@phdthesis{Michel, author = {Michel, Ralf}, title = {Licht - Farbe - Licht : Zur Integration von Design und Technik in der Designforschung mit Licht und Farbe}, doi = {10.25643/bauhaus-universitaet.3794}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20180921-37941}, school = {Bauhaus-Universit{\"a}t Weimar}, pages = {224}, abstract = {Die Thesis untersucht am Beispiel von Farb-Licht Forschungen (Interaktion dynamischen Lichts mit farbigen Oberfl{\"a}chen) und der Designforschungen am Potenzial der organisch Licht emittierenden Dioden (OLED) integrierende Aspekte des Designs im Kontext dieser Technologien. Des weiteren reflektiert die Thesis am Beispiel dieser Designforschungen das Verh{\"a}ltnis von Designforschung und Innovation f{\"u}r die gestalterischen Disziplinen.}, subject = {Design}, language = {de} } @article{ChubukovKapitanovMoninaetal., author = {Chubukov, A. and Kapitanov, Valeriy and Monina, Olga and Silyanov, Valentin and Brannolte, Ulrich}, title = {Simulation of Regional Mortality Rate in Road Accidents}, series = {Transportation Research Procedia 20}, journal = {Transportation Research Procedia 20}, doi = {10.1016/j.trpro.2017.01.031}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170331-30956}, pages = {112 -- 124}, abstract = {The paper gives the results of scientific research, which, being based on probabilistic and statistical modeling, identifies the relationship of certain socio-economic factors and the number of people killed in road accidents in the Russian Federation regions. It notes the identity of processes in various fields, in which there is loss of life. Scientific methods and techniques were used in the process of data processing and study findings: systematic approach, methods of system analysis (algorithmization, mathematical programming) and mathematical statistics. The scientific novelty lies in the formulation, formalization and solving problems related to the analysis of regional road traffic accidents, its modeling taking into account the factors of socio-economic impact.}, subject = {Modellierung}, language = {en} } @article{ChubukovKapitanovMoninaetal., author = {Chubukov, A. and Kapitanov, Valeriy and Monina, Olga and Silyanov, Valentin and Brannolte, Ulrich}, title = {Calculation of Traffic Capacity of Signaled Intersections}, series = {Transportation Research Procedia 20}, journal = {Transportation Research Procedia 20}, doi = {10.1016/j.trpro.2017.01.032}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170401-30964}, pages = {125 -- 131}, abstract = {In order to calculate traffic capacity of signaled intersections, it was suggested to apply an approach based on the concept of congestions. The paper states examples of traffic capacity calculation.}, subject = {Verkehr}, language = {en} } @unpublished{SimonRitzRudolf, author = {Simon-Ritz, Frank and Rudolf, Sylvelin}, title = {Ein Schaufenster f{\"u}r die Kunst}, volume = {69}, number = {Heft 6}, doi = {10.25643/bauhaus-universitaet.3230}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170711-32307}, pages = {312 -- 317}, abstract = {Kunstausstellungen in Bibliotheken}, subject = {Ausstellung}, language = {de} } @article{MetznerSawitzky, author = {Metzner, Steffen and Sawitzky, Mareen}, title = {Priorisierung von Immobilienm{\"a}rkten mittels ELECTRE: Nutzung eines Outranking-Modells im taktischen Portfoliomanagement}, series = {Zeitschrift f{\"u}r Immobilien{\"o}konomie}, journal = {Zeitschrift f{\"u}r Immobilien{\"o}konomie}, doi = {10.1365/s41056-016-0017-y}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170425-31516}, pages = {121 -- 144}, abstract = {In Zeiten volatiler Immobilienm{\"a}rkte und einer hohen Wettbewerbsintensit{\"a}t sind leistungsf{\"a}hige Systeme der Analyse und Entscheidungsunterst{\"u}tzung unverzichtbar. Entscheidungen zu Investitionsstrategien und Einzelinvestitionen basieren zumeist auf mehreren entscheidungsrelevanten Kriterien. Unterschiedliche immobilienwirtschaftliche Entscheidungsalternativen k{\"o}nnen dabei durchaus Kriterienauspr{\"a}gungen aufweisen, die eine bestimmte Alternative nicht als stets besser bzw. stets schlechter ausweisen. Klassische finanzwirtschaftliche Modelle oder verbreitete qualitative Verfahren wie das Scoring k{\"o}nnen die gegebene Komplexit{\"a}t meist nicht angemessen ber{\"u}cksichtigen. Eine Weiterentwicklung immobilienwirtschaftlicher Entscheidungsmodelle ist durch die {\"U}bertragung und Spezifizierung multikriterieller Verfahren der Entscheidungsunterst{\"u}tzung m{\"o}glich. Speziell die Untergruppe des Outranking besch{\"a}ftigt sich mit der schrittweisen Strukturierung, Ordnung und Priorisierung von komplexen Auswahlalternativen. Als spezifische immobilienwirtschaftliche Fragestellung dient hier die Auswahl und Priorisierung von Zielm{\"a}rkten im taktischen Portfoliomanagement eines institutionellen Immobilienportfoliosmit internationaler Ausrichtung. Die Formalisierung des Entscheidungsproblems „Priorisierung von Zielm{\"a}rkten" erfolgt mit dem ELECTRE-Verfahren.}, subject = {Portfoliomanagement}, language = {de} } @article{DaubeMetzner, author = {Daube, Dirk and Metzner, Steffen}, title = {Priorisierung von energetischen Maßnahmen in heterogenen Immobilienportfolios - Am Beispiel eines Bestandes der {\"o}ffentlichen Hand}, series = {Zeitschrift f{\"u}r Immobilien{\"o}konomie}, journal = {Zeitschrift f{\"u}r Immobilien{\"o}konomie}, doi = {10.1365/s41056-016-0011-4}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170418-31332}, pages = {53 -- 79}, abstract = {In vielen {\"o}ffentlichen Geb{\"a}uden besteht ein hohes wirtschaftliches Einsparpotenzial bei den relevanten Energietr{\"a}gern W{\"a}rme und Strom. Projekte zur energetischen Optimierungen refinanzieren sich h{\"a}ufig nach wenigen Jahren. Die notwenigen Investitionsmittel stehen jedoch nur begrenzt zur Verf{\"u}gung. Zielgerichtete Analysen und Potenzialsch{\"a}tzungen sind erforderlich, um eine Priorisierung optionaler Maßnahmen zu erreichen. Die Studie zeigt anhand eines {\"o}ffentlichen Portfolios notwendige Untersuchungsschritte auf. Die Einzelpotenziale werden {\"u}ber geeignete Benchmarks ermittelt. Auf Portfolioebene werden u. a. spezifische Potenzial-Matrizen genutzt. Die kennzahlenbasierte Priorisierung von Maßnahmen ist umso wichtiger, je st{\"a}rker das Potenzial auf wenige Objekte konzentriert ist.}, subject = {{\"O}ffentlicher Sektor}, language = {de} } @article{MeunierWaltherWorsleyetal., author = {Meunier, David and Walther, Christoph and Worsley, Tom and Dahl, Alexander and Le Ma{\^i}tre, H{\´e}l{\`e}ne}, title = {Evolutions of the Reference Values Used in Transport CBA National Guidelines of 3 Countries and What they Reveal}, series = {Transportation Research Procedia 13}, journal = {Transportation Research Procedia 13}, doi = {10.1016/j.trpro.2016.05.011}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170406-31106}, pages = {100 -- 113}, abstract = {The paper presents, analyses and compares the evolution of reference values used in national guidelines issued for cost-benefit analysis of transport infrastructure projects, over the last fifty years, in France, UK and Germany.}, subject = {Verkehrsinfrastruktur}, language = {en} } @article{ThiriouxWehrmannLangbouretal., author = {Thirioux, Berangere and Wehrmann, Moritz and Langbour, Nicolas and Jaafari, Nematollah and Berthoz, Alain}, title = {Identifying One self with the Face of Someone Else Impairs the Egocentered Visuo-spatial Mechanisms: A New Double Mirror Paradigm to Study Self-Other Distinction and Interaction}, series = {FRONTIERS IN PSYCHOLOGY}, journal = {FRONTIERS IN PSYCHOLOGY}, doi = {10.3389/fpsyg.2016.01283}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170411-31150}, abstract = {Looking at our face in a mirror is one of the strongest phenomenological experiences of the Self in which we need to identify the face as reflected in the mirror as belonging to us. Recent behavioral and neuroimaging studies reported that self-face identification not only relies upon visual-mnemonic representation of ones own face but also upon continuous updating and integration of visuo-tactile signals. Therefore, bodily self-consciousness plays a major role in self-face identification, with respect to interplay between unisensory and multisensory processing. However, if previous studies demonstrated that the integration of multisensory body-related signals contributes to the visual processing of ones own face, there is so far no data regarding how self-face identification, inversely, contributes to bodily self-consciousness. In the present study, we tested whether selfother face identification impacts either the egocentered or heterocentered visuo-spatial mechanisms that are core processes of bodily self-consciousness and sustain selfother distinction. For that, we developed a new paradigm, named Double Mirror. This paradigm, consisting of a semi-transparent double mirror and computer-controlled Light Emitting Diodes, elicits selfother face merging illusory effect in ecologically more valid conditions, i.e., when participants are physically facing each other and interacting. Self-face identification was manipulated by exposing pairs of participants to an Interpersonal Visual Stimulation in which the reflection of their faces merged in the mirror. Participants simultaneously performed visuo-spatial and mental own-body transformation tasks centered on their own face (egocentered) or the face of their partner (heterocentered) in the pre- and post-stimulation phase. We show that selfother face identification altered the egocentered visuo-spatial mechanisms. Heterocentered coding was preserved. Our data suggest that changes in self-face identification induced a bottom-up conflict between the current visual representation and the stored mnemonic representation of ones own face which, in turn, top-down impacted bodily self-consciousness.