We consider an extention of a question of Erdős on the number of k-gons in a set of n points in the plane. Relaxing the convexity restriction we obtain results on 5-gons and 5-holes (empty 5-gons).

A simple parallel algorithm for decoding a Huuman encoded le is presented , exploiting the tendency of Huuman codes to resynchronize quickly in most cases. An extention to JPEG decoding is mentioned.

For a locally compact group G, we prove that a topological inner invariant mean on LUC(G) has an extension to a topological inner invariant mean on L∞(G). Mathematics Subject Classification: 43A07, 43A10

In this paper, we give method for probabilistic assignment to the Realistic Abduc-tive Reasoning Model, proposed in 1]. The knowledge is assumed to be represented in the form of causal chaining, namely, hyper-bipartite network. Hyper-bipartite network is the most generalized form of knowledge representation for which, so far, there has been no way of assigning the probability to the explanation...

The structure of objects employed in the study of Natural Language Semantics has been increasingly being complicated to represent the items of information conveyed by utterances. The complexity becomes a source of troubles when we employ those theories in building linguistic applications such as speech translation system. To understand better how programs operating on semantic representations w...

On the example of electroproduction 12 Λ B we show effects in cross section caused by various choices momentum initial proton. We have found that are quite noticeable, mainly for small kaon angles. This extention our model calculations beyond frosen-proton approximation represents an important improvement theoretical predictions.

Composite objects are descriptions of collections of components which themselves can be collections of their subcomponents. Efficient storage structuring and fast retrieval of the composite objects are essential to computer aided design applications of database management systems. This paper introduces two clustering methods: a structural clustering and a function-propagation clustering, in whi...