---
_id: '35681'
author:
- first_name: Michael
full_name: Liebendörfer, Michael
id: '30933'
last_name: Liebendörfer
orcid: 0000-0001-9887-2074
- first_name: Christiane
full_name: Büdenbender-Kuklinski, Christiane
last_name: Büdenbender-Kuklinski
- first_name: Elisa
full_name: Lankeit, Elisa
last_name: Lankeit
- first_name: Mirko
full_name: Schürmann, Mirko
id: '59707'
last_name: Schürmann
orcid: 0000-0003-2646-085X
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Niclas
full_name: Schaper, Niclas
last_name: Schaper
citation:
ama: 'Liebendörfer M, Büdenbender-Kuklinski C, Lankeit E, Schürmann M, Biehler R,
Schaper N. Framing Goals of Mathematics Support Measures. In: Practice-Oriented
Research in Tertiary Mathematics Education. Springer International Publishing;
2023:91-117. doi:10.1007/978-3-031-14175-1_5'
apa: Liebendörfer, M., Büdenbender-Kuklinski, C., Lankeit, E., Schürmann, M., Biehler,
R., & Schaper, N. (2023). Framing Goals of Mathematics Support Measures. In
Practice-Oriented Research in Tertiary Mathematics Education (pp. 91–117).
Springer International Publishing. https://doi.org/10.1007/978-3-031-14175-1_5
bibtex: '@inbook{Liebendörfer_Büdenbender-Kuklinski_Lankeit_Schürmann_Biehler_Schaper_2023,
place={Cham}, title={Framing Goals of Mathematics Support Measures}, DOI={10.1007/978-3-031-14175-1_5},
booktitle={Practice-Oriented Research in Tertiary Mathematics Education}, publisher={Springer
International Publishing}, author={Liebendörfer, Michael and Büdenbender-Kuklinski,
Christiane and Lankeit, Elisa and Schürmann, Mirko and Biehler, Rolf and Schaper,
Niclas}, year={2023}, pages={91–117} }'
chicago: 'Liebendörfer, Michael, Christiane Büdenbender-Kuklinski, Elisa Lankeit,
Mirko Schürmann, Rolf Biehler, and Niclas Schaper. “Framing Goals of Mathematics
Support Measures.” In Practice-Oriented Research in Tertiary Mathematics Education,
91–117. Cham: Springer International Publishing, 2023. https://doi.org/10.1007/978-3-031-14175-1_5.'
ieee: 'M. Liebendörfer, C. Büdenbender-Kuklinski, E. Lankeit, M. Schürmann, R. Biehler,
and N. Schaper, “Framing Goals of Mathematics Support Measures,” in Practice-Oriented
Research in Tertiary Mathematics Education, Cham: Springer International Publishing,
2023, pp. 91–117.'
mla: Liebendörfer, Michael, et al. “Framing Goals of Mathematics Support Measures.”
Practice-Oriented Research in Tertiary Mathematics Education, Springer
International Publishing, 2023, pp. 91–117, doi:10.1007/978-3-031-14175-1_5.
short: 'M. Liebendörfer, C. Büdenbender-Kuklinski, E. Lankeit, M. Schürmann, R.
Biehler, N. Schaper, in: Practice-Oriented Research in Tertiary Mathematics Education,
Springer International Publishing, Cham, 2023, pp. 91–117.'
date_created: 2023-01-10T08:55:08Z
date_updated: 2023-01-17T23:33:06Z
department:
- _id: '34'
- _id: '10'
- _id: '97'
- _id: '363'
- _id: '423'
doi: 10.1007/978-3-031-14175-1_5
language:
- iso: eng
page: 91-117
place: Cham
publication: Practice-Oriented Research in Tertiary Mathematics Education
publication_identifier:
isbn:
- '9783031141744'
- '9783031141751'
issn:
- 1869-4918
- 1869-4926
publication_status: published
publisher: Springer International Publishing
status: public
title: Framing Goals of Mathematics Support Measures
type: book_chapter
user_id: '14931'
year: '2023'
...
---
_id: '37469'
citation:
ama: Biehler R, Liebendörfer M, Gueudet G, Rasmussen C, Winsløw C, eds. Practice-Oriented
Research in Tertiary Mathematics Education. Springer International Publishing;
2023. doi:10.1007/978-3-031-14175-1
apa: Biehler, R., Liebendörfer, M., Gueudet, G., Rasmussen, C., & Winsløw, C.
(Eds.). (2023). Practice-Oriented Research in Tertiary Mathematics Education.
Springer International Publishing. https://doi.org/10.1007/978-3-031-14175-1
bibtex: '@book{Biehler_Liebendörfer_Gueudet_Rasmussen_Winsløw_2023, place={Cham},
title={Practice-Oriented Research in Tertiary Mathematics Education}, DOI={10.1007/978-3-031-14175-1},
publisher={Springer International Publishing}, year={2023} }'
chicago: 'Biehler, Rolf, Michael Liebendörfer, Ghislaine Gueudet, Chris Rasmussen,
and Carl Winsløw, eds. Practice-Oriented Research in Tertiary Mathematics Education.
Cham: Springer International Publishing, 2023. https://doi.org/10.1007/978-3-031-14175-1.'
ieee: 'R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, and C. Winsløw, Eds.,
Practice-Oriented Research in Tertiary Mathematics Education. Cham: Springer
International Publishing, 2023.'
mla: Biehler, Rolf, et al., editors. Practice-Oriented Research in Tertiary Mathematics
Education. Springer International Publishing, 2023, doi:10.1007/978-3-031-14175-1.
short: R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, C. Winsløw, eds.,
Practice-Oriented Research in Tertiary Mathematics Education, Springer International
Publishing, Cham, 2023.
date_created: 2023-01-18T22:17:58Z
date_updated: 2023-01-18T22:47:41Z
department:
- _id: '10'
doi: 10.1007/978-3-031-14175-1
editor:
- first_name: Rolf
full_name: Biehler, Rolf
last_name: Biehler
- first_name: Michael
full_name: Liebendörfer, Michael
last_name: Liebendörfer
- first_name: Ghislaine
full_name: Gueudet, Ghislaine
last_name: Gueudet
- first_name: Chris
full_name: Rasmussen, Chris
last_name: Rasmussen
- first_name: Carl
full_name: Winsløw, Carl
last_name: Winsløw
place: Cham
publication_identifier:
isbn:
- '9783031141744'
- '9783031141751'
issn:
- 1869-4918
- 1869-4926
publication_status: published
publisher: Springer International Publishing
status: public
title: Practice-Oriented Research in Tertiary Mathematics Education
type: book_editor
user_id: '30933'
year: '2023'
...
