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Further applications of the Cauchon algorithm to rank determination and bidiagonal factorization
(2018)
For a class of matrices connected with Cauchon diagrams, Cauchon matrices, and the Cauchon algorithm, a method for determining the rank, and for checking a set of consecutive row (or column) vectors for linear independence is presented. Cauchon diagrams are also linked to the elementary bidiagonal factorization of a matrix and to certain types of rank conditions associated with submatrices called descending rank conditions.
We consider classes of n-by-n sign regular matrices, i.e., of matrices with the property that all their minors of fixed order k have one specified sign or are allowed also to vanish, k = 1, ... ,n. If the sign is nonpositive for all k, such a matrix is called totally nonpositive. The application of the Cauchon algorithm to nonsingular totally nonpositive matrices is investigated and a new determinantal test for these matrices is derived. Also matrix intervals with respect to the checkerboard partial ordering are considered. This order is obtained from the usual entry-wise ordering on the set of the n-by-n matrices by reversing the inequality sign for each entry in a checkerboard fashion. For some classes of sign regular matrices it is shown that if the two bound matrices of such a matrix interval are both in the same class then all matrices lying between these two bound matrices are in the same class, too.
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.
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 minors are determined from which the maximum allowable entry perturbation of a totally nonnegative matrix can be found, such that the perturbed matrix remains totally nonnegative. Also, the total nonnegativity of the first and second subdirect sum of two totally nonnegative matrices is considered.
In 1970, B.A. Asner, Jr., proved that for a real quasi-stable polynomial, i.e., a polynomial whose zeros lie in the closed left half-plane of the complex plane, its finite Hurwitz matrix is totally nonnegative, i.e., all its minors are nonnegative, and that the converse statement is not true. In this work, we explain this phenomenon in detail, and provide necessary and sufficient conditions for a real polynomial to have a totally nonnegative finite Hurwitz matrix.
Ein Holzhaus als Botschaft. Die erste diplomatische Vertretung des Deutschen Reiches in Ankara 1924
(2015)
Auf die Gründung der türkischen Republik und die Verlagerung der Hauptstadt nach Ankara reagierte das Deutsche Reich 1924 zeitnah mit der Errichtung eines Botschaftsgebäudes in Fertigteilbauweise. Dieses präfabrizierte Holzhaus wurde von der für den Holzbau der Moderne bedeutenden Firma Christoph & Unmack AG aus Niesky/Oberlausitz geliefert. Nach Errichtung eines größeren, massiven Botschaftsgebäudes in Ankara wurde das Holzhaus 1934 auf das Gelände des Atatürk Orman Çiftliği transloziert, wo es noch heute existiert. 2010 konnte es einer gründlichen Baudokumentation unterzogen werden. Im Rahmen von drei Einzelbeiträgen werden die Ergebnisse der Untersuchungen an diesem ebenso ungewöhnlichen wie bedeutenden Baudenkmal vorgestellt.
Beidhändig gestalten
(2018)
Alles digital – was nun?
(2018)
Beidhändig zum Erfolg
(2018)
A constructive method for the design of nonlinear observers is discussed. To formulate conditions for the construction of the observer gains, stability results for nonlinear singularly perturbed systems are utilised. The nonlinear observer is designed directly in the given coordinates, where the error dynamics between the plant and the observer becomes singularly perturbed by a high-gain part of the observer injection, and the information of the slow manifold is exploited to construct the observer gains of the reduced-order dynamics. This is in contrast to typical high-gain observer approaches, where the observer gains are chosen such that the nonlinearities are dominated by a linear system. It will be demonstrated that the considered approach is particularly suited for self-sensing electromechanical systems. Two variants of the proposed observer design are illustrated for a nonlinear electromagnetic actuator, where the mechanical quantities, i.e. the position and the velocity, are not measured
A constructive nonlinear observer design for self-sensing of digital (ON/OFF) single coil electromagnetic actuators is studied. Self-sensing in this context means that solely the available energizing signals, i.e., coil current and driving voltage are used to estimate the position and velocity trajectories of the moving plunger. A nonlinear sliding mode observer is considered, where the stability of the reduced error dynamics is analyzed by the equivalent control method. No simplifications are made regarding magnetic saturation and eddy currents in the underlying dynamical model. The observer gains are constructed by taking into account some generic properties of the systems nonlinearities. Two possible choices of the observer gains are discussed. Furthermore, an observer-based tracking control scheme to achieve sensorless soft landing is considered and its closed-loop stability is studied. Experimental results for observer-based soft landing of a fast-switching solenoid valve under dry conditions are presented to demonstrate the usefulness of the approach.
Sensorlose Positionsregelung eines hydraulischen Proportional-Wegeventils mittels Signalinjektion
(2017)
Es wird eine Methode zur sensorlosen Positionsbestimmung bei elektromagnetisch betätigten Aktoren vorgestellt. Dabei werden basierend auf einer Signalinjektion die positionsabhängigen Parameter bei der injizierten Frequenz bestimmt und daraus über ein geeignetes Modell die Position des Magnetankers ermittelt. Die Eignung des Verfahrens zur sensorlosen Positionsregelung wird an einem bidirektionalen Proportionalventil anhand praktischer Versuche demonstriert.
