---
_id: '31551'
author:
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
- first_name: Marcus
full_name: Nührenbörger, Marcus
last_name: Nührenbörger
citation:
ama: 'Häsel-Weide U, Nührenbörger M. Tragfähige Grundlagen. In: Hecker U, Lassek
M, Ramseger J, eds. Kinder lernen Zukunft – Anforderungen und tragfähige Grundlagen.
Vol Band 150. 1st ed. Kinder lernen Zukunft. Grundschulverband; 2020:108-118.'
apa: 'Häsel-Weide, U., & Nührenbörger, M. (2020). Tragfähige Grundlagen. In
U. Hecker, M. Lassek, & J. Ramseger (Eds.), Kinder lernen Zukunft – Anforderungen
und tragfähige Grundlagen: Vol. Band 150 (1st ed., pp. 108–118). Grundschulverband.'
bibtex: '@inbook{Häsel-Weide_Nührenbörger_2020, place={Frankfurt a. M.}, edition={1},
series={Kinder lernen Zukunft}, title={Tragfähige Grundlagen}, volume={Band 150},
booktitle={Kinder lernen Zukunft – Anforderungen und tragfähige Grundlagen}, publisher={Grundschulverband},
author={Häsel-Weide, Uta and Nührenbörger, Marcus}, editor={Hecker, Ulrich and
Lassek, Maresi and Ramseger, Jörg}, year={2020}, pages={108–118}, collection={Kinder
lernen Zukunft} }'
chicago: 'Häsel-Weide, Uta, and Marcus Nührenbörger. “Tragfähige Grundlagen.” In
Kinder lernen Zukunft – Anforderungen und tragfähige Grundlagen, edited
by Ulrich Hecker, Maresi Lassek, and Jörg Ramseger, 1st ed., Band 150:108–18.
Kinder lernen Zukunft. Frankfurt a. M.: Grundschulverband, 2020.'
ieee: 'U. Häsel-Weide and M. Nührenbörger, “Tragfähige Grundlagen,” in Kinder
lernen Zukunft – Anforderungen und tragfähige Grundlagen, 1st ed., vol. Band
150, U. Hecker, M. Lassek, and J. Ramseger, Eds. Frankfurt a. M.: Grundschulverband,
2020, pp. 108–118.'
mla: Häsel-Weide, Uta, and Marcus Nührenbörger. “Tragfähige Grundlagen.” Kinder
lernen Zukunft – Anforderungen und tragfähige Grundlagen, edited by Ulrich
Hecker et al., 1st ed., vol. Band 150, Grundschulverband, 2020, pp. 108–18.
short: 'U. Häsel-Weide, M. Nührenbörger, in: U. Hecker, M. Lassek, J. Ramseger (Eds.),
Kinder lernen Zukunft – Anforderungen und tragfähige Grundlagen, 1st ed., Grundschulverband,
Frankfurt a. M., 2020, pp. 108–118.'
date_created: 2022-05-31T07:57:21Z
date_updated: 2022-05-31T09:07:26Z
department:
- _id: '98'
- _id: '543'
edition: '1'
editor:
- first_name: Ulrich
full_name: Hecker, Ulrich
last_name: Hecker
- first_name: Maresi
full_name: Lassek, Maresi
last_name: Lassek
- first_name: Jörg
full_name: Ramseger, Jörg
last_name: Ramseger
language:
- iso: ger
page: 108-118
place: Frankfurt a. M.
publication: Kinder lernen Zukunft – Anforderungen und tragfähige Grundlagen
publication_identifier:
unknown:
- 978-3-941649-28-6
publication_status: published
publisher: Grundschulverband
related_material:
link:
- relation: table_of_contents
url: https://grundschulverband.de/wp-content/uploads/2020/07/200706neu_GSV_B150-Appetizer.pdf
series_title: Kinder lernen Zukunft
status: public
title: Tragfähige Grundlagen
type: book_chapter
user_id: '85821'
volume: Band 150
year: '2020'
...