---
_id: '36294'
author:
- first_name: Dominik
full_name: Brennecken, Dominik
id: '55911'
last_name: Brennecken
- first_name: Margit
full_name: Rösler, Margit
id: '37390'
last_name: Rösler
citation:
ama: Brennecken D, Rösler M. The Dunkl-Laplace transform and Macdonald’s hypergeometric
series. Transaction of the American Mathematical Society. doi:10.1090/tran/8860
apa: Brennecken, D., & Rösler, M. (n.d.). The Dunkl-Laplace transform and Macdonald’s
hypergeometric series. Transaction of the American Mathematical Society.
https://doi.org/10.1090/tran/8860
bibtex: '@article{Brennecken_Rösler, title={The Dunkl-Laplace transform and Macdonald’s
hypergeometric series}, DOI={10.1090/tran/8860},
journal={Transaction of the American Mathematical Society}, publisher={ American
Mathematical Society}, author={Brennecken, Dominik and Rösler, Margit} }'
chicago: Brennecken, Dominik, and Margit Rösler. “The Dunkl-Laplace Transform and
Macdonald’s Hypergeometric Series.” Transaction of the American Mathematical
Society, n.d. https://doi.org/10.1090/tran/8860.
ieee: 'D. Brennecken and M. Rösler, “The Dunkl-Laplace transform and Macdonald’s
hypergeometric series,” Transaction of the American Mathematical Society,
doi: 10.1090/tran/8860.'
mla: Brennecken, Dominik, and Margit Rösler. “The Dunkl-Laplace Transform and Macdonald’s
Hypergeometric Series.” Transaction of the American Mathematical Society, American
Mathematical Society, doi:10.1090/tran/8860.
short: D. Brennecken, M. Rösler, Transaction of the American Mathematical Society
(n.d.).
date_created: 2023-01-12T08:32:44Z
date_updated: 2023-01-24T22:14:22Z
department:
- _id: '555'
doi: 10.1090/tran/8860
language:
- iso: eng
publication: Transaction of the American Mathematical Society
publication_status: inpress
publisher: ' American Mathematical Society'
status: public
title: The Dunkl-Laplace transform and Macdonald’s hypergeometric series
type: journal_article
user_id: '37390'
year: '2023'
...
---
_id: '34814'
article_type: original
author:
- first_name: Maximilian
full_name: Hanusch, Maximilian
id: '30905'
last_name: Hanusch
citation:
ama: Hanusch M. A $C^k$-seeley-extension-theorem for Bastiani’s differential calculus.
Canadian Journal of Mathematics. 2023;75(1):170-201. doi:10.4153/s0008414x21000596
apa: Hanusch, M. (2023). A $C^k$-seeley-extension-theorem for Bastiani’s differential
calculus. Canadian Journal of Mathematics, 75(1), 170–201. https://doi.org/10.4153/s0008414x21000596
bibtex: '@article{Hanusch_2023, title={A $C^k$-seeley-extension-theorem for Bastiani’s
differential calculus}, volume={75}, DOI={10.4153/s0008414x21000596},
number={1}, journal={Canadian Journal of Mathematics}, publisher={Canadian Mathematical
Society}, author={Hanusch, Maximilian}, year={2023}, pages={170–201} }'
chicago: 'Hanusch, Maximilian. “A $C^k$-Seeley-Extension-Theorem for Bastiani’s
Differential Calculus.” Canadian Journal of Mathematics 75, no. 1 (2023):
170–201. https://doi.org/10.4153/s0008414x21000596.'
ieee: 'M. Hanusch, “A $C^k$-seeley-extension-theorem for Bastiani’s differential
calculus,” Canadian Journal of Mathematics, vol. 75, no. 1, pp. 170–201,
2023, doi: 10.4153/s0008414x21000596.'
mla: Hanusch, Maximilian. “A $C^k$-Seeley-Extension-Theorem for Bastiani’s Differential
Calculus.” Canadian Journal of Mathematics, vol. 75, no. 1, Canadian Mathematical
Society, 2023, pp. 170–201, doi:10.4153/s0008414x21000596.
short: M. Hanusch, Canadian Journal of Mathematics 75 (2023) 170–201.
date_created: 2022-12-22T09:16:48Z
date_updated: 2023-02-22T11:38:32Z
department:
- _id: '93'
doi: 10.4153/s0008414x21000596
intvolume: ' 75'
issue: '1'
keyword:
- extension of differentiable maps
language:
- iso: eng
page: 170-201
project:
- _id: '161'
name: 'RegLie: Regularität von Lie-Gruppen und Lie''s Dritter Satz (RegLie)'
publication: Canadian Journal of Mathematics
publication_identifier:
issn:
- 0008-414X
- 1496-4279
publication_status: published
publisher: Canadian Mathematical Society
status: public
title: A $C^k$-seeley-extension-theorem for Bastiani’s differential calculus
type: journal_article
user_id: '30905'
volume: 75
year: '2023'
...
---
_id: '27426'
abstract:
- lang: eng
text: "Regularization is used in many different areas of optimization when solutions\r\nare
sought which not only minimize a given function, but also possess a certain\r\ndegree
of regularity. Popular applications are image denoising, sparse\r\nregression
and machine learning. Since the choice of the regularization\r\nparameter is crucial
but often difficult, path-following methods are used to\r\napproximate the entire
regularization path, i.e., the set of all possible\r\nsolutions for all regularization
parameters. Due to their nature, the\r\ndevelopment of these methods requires
structural results about the\r\nregularization path. The goal of this article
is to derive these results for\r\nthe case of a smooth objective function which
is penalized by a piecewise\r\ndifferentiable regularization term. We do this
by treating regularization as a\r\nmultiobjective optimization problem. Our results
suggest that even in this\r\ngeneral case, the regularization path is piecewise
smooth. Moreover, our theory\r\nallows for a classification of the nonsmooth features
that occur in between\r\nsmooth parts. This is demonstrated in two applications,
namely support-vector\r\nmachines and exact penalty methods."
author:
- first_name: Bennet
full_name: Gebken, Bennet
id: '32643'
last_name: Gebken
- first_name: Katharina
full_name: Bieker, Katharina
id: '32829'
last_name: Bieker
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: 0000-0002-3389-793X
citation:
ama: Gebken B, Bieker K, Peitz S. On the structure of regularization paths for piecewise
differentiable regularization terms. Journal of Global Optimization. 2023;85(3):709-741.
doi:10.1007/s10898-022-01223-2
apa: Gebken, B., Bieker, K., & Peitz, S. (2023). On the structure of regularization
paths for piecewise differentiable regularization terms. Journal of Global
Optimization, 85(3), 709–741. https://doi.org/10.1007/s10898-022-01223-2
bibtex: '@article{Gebken_Bieker_Peitz_2023, title={On the structure of regularization
paths for piecewise differentiable regularization terms}, volume={85}, DOI={10.1007/s10898-022-01223-2},
number={3}, journal={Journal of Global Optimization}, author={Gebken, Bennet and
Bieker, Katharina and Peitz, Sebastian}, year={2023}, pages={709–741} }'
chicago: 'Gebken, Bennet, Katharina Bieker, and Sebastian Peitz. “On the Structure
of Regularization Paths for Piecewise Differentiable Regularization Terms.” Journal
of Global Optimization 85, no. 3 (2023): 709–41. https://doi.org/10.1007/s10898-022-01223-2.'
ieee: 'B. Gebken, K. Bieker, and S. Peitz, “On the structure of regularization paths
for piecewise differentiable regularization terms,” Journal of Global Optimization,
vol. 85, no. 3, pp. 709–741, 2023, doi: 10.1007/s10898-022-01223-2.'
mla: Gebken, Bennet, et al. “On the Structure of Regularization Paths for Piecewise
Differentiable Regularization Terms.” Journal of Global Optimization, vol.
85, no. 3, 2023, pp. 709–41, doi:10.1007/s10898-022-01223-2.
short: B. Gebken, K. Bieker, S. Peitz, Journal of Global Optimization 85 (2023)
709–741.
date_created: 2021-11-15T09:24:59Z
date_updated: 2023-03-11T17:16:33Z
department:
- _id: '101'
- _id: '655'
doi: 10.1007/s10898-022-01223-2
intvolume: ' 85'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://link.springer.com/content/pdf/10.1007/s10898-022-01223-2.pdf
oa: '1'
page: 709-741
publication: Journal of Global Optimization
status: public
title: On the structure of regularization paths for piecewise differentiable regularization
terms
type: journal_article
user_id: '47427'
volume: 85
year: '2023'
...
