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The mean value of probabilistic support safety factor for the case study mine was found to be 1.24.
And the sensitivity and function value of probabilistic constraint at the most probable point (MPP) are obtained in the process of finding reliability information.
In this paper, we obtain a purely structural characterization of SΠ-nets for which a product-form solution exists for any value of probabilistic parameters of the SPN and for any initial marking.
Studies in psychopharmacology, neuroscience, and behavioral economics have revealed that humans and non-human animals discount the value of probabilistic rewards as the receipt becomes more uncertain ("probability discounting", [ 1- 5]).
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Values of probabilistic non-dimensional coefficients are given for typical cases of piles having constant bending stiffness and driven in soft saturated clays.
The optimised values of probabilistic parameters were also used for the other two scenarios (Figure 6b,c).
Individual volumes were calculated by summing (over voxels) the values of probabilistic tissue segmentations produced using SPM8 (http://www.fil.ion.ucl.ac.uk/spm/software/spm8) multiplied by the voxel volume.
An earlier developed parameter-mapping scheme was used to estimate the values of probabilistic constants, which are directly used in our simulations, from experimentally known values of physical variables [ 11– 13].
The values of probabilistic parameters are estimated from the counts of oligonucleotides; P w) ≈ N w)/(l i − m + 1) and P(b| w) ≈ N wb)/ N w), N denotes the count.
In this study, the convex linearization is constructed by utilizing the sensitivity and function value of the probabilistic constraint at the MPP.
In this case, the maximum of the upper bound of confidence interval of design objective is selected as the objective function, while the minimal value of the probabilistic constraint is selected as the constraint function.
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