Abstract We consider even unimodular lattices that are critical for potential energy with respect to Gaussian functions in the manifold of having point density $1$. All up dimension $24$ critical. show how determine Morse index these cases. While all either local minima or saddle points, we find $32$, which maxima. Also starting from $32$ there non-critical lattices.

Introduction The design of water distribution systems has consistently received a great deal of attention because of its importance to society. Even so, many of the existing pipe networks in older urbanized areas function at severely reduced levels of efficiency and in some cases, are inadequate with respect to meeting the required pressure and flow demands. The investments associated with the ...

LPG is a planner that performed very well in the third and fourth International planning competitions. The system is based on a stochastic local search procedure, and it incorporates several heuristic features. In this paper we experimentally analyze the most important of them with the goal of understanding and evaluating their impact on the performance of the planner. In particular, we examine...

When searching the space of possible plans for combined planning and scheduling problems we often reach a local maximum and must either backtrack or otherwise modify the plan to make further progress. Occasionally, we can make large steps in the search space by aggregating constraints. Our techniques improve the performance of our planner/scheduler on real problems.

In this paper a novel approach to document lines segmentation is presented. The algorithm is based on wavelet transform of the horizontal projective profile of the document image. The projective profile is examined as a one-dimensional signal which is decomposed using the pyramidal wavelet algorithm up to a precise level, where local minima and maxima are discovered. These local extrema, projec...

In this paper an approach to document line segmentation is presented. The algorithm is based on a wavelet transform of the horizontal projective profile of the document image. The projective profile is examined as a one-dimensional discrete signal which is decomposed using the pyramidal wavelet algorithm up to a precise scale, where local minima and maxima are discovered. These local extrema, p...

In this paper we study the motion of a charged particle on a Riemmanian surface under the influence of a positive magnetic field B. Using Moser’s Twist Theorem and ideas from classical pertubation theory we find sufficient conditions to perpetually trap the motion of a particle with a sufficient large charge in a neighborhood of a level set of the magnetic field. The conditions on the level set...

The paper presents a new algorithm for ECG signal compression based on local extreme extraction, adaptive hysteretic filtering and LZW coding. Basically the method consists in smoothing the ECG signal with a Savitzky-Golay filter, extraction of the local minima and maxima, a hysteretic filtering and LZW coding. The reconstruction of the ECG signal is done by cubic interpolation. The algorithm i...

A topological analysis of intracule and extracule densities and their Laplacians computed within the Hartree–Fock approximation is presented. The analysis of the density distributions reveals that among all possible electron–electron interactions in atoms and between atoms in molecules only very few are located rigorously as local maxima. In contrast, they are clearly identified as local minima...