}, subject = {Gesicht}, language = {en} } @article{Elrasoul, author = {Elrasoul, Riham}, title = {City Architectural Heritage Revival: The Need of a New Applied Approach}, series = {Procedia - Social and Behavioral Sciences 225}, journal = {Procedia - Social and Behavioral Sciences 225}, doi = {10.1016/j.sbspro.2016.06.021}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170401-30977}, pages = {216 -- 225}, abstract = {Egypt is a nation of 4000 years of civilization, which was known for its ancient architecture that occupied the highest rank of importance, but how long will our neglected heritage sites survive in our recent era? This is a rising debate. This paper is based on a hypothesis whether the conservation of the neglected or isolated heritage sites, particularly in the inhabited areas, can bind the citizens to their past. For this reason, the research provides scenes of many applied conservation practices in other countries. The study calls for developing a new applied approach of conservation that takes the interaction between citizens and the city heritage zones into consideration.}, subject = {Sozialisation}, language = {en} } @article{FrommholzHaiderMPotthastetal., author = {Frommholz, Ingo and Haider M., al-Khateeb and Potthast, Martin and Ghasem, Zinnar and Shukla, Mitul and Short, Emma}, title = {On Textual Analysis and Machine Learning for Cyberstalking Detection}, series = {Datenbank Spektrum}, journal = {Datenbank Spektrum}, doi = {10.1007/s13222-016-0221-x}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170418-31352}, pages = {127 -- 135}, abstract = {Cyber security has become a major concern for users and businesses alike. Cyberstalking and harassment have been identified as a growing anti-social problem. Besides detecting cyberstalking and harassment, there is the need to gather digital evidence, often by the victim. To this end, we provide an overview of and discuss relevant technological means, in particular coming from text analytics as well as machine learning, that are capable to address the above challenges. We present a framework for the detection of text-based cyberstalking and the role and challenges of some core techniques such as author identification, text classification and personalisation. We then discuss PAN, a network and evaluation initiative that focusses on digital text forensics, in particular author identification.}, subject = {Text Mining}, language = {en} } @inproceedings{HoelterMahmoudiSchanz, author = {H{\"o}lter, Raoul and Mahmoudi, Elham and Schanz, Tom}, title = {OPTIMAL SENSOR LOCATION FOR PARAMETER IDENTIFICATION IN SOFT CLAY}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2800}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28008}, pages = {6}, abstract = {Performing parameter identification prior to numerical simulation is an essential task in geotechnical engineering. However, it has to be kept in mind that the accuracy of the obtained parameter is closely related to the chosen experimental setup, such as the number of sensors as well as their location. A well considered position of sensors can increase the quality of the measurement and to reduce the number of monitoring points. This Paper illustrates this concept by means of a loading device that is used to identify the stiffness and permeability of soft clays. With an initial setup of the measurement devices the pore water pressure and the vertical displacements are recorded and used to identify the afore mentioned parameters. Starting from these identified parameters, the optimal measurement setup is investigated with a method based on global sensitivity analysis. This method shows an optimal sensor location assuming three sensors for each measured quantity, and the results are discussed.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{Grigor'ev, author = {Grigor'ev, Yuri}, title = {REGULAR QUATERNIONIC FUNCTIONS AND THEIR APPLICATIONS}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2798}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27988}, pages = {6}, abstract = {The theory of regular quaternionic functions of a reduced quaternionic variable is a 3-dimensional generalization of complex analysis. The Moisil-Theodorescu system (MTS) is a regularity condition for such functions depending on the radius vector r = ix+jy+kz seen as a reduced quaternionic variable. The analogues of the main theorems of complex analysis for the MTS in quaternion forms are established: Cauchy, Cauchy integral formula, Taylor and Laurent series, approximation theorems and Cauchy type integral properties. The analogues of positive powers (inner spherical monogenics) are investigated: the set of recurrence formulas between the inner spherical monogenics and the explicit formulas are established. Some applications of the regular function in the elasticity theory and hydrodynamics are given.}, subject = {Angewandte Informatik}, language = {en} } @article{KonichNikitinKlimenkoetal., author = {Konich, Kira and Nikitin, Igor and Klimenko, Stanislav and Malofeev, Valery and Tyul'bashev, Sergey}, title = {Radio Astronomical Monitoring in Virtual Environment}, series = {Procedia Computer Science}, journal = {Procedia Computer Science}, doi = {10.1016/j.procs.2015.11.067}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170425-31431}, pages = {592 -- 601}, abstract = {We present StarWatch, our application for real-time analysis of radio astronomical data in Virtual Environment. Serving as an interface to radio astronomical databases or being applied to live data from the radio telescopes, the application supports various data filters measuring signal-to-noise ratio (SNR), Doppler's drift, degree of signal localization on celestial sphere and other useful tools for signal extraction and classification. Originally designed for the database of narrow band signals from SETI Institute (setilive.org), the application has been recently extended for the detection of wide band periodic signals, necessary for the search of pulsars. We will also address the detection of week signals possessing arbitrary waveforms and present several data filters suitable for this purpose.}, subject = {Virtuelle Realit{\"a}t}, language = {en} } @inproceedings{MacedoBentaPicadoSantos, author = {Macedo, Joaquim Miguel and Benta, Agostinho and Picado-Santos, Luis}, title = {USE OF MICROSIMULATION IN THE ADAPTATION TO PORTUGAL OF THE HCM 2000 METHODOLOGY FOR BASIC FREEWAY SEGMENTS}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2812}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28122}, pages = {7}, abstract = {Portugal is one of the European countries with higher spatial and population freeway network coverage. The sharp growth of this network in the last years instigates the use of methods of analysis and the evaluation of their quality of service in terms of the traffic performance, typically performed through internationally accepted methodologies, namely that presented in the Highway Capacity Manual (HCM). Lately, the use of microscopic traffic simulation models has been increasingly widespread. These models simulate the individual movement of the vehicles, allowing to perform traffic analysis. The main target of this study was to verify the possibility of using microsimulation as an auxiliary tool in the adaptation of the methodology by HCM 2000 to Portugal. For this purpose, were used the microscopic simulators AIMSUN and VISSIM for the simulation of the traffic circulation in the A5 Portuguese freeway. The results allowed the analysis of the influence of the main geometric and traffic factors involved in the methodology by HCM 2000. In conclusion, the study presents the main advantages and limitations of the microsimulators AIMSUN and VISSIM in modelling the traffic circulation in Portuguese freeways. The main limitation is that these microsimulators are not able to simulate explicitly some of the factors considered in the HCM 2000 methodology, which invalidates their direct use as a tool in the quantification of those effects and, consequently, makes the direct adaptation of this methodology to Portugal impracticable.