---
_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: '14847'
abstract:
- lang: ger
text: Die Bereiche „Data Science“ und „Big Data“ sowie ihre technischen, ethischen
und gesellschaftlichen Auswirkungen werden zunehmend nicht nur in der Wissenschaft,
sondern auch in diversen Medien diskutiert und somit verstärkt auch zu einem wichtigen
Thema für alle. Um den Schülerinnen und Schülern der Sekundarstufe II einen theoretisch
und fachwissenschaftlich fundierten Einstieg in diesen Themenbereich zu ermöglichen,
wurde ein erster Entwurf eines interdisziplinären Curriculums entwickelt, das
neben fachlichen Aspekten von Data Science einen Fokus auf sich hieraus ergebende
gesellschaftliche Fragestellungen legt. Es werden neben der Konzeption des Kurses
die bisherigen Erfahrungen aus der Durchführung – insbesondere in Hinsicht der
darin enthaltenen Unterrichtseinheit zum Maschinellen Lernen - berichtet, sowie
die sich hieraus ergebenden Implikationen für die Weiterentwicklung dargestellt
und diskutiert.
author:
- first_name: Simone
full_name: Opel, Simone
last_name: Opel
- first_name: Michael
full_name: Schlichtig, Michael
id: '32312'
last_name: Schlichtig
orcid: 0000-0001-6600-6171
- 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: '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. Gesellschaft für Informatik; 2019:285-294.'
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 (pp. 285–294). Gesellschaft für
Informatik.
bibtex: '@inproceedings{Opel_Schlichtig_Schulte_Biehler_Frischemeier_Podworny_Wassong_2019,
place={Bonn}, title={Entwicklung und Reflexion einer Unterrichtssequenz zum Maschinellen
Lernen als Aspekt von Data Science in der Sekundarstufe II}, booktitle={Informatik
für alle}, 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, Arno}, 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, edited by Arno Pasternak,
285–94. Bonn: Gesellschaft für Informatik, 2019.'
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, Dortmund, Germany, 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, edited by Arno Pasternak, Gesellschaft für Informatik, 2019, pp.
285–94.
short: 'S. Opel, M. Schlichtig, C. Schulte, R. Biehler, D. Frischemeier, S. Podworny,
T. Wassong, in: A. Pasternak (Ed.), Informatik für alle, Gesellschaft für Informatik,
Bonn, 2019, pp. 285–294.'
conference:
end_date: 2019-09-18
location: Dortmund, Germany
name: INFOS 2019
start_date: 2019-09-16
date_created: 2019-11-07T14:07:30Z
date_updated: 2025-05-25T20:01:40Z
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/20.500.12116/28935
page: ' 285-294 '
place: Bonn
publication: Informatik für alle
publication_identifier:
isbn:
- 978-3-88579-682-4
publication_status: published
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: 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'
...
---
_id: '19937'
abstract:
- lang: eng
text: Symplectic integrators can be excellent for Hamiltonian initial value problems.
Reasons for this include their preservation of invariant sets like tori, good
energy behaviour, nonexistence of attractors, and good behaviour of statistical
properties. These all refer to {\em long-time} behaviour. They are directly connected
to the dynamical behaviour of symplectic maps φ:M→M' on the phase space under
iteration. Boundary value problems, in contrast, are posed for fixed (and often
quite short) times. Symplecticity manifests as a symplectic map φ:M→M' which is
not iterated. Is there any point, therefore, for a symplectic integrator to be
used on a Hamiltonian boundary value problem? In this paper we announce results
that symplectic integrators preserve bifurcations of Hamiltonian boundary value
problems and that nonsymplectic integrators do not.