Sleep is an important aspect in life of every human being. The average sleep duration for an adult is approximately 7 h per day. Sleep is necessary to regenerate physical and psychological state of a human. A bad sleep quality has a major impact on the health status and can lead to different diseases. In this paper an approach will be presented, which uses a long-term monitoring of vital data gathered by a body sensor during the day and the night supported by mobile application connected to an analyzing system, to estimate sleep quality of its user as well as give recommendations to improve it in real-time. Actimetry and historical data will be used to improve the individual recommendations, based on common techniques used in the area of machine learning and big data analysis.
Wettbewerb und Wagnis
(2015)
Karl Bernhard
(2015)
Schicksal der Freybrücke
(2016)
Karl Bernhard gilt als einer der bedeutendsten Bauingenieure in Deutschland Anfang des 20. Jahrhunderts. Seine beiden Brücken entlang der Heerstraße in Berlin, die Stößenseebrücke und die Freybrücke über die Havel, sind seit 1909 verkehrstechnisch von höchster Bedeutung für die Ost-West-Verbindung der Stadt. Die Freybrücke wurde jedoch im März 2015 abgerissen, um einem Ersatzneubau Platz zu machen. Wie kam es dazu, dass eine historisch und verkehrstechnisch derart wichtige, seit 1971 unter Denkmalschutz stehende Konstruktion so lange vernachlässigt wurde, bis sie abbruchreif war? Dieser Artikel ist eine Hommage an Bernhards Havelbrücke und geht ihrer wechselvollen Geschichte nach.
Ulrich Finsterwalder
(2017)
Die Bauingenieure sind sich ihrer gesellschaftlichen Verantwortung bewusst, finden es jedoch unbefriedigend, dass ihr Anteil an der Baukultur weder ausreichend bekannt ist, noch gebührend gewürdigt wird. Der Beitrag gibt einen kurzen Überblick über diese Thematik und versucht die eigenen Defizite der Ingenieure aufzuspüren, die die Lösung des Problems erschweren. Am Beispiel von Ulrich Fintterwalder wird gezeigt, welche Haltung einer der großen Baumeister des zwanzigsten Jahrhunderts zum verantwortlichen und nachhaltigen Bauen, zur Ästhetik und Gestaltung und zur kreativen Zusammenarbeit mit Architekten eingenommen hatte.
Im Beitrag wird erörtert, welche Rolle der schriftlichen Fehlerkorrektur im studienbegleitenden und -vorbereitenden Deutschunterricht zukommt. Dazu wird ein Überblick über den Stand der Forschung gegeben und eine Studie zur Fehlerkorrektur mit fortgeschrittenen Lernenden vorgestellt, in der die Wirkung einer Fehlerkorrektur am Lernertext überprüft wurde. Die Fehlerkorrektur führte bei der Experimentalgruppe zwar zu einer Reduktion der Fehler in der Überarbeitung, im Vergleich zur Kontrollgruppe aber nicht zu einer signifikanten Verbesserung in einem neuen Text. Um zu eruieren, wie die Lernenden mit der Fehlerkorrektur umgingen, wurde in der Studie außerdem eine qualitative Analyse einzelner Arbeiten vorgenommen. Der Beitrag schließt mit der Frage, welche Rolle eine – nicht sonderlich effektive – Fehlerkorrektur in einer auf Wissenschaftssprache bezogenen Vermittlung einnehmen sollte.
Know when you don't know
(2018)
Deep convolutional neural networks show outstanding performance in image-based phenotype classification given that all existing phenotypes are presented during the training of the network. However, in real-world high-content screening (HCS) experiments, it is often impossible to know all phenotypes in advance. Moreover, novel phenotype discovery itself can be an HCS outcome of interest. This aspect of HCS is not yet covered by classical deep learning approaches. When presenting an image with a novel phenotype to a trained network, it fails to indicate a novelty discovery but assigns the image to a wrong phenotype. To tackle this problem and address the need for novelty detection, we use a recently developed Bayesian approach for deep neural networks called Monte Carlo (MC) dropout to define different uncertainty measures for each phenotype prediction. With real HCS data, we show that these uncertainty measures allow us to identify novel or unclear phenotypes. In addition, we also found that the MC dropout method results in a significant improvement of classification accuracy. The proposed procedure used in our HCS case study can be easily transferred to any existing network architecture and will be beneficial in terms of accuracy and novelty detection.
Sexistischer Werbung, die gegen die Menschenwürde verstößt, kann über die Auffangnorm des § 3 Abs. 1 UWG bekämpft werden. Dennoch zeigt sich die Rechtsprechung zurückhaltend und stattdessen übernimmt der Deutsche Werberat die Deutungshoheit. Die höchstrichterliche Rechtsprechung konnte sich insoweit bislang nicht fortbilden. Gerade in Zeiten des Wertewandels ist eine aktualisierte höchstrichterliche Rechtsprechung aber nicht zuletzt auch für den Rechtsfrieden unerlässlich.
