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These examples from atomic physics can be multiplied at all levels so that a connected hierarchy exists, ranging from fundamental particles and fields, through atoms and molecules, to gases, liquids, and solids that were studied in detail and reduced to quantitative order well before the rise of atomic theory.
It concerns the modeling of qualitative and quantitative order, implying to have recourse to interdisciplinary studies to refine the knowledge of the mental troubles.
In the above result, we only proved convergence of the curves (x^tau ) to the limit curve x, solution of (x'=-nabla F x)) (or (-x'in partial F x))), but we gave no quantitative order of convergence, and we will not study such an issue in the rest of the survey neither.
Thirdly, we used the aggregated scores to rank the identified criteria in terms of their approximate quantitative order of importance.
The impacts of introgression were both unpredictable and population-specific; each wild population experienced impacts of a different qualitative and quantitative order when introgressed with farm genetic material.
likely to result in un-predictable gene expression impacts of a different qualitative and quantitative order depending of the wild population introgressed with domestic alleles (Normandeau et al. 2009; Bougas et al. 2010).
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In forming the D ij matrices, we included only markers for which the most likely genotype in the quantitative ordered genotype probability matrix G ij was greater than 0.98 (or 0.49 for the two heterozygous genotypes).
In addition, the microbial quantities are different when using different construction machineries to compact; for the bacteria and actinomycetes, the quantitative size order is: crawler dozer > dump truck.
When many items/measures were given per figure we gave preference to select the quantitative over ordered categorical and over non-quantitative.
For studies that reported on quantitative or ordered categorical measures, we also recorded whether the distribution of the values of the study population for the measure of interest presented in the image was provided.
Any information on the distribution of the main measure of interest on the images was detected in 57 (69%) of the figures (range 0 100% across journals) where any quantitative or ordered categorical information was available, with significant diversity across journals (exact p<0.001) and a non-significantly higher proportion in Radiology than in non-radiology journals (76% vs. 64%, p = 0.34).
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