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{MeierSchanz, author = {Meier, J{\"o}rg and Schanz, Tom}, title = {Benchmarking of Optimization Algorithms}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2813}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28134}, pages = {6}, abstract = {In this paper, we present an empirical approach for objective and quantitative benchmarking of optimization algorithms with respect to characteristics induced by the forward calculation. Due to the professional background of the authors, this benchmarking strategy is illustrated on a selection of search methods in regard to expected characteristics of geotechnical parameter back calculation problems. Starting from brief introduction into the approach employed, a strategy for optimization algorithm benchmarking is introduced. The benchmarking utilizes statistical tests carried out on well-known test functions superposed with perturbations, both chosen to mimic objective function topologies found for geotechnical objective function topologies. Here, the moved axis parallel hyper-ellipsoid test function and the generalized Ackley test function in conjunction with an adjustable quantity of objective function topology roughness and fraction of failing forward calculations is analyzed. In total, results for 5 optimization algorithms are presented, compared and discussed.}, subject = {Angewandte Informatik}, language = {en} } @article{WangArash, author = {Wang, Quan and Arash, Behrouz}, title = {Announcement of a virtual special issue on computational carbon nanoscience}, series = {Carbon}, journal = {Carbon}, doi = {10.1016/j.carbon.2015.05.082}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170428-31695}, pages = {370 -- 372}, abstract = {The Carbon journal is pleased to introduce a themed collection of recent articles in the area of computational carbon nanoscience. This virtual special issue was assembled from previously published Carbon articles by Guest Editors Quan Wang and Behrouz Arash, and can be accessed as a set in the special issue section of the journal website homepage: www.journals.elsevier.com/carbon. The article below by our guest editors serves as an introduction to this virtual special issue, and also a commentary on the growing role of computation as a tool to understand the synthesis and properties of carbon nanoforms and their behavior in composite materials.}, subject = {Kohlenstoff}, language = {en} } @inproceedings{KhristichAstapov, author = {Khristich, Dmitrii and Astapov, Yuri}, title = {VARIATIONAL POSITING AND SOLUTION OF COUPLED THERMOMECHANICAL PROBLEMS IN A REFERENCE CONFIGURATION}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2809}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28091}, pages = {6}, abstract = {Variational formulation of a coupled thermomechanical problem of anisotropic solids for the case of non-isothermal finite deformations in a reference configuration is shown. The formulation of the problem includes: a condition of equilibrium flow of a deformation process in the reference configuration; an equation of a coupled heat conductivity in a variational form, in which an influence of deformation characteristics of a process on the temperature field is taken into account; tensor-linear constitutive relations for a hypoelastic material; kinematic and evolutional relations; initial and boundary conditions. Based on this formulation several axisymmetric isothermal and coupled problems of finite deformations of isotropic and anisotropic bodies are solved. The solution of coupled thermomechanical problems for a hollow cylinder in case of finite deformation showed an essential influence of coupling on distribution of temperature, stresses and strains. The obtained solutions show the development of stressstrain state and temperature changing in axisymmetric bodies in the case of finite deformations.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{Vieira, author = {Vieira, Nelson}, title = {SOME RESULTS IN FRACTIONAL CLIFFORD ANALYSIS}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2825}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28256}, pages = {6}, abstract = {What is nowadays called (classic) Clifford analysis consists in the establishment of a function theory for functions belonging to the kernel of the Dirac operator. While such functions can very well describe problems of a particle with internal SU(2)-symmetries, higher order symmetries are beyond this theory. Although many modifications (such as Yang-Mills theory) were suggested over the years they could not address the principal problem, the need of a n-fold factorization of the d'Alembert operator. In this paper we present the basic tools of a fractional function theory in higher dimensions, for the transport operator (alpha = 1/2 ), by means of a fractional correspondence to the Weyl relations via fractional Riemann-Liouville derivatives. A Fischer decomposition, fractional Euler and Gamma operators, monogenic projection, and basic fractional homogeneous powers are constructed.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{FerreiraVieira, author = {Ferreira, Milton dos Santos and Vieira, Nelson}, title = {EIGENFUNCTIONS AND FUNDAMENTAL SOLUTIONS FOR THE FRACTIONAL LAPLACIAN IN 3 DIMENSIONS}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2796}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27968}, pages = {6}, abstract = {Recently there has been a surge of interest in PDEs involving fractional derivatives in different fields of engineering. In this extended abstract we present some of the results developedin [3]. We compute the fundamental solution for the three-parameter fractional Laplace operator Δ by transforming the eigenfunction equation into an integral equation and applying the method of separation of variables. The obtained solutions are expressed in terms of Mittag-Leffer functions. For more details we refer the interested reader to [3] where it is also presented an operational approach based on the two Laplace transform.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{Musial, author = {Musial, Michal}, title = {THE INFLUENCE OF CRACKS AND OVERESTIMATION ERRORS ON THE DEFLECTION OF THE REINFORCED CONCRETE BEAMS IN THE RIGID FINITE ELEMENT METHOD}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2814}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28142}, pages = {6}, abstract = {This article presents the Rigid Finite Element Method in the calculation of reinforced concrete beam deflection with cracks. Initially, this method was used in the shipbuilding industry. Later, it was adapted in the homogeneous calculations of the bar structures. In this method, rigid mass discs serve as an element model. In the flat layout, three generalized coordinates (two translational and one rotational) correspond to each disc. These discs are connected by elastic ties. The genuine idea is to take into account a discrete crack in the Rigid Finite Element Method. It consists in the suitable reduction of the rigidity in rotational ties located in the spots, where cracks occurred. The susceptibility of this tie results from the flexural deformability of the element and the occurrence of the crack. As part of the numerical analyses, the influence of cracks on the total deflection of beams was determined. Furthermore, the results of the calculations were compared to the results of the experiment. Overestimations of the calculated deflections against the measured deflections were found. The article specifies the size of the overestimation and describes its causes.