Database design aims to find a database schema that permits the efficient processing of common types of queries and updates on future database instances. Full first-order decompositions constitute a large class of database constraints that can provide assistance to the database designer in identifying a suitable database schema. We establish a finite axiomatisation of full first-order decomposi...

The ubiquity of hierarchical order is obvious, and the obvious is hard to explain, but a number of workers [1] have suggested the possibility of constructing a theory (or cluster of theories), rooted in such disciplines as thermodynamics, information theory, topology, and logic, which might reveal the underlying unity of a wide variety of branching and multi-level systems. It is the purpose of ...

We congratulate Lee, Nadler and Wasserman (henceforth LNW) on a very interesting paper on new methodology and supporting theory. Treelets seem to tackle two important problems of modern data analysis at once. For datasets with many variables, treelets give powerful predictions even if variables are highly correlated and redundant. Maybe more importantly, interpretation of the results is intuiti...

this paper has revised the combined model of chan & qi with supply chain operations reference (scor) .this combined model with hierarchical structure, has three levels and seven criteria that some criteria are quantitative (cost, use of source) and others of them are qualitative (quality, flexibility, tangible, validity and innovation). in order to improvement of this model, this paper has comb...