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FAMILIE LEDEBOER: TERUGKEER NAAR NEDERLAND (1926) ist einer der wenigen noch heute erhaltenen Familienfilme aus der niederländischen Kolonie Nederlands-Indië, dem heutigen Indonesien. Der Dokumentarfilmer Willy Mullens zeigt hier das Verhältnis der niederländischen Kolonialherren und ihren kolonisierten Anderen in einer sehr persönlichen, wenngleich auch nicht alltäglichen Form. Anlässlich der Rückkehr der Familie in die Niederlande werden ausgewählte Begegnungen zwischen der Familie Ledeboer und ihren Angestellten dargestellt, in denen der abstrakte, kolonial-ideologische Gegensatz zwischen dem "Selbst" und dem "Anderen" konkrete Form annimmt. Obgleich der Film den Daheimgebliebenen zeigen sollte, wie man in der Kolonie lebt und wie es einem in der Fremde ergeht, sollte zugleich durch Bilder von Ordnung und Stabilität und die Betonung der Loyalität der Angestellten und der guten Fürsorge über diese die Kolonialideologie einer weißen Überlegenheit gestützt werden. Dies gewinnt insbesondere vor dem Hintergrund zunehmender Konflikte und eines aufkeimenden Nationalismus in der Kolonie und einer damit einhergehenden Infragestellung der kolonialen Ordnung zu dieser Zeit an Bedeutung. Der Familienfilm diente so zur Konstruktion von Normalität und zur Bestätigung der eigenen Identität als Familie und als Europäer in der Fremde, zur Bestätigung von Status und Zugehörigkeit und zur Vergewisserung des eigenen Selbstbildes auf der individuellen wie auch kollektiven Ebene. Dennoch bleibt die Darstellung des Verhältnisses von Kolonialherren und Kolonisierten ambivalent. Obschon versucht wird, bei aller Fürsorglichkeit auch soziale Distanz und Überlegenheit zu transportieren, merkt man dem Umgang auch die Vertrautheit der tagtäglichen Nähe und Interaktion an.
The increase in recreational leisure during the last century and the increase in the individual mobility since the sixties have induced growing travel activities as well as a growing demand for recreation in a natural environment. Politically the demand for recreational leisure is regarded as a fundamental part of human life and is legally embedded as inherent goal of nature resorts besides nature conservation. Following new pedagogic principles man should get familiar with the environment in order protect nature in the long-run. Taking the bicycle concept of the nature resort Saar-Hunsrück with special emphasis on the St. Wendel country as an example the bicycle tourism which fulfils the principles of sustainability is analysed with regard to the acceptance by the tourists. Scenic and historical attractions of the area are deliberately taken into account in the design of the bicycle routes. By analysing the results of a survey it is the objective to work out applicable results for the design of routes and systems of orientation. Moreover it is the objective of a special survey on mountain bikers to answer the question on how this extreme type of biking could be incorporated in the supply of recreational activities of the nature resort and whether it can contribute to a growing environmental sensitivity.
In Luxemburg helfen externe Schulmediator*innen bei schulischen Konflikten. Die Anlaufstelle unterstützt bei drohenden Schulabbrüchen und Konflikten, die bei der Inklusion und Integration von Schüler*innen mit besonderem Förderbedarf oder mit Migrationshintergrund entstehen. Michèle Schilt sprach mit der Leiterin der Servicestelle, Lis De Pina, über die Arbeit der Schulmediation.
Given a compact set K in R^d, the theory of extension operators examines the question, under which conditions on K, the linear and continuous restriction operators r_n:E^n(R^d)→E^n(K),f↦(∂^α f|_K)_{|α|≤n}, n in N_0 and r:E(R^d)→E(K),f↦(∂^α f|_K)_{α in N_0^d}, have a linear and continuous right inverse. This inverse is called extension operator and this problem is known as Whitney's extension problem, named after Hassler Whitney. In this context, E^n(K) respectively E(K) denote spaces of Whitney jets of order n respectively of infinite order. With E^n(R^d) and E(R^d), we denote the spaces of n-times respectively infinitely often continuously partially differentiable functions on R^d. Whitney already solved the question for finite order completely. He showed that it is always possible to construct a linear and continuous right inverse E_n for r_n. This work is concerned with the question of how the existence of a linear and continuous right inverse of r, fulfilling certain continuity estimates, can be characterized by properties of K. On E(K), we introduce a full real scale of generalized Whitney seminorms (|·|_{s,K})_{s≥0}, where |·|_{s,K} coincides with the classical Whitney seminorms for s in N_0. We equip also E(R^d) with a family (|·|_{s,L})_{s≥0} of those seminorms, where L shall be a a compact set with K in L-°. This family of seminorms on E(R^d) suffices to characterize the continuity properties of an extension operator E, since we can without loss of generality assume that E(E(K)) in D^s(L).
