---
_id: '45331'
alternative_title:
- (Studien zur theoretischen und empirischen Forschung in der Mathematikdidaktik)
author:
- first_name: Johanna
full_name: Schönherr, Johanna
id: '99409'
last_name: Schönherr
citation:
ama: 'Schönherr J. Selbst erstellte Skizzen beim mathematischen Modellieren:
Ergebnisse einer empirischen Untersuchung [Self-generated drawings for modelling
problems: Findings of an empirical study]. Springer Spektrum; 2019.'
apa: 'Schönherr, J. (2019). Selbst erstellte Skizzen beim mathematischen Modellieren:
Ergebnisse einer empirischen Untersuchung [Self-generated drawings for modelling
problems: Findings of an empirical study]. Springer Spektrum.'
bibtex: '@book{Schönherr_2019, place={Wiesbaden}, title={Selbst erstellte Skizzen
beim mathematischen Modellieren: Ergebnisse einer empirischen Untersuchung [Self-generated
drawings for modelling problems: Findings of an empirical study]}, publisher={Springer
Spektrum}, author={Schönherr, Johanna}, year={2019} }'
chicago: 'Schönherr, Johanna. Selbst erstellte Skizzen beim mathematischen Modellieren:
Ergebnisse einer empirischen Untersuchung [Self-generated drawings for modelling
problems: Findings of an empirical study]. Wiesbaden: Springer Spektrum, 2019.'
ieee: 'J. Schönherr, Selbst erstellte Skizzen beim mathematischen Modellieren:
Ergebnisse einer empirischen Untersuchung [Self-generated drawings for modelling
problems: Findings of an empirical study]. Wiesbaden: Springer Spektrum, 2019.'
mla: 'Schönherr, Johanna. Selbst erstellte Skizzen beim mathematischen Modellieren:
Ergebnisse einer empirischen Untersuchung [Self-generated drawings for modelling
problems: Findings of an empirical study]. Springer Spektrum, 2019.'
short: 'J. Schönherr, Selbst erstellte Skizzen beim mathematischen Modellieren:
Ergebnisse einer empirischen Untersuchung [Self-generated drawings for modelling
problems: Findings of an empirical study], Springer Spektrum, Wiesbaden, 2019.'
date_created: 2023-05-29T17:17:11Z
date_updated: 2023-06-20T19:29:45Z
department:
- _id: '97'
extern: '1'
language:
- iso: ger
place: Wiesbaden
publication_status: published
publisher: Springer Spektrum
status: public
title: 'Selbst erstellte Skizzen beim mathematischen Modellieren: Ergebnisse einer
empirischen Untersuchung [Self-generated drawings for modelling problems: Findings
of an empirical study]'
type: book
user_id: '49063'
year: '2019'
...
---
_id: '21'
abstract:
- lang: eng
text: "We address the general mathematical problem of computing the inverse p-th\r\nroot
of a given matrix in an efficient way. A new method to construct iteration\r\nfunctions
that allow calculating arbitrary p-th roots and their inverses of\r\nsymmetric
positive definite matrices is presented. We show that the order of\r\nconvergence
is at least quadratic and that adaptively adjusting a parameter q\r\nalways leads
to an even faster convergence. In this way, a better performance\r\nthan with
previously known iteration schemes is achieved. The efficiency of the\r\niterative
functions is demonstrated for various matrices with different\r\ndensities, condition
numbers and spectral radii."
author:
- first_name: Dorothee
full_name: Richters, Dorothee
last_name: Richters
- first_name: Michael
full_name: Lass, Michael
id: '24135'
last_name: Lass
orcid: 0000-0002-5708-7632
- first_name: Andrea
full_name: Walther, Andrea
last_name: Walther
- first_name: Christian
full_name: Plessl, Christian
id: '16153'
last_name: Plessl
orcid: 0000-0001-5728-9982
- first_name: Thomas
full_name: Kühne, Thomas
id: '49079'
last_name: Kühne
citation:
ama: Richters D, Lass M, Walther A, Plessl C, Kühne T. A General Algorithm to Calculate
the Inverse Principal p-th Root of Symmetric Positive Definite Matrices. Communications
in Computational Physics. 2019;25(2):564-585. doi:10.4208/cicp.OA-2018-0053
apa: Richters, D., Lass, M., Walther, A., Plessl, C., & Kühne, T. (2019). A
General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric Positive
Definite Matrices. Communications in Computational Physics, 25(2),
564–585. https://doi.org/10.4208/cicp.OA-2018-0053
bibtex: '@article{Richters_Lass_Walther_Plessl_Kühne_2019, title={A General Algorithm
to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite Matrices},
volume={25}, DOI={10.4208/cicp.OA-2018-0053},
number={2}, journal={Communications in Computational Physics}, publisher={Global
Science Press}, author={Richters, Dorothee and Lass, Michael and Walther, Andrea
and Plessl, Christian and Kühne, Thomas}, year={2019}, pages={564–585} }'
chicago: 'Richters, Dorothee, Michael Lass, Andrea Walther, Christian Plessl, and
Thomas Kühne. “A General Algorithm to Calculate the Inverse Principal P-Th Root
of Symmetric Positive Definite Matrices.” Communications in Computational Physics
25, no. 2 (2019): 564–85. https://doi.org/10.4208/cicp.OA-2018-0053.'
ieee: 'D. Richters, M. Lass, A. Walther, C. Plessl, and T. Kühne, “A General Algorithm
to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite Matrices,”
Communications in Computational Physics, vol. 25, no. 2, pp. 564–585, 2019,
doi: 10.4208/cicp.OA-2018-0053.'
mla: Richters, Dorothee, et al. “A General Algorithm to Calculate the Inverse Principal
P-Th Root of Symmetric Positive Definite Matrices.” Communications in Computational
Physics, vol. 25, no. 2, Global Science Press, 2019, pp. 564–85, doi:10.4208/cicp.OA-2018-0053.
short: D. Richters, M. Lass, A. Walther, C. Plessl, T. Kühne, Communications in
Computational Physics 25 (2019) 564–585.
date_created: 2017-07-25T14:48:26Z
date_updated: 2023-09-26T11:45:02Z
department:
- _id: '27'
- _id: '518'
- _id: '304'
- _id: '104'
doi: 10.4208/cicp.OA-2018-0053
external_id:
arxiv:
- '1703.02456'
intvolume: ' 25'
issue: '2'
language:
- iso: eng
page: 564-585
project:
- _id: '32'
grant_number: PL 595/2-1 / 320898746
name: Performance and Efficiency in HPC with Custom Computing
- _id: '52'
name: Computing Resources Provided by the Paderborn Center for Parallel Computing
publication: Communications in Computational Physics
publisher: Global Science Press
quality_controlled: '1'
status: public
title: A General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric
Positive Definite Matrices
type: journal_article
user_id: '15278'
volume: 25
year: '2019'
...
---
_id: '16711'
abstract:
- lang: eng
text: "Embedding techniques allow the approximations of finite dimensional\r\nattractors
and manifolds of infinite dimensional dynamical systems via\r\nsubdivision and
continuation methods. These approximations give a topological\r\none-to-one image
of the original set. In order to additionally reveal their\r\ngeometry we use
diffusion mapst o find intrinsic coordinates. We illustrate our\r\nresults on
the unstable manifold of the one-dimensional Kuramoto--Sivashinsky\r\nequation,
as well as for the attractor of the Mackey-Glass delay differential\r\nequation."
author:
- first_name: Raphael
full_name: Gerlach, Raphael
id: '32655'
last_name: Gerlach
- first_name: Péter
full_name: Koltai, Péter
last_name: Koltai
- first_name: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
citation:
ama: Gerlach R, Koltai P, Dellnitz M. Revealing the intrinsic geometry of finite
dimensional invariant sets of infinite dimensional dynamical systems. arXiv:190208824.
