We provide in this paper a pair of properties that are both necessary and sufficient to characterize the domain of single-peaked preference profiles. This characterization allows for a definition of single-peaked preference profiles without using an ad-hoc unlerlying order of the alternatives and also sheds light on the structure of single-peaked profiles. Considering the larger domain of value...

Multivariate curve resolution via alternating least squares (ALS) is used to resolve the concentration profiles and the pure component spectra of species from the multivariate absorbance data , assuming the bilinear model = . Due to the possible permutations of profiles and the presence of intensity and rotational ambiguities, soft constraints such as nonnegativity of and as well as unimodality...

We followed the changes in the activities of four enzymes (aldolase, aspartate aminotransferase, creatine kinase, and lactate dehydrogenase) in plasma for four days after head injury. The progression of the changes differs significantly between survivors and nonsurvivors. Stepwise discriminant analysis, involving the four enzymes, allowed us to divide 81 to 92% of head-injured patients (n = 280...