In Chapter 2, we introduce basic concepts and summarize the classical results of Whitney and Stein.
In Chapter 3, we modify the classical construction of Whitney's operators E_n and show that |E_n(·)|_{s,L}≤C|·|_{s,K} for s in[n,n+1).
In Chapter 4, we generalize a result of Frerick, Jordá and Wengenroth and show that LMI(1) for K implies the existence of an extension operator E without loss of derivatives, i.e. we have it fulfils |E(·)|_{s,L}≤C|·|_{s,K} for all s≥0. We show that a large class of self similar sets, which includes the Cantor set and the Sierpinski triangle, admits an extensions operator without loss of derivatives.
In Chapter 5 we generalize a result of Frerick, Jordá and Wengenroth and show that WLMI(r) for r≥1 implies the existence of a tame linear extension operator E having a homogeneous loss of derivatives, such that |E(·)|_{s,L}≤C|·|_{(r+ε)s,K} for all s≥0 and all ε>0.
In the last chapter we characterize the existence of an extension operator having an arbitrary loss of derivatives by the existence of measures on K.
Variational inequality problems constitute a common basis to investigate the theory and algorithms for many problems in mathematical physics, in economy as well as in natural and technical sciences. They appear in a variety of mathematical applications like convex programming, game theory and economic equilibrium problems, but also in fluid mechanics, physics of solid bodies and others. Many variational inequalities arising from applications are ill-posed. This means, for example, that the solution is not unique, or that small deviations in the data can cause large deviations in the solution. In such a situation, standard solution methods converge very slowly or even fail. In this case, so-called regularization methods are the methods of choice. They have the advantage that an ill-posed original problem is replaced by a sequence of well-posed auxiliary problems, which have better properties (like, e.g., a unique solution and a better conditionality). Moreover, a suitable choice of the regularization term can lead to unconstrained auxiliary problems that are even equivalent to optimization problems. The development and improvement of such methods are a focus of current research, in which we take part with this thesis. We suggest and investigate a logarithmic-quadratic proximal auxiliary problem (LQPAP) method that combines the advantages of the well-known proximal-point algorithm and the so-called auxiliary problem principle. Its exploration and convergence analysis is one of the main results in this work. The LQPAP method continues the recent developments of regularization methods. It includes different techniques presented in literature to improve the numerical stability: The logarithmic-quadratic distance function constitutes an interior point effect which allows to treat the auxiliary problems as unconstrained ones. Furthermore, outer operator approximations are considered. This simplifies the numerical solution of variational inequalities with multi-valued operators since, for example, bundle-techniques can be applied. With respect to the numerical practicability, inexact solutions of the auxiliary problems are allowed using a summable-error criterion that is easy to implement. As a further advantage of the logarithmic-quadratic distance we verify that it is self-concordant (in the sense of Nesterov/Nemirovskii). This motivates to apply the Newton method for the solution of the auxiliary problems. In the numerical part of the thesis the LQPAP method is applied to linearly constrained, differentiable and nondifferentiable convex optimization problems, as well as to nonsymmetric variational inequalities with co-coercive operators. It can often be observed that the sequence of iterates reaches the boundary of the feasible set before being close to an optimal solution. Against this background, we present the strategy of under-relaxation, which robustifies the LQPAP method. Furthermore, we compare the results with an appropriate method based on Bregman distances (BrPAP method). For differentiable, convex optimization problems we describe the implementation of the Newton method to solve the auxiliary problems and carry out different numerical experiments. For example, an adaptive choice of the initial regularization parameter and a combination of an Armijo and a self-concordance step size are evaluated. Test examples for nonsymmetric variational inequalities are hardly available in literature. Therefore, we present a geometric and an analytic approach to generate test examples with known solution(s). To solve the auxiliary problems in the case of nondifferentiable, convex optimization problems we apply the well-known bundle technique. The implementation is described in detail and the involved functions and sequences of parameters are discussed. As far as possible, our analysis is substantiated by new theoretical results. Furthermore, it is explained in detail how the bundle auxiliary problems are solved with a primal-dual interior point method. Such investigations have by now only been published for Bregman distances. The LQPAP bundle method is again applied to several test examples from literature. Thus, this thesis builds a bridge between theoretical and numerical investigations of solution methods for variational inequalities.
