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Ein Gestalter - in allem
(2016)
The aim of the paper is to present the simulation of the sweeping process based on a mathematical model that includes the drag force, the lift force, the sideway force, and the gravity. At the beginning, it is presented a short history of the street sweepers, some considerations about the sweeping process and the parameters of the sweeping process. Considering the developed model, in Matlab there is done some simulation for the trajectory of a spherical pebble. The obtained results are presented in graphical shape.
In this paper totally nonnegative (positive) matrices are considered which are matrices having all their minors nonnegative (positve); the almost totally positive matrices form a class between the totally nonnegative matrices and the totally positive ones. An efficient determinantal test based on the Cauchon algorithm for checking a given matrix for falling in one of these three classes of matrices is applied to matrices which are related to roots of polynomials and poles of rational functions, specifically the Hankel matrix associated with the Laurent series at infinity of a rational function and matrices of Hurwitz type associated with polynomials. In both cases it is concluded from properties of one or two finite sections of the infinite matrix that the infinite matrix itself has these or related properties. Then the results are applied to derive a sufficient condition for the Hurwitz stability of an interval family of polynomials. Finally, interval problems for a subclass of the rational functions, viz. R-functions, are investigated. These problems include invariance of exclusively positive poles and exclusively negative roots in the presence of variation of the coefficients of the polynomials within given intervals.
A real matrix is called totally nonnegative if all of its minors are nonnegative. In this paper the extended Perron complement of a principal submatrix in a matrix A is investigated. In extension of known results it is shown that if A is irreducible and totally nonnegative and the principal submatrix consists of some specified consecutive rows then the extended Perron complement is totally nonnegative. Also inequalities between minors of the extended Perron complement and the Schur complement are presented.
Scoring LSP tasks
(2016)
Energiewirtschaft und Wassernutzung stehen aufgrund der großen Bedeutung von Kohle-, Kern-, und Wasserkraftwerken in Baden-Württemberg in einem engen Zusammenhang. Niedrige Flusswasserstände können in Trockenzeiten zu Konflikten zwischen den verschiedenen Wassernutzern z.B. der Kühlwassernutzung (Abbildung 1), Bewässerung sowie der Nutzung des Neckars als Schifffahrtsstraße führen. Seit dem Trockensommer 2003 nimmt das Bewusstsein für die Relevanz konkurrierender Wassernutzungen, u.a. von Kühlwassernutzung, Bewässerung für die Landwirtschaft, Nutzung der Wasserwege für den Transport von Massengütern sowie für Belange des Naturschutz zu.