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{StokmaierClassSchulenbergetal., author = {Stokmaier, Markus and Class, A.G. and Schulenberg, T. and Lahey Jr., R.T}, title = {OPTIMISING ACOUSTIC RESONATORS FOR SONOFUSION EXPERIMENTS WITH EVOLUTIONARY ALGORITHMS}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2820}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28202}, pages = {8}, abstract = {The sizing of simple resonators like guitar strings or laser mirrors is directly connected to the wavelength and represents no complex optimisation problem. This is not the case with liquid-filled acoustic resonators of non-trivial geometries, where several masses and stiffnesses of the structure and the fluid have to fit together. This creates a scenario of many competing and interacting resonances varying in relative strength and frequency when design parameters change. Hence, the resonator design involves a parameter-tuning problem with many local optima. As its solution evolutionary algorithms (EA) coupled to a forced-harmonic FE simulation are presented. A new hybrid EA is proposed and compared to two state-of-theart EAs based on selected test problems. The motivating background is the search for better resonators suitable for sonofusion experiments where extreme states of matter are sought in collapsing cavitation bubbles.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{AlYasiriGuerlebeck, author = {Al-Yasiri, Zainab and G{\"u}rlebeck, Klaus}, title = {ON BOUNDARY VALUE PROBLEMS FOR P-LAPLACE AND P-DIRAC EQUATIONS}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2792}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27928}, pages = {8}, abstract = {The p-Laplace equation is a nonlinear generalization of the Laplace equation. This generalization is often used as a model problem for special types of nonlinearities. The p-Laplace equation can be seen as a bridge between very general nonlinear equations and the linear Laplace equation. The aim of this paper is to solve the p-Laplace equation for 2 < p < 3 and to find strong solutions. The idea is to apply a hypercomplex integral operator and spatial function theoretic methods to transform the p-Laplace equation into the p-Dirac equation. This equation will be solved iteratively by using a fixed point theorem.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{LopesRodriguesVilaReal, author = {Lopes, Nuno and Rodrigues, Daniela and Vila Real, Paulo}, title = {ANALYSIS OF STEEL STRUCTURAL MEMBERS IN FIRE WITH SLENDER CROSS-SECTIONS THROUGH BEAM FINITE ELEMENTS APPLYING AN EFFECTIVE CONSTITUTIVE LAW}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2811}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28116}, pages = {6}, abstract = {Steel profiles with slender cross-sections are characterized by their high susceptibility to instability phenomena, especially local buckling, which are intensified under fire conditions. This work presents a study on numerical modelling of the behaviour of steel structural elements in case of fire with slender cross-sections. To accurately carry out these analyses it is necessary to take into account those local instability modes, which normally is only possible with shell finite elements. However, aiming at the development of more expeditious methods, particularly important for analysing complete structures in case of fire, recent studies have proposed the use of beam finite elements considering the presence of local buckling through the implementation of a new effective steel constitutive law. The objective of this work is to develop a study to validate this methodology using the program SAFIR. Comparisons are made between the results obtained applying the referred new methodology and finite element analyses using shell elements. The studies were made to laterally restrained beams, unrestrained beams, axially compressed columns and columns subjected to bending plus compression.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{Rodrigues, author = {Rodrigues, M. Manuela}, title = {OPERATIONAL PROPERTIES OF THE LAGUERRE TRANSFORM}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2818}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28186}, pages = {5}, abstract = {The Laguerre polynomials appear naturally in many branches of pure and applied mathematics and mathematical physics. Debnath introduced the Laguerre transform and derived some of its properties. He also discussed the applications in study of heat conduction and to the oscillations of a very long and heavy chain with variable tension. An explicit boundedness for some class of Laguerre integral transforms will be present.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{Karaki, author = {Karaki, Ghada}, title = {SELECTION AND SCALING OF GROUND MOTION RECORDS FOR SEISMIC ANALYSIS USING AN OPTIMIZATION ALGORITHM}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2805}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28058}, pages = {7}, abstract = {The nonlinear time history analysis and seismic performance based methods require a set of scaled ground motions. The conventional procedure of ground motion selection is based on matching the motion properties, e.g. magnitude, amplitude, fault distance, and fault mechanism. The seismic target spectrum is only used in the scaling process following the random selection process. Therefore, the aim of the paper is to present a procedure to select a sets of ground motions from a built database of ground motions. The selection procedure is based on running an optimization problem using Dijkstra's algorithm to match the selected set of ground motions to a target response spectrum. The selection and scaling procedure of optimized sets of ground motions is presented by examining the analyses of nonlinear single degree of freedom systems.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{KrausshardeAlmeida, author = {Kraußhar, Rolf S{\"o}ren and de Almeida, Regina}, title = {FUNDAMENTALS OF A WIMAN VALIRON THEORY FOR POLYMONOGENIC FUNCTIONS}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2810}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28100}, pages = {6}, abstract = {In this paper we present some rudiments of a generalized Wiman-Valiron theory in the context of polymonogenic functions. In particular, we analyze the relations between different notions of growth orders and the Taylor coefficients. Our main intention is to look for generalizations of the Lindel¨of-Pringsheim theorem. In contrast to the classical holomorphic and the monogenic setting we only obtain inequality relations in the polymonogenic setting. This is due to the fact that the Almansi-Fischer decomposition of a polymonogenic function consists of different monogenic component functions where each of them can have a totally different kind of asymptotic growth behavior.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{HommelGuerlebeck, author = {Hommel, Angela and G{\"u}rlebeck, Klaus}, title = {THE RELATIONSHIP BETWEEN LINEAR ELASTICITY THEORY AND COMPLEX FUNCTION THEORY STUDIED ON THE BASIS OF FINITE DIFFERENCES}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2801}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28010}, pages = {6}, abstract = {It is well-known that the solution of the fundamental equations of linear elasticity for a homogeneous isotropic material in plane stress and strain state cases can be equivalently reduced to the solution of a biharmonic equation. The discrete version of the Theorem of Goursat is used to describe the solution of the discrete biharmonic equation by the help of two discrete holomorphic functions. In order to obtain a Taylor expansion of discrete holomorphic functions we introduce a basis of discrete polynomials which fulfill the so-called Appell property with respect to the discrete adjoint Cauchy-Riemann operator. All these steps are very important in the field of fracture mechanics, where stress and displacement fields in the neighborhood of singularities caused by cracks and notches have to be calculated with high accuracy. Using the sum representation of holomorphic functions it seems possible to reproduce the order of singularity and to determine important mechanical characteristics.