In this short paper we introduce some novel arguments based on legal cases represented as sets of dimensions. Although there has been much work on arguments based on factors, there has been relatively little recent work which has exploited dimensional representations. The arguments that we consider have a flavour quite distinct from those generated from cases represented as factors, which lack ...

SUMMARY Posterior consistency and the parallel behaviour of consistency of maximum likelihood estimators is analyzed in nonparametric statistical problems. The framework is the hypo-Strong Law of Large Numbers, a form of " one-sided " Uniform Law of Large Numbers.

In previous work we presented argumentation schemes to capture the CATO and value based theory construction approaches to reasoning with legal cases with factors. We formalised the schemes with ASPIC+, a formal representation of instantiated argumentation. In ASPIC+ the premises of a scheme may either be a factor provided in a knowledge base or established using a further argumentation scheme. ...

Abstract. This paper obtains all solvable 3-Lie algebras with the m-dimensional filiform 3-Lie algebra N (m ≥ 5) as a maximal hypo-nilpotent ideal, and proves that the m-dimensional filiform 3-Lie algebra N can’t be as the nilradical of solvable non-nilpotent 3-Lie algebras. By means of one dimensional extension of Lie algebras to the 3-Lie algebras, we get some classes of solvable Lie algebras...

We consider 6-dimensional nearly Kähler manifolds M and prove that any totally geodesic hypersurface N of M is a Sasaki-Einstein manifold, and so it has a hypo structure in the sense of [8]. We show that such a hypo structure defines a nearly Kähler structure on N × R, and a compact nearly Kähler structure with conical singularities on N 5 × S 1 when N is compact. Moreover, an extension of the ...

We introduce a novel optimization problem to support the planning and routing of on-demand buses in an urban context. call this bus (ODBRP). Given are fleet with fixed capacity, set stations travel times between them, transportation requests. Each request consists potential departure arrival stations, as well time window, that is, earliest latest time. The aim ODBRP is (1) assign each passenger...

This paper concerns the behavior of an SINR diagram of wireless systems, composed of a set S of n stations embedded in R, when restricted to the corresponding Voronoi diagram imposed on S. The diagram obtained by restricting the SINR zones to their corresponding Voronoi cells is referred to hereafter as an SINR+Voronoi diagram. The study of SINR+Voronoi diagrams is motivated by the following tw...

the automatic assignment of protein secondary structure from three dimensional coordinates is an essentialstep in the characterization of protein structure.although, the recognition of secondary structures suchas alpha-helices and beta-sheets seem straightforward, but there are many different definitions, eachregarding different criteria. we have developed a newalgorithm for protein helix assig...

Multi-hop relaying in cellular networks can greatly increase capacity and performance by exploiting the best available relay links to a base station. We envision an environment in which relay networks are dynamically formed when performance on the radio access network is degraded and then dissolved when the performance improves or the radio spectrum on which the relay network is operating is re...