---
_id: '31849'
author:
- first_name: Max
full_name: Hoffmann, Max
id: '32202'
last_name: Hoffmann
orcid: 0000-0002-6964-7123
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: 'Hoffmann M, Biehler R. Student Teachers ’ Knowledge of Congruence before a
University Course on Geometry. In: Trigueros M, Barquero B, Hochmuth R, Peters
J, eds. Proceedings of the Fourth Conference of the International Network for
Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022).
University of Hannover and INDRUM.; 2023.'
apa: Hoffmann, M., & Biehler, R. (2023). Student Teachers ’ Knowledge of Congruence
before a University Course on Geometry. In M. Trigueros, B. Barquero, R. Hochmuth,
& J. Peters (Eds.), Proceedings of the Fourth Conference of the International
Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October
2022). University of Hannover and INDRUM.
bibtex: '@inproceedings{Hoffmann_Biehler_2023, place={Hannover}, title={Student
Teachers ’ Knowledge of Congruence before a University Course on Geometry}, booktitle={Proceedings
of the Fourth Conference of the International Network for Didactic Research in
University Mathematics (INDRUM 2022, 19-22 October 2022)}, publisher={University
of Hannover and INDRUM.}, author={Hoffmann, Max and Biehler, Rolf}, editor={Trigueros,
Marı́a and Barquero, Berta and Hochmuth, Reinhard and Peters, Jana}, year={2023}
}'
chicago: 'Hoffmann, Max, and Rolf Biehler. “Student Teachers ’ Knowledge of Congruence
before a University Course on Geometry.” In Proceedings of the Fourth Conference
of the International Network for Didactic Research in University Mathematics (INDRUM
2022, 19-22 October 2022), edited by Marı́a Trigueros, Berta Barquero, Reinhard
Hochmuth, and Jana Peters. Hannover: University of Hannover and INDRUM., 2023.'
ieee: M. Hoffmann and R. Biehler, “Student Teachers ’ Knowledge of Congruence before
a University Course on Geometry,” in Proceedings of the Fourth Conference of
the International Network for Didactic Research in University Mathematics (INDRUM
2022, 19-22 October 2022), 2023.
mla: Hoffmann, Max, and Rolf Biehler. “Student Teachers ’ Knowledge of Congruence
before a University Course on Geometry.” Proceedings of the Fourth Conference
of the International Network for Didactic Research in University Mathematics (INDRUM
2022, 19-22 October 2022), edited by Marı́a Trigueros et al., University of
Hannover and INDRUM., 2023.
short: 'M. Hoffmann, R. Biehler, in: M. Trigueros, B. Barquero, R. Hochmuth, J.
Peters (Eds.), Proceedings of the Fourth Conference of the International Network
for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022),
University of Hannover and INDRUM., Hannover, 2023.'
date_created: 2022-06-12T11:07:34Z
date_updated: 2023-03-25T10:11:35Z
ddc:
- '370'
- '510'
department:
- _id: '97'
editor:
- first_name: Marı́a
full_name: Trigueros, Marı́a
last_name: Trigueros
- first_name: Berta
full_name: Barquero, Berta
last_name: Barquero
- first_name: Reinhard
full_name: Hochmuth, Reinhard
last_name: Hochmuth
- first_name: Jana
full_name: Peters, Jana
last_name: Peters
file:
- access_level: closed
content_type: application/pdf
creator: maxh
date_created: 2023-03-25T10:01:03Z
date_updated: 2023-03-25T10:01:03Z
file_id: '43096'
file_name: HoffmannBiehler2022_indrum_congruence.pdf
file_size: 201942
relation: main_file
success: 1
file_date_updated: 2023-03-25T10:01:03Z
has_accepted_license: '1'
keyword:
- Teaching and learning of specific topics in university mathematics
- Transition to
- across and from university mathematics
- Student Teachers
- Geometry
- Congruence
- Double Discontinuity.
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://hal.univ-reims.fr/INDRUM2022/
oa: '1'
place: Hannover
publication: Proceedings of the Fourth Conference of the International Network for
Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022)
publication_status: published
publisher: University of Hannover and INDRUM.
quality_controlled: '1'
status: public
title: Student Teachers ’ Knowledge of Congruence before a University Course on Geometry
type: conference
user_id: '32202'
year: '2023'
...
---
_id: '43097'
author:
- first_name: Ignasio
full_name: Florensa, Ignasio
last_name: Florensa
- first_name: Max
full_name: Hoffmann, Max
id: '32202'
last_name: Hoffmann
orcid: 0000-0002-6964-7123
- first_name: Avenilde
full_name: Romo Vázquez, Avenilde
last_name: Romo Vázquez
- first_name: Michelle
full_name: Zandieh, Michelle
last_name: Zandieh
- first_name: Rafael
full_name: Martínez-Planell, Rafael
last_name: Martínez-Planell
citation:
ama: 'Florensa I, Hoffmann M, Romo Vázquez A, Zandieh M, Martínez-Planell R. Innovations
in university teaching based on mathematic education research. In: Trigueros M,
Barquero B, Hochmuth R, Peters J, eds. Proceedings of the Fourth Conference
of the International Network for Didactic Research in University Mathematics (INDRUM
2022, 19-22 October 2022). ; 2023.'
apa: Florensa, I., Hoffmann, M., Romo Vázquez, A., Zandieh, M., & Martínez-Planell,
R. (2023). Innovations in university teaching based on mathematic education research.
In M. Trigueros, B. Barquero, R. Hochmuth, & J. Peters (Eds.), Proceedings
of the Fourth Conference of the International Network for Didactic Research in
University Mathematics (INDRUM 2022, 19-22 October 2022).
bibtex: '@inproceedings{Florensa_Hoffmann_Romo Vázquez_Zandieh_Martínez-Planell_2023,
place={Hannover}, title={Innovations in university teaching based on mathematic
education research}, booktitle={Proceedings of the Fourth Conference of the International
Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October
2022)}, author={Florensa, Ignasio and Hoffmann, Max and Romo Vázquez, Avenilde
and Zandieh, Michelle and Martínez-Planell, Rafael}, editor={Trigueros, Marı́a
and Barquero, Berta and Hochmuth, Reinhard and Peters, Jana}, year={2023} }'
chicago: Florensa, Ignasio, Max Hoffmann, Avenilde Romo Vázquez, Michelle Zandieh,
and Rafael Martínez-Planell. “Innovations in University Teaching Based on Mathematic
Education Research.” In Proceedings of the Fourth Conference of the International
Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October
2022), edited by Marı́a Trigueros, Berta Barquero, Reinhard Hochmuth, and
Jana Peters. Hannover, 2023.
ieee: I. Florensa, M. Hoffmann, A. Romo Vázquez, M. Zandieh, and R. Martínez-Planell,
“Innovations in university teaching based on mathematic education research,” in
Proceedings of the Fourth Conference of the International Network for Didactic
Research in University Mathematics (INDRUM 2022, 19-22 October 2022), 2023.
mla: Florensa, Ignasio, et al. “Innovations in University Teaching Based on Mathematic
Education Research.” Proceedings of the Fourth Conference of the International
Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October
2022), edited by Marı́a Trigueros et al., 2023.
short: 'I. Florensa, M. Hoffmann, A. Romo Vázquez, M. Zandieh, R. Martínez-Planell,
in: M. Trigueros, B. Barquero, R. Hochmuth, J. Peters (Eds.), Proceedings of the
Fourth Conference of the International Network for Didactic Research in University
Mathematics (INDRUM 2022, 19-22 October 2022), Hannover, 2023.'
date_created: 2023-03-25T10:09:06Z
date_updated: 2023-03-25T10:10:58Z
ddc:
- '370'
- '510'
department:
- _id: '97'
editor:
- first_name: Marı́a
full_name: Trigueros, Marı́a
last_name: Trigueros
- first_name: Berta
full_name: Barquero, Berta
last_name: Barquero
- first_name: Reinhard
full_name: Hochmuth, Reinhard
last_name: Hochmuth
- first_name: Jana
full_name: Peters, Jana
last_name: Peters
file:
- access_level: closed
content_type: application/pdf
creator: maxh
date_created: 2023-03-25T10:07:54Z
date_updated: 2023-03-25T10:07:54Z
file_id: '43098'
file_name: 2022_FlorensaEtAl_indrum_panelInnovations.pdf
file_size: 642388
relation: main_file
success: 1
file_date_updated: 2023-03-25T10:07:54Z
has_accepted_license: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://hal.univ-reims.fr/INDRUM2022/
oa: '1'
place: Hannover
publication: Proceedings of the Fourth Conference of the International Network for
Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022)
quality_controlled: '1'
status: public
title: Innovations in university teaching based on mathematic education research
type: conference
user_id: '32202'
year: '2023'
...