Extension of inexact Kleinman-Newton methods to a general monotonicity preserving convergence theory
(2011)
The thesis at hand considers inexact Newton methods in combination with algebraic Riccati equation. A monotone convergence behaviour is proven, which enables a non-local convergence. Above relation is transferred to a general convergence theory for inexact Newton methods securing the monotonicity of the iterates for convex or concave mappings. Several application prove the pratical benefits of the new developed theory.
Extension of an Open GEOBIA Framework for Spatially Explicit Forest Stratification with Sentinel-2
(2022)
Spatially explicit information about forest cover is fundamental for operational forest management and forest monitoring. Although open-satellite-based earth observation data in a spatially high resolution (i.e., Sentinel-2, ≤10 m) can cover some information needs, spatially very high-resolution imagery (i.e., aerial imagery, ≤2 m) is needed to generate maps at a scale suitable for regional and local applications. In this study, we present the development, implementation, and evaluation of a Geographic Object-Based Image Analysis (GEOBIA) framework to stratify forests (needleleaved, broadleaved, non-forest) in Luxembourg. The framework is exclusively based on open data and free and open-source geospatial software. Although aerial imagery is used to derive image objects with a 0.05 ha minimum size, Sentinel-2 scenes of 2020 are the basis for random forest classifications in different single-date and multi-temporal feature setups. These setups are compared with each other and used to evaluate the framework against classifications based on features derived from aerial imagery. The highest overall accuracies (89.3%) have been achieved with classification on a Sentinel-2-based vegetation index time series (n = 8). Similar accuracies have been achieved with classification based on two (88.9%) or three (89.1%) Sentinel-2 scenes in the greening phase of broadleaved forests. A classification based on color infrared aerial imagery and derived texture measures only achieved an accuracy of 74.5%. The integration of the texture measures into the Sentinel-2-based classification did not improve its accuracy. Our results indicate that high resolution image objects can successfully be stratified based on lower spatial resolution Sentinel-2 single-date and multi-temporal features, and that those setups outperform classifications based on aerial imagery only. The conceptual framework of spatially high-resolution image objects enriched with features from lower resolution imagery facilitates the delivery of frequent and reliable updates due to higher spectral and temporal resolution. The framework additionally holds the potential to derive additional information layers (i.e., forest disturbance) as derivatives of the features attached to the image objects, thus providing up-to-date information on the state of observed forests.
With the start of the Coronavirus (COVID-19) pandemic, the global education system has a faced immense challenges and disruptions resulting in and the necessity for an immediate redesign of teaching and learning in the school context. Face-to-face classroom instruction had to be replaced by ‘emergency remote teaching’, requiring teacher to adapt their daily routines to a new and unprecedented educational reality. Researchers and policymakers worldwide have agreed that, despite the fact that efforts were made to immediately adapt to emergency remote teaching, disadvantaged and vulnerable students may be especially at risk in emergency remote teaching. Given the differences in schooling organization across countries during the COVID-19 pandemic it can be expected that teachers performed inclusive instructional practices significantly different. Against the unpredictable situation, cross-country research has been urgently required to provide data that could inform education policy. Thus, this study explored teachers’ perceptions of supporting at risk students during the first COVID-19 school closures, as well as examining teachers’ inclusive teaching practices in three countries: Germany, Austria and Portugal. ANOVA results revealed important country differences. In general, it appears that teachers in Germany and Austria reported to have implemented less practices to address vulnerable and at-risk students compared to Portuguese teachers. Implications of the results, as well as further lines of research are outlined.
