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Based on the definition of volume averages, expressions for the macroscopic stress tensors and for the couple stress tensors are derived.
The author gives a suitable definition of volume and applies this definition for solving this generalized form of the isoperimetric problem.
If we consider pyramidal QDs with an hexagonal base, from the definition of volume of the pyramid and of aspect ratio, we expect a relation due to annealing process frac{AR'}{AR}=frac{r^{3}}{(r+ell)^{3}} (2).
Richards and Kim (2005) argued that each relationship is based on a different definition of volume changes at the source and that Equation 1 is preferred for characterizing underground explosions.
On the other hand, the definition of volume can refer to either solvent accessible volume or molecular volume.
The European Association of Nuclear Medicine (EANM) and the Society of Nuclear Medicine (SNM) have published guidelines [ 15, 16] regarding patient preparation, data acquisition, reconstruction parameters and definition of volume of interest (VOI) in or around the tumours.
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The management of spill-out is closely connected to the strategy used for image segmentation, i.e., the definition of volumes of interest (VOIs), and the problem needs to be assessed in relation to this strategy.
This then allows the accurate definition of volumes of interest (VOIs) on the brain imaging data.
Conclusions: our results show that evidence of a relationship between volume and outcome in peripheral vascular surgery may be attributable to factors such as lack of adjustment for case-mix, different definitions of volume and poor quality of studies, especially those of retrospective design.
The definition of treated volume is that volume enclosed within the prescribed dose, and the areas receiving excessive dose, especially >10% of prescribed dose, are known as radiation hot spot.
Two additional measurements of the metabolic volume using different definitions of volumes of interest with varying isocontours (3D isocontour at 50%and41%41 % of the maximum pixel value) were also calculated.
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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