Von der Idee zum Mythos. Die Rezeption des Bauhaus in beiden Teilen Deutschlands in Zeiten des Neuanfangs (1945 und 1989)

Von der Idee zum Mythos. Die Rezeption des Bauhaus in beiden Teilen Deutschlands in Zeiten des Neuanfangs (1945 und 1989) Das Bauhaus wird 1919 durch Zusammenlegung der Großherzoglich Sächsischen Kunstgewerbeschule und der Hochschule für Bildende Kunst von Walter Gropius gegründet. Dabei geht es in seinem programmatischen Ansatz weit über seine institutionellen Vorgänger hinaus. Das Bauhaus-Konzept zielt nicht auf die Erschaffung einer zeitgemäßen Formsprache, sondern auf die Veränderung der gesellschaftlichen Wirklichkeit mit den Mitteln der Kunst. Diese Haltung ist eine Reaktion auf die Bewusstseinskrise, die durch den Ersten Weltkrieg ausgelöst worden war: Der zunehmenden Entfremdung von Kunst und Leben soll entgegengewirkt und dabei die versprengten Einzelkünste unter dem Primat der Architektur wieder zusammengeführt werden: Weil sich dieser sozial-moralische Impetus, der gemeinhin mit dem Schlagwort ‚Bauhaus-Idee’ umschrieben wird, äußerst vielschichtig darstellt, lässt er sich in die verschiedensten Kulturkonzepte einpassen. Die Arbeit legt die Bauhaus-Rezeption in Deutschland zu zwei verschiedenen Zeiten vergleichend dar. Im ersten Schritt wird die Ost- mit der Westrezeption verglichen. Dieser synchrone Vergleich wird zu zwei epochalen Umbruchsituationen durchgeführt; zum einen von 1945 bis Mitte der 50er Jahre, zum anderen von 1989 bis Mitte der 90er Jahre. Auf dieser Grundlage wird geprüft, wie sich die östliche als auch die westliche Wahrnehmung des Bauhaus von 1945-1955 gegenüber der Bauhausrezeption nach 1989 abhebt (diachroner Vergleich). Die Jahre 1945-1955 beschreiben die Entwicklung des Auseinanderbrechens der deutschen Nation in zwei autonome deutsche Staaten. Mit dem Jahr 1989 wird die Entwicklung umgekehrt: Deutschland wächst zu einer Kulturnation zusammen. Durch die Periodisierung (1945/1989) wird geklärt, wie das wiedervereinigte Deutschland auf kultureller Ebene mit der Vergangenheit des Kalten Krieges umgeht. Weil sich an der Bauhaus-Pädagogik am ehesten die reale Umsetzung der ‚Bauhaus-Idee’ ablesen lässt, analysiert meine Arbeit die pädagogischen Konzeptionen an deutschen Kunstschulen. Dabei wird in den Institutionsgeschichten der politisch-gesellschaftliche Rahmen stets mitgedacht, der Restituierungsversuche ermöglicht oder scheitern lässt. Im Zentrum meiner Arbeit steht nicht die Analyse der Sache ‚Bauhaus, sondern dessen Missdeutung und Umdeutung in politisch divergenten Zeiten. Für die Zeit 1945-1955 beschreibe ich auf westdeutscher Seite die Hochschule für Gestaltung in Ulm und die Werkakademie bzw. Werkkunstschule in Kassel. Im Osten konzentriert sich der Blick auf die historischen Bauhaus-Stätten: Weimar und Dessau. Nach der Wende vermischen sich die bis dahin getrennten Rezeptionsstränge von Ost und West. In der wiedervereinigten Bundesrepublik existieren neben dem Bauhaus-Archiv nunmehr zwei zusätzliche Institutionen: die Bauhaus-Universität in Weimar und die Stiftung Bauhaus Dessau. Wie wird in dieser historischen Situation das Bauhaus-Erbe aufgeteilt und verwaltet?

