@article{44328, abstract = {{In this paper, we study equivalences between the categories of quasi–coherent sheaves on non–commutative noetherian schemes. In particular, we give a new proof of Căldăraru's conjecture about Morita equivalences of Azumaya algebras on noetherian schemes. Moreover, we derive necessary and sufficient condition for two reduced non–commutative curves to be Morita equivalent.}}, author = {{Burban, Igor and Drozd, Yu.}}, journal = {{Advances in Mathematics}}, title = {{{Morita theory for non-commutative noetherian schemes}}}, doi = {{10.1016/j.aim.2022.108273}}, volume = {{399}}, year = {{2022}}, } @unpublished{44537, author = {{Burban, Igor and Alfes-Neumann, C. and Raum, M.}}, title = {{{A classification of polyharmonic Maa forms via quiver representations}}}, year = {{2022}}, } @article{44327, author = {{Burban, Igor and Peruzzi, A.}}, journal = {{Journal of Geometry and Physics}}, title = {{{On elliptic solutions of the associative Yang-Baxter equation}}}, volume = {{176}}, year = {{2022}}, } @article{44624, author = {{Faulwasser, Timm and Flaßkamp, Kathrin and Ober-Blöbaum, Sina and Schaller, Manuel and Worthmann, Karl}}, journal = {{Mathematics of Control, Signals, and Systems}}, pages = {{759--788}}, publisher = {{Springer}}, title = {{{Manifold turnpikes, trims, and symmetries}}}, volume = {{34}}, year = {{2022}}, } @inproceedings{44838, author = {{Yigitbas, Enes}}, publisher = {{die hochschullehre Jahrgang 8/2022}}, title = {{{Einsatz und Evaluation von Virtual Reality-Technologie in einem Informatik-Seminar}}}, year = {{2022}}, } @article{33741, abstract = {{There are many concepts of signed graph coloring which are defined by assigning colors to the vertices of the graphs. These concepts usually differ in the number of self-inverse colors used. We introduce a unifying concept for this kind of coloring by assigning elements from symmetric sets to the vertices of the signed graphs. In the first part of the paper, we study colorings with elements from symmetric sets where the number of self-inverse elements is fixed. We prove a Brooks’-type theorem and upper bounds for the corresponding chromatic numbers in terms of the chromatic number of the underlying graph. These results are used in the second part where we introduce the symset-chromatic number χsym(G,σ) of a signed graph (G,σ). We show that the symset-chromatic number gives the minimum partition of a signed graph into independent sets and non-bipartite antibalanced subgraphs. In particular, χsym(G,σ)≤χ(G). In the final section we show that these colorings can also be formalized as DP-colorings.}}, author = {{Cappello, Chiara and Steffen, Eckhard}}, issn = {{0218-0006}}, journal = {{Annals of Combinatorics}}, keywords = {{Discrete Mathematics and Combinatorics}}, publisher = {{Springer Science and Business Media LLC}}, title = {{{Symmetric Set Coloring of Signed Graphs}}}, doi = {{10.1007/s00026-022-00593-4}}, year = {{2022}}, } @article{33950, author = {{Cappello, Chiara and Steffen, Eckhard}}, issn = {{0166-218X}}, journal = {{Discrete Applied Mathematics}}, keywords = {{Applied Mathematics, Discrete Mathematics and Combinatorics}}, pages = {{183--193}}, publisher = {{Elsevier BV}}, title = {{{Frustration-critical signed graphs}}}, doi = {{10.1016/j.dam.2022.08.010}}, volume = {{322}}, year = {{2022}}, } @inproceedings{34293, author = {{Wolters, Dennis and Engels, Gregor}}, booktitle = {{ICSOB'22 Companion Proceedings}}, publisher = {{CEUR}}, title = {{{Model-driven Design and Management of Professional Education Programmes}}}, volume = {{3316}}, year = {{2022}}, } @misc{45242, author = {{N., N.}}, title = {{{A Scalable and Extensible Architecture for a Crowd-Based Prototype Validation Platform}}}, year = {{2022}}, } @misc{45241, author = {{N., N.}}, title = {{{Conception and Implementation of a Situation-specific Design Thinking Tool}}}, year = {{2022}}, } @misc{45255, author = {{Anonymous, Anonymous}}, title = {{{ Comparison of Open Source Software in Quantum Computing from the Perspective of Software Development}}}, year = {{2022}}, } @misc{45256, author = {{Anonymous, Anonymous}}, title = {{{A Detailed Survey and Comparison of the Selected Homomorphic Encryption Libraries}}}, year = {{2022}}, } @misc{45257, author = {{Beckmann, Marvin}}, title = {{{Analysis of an Interactive Lattice Based Aggregated Signature Scheme}}}, year = {{2022}}, } @inproceedings{34238, abstract = {{A monolithically integrated electronic-photonic Mach-Zehnder modulator is presented, incorporating electronic linear drivers along photonic components. An electro-optical 3 dB & 6 dB bandwidth of 24 GHz and 34 GHz respectively was measured. The on-chip drivers decrease the V π by a factor of 10.}}, author = {{Kress, Christian and Schwabe, Tobias and Rhee, Hanjo and Kerman, Sarp and Scheytt, J. Christoph}}, booktitle = {{Optica Advanced Photonics Congress 2022}}, publisher = {{Optica Publishing Group}}, title = {{{Broadband Mach-Zehnder Modulator with Linear Driver in Electronic-Photonic Co-Integrated Platform}}}, doi = {{10.1364/iprsn.2022.im4c.1}}, year = {{2022}}, } @inproceedings{45679, author = {{Bruns, Julia and Reuter, D.