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. Symplectic integration of boundary value problems. Numerical
Algorithms. 2018:1219-1233. doi:10.1007/s11075-018-0599-7
apa: McLachlan, R. I., & Offen, C. (2018). Symplectic integration of boundary
value problems. Numerical Algorithms, 1219–1233. https://doi.org/10.1007/s11075-018-0599-7
bibtex: '@article{McLachlan_Offen_2018, title={Symplectic integration of boundary
value problems}, DOI={10.1007/s11075-018-0599-7},
journal={Numerical Algorithms}, author={McLachlan, Robert I and Offen, Christian},
year={2018}, pages={1219–1233} }'
chicago: McLachlan, Robert I, and Christian Offen. “Symplectic Integration of Boundary
Value Problems.” Numerical Algorithms, 2018, 1219–33. https://doi.org/10.1007/s11075-018-0599-7.
ieee: R. I. McLachlan and C. Offen, “Symplectic integration of boundary value problems,”
Numerical Algorithms, pp. 1219–1233, 2018.
mla: McLachlan, Robert I., and Christian Offen. “Symplectic Integration of Boundary
Value Problems.” Numerical Algorithms, 2018, pp. 1219–33, doi:10.1007/s11075-018-0599-7.
short: R.I. McLachlan, C. Offen, Numerical Algorithms (2018) 1219–1233.
date_created: 2020-10-06T16:29:14Z
date_updated: 2022-01-06T06:54:14Z
department:
- _id: '636'
doi: 10.1007/s11075-018-0599-7
extern: '1'
language:
- iso: eng
main_file_link:
- url: https://rdcu.be/b79ap
page: 1219-1233
publication: Numerical Algorithms
publication_identifier:
issn:
- 1017-1398
- 1572-9265
publication_status: published
status: public
title: Symplectic integration of boundary value problems
type: journal_article
user_id: '85279'
year: '2018'
...
---
_id: '21634'
abstract:
- lang: eng
text: "Predictive control of power electronic systems always requires a suitable\r\nmodel
of the plant. Using typical physics-based white box models, a trade-off\r\nbetween
model complexity (i.e. accuracy) and computational burden has to be\r\nmade. This
is a challenging task with a lot of constraints, since the model\r\norder is directly
linked to the number of system states. Even though white-box\r\nmodels show suitable
performance in most cases, parasitic real-world effects\r\noften cannot be modeled
satisfactorily with an expedient computational load.\r\nHence, a Koopman operator-based
model reduction technique is presented which\r\ndirectly links the control action
to the system's outputs in a black-box\r\nfashion. The Koopman operator is a linear
but infinite-dimensional operator\r\ndescribing the dynamics of observables of
nonlinear autonomous dynamical\r\nsystems which can be nicely applied to the switching
principle of power\r\nelectronic devices. Following this data-driven approach,
the model order and\r\nthe number of system states are decoupled which allows
us to consider more\r\ncomplex systems. Extensive experimental tests with an automotive-type
permanent\r\nmagnet synchronous motor fed by an IGBT 2-level inverter prove the
feasibility\r\nof the proposed modeling technique in a finite-set model predictive
control\r\napplication."
author:
- first_name: Sören
full_name: Hanke, Sören
last_name: Hanke
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: 0000-0002-3389-793X
- first_name: Oliver
full_name: Wallscheid, Oliver
last_name: Wallscheid
- first_name: Stefan
full_name: Klus, Stefan
last_name: Klus
- first_name: Joachim
full_name: Böcker, Joachim
last_name: Böcker
- first_name: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
citation:
ama: Hanke S, Peitz S, Wallscheid O, Klus S, Böcker J, Dellnitz M. Koopman Operator-Based
Finite-Control-Set Model Predictive Control for Electrical Drives. arXiv:180400854.
2018.
apa: Hanke, S., Peitz, S., Wallscheid, O., Klus, S., Böcker, J., & Dellnitz,
M. (2018). Koopman Operator-Based Finite-Control-Set Model Predictive Control
for Electrical Drives. ArXiv:1804.00854.
bibtex: '@article{Hanke_Peitz_Wallscheid_Klus_Böcker_Dellnitz_2018, title={Koopman
Operator-Based Finite-Control-Set Model Predictive Control for Electrical Drives},
journal={arXiv:1804.00854}, author={Hanke, Sören and Peitz, Sebastian and Wallscheid,
Oliver and Klus, Stefan and Böcker, Joachim and Dellnitz, Michael}, year={2018}
}'
chicago: Hanke, Sören, Sebastian Peitz, Oliver Wallscheid, Stefan Klus, Joachim
Böcker, and Michael Dellnitz. “Koopman Operator-Based Finite-Control-Set Model
Predictive Control for Electrical Drives.” ArXiv:1804.00854, 2018.
