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To avoid collapse into the reduction formulation, it has to hold that moral obligations are distinct from divine commands.
But neither does the defender of the supervenience view want it to be the extreme dependence of moral obligations on divine commands affirmed by the reduction formulation, on which moral obligations just are divine commands.
The reduction formulation allows that the concept of obligation may be nontheistic while the property that best fills the role assigned to it by that concept is a theistic one.
This approach has been implemented for the P-C expansion formulation, where the size of the FE model is reduced using the Guyan reduction formulation.
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This study has provided a useful tool for comprehensively understanding regional mercury emissions to support robust reduction policies formulation.
While, for yield stress reduction, the best formulation was obtained when it was dissolved in o-xylene, approximately seven times yield stress could be reduced in comparison with crude oil itself.
Free and forced response results are compared to full finite element model (FEM) solutions to determine if any errors are related to the reduced-order model formulation reduction methods.
The justification behind the assumed conditional independence in the proposed model is the same reasoning that the PLSA model is using to make an analytical model, that is, simplification of the model formulation and reasonable reduction of the computational cost.
In the former formulation, the reduction in porosity and moisture transport are considered in flux term which handles diffusion and convention.
The last provides additional means of noise reduction through a covariance formulation that avoids zero-lag terms.
However, the apparent absurdity of the claim that the molecular revolution in biology was not a successful instance of scientific reduction also led the formulation of increasingly more adequate models of theory reduction (Wimsatt 1976; Wimsatt 1980; Schaffner 1993; Waters 1994; Sarkar 1998).
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