}}, booktitle = {{Beiträge zum Mathematikunterricht 2022}}, publisher = {{WTM-Verlag}}, title = {{{„Ich hab als Erstes die angeguckt“ – Muster- und Strukturerkennung mit Eye-Tracking besser verstehen?}}}, year = {{2022}}, } @inproceedings{45678, author = {{Bruns, Julia and Hagena, M. and Gasteiger, H.}}, booktitle = {{Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)}}, editor = {{Hodgen, J. and Geraniou, E. and Bolondi, G. and Ferretti, F.}}, location = {{Free University of Bozen-Bolzano and ERME}}, title = {{{Effects of Facilitator Professional Development on Teachers’ Learning – An Intervention Study in the Context of Early Mathematics Education}}}, year = {{2022}}, } @article{45677, author = {{Bruns, Julia and Langer, W. and Erhorn, J.}}, journal = {{German Journal of Exercise and Sport Research}}, number = {{3}}, pages = {{386–397}}, title = {{{Entwicklung und Validierung eines videobasierten Testinstruments zur Erfassung des Noticing mit dem Fokus auf Anerkennungsprozesse im inklusiven Sportunterricht}}}, doi = {{10.1007/s12662-022-00807-0}}, volume = {{52}}, year = {{2022}}, } @article{34820, abstract = {{The construct of noticing is considered to be of crucial importance for professional action of (prospective) physical education (PE) teachers in the context of (inclusive) PE. In order to implement the demands of inclusive PE teaching, noticingwith regard to processes of recognition proves to be particularly significant. Due to the relevance of physicality, the design of recognition relationships that encourage pupils' development results in specific requirements for the selective attention and the theory-based interpretation of processes of recognition and disregard in complex teaching situations. This facet of competence has hardly been studied so far, partly due to the lack of instruments for standardised assessment of this construct. In the context of this paper, the development and validation of a standardised, video vignette-based test instrument for the measurement of noticingwith regard to processes of recognition of prospective PE teachers is presented. The validation focuses on the content of the test and the internal structure of the instrument as well as on correlations with related constructs in terms of content. The results from three consecutive validation studies provide indications of the reliability and validity of the test score interpretation of the instrument ViProQiS_A. The findings so far indicate that the standardised measurement of noticingwith regard to processes of recognitionin inclusive PE could be realized on the basis of the test instrument developed here.}}, author = {{Langer, Wiebke and Bruns, Julia and Erhorn, Jan}}, issn = {{2509-3150}}, journal = {{German Journal of Exercise and Sport Research}}, keywords = {{Physical education teacher education, Competence modelling and, measurement, Inclusive physical education, Video-based items, Noticing}}, number = {{3}}, pages = {{386--397}}, publisher = {{Springer}}, title = {{{Development and validation of a video-based test instrument to measure noticing with regard to processes ofrecognition in inclusive physical education}}}, doi = {{10.1007/s12662-022-00807-0}}, volume = {{52}}, year = {{2022}}, } @article{34819, abstract = {{Teachers expect facilitators to have own teaching experience as a teacher in order to be able to carry out effective teacher professional development programs. As part of the project EmMa(M), it is investigated, to which extent the teaching experience of facilitators influences the development of early childhood teachers' (n = 83) mathematical pedagogical content knowledge (MPCK) and early childhood teachers' enjoyment of mathematics in the context of a teacher professional development program. It turns out that the teaching experience of the facilitators has no influence on the development of early childhood teachers' MPCK, but favors the development of early childhood teachers' enjoyment of mathematics. Controlling for this increased enjoyment an influence of teaching experience on the development of early childhood teachers' MPCK emerges, but in favor of the participating facilitators who have no teaching experience but have a university degree.}}, author = {{Hagena, Maike and Bruns, Julia and Gasteiger, Hedwig}}, issn = {{1862-5215}}, journal = {{Zeitschrift für Erziehungswissenschaft}}, keywords = {{Facilitator professional development, Early childhood teachers, Teaching, experience, Early mathematics education}}, number = {{6}}, pages = {{1455–1480}}, publisher = {{Springer Vieweg-springer Fachmedien Wiesbaden Gmbh}}, title = {{{Einfluss der Berufserfahrung von Multiplikatorinnen und Multiplikatoren auf die Wirksamkeit von Fortbildungsmaßnahmen zur frühen mathematischen Bildung. Zeitschrift Für Erziehungswissenschaft}}}, doi = {{10.1007/s11618-022-01122-y}}, volume = {{25}}, year = {{2022}}, } @inbook{36472, author = {{Reuter, Dinah and Bruns, Julia}}, booktitle = {{Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik}}, isbn = {{9783662632130}}, publisher = {{Springer Berlin Heidelberg}}, title = {{{Muster- und Strukturerkennungsprozesse bei potenziell mathematisch begabten Grundschulkindern untersuchen – Das Potenzial von Eye-Tracking und retrospektivem Interview im Vergleich}}}, doi = {{10.1007/978-3-662-63214-7_3}}, year = {{2022}}, }