The graph realization problem is to find for given nonnegative integers a1, . . . , an a simple graph (no loops or multiple edges) such that each vertex vi has degree ai. Given pairs of nonnegative integers (a1, b1), . . . , (an, bn), (i) the bipartite realization problem ask whether there is a bipartite graph (no loops or multiple edges) such that vectors (a1, ..., an) and (b1, ..., bn) corres...

There are two broad approaches to formal statistical inference taken as concerned with the development of methods for analysing noisy empirical data and in particular as the attaching of measures of uncertainty to conclusions. The object of this paper is to summarize what is involved. The issue is this. We have data represented collectively by y and taken to be the observed value of a vector ra...

This paper presents the issues necessary to solve in the designing process of multichannel optical communication systems topologies. The main design assumption is the acceptance of multichanneling in communication system realization. In particular, the basics of designing physical and logical topologies are shown. Also cost aspects of physical and logical topologies realization are shown.

We investigate the gauging of conformal algebras with relations between the generators. We treat the W 5/2 –algebra as a specific example. We show that the gauge-algebra is in general reducible with an infinite number of stages. We show how to construct the BV-extended action, and hence the classical BRST charge. An important conclusion is that this can always be done in terms of the generators...

Dedicated to my long-time friend and colleague, Paul Fuhrmann, on the occasion of his 60 th birthday Abstract We show how a certain class of Hamiltonian systems give rise to diierential equations on spaces of matrices whose elements are rational functions. In particular, we reinterpret the results of Kac and van Moerbeke on the periodic Toda lattice in terms of such diierential equations and re...

The article deals with the description of the conceptual and linguistic nature, the modus character and the field structure of the linguistic category of the approximation. It also deals with the analysis of the role of the inherent and adherent approximators as well as the context in the realization of the invariant meaning of the approximation in the German language. Pragmatic potential of th...