Department Angewandte Mathematik und Physik
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After a discussion about the possibilities and status of augmented reality in education, a good
practice example of an augmented reality application is presented. This case study examines the
use of an augmented reality app in higher education to support abstract STEM content, such as
vectors. Based on this example, the implementation of such apps in didactic concepts and self -
directed learning will be discussed. Furthermore, aspects of integration into digital learning and
teaching will be addressed.
Matter-wave interference and deflection of tripeptides decorated with fluorinated alkyl chains
(2020)
A permutation can be locally classified according to the four local types: peaks, valleys, double rises and double falls. The corresponding classification of binary increasing trees uses four different types of nodes. Flajolet demonstrated the continued fraction representation of the generating function of local types, using a classical bijection between permutations, binary increasing trees, and suitably defined path diagrams induced by Motzkin paths.
The aim of this article is to extend the notion of local types from permutations to k-Stirling permutations (also known as k-multipermutations). We establish a bijection of these local types to node types of (k+1)-ary increasing trees. We present a branched continued fraction representation of the generating function of these local types through a bijection with path diagrams induced by Łukasiewicz paths, generalizing the results from permutations to arbitrary k-Stirling permutations.
We further show that the generating function of ordinary Stirling permutation has at least three branched continued fraction representations, using correspondences between non-standard increasing trees, k-Stirling permutations and path diagrams.
Stellar evolution models with entropy-calibrated mixing-length parameter: application to red giants
(2021)
Einführung in Mathematica
(2018)