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In this paper we introduce a new family of inequalities (1) that encode the best possible quantification of the strictness of the non-trivial 1-negative type inequalities for finite metric trees.
The goal of exploratory modeling is to better understand the system of interest through delineation of plausible boundaries, description of patterns within multidimensional model space, and to the extent possible, quantification of the likelihood of occurrence of different model outcomes.
The term "cumulative risk assessment" is defined as an analysis, characterization, and possible quantification of the combined risks to human health or the environment from multiple agents or stressors (U.S. EPA 2003).
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The U.S. Environmental Protection Agency EPAA) defines cumulative risk as the combined risks from aggregate exposure to multiple stressors (U.S. EPA 2003), and cumulative risk assessment as an analysis, characterization, and possible quantification of these risks.
We investigate possible quantifications of the Banach Saks property and the weak Banach Saks property.
This requires consideration and, where possible, quantification of possible biases in the methodology, as well as statistical techniques to identify the precision of the estimates.
These algorithms represented a range of approaches for the possible quantification of diffuse brain SPECT perfusion heterogeneity.
We examined several robustness criteria as a possible quantification of performance deviations under uncertain recipe variables.
In his detailed and comprehensive account, Smil presents the best possible quantifications of past and current global losses in order to assess the evolution and extent of biomass harvests.
With the promise of additional maxicircle genome sequences on the horizon [ 31], extensive studies will be possible, allowing the quantification of the preliminary observations made with the three clade representatives used here.
On the other hand, we present a possible quantification, calculated from a number of real applications, of the effect of incorporating certain usability features at design time.
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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