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Recommendations have been made as to appropriate nickel interlayer thicknesses for a given degree of wear resistance as reflected in the coating failure mechanism, by way of the so-called "wear map".
Wang and Parkan [Information Sciences 175 (2005 20 299] proposed a minimax disparity approach for obtaining OWA operator weights, which is based on the solution of a linear program (LP) model for a given degree of orness.
For a given degree of in-plane lattice mismatch between a two-dimensional (2D) epitaxial layer and a substrate (ϵ∗IP), there is a critical thickness above which interfacial defects form to relax the elastic strain energy.
Although an optimal building orientation that minimizes demands for all the EDPs considered for a given model cannot be determined explicitly, for a given degree of inelasticity, the average ratio of peak deformation responses based on all angles of incidence to the peak deformation response when the ground motions are applied at principal building orientations shows stable trends.
Based on a representative EWS model, we find that, for a given degree of risk aversion, there is a unique combination of the forecast horizon and of the probability threshold that maximizes the policy maker's preferences, yielding the best possible model from a policy perspective.
The analysis of cancellation is presented in parametric terms, both in time and in frequency, leading to a three-dimensional description of cancellation that is suitable for determining the geometrical arrangement for a given degree of cancellation, and consequently can be used for the design of ANC systems.
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This result is based on a new free (Carleson type) interpolation theorem for polynomials of a given degree.
The comparison was facilitated by constructing a distribution function for vertices with a given degree.
The monoisotopic m/ z value for a fructan with a given degree of polymerisation can be calculated (ESM Table S 1), and an extracted ion chromatogram can then be generated with a mass window of ±0.5 Da.
Assuming that the post-treatment variability is similar, the CoV can be used to assess the statistical power of studies, or anticipate the patient numbers required for a study to demonstrate a given degree of treatment effect.
Given a discretization and any element-wise, localizable error estimate, our adaptive method iterates toward a mesh that minimizes error for a given degrees of freedom.
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for a given surface
for a given amount
for a given mapping
for a given value
for a given model
for a given tree
for a given adjacency
for a given matrix
for a given problem
for a given project
for a given committee
for a given well
for a given diagnosis
for a given group
for a given k
for a given configuration
for a given smoothness
for a given telescope
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com