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This number is a critical threshold for an appropriate refinement and structural meaningful optimization, to achieve the best possible fit between observed experimental structure factors (e.g. electron densities) and the chosen target function.
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Furthermore, through this example we also show that the topological derivative together with an appropriate mesh refinement strategy are able to capture high quality shapes even using a very simple topology algorithm.
However, it is known that an appropriate uniform refinement of an arbitrary conforming simplicial mesh T for d ≥ 2 allows for such a labeling [63].
I would expect the review system to continue with appropriate refinements but the cheerful Clouseau of the elite panel, Harper, may not.
The Boston Landmarks Commission imposed a 90-day delay in the demolition of the Rudolph building on March 13, but Mr. Belkin said that the Boston firm CBT Architects intended to "implement Piano's design, making appropriate refinements as needed during the design review process".
Initial unpublished cadaver trials and preliminary animal experiments using various implant configurations and appropriate refinements in the custom-made jig identified the optimal implant dimensions with which to achieve stable compression plate fixation of a rat transverse diaphyseal tibial osteotomy.
Finally, we show how one might determine an appropriate level of refinement or aggregation in the age-structured model given age-stratified observations.
Problem Show that the natural correspondence between combinatorially equivalent CP meshes approximates a conformal mapping of surfaces (and make this statement precise by using an appropriate notion of refinement).
For more detailed annotation efforts, CodingQuarry offers an appropriate starting point for further refinement of annotations with additional supporting evidence.
18, 19 In the current study, comprising near comprehensive nationwide recruitment of patients with all types of prion disease 20 we had a unique opportunity to document for the first time the cognitive profile of a large cohort of prion disease patients including the refinement of an appropriate battery of tests.
Due to the fact that expiratory acquisition allows indirect evaluation of bronchiolar involvement [ 7], computed tomography (CT) has been increasingly put forward as an appropriate non-invasive tool for refinement in the classification and treatment monitoring of COPD and asthma [ 8- 14].
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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