Here we investigate an approach which makes use of neural networks appropriately trained on the results of a Monte Carlo system reliability/availability evaluation to quickly provide with reasonable approximation, the values of the quantities of interest for the sensitivity analyses.
Although fundamental relationships between the fitting parameters and a molecular property are not yet available, it is shown, that in a first approximation the values of K1 are related to differences between the solubility parameters of the copolymer components.
He criticized Nicholas of Cusa's approximations and methods to approximate the value of π and gave the approximation 3.14343.
For example, the exponential function ex may be expressed as the sum of the infinite series1 + x + x2/2 + x3/6 + ⋯ + xn/n! + ⋯Stopping the calculation after any finite value of n will give an approximation to the value of ex that will be in error, but this error can be made as small as desired by making n large enough.
As discussed in "Experimental methodology", we designed the source such that its submission time is a good approximation of the value of its timestamp.
This generic procedure, referred to as Least-Squares Dynamic Programming (LSDP), combines an approximation of the value of a sampling policy based on a linear regression, the construction of a batch of MRF realizations and a backwards induction algorithm.
Perhaps there is some range for which the stakes are neither too high nor too low, such that the monetary payoffs may be taken as at least a reasonable approximation of the value of the bets, but this further limits the situations in which the sure loss may be inflicted.
In Proposition II, Archimedes gives an approximation of the value of pi, showing that it is greater than and less than.
Tests of robustness, conducted in light of the skewed distribution, gave an approximation to the value of Md = 174 (Huber's M-estimator = 175.91; Tukey's biweight estimator = 173.28; Hampel's M-estimator = 176.27; Andrews' wave estimator = 173.21).
