1.1. This article surveys some developments in pure mathematics which have, to varying degrees, grown out of the ideas of gauge theory in Mathematical Physics. The realisation that the gauge fields of particle physics and the connections of differential geometry are one and the same has had wide-ranging consequences, at different levels. Most directly, it has lead mathematicians to work on new ...

Tool integration is still lacking appropriate solutions. For an integration project at DaimlerChrysler a number of requirements have been identified which shall lead to a sustainable integration framework being open to further evolution. The requirements are based on a number of principles and cover several levels: user, system, architectural, and realisation requirements. Having these requirem...

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...

good governance is an idea which has many advocates and opponents. from last years of 1980s this term became common. however, there is not any clear definition or description for good governance or even governance. though unanimity on its characteristics is invisible, it is possible to consider eight characteristics for god governance: participation, accountability, transparency, rule of law, r...

We would like to congratulate Jianqing Fan for an excellent and well-written survey of some of the literature in this area. We will here focus on some of the issues which are at the research frontiers in financial econometrics but are not covered in the survey. Most importantly, we consider the estimation of actual volatility. Related to this is the realization that financial data is actually o...

A common method to determine the order of minimal realization of a continuous linear time invariant descriptor system is to decompose it into slow and fast subsystems using the Weierstrass canonical form. The Weierstrass decomposition should be avoided because it is generally an ill-conditioned problem that requires many complex calculations especially for high-dimensional systems. The present ...