Published online 2019.
apa: Gerlach, R., Koltai, P., & Dellnitz, M. (2019). Revealing the intrinsic
geometry of finite dimensional invariant sets of infinite dimensional dynamical
systems. In arXiv:1902.08824.
bibtex: '@article{Gerlach_Koltai_Dellnitz_2019, title={Revealing the intrinsic geometry
of finite dimensional invariant sets of infinite dimensional dynamical systems},
journal={arXiv:1902.08824}, author={Gerlach, Raphael and Koltai, Péter and Dellnitz,
Michael}, year={2019} }'
chicago: Gerlach, Raphael, Péter Koltai, and Michael Dellnitz. “Revealing the Intrinsic
Geometry of Finite Dimensional Invariant Sets of Infinite Dimensional Dynamical
Systems.” ArXiv:1902.08824, 2019.
ieee: R. Gerlach, P. Koltai, and M. Dellnitz, “Revealing the intrinsic geometry
of finite dimensional invariant sets of infinite dimensional dynamical systems,”
arXiv:1902.08824. 2019.
mla: Gerlach, Raphael, et al. “Revealing the Intrinsic Geometry of Finite Dimensional
Invariant Sets of Infinite Dimensional Dynamical Systems.” ArXiv:1902.08824,
2019.
short: R. Gerlach, P. Koltai, M. Dellnitz, ArXiv:1902.08824 (2019).
date_created: 2020-04-16T14:06:21Z
date_updated: 2024-09-24T12:09:27Z
ddc:
- '510'
department:
- _id: '101'
external_id:
arxiv:
- '1902.08824'
has_accepted_license: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1902.08824
oa: '1'
publication: arXiv:1902.08824
status: public
title: Revealing the intrinsic geometry of finite dimensional invariant sets of infinite
dimensional dynamical systems
type: preprint
user_id: '32655'
year: '2019'
...
---
_id: '56248'
author:
- first_name: Joachim
full_name: Engel, Joachim
last_name: Engel
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Daniel
full_name: Frischemeier, Daniel
last_name: Frischemeier
- first_name: Susanne
full_name: Podworny, Susanne
id: '30619'
last_name: Podworny
orcid: 0000-0002-6313-5987
- first_name: Achim
full_name: Schiller, Achim
last_name: Schiller
- first_name: Laura
full_name: Martignon, Laura
last_name: Martignon
citation:
ama: 'Engel J, Biehler R, Frischemeier D, Podworny S, Schiller A, Martignon L. Erratum
to: Zivilstatistik: Konzept einer neuen Perspektive auf Data Literacy und Statistical
Literacy. AStA Wirtschafts- und Sozialstatistisches Archiv. 2019;14(1):113-114.
doi:10.1007/s11943-019-00266-4'
apa: 'Engel, J., Biehler, R., Frischemeier, D., Podworny, S., Schiller, A., &
Martignon, L. (2019). Erratum to: Zivilstatistik: Konzept einer neuen Perspektive
auf Data Literacy und Statistical Literacy. AStA Wirtschafts- Und Sozialstatistisches
Archiv, 14(1), 113–114. https://doi.org/10.1007/s11943-019-00266-4'
bibtex: '@article{Engel_Biehler_Frischemeier_Podworny_Schiller_Martignon_2019, title={Erratum
to: Zivilstatistik: Konzept einer neuen Perspektive auf Data Literacy und Statistical
Literacy}, volume={14}, DOI={10.1007/s11943-019-00266-4},
number={1}, journal={AStA Wirtschafts- und Sozialstatistisches Archiv}, publisher={Springer
Science and Business Media LLC}, author={Engel, Joachim and Biehler, Rolf and
Frischemeier, Daniel and Podworny, Susanne and Schiller, Achim and Martignon,
Laura}, year={2019}, pages={113–114} }'
chicago: 'Engel, Joachim, Rolf Biehler, Daniel Frischemeier, Susanne Podworny, Achim
Schiller, and Laura Martignon. “Erratum to: Zivilstatistik: Konzept Einer Neuen
Perspektive Auf Data Literacy Und Statistical Literacy.” AStA Wirtschafts-
Und Sozialstatistisches Archiv 14, no. 1 (2019): 113–14. https://doi.org/10.1007/s11943-019-00266-4.'
ieee: 'J. Engel, R. Biehler, D. Frischemeier, S. Podworny, A. Schiller, and L. Martignon,
“Erratum to: Zivilstatistik: Konzept einer neuen Perspektive auf Data Literacy
und Statistical Literacy,” AStA Wirtschafts- und Sozialstatistisches Archiv,
vol. 14, no. 1, pp. 113–114, 2019, doi: 10.1007/s11943-019-00266-4.'
mla: 'Engel, Joachim, et al. “Erratum to: Zivilstatistik: Konzept Einer Neuen Perspektive
Auf Data Literacy Und Statistical Literacy.” AStA Wirtschafts- Und Sozialstatistisches
Archiv, vol. 14, no. 1, Springer Science and Business Media LLC, 2019, pp.
113–14, doi:10.1007/s11943-019-00266-4.'
short: J. Engel, R. Biehler, D. Frischemeier, S. Podworny, A. Schiller, L. Martignon,
AStA Wirtschafts- Und Sozialstatistisches Archiv 14 (2019) 113–114.
date_created: 2024-09-25T08:19:16Z
date_updated: 2024-09-25T08:27:59Z
department:
- _id: '363'
doi: 10.1007/s11943-019-00266-4
intvolume: ' 14'
issue: '1'
language:
- iso: eng
main_file_link:
- url: https://link.springer.com/article/10.1007/s11943-019-00266-4
page: 113-114
publication: AStA Wirtschafts- und Sozialstatistisches Archiv
publication_identifier:
issn:
- 1863-8155
- 1863-8163
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: 'Erratum to: Zivilstatistik: Konzept einer neuen Perspektive auf Data Literacy
und Statistical Literacy'
type: journal_article
user_id: '37888'
volume: 14
year: '2019'
...
---
_id: '56245'
author:
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: 'Biehler R. Allgemeinbildung, Mathematical Literacy, and Competence Orientation.
In: Jahnke HN, Hefendehl-Hebeker L, eds. ICME-13 Monographs. Springer International
Publishing; 2019. doi:10.1007/978-3-030-11069-7_6'
apa: Biehler, R. (2019). Allgemeinbildung, Mathematical Literacy, and Competence
Orientation. In H. N. Jahnke & L. Hefendehl-Hebeker (Eds.), ICME-13 Monographs.
Springer International Publishing. https://doi.org/10.1007/978-3-030-11069-7_6
bibtex: '@inbook{Biehler_2019, place={Cham}, title={Allgemeinbildung, Mathematical
Literacy, and Competence Orientation}, DOI={10.1007/978-3-030-11069-7_6},
booktitle={ICME-13 Monographs}, publisher={Springer International Publishing},
author={Biehler, Rolf}, editor={Jahnke, H. N. and Hefendehl-Hebeker, L.}, year={2019}
}'
chicago: 'Biehler, Rolf. “Allgemeinbildung, Mathematical Literacy, and Competence
Orientation.” In ICME-13 Monographs, edited by H. N. Jahnke and L. Hefendehl-Hebeker.
Cham: Springer International Publishing, 2019. https://doi.org/10.1007/978-3-030-11069-7_6.'
ieee: 'R. Biehler, “Allgemeinbildung, Mathematical Literacy, and Competence Orientation,”
in ICME-13 Monographs, H. N. Jahnke and L. Hefendehl-Hebeker, Eds. Cham:
Springer International Publishing, 2019.'
mla: Biehler, Rolf. “Allgemeinbildung, Mathematical Literacy, and Competence Orientation.”
ICME-13 Monographs, edited by H. N. Jahnke and L. Hefendehl-Hebeker, Springer
International Publishing, 2019, doi:10.1007/978-3-030-11069-7_6.
short: 'R. Biehler, in: H.N. Jahnke, L. Hefendehl-Hebeker (Eds.), ICME-13 Monographs,
Springer International Publishing, Cham, 2019.'
date_created: 2024-09-25T08:12:22Z
date_updated: 2024-09-25T08:27:36Z
department:
- _id: '363'
doi: 10.1007/978-3-030-11069-7_6
editor:
- first_name: H. N.
full_name: Jahnke, H. N.
last_name: Jahnke
- first_name: L.
full_name: Hefendehl-Hebeker, L.
last_name: Hefendehl-Hebeker
language:
- iso: eng
main_file_link:
- url: https://link.springer.com/chapter/10.1007/978-3-030-11069-7_6
place: Cham
publication: ICME-13 Monographs
publication_identifier:
isbn:
- '9783030110680'
- '9783030110697'
issn:
- 2520-8322
- 2520-8330
publication_status: published
publisher: Springer International Publishing
status: public
title: Allgemeinbildung, Mathematical Literacy, and Competence Orientation
type: book_chapter
user_id: '37888'
year: '2019'
...
