@inproceedings{Bernstein2003, author = {Bernstein, Swanhild}, title = {Lippmann-Schwinger's integral equation for quaternionic Dirac operators : Integral Representations for Solutions of Quaternionic Dirac-type equations}, doi = {10.25643/bauhaus-universitaet.277}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-2772}, year = {2003}, abstract = {Maxwell's equations can be rewritten in terms of a Dirac operator D+a. The advantage is that in this setting Maxwell's equations are treated as a system of first order differential equations. To ensure the uniqueness of a non-homogeneous differential equation in the whole space additional conditions are needed.}, subject = {Quaternion}, language = {en} } @article{Hering1997, author = {Hering, F.}, title = {Penrose-Pflasterungen in der Architektur - die k{\"u}nstlerische Umsetzung eines mathematischen Modells im Gemeindeverwaltungs-Zentrum von B{\"u}tgenbach, Belgien}, doi = {10.25643/bauhaus-universitaet.524}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-5247}, year = {1997}, abstract = {Der englische Physiker und Mathematiker Roger Penrose hat eine mathematische Pflasterung entdeckt, deren Formenreichtum neue Impulse in der Architektur setzen kann. In der Gemeinde B{\"u}tgenbach im Hohen Venn, Belgien, wurde das Verwaltungszentrum durch den Essener Architekten Ernst Burghartz mit mehrereren Penrose-Pflasterungen versehen. Diese beruhen auf einem Computer-Programm, welches der Vortragende zusammen mit Dr. Frank Martini entwickelt hat. Herr Burghartz hat jedoch diesen Vorentwurf nach seinen k{\"u}nstlerischen Vorstellungen abgewandelt.}, subject = {Anwendung}, language = {de} } @article{Kaiser1997, author = {Kaiser, Wolfgang}, title = {Die unbegrenzten Einsatzm{\"o}glichkeiten von 3D-Modellierern}, doi = {10.25643/bauhaus-universitaet.525}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-5257}, year = {1997}, abstract = {Der Funktionsumfang von 3D-Modellierern und die Leistung allgemein zur Verf{\"u}gung stehender Rechnersysteme gestatten die Modellierung beliebiger Objekte in jeder nur denkbaren Fachdisziplin. Das potentielle Leistungsverm{\"o}gen von 3D-Modellierern sollte Anreiz sein, sie so allt{\"a}glich einzusetzen, wie die etablierten Standardapplikationen. Die im Vortrag gezeigten Modelle umfassen ein kleines Spektrum der m{\"o}glichen Anwendungsgebiete. Weder vom (Daten)Umfang noch von ihrem Kompliziertheitsgrad stellen sie etwas Besonderes dar. Sie sollen nur das Interesse f{\"u}r einen allt{\"a}glichen Einsatz von 3D-Modellierern wecken und eventuell vorhandenen Einsatzschwellen abbauen helfen. Die im Vortrag gezeigten Bildfolgen sind unter http://www.uni-weimar.de/animationen zu finden.}, subject = {Dreidimensionales Modell}, language = {de} } @inproceedings{Malonek2003, author = {Malonek, Helmuth Robert}, title = {Quaternions in Applied Sciences}, doi = {10.25643/bauhaus-universitaet.13}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-136}, year = {2003}, abstract = {After more than hundred years of arguments in favour and against quaternions, of exciting odysseys with new insights as well as disillusions about their usefulness the mathematical world saw in the last 40 years a burst in the application of quaternions and its generalizations in almost all disciplines that are dealing with problems in more than two dimensions. Our aim is to sketch some ideas - necessarily in a very concise and far from being exhaustive manner - which contributed to the picture of the recent development. With the help of some historical reminiscences we firstly try to draw attention to quaternions as a special case of Clifford Algebras which play the role of a unifying language in the Babylon of several different mathematical languages. Secondly, we refer to the use of quaternions as a tool for modelling problems and at the same time for simplifying the algebraic calculus in almost all applied sciences. Finally, we intend to show that quaternions in combination with classical and modern analytic methods are a powerful tool for solving concrete problems thereby giving origin to the development of Quaternionic Analysis and, more general, of Clifford Analysis.}, subject = {Quaternion}, language = {de} } @article{TatliLucks, author = {Tatli, Emin Islam and Lucks, Stefan}, title = {Mobile Identity Management Revisited}, series = {Electronic Notes in Theoretical Computer Science}, journal = {Electronic Notes in Theoretical Computer Science}, doi = {10.1016/j.entcs.2009.07.044}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170426-31640}, pages = {125 -- 137}, abstract = {Identity management provides PET (privacy enhancing technology) tools for users to control privacy of their personal data. With the support of mobile location determination techniques based on GPS, WLAN, Bluetooth, etc., context-aware and location-aware mobile applications (e.g. restaurant finder, friend finder, indoor and outdoor navigation, etc.) have gained quite big interest in the business and IT world. Considering sensitive static personal information (e.g. name, address, phone number, etc.) and also dynamic personal information (e.g. current location, velocity in car, current status, etc.), mobile identity management is required to help mobile users to safeguard their personal data. In this paper, we evaluate certain required aspects and features (e.g. context-to-context dependence and relation, blurring in levels, trust management with p3p integration, extended privacy preferences, etc.) of mobile identity management}, subject = {Privatsph{\"a}re}, language = {en} }