Port-Hamiltonian modeling of ideal fluid flow: Part I. Foundations and kinetic energy

Part I FOUNDATIONS

Part I Foundations

Modeling Belief in Dynamic Systems, Part I: Foundations

Belief change is a fundamental problem in AI: Agents constantly have to update their beliefs to accommodate new observations. In recent years, there has been much work on axiomatic characterizations of belief change. We claim that a better understanding of belief change can be gained from examining appropriate semantic models. In this paper we propose a general framework in which to model belie...

Computational Phonology - Part I: Foundations

Computational phonology approaches the study of sound patterns in the world’s languages from a computational perspective. This article explains this perspective and its relevance to phonology. A restrictive, universal property of phonological patterns— they are regular—is established, and the hypothesis that they are subregular is presented. This article is intended primarily for phonologists w...

Hydrodynamics for an Ideal Fluid: Hamiltonian Formalism and Liouville-equation

Clebsch 1'2) was the first to derive, in 1859, the hydrodynamic equations for an ideal fluid from a variational principle for Euler coordinates. His derivation was, however, restricted to the case of an incompressible fluid. Later Bateman 3) showed that the analysis of Clebsch also applies to compressible fluids if the pressure is a function of density alone. Finally, in 1968, Seliger and Whith...