---
_id: '43504'
author:
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Michael
full_name: Liebendörfer, Michael
id: '30933'
last_name: Liebendörfer
orcid: 0000-0001-9887-2074
- first_name: A.
full_name: Schmitz, A.
last_name: Schmitz
citation:
ama: Biehler R, Liebendörfer M, Schmitz A. Lernvideos und ihre Erstellung - Das
Projekt studiVEMINTvideos. Mitteilungen der Gesellschaft für Didaktik der Mathematik.
2023;114:8-12.
apa: Biehler, R., Liebendörfer, M., & Schmitz, A. (2023). Lernvideos und ihre
Erstellung - Das Projekt studiVEMINTvideos. Mitteilungen der Gesellschaft für
Didaktik der Mathematik, 114, 8–12.
bibtex: '@article{Biehler_Liebendörfer_Schmitz_2023, title={Lernvideos und ihre
Erstellung - Das Projekt studiVEMINTvideos}, volume={114}, journal={Mitteilungen
der Gesellschaft für Didaktik der Mathematik}, author={Biehler, Rolf and Liebendörfer,
Michael and Schmitz, A.}, year={2023}, pages={8–12} }'
chicago: 'Biehler, Rolf, Michael Liebendörfer, and A. Schmitz. “Lernvideos und ihre
Erstellung - Das Projekt studiVEMINTvideos.” Mitteilungen der Gesellschaft
für Didaktik der Mathematik 114 (2023): 8–12.'
ieee: R. Biehler, M. Liebendörfer, and A. Schmitz, “Lernvideos und ihre Erstellung
- Das Projekt studiVEMINTvideos,” Mitteilungen der Gesellschaft für Didaktik
der Mathematik, vol. 114, pp. 8–12, 2023.
mla: Biehler, Rolf, et al. “Lernvideos und ihre Erstellung - Das Projekt studiVEMINTvideos.”
Mitteilungen der Gesellschaft für Didaktik der Mathematik, vol. 114, 2023,
pp. 8–12.
short: R. Biehler, M. Liebendörfer, A. Schmitz, Mitteilungen der Gesellschaft für
Didaktik der Mathematik 114 (2023) 8–12.
date_created: 2023-04-14T09:25:18Z
date_updated: 2023-04-14T09:25:27Z
department:
- _id: '34'
- _id: '10'
- _id: '97'
- _id: '363'
intvolume: ' 114'
language:
- iso: ger
page: 8-12
publication: Mitteilungen der Gesellschaft für Didaktik der Mathematik
status: public
title: Lernvideos und ihre Erstellung - Das Projekt studiVEMINTvideos
type: journal_article
user_id: '37888'
volume: 114
year: '2023'
...
---
_id: '43105'
article_number: '103868'
author:
- first_name: Tobias
full_name: Black, Tobias
id: '23686'
last_name: Black
orcid: 0000-0001-9963-0800
- first_name: Mario
full_name: Fuest, Mario
last_name: Fuest
- first_name: Johannes
full_name: Lankeit, Johannes
last_name: Lankeit
- first_name: Masaaki
full_name: Mizukami, Masaaki
last_name: Mizukami
citation:
ama: 'Black T, Fuest M, Lankeit J, Mizukami M. Possible points of blow-up in chemotaxis
systems with spatially heterogeneous logistic source. Nonlinear Analysis: Real
World Applications. 2023;73. doi:10.1016/j.nonrwa.2023.103868'
apa: 'Black, T., Fuest, M., Lankeit, J., & Mizukami, M. (2023). Possible points
of blow-up in chemotaxis systems with spatially heterogeneous logistic source.
Nonlinear Analysis: Real World Applications, 73, Article 103868.
https://doi.org/10.1016/j.nonrwa.2023.103868'
bibtex: '@article{Black_Fuest_Lankeit_Mizukami_2023, title={Possible points of blow-up
in chemotaxis systems with spatially heterogeneous logistic source}, volume={73},
DOI={10.1016/j.nonrwa.2023.103868},
number={103868}, journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier
BV}, author={Black, Tobias and Fuest, Mario and Lankeit, Johannes and Mizukami,
Masaaki}, year={2023} }'
chicago: 'Black, Tobias, Mario Fuest, Johannes Lankeit, and Masaaki Mizukami. “Possible
Points of Blow-up in Chemotaxis Systems with Spatially Heterogeneous Logistic
Source.” Nonlinear Analysis: Real World Applications 73 (2023). https://doi.org/10.1016/j.nonrwa.2023.103868.'
ieee: 'T. Black, M. Fuest, J. Lankeit, and M. Mizukami, “Possible points of blow-up
in chemotaxis systems with spatially heterogeneous logistic source,” Nonlinear
Analysis: Real World Applications, vol. 73, Art. no. 103868, 2023, doi: 10.1016/j.nonrwa.2023.103868.'
mla: 'Black, Tobias, et al. “Possible Points of Blow-up in Chemotaxis Systems with
Spatially Heterogeneous Logistic Source.” Nonlinear Analysis: Real World Applications,
vol. 73, 103868, Elsevier BV, 2023, doi:10.1016/j.nonrwa.2023.103868.'
short: 'T. Black, M. Fuest, J. Lankeit, M. Mizukami, Nonlinear Analysis: Real World
Applications 73 (2023).'
date_created: 2023-03-27T07:25:58Z
date_updated: 2023-03-27T07:27:03Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1016/j.nonrwa.2023.103868
intvolume: ' 73'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Economics
- Econometrics and Finance
- General Engineering
- General Medicine
- Analysis
language:
- iso: eng
publication: 'Nonlinear Analysis: Real World Applications'
publication_identifier:
issn:
- 1468-1218
publication_status: published
publisher: Elsevier BV
status: public
title: Possible points of blow-up in chemotaxis systems with spatially heterogeneous
logistic source
type: journal_article
user_id: '23686'
volume: 73
year: '2023'
...
---
_id: '43227'
author:
- first_name: Vivian
full_name: Vitt, Vivian
last_name: Vitt
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
citation:
ama: 'Vitt V, Häsel-Weide U. Reziprokes Peer-Tutoring zur Förderung von Schüler*innen
mit Schwierigkeiten beim Mathematiklernen. In: Mathematica Didactica, 46.
