In this framework, a social choice function is a function from a vector of individual preference relations over a set A of alternatives, ⟨≽1,…,≽n⟩, to a collective preference relation ≽ over the same set of alternatives, hence ≽ = r(⟨≽1,…,≽n⟩).
Abstract shape analysis and Pareto optimization produce about the same set of alternative "interesting" structures.
Here we test the Abstract shape analysis and Pareto optimization produce about the same set of alternative "interesting" structures.
Our Hypothesis D is a somewhat radical statement: Abstract shape analysis and Pareto optimization produce about the same set of alternative "interesting" structures.
As we knew from previous studies that we could not repeat the MWM on the same set of mice, we used an alternative version that only tests memory (Gulinello et al., 2009) and addresses some of the confounding factors that arise when testing older mice in the MWM.
The objective function (6) in this model maximizes the ratio of the grey relational grade of alternative (A_k ) to the maximum grey relational grade across all alternatives for the same set of weights (( {{max Gamma _k }/{mathop {mathrm{max}}limits _{i=1,ldots,m} Gamma _i }} )).
To test the robustness of the findings with the base specifications, the same set of regressions was estimated utilizing two alternative control variables (investment profile and risk for inflation) and an alternative trade openness indicator (the share of imports on GDP).
The same set of strains was investigated with five alternative molecular typing methods: enterobacterial repetitive intergenic consensus PCR (ERIC-PCR), repetitive extragenic palindromic PCR (REP-PCR), amplified fragment length polymorphism, single triplicate arbitrarily primed PCR, and pulsed-field gel electrophoresis in order to compare the discriminatory power of these methods.
Additionally, through integration of slope graphs, LineUp can also be used to compare multiple alternative rankings on the same set of items, for example, over time or across different attribute combinations.
Pot experiments were conducted in Czech Republic, Denmark, Germany, Italy, and Switzerland where the same variety of maize was grown in local soils deficient in P in combination with alternative fertilizers and the same set of BEs (Trichoderma, Pseudomonas, and Bacillus strains).
Most alternatives do not have the same set of features that made Quicken for Mac so popular with its users, but hopefully the Quicken faithful running Mac OS X 10.7 will not have to wait much longer.
