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Soccer simulation league is one of the founding leagues of RoboCup. In this paper we discuss the past, present and planned future achievements and changes. Also we summarize the connections and inter-league achievements of this league and provide an overview of the community contributions that made this league successful.
The invention concerns a method for spectrum monitoring a given frequency band, in which the spectral power density (S(f)) within the given frequency band is determined for all noise and signal components in the frequency band and, in order to detect the presence of one or more signals within the given frequency band, it is evaluated whether the spectral power density (S(f)) exceeds a threshold value (&lgr;). According to the invention, the threshold value (&lgr;) is calculated in accordance with an estimation of a distribution density (hR(S)) for the noise component of the spectral power density (S(f)) within the given frequency band and in accordance with a predefined value for the false-alarm probability (Pfa).
Die Erfindung betrifft ein Verfahren zum Spektrum-Monitoring eines vorgegebenen Frequenzbandes, bei dem die spektrale Leistungsdichte (S(f)) innerhalb des vorgegebenen Frequenzbandes für alle in dem Frequenzband enthaltenen Rausch- und Signalanteile bestimmt wird und für das Detektieren des Vorhandenseins eines oder mehrerer Signale innerhalb des vorgegebenen Frequenzbandes das Überschreiten eines Schwellenwertes (λ) durch die spektrale Leistungsdichte (S(f)) ausgewertet wird. Erfindungsgemäß wird der Schwellenwert (λ) abhängig von einer Schätzung einer Verteilungsdichte (hR(S)) für den Rauschanteil der spektralen Leistungsdichte (S(f)) innerhalb des vorgegebenen Frequenzbandes und einem vorgegebenen Wert für die Falschalarmwahrscheinlichkeit (Pfa) berechnet.
Smartphones Welcome! Preparatory Course in Mathematics using the Mobile App MassMatics. Case Study
(2015)
The instability of ultra-thin films of an electrolyte bordering a dielectric gas in an external tangential electric field is scrutinized. The solid wall is assumed to be either a conducting or charged dielectric surface. The problem has a steady one-dimensional solution. The theoretical results for a plug-like velocity profile are successfully compared with available experimental data. The linear stability of the steady-state flow is investigated analytically and numerically. Asymptotic long-wave expansion has a triple-zero singularity for a dielectric wall and a quadruple-zero singularity for a conducting wall, and four (for a conducting wall) or three (for a charged dielectric wall) different eigenfunctions. For infinitely small wave numbers, these eigenfunctions have a clear physical meaning: perturbations of the film thickness, of the surface charge, of the bulk conductivity, and of the bulk charge. The numerical analysis provides an important result: the appearance of a strong short-wave instability. At increasing Debye numbers, the short-wave instability region becomes isolated and eventually disappears. For infinitely large Weber numbers, the long-wave instability disappears, while the short-wave instability persists. The linear stability analysis is complemented by a nonlinear direct numerical simulation. The perturbations evolve into coherent structures; for a relatively small external electric field, these are large-amplitude surface solitary pulses, while for a sufficiently strong electric field, these are short-wave inner coherent structures, which do not disturb the surface.