; 2023. doi:https://doi.org/10.18716/ojs/md/2023.1671'
apa: Vitt, V., & Häsel-Weide, U. (2023). Reziprokes Peer-Tutoring zur Förderung
von Schüler*innen mit Schwierigkeiten beim Mathematiklernen. In Mathematica
Didactica, 46. https://doi.org/10.18716/ojs/md/2023.1671
bibtex: '@inbook{Vitt_Häsel-Weide_2023, title={Reziprokes Peer-Tutoring zur Förderung
von Schüler*innen mit Schwierigkeiten beim Mathematiklernen.}, DOI={https://doi.org/10.18716/ojs/md/2023.1671},
booktitle={Mathematica Didactica, 46}, author={Vitt, Vivian and Häsel-Weide, Uta},
year={2023} }'
chicago: Vitt, Vivian, and Uta Häsel-Weide. “Reziprokes Peer-Tutoring Zur Förderung
von Schüler*innen Mit Schwierigkeiten Beim Mathematiklernen.” In Mathematica
Didactica, 46, 2023. https://doi.org/10.18716/ojs/md/2023.1671.
ieee: V. Vitt and U. Häsel-Weide, “Reziprokes Peer-Tutoring zur Förderung von Schüler*innen
mit Schwierigkeiten beim Mathematiklernen.,” in Mathematica Didactica, 46,
2023.
mla: Vitt, Vivian, and Uta Häsel-Weide. “Reziprokes Peer-Tutoring Zur Förderung
von Schüler*innen Mit Schwierigkeiten Beim Mathematiklernen.” Mathematica Didactica,
46, 2023, doi:https://doi.org/10.18716/ojs/md/2023.1671.
short: 'V. Vitt, U. Häsel-Weide, in: Mathematica Didactica, 46, 2023.'
date_created: 2023-03-30T10:06:24Z
date_updated: 2023-03-30T10:06:53Z
department:
- _id: '543'
doi: https://doi.org/10.18716/ojs/md/2023.1671
language:
- iso: eng
publication: Mathematica Didactica, 46
status: public
title: Reziprokes Peer-Tutoring zur Förderung von Schüler*innen mit Schwierigkeiten
beim Mathematiklernen.
type: book_chapter
user_id: '44184'
year: '2023'
...
---
_id: '43226'
author:
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
- first_name: M.
full_name: Nührenbörger, M.
last_name: Nührenbörger
citation:
ama: 'Häsel-Weide U, Nührenbörger M. Inklusive Praktiken unterrichtsintegrierter
Förderung im Mathematikunterricht. In: Mathematica Didactica, 46. ; 2023.
doi:https://doi.org/10.18716/ojs/md/2023.1670'
apa: Häsel-Weide, U., & Nührenbörger, M. (2023). Inklusive Praktiken unterrichtsintegrierter
Förderung im Mathematikunterricht. In Mathematica Didactica, 46. https://doi.org/10.18716/ojs/md/2023.1670
bibtex: '@inbook{Häsel-Weide_Nührenbörger_2023, title={Inklusive Praktiken unterrichtsintegrierter
Förderung im Mathematikunterricht.}, DOI={https://doi.org/10.18716/ojs/md/2023.1670},
booktitle={Mathematica Didactica, 46}, author={Häsel-Weide, Uta and Nührenbörger,
M.}, year={2023} }'
chicago: Häsel-Weide, Uta, and M. Nührenbörger. “Inklusive Praktiken Unterrichtsintegrierter
Förderung Im Mathematikunterricht.” In Mathematica Didactica, 46, 2023.
https://doi.org/10.18716/ojs/md/2023.1670.
ieee: U. Häsel-Weide and M. Nührenbörger, “Inklusive Praktiken unterrichtsintegrierter
Förderung im Mathematikunterricht.,” in Mathematica Didactica, 46, 2023.
mla: Häsel-Weide, Uta, and M. Nührenbörger. “Inklusive Praktiken Unterrichtsintegrierter
Förderung Im Mathematikunterricht.” Mathematica Didactica, 46, 2023, doi:https://doi.org/10.18716/ojs/md/2023.1670.
short: 'U. Häsel-Weide, M. Nührenbörger, in: Mathematica Didactica, 46, 2023.'
date_created: 2023-03-30T10:04:31Z
date_updated: 2023-03-30T10:06:49Z
department:
- _id: '543'
doi: https://doi.org/10.18716/ojs/md/2023.1670
language:
- iso: eng
publication: Mathematica Didactica, 46
status: public
title: Inklusive Praktiken unterrichtsintegrierter Förderung im Mathematikunterricht.
type: book_chapter
user_id: '44184'
year: '2023'
...
---
_id: '34832'
author:
- first_name: Maximilian
full_name: Hanusch, Maximilian
id: '30905'
last_name: Hanusch
citation:
ama: Hanusch M. The Lax Equation and Weak Regularity of Asymptotic Estimate Lie
Groups. Annals of Global Analysis and Geometry. 2023;63(21). doi:10.1007/s10455-023-09888-y
apa: Hanusch, M. (2023). The Lax Equation and Weak Regularity of Asymptotic Estimate
Lie Groups. Annals of Global Analysis and Geometry, 63(21). https://doi.org/10.1007/s10455-023-09888-y
bibtex: '@article{Hanusch_2023, title={The Lax Equation and Weak Regularity of Asymptotic
Estimate Lie Groups}, volume={63}, DOI={10.1007/s10455-023-09888-y},
number={21}, journal={Annals of Global Analysis and Geometry}, author={Hanusch,
Maximilian}, year={2023} }'
chicago: Hanusch, Maximilian. “The Lax Equation and Weak Regularity of Asymptotic
Estimate Lie Groups.” Annals of Global Analysis and Geometry 63, no. 21
(2023). https://doi.org/10.1007/s10455-023-09888-y.
ieee: 'M. Hanusch, “The Lax Equation and Weak Regularity of Asymptotic Estimate
Lie Groups,” Annals of Global Analysis and Geometry, vol. 63, no. 21, 2023,
doi: 10.1007/s10455-023-09888-y.'
mla: Hanusch, Maximilian. “The Lax Equation and Weak Regularity of Asymptotic Estimate
Lie Groups.” Annals of Global Analysis and Geometry, vol. 63, no. 21, 2023,
doi:10.1007/s10455-023-09888-y.
short: M. Hanusch, Annals of Global Analysis and Geometry 63 (2023).
date_created: 2022-12-22T09:45:34Z
date_updated: 2023-04-05T18:18:24Z
department:
- _id: '93'
doi: 10.1007/s10455-023-09888-y
intvolume: ' 63'
issue: '21'
keyword:
- Lax equation
- generalized Baker-Campbell-Dynkin-Hausdorff formula
- regularity of Lie groups
language:
- iso: eng
project:
- _id: '161'
name: 'RegLie: Regularität von Lie-Gruppen und Lie''s Dritter Satz (RegLie)'
publication: Annals of Global Analysis and Geometry
publication_status: published
status: public
title: The Lax Equation and Weak Regularity of Asymptotic Estimate Lie Groups
type: journal_article
user_id: '30905'
volume: 63
year: '2023'
...
---
_id: '44501'
abstract:
- lang: eng
text: "Extending the notion of maxcut, the study of the frustration index of signed
graphs is one of the basic questions in the theory of signed graphs. Recently
two of the authors initiated the study of critically frustrated signed graphs.
