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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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This result is based on a new free (Carleson type) interpolation theorem for polynomials of a given degree.
Percentage (T) of feasible ring systems in PubChem Compound (Dec 2012) for a given degree (D).
Therefore, for a given degree distribution pair, we have the following equalities: g F ≤ g M ≤ g L, (32).
at r=r d, i.e., the misfit normalized by the observed field strength for a given degree l.
Iso-conversional methodology in non-isothermal experiments assumes that for a given degree of conversion α, the reaction mechanism does not depend on the heating rate.
SB-1024 is the best because the size of the CW is large enough for a given degree of contentions, and the fewest collisions occur.
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.
In our formulation in terms of degrees, for uncorrelated and undirected graph, PageRank for a given degree d, PR(d), can be approximated from the basic definition as, text{PR}(d)=f_{text{PR}}(d)= c f_{text{RW}}(d)+ 1-c);f_{d}(d).
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.
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".
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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