Sentence examples for matrix or when from inspiring English sources

The approach is applicable either when the Floquet eigensolutions have been obtained numerically through the transition matrix, or when they are found analytically through perturbation methods.

The drug release mechanism dominating these systems is described as a pseudo-Fickian diffusion, but it changes to non-Fickian release when 33 wt.% of CPL was entrapped into the CS matrix or when IDM was loaded into biocomposites.

In particular, I N denotes the N×N identity matrix, 1 N denotes a N×1 all-one vector, and 0 m×n denotes an all-zero matrix or, when n=1, an all-zero vector.

Treatment by-products are generated when water treatment (drinking or wastewater) is generating new products from the reaction of the reagents with the components of the matrix or when reactions of the target contaminants are incomplete and some by-products are generated that may have some residual toxicity [20, 55].

Under rare circumstances, such as rapid tissue desiccation after death, or when DNA is adsorbed in a mineral matrix, or when a corpse is preserved at low temperatures, nucleic acids may escape enzymatic and microbial degradation, and several copies can still be found after a prolonged period of time [10].

The TOM is resulting in a more robust network in the case of many zeroes among the elements in the adjacency matrix or when elements are prone to noise [ 41].

In recent works, deconvolution, based on the moments method, has been analyzed when n → ∞ for some particular matrices A and B. For instance, when A is a random Vandermonde matrix and B is a deterministic diagonal matrix [43], or when A and B are two independent random Vandermonde matrices [44].

This effect is virtually eliminated when PS is the matrix material or when symmetrical block copolymers (50PS/50EB) are used.

We also show the spheres can revert to monolayer growth when provided with extracellular matrix support or when plated in medium containing fetal calf serum.

Hence, noting that R t i is diagonal, the MSE (15) is minimized when ϒ i = R t i − 1 + θ i Ψ i H Ψ i is a diagonal matrix, or equivalently, when Ψ i H Ψ i is a diagonal matrix.

Previous data indicated that, in some cases, chondrocytes can synthesize macromolecules to establish a functional extracellular matrix in response to a matrix-damaging insult or when placed in a three-dimensional environment with inadequate matrix.