That is a signed graph whose frustration index decreases with the removal of any
edge. The main focus of this study is on critical signed graphs which are not
edge-disjoint unions of critically frustrated signed graphs (namely non-decomposable
signed graphs) and which are not built from other critically frustrated signed
graphs by subdivision. We conjecture that for any given k there are only finitely
many critically k-frustrated signed graphs of this kind.\r\nProviding support
for this conjecture we show that there are only two of such critically 3-frustrated
signed graphs where there is no pair of edge-disjoint negative cycles. Similarly,
we show that there are exactly ten critically 3-frustrated signed planar graphs
that are neither decomposable nor subdivisions of other critically frustrated
signed graphs. We present a method for building non-decomposable critically frustrated
signed graphs based on two given such signed graphs. We also show that the condition
of being non-decomposable is necessary for our conjecture. "
author:
- first_name: Chiara
full_name: Cappello, Chiara
id: '72874'
last_name: Cappello
- first_name: Reza
full_name: Naserasr, Reza
last_name: Naserasr
- first_name: Eckhard
full_name: Steffen, Eckhard
id: '15548'
last_name: Steffen
orcid: 0000-0002-9808-7401
- first_name: Zhouningxin
full_name: Wang, Zhouningxin
last_name: Wang
citation:
ama: Cappello C, Naserasr R, Steffen E, Wang Z. Critically 3-frustrated signed graphs.
arXiv:230410243. Published online 2023.
apa: Cappello, C., Naserasr, R., Steffen, E., & Wang, Z. (2023). Critically
3-frustrated signed graphs. In arXiv:2304.10243.
bibtex: '@article{Cappello_Naserasr_Steffen_Wang_2023, title={Critically 3-frustrated
signed graphs}, journal={arXiv:2304.10243}, author={Cappello, Chiara and Naserasr,
Reza and Steffen, Eckhard and Wang, Zhouningxin}, year={2023} }'
chicago: Cappello, Chiara, Reza Naserasr, Eckhard Steffen, and Zhouningxin Wang.
“Critically 3-Frustrated Signed Graphs.” ArXiv:2304.10243, 2023.
ieee: C. Cappello, R. Naserasr, E. Steffen, and Z. Wang, “Critically 3-frustrated
signed graphs,” arXiv:2304.10243. 2023.
mla: Cappello, Chiara, et al. “Critically 3-Frustrated Signed Graphs.” ArXiv:2304.10243,
2023.
short: C. Cappello, R. Naserasr, E. Steffen, Z. Wang, ArXiv:2304.10243 (2023).
date_created: 2023-05-05T06:52:39Z
date_updated: 2023-05-05T06:53:47Z
department:
- _id: '542'
external_id:
arxiv:
- '2304.10243'
language:
- iso: eng
publication: arXiv:2304.10243
status: public
title: Critically 3-frustrated signed graphs
type: preprint
user_id: '15540'
year: '2023'
...
---
_id: '44857'
abstract:
- lang: eng
text: Ancestral reconstruction is a classic task in comparative genomics. Here,
we study the genome median problem, a related computational problem which, given
a set of three or more genomes, asks to find a new genome that minimizes the sum
of pairwise distances between it and the given genomes. The distance stands for
the amount of evolution observed at the genome level, for which we determine the
minimum number of rearrangement operations necessary to transform one genome into
the other. For almost all rearrangement operations the median problem is NP-hard,
with the exception of the breakpoint median that can be constructed efficiently
for multichromosomal circular and mixed genomes. In this work, we study the median
problem under a restricted rearrangement measure called c4-distance, which is
closely related to the breakpoint and the DCJ distance. We identify tight bounds
and decomposers of the c4-median and develop algorithms for its construction,
one exact ILP-based and three combinatorial heuristics. Subsequently, we perform
experiments on simulated data sets. Our results suggest that the c4-distance is
useful for the study the genome median problem, from theoretical and practical
perspectives.
author:
- first_name: Helmuth O.M.
full_name: Silva, Helmuth O.M.
last_name: Silva
- first_name: Diego P.
full_name: Rubert, Diego P.
last_name: Rubert
- first_name: Eloi
full_name: Araujo, Eloi
last_name: Araujo
- first_name: Eckhard
full_name: Steffen, Eckhard
id: '15548'
last_name: Steffen
orcid: 0000-0002-9808-7401
- first_name: Daniel
full_name: Doerr, Daniel
last_name: Doerr
- first_name: Fábio V.
full_name: Martinez, Fábio V.
last_name: Martinez
citation:
ama: Silva HOM, Rubert DP, Araujo E, Steffen E, Doerr D, Martinez FV. Algorithms
for the genome median under a restricted measure of rearrangement. RAIRO -
Operations Research. 2023;57(3):1045-1058. doi:10.1051/ro/2023052
apa: Silva, H. O. M., Rubert, D. P., Araujo, E., Steffen, E., Doerr, D., & Martinez,
F. V. (2023). Algorithms for the genome median under a restricted measure of rearrangement.
RAIRO - Operations Research, 57(3), 1045–1058. https://doi.org/10.1051/ro/2023052
bibtex: '@article{Silva_Rubert_Araujo_Steffen_Doerr_Martinez_2023, title={Algorithms
for the genome median under a restricted measure of rearrangement}, volume={57},
DOI={10.1051/ro/2023052}, number={3},
journal={RAIRO - Operations Research}, publisher={EDP Sciences}, author={Silva,
Helmuth O.M. and Rubert, Diego P. and Araujo, Eloi and Steffen, Eckhard and Doerr,
Daniel and Martinez, Fábio V.}, year={2023}, pages={1045–1058} }'
chicago: 'Silva, Helmuth O.M., Diego P. Rubert, Eloi Araujo, Eckhard Steffen, Daniel
Doerr, and Fábio V. Martinez. “Algorithms for the Genome Median under a Restricted
Measure of Rearrangement.” RAIRO - Operations Research 57, no. 3 (2023):
1045–58. https://doi.org/10.1051/ro/2023052.'
ieee: 'H. O. M. Silva, D. P. Rubert, E. Araujo, E. Steffen, D. Doerr, and F. V.
Martinez, “Algorithms for the genome median under a restricted measure of rearrangement,”
RAIRO - Operations Research, vol. 57, no. 3, pp. 1045–1058, 2023, doi:
10.1051/ro/2023052.'
mla: Silva, Helmuth O. M., et al. “Algorithms for the Genome Median under a Restricted
Measure of Rearrangement.” RAIRO - Operations Research, vol. 57, no. 3,
EDP Sciences, 2023, pp. 1045–58, doi:10.1051/ro/2023052.
short: H.O.M. Silva, D.P. Rubert, E. Araujo, E. Steffen, D. Doerr, F.V. Martinez,
RAIRO - Operations Research 57 (2023) 1045–1058.
date_created: 2023-05-16T08:48:22Z
date_updated: 2023-05-16T08:49:30Z
department:
- _id: '542'
doi: 10.1051/ro/2023052
intvolume: ' 57'
issue: '3'
keyword:
- Management Science and Operations Research
- Computer Science Applications
- Theoretical Computer Science
language:
- iso: eng
page: 1045-1058
publication: RAIRO - Operations Research
publication_identifier:
issn:
- 0399-0559
- 2804-7303
publication_status: published
publisher: EDP Sciences
status: public
title: Algorithms for the genome median under a restricted measure of rearrangement
type: journal_article
user_id: '15540'
volume: 57
year: '2023'
...
---
_id: '44859'
author:
- first_name: Yulai
full_name: Ma, Yulai
id: '92748'
last_name: Ma
- first_name: Davide
full_name: Mattiolo, Davide
last_name: Mattiolo
- first_name: Eckhard
full_name: Steffen, Eckhard
id: '15548'
last_name: Steffen
orcid: 0000-0002-9808-7401
- first_name: Isaak Hieronymus
full_name: Wolf, Isaak Hieronymus
id: '88145'
last_name: Wolf
citation:
ama: Ma Y, Mattiolo D, Steffen E, Wolf IH. Sets of r-graphs that color all r-graphs.
arXiv:230508619. Published online 2023.
apa: Ma, Y., Mattiolo, D., Steffen, E., & Wolf, I. H. (2023). Sets of r-graphs
that color all r-graphs. In arXiv:2305.08619.
bibtex: '@article{Ma_Mattiolo_Steffen_Wolf_2023, title={Sets of r-graphs that color
all r-graphs}, journal={arXiv:2305.08619}, author={Ma, Yulai and Mattiolo, Davide
and Steffen, Eckhard and Wolf, Isaak Hieronymus}, year={2023} }'
chicago: Ma, Yulai, Davide Mattiolo, Eckhard Steffen, and Isaak Hieronymus Wolf.
