Sentence examples for with respect to elements from inspiring English sources

Sets of this form are a subbase of some topology on C X, or similarity on C ( X ), called the topology of convergence with respect to elements of S.

The scaling ambiguous of the estimated matrices can be removed by normalizing the elements ofA θ andF ϕ with respect to elements of the first row during parameter estimation.

Since the elements of the first row of both A θ and F ϕ are equal to one, the scaling ambiguity can be easily resolved by normalizing the elements of A θ and F ϕ with respect to elements of the first row.

The positions of splice sites were analyzed with respect to elements from the two previously published alignments [ 23, 26].

With respect to elements of the study protocol, it was possible to recruit patients into a clinical trial with an RCT design.

Similarly, dissimilarities in elemental metabolism cycles such as carbon, nitrogen, sulfur and methane among alpine meadows were also higher than those among farmlands, which further confirmed that the bacterial communities in alpine meadows were more diverse with respect to elements utilization and energy conversion without human disturbance.

The native spectral element advection operator is oscillatory, but due to its mimetic properties it is locally conservative and has a monotone property with respect to element averages.

We explain their general behaviour with respect to element quality, and report the corresponding Courant numbers with both types of flux and polynomial order p ranging from 1 to 10, for use as guidelines in practical simulations.

The RGA and the minimized condition number are accurate measures with respect to element uncertainty, provided the relative errors of the transfer matrix elements are independent (uncorrelated) and have similar magnitude bounds.

The individual reactions were balanced with respect to element and charge for pH 6, 7, and 8.

It is evident from our analyses that the rate at which different elements amplify with respect to other elements within a species or with respect to the same element across species varies considerably.