Sentence examples for considerations yield from inspiring English sources

Taken together, these considerations yield the estimator defined by Eq. 7: (7).

Model calculations based on these considerations yield the potential dependent OH-adsorption, the N-shaped current/voltage curves and current oscillations that agree well with the experimental findings.

Some easy combinatorial considerations yield that for every x ∈ [ 1, n ] and m = 1, …, k μ k − 1 ( S m, x ) = 1 n k − 1 ( [ x ] + m − 2 m − 1 ) ( n − [ x ] + k − m k − m ), where [ x ] is the largest natural number that does not exceed x.

For example, the rank bound derived from symmetry considerations allows us to determine the sloppiness of the quantum simulation model ({H_{1}^{mathrm{per}}, S_{z}}) at any scale (i.e., for any number of spins); and further, symmetry considerations yield the form of the CPD that the model is sensitive to.

\end{aligned} $$\end{document} (b) Similar considerations yield the claimed relation for the three-stage Radau IIA method.

A process for hemicelluloses fractionation and purification from wheat straw and bran has been investigated and technical considerations (yields, purity) have been coupled to environmental characterizations (water consumption, carbon dioxide emissions) in order to develop an environment-friendly process.

These considerations yielded the following system of ODEs: d u d t = α 3 y − α 2 u, (3) d y d t = β 1 x β 2 + x + β 3 u − β 4 y 2 y 2 + θ 2 − β 5 y.

Moreover, issues regarding the number of particles under consideration yield yet another reason why we need to extend QM.

UE has been shown to be the most efficient extraction method, taking into consideration yield, short extraction time (30 min) and high selectivity.

The first criterion effectively requires that the activity under consideration yield emissions reductions that would not otherwise occur.

This is often due to macrophysical considerations which yield forces as arising from a macroscopic statistical average of microstates.