“Sets of R-Graphs That Color All r-Graphs.” ArXiv:2305.08619, 2023.
ieee: Y. Ma, D. Mattiolo, E. Steffen, and I. H. Wolf, “Sets of r-graphs that color
all r-graphs,” arXiv:2305.08619. 2023.
mla: Ma, Yulai, et al. “Sets of R-Graphs That Color All r-Graphs.” ArXiv:2305.08619,
2023.
short: Y. Ma, D. Mattiolo, E. Steffen, I.H. Wolf, ArXiv:2305.08619 (2023).
date_created: 2023-05-16T10:07:47Z
date_updated: 2023-05-16T11:17:26Z
department:
- _id: '542'
external_id:
arxiv:
- '2305.08619'
language:
- iso: eng
publication: arXiv:2305.08619
status: public
title: Sets of r-graphs that color all r-graphs
type: preprint
user_id: '15540'
year: '2023'
...
---
_id: '34833'
author:
- first_name: Maximilian
full_name: Hanusch, Maximilian
id: '30905'
last_name: Hanusch
citation:
ama: Hanusch M. Decompositions of Analytic 1-Manifolds. Indagationes Mathematicae.
2023;34(4):752-811. doi:10.1016/j.indag.2023.02.003
apa: Hanusch, M. (2023). Decompositions of Analytic 1-Manifolds. Indagationes
Mathematicae., 34(4), 752–811. https://doi.org/10.1016/j.indag.2023.02.003
bibtex: '@article{Hanusch_2023, title={Decompositions of Analytic 1-Manifolds},
volume={34}, DOI={10.1016/j.indag.2023.02.003},
number={4}, journal={Indagationes Mathematicae.}, author={Hanusch, Maximilian},
year={2023}, pages={752–811} }'
chicago: 'Hanusch, Maximilian. “Decompositions of Analytic 1-Manifolds.” Indagationes
Mathematicae. 34, no. 4 (2023): 752–811. https://doi.org/10.1016/j.indag.2023.02.003.'
ieee: 'M. Hanusch, “Decompositions of Analytic 1-Manifolds,” Indagationes Mathematicae.,
vol. 34, no. 4, pp. 752–811, 2023, doi: 10.1016/j.indag.2023.02.003.'
mla: Hanusch, Maximilian. “Decompositions of Analytic 1-Manifolds.” Indagationes
Mathematicae., vol. 34, no. 4, 2023, pp. 752–811, doi:10.1016/j.indag.2023.02.003.
short: M. Hanusch, Indagationes Mathematicae. 34 (2023) 752–811.
date_created: 2022-12-22T09:46:36Z
date_updated: 2023-05-25T07:32:38Z
department:
- _id: '93'
doi: 10.1016/j.indag.2023.02.003
intvolume: ' 34'
issue: '4'
keyword:
- Lie group actions and analytic 1-submanifolds
language:
- iso: eng
page: 752-811
publication: Indagationes Mathematicae.
publication_status: published
status: public
title: Decompositions of Analytic 1-Manifolds
type: journal_article
user_id: '30905'
volume: 34
year: '2023'
...
---
_id: '45498'
abstract:
- lang: eng
text: "We present a novel method for high-order phase reduction in networks of\r\nweakly
coupled oscillators and, more generally, perturbations of reducible\r\nnormally
hyperbolic (quasi-)periodic tori. Our method works by computing an\r\nasymptotic
expansion for an embedding of the perturbed invariant torus, as well\r\nas for
the reduced phase dynamics in local coordinates. Both can be determined\r\nto
arbitrary degrees of accuracy, and we show that the phase dynamics may\r\ndirectly
be obtained in normal form. We apply the method to predict remote\r\nsynchronisation
in a chain of coupled Stuart-Landau oscillators."
author:
- first_name: Sören
full_name: von der Gracht, Sören
id: '97359'
last_name: von der Gracht
orcid: 0000-0002-8054-2058
- first_name: Eddie
full_name: Nijholt, Eddie
last_name: Nijholt
- first_name: Bob
full_name: Rink, Bob
last_name: Rink
citation:
ama: von der Gracht S, Nijholt E, Rink B. A parametrisation method for high-order
phase reduction in coupled oscillator networks. arXiv:230603320.
apa: von der Gracht, S., Nijholt, E., & Rink, B. (n.d.). A parametrisation method
for high-order phase reduction in coupled oscillator networks. In arXiv:2306.03320.
bibtex: '@article{von der Gracht_Nijholt_Rink, title={A parametrisation method for
high-order phase reduction in coupled oscillator networks}, journal={arXiv:2306.03320},
author={von der Gracht, Sören and Nijholt, Eddie and Rink, Bob} }'
chicago: Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “A Parametrisation
Method for High-Order Phase Reduction in Coupled Oscillator Networks.” ArXiv:2306.03320,
n.d.
ieee: S. von der Gracht, E. Nijholt, and B. Rink, “A parametrisation method for
high-order phase reduction in coupled oscillator networks,” arXiv:2306.03320.
.
mla: von der Gracht, Sören, et al. “A Parametrisation Method for High-Order Phase
Reduction in Coupled Oscillator Networks.” ArXiv:2306.03320.
short: S. von der Gracht, E. Nijholt, B. Rink, ArXiv:2306.03320 (n.d.).
date_created: 2023-06-07T07:57:28Z
date_updated: 2023-06-07T07:59:06Z
department:
- _id: '101'
external_id:
arxiv:
- '2306.03320'
language:
- iso: eng
main_file_link:
- url: https://arxiv.org/pdf/2306.03320
page: '29'
publication: arXiv:2306.03320
publication_status: submitted
status: public
title: A parametrisation method for high-order phase reduction in coupled oscillator
networks
type: preprint
user_id: '97359'
year: '2023'
...
---
_id: '45712'
author:
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
citation:
ama: Häsel-Weide U. Inklusiver Mathematikunterricht. Mathematiklernen in Vielfalt
von Kompetenzen, Wegen und Lernsituationen. Die Grundschulzeitschrift.
