It is very common to see reported in applied econometric literature time series regression equations with an apparently high degree of fit, as measured by the coefficient of multiple correlation R2 or the corrected coefficient R2, but with an extremely low value for the Durbin-Watson statistic. We find it very curious that whereas virtually every textbook on econometric methodology contains exp...

Article history: Received 31 July 2009 Received in revised form 29 April 2010 Accepted 14 June 2010 Available online 20 June 2010

Predicate abstraction has emerged to be a powerful technique for extracting finite-state models from infinite-state discrete programs. This report presents algorithms and tools for reachability analysis of hybrid systems by combining the notion of counter-example guided predicate abstraction with recent techniques for approximating the set of reachable states of linear systems using polyhedra. ...

In the synchronous discrete model, the average memory capacity of bidirectional associative memories (BAMs) is compared with that of Hopfield memories, by means of a calculat10n of the percentage of good recall for 100 random BAMs of dimension 64x64, for different numbers of stored vectors. The memory capac1ty Is found to be much smal1er than the Kosko upper bound, which Is the lesser of the tw...

In the modeling of unsteady reactive problems, the interaction of turbulence with finiterate chemistry introduces a wide range of space and time scales, leading to additional numerical difficulties. A main difficulty stems from the fact that most numerical algorithms used in reacting flows were originally designed to solve non-reacting fluids. As a result, spatial stiffness due to reacting sour...

1 Abstract All the qualitative simulation algorithms so far proposed depend upon local propagation paradigm, and hence produce spurious states. Recent approaches use topological constraints in phase space diagrams for filtering the spurious states. We propose an alternative method of recognizing global properties in the graphically expressed qualitative model. Qualitative versions of such syste...

In this paper two fundamental questions in the contracted Schrödinger equation ~CSE! approach are considered by using Lipkin’s quasispin model: 1-1 mapping between the second-order reduced density matrix ~2-RDM! and the wave function of an excited state, and the uniqueness of the solution of CSE under incomplete N-representability conditions. We present some examples of the wave functions that ...