Modelling and simulation of a photovoltaic fuel cell hybrid system

A stand-alone power system is an autonomous system that supplies electricity to the user load without being connected to the electric grid. This kind of decentralized system is frequently located in remote and inaccessible areas. It is essential for about one third of the world population which are living in developed or isolated regions and have no access to an electricity utility grid. The most people live in remote and rural areas, with low population density, lacking even the basic infrastructure. The utility grid extension to these locations is not a cost effective option and sometimes technically not feasible. The purpose of this thesis is the modelling and simulation of a stand-alone hybrid power system, referred to as “hydrogen Photovoltaic-Fuel Cell (PVFC) hybrid system”. It couples a photovoltaic generator (PV), an alkaline water electrolyser, a storage gas tank, a proton exchange membrane fuel cell (PEMFC), and power conditioning units (PCU) to give different system topologies. The system is intended to be an environmentally friendly solution since it tries maximising the use of a renewable energy source. Electricity is produced by a PV generator to meet the requirements of a user load. Whenever there is enough solar radiation, the user load can be powered totally by the PV electricity. During periods of low solar radiation, auxiliary electricity is required. An alkaline high pressure water electrolyser is powered by the excess energy from the PV generator to produce hydrogen and oxygen at a pressure of maximum 30bar. Gases are stored without compression for short- (hourly or daily) and long- (seasonal) term. A proton exchange membrane (PEM) fuel cell is used to keep the system’s reliability at the same level as for the conventional system while decreasing the environmental impact of the whole system. The PEM fuel cell consumes gases which are produced by an electrolyser to meet the user load demand when the PV generator energy is deficient, so that it works as an auxiliary generator. Power conditioning units are appropriate for the conversion and dispatch the energy between the components of the system. No batteries are used in this system since they represent the weakest when used in PV systems due to their need for sophisticated control and their short lifetime. The model library, ISET Alternative Power Library (ISET-APL), is designed by the Institute of Solar Energy supply Technology (ISET) and used for the simulation of the hybrid system. The physical, analytical and/or empirical equations of each component are programmed and implemented separately in this library for the simulation software program Simplorer by C++ language. The model parameters are derived from manufacturer’s performance data sheets or measurements obtained from literature. The identification and validation of the major hydrogen PVFC hybrid system component models are evaluated according to the measured data of the components, from the manufacturer’s data sheet or from actual system operation. Then, the overall system is simulated, at intervals of one hour each, by using solar radiation as the primary energy input and hydrogen as energy storage for one year operation. A comparison between different topologies, such as DC or AC coupled systems, is carried out on the basis of energy point of view at two locations with different geographical latitudes, in Kassel/Germany (Europe) and in Cairo/Egypt (North Africa). The main conclusion in this work is that the simulation method of the system study under different conditions could successfully be used to give good visualization and comparison between those topologies for the overall performance of the system. The operational performance of the system is not only depending on component efficiency but also on system design and consumption behaviour. The worst case of this system is the low efficiency of the storage subsystem made of the electrolyser, the gas storage tank, and the fuel cell as it is around 25-34% at Cairo and 29-37% at Kassel. Therefore, the research for this system should be concentrated in the subsystem components development especially the fuel cell.

Zerrissen - zernagt - zerfallen

Das schriftliche Kulturgut zu bewahren ist eine der wichtigsten Aufgaben der Bibliotheken. Aus den jährlich zugewiesenen Mitteln können sie diese Aufgabe aber nicht allein finanzieren. Deshalb versuchen die Bibliotheken über verschiedene Maßnahmen, die Öffentlichkeit über diese Situation zu informieren. Die Sparkassen-Kulturstiftung Hessen-Thüringen hatte sich dieses Themas 2004 angenommen und unter dem Thema "Zerrissen, zernagt, zerfallen" Bestandsschäden in hessischen Bibliotheken in einer zentralen Ausstellung vorgestellt. Nun will die Universitätsbibliothek Kassel in einer eigenen Ausstellung auf die lokalen Probleme von Restaurierung und Konservierung ihrer Altbestände aus der Landesbibliothek und Murhardsche Bibliothek der Stadt Kassel in den Räumen der Kasseler Sparkasse in der Wolfsschlucht hinweisen. Nach einer Erhebung von 2004 sind 42 % des Buchbestandes der hessischen Bibliotheken durch saures Papier oder Verschleiß geschädigt. Die Landesbibliothek Kassel hat als Archivbibliothek für Nordhessen eine Erhaltungspflicht für die in Nordhessen gedruckten Bücher. Bei einem Bestand von gut 450.000 Büchern ist die Anzahl der restaurierungsbedürftigen Bücher ein Massenproblem, das die Bibliothek finanziell völlig überfordert. Während sich für die attraktiven Stücke der Handschriftensammlung relativ leicht ein Sponsor für Restaurierungsarbeiten findet, ist das eigentliche Problem der Bibliothek aber die Erhaltung des normalen Bestandes, nämlich der Massen an Archivexemplaren, die oft äußerlich recht unattraktiv, aber für die Forschung zur hessischen Geschichte und Landeskunde unverzichtbar sind. Das besonders Schlimme an den Säureschäden in den Büchers ist, das sich im Laufe des Zersetzungsprozesses von selbst immer mehr Säure bildet, so daß sich der Zerfallsprozeß immer mehr beschleunigt.