2023;(339):6-11.
apa: Häsel-Weide, U. (2023). Inklusiver Mathematikunterricht. Mathematiklernen
in Vielfalt von Kompetenzen, Wegen und Lernsituationen. Die Grundschulzeitschrift,
339, 6–11.
bibtex: '@article{Häsel-Weide_2023, title={ Inklusiver Mathematikunterricht. Mathematiklernen
in Vielfalt von Kompetenzen, Wegen und Lernsituationen}, number={339}, journal={Die
Grundschulzeitschrift}, publisher={Friedrich Verlag}, author={Häsel-Weide, Uta},
year={2023}, pages={6–11} }'
chicago: 'Häsel-Weide, Uta. “ Inklusiver Mathematikunterricht. Mathematiklernen
in Vielfalt von Kompetenzen, Wegen und Lernsituationen.” Die Grundschulzeitschrift,
no. 339 (2023): 6–11.'
ieee: U. Häsel-Weide, “ Inklusiver Mathematikunterricht. Mathematiklernen in Vielfalt
von Kompetenzen, Wegen und Lernsituationen,” Die Grundschulzeitschrift,
no. 339, pp. 6–11, 2023.
mla: Häsel-Weide, Uta. “ Inklusiver Mathematikunterricht. Mathematiklernen in Vielfalt
von Kompetenzen, Wegen und Lernsituationen.” Die Grundschulzeitschrift,
no. 339, Friedrich Verlag, 2023, pp. 6–11.
short: U. Häsel-Weide, Die Grundschulzeitschrift (2023) 6–11.
date_created: 2023-06-22T09:28:22Z
date_updated: 2023-06-22T09:34:13Z
department:
- _id: '543'
issue: '339'
language:
- iso: ger
page: 6-11
publication: Die Grundschulzeitschrift
publisher: Friedrich Verlag
related_material:
link:
- relation: other
url: https://www.friedrich-verlag.de/grundschule/die-grundschulzeitschrift/mathematikunterricht-inklusiv-5991
status: public
title: ' Inklusiver Mathematikunterricht. Mathematiklernen in Vielfalt von Kompetenzen,
Wegen und Lernsituationen'
type: journal_article
user_id: '44184'
year: '2023'
...
---
_id: '45713'
author:
- first_name: Lara Marie
full_name: Graf, Lara Marie
id: '89837'
last_name: Graf
- first_name: Inga
full_name: Wienhues, Inga
id: '61635'
last_name: Wienhues
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
citation:
ama: Graf LM, Wienhues I, Häsel-Weide U. Addition und Subtraktion verstehen. Die
Grundschulzeitschrift. 2023;(339):20-23.
apa: Graf, L. M., Wienhues, I., & Häsel-Weide, U. (2023). Addition und Subtraktion
verstehen. Die Grundschulzeitschrift, 339, 20–23.
bibtex: '@article{Graf_Wienhues_Häsel-Weide_2023, title={Addition und Subtraktion
verstehen}, number={339}, journal={Die Grundschulzeitschrift}, publisher={Friedrich
Verlag}, author={Graf, Lara Marie and Wienhues, Inga and Häsel-Weide, Uta}, year={2023},
pages={20–23} }'
chicago: 'Graf, Lara Marie, Inga Wienhues, and Uta Häsel-Weide. “Addition und Subtraktion
verstehen.” Die Grundschulzeitschrift, no. 339 (2023): 20–23.'
ieee: L. M. Graf, I. Wienhues, and U. Häsel-Weide, “Addition und Subtraktion verstehen,”
Die Grundschulzeitschrift, no. 339, pp. 20–23, 2023.
mla: Graf, Lara Marie, et al. “Addition und Subtraktion verstehen.” Die Grundschulzeitschrift,
no. 339, Friedrich Verlag, 2023, pp. 20–23.
short: L.M. Graf, I. Wienhues, U. Häsel-Weide, Die Grundschulzeitschrift (2023)
20–23.
date_created: 2023-06-22T09:33:59Z
date_updated: 2023-06-22T09:34:18Z
department:
- _id: '543'
issue: '339'
language:
- iso: ger
page: 20-23
publication: Die Grundschulzeitschrift
publisher: Friedrich Verlag
related_material:
link:
- relation: other
url: https://www.friedrich-verlag.de/grundschule/die-grundschulzeitschrift/mathematikunterricht-inklusiv-5991
status: public
title: Addition und Subtraktion verstehen
type: journal_article
user_id: '44184'
year: '2023'
...
---
_id: '45786'
abstract:
- lang: eng
text: Intending to counteract Klein’s second discontinuity in teacher education,
we explored and applied the innovation of “interface ePortfolio” in the context
of a geometry course for preservice teachers (PSTs). The tool offers the possibility
of implementing the design principle of profession orientation. In the article,
we theoretically clarify what we understand by this principle and locate our innovative
concept against this theoretical background. We empirically investigate the extent
to which counteraction against the second discontinuity is successful by analyzing
reflection texts created in the interface ePortfolio, focusing on PSTs’ perspectives.
Our qualitative content analysis shows that most of them perceive the innovation
as helpful in the intended sense and indicates that the course concept, in general,
and the interface ePortfolio, in particular, have helped establish relevant links
between the course content and their later work as teachers.
article_type: original
author:
- first_name: Max
full_name: Hoffmann, Max
id: '32202'
last_name: Hoffmann
orcid: 0000-0002-6964-7123
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: Hoffmann M, Biehler R. Implementing profession orientation as a design principle
for overcoming Klein’s second discontinuity – preservice teacher’s perspectives
on interface activities in the context of a geometry course. ZDM – Mathematics
Education. Published online 2023. doi:10.1007/s11858-023-01505-3
apa: Hoffmann, M., & Biehler, R. (2023). Implementing profession orientation
as a design principle for overcoming Klein’s second discontinuity – preservice
teacher’s perspectives on interface activities in the context of a geometry course.
ZDM – Mathematics Education. https://doi.org/10.1007/s11858-023-01505-3
bibtex: '@article{Hoffmann_Biehler_2023, title={Implementing profession orientation
as a design principle for overcoming Klein’s second discontinuity – preservice
teacher’s perspectives on interface activities in the context of a geometry course},
DOI={10.1007/s11858-023-01505-3},
journal={ZDM – Mathematics Education}, publisher={Springer}, author={Hoffmann,
Max and Biehler, Rolf}, year={2023} }'
chicago: Hoffmann, Max, and Rolf Biehler. “Implementing Profession Orientation as
a Design Principle for Overcoming Klein’s Second Discontinuity – Preservice Teacher’s
Perspectives on Interface Activities in the Context of a Geometry Course.” ZDM
– Mathematics Education, 2023. https://doi.org/10.1007/s11858-023-01505-3.
ieee: 'M. Hoffmann and R. Biehler, “Implementing profession orientation as a design
principle for overcoming Klein’s second discontinuity – preservice teacher’s perspectives
on interface activities in the context of a geometry course,” ZDM – Mathematics
Education, 2023, doi: 10.1007/s11858-023-01505-3.'
mla: Hoffmann, Max, and Rolf Biehler. “Implementing Profession Orientation as a
Design Principle for Overcoming Klein’s Second Discontinuity – Preservice Teacher’s
Perspectives on Interface Activities in the Context of a Geometry Course.” ZDM
– Mathematics Education, Springer, 2023, doi:10.1007/s11858-023-01505-3.
short: M. Hoffmann, R. Biehler, ZDM – Mathematics Education (2023).
date_created: 2023-06-27T11:45:25Z
date_updated: 2023-07-13T09:41:20Z
ddc:
- '510'
- '370'
department:
- _id: '97'
- _id: '643'
doi: 10.1007/s11858-023-01505-3
file:
- access_level: closed
content_type: application/pdf
creator: maxh
date_created: 2023-07-13T09:40:02Z
date_updated: 2023-07-13T09:40:02Z
file_id: '46041'
file_name: s11858-023-01505-3.pdf
file_size: 1460246
relation: main_file
success: 1
file_date_updated: 2023-07-13T09:40:02Z
has_accepted_license: '1'
keyword:
- General Mathematics
- Education
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://link.springer.com/article/10.1007/s11858-023-01505-3
oa: '1'
publication: ZDM – Mathematics Education
publication_identifier:
issn:
- 1863-9690
- 1863-9704
publication_status: published
publisher: Springer
quality_controlled: '1'
status: public
title: Implementing profession orientation as a design principle for overcoming Klein’s
second discontinuity – preservice teacher’s perspectives on interface activities
in the context of a geometry course
type: journal_article
user_id: '32202'
year: '2023'
...