We address the problem of minimizing functions on a continuous vector space with the help of models. A theoretical background is established in terms of the AIXI theory, which concerns optimal rational agents in unknown environments. It implies recommendations for the design of optimization algorithms. In the light of this theory, existing model-based algorithms are reviewed. In the second part...

Recently, there has been a lot of interest in studying the global attractivity, the boundedness character, and the periodicity nature of nonlinear difference equations see for example, [1– 22]. The study of the nonlinear rational difference equations of a higher order is quite challenging and rewarding, and the results about these equations offer prototypes towards the development of the basic ...

Research on resource-bounded agents has established that rational agents need to be able to revise their commitments in the light of new opportunities. In the context of collaborative activities, rational agents must be able to reconcile their intentions to do team-related actions with other, conflicting intentions. The SPIRE experimental system allows the process of intention reconciliation in...

Polynomial and rational solutions for linear ordinary differential equations can be obtained by algorithmic methods. For instance, the maple package DEtools provides efficient functions polysols and ratsols to find polynomial and rational solutions for a given linear ordinary differential equation with rational function coefficients. A natural analogue of the notion of linear ordinary different...

In this paper we study non-autonomous algebraic ODEs F(x, y, y) = 0, where F(x, y, z) ∈ Q[x, y, z], provided a proper rational parametrization P (s, t) of the corresponding algebraic surface F(x, y, z) = 0. We show the relation between a rational general solution of the non-autonomous differential equation F(x, y, y) = 0 and a rational general solution of its associated autonomous system with r...

Rational use of antibiotics has become an important issue in medical practice and health care. Clinical guidelines are one of the most useful knowledge resources for rational use of antibiotics. As the monitoring of rational use of antibiotics involves complex knowledge of guidelines analysis and management process, traditional way of human intervention is not sufficient to monitor rational use...