Cushman, Richard van der Kallen, Wilberd
Published in
Acta Applicandae Mathematica

In this paper we give an effective method for finding a unique representative of each orbit of the adjoint and coadjoint action of the real affine orthogonal group on its Lie algebra. In both cases there are orbits which have a modulus that is different from the usual invariants for orthogonal groups. We find an unexplained bijection between adjoin...

Prévost, M. Vekemans, D.
Published in
Numerical Algorithms

When the first terms of a sequence (called sequence to predict) are known, a prediction method is a method which gives us an approximation of the following terms (the so-constructed sequence is called the predicted sequence). In this paper, we state two prediction methods, respectively called εp-prediction and partial Padé prediction, which are gen...

Stubbe, Isar
Published in
Applied Categorical Structures

Applying (enriched) categorical structures we define the notion of ordered sheaf on a quantaloid \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathcal{Q}$\end{documen...

Chtourou-Ghorbel, N. Lauga, B. Ben Brahim, N. Combes, D. Marrakchi, M.
Published in
Genetic Resources and Crop Evolution

RAPD analysis was applied to five species belonging to the genusLathyrus (Fabaceae): L.sativus, L.cicera, L.ochrus, L.sylvestris and L.latifolius. All the species under study belong to thesection Lathyrus except L.ochrus which is in section Clymenum.Nine populations representing these species were used and ten random10-mer primers were sampled. A t...

Di Crescenzo, A. Di Nardo, E. Ricciardi, L. M.
Published in
Methodology and Computing in Applied Probability

The first-passage-time problem for a Brownian motion with alternating infinitesimal moments through a constant boundary is considered under the assumption that the time intervals between consecutive changes of these moments are described by an alternating renewal process. Bounds to the first-passage-time density and distribution function are obtain...

Puchta, Jan-Christoph
Published in
The Ramanujan Journal

We give a new proof of a theorem of P. Mihailescu which states that the equation xp − yq = 1 is unsolvable with x, y integral and p, q odd primes, unless the congruences pq ≡ p (mod q2) and qp ≡ q (mod p2) hold.

Mari, Carlo Fulvi
Published in
Journal of Computational Neuroscience

A model of columnar networks of neocortical association areas is studied. The neuronal network is composed of many Hebbian autoassociators, or modules, each of which interacts with a relatively small number of the others, randomly chosen. Any module encodes and stores a number of elementary percepts, or features. Memory items, or patterns, are pecu...

Burde, Dietrich
Published in
Geometriae Dedicata

We study the existence problem for Novikov algebra structures on finite-dimensional Lie algebras. We show that a Lie algebra admitting a Novikov algebra is necessarily solvable. Conversely we present a 2-step solvable Lie algebra without any Novikov structure. We use extensions and classical r-matrices to construct Novikov structures on certain cla...

Renault, Ludovic Chou, Hui -Ting Chiu, Po -Lin Hill, Rena M. Zeng, Xiangyan Gipson, Bryant Zhang, Zi Yan Cheng, Anchi Unger, Vinzenz Stahlberg, Henning
...
Published in
Journal of Computer-Aided Molecular Design

Electron crystallography determines the structure of membrane embedded proteins in the two-dimensionally crystallized state by cryo-transmission electron microscopy imaging and computer structure reconstruction. Milestones on the path to the structure are high-level expression, purification of functional protein, reconstitution into two-dimensional...

Leterrier, Y. Pellaton, D. Mendels, D. Glauser, R. Andersons, J. Månson, J.-A. E.
Published in
Journal of Materials Science

Crack patterns of 53 nm and 103 nm thick silicon oxide coatings on poly(ethylene terephthalate) films are analyzed under equibiaxial stress loading, by means of a bulging cell mounted under an optical microscope with stepwise pressurization of film specimens. The biaxial stress and strain are modeled from classical elastic membrane equations, and a...