}, subject = {Angewandte Informatik}, language = {en} } @article{OtholdVoss, author = {Othold, Tim and Voss, Christiane}, title = {From media anthropology to anthropomediality}, series = {Anthropological Notebooks}, journal = {Anthropological Notebooks}, doi = {10.25643/bauhaus-universitaet.3157}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170425-31573}, pages = {75 -- 82}, abstract = {Media anthropology is a new and interdisciplinary field of research with very different subjects and methods that seems to be already heavily informed by a comparatively narrow understanding of media as mass media (e.g. TV, Internet, social web, etc.). Therefore, most theories in this field, at least implicitly, employ a hierarchical and often dichotomic preconception of the two poles of media-human relations, by analysing the operationalities and ontologies of the human and the media independently from one another. This article deviates from this line of thought by advocating an expanded, symmetrical and relational understanding of the terms media and human, taking them as always already intermingled facets of a broader dynamic configuration. Starting from a consideration of the historically powerful, yet overlooked media of the so-called habitat diorama, the heuristic concept of "anthropomediality" is to be developed. Eventually, this relational approach may open up a new, interesting field for interrogation of (media-)anthropological analysis in general.}, subject = {Medien}, language = {en} } @article{MasoodKharalNasir, author = {Masood, R. and Kharal, M. K. N. and Nasir, A.R.}, title = {Is BIM Adoption Advantageous for Construction Industry of Pakistan?}, series = {Procedia Engineering}, journal = {Procedia Engineering}, doi = {10.1016/j.proeng.2014.07.021}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170425-31509}, pages = {229 -- 238}, abstract = {Lack of Information technology applications on construction projects lead to complex flow of data during project life cycle. Building Information Modeling (BIM) has gained attention in the Architectural, Engineering and Construction (AEC) industry, envisage the use of virtual n-dimensional (n-D) models to identify potential conflicts in design, construction or operational of any facility. A questionnaire has been designed to investigate perceptions regarding BIM advantages. Around 102 valid responses received from diversified stakeholders. Results showed very low BIM adoption with low level of 'Buzz'. BIM is a faster and more effective method for designing and construction management, it improves quality of the design and construction and reduces rework during construction; which came out as the top thee advantages according to the perception of AEC professionals of Pakistan.BIM has least impact on reduction of cost, time and human resources. This research is a bench mark study to understand adoption and advantageous of BIM in Pakistan Construction Industry.}, subject = {Building Information Modeling}, language = {en} } @article{AdamatzkySchubert, author = {Adamatzky, Andrew and Schubert, Theresa}, title = {Slime mold microfluidic logical gates}, series = {Materials Today}, journal = {Materials Today}, doi = {10.1016/j.mattod.2014.01.018}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170413-31168}, pages = {86 -- 91}, abstract = {We demonstrate how logical operations can be implemented in ensembles of protoplasmic tubes of acellular slime mold Physarum polycephalum. The tactile response of the protoplasmic tubes is used to actuate analogs of two- and four-input logical gates and memory devices. The slime mold tube logical gates display results of logical operations by blocking flow in mechanically stimulated tube fragments and redirecting the flow to output tube fragments. We demonstrate how XOR and NOR gates are constructed. We also exemplify circuits of hybrid gates and a memory device. The slime mold based gates are non-electronic, simple and inexpensive, and several gates can be realized simultaneously at sites where protoplasmic tubes merge.}, subject = {Physarum polycephalum}, language = {en} } @article{VoelskeGollubHagenetal., author = {V{\"o}lske, Michael and Gollub, Tim and Hagen, Matthias and Stein, Benno}, title = {A keyquery-based classification system for CORE}, series = {D-Lib Magazine}, journal = {D-Lib Magazine}, doi = {10.1045/november14-voelske}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170426-31662}, abstract = {We apply keyquery-based taxonomy composition to compute a classification system for the CORE dataset, a shared crawl of about 850,000 scientific papers. Keyquery-based taxonomy composition can be understood as a two-phase hierarchical document clustering technique that utilizes search queries as cluster labels: In a first phase, the document collection is indexed by a reference search engine, and the documents are tagged with the search queries they are relevant—for their so-called keyqueries. In a second phase, a hierarchical clustering is formed from the keyqueries within an iterative process. We use the explicit topic model ESA as document retrieval model in order to index the CORE dataset in the reference search engine. Under the ESA retrieval model, documents are represented as vectors of similarities to Wikipedia articles; a methodology proven to be advantageous for text categorization tasks. Our paper presents the generated taxonomy and reports on quantitative properties such as document coverage and processing requirements.}, subject = {Massendaten}, language = {en} } @article{Cervantes, author = {Cervantes, Juan}, title = {Ideology, neoliberalism and sustainable development}, series = {Human Geographies}, journal = {Human Geographies}, doi = {10.5719/hgeo.2013.72.25}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170418-31300}, pages = {25 -- 34}, abstract = {This paper examines the interactions between issues such as ideology, neoliberalism, institution-building and sustainable development. The central focus of the paper is to demonstrate that the neoliberalism hasn't succeeded just because it is an economic strategy which better serves the interests of the capitalist class (though it must be stressed that this fact has obviously contributed) but mainly because it has been promoted as an attractive economic strategy by respected, well organized and transnationalized institutions all around the globe, and understand the reasons behind this institutional support. After reviewing the interrelationships between the Bretton-Woods institutions and their relationship with the concepts of neoliberalism and sustainable development, the paper concludes claiming that the so-called neoliberal ideology operates behind the discourses of growth, progress and sustainability and that it is in charge of softening domination by diffusing legitimating ideas and granting concessions to subordinate forces, thus implying significations and values that transcend the possible manipulation of the world as an object.}, subject = {Neoliberalismus}, language = {en} } @techreport{Befort, author = {Befort, Marcel}, title = {Global Design : Design strategische Studie ; Status Quo der Designaktivit{\"a}ten in globalen Unternehmen}, editor = {Wolf, Brigitte}, organization = {Bergische Universit{\"a}t Wuppertal, Lehrstuhl f{\"u}r Designtheorie}, doi = {10.25643/bauhaus-universitaet.1978}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20130710-19784}, pages = {59}, abstract = {Viele Unternehmen haben es geschafft sich erfolgreich außerhalb ihres Heimatmarktes zu positionieren. Mit der Liberalisierung der M{\"a}rkte, gemeinsamen Wirtschaftsr{\"a}umen und digitaler Technologie wird dies immer einfacher. Die Herausforderungen sind nicht mehr die Landesgrenzen, W{\"a}hrungen oder unterschiedliche Stromspannungen. Es sind die kulturellen Unterschiede und erfolgreiche Mitbewerber aus der ganzen Welt. Kulturelle Unterschiede spielen eine wichtige Rolle in einem komplexen System aus technischen, wirtschaftlichen, nutzerbezogenen und {\"a}sthetischen Komponenten, die sich kontinuierlich ver{\"a}ndern. Dar{\"u}ber hinaus existiert ein komplexes System an gelernten Symbolen, die in unterschiedlichen Kulturkreisen unterschiedliche Bedeutung und Beachtung finden. Augenscheinlich stellen sich hier einige Fragen: Wie komme ich als Unternehmen an Informationen {\"u}ber diese unbekannten M{\"a}rkte, und wie passe ich mein Portfolio, meine Dienstleistungen, meine Kommunikation und meine »Touchpoints« an? Wir stellen uns zus{\"a}tzlich die Frage, ob die Designer ebenfalls in diese Prozesse involviert sind? Welche Erwartungen werden an das Design in den kommenden Jahren gestellt? Wie unterschiedlich sind die Vorgehensweisen in kleinen, mittleren und großen Unternehmen? Welche neuen Design Aktivit{\"a}ten entstehen bei diesen globalen Prozessen? Eins scheint relativ klar zu sein: Große Unternehmen investieren massiv in Gestaltung und Designkompetenz: Sie kaufen sich in Designb{\"u}ros ein, investieren in die Design Management Ausbildung ihrer Mitarbeiter und nehmen an immer mehr Designawards teil. Wir richten in dieser Studie den Fokus auf kleine, mittlere, große und sehr große Unternehmen um ihre Erfolgsmuster im »GlobalDesign « herauszuarbeiten.