In this paper we prove that the projections along reguli of a translation spread of the classical generalized hexagon H(q) are translation ovoids of Q(4, q). As translation ovoids of Q(4, 2r ) are elliptic quadrics, this forces that all translation spreads of H(2r ) are semi-classical. By representing H(q) as a coset geometry, we obtain a characterization of a translation spread in terms of a s...

In order to account for all possible contractions allowed by the presence of the solder form, a generalized Hodge dual is defined for the case of soldered bundles. Although for curvature the generalized dual coincides with the usual one, for torsion it gives a completely new dual definition. Starting from the standard form of a gauge lagrangian for the translation group, the generalized Hodge d...

We describe METEOR, an automatic metric for machine translation evaluation that is based on a generalized concept of unigram matching between the machineproduced translation and human-produced reference translations. Unigrams can be matched based on their surface forms, stemmed forms, and meanings; furthermore, METEOR can be easily extended to include more advanced matching strategies. Once all...

In 1972, I.I. Kotov proposed to separate the surfaces of congruent sections into a class and include plane-and-parallel translation, revolution, carved Monge, cyclic with generatrix circle constant radius, rotative, spiroidal, helical in it. The aim research is obtain generalized parametric equations pendulum type on right cylinders translation movable rigid superellipses. Analytical geometry m...

In this article, we present a novel machine translation model, the Operation Sequence Model (OSM), that combines the benefits of phrase-based and N-gram-based SMT and remedies their drawbacks. The model represents the translation process as a linear sequence of operations. The sequence includes not only translation operations but also reordering operations. As in Ngram-based SMT, the model is: ...

This paper introduces discretionary imprecise data in Data Envelopment Analysis (DEA) and discusses the efficiency evaluation of Decision Making Units (DMUs) with non-discretionary imprecise data. Then, suggests a method for evaluation the efficiency of DMUs with non-discretionary imprecise data. When some inputs and outputs are imprecise and non-discretionary, the DEA model becomes non-linear ...

In this paper we propose a generalization of the Stack-based decoding paradigm for Statistical Machine Translation. The well known single and multi-stack decoding algorithms defined in the literature have been integrated within a new formalism which also defines a new family of stackbased decoders. These decoders allows a tradeoff to be made between the advantages of using only one or multiple ...

The first part of this paper considers some of the reasons why mechanical translation via a logically formalized interlingua is worth pursuing. The interlingua described consists of a network of bonded semantic elements, the bonds being either homogeneous, corresponding to a generalized notion of qualification, or heterogeneous, for dyadic relations. The translation procedure involves a basic p...