The model elimination calculus is a linear, refutationally complete calculus for rst order clause logic. We show how to extend this calculus with a framework for theory reasoning. Theory reasoning means to separate the knowledge of a given domain or theory and treat it by special purpose inference rules. We present two versions of theory model elimination: the one is called total theory model e...

Terrain LOD algorithm is a dynamic and local dough sheet subduction algorithm. On the basis of the research on traditional quadtree algorithm, this paper proposed a new terrain LOD algorithm using quadtree. On deviation computing standard, besides static deviation and view distance, motion vector and observation vector are introduced, which made the result of deviation computing close to the ac...

Fourier-Motzkin variable elimination is introduced as a complete method for deciding linear arithmetic inequalities over R. It is then shown how this method can be extended to also work over Z, giving the Omega Test [2].

A simple but powerful modification of the standard Gaussian distribution is studied. The variables of the rectified Gaussian are constrained to be nonnegative, enabling the use of nonconvex energy functions. Two multimodal examples, the competitive and cooperative distributions, illustrate the representational power of the rectified Gaussian. Since the cooperative distribution can represent the...

In this article we extend and generalize the ideas of two previous articles devoted to linear sensor networks to nonlinear systems. In those previous articles the use of cutsets and a decomposition procedure were proposed and proved efficient to solve large scale linear problems. In this article we show that a similar procedure, now based on a variable elimination scheme, can be also used effic...

We present new complexity results on the class of All constraints The central idea involves func tional elimination a general method of elimination whose focus is on the subclass of functional constraints One result is that for the subclass of All constraints strong n consistency and minimality is achievable in O en time where e n are the number of constraints and variables The main result is t...

In this paper we present two different variants of method for symmetric matrix inversion, based on modified Gaussian elimination. Both methods avoid computation of square roots and have a reduced machine time’s spending. Further, both of them can be used efficiently not only for positive (semi-) definite, but for any non-singular symmetric matrix inversion. We use simulation to verify results, ...

Environmental pollution is one of the serious crisis to which we are facing today. It is fact that three basic elements air, water and land which constitute harmony of nature for proper and balance living of all organisms, it was fortunate enough that such hospitable and balance environment was the destiny of our predecessors. But it is contrary to living of the present environment. With the ra...

There is currently much debate about sources of pollution, particularly nutrient pollution of surface and groundwaters. It frequently appears that everyone is quite confident everyone else is contributing far more than they are. The reality, particularly for nutrient pollution, is that we all are part of the problem and must be part of the solution. This paper offers a science-based perspective...