}, subject = {Unternehmen}, language = {de} } @inproceedings{MiroHartmannSchanzetal., author = {Miro, Shorash and Hartmann, Dietrich and Schanz, Tom and Zarev, Veselin}, title = {SYSTEM IDENTIFICATION METHODS FOR GROUND MODELS IN MECHANIZED TUNNELING}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom and Werner, Frank}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2777}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27771}, pages = {13}, abstract = {Due to the complex interactions between the ground, the driving machine, the lining tube and the built environment, the accurate assignment of in-situ system parameters for numerical simulation in mechanized tunneling is always subject to tremendous difficulties. However, the more accurate these parameters are, the more applicable the responses gained from computations will be. In particular, if the entire length of the tunnel lining is examined, then, the appropriate selection of various kinds of ground parameters is accountable for the success of a tunnel project and, more importantly, will prevent potential casualties. In this context, methods of system identification for the adaptation of numerical simulation of ground models are presented. Hereby, both deterministic and probabilistic approaches are considered for typical scenarios representing notable variations or changes in the ground model.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{Schmeikal, author = {Schmeikal, Bernd Anton}, title = {BAUHAUS ISOMETRY AND FIELDS}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom and Werner, Frank}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2785}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27859}, pages = {9}, abstract = {While integration increases by networking, segregation strides ahead too. Most of us fixate our mind on special topics. Yet we are relying on our intuition too. We are sometimes waiting for the inflow of new ideas or valuable information that we hold in high esteem, although we are not entirely conscious of its origin. We may even say the most precious intuitions are rooting in deep subconscious, collective layers of the mind. Take as a simple example the emergence of orientation in paleolithic events and its relation to the dihedral symmetry of the compass. Consider also the extension of this algebraic matter into the operational structures of the mind on the one hand and into the algebra of geometry, Clifford algebra as we use to call it today, on the other. Culture and mind, and even the individual act of creation may be connected with transient events that are subconscious and inaccessible to cognition in principle. Other events causative for our work may be merely invisible too us, though in principle they should turn out attainable. In this case we are just ignorant of the whole creative process. Sometimes we begin to use unusual tools or turn into handicraft enthusiasts. Then our small institutes turn into workshops and factories. All this is indeed joining with the Bauhaus and its spirit. We shall go together into this, and we shall present a record of this session.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{CastilloPerezCedilloDiazKravchenkoetal., author = {Castillo-P{\´e}rez, Ra{\´u}l and Cedillo - D{\´i}az, A. del C. and Kravchenko, Vladislav and Oviedo - Galdeano, H.}, title = {COMPUTATION OF THE REFLECTANCE AND TRANSMITTANCE FOR AN INHOMOGENEOUS LAYERED MEDIUM WITH TURNING POINT S USING THE WKB AND SPPS METHODS}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom and Werner, Frank}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2759}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170306-27598}, pages = {16}, abstract = {Electromagnetic wave propagation is currently present in the vast majority of situations which occur in veryday life, whether in mobile communications, DTV, satellite tracking, broadcasting, etc. Because of this the study of increasingly complex means of propagation of lectromagnetic waves has become necessary in order to optimize resources and increase the capabilities of the devices as required by the growing demand for such services. Within the electromagnetic wave propagation different parameters are considered that characterize it under various circumstances and of particular importance are the reflectance and transmittance. There are several methods or the analysis of the reflectance and transmittance such as the method of approximation by boundary condition, the plane wave expansion method (PWE), etc., but this work focuses on the WKB and SPPS methods. The implementation of the WKB method is relatively simple but is found to be relatively efficient only when working at high frequencies. The SPPS method (Spectral Parameter Powers Series) based on the theory of pseudoanalytic functions, is used to solve this problem through a new representation for solutions of Sturm Liouville equations and has recently proven to be a powerful tool to solve different boundary value and eigenvalue problems. Moreover, it has a very suitable structure for numerical implementation, which in this case took place in the Matlab software for the valuation of both conventional and turning points profiles. The comparison between the two methods allows us to obtain valuable information about their perfor mance which is useful for determining the validity and propriety of their application for solving problems where these parameters are calculated in real life applications.}, subject = {Angewandte Informatik}, language = {en} } @article{HildebrandHechtBliedtneretal., author = {Hildebrand, J{\"o}rg and Hecht, Kerstin and Bliedtner, Jens and M{\"u}ller, Hartmut}, title = {Advanced Analysis of Laser Beam Polishing of Quartz Glass Surfaces}, series = {Physics Procedia}, journal = {Physics Procedia}, doi = {10.1016/j.phpro.2012.10.039}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170418-31372}, pages = {277 -- 285}, abstract = {The laser beam is a small, flexible and fast polishing tool. With laser radiation it is possible to finish many outlines or geometries on quartz glass surfaces in the shortest possible time. It's a fact that the temperature developing while polishing determines the reachable surface smoothing and, as a negative result, causes material tensions. To find out which parameters are important for the laser polishing process and the surface roughness respectively and to estimate material tensions, temperature simulations and extensive polishing experiments took place. During these experiments starting and machining parameters were changed and temperatures were measured contact-free. The accuracy of thermal and mechanical simulation was improved in the case of advanced FE-analysis.}, subject = {Laser}, language = {en} } @inproceedings{Eriksson, author = {Eriksson, Sirkka-Liisa}, title = {MEAN VALUE PROPERTIES FOR THE WEINSTEIN EQUATION AND MODIFIED DIRAC OPERATORS}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom and Werner, Frank}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2762}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27621}, pages = {16}, abstract = {We study the Weinstein equation u on the upper half space R3+. The Weinstein equation is connected to the axially symmetric potentials. We compute solutions of the Weinstein equation depending on the hyperbolic distance and x2. These results imply the explicit mean value properties. We also compute the fundamental solution. The main tools are the hyperbolic metric and its invariance properties.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{LiuLeimbachHartmann, author = {Liu, Xiangqin and Leimbach, Robert and Hartmann, Dietrich}, title = {SYSTEM IDENTIFICATION OF A WIND TURBINE STRUCTURE USING ROBUST MODEL UPDATING STRATEGY}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom and Werner, Frank}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2774}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27744}, pages = {11}, abstract = {This paper presents a robust model updating strategy for system identification of wind turbines. To control the updating parameters and to avoid ill-conditioning, the global sensitivity analysis using the elementary effects method is conducted. The formulation of the objective function is based on M¨uller-Slany's strategy for multi-criteria functions. As a simulationbased optimization, a simulation adapter is developed to interface the simulation software ANSYS and the locally developed optimization software MOPACK. Model updating is firstly tested on the beam model of the rotor blade. The defect between the numerical model and the reference has been markedly reduced by the process of model updating. The effect of model updating becomes more pronounced in the comparison of the measured and the numerical properties of the wind turbine model. The deviations of the frequencies of the updated model are rather small. The complete comparison including the free vibration modes by the modal assurance criteria shows the excellent coincidence of the modal parameters of the updated model with the ones from the measurements. By successful implementation of the model validation via model updating, the applicability and effectiveness of the solution concept has been demonstrated.