This thesis contains four parts that are all connected by their contributions to the Efficient Market Hypothesis and decision-making literature. Chapter two investigates how national stock market indices reacted to the news of national lockdown restrictions in the period from January to May 2020. The results show that lockdown restrictions led to different reactions in a sample of OECD and BRICS countries: there was a general negative effect resulting from the increase in lockdown restrictions, but the study finds strong evidence for underreaction during the lockdown announcement, followed by some overreaction that is corrected subsequently. This under-/overreaction pattern, however, is observed mostly during the first half of our time series, pointing to learning effects. Relaxation of the lockdown restrictions, on the other hand, had a positive effect on markets only during the second half of our sample, while for the first half of the sample, the effect was negative. The third chapter investigates the gender differences in stock selection preferences on the Taiwan Stock Exchange. By utilizing trading data from the Taiwan Stock Exchange over a span of six years, it becomes possible to analyze trading behavior while minimizing the self-selection bias that is typically present in brokerage data. To study gender differences, this study uses firm-level data. The percentage of male traders in a company is the dependent variable, while the company’s industry and fundamental/technical aspects serve as independent variables. The results show that the percentage of women trading a company rises with a company’s age, market capitalization, a company’s systematic risk, and return. Men trade more frequently and show a preference for dividend-paying stocks and for industries with which they are more familiar. The fourth chapter investigated the relationship between regret and malicious and benign envy. The relationship is analyzed in two different studies. In experiment 1, subjects had to fill out psychological scales that measured regret, the two types of envy, core self-evaluation and the big 5 personality traits. In experiment 2, felt regret is measured in a hypothetical scenario, and the subject’s felt regret was regressed on the other variables mentioned above. The two experiments revealed that there is a positive direct relationship between regret and benign envy. The relationship between regret and malicious envy, on the other hand, is mostly an artifact of core self-evaluation and personality influencing both malicious envy and regret. The relationship can be explained by the common action tendency of self-improvement for regret and benign envy. Chapter five discusses the differences in green finance regulation and implementation between the EU and China. China introduced the Green Silk Road, while the EU adopted the Green Deal and started working with its own green taxonomy. The first difference comes from the definition of green finance, particularly with regard to coal-fired power plants. Especially the responsibility of nation-states’ emissions abroad. China is promoting fossil fuel projects abroad through its Belt and Road Initiative, but the EU’s Green Deal does not permit such actions. Furthermore, there are policies in both the EU and China that create contradictory incentives for economic actors. On the one hand, the EU and China are improving the framework conditions for green financing while, on the other hand, still allowing the promotion of conventional fuels. The role of central banks is also different between the EU and China. China’s central bank is actively working towards aligning the financial sector with green finance. A possible new role of the EU central bank or the priority financing of green sectors through political decision-making is still being debated.
