A new topological representation of surfaces in higher dimensions, “cell-chains” is developed. The representation is a generalization of Brisson’s cell-tuple data structure. Cell-chains are identical to cell-tuples when there are no degeneracies: cells or simplices with identified vertices. The proof of correctness is based on axioms true for maps, such as those in Brisson’s cell-tuple represen...

3D object search and retrieval has become a very challenging research field over the last years with application in many areas like computer vision, car industry, medicine, etc. All approaches that have been proposed so far are based on the analysis of the shape of the 3D object, either concerning its surface or its volume. In this paper, a completely different approach is followed: Instead of ...

The site occupation in the Cr-Ru and Cr-Os phases is computed as a function of temperature. Generally, in phases the larger atoms occupy the sites with larger coordinations numbers, as can be explained on the basis of atomic-size and electronic structure. However, for Cr2Ru and Cr2Os the atomic-size argument predicts that Ru and Os occupy the sites with larger coordination numbers, whereas the ...

Products and coproducts may be recognized as morphisms in a monoidal tensor category of vector spaces. To gain invariant data of these morphisms, we can use singular value decomposition which attaches singular values, ie generalized eigenvalues, to these maps. We show, for the case of Grassmann and Clifford products, that twist maps significantly alter these data reducing degeneracies. Since no...

There are three parameter degeneracies inherent in the three–neutrino analysis of long–baseline neutrino experiments. We develop a systematic method for determining whether or not a set of measurements in neutrino oscillation appearance experiments with approximately monoenergetic beams can completely resolve these ambiguities. We then use this method to identify experimental scenarios in which...

Abstract – Many real-world networks exhibit a high degeneracy at few eigenvalues. We show that a simple transformation of the network’s adjacency matrix provides an understanding to the origins of occurrence of high multiplicities in the networks spectra. We find that the eigenvectors associated with the degenerate eigenvalues shed light on the structures contributing to the degeneracy. Since t...

The introduction of Exascale storage into production systems will lead to an increase on the number of storage servers needed by parallel file systems. In this scenario, parallel file system designers should move from the current replication configurations to the more space and energy efficient erasure-coded configurations between storage servers. Unfortunately, the current trends on energy eff...

Controlled Perturbation is a framework for perturbing geometric arrangements to make them more robust for further manipulation. The idea is to slightly perturb the arrangement to make it more robust for finite precision arithmetic. We present a Controlled Perturbation scheme for arrangements of line segments in IR (CPAL for short). CPAL perturbs the endpoints of the arrangement to eliminate deg...

For hydrologic applications, terrain models should have few local minima, and drainage lines should coincide with edges. We show that triangulating a set of points with elevations such that the number of local minima of the resulting terrain is minimized is NP-hard for degenerate point sets. The same result applies when there are no degeneracies for higher-order Delaunay triangulations. Two heu...

Life cycle assessment framework for railway bridges: literature survey and critical issues Guangli Du & Raid Karoumi To cite this article: Guangli Du & Raid Karoumi (2014) Life cycle assessment framework for railway bridges: literature survey and critical issues, Structure and Infrastructure Engineering, 10:3, 277-294, DOI: 10.1080/15732479.2012.749289 To link to this article: http://dx.doi.org...