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- 2006 (173) (remove)
In many applications such as parameter identification of oscillating systems in civil enginee-ring, speech processing, image processing and others we are interested in the frequency con-tent of a signal locally in time. As a start wavelet analysis provides a time-scale decomposition of signals, but this wavelet transform can be connected with an appropriate time-frequency decomposition. For instance in Matlab are defined pseudo-frequencies of wavelet scales as frequency centers of the corresponding bands. This frequency bands overlap more or less which depends on the choice of the biorthogonal wavelet system. Such a definition of frequency center is possible and useful, because different frequencies predominate at different dyadic scales of a wavelet decomposition or rather at different nodes of a wavelet packet decomposition tree. The goal of this work is to offer better algorithms for characterising frequency band behaviour and for calculating frequency centers of orthogonal and biorthogonal wavelet systems. This will be done with some product formulas in frequency domain. Now the connecting procedu-res are more analytical based, better connected with wavelet theory and more assessable. This procedures doesn’t need any time approximation of the wavelet and scaling functions. The method only works in the case of biorthogonal wavelet systems, where scaling functions and wavelets are defined over discrete filters. But this is the practically essential case, because it is connected with fast algorithms (FWT, Mallat Algorithm). At the end corresponding to the wavelet transform some closed formulas of pure oscillations are given. They can generally used to compare the application of different wavelets in the FWT regarding it’s frequency behaviour.
At the 16th IKM Bock, Falcão and Gürlebeck presented examples of the application of some specially developed Maple-Software in hypercomplex analysis. Other papers of those authors continued this work and showed the efficiency of such tools for concrete numerical calculations as well as for numerical experiments, supporting the detection of new relationships and even theorems in a highly technical theoretical work. The mentioned software has been developed mainly for the use on mapping problems in the Euclidean spaces of dimension 3 and 4 by means of Bergman kernel methods (BKM), which are related to monogenic functions as solutions of generalized Cauchy-Riemann equations with respect to the Euclidean metric (Riesz system). The developed procedures concerning generalized powers of totally regular variables and the corresponding homogeneous polynomials basically rely on results and conventions introduced in the paper "Power series representation for monogenic functions in Rm+1 based on a permutational product", Complex Variables, 15, No.3, 181-191 (1990) by H. Malonek. Since 1992 H. Leutwiler, S. L. Eriksson and others developed in a number of papers a modified Clifford analysis and, particularly, a modified quaternionic analysis. The modification mainly consists in considering generalized Cauchy-Riemann equations with respect to a hyperbolic metric in a half space. The aim of this contribution is to show how through a change of the basic combinatorial relations used in the modified quaternionic analysis the aforementioned Maple-software (that has been recently published on CD-Rom as integrated part of the text book "Funktionentheorie in der Ebene und im Raum" by K. Gürlebeck, K. Habetha, and W. Sprössig, in the series "Grundstudium Mathematik" of Birkhäuser Verlag, 2006) can directly be used for numerical calculations in the modified theory.