---
_id: '56247'
author:
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: 'Biehler R. Software for learning and for doing statistics and probability–Looking
back and looking forward from a personal perspective. In: Contreras JM, Gea MM,
Lopez-Martin MM, Molina-Portillo E, eds. Proceedings of the Third International
Virtual Congress of Statistical Education. Universidad de Granada; 2019.'
apa: Biehler, R. (2019). Software for learning and for doing statistics and probability–Looking
back and looking forward from a personal perspective. In J. M. Contreras, M. M.
Gea, M. M. Lopez-Martin, & E. Molina-Portillo (Eds.), Proceedings of the
Third International Virtual Congress of Statistical Education. Universidad
de Granada.
bibtex: '@inbook{Biehler_2019, title={Software for learning and for doing statistics
and probability–Looking back and looking forward from a personal perspective},
booktitle={Proceedings of the Third International Virtual Congress of Statistical
Education}, publisher={Universidad de Granada}, author={Biehler, Rolf}, editor={Contreras,
J. M. and Gea, M. M. and Lopez-Martin, M. M. and Molina-Portillo, E.}, year={2019}
}'
chicago: Biehler, Rolf. “Software for Learning and for Doing Statistics and Probability–Looking
Back and Looking Forward from a Personal Perspective.” In Proceedings of the
Third International Virtual Congress of Statistical Education, edited by J.
M. Contreras, M. M. Gea, M. M. Lopez-Martin, and E. Molina-Portillo. Universidad
de Granada, 2019.
ieee: R. Biehler, “Software for learning and for doing statistics and probability–Looking
back and looking forward from a personal perspective,” in Proceedings of the
Third International Virtual Congress of Statistical Education, J. M. Contreras,
M. M. Gea, M. M. Lopez-Martin, and E. Molina-Portillo, Eds. Universidad de Granada,
2019.
mla: Biehler, Rolf. “Software for Learning and for Doing Statistics and Probability–Looking
Back and Looking Forward from a Personal Perspective.” Proceedings of the Third
International Virtual Congress of Statistical Education, edited by J. M. Contreras
et al., Universidad de Granada, 2019.
short: 'R. Biehler, in: J.M. Contreras, M.M. Gea, M.M. Lopez-Martin, E. Molina-Portillo
(Eds.), Proceedings of the Third International Virtual Congress of Statistical
Education, Universidad de Granada, 2019.'
date_created: 2024-09-25T08:16:21Z
date_updated: 2024-09-25T08:27:48Z
department:
- _id: '363'
editor:
- first_name: J. M.
full_name: Contreras, J. M.
last_name: Contreras
- first_name: M. M.
full_name: Gea, M. M.
last_name: Gea
- first_name: M. M.
full_name: Lopez-Martin, M. M.
last_name: Lopez-Martin
- first_name: E.
full_name: Molina-Portillo, E.
last_name: Molina-Portillo
language:
- iso: eng
main_file_link:
- url: https://digibug.ugr.es/handle/10481/55033
publication: Proceedings of the Third International Virtual Congress of Statistical
Education
publisher: Universidad de Granada
status: public
title: Software for learning and for doing statistics and probability–Looking back
and looking forward from a personal perspective
type: book_chapter
user_id: '37888'
year: '2019'
...
---
_id: '56252'
author:
- first_name: Daniel
full_name: Frischemeier, Daniel
last_name: Frischemeier
- first_name: Susanne
full_name: Podworny, Susanne
id: '30619'
last_name: Podworny
orcid: 0000-0002-6313-5987
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: Frischemeier D, Podworny S, Biehler R. Chancen und Herausforderungen für die
Implementation von Zivilstatistiken in der Lehramtsausbildung. Stochastik in
der Schule. 2019;39(1):26-33.
apa: Frischemeier, D., Podworny, S., & Biehler, R. (2019). Chancen und Herausforderungen
für die Implementation von Zivilstatistiken in der Lehramtsausbildung. Stochastik
in Der Schule, 39(1), 26–33.
bibtex: '@article{Frischemeier_Podworny_Biehler_2019, title={Chancen und Herausforderungen
für die Implementation von Zivilstatistiken in der Lehramtsausbildung}, volume={39},
number={1}, journal={Stochastik in der Schule}, author={Frischemeier, Daniel and
Podworny, Susanne and Biehler, Rolf}, year={2019}, pages={26–33} }'
chicago: 'Frischemeier, Daniel, Susanne Podworny, and Rolf Biehler. “Chancen Und
Herausforderungen Für Die Implementation von Zivilstatistiken in Der Lehramtsausbildung.”
Stochastik in Der Schule 39, no. 1 (2019): 26–33.'
ieee: D. Frischemeier, S. Podworny, and R. Biehler, “Chancen und Herausforderungen
für die Implementation von Zivilstatistiken in der Lehramtsausbildung,” Stochastik
in der Schule, vol. 39, no. 1, pp. 26–33, 2019.
mla: Frischemeier, Daniel, et al. “Chancen Und Herausforderungen Für Die Implementation
von Zivilstatistiken in Der Lehramtsausbildung.” Stochastik in Der Schule,
vol. 39, no. 1, 2019, pp. 26–33.
short: D. Frischemeier, S. Podworny, R. Biehler, Stochastik in Der Schule 39 (2019)
26–33.
date_created: 2024-09-25T08:40:23Z
date_updated: 2024-09-25T08:40:28Z
department:
- _id: '363'
intvolume: ' 39'
issue: '1'
language:
- iso: eng
page: 26-33
publication: Stochastik in der Schule
status: public
title: Chancen und Herausforderungen für die Implementation von Zivilstatistiken
in der Lehramtsausbildung
type: journal_article
user_id: '37888'
volume: 39
year: '2019'
...
---
_id: '56259'
author:
- first_name: Ralf
full_name: Nieszporek, Ralf
last_name: Nieszporek
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: 'Nieszporek R, Biehler R. Retrospective competence assessment in a PD course
on teaching statistics with digital tools in upper secondary schools. In: Jankvist
UT, van den Heuvel-Panhuizen M, Veldhuis M, eds. Proceedings of the Eleventh
Congress of the European Society for Research in Mathematics Education. Freudenthal
Group & Freudenthal Institute, Utrecht University and ERME; 2019.'
apa: Nieszporek, R., & Biehler, R. (2019). Retrospective competence assessment
in a PD course on teaching statistics with digital tools in upper secondary schools.
In U. T. Jankvist, M. van den Heuvel-Panhuizen, & M. Veldhuis (Eds.), Proceedings
of the Eleventh Congress of the European Society for Research in Mathematics Education.
Freudenthal Group & Freudenthal Institute, Utrecht University and ERME.
bibtex: '@inbook{Nieszporek_Biehler_2019, place={Utrecht, the Netherlands}, title={Retrospective
competence assessment in a PD course on teaching statistics with digital tools
in upper secondary schools}, booktitle={Proceedings of the Eleventh Congress of
the European Society for Research in Mathematics Education}, publisher={Freudenthal
Group & Freudenthal Institute, Utrecht University and ERME}, author={Nieszporek,
Ralf and Biehler, Rolf}, editor={Jankvist, U. T. and van den Heuvel-Panhuizen,
M. and Veldhuis, M.}, year={2019} }'
chicago: 'Nieszporek, Ralf, and Rolf Biehler. “Retrospective Competence Assessment
in a PD Course on Teaching Statistics with Digital Tools in Upper Secondary Schools.”
In Proceedings of the Eleventh Congress of the European Society for Research
in Mathematics Education, edited by U. T. Jankvist, M. van den Heuvel-Panhuizen,
and M. Veldhuis. Utrecht, the Netherlands: Freudenthal Group & Freudenthal
Institute, Utrecht University and ERME, 2019.'
ieee: 'R. Nieszporek and R. Biehler, “Retrospective competence assessment in a PD
course on teaching statistics with digital tools in upper secondary schools,”
in Proceedings of the Eleventh Congress of the European Society for Research
in Mathematics Education, U. T. Jankvist, M. van den Heuvel-Panhuizen, and
M. Veldhuis, Eds. Utrecht, the Netherlands: Freudenthal Group & Freudenthal
Institute, Utrecht University and ERME, 2019.'
mla: Nieszporek, Ralf, and Rolf Biehler. “Retrospective Competence Assessment in
a PD Course on Teaching Statistics with Digital Tools in Upper Secondary Schools.”