Angesichts der aktuellen höchstrichterlichen Rechtsprechung ist der betagte oder sonst hinfällige, auf Geldentschädigung klagende Verletzte gezwungen, in Rechtsmittelüberlegungen sein nahendes Ableben als erhebliches Prozessrisiko mit einzubeziehen. Das führt zu einer beträchtlichen Schmälerung der ideellen Bestandteile seines Persönlichkeitsrechts. Es ist daher dringend geboten, im Wege der richterlichen Rechtsfortbildung Kriterien für Ausnahmefallgruppen aufzustellen, um untragbare Härtefälle künftig verlässlich auszuschließen.
Die Massai greifen seit einiger Zeit international agierende Modehäuser an. Unstatthafte kulturelle Aneignung, so lautet der Vorwurf. Die Volksgruppe will die Unternehmen nun mit ihren eigenen Waffen schlagen. Sie plant, ihre kulturellen Zeichen zu kommodifizieren. Wer das vorhat, ist mit dem Eintritt ins internationale Marktgeschehen zwangsläufig denselben Regeln unterworfen wie alle anderen Marktteilnehmer auch. Das heißt: Ohne solide Ausschließlichkeitsrechte werden die Massai von möglichen Verhandlungspartnern als potentielle Lizenzgeber erwartungsgemäß nicht ernst genommen werden. Auch läuft die afrikanische Volkgsruppe Gefahr, dass die kulturell-historische Bedeutung ihrer Zeichen im Wege eines kommerziellen Einsatzes überschrieben oder im schlimmsten Fall sogar umgedeutet wird.
This work proposes a lossless data compression algorithm for short data blocks. The proposed compression scheme combines a modified move-to-front algorithm with Huffman coding. This algorithm is applicable in storage systems where the data compression is performed on block level with short block sizes, in particular, in non-volatile memories. For block sizes in the range of 1(Formula presented.)kB, it provides a compression gain comparable to the Lempel–Ziv–Welch algorithm. Moreover, encoder and decoder architectures are proposed that have low memory requirements and provide fast data encoding and decoding.
The introduction of multiple-level cell (MLC) and triple-level cell (TLC) technologies reduced the reliability of flash memories significantly compared with single-level cell flash. With MLC and TLC flash cells, the error probability varies for the different states. Hence, asymmetric models are required to characterize the flash channel, e.g., the binary asymmetric channel (BAC). This contribution presents a combined channel and source coding approach improving the reliability of MLC and TLC flash memories. With flash memories data compression has to be performed on block level considering short-data blocks. We present a coding scheme suitable for blocks of 1 kB of data. The objective of the data compression algorithm is to reduce the amount of user data such that the redundancy of the error correction coding can be increased in order to improve the reliability of the data storage system. Moreover, data compression can be utilized to exploit the asymmetry of the channel to reduce the error probability. With redundant data, the proposed combined coding scheme results in a significant improvement of the program/erase cycling endurance and the data retention time of flash memories.
This letter proposes two contributions to improve the performance of transmission with generalized multistream spatial modulation (SM). In particular, a modified suboptimal detection algorithm based on the Gaussian approximation method is proposed. The proposed modifications reduce the complexity of the Gaussian approximation method and improve the performance for high signal-to-noise ratios. Furthermore, this letter introduces signal constellations based on Hurwitz integers, i.e., a 4-D lattice. Simulation results demonstrate that these signal constellations are beneficial for generalized SM with two active antennas.
Codes over quotient rings of Lipschitz integers have recently attracted some attention. This work investigates the performance of Lipschitz integer constellations for transmission over the AWGN channel by means of the constellation figure of merit. A construction of sets of Lipschitz integers that leads to a better constellation figure of merit compared to ordinary Lipschitz integer constellations is presented. In particular, it is demonstrated that the concept of set partitioning can be applied to quotient rings of Lipschitz integers where the number of elements is not a prime number. It is shown that it is always possible to partition such quotient rings into additive subgroups in a manner that the minimum Euclidean distance of each subgroup is strictly larger than in the original set. The resulting signal constellations have a better performance for transmission over an additive white Gaussian noise channel compared to Gaussian integer constellations and to ordinary Lipschitz integer constellations. In addition, we present multilevel code constructions for the new signal constellations.
This letter introduces signal constellations based on multiplicative groups of Eisenstein integers, i.e., hexagonal lattices. These sets of Eisenstein integers are proposed as signal constellations for generalized spatial modulation. The algebraic properties of the new constellations are investigated and a set partitioning technique is developed. This technique can be used to design coded modulation schemes over hexagonal lattices.
Zitate sind kein Selbstzweck
(2015)
Rhetorik-Wörterbuch
(2015)
Schreiben und Rhetorik an einer Hochschule für angewandte Wissenschaften - ein Erfahrungsbericht
(2018)
Zur Rhetorik der Technik
(2017)