---
_id: '31552'
author:
- first_name: Lara
full_name: Heckmann, Lara
last_name: Heckmann
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
citation:
ama: 'Heckmann L, Häsel-Weide U. Aufgaben für den inklusiven Mathematikunterricht
- aus der Sicht von Lehrkräften. In: Siller H-S, Weigel W, Wörler JF, eds. Beiträge
zum Mathematikunterricht 2020. WTM Verlag; 2020:393-396.'
apa: Heckmann, L., & Häsel-Weide, U. (2020). Aufgaben für den inklusiven Mathematikunterricht
- aus der Sicht von Lehrkräften. In H.-S. Siller, W. Weigel, & J. F. Wörler
(Eds.), Beiträge zum Mathematikunterricht 2020 (pp. 393–396). WTM Verlag.
bibtex: '@inbook{Heckmann_Häsel-Weide_2020, place={Münster}, title={Aufgaben für
den inklusiven Mathematikunterricht - aus der Sicht von Lehrkräften.}, booktitle={Beiträge
zum Mathematikunterricht 2020}, publisher={WTM Verlag}, author={Heckmann, Lara
and Häsel-Weide, Uta}, editor={Siller, Hans-Stefan and Weigel, Wolfgang and Wörler,
Jan Franz}, year={2020}, pages={393–396} }'
chicago: 'Heckmann, Lara, and Uta Häsel-Weide. “Aufgaben für den inklusiven Mathematikunterricht
- aus der Sicht von Lehrkräften.” In Beiträge zum Mathematikunterricht 2020,
edited by Hans-Stefan Siller, Wolfgang Weigel, and Jan Franz Wörler, 393–96. Münster:
WTM Verlag, 2020.'
ieee: 'L. Heckmann and U. Häsel-Weide, “Aufgaben für den inklusiven Mathematikunterricht
- aus der Sicht von Lehrkräften.,” in Beiträge zum Mathematikunterricht 2020,
H.-S. Siller, W. Weigel, and J. F. Wörler, Eds. Münster: WTM Verlag, 2020, pp.
393–396.'
mla: Heckmann, Lara, and Uta Häsel-Weide. “Aufgaben für den inklusiven Mathematikunterricht
- aus der Sicht von Lehrkräften.” Beiträge zum Mathematikunterricht 2020,
edited by Hans-Stefan Siller et al., WTM Verlag, 2020, pp. 393–96.
short: 'L. Heckmann, U. Häsel-Weide, in: H.-S. Siller, W. Weigel, J.F. Wörler (Eds.),
Beiträge zum Mathematikunterricht 2020, WTM Verlag, Münster, 2020, pp. 393–396.'
date_created: 2022-05-31T08:04:02Z
date_updated: 2022-05-31T09:06:05Z
department:
- _id: '98'
- _id: '543'
editor:
- first_name: Hans-Stefan
full_name: Siller, Hans-Stefan
last_name: Siller
- first_name: Wolfgang
full_name: Weigel, Wolfgang
last_name: Weigel
- first_name: Jan Franz
full_name: Wörler, Jan Franz
last_name: Wörler
language:
- iso: ger
page: 393-396
place: Münster
publication: Beiträge zum Mathematikunterricht 2020
publication_identifier:
isbn:
- 978-3-95987-139-6
publication_status: published
publisher: WTM Verlag
related_material:
link:
- relation: table_of_contents
url: https://wtm-verlag.de/BzMU_Download/Inhaltsverzeichnis_BzMU_2020.pdf
status: public
title: Aufgaben für den inklusiven Mathematikunterricht - aus der Sicht von Lehrkräften.
type: book_chapter
user_id: '85821'
year: '2020'
...
---
_id: '31549'
author:
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
citation:
ama: 'Häsel-Weide U. Sachrechnen. In: Heimlich U, Wember FB, eds. Didaktik des
Unterrichts bei Lernschwierigkeiten: Ein Handbuch für Studium und Praxis.