Die Zielsetzung der vorliegenden Arbeit war die raumdifferenzierte und skalenübergreifende Untersuchung der Hochwasserentstehungsprozesse im Frankelbach-Einzugsgebiet, das ein Beispiel eines land- und forstwirtschaftlich genutzten Kleineinzugsgebiets in Mittelgebirgen der gemäßigten Breiten ist. Eine Kernaufgabe war die Quantifizierung der Beiträge einzelner Abflusskomponenten während des Scheiteldurchflusses eines Hochwassers. Zudem sollten Zusammenhänge zwischen der Bodenfeuchtedynamik und der Abflussreaktion herausgearbeitet werden. Zur Bodenfeuchtemessung wurde ein neu entwickeltes Spatial-TDR-Messsystem eingesetzt. Im Rahmen dieses pilothaften Einsatzes war zudem die Tauglichkeit des Messsystems zu überprüfen und zu bewerten. Das im Rotliegenden gelegene 5 km2 große Frankelbachgebiet mit Jahresniederschlägen von 750 mm a-1, steil eingeschnittenen, bewaldeten Kerbtälern und ackerwirtschaftlich genutzten Hochflächen liegt zwischen 200 und 450 m ü. NN. Auf schuttführenden Sand- und Schlufflehmen, deren Genese auf periglaziale Solifluktionsprozesse zurückgeht, sind hangabwärts mächtiger werdende Braunerden zu finden. Bemerkenswert sind die zahlreichen Quellen auf gleicher Höhenlage, die teilweise als Pipequellen ausgebildet sind. Beregnungs- und Infiltrationsversuche dienten der Beurteilung der Oberflächenabflussreaktion unterschiedlich bewirtschafteter Flächen. Durch stündliche Spatial-TDR-Messungen an 13 Standorten (60 cm lange vertikal installierte Dreistabsonden) konnten Hangwasserflüsse identifiziert werden. Zwischen 2005 und 2009 wurden die Abflüsse vier geschachtelter Einzugsgebiete sowie einer Quelle in 10min-Intervallen erfasst und 87 Hochwasserereignisse analysiert. Mittels Messungen der elektrischen Leitfähigkeit und eines Zweikomponenten-Mischungsmodells wurde der Ereigniswasseranteil für die höchsten Hochwasser abgeschätzt. Ergänzend zu den Geländeexperimenten wurde ein einfaches Modell konzipiert, das eine quantitative Abschätzung der ober- und unterirdischen Wasserflüsse in einen Gewässereinschnitt erlaubt. Zum Vergleich mit 31 anderen Untersuchungsgebieten wurde eine Codierung entwickelt, die eine Einordnung sowohl hinsichtlich der Geofaktoren der Gebiete als auch bezüglich der untersuchten Hochwasserereignisse ermöglicht. Das im hanghydrologischen Forschungsbereich als eher trocken einzuordnende Frankelbachgebiet, zeigte ein jahreszeitlich sehr unterschiedliches Abflussverhalten. Während in trockenen Sommern hohe Niederschläge im Gebiet gespeichert werden, liegen die Abflusskoeffizienten für einige schneeschmelzfreie Frühjahrsereignisse über 50 %. Das höchste beobachtete Hochwasser weist einen Abflusskoeffizient von 55 % bei einer relativ niedrigen Abflussspende von 140 l s-1 km-2 auf. Die Großberegnungsversuche, die Quellabflussmessungen, die Ereignisanalysen und die Modellierungsergebnisse weisen darauf hin, dass Dauerregen- und Schneeschmelz-Hochwasser zum Großteil aus Zwischenabfluss bestehen. Hier konnten zwei Abflusskomponenten differenziert werden: (i) eine oberflächen- und gerinnenahe Komponenten, die aufgrund des hohen Ereigniswasseranteils von etwa 60 % durch präferentielles Fließen erklärt werden kann, und (ii) eine ein bis zwei Tage verzögerte tiefere Komponente, die durch unterirdische Abflusskonzentration auf stauenden Schichten generiert wird. Letztere war in den Quellabfluss- und Spatial-TDR-Messungen erkennbar, hatte jedoch an den am Pegel beobachteten Scheiteldurchflüssen nur einen sehr kleinen Anteil. Während sehr intensiver Niederschläge könnte zusätzlich der Horton'sche Oberflächenabfluss von offen liegenden, hydraulisch angeschlossenen Äckern zum Scheiteldurchfluss beitragen. Für sämtliche Spatial-TDR-Messstandorte ist von hohen Infiltrations- und Sickerraten auszugehen. Eine Aufsättigung der Standorte war nicht erkennbar, für die nassen Wintermonate liegen jedoch nur sehr wenige Spatial-TDR-Messwerte vor. Eine in einer Tiefenlinie installierte Sonde (A08) zeigte das Umschalten des Gesamtgebiets in relativ nasse Zustände an. Hier nahm die Bodenfeuchte während zwei größerer Dauerregenereignisse infolge der unterirdischen Abflusskonzentration stark zu. In der vorliegenden Arbeit wurden die einbau- und substratbedingten Unsicherheiten sowie die Schwächen des Algorithmus zur Rekonstruktion der absoluten Bodenfeuchtewerte konkretisiert. Demzufolge wurde lediglich das Spatial-TDR-Rohsignal als Indikator für die aktuelle Bodenfeuchte verwendet. Durch eine Transformation des Spatial-TDR-Signals von der Zeit auf den Sondenort können dennoch Aussagen zur relativen Änderung der Bodenfeuchte in einer bestimmten Tiefe gemacht werden können. Diese Informationen sind hinreichend genau für die Untersuchung hanghydrologischer Prozesse und für die Ableitung von Gebietsfeuchtezuständen.