In the history of 'villages' in Shenzhen, rich traditional cultural resources that are directly related to the folk life in urban corporate community still exist today, synchronously agricultural economy of urban corporate community is transformed into joint-stock economy, and natural villages are transformed into 'heterogeneous' space of city. The most significant fact in the modern social transition is that modern societies have surpassed traditional societies, and cities have surpassed the country. Weber, Durkheim, Tönnies, Simmel and others devoted themselves to cultivating the essence of social transition. The most influential theory to observe and analyze it is the two-tiered approach of ideal type. Tönnies made distinction between 'Gemeinschaft and Gesellschaft', Durkheim distinguished 'mechanical solidarity and organic solidarity', and Redfield analyzed 'folk society and urban society'. In those classical theories, the former transit to the later is considered to be a general rule of transition from traditional society to modern society, and from traditional community to modern community. However, ever since Redfield used the dependent relationship and interactive framework of 'great tradition' and 'little tradition' to explain various complicated phenomena in the transition from tradition to modern in 1950s, he suggested that a folk-urban continuum can be formed in the transition from folk society to urban society. 'Both terms, ‘city’ and ‘country’, are not and have never been limited or restricted to their obvious denotations: ‘city’ is not and has never been only urban. As a category it always encompasses (includes, embodies, embraces) itself and its opposite, the country' (Hassenpflug 2002, 46). Generally, social groups and culture characterized by weak 'potential' will take their own 'little tradition' as 'bridge' and agency, in order to enter or melt themselves into a 'great tradition' that embodies great 'potential' to seek for space to live and develop. There are many different types of transitions that villagers enter and get melt into 'great tradition' through their individual 'little tradition'. There are exploration and development of traditional resources in 'segmentation', such as the frequent relation between a great flow of peasants to cities and the network of kinship, and of earthbound relations; alternatively, there are assistances and utilization of resources of a whole corporate network, such as the traditional corporate community’s organization of local resources during the process of non-agriculturization of villages; and 'villages' in Shenzhen is of the latter situation. The following conclusion can be made based on the above analyses: urban corporate community formed in the process of non-agricultural development and urbanization is an organizing dependency on which villagers melt into city and adapt to urban life. The unique inner-structure and function determine that comparing with other organizations, it has a better performance, efficiency and more humanity care. Firstly, corporate community which is re-organized in the non-agricultural process currently is the only and the most effective organizational resources that can be utilized and has significant meanings in protecting villagers’ interest and benefit; secondly, in the short term, other approaches do not have the advantage and the effect as urban corporate community has on the focusing degree of public affairs in the comprehensive urbanization process; thirdly, the 'new' key connotation of urban corporate community, including its community management functions, is the main reason for which such community has the rationality of being; fourthly, urban corporate community will inevitably face many problems in the urbanization due to its inner fixed characteristics (lack of external support), but to a certain degree it has the ability to self-repair and problem solving under the precondition that, the government and society have a fair, impersonal view of 'villages', and base on this view providing multi-supports, especially providing rational system arrangement and policy supports. Consequently, in order to preserve and protect social system and cultural heritage within the 'villages', and gradually make the coordinative development of 'great tradition' represented by cities and of 'little tradition' represented by 'villages', 'soft reconstruction' rather than 'hard reconstruction' should be adopted by the government, during the recent reconstruction of 'villages' in Shenzhen.
This research focuses on an approach to describe principles in architectural layout planning within the domain of revitalization. With the aid of mathematical rules, which are executed by a computer, solutions to design problems are generated. Provided that "design" is in principle a combinatorial problem, i.e. a constraint-based search for an overall optimal solution of a problem, an exemplary method will be described to solve such problems in architectural layout planning. To avoid conflicts relating to theoretical subtleness, a customary approach adopted from Operations Research has been chosen in this work. In this approach, design is a synonym for planning, which could be described as a systematic and methodical course of action for the analysis and solution of current or future problems. The planning task is defined as an analysis of a problem with the aim to prepare optimal decisions by the use of mathematical methods. The decision problem of a planning task is represented by an optimization model and the application of an efficient algorithm in order to aid finding one or more solutions to the problem. The basic principle underlying the approach presented herein is the understanding of design in terms of searching for solutions that fulfill specific criteria. This search is executed by the use of a constraint programming language.
