rank coals due to high concentration of active sites in a coal matrix of lower rank coal.

The non-negative matrix factorization (NMF) technique divides a matrix into two non-negative matrices: a basis matrix of lower rank and a coefficient matrix (Lee and Seung, 1999; Paatero and Tapper, 1994).

First, it is assumed that the majority of variability in the data can be explained by the first few PCs and thus the data matrix can be sufficiently approximated by a matrix of lower rank.

The computation of the remaining states of the system requires matrices of lower dimension and thus the method is less susceptible to ill-conditioning.

Using the results of Lemma 1, we can replace verification of positive definiteness of matrix (S_{4}) by verification of positive definiteness of two matrices of lower dimensionality.

The joint factorisation of V s (cf. the section 'Semantic representation') and V a (cf. the section 'Acoustic representation') is expressed as follows: V s V a ≈ W s W a H (2). where W=[ Ws W a ] T and H are two matrices of lower rank.

Therefore, the multivariate spaces of X and Y are transformed to new matrices of lower dimensionality that are correlated to each other.

Second, in light of the fact that the relational matrix is a representable matrix of the matroid induced by an equivalence relation, matrix representations of lower and upper approximations are obtained with the representable matrix of the matroid.