The reconstruction of a shape or surface from a finite set of points is a practically significant and theoretically challenging problem. This paper presents a unified view of algorithmic solutions proposed in the computer science literature that are based on the Delaunay complex of the points.

The use of relaxation parameters in hybrid smoothers within algebraic multigrid (AMG) is analyzed both theoretically and practically. Relaxation parameters that are optimal under the assumptions of the theory are determined. The implementation of a procedure to automatically determine outer relaxation parameters for symmetric positive definite smoothers is described. Numerical results are prese...

Collaborative recommendation has emerged as an effective technique for a personalized information access. However, there has been relatively little theoretical analysis of the conditions under which the technique is effective. We analyze the robustness of collaborative recommendation: the ability to make recommendations despite (possibly intentional) noisy product ratings. We formalize robustne...

one of the difficulties in using absolute altitudes is the separation between the mean open sealevel and geoid. theoretically, geoid is the base level in absolute altitudes, but practically, the mean open sealevel is used as a base level for absolute altitudes. the difference between these two levels is called as the seasurface topography. in this research, it is dealt the mean sea level modeli...

We use XSLT to implement an interpreter for a simple XML based imperative programming language called “XIM.” Our work shows that not only is it theoretically possible to use XSLT as a programming language processor, but also that this is practically feasible. This has potential application in the area of delivering executable content over the Internet.

The first case is usually referred to as omissive and the second as commissive. What is traditionally perceived as paradoxical is that although such statements may well be true, asserting them is clearly absurd. An account of Moore’s Paradox is an explanation of the absurdity. In the last twenty years, there has also been a focus on the incoherence of judging or believing such propositions. In ...

The main thrust of this paper will be to illucidate and promote discussion on the relationship between ontologies and natural language. The value, power, and, I will claim, necessity of basing ontology construction on an understanding of natural language is recognized generally neither within AI nor within formal ontology. This is primarily because of a rather impoverished view of language, of ...