A relevant methodology to summarize three-way data is three-mode factor analysis (T3) (Tucker, 1966) where units, variables and occasions are reduced into a small number of components. Although in multivariate analyses variables and occasions are often summarized by factorial methodologies, units are more frequently partitioned into a few homogeneous classes by a clustering technique. This can ...

For a partition P of a set C we prove that if P maximizes the generalized utilitarian social welfare function then P is a Pareto optimal partition. We also give a condition under whic the partition that maximizes is unique. Mathematics Subject Classification: 58E17, 91B15

In this paper we will introduce a certain collection of fuzzy subsets of a nonempty set X. This certain collection gives raise to a useful new fuzzy partition. This new fuzzy partition gives us a way of generating a fuzzy equivalence relation as in the ordinary case; any partition generates an equivalence relation. Mathematics Subject Classification: 03E72, 46S40, 26E50

Predicting tissue and environmental distribution of chemicals is of major importance for environmental and life sciences. Most of the molecular descriptors used in computational prediction of chemicals partition behavior consider molecular structure but ignore the nature of the partition system. Consequently, computational models derived up-to-date are restricted to the specific system under st...

Introduction: Clinicians use several computer-aided diagnostic systems for depression to authorize their diagnosis. An electroencephalogram  (EEG) may be used as an objective tool for early diagnosis of depression and controlling it from reaching a severe and permanent state. However, artifact contamination reduces the accuracy in EEG signal processing systems. Methods: This work proposes a no...

We classify graphs and, more generally, finite relational structures that are identified by C^2 , is, two-variable first-order logic with counting. Using this classification, we show it can be decided in almost linear time whether a structure is . Our classification implies for every graph logic, all vertex-colored versions of also identified. A similar statement true structures. provide constr...

The profdpm package facilitates inference at the posterior mode for a class of product partition models. Dirichlet process mixtures are currently the only available class members. Several methods are implemented to search for the maximum posterior estimate of the data partition. This article discusses the relevant theory, the R and underlying C implementation, and examples of high level functio...

A complete classification of the WZNW modular invariant partition functions is known for very few affine algebras and levels, the most significant being all levels of SU(2), and level 1 of all simple algebras. In this paper we solve the classification problem for SU(3) modular invariant partition functions. Our approach will also be applicable to other affine Lie algebras, and we include some p...

Converged quantum mechanical vibrational-rotational partition functions and free energies are calculated using realistic potential energy surfaces for several chalcogen dihydrides (H20, D20, H 2S, H2Se) over a wide range of temperatures (600-4000 K). We employ an adaptively optimized Monte Carlo integration scheme for computing vibrational-rotational partition functions by the Fourier path-inte...