@inbook{35681, author = {{Liebendörfer, Michael and Büdenbender-Kuklinski, Christiane and Lankeit, Elisa and Schürmann, Mirko and Biehler, Rolf and Schaper, Niclas}}, booktitle = {{Practice-Oriented Research in Tertiary Mathematics Education}}, isbn = {{9783031141744}}, issn = {{1869-4918}}, pages = {{91--117}}, publisher = {{Springer International Publishing}}, title = {{{Framing Goals of Mathematics Support Measures}}}, doi = {{10.1007/978-3-031-14175-1_5}}, year = {{2023}}, } @book{37469, editor = {{Biehler, Rolf and Liebendörfer, Michael and Gueudet, Ghislaine and Rasmussen, Chris and Winsløw, Carl}}, isbn = {{9783031141744}}, issn = {{1869-4918}}, publisher = {{Springer International Publishing}}, title = {{{Practice-Oriented Research in Tertiary Mathematics Education}}}, doi = {{10.1007/978-3-031-14175-1}}, year = {{2023}}, } @article{36294, author = {{Brennecken, Dominik and Rösler, Margit}}, journal = {{Transaction of the American Mathematical Society}}, publisher = {{ American Mathematical Society}}, title = {{{The Dunkl-Laplace transform and Macdonald’s hypergeometric series}}}, doi = {{10.1090/tran/8860}}, year = {{2023}}, } @article{34814, author = {{Hanusch, Maximilian}}, issn = {{0008-414X}}, journal = {{Canadian Journal of Mathematics}}, keywords = {{extension of differentiable maps}}, number = {{1}}, pages = {{170--201}}, publisher = {{Canadian Mathematical Society}}, title = {{{A $C^k$-seeley-extension-theorem for Bastiani’s differential calculus}}}, doi = {{10.4153/s0008414x21000596}}, volume = {{75}}, year = {{2023}}, } @article{27426, abstract = {{Regularization is used in many different areas of optimization when solutions are sought which not only minimize a given function, but also possess a certain degree of regularity. Popular applications are image denoising, sparse regression and machine learning. Since the choice of the regularization parameter is crucial but often difficult, path-following methods are used to approximate the entire regularization path, i.e., the set of all possible solutions for all regularization parameters. Due to their nature, the development of these methods requires structural results about the regularization path. The goal of this article is to derive these results for the case of a smooth objective function which is penalized by a piecewise differentiable regularization term. We do this by treating regularization as a multiobjective optimization problem. Our results suggest that even in this general case, the regularization path is piecewise smooth. Moreover, our theory allows for a classification of the nonsmooth features that occur in between smooth parts. This is demonstrated in two applications, namely support-vector machines and exact penalty methods.}}, author = {{Gebken, Bennet and Bieker, Katharina and Peitz, Sebastian}}, journal = {{Journal of Global Optimization}}, number = {{3}}, pages = {{709--741}}, title = {{{On the structure of regularization paths for piecewise differentiable regularization terms}}}, doi = {{10.1007/s10898-022-01223-2}}, volume = {{85}}, year = {{2023}}, } @inproceedings{31849, author = {{Hoffmann, Max and Biehler, Rolf}}, booktitle = {{Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022)}}, editor = {{Trigueros, Marı́a and Barquero, Berta and Hochmuth, Reinhard and Peters, Jana}}, keywords = {{Teaching and learning of specific topics in university mathematics, Transition to, across and from university mathematics, Student Teachers, Geometry, Congruence, Double Discontinuity.}}, publisher = {{University of Hannover and INDRUM.}}, title = {{{Student Teachers ’ Knowledge of Congruence before a University Course on Geometry}}}, year = {{2023}}, } @inproceedings{43097, author = {{Florensa, Ignasio and Hoffmann, Max and Romo Vázquez, Avenilde and Zandieh, Michelle and Martínez-Planell, Rafael}}, booktitle = {{Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022)}}, editor = {{Trigueros, Marı́a and Barquero, Berta and Hochmuth, Reinhard and Peters, Jana}}, title = {{{Innovations in university teaching based on mathematic education research}}}, year = {{2023}}, } @article{43504, author = {{Biehler, Rolf and Liebendörfer, Michael and Schmitz, A.}}, journal = {{Mitteilungen der Gesellschaft für Didaktik der Mathematik}}, pages = {{8--12}}, title = {{{Lernvideos und ihre Erstellung - Das Projekt studiVEMINTvideos}}}, volume = {{114}}, year = {{2023}}, } @article{43105, author = {{Black, Tobias and Fuest, Mario and Lankeit, Johannes and Mizukami, Masaaki}}, issn = {{1468-1218}}, journal = {{Nonlinear Analysis: Real World Applications}}, keywords = {{Applied Mathematics, Computational Mathematics, General Economics, Econometrics and Finance, General Engineering, General Medicine, Analysis}}, publisher = {{Elsevier BV}}, title = {{{Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source}}}, doi = {{10.1016/j.nonrwa.2023.103868}}, volume = {{73}}, year = {{2023}}, } @inbook{43227, author = {{Vitt, Vivian and Häsel-Weide, Uta}}, booktitle = {{Mathematica Didactica, 46}}, title = {{{Reziprokes Peer-Tutoring zur Förderung von Schüler*innen mit Schwierigkeiten beim Mathematiklernen.}}}, doi = {{https://doi.org/10.18716/ojs/md/2023.1671}}, year = {{2023}}, }