Die Bauaufgaben der Zukunft liegen in der Auseinandersetzung mit bestehender Architektur. Die planerische Herausforderung besteht im Verzicht auf den Neubau durch die Umnutzung und den Umbau existenter Gebäude. Umnutzung und Umbau sind Werterhaltungsstrategien, die den Lebenszyklus eines Gebäudes als integralen Bestandteil der Planung betrachten und deren Ziel es ist, ungenutzte Bestandsgebäude durch keine oder wenige bauliche Eingriffe so zu verändern, dass sie einer Weiternutzung zugeführt werden können. Die Umnutzung unterliegt der Prämisse, dass an den Gebäuden keine baulichen Veränderungen vorgenommen werden, wohingegen der Umbau bauliche Eingriffe gestattet. Als Alternative zum Neubau ist der Erfolg beider Strategien entscheidend davon abhängig, dass der Architekt schon zu Beginn der Planung zu der Entscheidung gelangt, ob sich ein Gebäude unter Anwendung einer der beiden Strategien weiternutzen lässt. Diese Entscheidung wird vom Architekten in der Praxis durch einen Vergleich des Soll-Zustands (Raumprogramm) mit dem Ist-Zustand (Bestandsgrundriss) des Gebäudes getroffen. Die Analyse und Bewertung des Bestandes erfolgt in dieser frühen Phase der Planung in Form von Vorentwurfsskizzen, welche die organisatorischen oder baulichen Veränderungen der Gebäudegrundrisse im Falle einer Weiternutzung darstellen. In dieser Arbeit wird die Hypothese aufgestellt, dass der Vergleich des Raumprogramms mit dem Gebäudegrundriss im Wesentlichen eine kombinatorische Problemstellung darstellt. Unter dieser Annahme wird untersucht, ob durch den Einsatz von Optimierungsverfahren in der Grundrissplanung Lösungen für Umbau- und Umnutzungsaufgaben automatisiert erzeugt werden können. Ziel ist es, durch den computergestützten Einsatz dieser Verfahren zu plausiblen Planungslösungen, die dem Architekten als Grundlage für die weitere Bearbeitung der Planung dienen, zu gelangen.
The design and application of high performance materials demands extensive knowledge of the materials damage behavior, which significantly depends on the meso- and microstructural complexity. Numerical simulations of crack growth on multiple length scales are promising tools to understand the damage phenomena in complex materials. In polycrystalline materials it has been observed that the grain boundary decohesion is one important mechanism that leads to micro crack initiation. Following this observation the paper presents a polycrystal mesoscale model consisting of grains with orthotropic material behavior and cohesive interfaces along grain boundaries, which is able to reproduce the crack initiation and propagation along grain boundaries in polycrystalline materials. With respect to the importance of modeling the geometry of the grain structure an advanced Voronoi algorithm is proposed to generate realistic polycrystalline material structures based on measured grain size distribution. The polycrystal model is applied to investigate the crack initiation and propagation in statically loaded representative volume elements of aluminum on the mesoscale without the necessity of initial damage definition. Future research work is planned to include the mesoscale model into a multiscale model for the damage analysis in polycrystalline materials.
In civil engineering practice, values of column forces are often required before any detailed analysis of the structure has been performed. One of the reasons for this arises from the fast-tracked nature of the majority of construction projects: foundations are laid and base columns constructed whilst analysis and design are still in progress. A need for quick results when feasibility studies are performed or when evaluating the effect of design changes on supporting columns form other situations in which column forces are required, but where a detailed analysis to get these forces seems superfluous. Thus it was concluded that the development of an efficient tool for column force calculations, in which the extensive input required in a finite element analysis is to be avoided, would be highly beneficial. The automation of the process is achieved by making use of a Voronoi diagram. The Voronoi diagram is used a) for subdividing the floor into influence areas and b) as a basis for automatic load assignment. The implemented procedure is integrated into a CAD system in which the relevant geometric information of the floor, i.e. its shape and column layout, can be defined or uploaded. A brief description of the implementation is included. Some comparative results and considerations regarding the continuation of the study are given.
