Heuristic search is a state-of-the-art approach to classical planning. Several heuristic families were developed over the years to automatically estimate goal distance information from problem descriptions. Orthogonally to the development of better heuristics, recent years have seen an increasing interest in symmetry-based state space pruning techniques that aim at reducing the search effort. H...

In this paper we give necessary and sufficient conditions for discreteness of a subgroup of PSL(2, C) generated by a hyperbolic element and an elliptic one of odd order with non-orthogonally intersecting axes. Thus we completely determine two-generator non-elementary Kleinian groups without invariant plane with real traces of the generators and their commutator. We also give a list of all param...

This is a collection of corrections and additions to the book, and references to subsequent work. Perhaps the main development since going to press has been continued work by Barbour et al and by Arratia et al, referenced below, on using Stein's method to get explicit bounds for Poisson approximation. However, I have not yet seen any convincing implementation of the Compound Poisson case. Also ...

This article presents maximum likelihood estimators (MLEs) and loglikelihood ratio (LLR) tests for the eigenvalues and eigenvectors of Gaussian random symmetric matrices of arbitrary dimension, where the observations are independent repeated samples from one or two populations. These inference problems are relevant in the analysis of diffusion tensor imaging data and polarized cosmic background...

The problem of estimating the scale matrix ? in a multivariate additive model, with elliptical noise, is considered from decision-theoretic point view. As natural estimators form ˆ = S (where sample covariance and positive constant) perform poorly, we propose general , G ( + Z ) where Moore–Penrose inverse correction matrix. We provide conditions on such that improves over under quadratic loss ...

A vector hydrophone is composed of two or three spatially collocated but orthogonally oriented velocity hydrophones plus an optional collocated pressure hydrophone. A vector hydrophone may form azimuth-elevation beams that are invariant with respect to the sources’ frequencies, bandwidths and radial location (in near field as opposed to the far field). This paper characterizes the spatial match...

The current study presents a mathematical modeling for sandwich panels with foam filled orthogonally rib-stiffened core using Heaviside distribution functions. The governing equations of the static problem have been derived based on classical lamination theory. The present model contains three displacement variables considering all of the stiffness coefficients. A closed form solution using Gal...