Proceedings of the Eleventh Congress of the European Society for Research in
Mathematics Education, edited by U. T. Jankvist et al., Freudenthal Group
& Freudenthal Institute, Utrecht University and ERME, 2019.
short: 'R. Nieszporek, R. Biehler, in: U.T. Jankvist, M. van den Heuvel-Panhuizen,
M. Veldhuis (Eds.), Proceedings of the Eleventh Congress of the European Society
for Research in Mathematics Education, Freudenthal Group & Freudenthal Institute,
Utrecht University and ERME, Utrecht, the Netherlands, 2019.'
date_created: 2024-09-25T08:56:43Z
date_updated: 2024-09-25T08:59:22Z
department:
- _id: '363'
editor:
- first_name: U. T.
full_name: Jankvist, U. T.
last_name: Jankvist
- first_name: M.
full_name: van den Heuvel-Panhuizen, M.
last_name: van den Heuvel-Panhuizen
- first_name: M.
full_name: Veldhuis, M.
last_name: Veldhuis
language:
- iso: eng
main_file_link:
- url: https://hal.science/hal-02422582/
place: Utrecht, the Netherlands
publication: Proceedings of the Eleventh Congress of the European Society for Research
in Mathematics Education
publisher: Freudenthal Group & Freudenthal Institute, Utrecht University and ERME
status: public
title: Retrospective competence assessment in a PD course on teaching statistics with
digital tools in upper secondary schools
type: book_chapter
user_id: '37888'
year: '2019'
...
---
_id: '56257'
author:
- first_name: Tobias
full_name: Mai, Tobias
last_name: Mai
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: 'Mai T, Biehler R. On the Introduction of Vectors in German Textbooks for Upper
Secondary School. In: Rezat S, Lianghuo F, Hattermann M, Schumacher J, Wuschke
H, eds. Proceedings of the Third International Conference on Mathametics Textbook
Research and Development. Vol 16. Universitätsbibliothek Paderborn; 2019:233-238.'
apa: Mai, T., & Biehler, R. (2019). On the Introduction of Vectors in German
Textbooks for Upper Secondary School. In S. Rezat, F. Lianghuo, M. Hattermann,
J. Schumacher, & H. Wuschke (Eds.), Proceedings of the Third International
Conference on Mathametics Textbook research and Development (Vol. 16, pp.
233–238). Universitätsbibliothek Paderborn.
bibtex: '@inbook{Mai_Biehler_2019, place={Paderborn}, title={On the Introduction
of Vectors in German Textbooks for Upper Secondary School}, volume={16}, booktitle={Proceedings
of the Third International Conference on Mathametics Textbook research and Development},
publisher={Universitätsbibliothek Paderborn}, author={Mai, Tobias and Biehler,
Rolf}, editor={Rezat, S. and Lianghuo, F. and Hattermann, M. and Schumacher, J.
and Wuschke, H.}, year={2019}, pages={233–238} }'
chicago: 'Mai, Tobias, and Rolf Biehler. “On the Introduction of Vectors in German
Textbooks for Upper Secondary School.” In Proceedings of the Third International
Conference on Mathametics Textbook Research and Development, edited by S.
Rezat, F. Lianghuo, M. Hattermann, J. Schumacher, and H. Wuschke, 16:233–38. Paderborn:
Universitätsbibliothek Paderborn, 2019.'
ieee: 'T. Mai and R. Biehler, “On the Introduction of Vectors in German Textbooks
for Upper Secondary School,” in Proceedings of the Third International Conference
on Mathametics Textbook research and Development, vol. 16, S. Rezat, F. Lianghuo,
M. Hattermann, J. Schumacher, and H. Wuschke, Eds. Paderborn: Universitätsbibliothek
Paderborn, 2019, pp. 233–238.'
mla: Mai, Tobias, and Rolf Biehler. “On the Introduction of Vectors in German Textbooks
for Upper Secondary School.” Proceedings of the Third International Conference
on Mathametics Textbook Research and Development, edited by S. Rezat et al.,
vol. 16, Universitätsbibliothek Paderborn, 2019, pp. 233–38.
short: 'T. Mai, R. Biehler, in: S. Rezat, F. Lianghuo, M. Hattermann, J. Schumacher,
H. Wuschke (Eds.), Proceedings of the Third International Conference on Mathametics
Textbook Research and Development, Universitätsbibliothek Paderborn, Paderborn,
2019, pp. 233–238.'
date_created: 2024-09-25T08:51:50Z
date_updated: 2024-09-25T09:00:47Z
department:
- _id: '363'
editor:
- first_name: S.
full_name: Rezat, S.
last_name: Rezat
- first_name: F.
full_name: Lianghuo, F.
last_name: Lianghuo
- first_name: M.
full_name: Hattermann, M.
last_name: Hattermann
- first_name: J.
full_name: Schumacher, J.
last_name: Schumacher
- first_name: H.
full_name: Wuschke, H.
last_name: Wuschke
intvolume: ' 16'
language:
- iso: eng
main_file_link:
- url: https://vbn.aau.dk/ws/files/319795417/ICMT3_proceedings_third_international_mit_doi.pdf#page=236
page: 233-238
place: Paderborn
publication: Proceedings of the Third International Conference on Mathametics Textbook
research and Development
publisher: Universitätsbibliothek Paderborn
status: public
title: On the Introduction of Vectors in German Textbooks for Upper Secondary School
type: book_chapter
user_id: '37888'
volume: 16
year: '2019'
...
---
_id: '56255'
author:
- first_name: Leander
full_name: Kempen, Leander
last_name: Kempen
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: Kempen L, Biehler R. Fostering first-year pre-service teachers’ proof competencies.
ZDM. 2019;51(5):731-746. doi:10.1007/s11858-019-01035-x
apa: Kempen, L., & Biehler, R. (2019). Fostering first-year pre-service teachers’
proof competencies. ZDM, 51(5), 731–746. https://doi.org/10.1007/s11858-019-01035-x
bibtex: '@article{Kempen_Biehler_2019, title={Fostering first-year pre-service teachers’
proof competencies}, volume={51}, DOI={10.1007/s11858-019-01035-x},
number={5}, journal={ZDM}, publisher={Springer Science and Business Media LLC},
author={Kempen, Leander and Biehler, Rolf}, year={2019}, pages={731–746} }'
chicago: 'Kempen, Leander, and Rolf Biehler. “Fostering First-Year Pre-Service Teachers’
Proof Competencies.” ZDM 51, no. 5 (2019): 731–46. https://doi.org/10.1007/s11858-019-01035-x.'
ieee: 'L. Kempen and R. Biehler, “Fostering first-year pre-service teachers’ proof
competencies,” ZDM, vol. 51, no. 5, pp. 731–746, 2019, doi: 10.1007/s11858-019-01035-x.'
mla: Kempen, Leander, and Rolf Biehler. “Fostering First-Year Pre-Service Teachers’
Proof Competencies.” ZDM, vol. 51, no. 5, Springer Science and Business
Media LLC, 2019, pp. 731–46, doi:10.1007/s11858-019-01035-x.
short: L. Kempen, R. Biehler, ZDM 51 (2019) 731–746.
date_created: 2024-09-25T08:44:43Z
date_updated: 2024-09-25T08:51:04Z
department:
- _id: '363'
doi: 10.1007/s11858-019-01035-x
intvolume: ' 51'
issue: '5'
language:
- iso: eng
main_file_link:
- url: https://link.springer.com/article/10.1007/s11858-019-01035-x
page: 731-746
publication: ZDM
publication_identifier:
issn:
- 1863-9690
- 1863-9704
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Fostering first-year pre-service teachers’ proof competencies
type: journal_article
user_id: '37888'
volume: 51
year: '2019'
...
---
_id: '56256'
author:
- first_name: Elisa
full_name: Lankeit, Elisa
last_name: Lankeit
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: 'Lankeit E, Biehler R. Vorstellung einer Aufgabe zu den Zusammenhängen verschiedener
Differenzierbarkeitsbegriffe im Mehrdimensionalen. In: Klinger M, Schüler-Meyer
A, Wessel L, eds. Hanse-Kolloquium Zur Hochschuldidaktik Der Mathematik 2018.
