@misc{SchaefleLuxNeubert2024, author = {Sch{\"a}fle, Claudia and Lux, Christine and Neubert, Julia}, title = {Classroom observation in SCALE-UP settings - first results}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:861-opus4-32456}, year = {2024}, abstract = {SCALE-UP (Student-Centered Active Learning Environment for Upside-down Pedagogies) is a pedagogic approach to foster active learning, originally developed for undergraduate physics courses (Beichner et al., 2007). Instead of receiving lectures in SCALE1UP students work actively together in small groups, mostly at round tables and are guided by teaching staff. This concept is implemented at Rosenheim University of Applied Sciences, Germany, in several classes of physics and mathematics for engineering students. Classroom observations have been carried out in summer term 2023and winter term 2023/24 in order to investigate student learning in the SCALE-UP setting. The observations are based on ELCOT-3, the Engineering Learning Classroom Observation Tool (Sanders et al., 2018). An observation includes the overt student behavior in combination with the students' output. The data have been analyzed with respect to the ICAP-framework (Chi\&Wylie, 2014), where the different observed activities have been assigned to Interactive, Constructive, Active, and Passive mode. In this contribution we present examples on how students interact with the offered material, that means in which ICAP-modes students work with different learning activities in the SCALE-UP setting. Moreover, we show that in all observed courses students have been learning a substantial part of class time in interactive and constructive mode.}, language = {en} } @misc{Kellner2024, author = {Kellner, Robert}, title = {Comparison of Synchronous and Asynchronous Teaching Units in a HyFlex Physics Course}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:861-opus4-32449}, year = {2024}, abstract = {The COVID-19 pandemic has accelerated the significance of online teaching, leading to greater demand for flexible learning options. The HyFlex model meets those demands, as it provides a combination of synchronous in-person and asynchronous online classes. A study aiming at measuring whether a specific teaching unit leads to equivalent learning outcomes for both modalities is presented. Participants were tested for perceived learning and actual learning.}, language = {en} } @misc{Timpte2017, author = {Timpte, Aline}, title = {Vibration reduction indices of cross laminated timber structures}, editor = {Hochschule Rosenheim,}, organization = {Technische Hochschule Rosenheim}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:861-opus4-32597}, pages = {80}, year = {2017}, abstract = {For a prediction of the acoustical performance of solid wood constructions according to EN 12354 the vibration reduction index Kij is needed. The vibration reduction index Kij can be determined from the direction-averaged junction velocity level difference and the structural reverberation time. Both quantities have to be measured according to EN ISO 10848. Alternatively, in prEN ISO 12354-1:2016 a first proposal to derive the vibration reduction index for T- or cross-junctions is mentioned. Nevertheless, for a reliable prediction of the sound transmission across junctions of Cross Laminated Timber (CLT) further research results and data are required. This paper documents frequency-dependent vibration reduction indices of L-, T- and cross-junctions measured by six international institutes. This documentation is part of the master's thesis "Junctions of solid timber constructions - Construction details, acoustical parameters, sound insulation prediction" (in German: Stoßstellen im Massivholzbau - Konstruktionen, akustische Kenngr{\"o}ßen, Schallschutzprognose) at the Technical University Berlin in cooperation with the University of Applied Sciences Rosenheim.}, language = {en} } @unpublished{Helbig2010, author = {Helbig, Michael}, title = {On the presentation of pointed Hopf algebras}, doi = {10.48550/arXiv.1003.5879}, pages = {1 -- 13}, year = {2010}, abstract = {We give a presentation in terms of generators and relations of Hopf algebras generated by skew-primitive elements and abelian group of group-like elements with action given via characters. This class of pointed Hopf algebras has shown great importance in the classification theory and can be seen as generalized quantum groups. As a consequence we get an analog presentation of Nichols algebras of diagonal type.}, language = {en} } @phdthesis{Helbig2009, author = {Helbig, Michael}, title = {Lifting of Nichols Algebras}, doi = {10.5282/edoc.10378}, school = {Technische Hochschule Rosenheim}, pages = {107}, year = {2009}, abstract = {Nichols algebras are a fundamental building block of pointed Hopf algebras. Part of the classi cation program of nite-dimensional pointed Hopf algebras with the lifting method of Andruskiewitsch and Schneider [6] is the determination of the liftings, i.e., all possible deformations of a given Nichols algebra. The classi cation was carried out in this way in [11] when the group of group-like elements is abelian and the prime divisors of the order of the group are > 7. In this case the appearing Nichols algebras are of Cartan type. Based on recent work of Heckenberger about diagonal Nichols algebras [29, 28, 27] we compute explicitly the liftings of some Nichols algebras not treated in [11]; namely we lift - all Nichols algebras with Cartan matrix of type A2 (Theorem 6.3.3), - some Nichols algebras with Cartan matrix of type B2 (Theorem 6.4.3), and - some Nichols algebras of two Weyl equivalence classes of non-standard type (Theorem 6.5.3), giving new classes of nite-dimensional pointed Hopf algebras. Crucial is the knowledge of a good presentation of the Nichols algebra and its liftings: We want to have an explicit description in terms of generators and (non-redundant) relations, and a basis; this requires new ideas and methods that generalize those in [11]. In this spirit, we describe Hopf algebras generated by skew-primitive elements and an abelian group with action given via characters (including Nichols algebras and their liftings) in Theorem 5.4.1. The relations form a Grobner basis and are given by a combinatorial property involving the theory of Lyndon words. Furthermore, in Theorem 7.3.1 we give a necessary and su cient criterion to check whether a given set of iterated q-commutators establishes a restricted PBW basis for a given realization of the relations. Also with the help of this criterion we determine the redundant relations in the examined Nichols algebras and their liftings.