4th ed. W. Kohlhammer GmbH; 2020:308-318.'
apa: 'Häsel-Weide, U. (2020). Sachrechnen. In U. Heimlich & F. B. Wember (Eds.),
Didaktik des Unterrichts bei Lernschwierigkeiten: Ein Handbuch für Studium
und Praxis (4th ed., pp. 308–318). W. Kohlhammer GmbH.'
bibtex: '@inbook{Häsel-Weide_2020, edition={4}, title={Sachrechnen}, booktitle={Didaktik
des Unterrichts bei Lernschwierigkeiten: Ein Handbuch für Studium und Praxis},
publisher={W. Kohlhammer GmbH}, author={Häsel-Weide, Uta}, editor={Heimlich, Ulrich
and Wember, Franz B.}, year={2020}, pages={308–318} }'
chicago: 'Häsel-Weide, Uta. “Sachrechnen.” In Didaktik des Unterrichts bei Lernschwierigkeiten:
Ein Handbuch für Studium und Praxis, edited by Ulrich Heimlich and Franz B.
Wember, 4th ed., 308–18. W. Kohlhammer GmbH, 2020.'
ieee: 'U. Häsel-Weide, “Sachrechnen,” in Didaktik des Unterrichts bei Lernschwierigkeiten:
Ein Handbuch für Studium und Praxis, 4th ed., U. Heimlich and F. B. Wember,
Eds. W. Kohlhammer GmbH, 2020, pp. 308–318.'
mla: 'Häsel-Weide, Uta. “Sachrechnen.” Didaktik des Unterrichts bei Lernschwierigkeiten:
Ein Handbuch für Studium und Praxis, edited by Ulrich Heimlich and Franz B.
Wember, 4th ed., W. Kohlhammer GmbH, 2020, pp. 308–18.'
short: 'U. Häsel-Weide, in: U. Heimlich, F.B. Wember (Eds.), Didaktik des Unterrichts
bei Lernschwierigkeiten: Ein Handbuch für Studium und Praxis, 4th ed., W. Kohlhammer
GmbH, 2020, pp. 308–318.'
date_created: 2022-05-31T07:35:20Z
date_updated: 2022-05-31T09:08:39Z
department:
- _id: '98'
- _id: '543'
edition: '4'
editor:
- first_name: Ulrich
full_name: Heimlich, Ulrich
last_name: Heimlich
- first_name: Franz B.
full_name: Wember, Franz B.
last_name: Wember
language:
- iso: ger
page: 308-318
publication: 'Didaktik des Unterrichts bei Lernschwierigkeiten: Ein Handbuch für Studium
und Praxis'
publication_identifier:
isbn:
- 978-3170355699
publication_status: published
publisher: W. Kohlhammer GmbH
related_material:
link:
- relation: other
url: https://shop.kohlhammer.de/didaktik-des-unterrichts-bei-lernschwierigkeiten-35569.html?gclid=Cj0KCQjw-daUBhCIARIsALbkjSa_QmYACcZiORxbLaSIkKyqxJ4Xr9NcKPoHpFOHNoOt3pmqy_SVn-0aApROEALw_wcB#147=23
status: public
title: Sachrechnen
type: book_chapter
user_id: '85821'
year: '2020'
...
---
_id: '31550'
author:
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
citation:
ama: 'Häsel-Weide U. Mathematik (Primarstufe) in der Lehrerinnen- und Lehrerbildung.
Qualifizierung für das Lehren von Mathematik in der Grundschule. In: Cramer C,
König J, Rothland M, Blömeke S, eds. Handbuch Lehrerinnen- und Lehrerbildung.
1st ed. Julius Klinkhardt; 2020:462-469.'
apa: Häsel-Weide, U. (2020). Mathematik (Primarstufe) in der Lehrerinnen- und Lehrerbildung.
