Our aim is to study the set of K-rational expressions describing rational series. More precisely we are concerned with the definition of quotients of this set by coarser and coarser congruences which lead to an extension – in the case of multiplicities – of some classical results stated in the Boolean case. In particular, multiplicity analogues of the well known theorems of Brzozowski and Antim...

M athematical concepts and systems of notation are intertwined with human cultural history. The discovery (or invention) of 0, understanding of negative, rational, and real numbers, and development of the calculus took place over thousands of years. But what of those most fundamental of mathematical objects, the positive integers: 1, 2, 3, 4, 5, ...? Until recently, the consensus was that the c...

This overview provides a guideline for the management of stable ischemic heart disease. It represents the work of a primary and secondary panel of participants from across Canada who achieved consensus on behalf of the Canadian Cardiovascular Society. The suggestions and recommendations are intended to be of relevance to primary care and specialist physicians with an emphasis on rational deploy...

Decision support systems (DSS) have been extensively used in the management of natural resources for nearly two decades. However, practical difficulties with the application of DSS in real-world situations have become increasingly apparent. Complexities of decision making, encountered in the context of ecosystem management, are equally present in sustainable forestry. Various writers have criti...

In this paper we propose a new model to represent human debates and methods obtain collective conclusions from them. This overcomes two drawbacks of existing approaches. First, our does not assume that participants agree on the structure debate. It by allowing express their opinion about all aspects Second, participants’ opinions are rational, an assumption significantly limits current Instead,...

‘Concern Alignment in Conversations’ project aims, through empirical examinations of real-life conversations, to establish a theoretical and descriptive framework to capture discourse structures and underlying rational and affective processes in human-human joint planning interactions at dialogue act exchange level. Concern alignment model has been developed to address convergent negotiation fo...