WTM-Verlag; 2019:117-131.'
apa: Lankeit, E., & Biehler, R. (2019). Vorstellung einer Aufgabe zu den Zusammenhängen
verschiedener Differenzierbarkeitsbegriffe im Mehrdimensionalen. In M. Klinger,
A. Schüler-Meyer, & L. Wessel (Eds.), Hanse-Kolloquium zur Hochschuldidaktik
der Mathematik 2018 (pp. 117–131). WTM-Verlag.
bibtex: '@inbook{Lankeit_Biehler_2019, place={Münster}, title={Vorstellung einer
Aufgabe zu den Zusammenhängen verschiedener Differenzierbarkeitsbegriffe im Mehrdimensionalen},
booktitle={Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2018}, publisher={WTM-Verlag},
author={Lankeit, Elisa and Biehler, Rolf}, editor={Klinger, M. and Schüler-Meyer,
A. and Wessel, L.}, year={2019}, pages={117–131} }'
chicago: 'Lankeit, Elisa, and Rolf Biehler. “Vorstellung Einer Aufgabe Zu Den Zusammenhängen
Verschiedener Differenzierbarkeitsbegriffe Im Mehrdimensionalen.” In Hanse-Kolloquium
Zur Hochschuldidaktik Der Mathematik 2018, edited by M. Klinger, A. Schüler-Meyer,
and L. Wessel, 117–31. Münster: WTM-Verlag, 2019.'
ieee: 'E. Lankeit and R. Biehler, “Vorstellung einer Aufgabe zu den Zusammenhängen
verschiedener Differenzierbarkeitsbegriffe im Mehrdimensionalen,” in Hanse-Kolloquium
zur Hochschuldidaktik der Mathematik 2018, M. Klinger, A. Schüler-Meyer, and
L. Wessel, Eds. Münster: WTM-Verlag, 2019, pp. 117–131.'
mla: Lankeit, Elisa, and Rolf Biehler. “Vorstellung Einer Aufgabe Zu Den Zusammenhängen
Verschiedener Differenzierbarkeitsbegriffe Im Mehrdimensionalen.” Hanse-Kolloquium
Zur Hochschuldidaktik Der Mathematik 2018, edited by M. Klinger et al., WTM-Verlag,
2019, pp. 117–31.
short: 'E. Lankeit, R. Biehler, in: M. Klinger, A. Schüler-Meyer, L. Wessel (Eds.),
Hanse-Kolloquium Zur Hochschuldidaktik Der Mathematik 2018, WTM-Verlag, Münster,
2019, pp. 117–131.'
date_created: 2024-09-25T08:50:54Z
date_updated: 2024-09-25T08:51:07Z
department:
- _id: '363'
editor:
- first_name: M.
full_name: Klinger, M.
last_name: Klinger
- first_name: A.
full_name: Schüler-Meyer, A.
last_name: Schüler-Meyer
- first_name: L.
full_name: Wessel, L.
last_name: Wessel
language:
- iso: eng
page: 117-131
place: Münster
publication: Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2018
publisher: WTM-Verlag
status: public
title: Vorstellung einer Aufgabe zu den Zusammenhängen verschiedener Differenzierbarkeitsbegriffe
im Mehrdimensionalen
type: book_chapter
user_id: '37888'
year: '2019'
...
---
_id: '56789'
author:
- first_name: Ralf
full_name: Nieszporek, Ralf
last_name: Nieszporek
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Birgit
full_name: Griese, Birgit
last_name: Griese
citation:
ama: 'Nieszporek R, Biehler R, Griese B. Developments of teachers’ knowledge facets
in teaching statistics with digital tools measured with retrospective self-assessment.
In: Sorto MA, White A, Guyot L, eds. Looking Back, Looking Forward. Proceedings
of the Tenth International Conference on Teaching Sta-Tistics (ICOTS10, July,
2018), Kyoto, Japan. International Statistical Institute; 2019.'
apa: Nieszporek, R., Biehler, R., & Griese, B. (2019). Developments of teachers’
knowledge facets in teaching statistics with digital tools measured with retrospective
self-assessment. In M. A. Sorto, A. White, & L. Guyot (Eds.), Looking back,
looking forward. Proceedings of the Tenth International Conference on Teaching
Sta-tistics (ICOTS10, July, 2018), Kyoto, Japan. International Statistical
Institute.
bibtex: '@inbook{Nieszporek_Biehler_Griese_2019, place={Voorburg, The Netherlands},
title={Developments of teachers’ knowledge facets in teaching statistics with
digital tools measured with retrospective self-assessment}, booktitle={Looking
back, looking forward. Proceedings of the Tenth International Conference on Teaching
Sta-tistics (ICOTS10, July, 2018), Kyoto, Japan}, publisher={International Statistical
Institute}, author={Nieszporek, Ralf and Biehler, Rolf and Griese, Birgit}, editor={Sorto,
M.A. and White, A. and Guyot, L.}, year={2019} }'
chicago: 'Nieszporek, Ralf, Rolf Biehler, and Birgit Griese. “Developments of Teachers’
Knowledge Facets in Teaching Statistics with Digital Tools Measured with Retrospective
Self-Assessment.” In Looking Back, Looking Forward. Proceedings of the Tenth
International Conference on Teaching Sta-Tistics (ICOTS10, July, 2018), Kyoto,
Japan, edited by M.A. Sorto, A. White, and L. Guyot. Voorburg, The Netherlands:
International Statistical Institute, 2019.'
ieee: 'R. Nieszporek, R. Biehler, and B. Griese, “Developments of teachers’ knowledge
facets in teaching statistics with digital tools measured with retrospective self-assessment,”
in Looking back, looking forward. Proceedings of the Tenth International Conference
on Teaching Sta-tistics (ICOTS10, July, 2018), Kyoto, Japan, M. A. Sorto,
A. White, and L. Guyot, Eds. Voorburg, The Netherlands: International Statistical
Institute, 2019.'
mla: Nieszporek, Ralf, et al. “Developments of Teachers’ Knowledge Facets in Teaching
Statistics with Digital Tools Measured with Retrospective Self-Assessment.” Looking
Back, Looking Forward. Proceedings of the Tenth International Conference on Teaching
Sta-Tistics (ICOTS10, July, 2018), Kyoto, Japan, edited by M.A. Sorto et al.,
International Statistical Institute, 2019.
short: 'R. Nieszporek, R. Biehler, B. Griese, in: M.A. Sorto, A. White, L. Guyot
(Eds.), Looking Back, Looking Forward. Proceedings of the Tenth International
Conference on Teaching Sta-Tistics (ICOTS10, July, 2018), Kyoto, Japan, International
Statistical Institute, Voorburg, The Netherlands, 2019.'
date_created: 2024-10-29T11:04:26Z
date_updated: 2024-10-29T11:06:50Z
department:
- _id: '363'
editor:
- first_name: M.A.
full_name: Sorto, M.A.
last_name: Sorto
- first_name: A.
full_name: White, A.
last_name: White
- first_name: L.
full_name: Guyot, L.
last_name: Guyot
language:
- iso: eng
main_file_link:
- url: https://iase-web.org/icots/10/proceedings/pdfs/ICOTS10_C103.pdf
place: Voorburg, The Netherlands
publication: Looking back, looking forward. Proceedings of the Tenth International
Conference on Teaching Sta-tistics (ICOTS10, July, 2018), Kyoto, Japan
publisher: International Statistical Institute
status: public
title: Developments of teachers’ knowledge facets in teaching statistics with digital
tools measured with retrospective self-assessment
type: book_chapter
user_id: '37888'
year: '2019'
...
---
_id: '56246'
author:
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: 'Biehler R. The transition from calculus and to analysis—Conceptual analyses
and supporting steps for students. In: Monaghan J, Nardi E, Dreyfus T, eds. Calculus
in Upper Secondary and Beginning University Mathematics—Conference Proceedings.
MatRIC; 2019:4–17.'
apa: Biehler, R. (2019). The transition from calculus and to analysis—Conceptual
analyses and supporting steps for students. In J. Monaghan, E. Nardi, & T.
Dreyfus (Eds.), Calculus in upper secondary and beginning university mathematics—Conference
proceedings (pp. 4–17). MatRIC.
bibtex: '@inproceedings{Biehler_2019, place={Kristiansand, Norway}, title={The transition
from calculus and to analysis—Conceptual analyses and supporting steps for students},
booktitle={Calculus in upper secondary and beginning university mathematics—Conference
proceedings}, publisher={MatRIC}, author={Biehler, Rolf}, editor={Monaghan, J.
and Nardi, E. and Dreyfus, T.}, year={2019}, pages={4–17} }'
chicago: 'Biehler, Rolf. “The Transition from Calculus and to Analysis—Conceptual
Analyses and Supporting Steps for Students.” In Calculus in Upper Secondary
and Beginning University Mathematics—Conference Proceedings, edited by J.
