We prove that the posets of connected components of intersections of toric and elliptic arrangements defined by root systems are EL-shellable and we compute their homotopy type. Our method rests on Bibby’s description of such posets by means of “labeled partitions”: after giving an EL-labeling and counting homology chains for general posets of labeled partitions, we obtain the stated results by...

In [2] they proved this result counting the multichains of NC(k)(W ). Moreover they considered the case of well-generated complex reflection groups and gave the same result. Our approach is independent to theirs. Our method is using the EL-labeling of NC(k)(W ) introduced by Armstrong and Thomas [1]. If we can give an EL-labeling for NC(W ) for a complex reflction group W , then we can improve ...

The shifted 1/N expansion technique used by El-Said (Phys. Rev. B 61, 13026 (2000)), to study the relative Hamiltonian of two interacting electrons confined in a quantum dot, is investigated. El-Said’s results from SLNT are revised and results from an alternative method are also reported. The distinctive role of the central spike term, (m − 1/4)/q, in determining spectral properties of the abov...

In this paper, the synchronization of a new hyperchaotic complex system based on T-S fuzzy model is proposed. First, the considered hyperchaotic system is represented by T-S fuzzy model equivalently. Then, by using the parallel distributed compensation (PDC) method and by applying linear system theory and exact linearization (EL) technique, a fuzzy controller is designed to realize the synchron...

Recently, Takeya and Shimodori (J. Bacteriol. 85:957, 1963) reported that every known strain of Celebes type El Tor vibrio is lysogenic and produces a characteristic temperate phage which has a very narrow host range. Further studies have revealed that 136 of 138 strains of El Tor vibrio isolated in the epidemic of the West Pacific from 1959 to 1963 were lysogenic and that all the temperate pha...

In this paper, we attempt to investigate the connection between various types of ideals (for examples $(m, n)$-ideal, bi-ideal, interior ideal, quasi ideal, prime ideal and maximal ideal) of an ordered semigroup $(S,cdot ,leq)$ and the correspond hyperideals of its EL-hyperstructure $(S,*)$ (if exists). Moreover, we construct the class of EL-$Gamma$-semihypergroup associated to a partially orde...

In this paper we are concerned with the logical difference problem between ontologies. The logical difference is the set of subsumption queries that follow from a first ontology but not from a second one. We revisit our solution to logical difference problem for EL-terminologies based on finding simulations between hypergraph representations of the terminologies, and we investigate a possible e...

Objective: to construct and validate a tool to assess the use of light technologies by the nursing team at Intensive Care Units. Method: methodological study in which the tool was elaborated by means of the psychometric method for construction based on the categorization of health technologies by Merhy and Franco, from the National Humanization Policy, using the Nursing Intervention Classific...

For practical ontology-based applications representing and reasoning with probabilities is an essential task. For Description Logics with subjective probabilities reasoning procedures for testing instance relations based on the completion method have been developed. In this paper we extend this technique to devise algorithms for solving nonstandard inferences for EL and its probabilistic extens...