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On the geometric approach to the motion of inertial mechanical systems

According to the principle of least action, the spatially periodic motions of one-dimensional mechanical systems with no external forces are described in the Lagrangian formalism by geodesics on a manifold-configuration space, the group D of smooth orientation-preserving diffeomorphisms of the circle. The periodic inviscid Burgers equation is the geodesic equation on D with the L-2 right-invariant

Analysis of Notched Newsprint Sheet in Mode I Fracture

Abstract in French Nous avons étudié une nouvelle technique permettant d’analyser une feuille de papier encochée chargée en mode I, en se basant sur la modélisation cohésive des craquelures. La méthode prévoit la défaillance finale de la feuille, peu importe sa dimension ou la longueur initiale de la craquelure. Le commencement de la craquelure, le développement de la stabilité de la craquelure etA new approach to analyze notched paper sheet loaded in mode I, based on cohesive crack modelling, is investigated. The method predicts final failure of the sheet, regardless of the sheet size and initial crack length. Onset of crack growth, stable crack growth and onset of unstable crack growth are predicted. The simulations of the notched paper sheet reveal that the concept of autonomy, i.e. ind

Interjections as viewed by Latin grammarians

This article is an overview of the various aspects characterizing the interjection - probably the most controversial linguistic unit in the history of grammatical tradition and modern linguistics - as Latin grammarians outlined them, especially in the postclassical and late antiquity. The corpus employed for the purposes of this study is Henricus Keil's Grammatici Latini, a most valuable and uniqu

A new kind of two-parameter deformation of Heisenberg and parabose algebras and related deformed derivative

We propose a new kind of two-parameter (p, q)-deformed Heisenberg and parabose algebra, which reduces to the Heisenberg algebra for the p = 1 case and to parabose algebra for q = -1 case. Corresponding to the two-parameter deformed oscillator, we also introduce a new kind of (p, q)-deformed derivative which relates to the ordinary derivative and q-deformed derivative in an explicit manner. We stud

Relaxed Optimal Control of Piecewise Linear Systems

This paper applies a dynamic programming relaxation methodpreviously proposed by the authors to optimal control of piecewise linearsystems. The method gives an algorithm to find a sub-optimal valuefunction and control law within a user-specified distance from theoptimal solution. For computational reasons, the value function usedin this paper is piecewise quadratic and continuous. It cannot, ingen

Motivating factors towards willingness to contribute in collaborative tasks: A crisis cooperation perspective

The interaction among various stakeholder organizations in modern crisis response is very similar to negotiation where each organization has its own goal in addition to a common goal. Decision makers in stakeholder organizations most often have to settle for win-win situations to attain higher joint benefit. In such cases willingness to contribute in joint tasks becomes a prerequisite. In our pres

Generationsväxling - en utmanande balansakt

Syftet med föreliggande rapport är att ge en orienterande bild över den kom-munaltekniska sektorns faktiska situation med avseende på pensionsavgångar och den framtida försörjningen av kompetens. Studien har föregåtts av ett idé-seminarium där projektets referensgrupp tillsammans med en personalkonsult (se bilaga 1) genererade en karta över de frågeställningar och problemområden som kommande pensi