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Furthermore, the proposed hierarchical monitoring scheme provides informative multi-level reference results for further diagnosis and isolation.
We provide a theoretical analysis of the problem's computational complexity, and develop an integer programming model for providing reference results for performance benchmarking.
Reference results for added masses are derived by solving the boundary value problem for small motions of inviscid fluid using the finite element method.
Through numerical comparison with the available reference results for a purely elastic layered rectangular bar, the validity of the double polynomial approach is illustrated.
As a reference, results for the Wiener filter (hw) are shown as well.
Individual cluster assignments are shown in Fig. 2 (for reference, results for K = 2 and 3 are shown in Additional file 2: Figure S1).
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The calculation and analyses of the case tested the applicability of our definition and methodological rules, and provided a reference result for related research.
The known opacity values for control and test lines/dots were used to establish the reference result for every photograph.
This will also require some method for establishing a reference result for at least a few high-dimensional QTL mapping problems where the global optimum is not known a priori.
Fully referenced results for each hallmark area can be found in each of the individual reviews within this special issue.
The approach is validated through comparison with reference results: analytical solution for helical single wire structures and 3D detailed finite element solution for seven-wire strands.
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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