ieee: S. Hanke, S. Peitz, O. Wallscheid, S. Klus, J. Böcker, and M. Dellnitz, “Koopman
Operator-Based Finite-Control-Set Model Predictive Control for Electrical Drives,”
arXiv:1804.00854. 2018.
mla: Hanke, Sören, et al. “Koopman Operator-Based Finite-Control-Set Model Predictive
Control for Electrical Drives.” ArXiv:1804.00854, 2018.
short: S. Hanke, S. Peitz, O. Wallscheid, S. Klus, J. Böcker, M. Dellnitz, ArXiv:1804.00854
(2018).
date_created: 2021-04-19T16:17:30Z
date_updated: 2022-01-06T06:55:08Z
department:
- _id: '101'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/pdf/1804.00854.pdf
oa: '1'
publication: arXiv:1804.00854
status: public
title: Koopman Operator-Based Finite-Control-Set Model Predictive Control for Electrical
Drives
type: preprint
user_id: '47427'
year: '2018'
...
---
_id: '21940'
author:
- first_name: Florian
full_name: Litzinger, Florian
last_name: Litzinger
- first_name: Lorenzo
full_name: Boninsegna, Lorenzo
last_name: Boninsegna
- first_name: Hao
full_name: Wu, Hao
last_name: Wu
- first_name: Feliks
full_name: Nüske, Feliks
id: '81513'
last_name: Nüske
orcid: 0000-0003-2444-7889
- first_name: Raajen
full_name: Patel, Raajen
last_name: Patel
- first_name: Richard
full_name: Baraniuk, Richard
last_name: Baraniuk
- first_name: Frank
full_name: Noé, Frank
last_name: Noé
- first_name: Cecilia
full_name: Clementi, Cecilia
last_name: Clementi
citation:
ama: Litzinger F, Boninsegna L, Wu H, et al. Rapid Calculation of Molecular Kinetics
Using Compressed Sensing. Journal of Chemical Theory and Computation. 2018:2771-2783.
doi:10.1021/acs.jctc.8b00089
apa: Litzinger, F., Boninsegna, L., Wu, H., Nüske, F., Patel, R., Baraniuk, R.,
… Clementi, C. (2018). Rapid Calculation of Molecular Kinetics Using Compressed
Sensing. Journal of Chemical Theory and Computation, 2771–2783. https://doi.org/10.1021/acs.jctc.8b00089
bibtex: '@article{Litzinger_Boninsegna_Wu_Nüske_Patel_Baraniuk_Noé_Clementi_2018,
title={Rapid Calculation of Molecular Kinetics Using Compressed Sensing}, DOI={10.1021/acs.jctc.8b00089},
journal={Journal of Chemical Theory and Computation}, author={Litzinger, Florian
and Boninsegna, Lorenzo and Wu, Hao and Nüske, Feliks and Patel, Raajen and Baraniuk,
Richard and Noé, Frank and Clementi, Cecilia}, year={2018}, pages={2771–2783}
}'
chicago: Litzinger, Florian, Lorenzo Boninsegna, Hao Wu, Feliks Nüske, Raajen Patel,
Richard Baraniuk, Frank Noé, and Cecilia Clementi. “Rapid Calculation of Molecular
Kinetics Using Compressed Sensing.” Journal of Chemical Theory and Computation,
2018, 2771–83. https://doi.org/10.1021/acs.jctc.8b00089.
ieee: F. Litzinger et al., “Rapid Calculation of Molecular Kinetics Using
Compressed Sensing,” Journal of Chemical Theory and Computation, pp. 2771–2783,
2018.
mla: Litzinger, Florian, et al. “Rapid Calculation of Molecular Kinetics Using Compressed
Sensing.” Journal of Chemical Theory and Computation, 2018, pp. 2771–83,
doi:10.1021/acs.jctc.8b00089.