Monaghan, E. Nardi, and T. Dreyfus, 4–17. Kristiansand, Norway: MatRIC, 2019.'
ieee: R. Biehler, “The transition from calculus and to analysis—Conceptual analyses
and supporting steps for students,” in Calculus in upper secondary and beginning
university mathematics—Conference proceedings, 2019, pp. 4–17.
mla: Biehler, Rolf. “The Transition from Calculus and to Analysis—Conceptual Analyses
and Supporting Steps for Students.” Calculus in Upper Secondary and Beginning
University Mathematics—Conference Proceedings, edited by J. Monaghan et al.,
MatRIC, 2019, pp. 4–17.
short: 'R. Biehler, in: J. Monaghan, E. Nardi, T. Dreyfus (Eds.), Calculus in Upper
Secondary and Beginning University Mathematics—Conference Proceedings, MatRIC,
Kristiansand, Norway, 2019, pp. 4–17.'
date_created: 2024-09-25T08:14:06Z
date_updated: 2024-11-12T11:05:42Z
ddc:
- '510'
department:
- _id: '363'
editor:
- first_name: J.
full_name: Monaghan, J.
last_name: Monaghan
- first_name: E.
full_name: Nardi, E.
last_name: Nardi
- first_name: T.
full_name: Dreyfus, T.
last_name: Dreyfus
file:
- access_level: closed
content_type: application/pdf
creator: krueter
date_created: 2024-11-12T11:05:25Z
date_updated: 2024-11-12T11:05:25Z
file_id: '57000'
file_name: Biehler_CalcConf2019_Papers_190910.pdf
file_size: 1765719
relation: main_file
success: 1
file_date_updated: 2024-11-12T11:05:25Z
has_accepted_license: '1'
language:
- iso: eng
page: 4–17
place: Kristiansand, Norway
publication: Calculus in upper secondary and beginning university mathematics—Conference
proceedings
publisher: MatRIC
status: public
title: The transition from calculus and to analysis—Conceptual analyses and supporting
steps for students
type: conference
user_id: '37888'
year: '2019'
...
---
_id: '14848'
abstract:
- lang: ger
text: Data Science und Big Data durchdringt in ihren diversen Facetten unser tägliches
Leben– kaum ein Tag, an dem nicht verschiedene Meldungen über technische Innovationen,
Einsatzmöglichkeiten von Künstlicher Intelligenz (KI) und Maschinelles Lernen
(ML) und ihre ethischen sowie gesellschaftlichen Implikationen in den unterschiedlichen
Medien diskutiert werden. Aus diesem Grund erscheint es uns immens wichtig, diese
Fragestellungen und Technologien auch in den Unterricht der Sekundarstufe II zu
integrieren. Um diesem Anspruch gerecht zu werden, entwickelten wir im Rahmen
eines Forschungsprojekts ein Curriculum, welches wir als konkretes Unterrichtskonzept
innerhalb eines Projektkurses erprobt, evaluiert weiterentwickelt wird. Bei der
Implementierung entschieden wir uns, zur aktiven Umsetzung von Konzepten von ML
als Plattform Jupyter Notebook mit Python zu verwenden, da diese Umgebung durch
die Verbindung von Code und Hypertext zur Dokumentation und Erklärung Medienbrüche
im Lernprozess verringern kann. Zudem ist Python zur Implementierung der Methoden
von ML sehr gut geeignet. Im Themenfeld des ML als Teilgebiet der KI legen wir
den Fokus auf zwei unterschiedliche Lernverfahren um verschieden Aspekte von ML,
u.A. wie Nachvollziehbarkeit unter gesellschaftlichen Gesichtspunkten zu vermitteln.
Diese sind Künstliche Neuronale Netze (bei denen die Berechnung und Bedeutung
der Kantengewichte zwischen den Neuronen für den Menschen insbesondere bei komplexeren
Netzen kaum nachvollziehbar erschienen) und Entscheidungsbäume (strukturierte
und gerichtete Bäume zur Darstellung von Entscheidungsregeln, welche auch für
Schülerinnen und Schüler meist gut nachvollziehbares und verständliches KI-Modell
darstellen). In diesem Workshop stellen wir konkrete Umsetzungsbeispiele inklusive
der Programmierung für beide Verfahren mit Jupyter Notebook und Python als Teil
einer Unterrichtssequenz vor und diskutieren diese.
author:
- first_name: Michael
full_name: Schlichtig, Michael
id: '32312'
last_name: Schlichtig
orcid: 0000-0001-6600-6171
- first_name: Simone
full_name: Opel, Simone
last_name: Opel
- first_name: Carsten
full_name: Schulte, Carsten
last_name: Schulte
- first_name: Rolf
full_name: Biehler, Rolf
last_name: Biehler
- first_name: Daniel
full_name: Frischemeier, Daniel
last_name: Frischemeier
- first_name: Susanne
full_name: Podworny, Susanne
last_name: Podworny
- first_name: Thomas
full_name: Wassong, Thomas
id: '21241'
last_name: Wassong
citation:
ama: 'Schlichtig M, Opel S, Schulte C, et al. Maschinelles Lernen im Unterricht
mit Jupyter Notebook. In: Pasternak A, ed. Informatik für alle. Gesellschaft
für Informatik; 2019:385.'
apa: Schlichtig, M., Opel, S., Schulte, C., Biehler, R., Frischemeier, D., Podworny,
S., & Wassong, T. (2019). Maschinelles Lernen im Unterricht mit Jupyter Notebook.
In A. Pasternak (Ed.), Informatik für alle (p. 385). Gesellschaft für Informatik.
bibtex: '@inproceedings{Schlichtig_Opel_Schulte_Biehler_Frischemeier_Podworny_Wassong_2019,
place={Bonn}, title={Maschinelles Lernen im Unterricht mit Jupyter Notebook},
booktitle={Informatik für alle}, publisher={Gesellschaft für Informatik}, author={Schlichtig,
Michael and Opel, Simone and Schulte, Carsten and Biehler, Rolf and Frischemeier,
Daniel and Podworny, Susanne and Wassong, Thomas}, editor={Pasternak, Arno}, year={2019},
pages={385} }'
chicago: 'Schlichtig, Michael, Simone Opel, Carsten Schulte, Rolf Biehler, Daniel
Frischemeier, Susanne Podworny, and Thomas Wassong. “Maschinelles Lernen im Unterricht
mit Jupyter Notebook.” In Informatik für alle, edited by Arno Pasternak,
385. Bonn: Gesellschaft für Informatik, 2019.'
ieee: M. Schlichtig et al., “Maschinelles Lernen im Unterricht mit Jupyter
Notebook,” in Informatik für alle, Dortmund, Germany, 2019, p. 385.
mla: Schlichtig, Michael, et al. “Maschinelles Lernen im Unterricht mit Jupyter
Notebook.” Informatik für alle, edited by Arno Pasternak, Gesellschaft
für Informatik, 2019, p. 385.
short: 'M. Schlichtig, S. Opel, C. Schulte, R. Biehler, D. Frischemeier, S. Podworny,
T. Wassong, in: A. Pasternak (Ed.), Informatik für alle, Gesellschaft für Informatik,
Bonn, 2019, p. 385.'
conference:
end_date: 2019-09-18
location: Dortmund, Germany
name: INFOS 2019
start_date: 2019-09-16
date_created: 2019-11-07T14:08:13Z
date_updated: 2025-05-25T20:01:30Z
department:
- _id: '67'
- _id: '97'
editor:
- first_name: Arno
full_name: Pasternak, Arno
last_name: Pasternak
language:
- iso: ger
main_file_link:
- url: https://dl.gi.de/handle/20.500.12116/28964
page: ' 385 '
place: Bonn
publication: Informatik für alle
publication_identifier:
isbn:
- 978-3-88579-682-4
publication_status: published
publisher: Gesellschaft für Informatik
status: public
title: Maschinelles Lernen im Unterricht mit Jupyter Notebook
type: conference
user_id: '21241'
year: '2019'
...
