Image and video processing applications involve large multidimensional signals which have to be stored in memory modules. In application-specific architectures for real-time multidimensional signal processing, a significant cost in terms of chip area and power consumption is due to these background memory units. The multidimensional signals are usually modeled in behavioral descriptions with ar...

Over the last decade, the R-tree has emerged as one of the most robust multidimensional access methods. However, before the R-tree can be integrated as an access method to a commercial strength database management system, e cient techniques to provide transactional access to data via R-trees need to be developed. Concurrent access to data through a multidimensional data structure introduces the...

Within a lattice approach, the purpose of this paper is to give general necessary and sufficient conditions for internal stabilizability and for the existence of (weakly) left-/right-/doubly coprime factorizations of multi input multi output linear systems. These results extend the ones recently obtained in [24] for single input single output systems. In particular, combining these results with...

Some of recent important developments are overviewed, several longstanding open problems are discussed, and a perspective is presented for the mathematical theory of multidimensional conservation laws. Some basic features and phenomena of multidimensional hyperbolic conservation laws are revealed, and some samples of multidimensional systems/models and related important problems are presented a...

Multidimensional systems describe relations between signals depending on two or more independent variables, like time and space. They are also called distributed parameter systems. The only conventional model for their description are partial diierential equations. This is in contrast to onedimensional (lumped parameter) systems, where a variety of diierent models including transfer functions i...

An analogue of the genuinely nonlinear character of an one-dimensional simple waves solution is identified and essentially used in the construction of some multidimensional extensions (simple waves solutions, regular interactions of simple waves solutions). A class of exact multidimensional gasdynamic solutions is constructed whose interactive elements are regular. Some specific aspects of Burn...

Context as the dynamic information describing the situation of items and users and affecting the user’s decision process is essential to be used by recommender systems in mobile commerce to guarantee the quality of recommendation. This paper proposes a novel multidimensional approach for contextaware recommendation in mobile commerce. The approach represents users, items, context information an...

the long term goal attaining of economic system management requires the establishment of a dynamic framework to integrate multiple perspectives. this article considers the problem of economic development in macro level. as economic systems are complex adaptive systems composed of numerous numbers of components of dynamic and multidimensional nature, dynamics method is applied in this research. ...

We study the bispecial factors in the S-adic system associ6 ated with the Brun Multidimensional Continued Fraction algorithm. 7

We consider autonomous n-dimensional systems over Zn with different degrees of autonomy, which are characterized by the freeness of the system projections on certain sub-lattices of Zn. The main purpose of this contribution is to investigate the implementation of such systems in the context of behavioral control. Taking into account that stable nD behaviors are autonomous, we apply our results ...