The main hypothesis of this research is that civil society’s participation is able to improve the planning results in the Chinese city of Qingdao in the contemporary age. Qingdao is a young city developed from a German colony in eastern China. Apart from the powers of the government and the market, the 'third power', including mainly the power of volunteer citizens and the citizens’ organisations, also positively promoted the spatial development in Qingdao’s history. Since 1978’s reform, Qingdao’s great progress in urban housing, historic preservation, public space and urban traffic results mainly from the increasing strength of both the government and the market, while the government has always been the dominant promoter for urban construction. The actual planning mechanism – the government formulates 'what to do' itself and decides 'how to do it' with the market – has much limit in reacting to the rapidly changing situation, serving diversified social interests, and raising sufficient funds for the city’s urgent demands in Qingdao. Searching for new development strategies based on the understanding of civil society in the Chinese context can provide a promising perspective on the urban studies of Qingdao. Chinese civil society can be understood as the intermediate sphere of individuals, families, citizen’s organisations, social movements, public communication, and of the non-governmental body’s non-for-profit involvement for the provision of public services between the state and the market. China has its own cultural tradition of civil society, and the modern civil society in China is showing its great potential in improving social integration and urban life. The Chinese government has started to advocate for civil society’s participation in urban construction, and encouraging the 'bottom-up' mechanism in the planning-related issues through political statements and legislative approaches since the last two decades. The existing planning practice in China is able to demonstrate that civil society’s participation helps improve the quality of Chinese urban planning realistically under present conditions, and that moderation of planning experts and the push of the authority are the key factors for successfully integrating the strength of civil society in planning. However, the power of civil society is not yet sufficiently discovered in Qingdao’s planning. For better planning results, the city of Qingdao needs more initiatives to mobilize civil society in the planning practice, as well as more support to enrich the related studies. This thesis recommends that Qingdao establishes the 'Foundation for Collaborative Urban Solutions' through the joint efforts of the authority and civil initiatives, which aims at moderating and facilitating the strength of civil society. The suggested pilot projects include: a. The Community-based Housing Workshop for regenerating the living environment of the run-down communities, where the residents are willing to collaborate with the foundation with own efforts. b. The Heritage Preservation Workshop for suggesting an efficient supervision mechanism involving civil society which protects the historic heritage from being destroyed in the urban construction. c. The Public Space Forum for improving accessibility, quantity and ecologic function in the development of Qingdao’s urban public space with the knowledge and creativity of both the government and the citizens. d. The Mass Transport Forum for a realistic strategy for funding the rail-based traffic system in Qingdao through enabling the civil society - especially the individual citizens and their households to invest. The 'Foundation of Collaborative Urban Solutions' is able to improve Qingdao’s planning to cope with the urban problems the city are facing in its contemporary development, as well as to provide valuable reference for the further research of civil society’s participation in Chinese urban planning.
Auf der Basis der Literaturrecherche wird in dieser Arbeit eine 5-lagige MAG-geschweißte Stumpfnaht an austenitisch-ferritischen Stahl X2CrNiMoN22-5-3 (Duplex-Stahl 1.4462) mit dem FE-Programm „SYSWELD®“ simuliert. Die Berech-nungen der Temperaturfelder werden unter der Berücksichtigung sowohl von tempe-raturunabhängigen als auch temperaturabhängigen thermophysikalischen Material-eigenschaften am drei-dimensionalen und zwei-dimensionalen Modell durchgeführt. Die berechneten Temperatur-Zeit-Verläufe und Gefügeumwandlungen beim MAG-Schweißen der Stumpfnaht werden hinsichtlich der Einflüsse und Veränderun-gen analysiert und die ermittelten Abkühlzeiten t12/8 werden für jede Schweißlage bewertet. Anschließend werden die Berechnungen des Eigenspannungszustandes für einzelne Schweißlagen untersucht.