---
_id: '64769'
author:
- first_name: Natalie
full_name: Nikitin, Natalie
last_name: Nikitin
citation:
ama: Nikitin N. Measurable regularity of infinite-dimensional Lie groups based on
Lusin measurability. Published online 2019.
apa: Nikitin, N. (2019). Measurable regularity of infinite-dimensional Lie groups
based on Lusin measurability.
bibtex: '@article{Nikitin_2019, title={Measurable regularity of infinite-dimensional
Lie groups based on Lusin measurability}, author={Nikitin, Natalie}, year={2019}
}'
chicago: Nikitin, Natalie. “Measurable Regularity of Infinite-Dimensional Lie Groups
Based on Lusin Measurability,” 2019.
ieee: N. Nikitin, “Measurable regularity of infinite-dimensional Lie groups based
on Lusin measurability.” 2019.
mla: Nikitin, Natalie. Measurable Regularity of Infinite-Dimensional Lie Groups
Based on Lusin Measurability. 2019.
short: N. Nikitin, (2019).
date_created: 2026-02-26T21:22:48Z
date_updated: 2026-02-26T21:22:58Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
external_id:
arxiv:
- arXiv:1904.10928
language:
- iso: eng
status: public
title: Measurable regularity of infinite-dimensional Lie groups based on Lusin measurability
type: preprint
user_id: '178'
year: '2019'
...
---
_id: '64756'
article_type: original
author:
- first_name: Boris
full_name: Walter, Boris
last_name: Walter
citation:
ama: Walter B. Weighted diffeomorphism groups of Riemannian manifolds. Indagationes
Mathematicae. 2019;30(4):669–705. doi:10.1016/j.indag.2019.03.003
apa: Walter, B. (2019). Weighted diffeomorphism groups of Riemannian manifolds.
Indagationes Mathematicae, 30(4), 669–705. https://doi.org/10.1016/j.indag.2019.03.003
bibtex: '@article{Walter_2019, title={Weighted diffeomorphism groups of Riemannian
manifolds}, volume={30}, DOI={10.1016/j.indag.2019.03.003},
number={4}, journal={Indagationes Mathematicae}, author={Walter, Boris}, year={2019},
pages={669–705} }'
chicago: 'Walter, Boris. “Weighted Diffeomorphism Groups of Riemannian Manifolds.”
Indagationes Mathematicae 30, no. 4 (2019): 669–705. https://doi.org/10.1016/j.indag.2019.03.003.'
ieee: 'B. Walter, “Weighted diffeomorphism groups of Riemannian manifolds,” Indagationes
Mathematicae, vol. 30, no. 4, pp. 669–705, 2019, doi: 10.1016/j.indag.2019.03.003.'
mla: Walter, Boris. “Weighted Diffeomorphism Groups of Riemannian Manifolds.” Indagationes
Mathematicae, vol. 30, no. 4, 2019, pp. 669–705, doi:10.1016/j.indag.2019.03.003.
short: B. Walter, Indagationes Mathematicae 30 (2019) 669–705.
date_created: 2026-02-26T20:43:34Z
date_updated: 2026-02-27T07:09:17Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1016/j.indag.2019.03.003
intvolume: ' 30'
issue: '4'
keyword:
- 58D05
- 57S05
- '22E65'
- 58D15
- 58B10
language:
- iso: eng
page: 669–705
publication: Indagationes Mathematicae
publication_identifier:
issn:
- 0019-3577
quality_controlled: '1'
status: public
title: Weighted diffeomorphism groups of Riemannian manifolds
type: journal_article
user_id: '178'
volume: 30
year: '2019'
...
---
_id: '64630'
article_type: original
author:
- first_name: Helge
full_name: Glöckner, Helge
id: '178'
last_name: Glöckner
citation:
ama: Glöckner H. Completeness of infinite-dimensional Lie groups in their left uniformity.
Canadian Journal of Mathematics. 2019;71(1):131–152. doi:10.4153/CJM-2017-048-5
apa: Glöckner, H. (2019). Completeness of infinite-dimensional Lie groups in their
left uniformity. Canadian Journal of Mathematics, 71(1), 131–152.
https://doi.org/10.4153/CJM-2017-048-5
bibtex: '@article{Glöckner_2019, title={Completeness of infinite-dimensional Lie
groups in their left uniformity}, volume={71}, DOI={10.4153/CJM-2017-048-5},
number={1}, journal={Canadian Journal of Mathematics}, author={Glöckner, Helge},
year={2019}, pages={131–152} }'
chicago: 'Glöckner, Helge. “Completeness of Infinite-Dimensional Lie Groups in Their
Left Uniformity.” Canadian Journal of Mathematics 71, no. 1 (2019): 131–152.
https://doi.org/10.4153/CJM-2017-048-5.'
ieee: 'H. Glöckner, “Completeness of infinite-dimensional Lie groups in their left
uniformity,” Canadian Journal of Mathematics, vol. 71, no. 1, pp. 131–152,
2019, doi: 10.4153/CJM-2017-048-5.'
mla: Glöckner, Helge. “Completeness of Infinite-Dimensional Lie Groups in Their
Left Uniformity.” Canadian Journal of Mathematics, vol. 71, no. 1, 2019,
pp. 131–152, doi:10.4153/CJM-2017-048-5.
short: H. Glöckner, Canadian Journal of Mathematics 71 (2019) 131–152.
date_created: 2026-02-26T07:03:36Z
date_updated: 2026-02-27T08:33:56Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.4153/CJM-2017-048-5
intvolume: ' 71'
issue: '1'
keyword:
- '22E65'
- 22A05
- '22E67'
- 46A13
- 46M40
- 58D05
language:
- iso: eng
page: 131–152
publication: Canadian Journal of Mathematics
publication_identifier:
issn:
- 0008-414X
quality_controlled: '1'
status: public
title: Completeness of infinite-dimensional Lie groups in their left uniformity
type: journal_article
user_id: '178'
volume: 71
year: '2019'
...
---
_id: '62712'
author:
- first_name: Simone
full_name: Opel, Simone
last_name: Opel
- first_name: Michael
full_name: Schlichtig, Michael
last_name: Schlichtig
- first_name: Carsten
full_name: Schulte, Carsten
id: '60311'
last_name: Schulte
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Daniel
full_name: Frischemeier, Daniel
last_name: Frischemeier
- first_name: Susanne
full_name: Podworny, Susanne
last_name: Podworny
- first_name: Thomas
full_name: Wassong, Thomas
id: '21241'
last_name: Wassong
citation:
ama: 'Opel S, Schlichtig M, Schulte C, et al. Entwicklung und Reflexion einer Unterrichtssequenz
zum Maschinellen Lernen als Aspekt von Data Science in der Sekundarstufe II. In:
Pasternak A, ed. Informatik für alle - 18. GI-Fachtagung Informatik und Schule,
16.-18. September 2019, Dortmund. Gesellschaft für Informatik; 2019:285–294.
doi:10.18420/infos2019-c14'
apa: Opel, S., Schlichtig, M., Schulte, C., Biehler, R., Frischemeier, D., Podworny,
S., & Wassong, T. (2019). Entwicklung und Reflexion einer Unterrichtssequenz
zum Maschinellen Lernen als Aspekt von Data Science in der Sekundarstufe II. In
A. Pasternak (Ed.), Informatik für alle - 18. GI-Fachtagung Informatik und
Schule, 16.-18. September 2019, Dortmund (pp. 285–294). Gesellschaft für Informatik.
https://doi.org/10.18420/infos2019-c14
bibtex: '@inbook{Opel_Schlichtig_Schulte_Biehler_Frischemeier_Podworny_Wassong_2019,
title={Entwicklung und Reflexion einer Unterrichtssequenz zum Maschinellen Lernen
als Aspekt von Data Science in der Sekundarstufe II}, DOI={10.18420/infos2019-c14},
booktitle={Informatik für alle - 18. GI-Fachtagung Informatik und Schule, 16.-18.
September 2019, Dortmund}, publisher={Gesellschaft für Informatik}, author={Opel,
Simone and Schlichtig, Michael and Schulte, Carsten and Biehler, Rolf and Frischemeier,
Daniel and Podworny, Susanne and Wassong, Thomas}, editor={Pasternak, A.}, year={2019},
pages={285–294} }'
chicago: Opel, Simone, Michael Schlichtig, Carsten Schulte, Rolf Biehler, Daniel
Frischemeier, Susanne Podworny, and Thomas Wassong. “Entwicklung und Reflexion
einer Unterrichtssequenz zum Maschinellen Lernen als Aspekt von Data Science in
der Sekundarstufe II.” In Informatik für alle - 18. GI-Fachtagung Informatik
und Schule, 16.-18. September 2019, Dortmund, edited by A. Pasternak, 285–294.