short: F. Litzinger, L. Boninsegna, H. Wu, F. Nüske, R. Patel, R. Baraniuk, F. Noé,
C. Clementi, Journal of Chemical Theory and Computation (2018) 2771–2783.
date_created: 2021-04-30T16:58:07Z
date_updated: 2022-01-06T06:55:20Z
department:
- _id: '101'
doi: 10.1021/acs.jctc.8b00089
extern: '1'
language:
- iso: eng
page: 2771-2783
publication: Journal of Chemical Theory and Computation
publication_identifier:
issn:
- 1549-9618
- 1549-9626
publication_status: published
status: public
title: Rapid Calculation of Molecular Kinetics Using Compressed Sensing
type: journal_article
user_id: '81513'
year: '2018'
...
---
_id: '21941'
author:
- first_name: Stefan
full_name: Klus, Stefan
last_name: Klus
- first_name: Feliks
full_name: Nüske, Feliks
id: '81513'
last_name: Nüske
orcid: 0000-0003-2444-7889
- first_name: Péter
full_name: Koltai, Péter
last_name: Koltai
- first_name: Hao
full_name: Wu, Hao
last_name: Wu
- first_name: Ioannis
full_name: Kevrekidis, Ioannis
last_name: Kevrekidis
- first_name: Christof
full_name: Schütte, Christof
last_name: Schütte
- first_name: Frank
full_name: Noé, Frank
last_name: Noé
citation:
ama: Klus S, Nüske F, Koltai P, et al. Data-Driven Model Reduction and Transfer
Operator Approximation. Journal of Nonlinear Science. 2018:985-1010. doi:10.1007/s00332-017-9437-7
apa: Klus, S., Nüske, F., Koltai, P., Wu, H., Kevrekidis, I., Schütte, C., &
Noé, F. (2018). Data-Driven Model Reduction and Transfer Operator Approximation.
Journal of Nonlinear Science, 985–1010. https://doi.org/10.1007/s00332-017-9437-7
bibtex: '@article{Klus_Nüske_Koltai_Wu_Kevrekidis_Schütte_Noé_2018, title={Data-Driven
Model Reduction and Transfer Operator Approximation}, DOI={10.1007/s00332-017-9437-7},
journal={Journal of Nonlinear Science}, author={Klus, Stefan and Nüske, Feliks
and Koltai, Péter and Wu, Hao and Kevrekidis, Ioannis and Schütte, Christof and
Noé, Frank}, year={2018}, pages={985–1010} }'
chicago: Klus, Stefan, Feliks Nüske, Péter Koltai, Hao Wu, Ioannis Kevrekidis, Christof
Schütte, and Frank Noé. “Data-Driven Model Reduction and Transfer Operator Approximation.”
Journal of Nonlinear Science, 2018, 985–1010. https://doi.org/10.1007/s00332-017-9437-7.
ieee: S. Klus et al., “Data-Driven Model Reduction and Transfer Operator
Approximation,” Journal of Nonlinear Science, pp. 985–1010, 2018.
mla: Klus, Stefan, et al. “Data-Driven Model Reduction and Transfer Operator Approximation.”
Journal of Nonlinear Science, 2018, pp. 985–1010, doi:10.1007/s00332-017-9437-7.
short: S. Klus, F. Nüske, P. Koltai, H. Wu, I. Kevrekidis, C. Schütte, F. Noé, Journal
of Nonlinear Science (2018) 985–1010.
date_created: 2021-04-30T16:59:03Z
date_updated: 2022-01-06T06:55:20Z
department:
- _id: '101'
doi: 10.1007/s00332-017-9437-7
extern: '1'
language:
- iso: eng
page: 985-1010
publication: Journal of Nonlinear Science
publication_identifier:
issn:
- 0938-8974
- 1432-1467
publication_status: published
status: public
title: Data-Driven Model Reduction and Transfer Operator Approximation
type: journal_article
user_id: '81513'
year: '2018'
...
