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This habilitation thesis collects works addressing several challenges on handling uncertainty and inconsistency in knowledge representation. In particular, this thesis contains works which introduce quantitative uncertainty based on probability theory into abstract argumentation frameworks. The formal semantics of this extension is investigated and its application for strategic argumentation in agent dialogues is discussed. Moreover, both the computational as well as the meaningfulness of approaches to analyze inconsistencies, both in classical logics as well as logics for uncertain reasoning is investigated. Finally, this thesis addresses the implementation challenges for various kinds of knowledge representation formalisms employing any notion of inconsistency tolerance or uncertainty.
La tesis doctoral examina los tres manuscritos conocidos hasta hoy de la Explicación de la Guitarra, primer método para guitarra de seis órdenes conocido hasta escrito por Juan Antonio de Vargas y Guzmán. Fue escrito primeramente cuando Vargas y Guzmán era vecino de la ciudad de Cádiz, en 1773; y copiado en dos ocasiones cuando el autor era maestro de este instrumento en la Ciudad de Veracruz, en 1776. Después de 200 años, específicamente en 1974, se dio la primera referencia de un manuscrito de este método, fechado en Veracruz en 1776, que se resguardaba en la Biblioteca Newberry de Chicago. Años más tarde, ya en 1980, la doctora María Fernanda García de los Arcos encontró en el Archivo General de la Nación (AGN) la segunda copia manuscrita, con la misma información de lugar y fecha que la anterior, pero que contenía una diferencia sustancial con el primero: 13 Sonatas para guitarra y bajo continuo. El tercero de ellos, fechado en Cádiz en 1773, fue adquirido por el investigador Ángel Medina Álvarez en una librería anticuaria a fines de los años 70; pero no fue sino hasta 1989, que decidió dar noticias de él y publicarlo posteriormente. A su vez, este manuscrito contiene una diferencia sustancial: un Tratado de Rasgueado. Además de esas diferencias sustanciales, la Explicación de la Guitarra, en su conjunto contiene, un Tratado de Punteado y un Tratado de Bajo continuo para guitarra.
El estudio establece la relación entre cada uno de los manuscritos; define sus contenidos y analiza los principios y fundamentos que sustentan las innovaciones de ellos sobre los ya conocidos por el autor; establece la relación entre los contenidos teóricos y prácticos; compara su evolución; los sitúa en un contexto histórico; establece su relación con otros métodos de la misma índole, así como con métodos de características similares; compila sus fuentes y determina la influencia que tuvieron éstas sobre la Explicación de la Guitarra y ésta sobre aquellas; y determina su importancia histórica y teórica en la música para este instrumento.
The work presented in this thesis investigated interactions of selected biophysical processes that affect zooplankton ecology at smaller scales. In this endeavour, the extent of changes in swimming behaviour and fluid disturbances produced by swimming Daphnia in response to changing physical environments were quantified. In the first research question addressed within this context, size and energetics of hydrodynamic trails produced by Daphnia swimming in non-stratified still waters were characterized and quantified as a function of organisms’ size and their swimming patterns.
The results revealed that neither size nor the swimming pattern of Daphnia affects the width of induced trails or dissipation rates. Nevertheless, as the size and swimming velocity of the organisms increased, trail volume increased in proportional to the cubic power of Reynolds number, and the biggest trail volume was about 500 times the body volume of the largest daphnids. Larger spatial extent of fluid perturbation and prolonged period to decay caused by bigger trail volumes would play a significant role in zooplankton ecology, e.g. increasing the risk of predation.
The study also found that increased trail volume brought about significantly enhanced total dissipated power at higher Reynolds number, and the magnitudes of total dissipated power observed varied in the range of (1.3-10)X10-9 W.
Furthermore, this study provided strong evidence that swimming speed of Daphnia and total dissipated power in Daphnia trails exceeded those of some other selected zooplankton species.
In recognizing turbulence as an intrinsic environmental perturbation in aquatic habitats, this thesis also examined the response of Daphnia to a range of turbulence flows, which correspond to turbu-lence levels that zooplankton generally encounter in their habitats. Results indicated that within the range of turbulent intensities to which the Daphnia are likely to be exposed in their natural habitats, increasing turbulence compelled the organisms to enhance their swimming activity and swim-ming speed. However, as the turbulence increased to extremely high values (10-4 m2s-3), Daphnia began to withdraw from their active swimming behaviour. Findings of this work also demonstrated that the threshold level of turbulence at which animals start to alleviate from largely active swimming is about 10-6 m2s-3. The study further illustrated that during the intermediate range of turbu-lence; 10-7 - 10-6 m2s-3, kinetic energy dissipation rates in the vicinity of the organisms is consistently one order of magnitude higher than that of the background turbulent flow.
Swarming, a common conspicuous behavioural trait observed in many zooplankton species, is considered to play a significant role in defining freshwater ecology of their habitats from food exploitation, mate encountering to avoiding predators through hydrodynamic flow structures produced by them, therefore, this thesis also investigated implications of Daphnia swarms at varied abundance & swarm densities on their swimming kinematics and induced flow field.
The results showed that Daphnia aggregated in swarms with swarm densities of (1.1-2.3)x103 L-1, which exceeded the abundance densities by two orders of magnitude (i.e. 1.7 - 6.7 L-1). The estimated swarm volume decreased from 52 cm3 to 6.5 cm3, and the mean neighbouring distance dropped from 9.9 to 6.4 body lengths. The findings of this work also showed that mean swimming trajectories were primarily horizontal concentric circles around the light source. Mean flow speeds found to be one order of magnitude lower than the corresponding swimming speeds of Daphnia. Furthermore, this study provided evidences that the flow fields produced by swarming Daphnia differed considerably between unidirectional vortex swarming and bidirectional swimming at low and high abundances respectively.