Qualifizierung für das Lehren von Mathematik in der Grundschule. In C. Cramer,
J. König, M. Rothland, & S. Blömeke (Eds.), Handbuch Lehrerinnen- und Lehrerbildung
(1st ed., pp. 462–469). Julius Klinkhardt.
bibtex: '@inbook{Häsel-Weide_2020, place={Bad Heilbrunn}, edition={1}, title={Mathematik
(Primarstufe) in der Lehrerinnen- und Lehrerbildung. Qualifizierung für das Lehren
von Mathematik in der Grundschule.}, booktitle={Handbuch Lehrerinnen- und Lehrerbildung},
publisher={Julius Klinkhardt}, author={Häsel-Weide, Uta}, editor={Cramer, Colin
and König, Johannes and Rothland, Martin and Blömeke, Sigrid}, year={2020}, pages={462–469}
}'
chicago: 'Häsel-Weide, Uta. “Mathematik (Primarstufe) in der Lehrerinnen- und Lehrerbildung.
Qualifizierung für das Lehren von Mathematik in der Grundschule.” In Handbuch
Lehrerinnen- und Lehrerbildung, edited by Colin Cramer, Johannes König, Martin
Rothland, and Sigrid Blömeke, 1st ed., 462–69. Bad Heilbrunn: Julius Klinkhardt,
2020.'
ieee: 'U. Häsel-Weide, “Mathematik (Primarstufe) in der Lehrerinnen- und Lehrerbildung.
Qualifizierung für das Lehren von Mathematik in der Grundschule.,” in Handbuch
Lehrerinnen- und Lehrerbildung, 1st ed., C. Cramer, J. König, M. Rothland,
and S. Blömeke, Eds. Bad Heilbrunn: Julius Klinkhardt, 2020, pp. 462–469.'
mla: Häsel-Weide, Uta. “Mathematik (Primarstufe) in der Lehrerinnen- und Lehrerbildung.
Qualifizierung für das Lehren von Mathematik in der Grundschule.” Handbuch
Lehrerinnen- und Lehrerbildung, edited by Colin Cramer et al., 1st ed., Julius
Klinkhardt, 2020, pp. 462–69.
short: 'U. Häsel-Weide, in: C. Cramer, J. König, M. Rothland, S. Blömeke (Eds.),
Handbuch Lehrerinnen- und Lehrerbildung, 1st ed., Julius Klinkhardt, Bad Heilbrunn,
2020, pp. 462–469.'
date_created: 2022-05-31T07:41:32Z
date_updated: 2022-06-01T08:51:05Z
department:
- _id: '98'
- _id: '543'
edition: '1'
editor:
- first_name: Colin
full_name: Cramer, Colin
last_name: Cramer
- first_name: Johannes
full_name: König, Johannes
last_name: König
- first_name: Martin
full_name: Rothland, Martin
last_name: Rothland
- first_name: Sigrid
full_name: Blömeke, Sigrid
last_name: Blömeke
language:
- iso: ger
page: 462-469
place: Bad Heilbrunn
publication: Handbuch Lehrerinnen- und Lehrerbildung
publication_identifier:
isbn:
- 978-3-8252-5473-5
publication_status: published
publisher: Julius Klinkhardt
related_material:
link:
- relation: other
url: https://www.handbuch-lehrerbildung.net/
status: public
title: Mathematik (Primarstufe) in der Lehrerinnen- und Lehrerbildung. Qualifizierung
für das Lehren von Mathematik in der Grundschule.
type: book_chapter
user_id: '60267'
year: '2020'
...