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{MusialUbyszUlatowski, author = {Musial, Michal and Ubysz, Andrzej and Ulatowski, Piotr}, title = {MODEL DESCRIBING STATIC AND DYNAMIC DISPLACEMENTS OF SILOS WALL DURING THE FLOW OF LOOSE MATERIAL}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom and Werner, Frank}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2789}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27896}, pages = {16}, abstract = {Correct evaluation of wall displacements is a key matter when designing silos. This issue is important from both the standpoint of design engineer (load-bearing capacity of structures) and end-consumer (durability of structures). Commonplace methods of silo design mainly focus on satisfying limit states of load-bearing capacity. Current standards fail to specify methods of dynamic displacements analysis. Measurements of stressacting on silo walls prove that the actual stress is sum of static and dynamic stresses. Janssen came up with differential equation describing state of static equilibrium in cross-section of a silo. By solving the equation static stress of granular solid on silo walls can be determined. Equations of motion were determined from equilibrium equations of feature objects. General solution, describing dynamic stresses was presented as parametric model. This paper presents particular integrals of differential equation, which enable analysing displacements and vibrations for different rigidities of silo walls, types of granular solid and its flow rate.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{Karaki, author = {Karaki, Ghada}, title = {DEPENDENCY OF THE INFLUENCE OF INPUT PARAMETERS OF BVI MODELS ON THE INITIAL EXCITATIONS AND SPEED RANGES}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom and Werner, Frank}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2767}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27675}, pages = {13}, abstract = {Bridge vibration due to traffic loading has been subject of extensive research in the last decades. Such studies are concerned with deriving solutions for the bridge-vehicle interaction (BVI) and analyzing the dynamic responses considering randomness of the coupled model's (BVI) input parameters and randomness of road unevenness. This study goes further to examine the effects of such randomness of input parameters and processes on the variance of dynamic responses in quantitative measures. The input parameters examined in the sensitivity analysis are, stiffness and damping of vehicle's suspension system, axle spacing, and stiffness and damping of bridge. This study also examines the effects of the initial excitation of a vehicle on the influences of the considered input parameters. Variance based sensitivity analysis is often applied to deterministic models. However, the models for the dynamic problem is a stochastic one due to the simulations of the random processes. Thus, a setting using a joint meta-model; one for the mean response and other for the dispersion of the response is developed. The joint model is developed within the framework of Generalized Linear Models (GLM). An enhancement of the GLM procedure is suggested and tested; this enhancement incorporates Moving Least Squares (MLS) approximation algorithms in the fitting of the mean component of the joint model. The sensitivity analysis is then performed on the joint-model developed for the dynamic responses caused by BVI.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{MoraisGeorgiev, author = {Morais, Joao and Georgiev, Svetlin}, title = {COMPLETE ORTHOGONAL SYSTEMS OF 3D SPHEROIDAL MONOGENICS}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom and Werner, Frank}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2778}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27785}, pages = {14}, abstract = {In this paper we review two distint complete orthogonal systems of monogenic polynomials over 3D prolate spheroids. The underlying functions take on either values in the reduced and full quaternions (identified, respectively, with R3 and R4), and are generally assumed to be nullsolutions of the well known Riesz and Moisil Th{\´e}odoresco systems in R3. This will be done in the spaces of square integrable functions over R and H. The representations of these polynomials are explicitly given. Additionally, we show that these polynomial functions play an important role in defining the Szeg{\"o} kernel function over the surface of 3D spheroids. As a concrete application, we prove the explicit expression of the monogenic Szeg{\"o} kernel function over 3D prolate spheroids.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{MusialKamińskiUbysz, author = {Musial, Michal and Kamiński, Mieczysław and Ubysz, Andrzej}, title = {DISCRETE CRACK MODEL OF BORCZ FOR CALCULATING THE DEFLECTIONS OF BENDING REINFORCED CONCRETE BEAM}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom and Werner, Frank}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2790}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27907}, pages = {11}, abstract = {In the design of the reinforced concrete beams loaded by the bending moment, it is assumed that the structure can be used at a level of load, that there are local discontinuities - cracks. Designing the element demands checking two limit states of construction, load capacity and usability. Limit states usability include also the deflection of the element. Deflections in the reinforced concrete beams with cracks are based on actual rigidity of the element. After cracking there is a local change in rigidity of the beam. The rigidity is variable in the element's length and due to the heterogeneous structure of concrete, it is not possible to clearly describe those changes. Most standards of testing methods tend to simplify the calculations and take the average value of the beam's rigidity on its entire length. The rigidity depends on the level of the maximal load of the beam. Experimental researches verify the value by inserting the coefficients into the formulas used in the theory of elasticity. The researches describe the changes in rigidity in the beam's length more precisely. The authors take into consideration the change of rigidity, depending on the level of maximum load (continuum models), or localize the changes in rigidity in the area of the cracks (discrete models). This paper presents one of the discrete models. It is distinguished by the fact that the left side of the differential equation, that depends on the rigidity, is constant, and all effects associated with the scratches are taken as the external load and placed on the right side of the equation. This allows to generalize the description. The paper presents a particular integral of the differential equation, which allow analyzing the displacement and vibration for different rigidity of the silo's walls, the flow rate and type of the flowing material.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{MusialUbysz, author = {Musial, Michal and Ubysz, Andrzej}, title = {ROTATIONAL DUCTILITY OF CRACK IN STATIC AND DYNAMIC CALCULATIONS OF REINFORCED CONCRETE BAR STRUCTURES}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom and Werner, Frank}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2781}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27813}, pages = {9}, abstract = {In this paper experimental studies and numerical analysis carried out on reinforced concrete beam are partially reported. They aimed to apply the rigid finite element method to calculations for reinforced concrete beams using discrete crack model. Hence rotational ductility resulting from crack occurrence had to be determined. A relationship for calculating it in static equilibrium was proposed. Laboratory experiments proved that dynamic ductility is considerably smaller. Therefore scaling of the empirical parameter was carried out. Consequently a formula for its value depending on reinforcement ratio was obtained.