In incomplete single-agent search, it is generally accepted that deeper searches produces better results. It has recently been discovered, though, that this is not always the case – such behavior has been termed pathological. This paper identifies two properties of search trees that cause pathological behavior and explains how they produce the pathology. A number of different heuristic function...

The application of the continuous wavelet transform to the study of a wide class of physical processes with oscillatory dynamics is restricted by large central frequencies owing to the admissibility condition. We propose an alternative reconstruction formula for the continuous wavelet transform, which is applicable even if the admissibility condition is violated. The case of the transform with ...

Abstract We extend two characterizations of admissible operators with respect to $$\textrm{L}^p$$ L p more general Orlicz spaces. The equivalent conditions are given by the property that an associated operator generates a strongly continuous semigroup and in terms...

The problem addressed is the distributed reconfiguration of a metamorphic robot system composed of any number of two dimensional robots (modules). The initial configuration we consider is a straight chain of modules, while the goal configuration satisfies a simple admissibility condition. Our reconfiguration strategy depends on finding a contiguous path of cells, called a substrate path, that s...