---
_id: '33273'
abstract:
- lang: ger
text: "Dieses Lernangebot widmet sich der linearen Algebra als dem Teil der Mathematik,
der neben der Optimierung und der Stochastik die Grundlage für praktisch alle
Entwicklungen im Bereich Künstliche Intelligenz (KI) darstellt. Das Fach ist jedoch
für Anfänger meist ungewohnt abstrakt und wird daher oft als besonders schwierig
und unanschaulich empfunden. In diesem Kurs wird das Erlernen mathematischer Kenntnisse
in linearer Algebra verknüpft mit dem aktuellen und faszinierenden Anwendungsfeld
der künstlichen neuronalen Netze (KNN). Daraus ergeben sich in natürlicher Weise
Anwendungsbeispiele, an denen die wesentlichen Konzepte der linearen Algebra erklärt
werden können.\r\n\r\nBehandelte Themen sind:\r\n\r\n Der Vektorraum der reellen
Zahlentupel, reelle Vektorräume allgemein\r\n Lineare Abbildungen\r\n Matrizen\r\n
\ Koordinaten und darstellende Matrizen\r\n Lineare Gleichungssysteme, Gaußalgorithmus\r\n
\ Determinante\r\n Ein Ausblick auf nichtlineare Techniken, die für neuronale
Netzwerke relevant sind."
author:
- first_name: Thomas
full_name: Schramm, Thomas
last_name: Schramm
- first_name: Ingenuin
full_name: Gasser, Ingenuin
last_name: Gasser
- first_name: Sören
full_name: Schwenker, Sören
id: '97359'
last_name: Schwenker
orcid: 0000-0002-8054-2058
- first_name: Ruedi
full_name: Seiler, Ruedi
last_name: Seiler
- first_name: Alexander
full_name: Lohse, Alexander
last_name: Lohse
- first_name: Kay
full_name: Zobel, Kay
last_name: Zobel
citation:
ama: Schramm T, Gasser I, Schwenker S, Seiler R, Lohse A, Zobel K. Linear Algebra
Driven by Data Science. Hamburg Open Online University; 2020.
apa: Schramm, T., Gasser, I., Schwenker, S., Seiler, R., Lohse, A., & Zobel,
K. (2020). Linear Algebra driven by Data Science. Hamburg Open Online University.
bibtex: '@book{Schramm_Gasser_Schwenker_Seiler_Lohse_Zobel_2020, title={Linear Algebra
driven by Data Science}, publisher={Hamburg Open Online University}, author={Schramm,
Thomas and Gasser, Ingenuin and Schwenker, Sören and Seiler, Ruedi and Lohse,
Alexander and Zobel, Kay}, year={2020} }'
chicago: Schramm, Thomas, Ingenuin Gasser, Sören Schwenker, Ruedi Seiler, Alexander
Lohse, and Kay Zobel. Linear Algebra Driven by Data Science. Hamburg Open
Online University, 2020.
ieee: T. Schramm, I. Gasser, S. Schwenker, R. Seiler, A. Lohse, and K. Zobel, Linear
Algebra driven by Data Science. Hamburg Open Online University, 2020.
mla: Schramm, Thomas, et al. Linear Algebra Driven by Data Science. Hamburg
Open Online University, 2020.
short: T. Schramm, I. Gasser, S. Schwenker, R. Seiler, A. Lohse, K. Zobel, Linear
Algebra Driven by Data Science, Hamburg Open Online University, 2020.
date_created: 2022-09-06T12:06:41Z
date_updated: 2022-09-06T14:05:13Z
department:
- _id: '94'
extern: '1'
language:
- iso: eng
main_file_link:
- url: https://www.hoou.de/projects/linear-algebra-driven-by-data-science/
publisher: Hamburg Open Online University
status: public
title: Linear Algebra driven by Data Science
type: misc
user_id: '97359'
year: '2020'
...
