We use C to denote various constants which may be different from in particular cases of use throughout.
However, in the particular case of opioid use disorders, associations with the A1 allele have been found in some studies [ 17, 18], but not in others [ 19, 20].
For the particular case of data used in the study on PFAs, the surrogate variables are measured concentrations of PFOA, PFOS, and PFHxS, which correspond to the exposures to the compounds reported on a continuous scale in log-molar units.
The following corollary is a particular case of Theorem 37 using the described functions ψ, ϕ, and φ.
The gain functions are a particular case of the techniques used in decision trees and decision rules for selecting the attributes, which is why they are not considered separately.
A Spanish study, in which the HDAD was compared with 4 population cancer registries, showed that, in the particular case of breast cancer (using the same definition applied for this study), the positive predictive value for the HDAD definition was above 80% [ 36].
In Step 1, the metabolic network reconstruction was translated into a kinetic model using a particular case of GMA kinetics that allowed us to lump several parameters into a single parameter that can be estimated from metabolic flux measurements (see Additional file 1).
In the particular case of operation of plant, the use of a 'living' safety case or probabilistic safety assessment, building upon operational experience, is becoming more widespread, both as an operational tool and as a basis for communication with the regulator.
The local gradient method, which is a particular case of regression method, has been used to quantify orientation and isotropy properties of a region of interest in an image24, based on the evaluation of the structure tensor in a local neighborhood25.
In the particular case of p-Laplacian operators, one can use the positive homogeneity for weakening assumption (2.17) of Theorem 2.4 and widening the class of the admissible Nagumo functions, as we show in the following result.
It could be useful for solving different recurrence relations, but, particularly for the solution of the canonical three-term recurrence relation it is sufficient to use a particular case of the R-sum, namely the reduced R-sum, which is described in the next section.