---
_id: '21942'
article_number: '241723'
author:
- first_name: Lorenzo
full_name: Boninsegna, Lorenzo
last_name: Boninsegna
- first_name: Feliks
full_name: Nüske, Feliks
id: '81513'
last_name: Nüske
orcid: 0000-0003-2444-7889
- first_name: Cecilia
full_name: Clementi, Cecilia
last_name: Clementi
citation:
ama: Boninsegna L, Nüske F, Clementi C. Sparse learning of stochastic dynamical
equations. The Journal of Chemical Physics. 2018. doi:10.1063/1.5018409
apa: Boninsegna, L., Nüske, F., & Clementi, C. (2018). Sparse learning of stochastic
dynamical equations. The Journal of Chemical Physics. https://doi.org/10.1063/1.5018409
bibtex: '@article{Boninsegna_Nüske_Clementi_2018, title={Sparse learning of stochastic
dynamical equations}, DOI={10.1063/1.5018409},
number={241723}, journal={The Journal of Chemical Physics}, author={Boninsegna,
Lorenzo and Nüske, Feliks and Clementi, Cecilia}, year={2018} }'
chicago: Boninsegna, Lorenzo, Feliks Nüske, and Cecilia Clementi. “Sparse Learning
of Stochastic Dynamical Equations.” The Journal of Chemical Physics, 2018.
https://doi.org/10.1063/1.5018409.
ieee: L. Boninsegna, F. Nüske, and C. Clementi, “Sparse learning of stochastic dynamical
equations,” The Journal of Chemical Physics, 2018.
mla: Boninsegna, Lorenzo, et al. “Sparse Learning of Stochastic Dynamical Equations.”
The Journal of Chemical Physics, 241723, 2018, doi:10.1063/1.5018409.
short: L. Boninsegna, F. Nüske, C. Clementi, The Journal of Chemical Physics (2018).
date_created: 2021-04-30T16:59:39Z
date_updated: 2022-01-06T06:55:20Z
department:
- _id: '101'
doi: 10.1063/1.5018409
extern: '1'
language:
- iso: eng
publication: The Journal of Chemical Physics
publication_identifier:
issn:
- 0021-9606
- 1089-7690
publication_status: published
status: public
title: Sparse learning of stochastic dynamical equations
type: journal_article
user_id: '81513'
year: '2018'
...
---
_id: '21943'
article_number: '244119'
author:
- first_name: Eugen
full_name: Hruska, Eugen
last_name: Hruska
- first_name: Jayvee R.
full_name: Abella, Jayvee R.
last_name: Abella
- first_name: Feliks
full_name: Nüske, Feliks
id: '81513'
last_name: Nüske
orcid: 0000-0003-2444-7889
- first_name: Lydia E.
full_name: Kavraki, Lydia E.
last_name: Kavraki
- first_name: Cecilia
full_name: Clementi, Cecilia
last_name: Clementi
citation:
ama: Hruska E, Abella JR, Nüske F, Kavraki LE, Clementi C. Quantitative comparison
of adaptive sampling methods for protein dynamics. The Journal of Chemical
Physics. 2018. doi:10.1063/1.5053582
apa: Hruska, E., Abella, J. R., Nüske, F., Kavraki, L. E., & Clementi, C. (2018).
Quantitative comparison of adaptive sampling methods for protein dynamics. The
Journal of Chemical Physics. https://doi.org/10.1063/1.5053582
bibtex: '@article{Hruska_Abella_Nüske_Kavraki_Clementi_2018, title={Quantitative
comparison of adaptive sampling methods for protein dynamics}, DOI={10.1063/1.5053582},
number={244119}, journal={The Journal of Chemical Physics}, author={Hruska, Eugen
and Abella, Jayvee R. and Nüske, Feliks and Kavraki, Lydia E. and Clementi, Cecilia},
year={2018} }'
chicago: Hruska, Eugen, Jayvee R. Abella, Feliks Nüske, Lydia E. Kavraki, and Cecilia
Clementi. “Quantitative Comparison of Adaptive Sampling Methods for Protein Dynamics.”
