Data matrix centering is an ever-present yet under-examined aspect of data analysis. Functional analysis (FDA) often operates with a default such that the vectors in one dimension have mean zero. We find along other identifies novel useful mode variation beyond those familiar FDA. explore ambiguities both orientation and nomenclature. Differences between centerings their potential interaction c...

This paper builds on recent research investigating sentence ordering in text production by evaluating the Centering-based metrics of coherence employed by Karamanis et al. (2004) using the data of Barzilay and Lapata (2005). This is the first time that Centering is evaluated empirically as a sentence ordering constraint in several domains, verifying the results reported in Karamanis et al.

A central claim of centering theory (Grosz, Joshi, and Weinstein, 1995, henceforth GJW) is that certain entities mentioned in an utterance are more central than others, and that this property imposes constraints on a speaker’s use of different types of expressions to refer to them. To articulate some of these constraints, they define several fundamental centering concepts and propose rules base...

Inequalities for martingales with bounded differences have recently proved to be very useful in combinatorics and in the mathematics of operational research and computer science. We see here that these inequalities extend in a natural way to ’centering sequences’ with bounded differences, and thus include for example better inequalities for sequences related to sampling without replacement. 1 C...

Since pronouns can be dropped in Thai, a natural language processing system for Thai must be able to resolve referents of the missing pronouns. One of several approaches that have been used for reference resolution is Centering Theory. Centering Theory is a focusing process in which salience of discourse entities is being kept track of. Referents of pronouns or zero pronouns are usually entitie...

AIMS The purpose of this study was to compare the canal centering abilities of rotary nickel-titanium (NiTi) files (ProFile 0.04 and 0.06 and Lightspeed LSX) and NiTi hand K-files in 10° to 25° curved canals. This was compared with the canal centering ability of stainless steel hand K-files using Kuttler's endodontic cube. SETTINGS AND DESIGN The teeth with a 10° to 25° of clinical mesiodista...

BACKGROUND Controlled, uniformly tapered radicular preparation is a great challenge in endodontics. Improper preparation can lead to procedural errors like transportation of foramen, uneven dentine thickness, stripping of root canal, formation of ledge, zip, and elbow in curved canals. These procedural errors and their sequel can adversely affect the prognosis of treatment. AIM/OBJECTIVES The...

‎A full Nesterov-Todd (NT) step infeasible interior-point algorithm‎ ‎is proposed for solving monotone linear complementarity problems‎ ‎over symmetric cones by using Euclidean Jordan algebra‎. ‎Two types of‎ ‎full NT-steps are used‎, ‎feasibility steps and centering steps‎. ‎The‎ ‎algorithm starts from strictly feasible iterates of a perturbed‎ ‎problem‎, ‎and, using the central path and feasi...

We specify an algorithm that builds up a hierarchy of referential discourse segments from local centering data. The spatial extension and nesting of these discourse segments constrain the reachability of potential antecedents of an anaphoric expression beyond the local level of adjacent center pairs. Thus, the centering model is scaled up to the level of the global referential structure of disc...