Syntactic aspects of hypergraph polytopes

Polytopes Determined by Hypergraph Classes

DEFINITION 1.1. For a finite subset Xc IR n + 1 we say that D is the dominating set of X if (a) Dc X, (b) for all x E X there exist dlo d2 , ••• , dj ED and positive real numbers alo"" aj so that L. a, = I and L. ajdj dominates x, (c) D is minimal with respect to these properties. The elements of D are called dominating vertices. It is not hard to see that D consists of exactly those vertices o...

Combinatorial Aspects of Convex Polytopes

Nominalization – Lexical and Syntactic Aspects

While the choice of morphological markers is lexically determined and highly idiosyncratic – fahren/Fahrt (drive/drive) vs. erklären/Erklärung (explain/explanation)-, syntactic combination follows general rules: the verb assigns nominative and accusative case to the subject and direct object, the derived noun systematically requires genitive case for both complements. These observations exhaust...

Semantic and syntactic aspects of score function

In a Machine Translation System (MTS), the number of possible analyses for a given sentence is largely dve to the ambiguous characteristics of the source language. In this paper, a mechanism, called "Score Function", is proposed for measuring the "quality" of the ambiguous syntax trees such that the one that best fits interpretation by human is selected. It is featured by incorporating the obje...

Some mathematical aspects of syntactic description