Die Dissertation widmet sich den 'Wiederholungsstrukturen in den Filmen von Jim Jarmusch'. Mit dem Thema soll ein neues Konzept der Filmanalyse vorgestellt werden. In seiner Methodologie beruht es auf dem Element der Wiederholung. Die Wiederholung tritt im Film semiotisch auf. Im modernen philosophischen Denken spielt die Wiederholung eine Rolle, indem sie auf bestimmte Weise differentiell auftritt. Im Film bildet die Wiederholung kennzeichnende Codierungen aus. In unterschiedlicher Hinsicht bietet es sich somit an, das Element als Schlüssel zur Filminterpretation aufzugreifen. Das neue Konzept unterscheidet sich von bisherigen filmischen Methoden dadurch, dass mit ihm über das standardisierte Begriffsinstrumentarium aus der Filmwissenschaft hinausgegangen wird, ohne diesem den Rücken zu kehren. Jedoch wird Filmanalyse anhand des Elements der Wiederholung nun genuin als Akt der semiotischen Interpretation und des philosophischen Lesens von Filmen begriffen. In diesem Rahmen beruht das Verstehen von Filmen auf einzelnen und komplexen Zeichen, die im Film Zeitlichkeit und Räumlichkeit herstellen. In poststrukturaler Hinsicht lässt sich die Wiederholung als das konstitutive Moment im Zeit-Bild von Gilles Deleuze verstehen. In der Philosophie gibt es aber noch andere Denker, bei denen die Wiederholung relevant ist. Wie lässt sich die Wiederholung als materielles Element im Film einerseits, als philosophisch Gedachtes andererseits für die Filmanalyse gewinnbringend einsetzen? In Beantwortung dieser Frage wird in der Untersuchung zu den 'Wiederholungsstrukturen in den Filmen von Jim Jarmusch' versucht, dem Konzept des auteur-structuralisme Rechnung zu tragen. In der Lektüre und Interpretation wird Jarmusch als Autor / auteur mit der Struktur seiner Filme 'identifiziert'. Mit der Verschränkung von Autor / auteur und filmischem Text wird auf Roland Barthes Forderung nach der 'Geburt des Lesers' eingegangen. Filme sind demnach auch dann lesbar, wenn der Autor / auteur selbst (in unserem Fall Jim Jarmusch) für das, was er produziert hat, nicht mehr einsteht. Das theoretische Ziel der Untersuchung liegt darin, Erkenntnisse über die filmische Wiederholung zu gewinnen, sowohl in Bezug auf das philosophische Denken der Wiederholung, als auch hinsichtlich ihrer materiellen Verkörperung. Das Denken der Wiederholung wird fragend behandelt, indem wissenschaftlich untersuchend in die filmische Illusion eingegriffen wird. Mit Blick auf das ganze filmische Schaffen Jarmuschs wird aufgezeigt, wie sich seine filmischen „möglichen Welten“ anhand der Aufschlüsselung der Zeichen interpretieren lassen. Die Untersuchung stellt somit ein bislang noch nicht angewandtes Konzept der Betrachtung von Filmen vor, das auch auf andere Filmautoren / auteurs und ihr jeweiliges künstlerisches Schaffen übertragbar wäre.
Interval analysis extends the concept of computing with real numbers to computing with real intervals. As a consequence, some interesting properties appear, such as the delivery of guaranteed results or confirmed global values. The former property is given in the sense that unknown numerical values are in known to lie in a computed interval. The latter property states that the global minimum value, for example, of a given function is also known to be contained in a interval (or a finite set of intervals). Depending upon the amount computation effort invested in the calculation, we can often find tight bounds on these enclosing intervals. The downside of interval analysis, however, is the mathematically correct, but often very pessimistic size of the interval result. This is in particularly due to the so-called dependency effect, where a single variable is used multiple times in one calculation. Applying interval analysis to structural analysis problems, the dependency has a great influence on the quality of numerical results. In this paper, a brief background of interval analysis is presented and shown how it can be applied to the solution of structural analysis problems. A discussion of possible improvements as well as an outlook to parallel computing is also given.
Prozesse im Bauingenieurwesen sind komplex und beinhalten eine große Anzahl verschiedener Aufgaben mit vielen logischen Abhängigkeiten. Basierend auf diesen projektspezifischen Abhängigkeiten wird gewöhnlich ein Bauablaufplan manuell erstellt. In der Regel existieren mehrere Varianten und somit alternative Bauabläufe um ein Projekt zu realisieren. Welche dieser Ausführungsvarianten zur praktischen Anwendung kommt, wird durch den jeweiligen Projektmanager bestimmt. Falls Ä;nderungen oder Störungen während des Bauablaufs auftreten, müssen die davon betroffenen Aufgaben und Abläufe per Hand modifiziert und alternative Aufgaben sowie Abläufe stattdessen ausgeführt werden. Diese Vorgehensweise ist oft sehr aufwändig und teuer. Aktuelle Forschungsansätze beschäftigen sich mit der automatischen Generierung von Bauabläufen. Grundlage sind dabei Aufgaben mit ihren erforderlichen Voraussetzungen und erzeugten Ergebnissen. Im Rahmen dieses Beitrags wird eine Methodik vorgestellt, um Bauabläufe mit Ausführungsvarianten in Form von Workflow-Netzen zu jeder Zeit berechnen zu können. Die vorgestellte Methode wird anhand eines Beispiels aus dem Straßenbau schematisch dargestellt.