Bieberbach's Conjecture, the de Branges and Weinstein Functions and the Askey-Gasper Inequality

The Bieberbach conjecture about the coefficients of univalent functions of the unit disk was formulated by Ludwig Bieberbach in 1916 [Bieberbach1916]. The conjecture states that the coefficients of univalent functions are majorized by those of the Koebe function which maps the unit disk onto a radially slit plane. The Bieberbach conjecture was quite a difficult problem, and it was surprisingly proved by Louis de Branges in 1984 [deBranges1985] when some experts were rather trying to disprove it. It turned out that an inequality of Askey and Gasper [AskeyGasper1976] about certain hypergeometric functions played a crucial role in de Branges' proof. In this article I describe the historical development of the conjecture and the main ideas that led to the proof. The proof of Lenard Weinstein (1991) [Weinstein1991] follows, and it is shown how the two proofs are interrelated. Both proofs depend on polynomial systems that are directly related with the Koebe function. At this point algorithms of computer algebra come into the play, and computer demonstrations are given that show how important parts of the proofs can be automated.

Degrees of Free Word-Order and Freely Rewriting Restarting Automata

In natural languages with a high degree of word-order freedom syntactic phenomena like dependencies (subordinations) or valencies do not depend on the word-order (or on the individual positions of the individual words). This means that some permutations of sentences of these languages are in some (important) sense syntactically equivalent. Here we study this phenomenon in a formal way. Various types of j-monotonicity for restarting automata can serve as parameters for the degree of word-order freedom and for the complexity of word-order in sentences (languages). Here we combine two types of parameters on computations of restarting automata: 1. the degree of j-monotonicity, and 2. the number of rewrites per cycle. We study these notions formally in order to obtain an adequate tool for modelling and comparing formal descriptions of (natural) languages with different degrees of word-order freedom and word-order complexity.

Negative Größen bei Diophant?

In this paper we champion Diophantus of Alexandria and Isabella Basmakova against Norbert Schappacher. In two publications ([46] and [47]) he puts forward inter alia two propositions: Questioning Diophantus' originality he considers affirmatively the possibility, that the Arithmetica are the joint work of a team of authors like Bourbaki. And he calls Basmakova's claim (in [5]), that Diophantus uses negative numbers, a "nonsense", reproaching her for her "thoughtlessness". First, we disprove Schappacher's Bourbaki thesis. Second, we investigate the semantic meaning and historical significance of Diophantus' keywords leipsis and mparxis. Next, we discuss Schappacher's epistemology of the history of mathematics and defend Basmakova's methods. Furthermore, we give 33 places where Diophantus uses negative quantities as intermediate results; they appear as differences a - b of positive rational numbers, the subtrahend b being bigger than the minuend a; they each represent the (negative) basis (pleyra) of a square number (tetragonos), which is afterwards computed by the formula (a - b)^2 = a^2 + b^2 - 2ab. Finally, we report how the topic "Diophantus and the negative numbers" has been dealt with by translators and commentators from Maximus Planudes onwards.

A generic polynomial solution for the differential equation of hypergeometric type and six sequences of orthogonal polynomials related to it

In this work, we present a generic formula for the polynomial solution families of the well-known differential equation of hypergeometric type s(x)y"n(x) + t(x)y'n(x) - lnyn(x) = 0 and show that all the three classical orthogonal polynomial families as well as three finite orthogonal polynomial families, extracted from this equation, can be identified as special cases of this derived polynomial sequence. Some general properties of this sequence are also given.

Restarting automata with restricted utilization of auxiliary symbols

The restarting automaton is a restricted model of computation that was introduced by Jancar et al. to model the so-called analysis by reduction, which is a technique used in linguistics to analyze sentences of natural languages. The most general models of restarting automata make use of auxiliary symbols in their rewrite operations, although this ability does not directly correspond to any aspect of the analysis by reduction. Here we put restrictions on the way in which restarting automata use auxiliary symbols, and we investigate the influence of these restrictions on their expressive power. In fact, we consider two types of restrictions. First, we consider the number of auxiliary symbols in the tape alphabet of a restarting automaton as a measure of its descriptional complexity. Secondly, we consider the number of occurrences of auxiliary symbols on the tape as a dynamic complexity measure. We establish some lower and upper bounds with respect to these complexity measures concerning the ability of restarting automata to recognize the (deterministic) context-free languages and some of their subclasses.

