In this paper, the continuity and strong continuity in domain-free information algebras and labeled information algebras are introduced respectively. A more general concept of continuous function which is defined between two domain-free continuous information algebras is presented. It is shown that, with the operations combination and focusing, the set of all continuous functions between two do...

In this paper, the continuity and strong continuity in domain-free information algebras and labeled information algebras are introduced respectively. A more general concept of continuous function which is defined between two domain-free continuous information algebras is presented. It is shown that, with the operations combination and focusing, the set of all continuous functions between two do...

Starting from a given factorizing S-matrix S in two space-time dimensions, we review a novel strategy to rigorously construct quantum field theories describing particles whose interaction is governed by S. The construction procedure is divided into two main steps: Firstly certain semi-local Wightman fields are introduced by means of Zamolodchikov's algebra. The second step consists in proving t...

We obtain an improved Sobolev inequality in Ḣ spaces involving Morrey norms. This refinement yields a direct proof of the existence of optimizers and the compactness up to symmetry of optimizing sequences for the usual Sobolev embedding. More generally, it allows to derive an alternative, more transparent proof of the profile decomposition in Ḣ obtained in [19] using the abstract approach of di...

China is in the process of rapid urbanization, and wise land use is critical to the longterm sustainability of Chinese cities. Promotion of a compact city is typically believed to be a helpful for sustainable land use management. However, given the fact that Chinese cities are characterized by high population densities, the applicability of a more compact solution to expanding cities in China r...

Abst rac t : We present deadlock-free packet (wormhole) routing algorithms based on multi-dimensional interval schemes for cert~n multiprocessor interconnection networks and give their analysis in terms of the compactness and the size (the maximum number of buffers per node (per link)). The issue of a simultaneous reduction of the compactness and the size is fundamental, worth to investigate an...