In der vorliegenden Untersuchung stehen geometrische Aufgaben und die in den seit 2004 national verbindlichen Bildungsstandards im Fach Mathematik für den Primarbereich formulierten Anforderungsbereiche im Zentrum. Diese zeigen die kognitiven Anforderungen an Schülerinnen und Schüler bei der Bearbeitung von Aufgaben auf, wobei zwischen „Reproduzieren", „Zusammenhänge herstellen" und „Verallgemeinern und Reflektieren" unterschieden wird (KMK, 2005a, S. 13).
Durch die drei Anforderungsbereiche sollen Lehrkräfte unter anderem die Chance zur Entwicklung einer anforderungsbezogenen Aufgabenkultur erhalten. Des Weiteren soll die Integration von Aufgaben aus allen drei Anforderungsbereichen im Unterricht angeregt und einem einseitig ausgerichteten Unterricht entgegen gewirkt werden.
Da die Anforderungsbereiche bislang nicht empirisch validiert wurden und in den Veröffentlichungen der Kultusministerkonferenz nicht klar zur Schwierigkeit von Aufgaben abgegrenzt werden (KMK, 2005a, S. 13; KMK, 2005b, S. 17; KMK, 2004b, S. 13), wurde in der vorliegenden Untersuchung zum einen die Möglichkeit der eindeutigen Zuordnung geometrischer Aufgaben zu den drei Anforderungsbereichen geprüft.
Zum anderen wurde untersucht, inwiefern die in den geometrischen Aufgaben enthaltenen kognitiven Anforderungen in Zusammenhang mit der empirischen Schwierigkeit von Aufgaben, der mathematischen Leistungsfähigkeit von Schülerinnen und Schülern, dem Geschlecht und den Anforderungen der im Unterricht gestellten Aufgaben stehen.
Vor dem Hintergrund der dem deutschen Mathematikunterricht nachgesagten Kalkül- beziehungsweise Fertigkeitsorientierung (Baumert et al., 2001, S. 296; Granzer & Walther, 2008, S. 9) und den damit einhergehenden Stärken deutscher Schülerinnen und Schüler im Bereich von Routineaufgaben und Schwächen im Bereich von Aufgaben mit höheren kognitiven Anforderungen (Grassmann et al., 2014, S. 11; Reiss & Hammer, 2013, S. 82; Schütte, 2008, S. 41) wurde zudem die Verteilung der im Rahmen der Untersuchung gewonnenen, schriftlich fixierten geometrischen Schulbuch- und Unterrichtsaufgaben auf die drei Anforderungsbereiche analysiert.
Durch die Betrachtung geometrischer Aufgaben konnte stichprobenartig der quantitative Geometrieanteil in den Schulbüchern und im Unterricht der vierten Jahrgangsstufe ermittelt werden, um so den Forschungsstand zum Stellenwert des Geometrieunterrichts (Maier, 1999; Backe-Neuwald, 2000; Roick, Gölitz & Hasselhorn, 2004) zu aktualisieren beziehungsweise zu ergänzen.
The present thesis deals with the realization of a stepper motor driver on an 8-bit microcontroller by the company Atmel. The focus is on the devel- opment of a current control, which allows microstepping in addition to the basic modes of operation like full- and halfstep. For this purpose, a PI con- troller is derived using physical and control engineering principles, which is implemented on the microcontroller. In this context, essential knowledge for the practical implementation will be discussed. In addition, the development of the hardware is documented, which is of great significance for the current measurement.
Leaf litter breakdown is a fundamental process in aquatic ecosystems, being mainly mediated by decomposer-detritivore systems that are composed of microbial decomposers and leaf-shredding, detritivorous invertebrates. The ecological integrity of these systems can, however, be disturbed, amongst others, by chemical stressors. Fungicides might pose a particular risk as they can have negative effects on the involved microbial decomposers but may also affect shredders via both waterborne toxicity and their diet; the latter by toxic effects due to dietary exposure as a result of fungicides’ accumulation on leaf material and by negatively affecting fungal leaf decomposers, on which shredders’ nutrition heavily relies. The primary aim of this thesis was therefore to provide an in-depth assessment of the ecotoxicological implications of fungicides in a model decomposer-detritivore system using a tiered experimental approach to investigate (1) waterborne toxicity in a model shredder, i.e., Gammarus fossarum, (2) structural and functional implications in leaf-associated microbial communities, and (3) the relative importance of waterborne and diet-related effects for the model shredder.
Additionally, knowledge gaps were tackled that were related to potential differences in the ecotoxicological impact of inorganic (also authorized for organic farming in large parts of the world) and organic fungicides, the mixture toxicity of these substances, the field-relevance of their effects, and the appropriateness of current environmental risk assessment (ERA).
In the course of this thesis, major differences in the effects of inorganic and organic fungicides on the model decomposer-detritivore system were uncovered; e.g., the palatability of leaves for G. fossarum was increased by inorganic fungicides but deteriorated by organic substances. Furthermore, non-additive action of fungicides was observed, rendering mixture effects of these substances hardly predictable. While the relative importance of the waterborne and diet-related effect pathway for the model shredder seems to depend on the fungicide group and the exposure concentration, it was demonstrated that neither path must be ignored due to additive action. Finally, it was shown that effects can be expected at field-relevant fungicide levels and that current ERA may provide insufficient protection for decomposer-detritivore systems. To safeguard aquatic ecosystem functioning, this thesis thus recommends including leaf-associated microbial communities and long-term feeding studies using detritus feeders in ERA testing schemes, and identifies several knowledge gaps whose filling seems mandatory to develop further reasonable refinements for fungicide ERA.