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{Simsek, author = {Simsek, Yilmaz}, title = {ON INTERPOLATION FUNCTION OF THE BERNSTEIN POLYNOMIALS}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom and Werner, Frank}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2786}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27867}, pages = {8}, abstract = {The Bernstein polynomials are used for important applications in many branches of Mathematics and the other sciences, for instance, approximation theory, probability theory, statistic theory, num- ber theory, the solution of the di\ierential equations, numerical analysis, constructing Bezier curves, q-calculus, operator theory and applications in computer graphics. The Bernstein polynomials are used to construct Bezier curves. Bezier was an engineer with the Renault car company and set out in the early 1960's to develop a curve formulation which would lend itself to shape design. Engineers may …nd it most understandable to think of Bezier curves in terms of the center of mass of a set of point masses. Therefore, in this paper, we study on generating functions and functional equations for these polynomials. By applying these functions, we investigate interpolation function and many properties of these polynomials.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{SuzukiLawrynowiczNounoetal., author = {Suzuki, Osamu and Lawrynowicz, Julian and Nouno, Kiyoharu and Nagayama, Daiki}, title = {BINARY AND TERNARY CLIFFORD ANALYSIS ON NONION ALGEBRA AND SU(3)}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom and Werner, Frank}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2788}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27880}, pages = {12}, abstract = {A concept of non-commutative Galois extension is introduced and binary and ternary extensions are chosen. Non-commutative Galois extensions of Nonion algebra and su(3) are constructed. Then ternary and binary Clifford analysis are introduced for non-commutative Galois extensions and the corresponding Dirac operators are associated.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{GonzalezCalvet, author = {Gonzalez Calvet, Ramon}, title = {NEW FOUNDATIONS FOR GEOMETRIC ALGEBRA}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom and Werner, Frank}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2764}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27644}, pages = {12}, abstract = {New foundations for geometric algebra are proposed based upon the existing isomorphisms between geometric and matrix algebras. Each geometric algebra always has a faithful real matrix representation with a periodicity of 8. On the other hand, each matrix algebra is always embedded in a geometric algebra of a convenient dimension. The geometric product is also isomorphic to the matrix product, and many vector transformations such as rotations, axial symmetries and Lorentz transformations can be written in a form isomorphic to a similarity transformation of matrices. We collect the idea that Dirac applied to develop the relativistic electron equation when he took a basis of matrices for the geometric algebra instead of a basis of geometric vectors. Of course, this way of understanding the geometric algebra requires new definitions: the geometric vector space is defined as the algebraic subspace that generates the rest of the matrix algebra by addition and multiplication; isometries are simply defined as the similarity transformations of matrices as shown above, and finally the norm of any element of the geometric algebra is defined as the nth root of the determinant of its representative matrix of order n×n. The main idea of this proposal is an arithmetic point of view consisting of reversing the roles of matrix and geometric algebras in the sense that geometric algebra is a way of accessing, working and understanding the most fundamental conception of matrix algebra as the algebra of transformations of multilinear quantities.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{Hitzer, author = {Hitzer, Eckhard}, title = {THE CLIFFORD FOURIER TRANSFORM IN REAL CLIFFORD ALGEBRAS}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom and Werner, Frank}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2765}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27652}, pages = {11}, abstract = {We briefly review and use the recent comprehensive research on the manifolds of square roots of -1 in real Clifford geometric algebras Cl(p,q) in order to construct the Clifford Fourier transform. Basically in the kernel of the complex Fourier transform the complex imaginary unit j is replaced by a square root of -1 in Cl(p,q). The Clifford Fourier transform (CFT) thus obtained generalizes previously known and applied CFTs, which replaced the complex imaginary unit j only by blades (usually pseudoscalars) squaring to -1. A major advantage of real Clifford algebra CFTs is their completely real geometric interpretation. We study (left and right) linearity of the CFT for constant multivector coefficients in Cl(p,q), translation (x-shift) and modulation (w -shift) properties, and signal dilations. We show an inversion theorem. We establish the CFT of vector differentials, partial derivatives, vector derivatives and spatial moments of the signal. We also derive Plancherel and Parseval identities as well as a general convolution theorem.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{Krausshar, author = {Kraußhar, Rolf S{\"o}ren}, title = {SOME HARMONIC ANALYSIS ON M{\"O}BIUS STRIP DOMAINS AND THE KLEIN BOTTLE IN Rn}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom and Werner, Frank}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2769}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27692}, pages = {10}, abstract = {The aim of this paper we discuss explicit series constructions for the fundamental solution of the Helmholtz operator on some important examples non-orientable conformally at manifolds. In the context of this paper we focus on higher dimensional generalizations of the Klein bottle which in turn generalize higher dimensional M{\"o}bius strips that we discussed in preceding works. We discuss some basic properties of pinor valued solutions to the Helmholtz equation on these manifolds.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{MalonekFalcaoCruz, author = {Malonek, Helmuth Robert and Falc{\~a}o, M. Irene and Cruz, Carla}, title = {TOTALLY REGULAR VARIABLES AND APPELL SEQUENCES IN HYPERCOMPLEX FUNCTION THEORY}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom and Werner, Frank}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2775}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27751}, pages = {5}, abstract = {The aim of our contribution is to clarify the relation between totally regular variables and Appell sequences of hypercomplex holomorphic polynomials (sometimes simply called monogenic power-like functions) in Hypercomplex Function Theory. After their introduction in 2006 by two of the authors of this note on the occasion of the 17th IKM, the latter have been subject of investigations by different authors with different methods and in various contexts. The former concept, introduced by R. Delanghe in 1970 and later also studied by K. G{\"u}rlebeck in 1982 for the case of quaternions, has some obvious relationship with the latter, since it describes a set of linear hypercomplex holomorphic functions all power of which are also hypercomplex holomorphic. Due to the non-commutative nature of the underlying Clifford algebra, being totally regular variables or Appell sequences are not trivial properties as it is for the integer powers of the complex variable z=x+ iy. Simple examples show also, that not every totally regular variable and its powers form an Appell sequence and vice versa. Under some very natural normalization condition the set of all para-vector valued totally regular variables which are also Appell sequences will completely be characterized. In some sense the result can also be considered as an answer to a remark of K. Habetha in chapter 16: Function theory in algebras of the collection Complex analysis. Methods, trends, and applications, Akademie-Verlag Berlin, (Eds. E. Lanckau and W. Tutschke) 225-237 (1983) on the use of exact copies of several complex variables for the power series representation of any hypercomplex holomorphic function.}, subject = {Angewandte Informatik}, language = {en} }