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The volume of available observational data is, however, growing, and qualitative facts are emerging that may eventually serve as a basis for quantitative theory.
The results also provide a basis for quantitative investigations of the engineering design of hydraulic fracturing treatments.
The advantages of using an explicit optimization formulation include clear articulation of performance trade-offs and the provision of a clear basis for quantitative comparison of different strategies.
Thus, the derived mean parameter set can be used as a basis for quantitative and predictive simulations of particle distributions and clogging effects at both lab and field scale.
Our results provide a basis for quantitative rationales behind HER2 diagnostic guidelines that call for increased numbers of evaluated cells and emphasize the importance of well-designed data analysis methods in diagnostic pathology, especially for predictive clinical application.
Model simulations were designed to investigate the combined influences of persistent disequilibrium, reddening, and equifinality on lake water and sediment (i.e., biogenic and endogenic carbonate mineral) oxygen isotope (δ18O) values and to provide a basis for quantitative, probabilistic climate reconstructions using lake sediment δ18O records.
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Such models are the basis for many quantitative genetic approaches for dissecting genetic and environmental effects in quantitative traits.
Beta-diversity gives a quantitative measure of differences between two microbial samples, forming the basis for a quantitative comparison of multiple samples.
Regarding the targeted lesions, the K s ( c ) image is, moreover, in good quantitative agreement with the K m image and could thus serve as a basis for regional quantitative evaluation.
A questionnaire developed from the findings of the qualitative research11,12 was used as the basis for this quantitative study.
The exploratory findings in the qualitative study form the basis for the quantitative study survey research.
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