The Journal of Chemical Physics, 2018. https://doi.org/10.1063/1.5053582.
ieee: E. Hruska, J. R. Abella, F. Nüske, L. E. Kavraki, and C. Clementi, “Quantitative
comparison of adaptive sampling methods for protein dynamics,” The Journal
of Chemical Physics, 2018.
mla: Hruska, Eugen, et al. “Quantitative Comparison of Adaptive Sampling Methods
for Protein Dynamics.” The Journal of Chemical Physics, 244119, 2018, doi:10.1063/1.5053582.
short: E. Hruska, J.R. Abella, F. Nüske, L.E. Kavraki, C. Clementi, The Journal
of Chemical Physics (2018).
date_created: 2021-04-30T17:00:24Z
date_updated: 2022-01-06T06:55:20Z
department:
- _id: '101'
doi: 10.1063/1.5053582
extern: '1'
language:
- iso: eng
publication: The Journal of Chemical Physics
publication_identifier:
issn:
- 0021-9606
- 1089-7690
publication_status: published
status: public
title: Quantitative comparison of adaptive sampling methods for protein dynamics
type: journal_article
user_id: '81513'
year: '2018'
...
---
_id: '7766'
author:
- first_name: Jan
full_name: Schumacher, Jan
id: '26809'
last_name: Schumacher
orcid: 0000-0002-6676-9774
citation:
ama: 'Schumacher J. Semiotische Analyse von Sinnkonstruktionsprozessen bei einem
innermathematischen Zugang zum Erlernen negativer Zahlen. In: Fachgruppe Didaktik
der Mathematik der Universität Paderborn, ed. Beiträge zum Mathematikunterricht
2018. Münster: WTM-Verlag; 2018.'
apa: 'Schumacher, J. (2018). Semiotische Analyse von Sinnkonstruktionsprozessen
bei einem innermathematischen Zugang zum Erlernen negativer Zahlen. In Fachgruppe
Didaktik der Mathematik der Universität Paderborn (Ed.), Beiträge zum Mathematikunterricht
2018. Münster: WTM-Verlag.'
bibtex: '@inproceedings{Schumacher_2018, place={Münster}, title={Semiotische Analyse
von Sinnkonstruktionsprozessen bei einem innermathematischen Zugang zum Erlernen
negativer Zahlen}, booktitle={Beiträge zum Mathematikunterricht 2018}, publisher={WTM-Verlag},
author={Schumacher, Jan}, editor={Fachgruppe Didaktik der Mathematik der Universität
PaderbornEditor}, year={2018} }'
chicago: 'Schumacher, Jan. “Semiotische Analyse von Sinnkonstruktionsprozessen bei
einem innermathematischen Zugang zum Erlernen negativer Zahlen.” In Beiträge
zum Mathematikunterricht 2018, edited by Fachgruppe Didaktik der Mathematik
der Universität Paderborn. Münster: WTM-Verlag, 2018.'
ieee: J. Schumacher, “Semiotische Analyse von Sinnkonstruktionsprozessen bei einem
innermathematischen Zugang zum Erlernen negativer Zahlen,” in Beiträge zum
Mathematikunterricht 2018, 2018.
mla: Schumacher, Jan. “Semiotische Analyse von Sinnkonstruktionsprozessen bei einem
innermathematischen Zugang zum Erlernen negativer Zahlen.” Beiträge zum Mathematikunterricht
2018, edited by Fachgruppe Didaktik der Mathematik der Universität Paderborn,
WTM-Verlag, 2018.
short: 'J. Schumacher, in: Fachgruppe Didaktik der Mathematik der Universität Paderborn
(Ed.), Beiträge zum Mathematikunterricht 2018, WTM-Verlag, Münster, 2018.'
corporate_editor:
- Fachgruppe Didaktik der Mathematik der Universität Paderborn
date_created: 2019-02-19T12:43:35Z
date_updated: 2022-01-06T07:03:45Z
department:
- _id: '360'
language:
- iso: ger
main_file_link:
- open_access: '1'
url: https://eldorado.tu-dortmund.de/handle/2003/37695
oa: '1'
place: Münster
publication: Beiträge zum Mathematikunterricht 2018
publication_status: published
publisher: WTM-Verlag
status: public
title: Semiotische Analyse von Sinnkonstruktionsprozessen bei einem innermathematischen
Zugang zum Erlernen negativer Zahlen
type: conference
user_id: '26809'
year: '2018'
...