Anisotropic adaptive resolution of boundary layers for heat conduction problems

We deal with the numerical solution of heat conduction problems featuring steep gradients. In order to solve the associated partial differential equation a finite volume technique is used and unstructured grids are employed. A discrete maximum principle for triangulations of a Delaunay type is developed. To capture thin boundary layers incorporating steep gradients an anisotropic mesh adaptation technique is implemented. Computational tests are performed for an academic problem where the exact solution is known as well as for a real world problem of a computer simulation of the thermoregulation of premature infants.

Shrinking restarting automata

Restarting automata are a restricted model of computation that was introduced by Jancar et.al. to model the so-called analysis by reduction. A computation of a restarting automaton consists of a sequence of cycles such that in each cycle the automaton performs exactly one rewrite step, which replaces a small part of the tape content by another, even shorter word. Thus, each language accepted by a restarting automaton belongs to the complexity class $CSL cap NP$. Here we consider a natural generalization of this model, called shrinking restarting automaton, where we do no longer insist on the requirement that each rewrite step decreases the length of the tape content. Instead we require that there exists a weight function such that each rewrite step decreases the weight of the tape content with respect to that function. The language accepted by such an automaton still belongs to the complexity class $CSL cap NP$. While it is still unknown whether the two most general types of one-way restarting automata, the RWW-automaton and the RRWW-automaton, differ in their expressive power, we will see that the classes of languages accepted by the shrinking RWW-automaton and the shrinking RRWW-automaton coincide. As a consequence of our proof, it turns out that there exists a reduction by morphisms from the language class $cL(RRWW)$ to the class $cL(RWW)$. Further, we will see that the shrinking restarting automaton is a rather robust model of computation. Finally, we will relate shrinking RRWW-automata to finite-change automata. This will lead to some new insights into the relationships between the classes of languages characterized by (shrinking) restarting automata and some well-known time and space complexity classes.

Modellierung und numerische Simulation der Thermoregulation von Früh- und Neugeborenen

Bei frühgeborenen Säuglingen spielt die Thermoregulation zur Aufrechterhaltung einer überlebenswichtigen Körpertemperatur durch Wärmeproduktion, -abgabe bzw. -aufnahme eine entscheidende Rolle. Der Einsatz moderner Inkubatoren soll die körpereigenen Thermoregulatoren unterstützen, und es ist im Hinblick auf verschiedene medizinische Fragestellungen wünschenswert, diesen Prozess modellieren zu können. Wir stellen ein einfaches Modell auf der Basis von partiellen Differentialgleichungen vor und beschreiben detailliert die numerische Simulation mit Hilfe einer Finite-Volumen-Methode. Dazu wird ein zweidimensionales Modell eines Frühgeborenen trianguliert und das Modell diskretisiert. Zahlreiche numerische Resultate zeigen die Qualität unseres Modells.

Learning analysis by reduction from positive data

Analysis by reduction is a linguistically motivated method for checking correctness of a sentence. It can be modelled by restarting automata. In this paper we propose a method for learning restarting automata which are strictly locally testable (SLT-R-automata). The method is based on the concept of identification in the limit from positive examples only. Also we characterize the class of languages accepted by SLT-R-automata with respect to the Chomsky hierarchy.

Artificial boundary conditions for the Stokes and Navier-Stokes equations in domains that are layer-like at infinity

Artificial boundary conditions are presented to approximate solutions to Stokes- and Navier-Stokes problems in domains that are layer-like at infinity. Based on results about existence and asymptotics of the solutions v^infinity, p^infinity to the problems in the unbounded domain Omega the error v^infinity - v^R, p^infinity - p^R is estimated in H^1(Omega_R) and L^2(Omega_R), respectively. Here v^R, p^R are the approximating solutions on the truncated domain Omega_R, the parameter R controls the exhausting of Omega. The artificial boundary conditions involve the Steklov-Poincare operator on a circle together with its inverse and thus turn out to be a combination of local and nonlocal boundary operators. Depending on the asymptotic decay of the data of the problems, in the linear case the error vanishes of order O(R^{-N}), where N can be arbitrarily large.