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We show that the use of Gaussian basis functions within the finite element method provides a framework for a systematic and efficient design procedure for operators that are scalable to near-circular neighbourhoods through the use of an explicit scale parameter.
For the appropriateness criteria, we created our own explicit scale for measuring the severity of COPD exacerbations because we did not find any in the literature.
We could not find significant differences in Link's scale scores between the new and old terms, nor was there significant correlation between explicit scale and implicit scale for both the new and old terms.
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Such a framework allows for explicit, scale-invariant visualization and analysis of this type of data.
An explicit scale-transition rule is adopted to extend the proposed single crystal model to the polycrystalline version.
In wavelet coherence, an explicit scale-dependent 2D smoothing operator has previously been used, e.g., a Gaussian envelope of the Morlet wavelet function as the time-smoothing operator and a box-car filter with a specific width as the scale (or frequency) smoothing operator [7, 17, 18].
Our approach uses movement data to identify spatially explicit scales of wildlife response to linear features.
Their value lies in the prediction of explicit scaling properties of the orientational distribution and of normal and shear stresses, with respect to molecular and flow parameters.
The team hypothesised that rituals with higher levels of body synchrony and higher levels of reported sacred values would be associated with the greatest amounts of solidarity, as measured by a standard economic game and a battery of explicit scales.
Instead, an explicit subgrid scale turbulence model can be sensibly applied.
Finally, a new specific error index, that can also be applied to maps lacking an explicit graphical scale, is proposed to evaluate the map truthfulness degree.
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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