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The four theories concur that there are important ethical responsibilities to support initiatives to improve the health of the worst off worldwide, but offer different rationales for intervention and suggest different implicit limits on responsibilities.
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This paper aims at proposing an original approach to approximate implicit limit state functions.
The improved LS technique is a novel methodology for reliability and sensitivity analysis of high dimensionality and low probability problem with implicit limit state function, and it does not require any approximating surrogate of the implicit limit state equation.
Practically, the performance of many engineering problems can be defined using a complex implicit limit state function.
This paper investigates the efficiency of different approaches for structural reliability analysis with implicit limit state functions.
Once the approximate form of the original implicit limit state/performance function is defined, the failure probability can be obtained by statistical simulation.
Typically, the response surface is built from polynomials whereof unknown coefficients are estimated from an implicit limit state function numerically defined at fitting points.
After the high quality surrogate of the implicit limit state is available by the advanced Kriging model, the Monte Carlo simulation method is employed to implement reliability analysis.
The developed method combines optimization-based and simulation-based approaches and is particularly applicable for problems with highly non-linear and implicit limit state functions.
A generalized framework for reliability estimation is then established for series system reliability problems with large numbers of random variables and complicated, implicit limit states.
."); 1 Davis & Pierce , Administrative Law Treatise§ 2.6, at 66 ("The Court was probably mistaken from the outset in interpreting Article I's grant of power to Congress as an implicit limit on Congress' authority to delegate legislative power").
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