}, language = {en} } @book{Helbig2009, author = {Helbig, Michael}, title = {Lifting of Nichols Algebras - A Contribution to the Classification of Pointed Hopf Algebras}, publisher = {S{\"u}dwestdeutscher Verlag f{\"u}r Hochschulschriften}, address = {Saarbr{\"u}cken}, isbn = {978-3-8381-1084-4}, publisher = {Technische Hochschule Rosenheim}, pages = {112}, year = {2009}, abstract = {Nichols algebras are a fundamental building block of pointed Hopf algebras. Part of the classification program of finite-dimensional pointed Hopf algebras with the lifting method of Andruskiewitsch and Schneider is the determination of the liftings, i.e., all possible deformations of a given Nichols algebra. The classification was carried out in this way in several special cases when the appearing Nichols algebras are of Cartan type. We compute explicitly the liftings of some Nichols algebras not of Cartan type or of Cartan type without restrictions on the group order. These build up new classes of finite-dimensional pointed Hopf algebras. Furthermore, we give a necessary and sufficient PBW basis criterion for a class of pointed Hopf algebras and present them in terms of generators and relations. These Hopf algebras can be seen as generalized Quantum groups.}, language = {en} } @unpublished{Helbig2010, author = {Helbig, Michael}, title = {A PBW basis criterion for pointed Hopf algebras}, doi = {10.48550/arxiv.1011.0140}, pages = {1 -- 33}, year = {2010}, abstract = {We give a necessary and sufficient PBW basis criterion for Hopf algebras generated by skew-primitive elements and abelian group of group-like elements with action given via characters. This class of pointed Hopf algebras has shown great importance in the classification theory and can be seen as generalized quantum groups. We apply the criterion to classical examples and liftings of Nichols algebras which were determined in arxiv.org:1003.5882.}, language = {en} } @misc{HelbigSeliger2025, author = {Helbig, Michael and Seliger, Norbert}, title = {Combinatorics of Inductance States in Reconfigurable Air Coils}, series = {Proceedings 2nd International Conference on Recent Advances in Mathematics and Informatics (ICRAMI'25)}, journal = {Proceedings 2nd International Conference on Recent Advances in Mathematics and Informatics (ICRAMI'25)}, isbn = {978-9909-00-770-9}, pages = {8}, year = {2025}, abstract = {We propose a group theory based mathematical model for unambiguous inductance states of a reconfigurable air coil inductor utilizing elastic snapping of wire segments. Vertical (axial) and horizontal winding symmetries under group actions reveal distinguishable tuning regions and individual variation states therein. The model is applied to coils of prismatic (cylinder like) and truncated pyramidal (conical like) shape with edges forming a regular polygon as basis, and verified by numerical magnet field simulation.}, language = {en} } @article{Kellner2024, author = {Kellner, Robert}, title = {Making Effective Videos and Live Online Lectures Quickly with a Live Composite Format}, series = {International Journal of Innovation in Science and Mathematics Education (IJISME)}, volume = {2023}, journal = {International Journal of Innovation in Science and Mathematics Education (IJISME)}, number = {Vol. 31 No. 5}, publisher = {University of Sydney}, doi = {10.30722/IJISME.31.05.003}, pages = {29 -- 39}, year = {2024}, abstract = {Instructional videos are the dominant mode of content delivery in higher education. They can be an effective tool for delivering educational content, providing flexibility in time and location and improving students' understanding of the material. The effectiveness of such videos may be enhanced by applying principles for multimedia design, which are based on a cognitive theory of multimedia learning. One way to adhere to those principles is by showing the instructor together with additional visuals on screen. Some studies suggest that this may have a positive effect on student learning and overall performance. The combination of the instructor and other visuals is usually done in post-production editing, which can be a time-consuming process. In this paper, a live composition video format is proposed, where the instructor is integrated into the presentation during recording. Using this approach, it is possible for the instructor to interact with added visuals directly, requiring little to no post-production. Furthermore, this method can also be used to enrich and increase the efficacy of synchronous live online lectures.}, language = {en} } @inproceedings{KrommesHuberPschereretal.2025, author = {Krommes, Sandra and Huber, Gretel and Pscherer, Theresa and Nemeth, Isabell}, title = {Circular economy in life cycle costing: a literature review in the construction sector}, series = {Journal of Physics: Conference Series}, booktitle = {Journal of Physics: Conference Series}, publisher = {IOP Science}, doi = {10.1088/1742-6596/3140/13/132012}, pages = {1 -- 7}, year = {2025}, abstract = {Circular economy (CE) has become important in reducing the environmental impact of the construction sector. For the transformation from linear to CE, decision support tools and methods are needed to assess and promote CE for constructions. With regard to sustainable financial decisions, life cycle costing (LCC) is the preferred method. However, the LCC approaches and their application in CE research differ. Based on a systematic literature review, the relevance of refurbishment in operation, reuse, recycling and disposal at end-of-life (EoL) in LCC is assessed. As a result, LCC has gained relevance in the construction sector, but CE plays a subordinate role in LCC applications. Costs or benefits of CE are often neglected. However, some research have shown that refurbishment as well as reuse and recycling can outweigh higher initial cost over lifetime. The internalisation of environmental and social impacts or even benefits are also rare. In particular, there is a lack of research on how to internalise the environmental benefits of refurbishment, reuse and recycling or how to effectively incentivise higher CE efforts in LCC in order to encourage decision-making in construction towards CE.}, language = {en} }