Für die Ausführung des Oberbaus von Verkehrsflächen existiert in Abhängigkeit von projektspezifischen Voraussetzungen eine Vielzahl von verschiedenen Varianten. Aufgrund von Erfahrungen der Projektplaner werden bei ähnlichen Voraussetzungen häufig gleichartige Ausführungsvarianten gewählt. Um eine mögliche Lösungsvariante für den Straßenoberbau zu erhalten, sollten daher nicht nur die gesetzlichen Richtlinien sondern auch bereits beendete Projekte berücksichtigt werden. Im Rahmen eines Wissenschaftlichen Kollegs an der Bauhaus-Universität Weimar wurde die Anwendung des Case-Based Reasoning für die Auswahl von Ausführungsvarianten für den Straßenoberbau untersucht. In diesem Beitrag werden die grundlegenden Konzepte des Case-Based Reasoning und die Bestimmung von ähnlichen Varianten anhand einfacher Beispiele aus dem Straßenoberbau dargestellt.
We show a close relation between the Schrödinger equation and the conductivity equation to a Vekua equation of a special form. Under quite general conditions we propose an algorithm for explicit construction of pseudoanalytic positive formal powers for the Vekua equation that as a consequence gives us a complete system of solutions for the Schrödinger and the conductivity equations. Besides the construction of complete systems of exact solutions for the above mentioned second order equations and the Dirac equation, we discuss some other applications of pseudoanalytic function theory.
The quaternionic operator calculus can be applied very elegantly to solve many important boundary value problems arising in fluid dynamics and electrodynamics in an analytic way. In order to set up fully explicit solutions. In order to apply the quaternionic operator calculus to solve these types of boundary value problems fully explicitly, one has to evaluate two types of integral operators: the Teodorescu operator and the quaternionic Bergman projector. While the integral kernel of the Teodorescu transform is universal for all domains, the kernel function of the Bergman projector, called the Bergman kernel, depends on the geometry of the domain. Recently the theory of quaternionic holomorphic multiperiodic functions and automorphic forms provided new impulses to set up explicit representation formulas for large classes of hyperbolic polyhedron type domains. These include block shaped domains, wedge shaped domains (with or without additional rectangular restrictions) and circular symmetric finite and infinite cylinders as particular subcases. In this talk we want to give an overview over the recent developments in this direction.
Procedures of a construction of general solutions for some classes of partial differential equations (PDEs) are proposed and a symmetry operators approach to the raising the orders of the polynomial solutions to linear PDEs are develops. We touch upon an ''operator analytic function theory'' as the solution of a frequent classes of the equations of mathematical physics, when its symmetry operators forms vast enough space. The MAPLE© package programs for the building the operator variables is elaborated also.
Die Arbeit beinhaltet die Planungsgrundlage (Modellgesetze)und Herstellung (Modellbau) eines physikalischen Modells eines Flußabschnittes in den Grenzen seiner hydraulischen Wirkung. Ziel der Untersuchungen ist die Ertüchtigung derim Modell dargestellten Hochwasserschutzanlagen unter vorgegebenen Auflagen. Es werden Modelluntersuchungen durchgeführt, die zur Erfassung der Wasserstände bei verschiedenen Durchflüssen dienen. Die dafür eingesetzte Messtechnik wird dokumentiert. Die Messdaten werden hinsichtlich Messgenauigkeit und Messfehlerbehaftung untersucht, um die Ergebnisse im Vergleich mit einem numerischen Modell aufzubereiten.
Zwischen Transformation und Globalisierung - Immobilienmarkt und Stadtentwicklung in Warschau
(2006)
Nach der politischen Wende Ende der 1980er/Anfang der 1990er Jahre entwickelte sich in Warschau innerhalb kurzer Zeit ein hoch dynamischer Immobilienmarkt kapitalistischer Prägung, dessen Mechanismen grundlegende Auswirkungen auf die Stadtentwicklung Warschaus haben. Im folgenden Aufsatz werden die wesentlichen Eigenschaften des Büro- und Wohnungsmarkts aufgezeigt. Es werden für jeden Sektor die Funktionsweise, die wesentlichen Akteure der Nachfrage- und Angebotsseite, die Rolle der Institutionen und die räumlichen Konsequenzen dargestellt.