Gesellschaft für Informatik, 2019. https://doi.org/10.18420/infos2019-c14.
ieee: S. Opel et al., “Entwicklung und Reflexion einer Unterrichtssequenz
zum Maschinellen Lernen als Aspekt von Data Science in der Sekundarstufe II,”
in Informatik für alle - 18. GI-Fachtagung Informatik und Schule, 16.-18. September
2019, Dortmund, A. Pasternak, Ed. Gesellschaft für Informatik, 2019, pp. 285–294.
mla: Opel, Simone, et al. “Entwicklung und Reflexion einer Unterrichtssequenz zum
Maschinellen Lernen als Aspekt von Data Science in der Sekundarstufe II.” Informatik
für alle - 18. GI-Fachtagung Informatik und Schule, 16.-18. September 2019, Dortmund,
edited by A. Pasternak, Gesellschaft für Informatik, 2019, pp. 285–294, doi:10.18420/infos2019-c14.
short: 'S. Opel, M. Schlichtig, C. Schulte, R. Biehler, D. Frischemeier, S. Podworny,
T. Wassong, in: A. Pasternak (Ed.), Informatik für alle - 18. GI-Fachtagung Informatik
und Schule, 16.-18. September 2019, Dortmund, Gesellschaft für Informatik, 2019,
pp. 285–294.'
date_created: 2025-12-01T08:03:19Z
date_updated: 2025-12-01T08:30:39Z
department:
- _id: '363'
doi: 10.18420/infos2019-c14
editor:
- first_name: A.
full_name: Pasternak, A.
last_name: Pasternak
language:
- iso: ger
page: 285–294
publication: Informatik für alle - 18. GI-Fachtagung Informatik und Schule, 16.-18.
September 2019, Dortmund
publication_identifier:
isbn:
- 978-3-88579-682-4
publisher: Gesellschaft für Informatik
status: public
title: Entwicklung und Reflexion einer Unterrichtssequenz zum Maschinellen Lernen
als Aspekt von Data Science in der Sekundarstufe II
type: book_chapter
user_id: '37888'
year: '2019'
...
---
_id: '8482'
author:
- first_name: Benjamin
full_name: Jurgelucks, Benjamin
last_name: Jurgelucks
- first_name: Veronika
full_name: Schulze, Veronika
last_name: Schulze
- first_name: Nadine
full_name: Feldmann, Nadine
id: '23082'
last_name: Feldmann
- first_name: Leander
full_name: Claes, Leander
id: '11829'
last_name: Claes
orcid: 0000-0002-4393-268X
citation:
ama: Jurgelucks B, Schulze V, Feldmann N, Claes L. Arbitrary Sensitivity for
Inverse Problems in Piezoelectricity.; 2019.
apa: Jurgelucks, B., Schulze, V., Feldmann, N., & Claes, L. (2019). Arbitrary
sensitivity for inverse problems in piezoelectricity.
bibtex: '@book{Jurgelucks_Schulze_Feldmann_Claes_2019, place={GAMM Annual Meeting,
Wien}, title={Arbitrary sensitivity for inverse problems in piezoelectricity},
author={Jurgelucks, Benjamin and Schulze, Veronika and Feldmann, Nadine and Claes,
Leander}, year={2019} }'
chicago: Jurgelucks, Benjamin, Veronika Schulze, Nadine Feldmann, and Leander Claes.
Arbitrary Sensitivity for Inverse Problems in Piezoelectricity. GAMM Annual
Meeting, Wien, 2019.
ieee: B. Jurgelucks, V. Schulze, N. Feldmann, and L. Claes, Arbitrary sensitivity
for inverse problems in piezoelectricity. GAMM Annual Meeting, Wien, 2019.
mla: Jurgelucks, Benjamin, et al. Arbitrary Sensitivity for Inverse Problems
in Piezoelectricity. 2019.
short: B. Jurgelucks, V. Schulze, N. Feldmann, L. Claes, Arbitrary Sensitivity for
Inverse Problems in Piezoelectricity, GAMM Annual Meeting, Wien, 2019.
date_created: 2019-03-08T13:20:14Z
date_updated: 2026-01-05T07:53:43Z
department:
- _id: '104'
- _id: '49'
language:
- iso: eng
place: GAMM Annual Meeting, Wien
project:
- _id: '90'
name: Ein modellbasiertes Messverfahren zur Charakterisierung der frequenzabhängigen
Materialeigenschaften von Piezokeramiken unter Verwendung eines einzelnen Probekörperindividuums
- _id: '245'
name: 'FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken
für Leistungsschallanwendungen (NEPTUN)'
status: public
title: Arbitrary sensitivity for inverse problems in piezoelectricity
type: misc
user_id: '11829'
year: '2019'
...
---
_id: '19935'
abstract:
- lang: eng
text: 'A bifurcation is a qualitative change in a family of solutions to an equation
produced by varying parameters. In contrast to the local bifurcations of dynamical
systems that are often related to a change in the number or stability of equilibria,
bifurcations of boundary value problems are global in nature and may not be related
to any obvious change in dynamical behaviour. Catastrophe theory is a well-developed
framework which studies the bifurcations of critical points of functions. In this
paper we study the bifurcations of solutions of boundary-value problems for symplectic
maps, using the language of (finite-dimensional) singularity theory. We associate
certain such problems with a geometric picture involving the intersection of Lagrangian
submanifolds, and hence with the critical points of a suitable generating function.
Within this framework, we then study the effect of three special cases: (i) some
common boundary conditions, such as Dirichlet boundary conditions for second-order
systems, restrict the possible types of bifurcations (for example, in generic
planar systems only the A-series beginning with folds and cusps can occur); (ii)
integrable systems, such as planar Hamiltonian systems, can exhibit a novel periodic
pitchfork bifurcation; and (iii) systems with Hamiltonian symmetries or reversing
symmetries can exhibit restricted bifurcations associated with the symmetry. This
approach offers an alternative to the analysis of critical points in function
spaces, typically used in the study of bifurcation of variational problems, and
opens the way to the detection of more exotic bifurcations than the simple folds
and cusps that are often found in examples. '
article_type: original
author:
- first_name: Robert I
full_name: McLachlan, Robert I
last_name: McLachlan
- first_name: Christian
full_name: Offen, Christian
id: '85279'
last_name: Offen
orcid: https://orcid.org/0000-0002-5940-8057
citation:
ama: McLachlan RI, Offen C. Bifurcation of solutions to Hamiltonian boundary value
problems. Nonlinearity. 2018:2895-2927. doi:10.1088/1361-6544/aab630
apa: McLachlan, R. I., & Offen, C. (2018). Bifurcation of solutions to Hamiltonian
boundary value problems. Nonlinearity, 2895–2927. https://doi.org/10.1088/1361-6544/aab630
bibtex: '@article{McLachlan_Offen_2018, title={Bifurcation of solutions to Hamiltonian
boundary value problems}, DOI={10.1088/1361-6544/aab630},
journal={Nonlinearity}, author={McLachlan, Robert I and Offen, Christian}, year={2018},
pages={2895–2927} }'
chicago: McLachlan, Robert I, and Christian Offen. “Bifurcation of Solutions to
Hamiltonian Boundary Value Problems.” Nonlinearity, 2018, 2895–2927. https://doi.org/10.1088/1361-6544/aab630.
ieee: R. I. McLachlan and C. Offen, “Bifurcation of solutions to Hamiltonian boundary
value problems,” Nonlinearity, pp. 2895–2927, 2018.
mla: McLachlan, Robert I., and Christian Offen. “Bifurcation of Solutions to Hamiltonian
Boundary Value Problems.” Nonlinearity, 2018, pp. 2895–927, doi:10.1088/1361-6544/aab630.
short: R.I. McLachlan, C. Offen, Nonlinearity (2018) 2895–2927.
date_created: 2020-10-06T16:28:36Z
date_updated: 2022-01-06T06:54:14Z
department:
- _id: '636'
doi: 10.1088/1361-6544/aab630
extern: '1'
language:
- iso: eng
main_file_link:
- url: https://doi.org/10.1088/1361-6544/aab630
page: 2895-2927
publication: Nonlinearity
publication_identifier:
issn:
- 0951-7715
- 1361-6544
publication_status: published
status: public
title: Bifurcation of solutions to Hamiltonian boundary value problems
type: journal_article
user_id: '85279'
year: '2018'
...