---
_id: '33282'
abstract:
- lang: eng
text: "We derive a criterium for the almost sure finiteness of perpetual integrals
of L ́evy\r\nprocesses for a class of real functions including all continuous
functions and for general one-\r\ndimensional L ́evy processes that drifts to
plus infinity. This generalizes previous work of D ̈oring\r\nand Kyprianou, who
considered L ́evy processes having a local time, leaving the general case as an\r\nopen
problem. It turns out, that the criterium in the general situation simplifies
significantly in\r\nthe situation, where the process has a local time, but we
also demonstrate that in general our cri-\r\nterium can not be reduced. This answers
an open problem posed in D ̈oring, L. and Kyprianou, A.\r\n(2015)."
author:
- first_name: Martin
full_name: Kolb, Martin
id: '48880'
last_name: Kolb
- first_name: Mladen
full_name: Savov, Mladen
last_name: Savov
citation:
ama: Kolb M, Savov M. A Characterization of the Finiteness of Perpetual Integrals
of Levy Processes. Bernoulli. 2020;26(2):1453-1472. doi:https://doi.org/10.48550/arXiv.1903.03792
apa: Kolb, M., & Savov, M. (2020). A Characterization of the Finiteness of Perpetual
Integrals of Levy Processes. Bernoulli, 26(2), 1453–1472. https://doi.org/10.48550/arXiv.1903.03792
bibtex: '@article{Kolb_Savov_2020, title={A Characterization of the Finiteness of
Perpetual Integrals of Levy Processes}, volume={26}, DOI={https://doi.org/10.48550/arXiv.1903.03792},
number={2}, journal={Bernoulli}, publisher={Bernoulli Society for Mathematical
Statistics and Probability}, author={Kolb, Martin and Savov, Mladen}, year={2020},
pages={1453–1472} }'
chicago: 'Kolb, Martin, and Mladen Savov. “A Characterization of the Finiteness
of Perpetual Integrals of Levy Processes.” Bernoulli 26, no. 2 (2020):
1453–72. https://doi.org/10.48550/arXiv.1903.03792.'
ieee: 'M. Kolb and M. Savov, “A Characterization of the Finiteness of Perpetual
Integrals of Levy Processes,” Bernoulli, vol. 26, no. 2, pp. 1453–1472,
2020, doi: https://doi.org/10.48550/arXiv.1903.03792.'
mla: Kolb, Martin, and Mladen Savov. “A Characterization of the Finiteness of Perpetual
Integrals of Levy Processes.” Bernoulli, vol. 26, no. 2, Bernoulli Society
for Mathematical Statistics and Probability, 2020, pp. 1453–72, doi:https://doi.org/10.48550/arXiv.1903.03792.
short: M. Kolb, M. Savov, Bernoulli 26 (2020) 1453–1472.
date_created: 2022-09-08T06:36:37Z
date_updated: 2022-09-08T06:48:40Z
department:
- _id: '96'
doi: https://doi.org/10.48550/arXiv.1903.03792
intvolume: ' 26'
issue: '2'
keyword:
- L ́evy processes
- Perpetual integrals
- Potential measures
language:
- iso: eng
page: 1453-1472
publication: Bernoulli
publication_status: published
publisher: Bernoulli Society for Mathematical Statistics and Probability
status: public
title: A Characterization of the Finiteness of Perpetual Integrals of Levy Processes
type: journal_article
user_id: '85821'
volume: 26
year: '2020'
...
---
_id: '33330'
abstract:
- lang: eng
text: 'Reciprocal relations are binary relations Q with entries Q(i,j)∈[0,1], and
such that Q(i,j)+Q(j,i)=1. Relations of this kind occur quite naturally in various
domains, such as preference modeling and preference learning. For example, Q(i,j)
could be the fraction of voters in a population who prefer candidate i to candidate
j. In the literature, various attempts have been made at generalizing the notion
of transitivity to reciprocal relations. In this paper, we compare three important
frameworks of generalized transitivity: g-stochastic transitivity, T-transitivity,
and cycle-transitivity. To this end, we introduce E-transitivity as an even more
general notion. We also use this framework to extend an existing hierarchy of
different types of transitivity. As an illustration, we study transitivity properties
of probabilities of pairwise preferences, which are induced as marginals of an
underlying probability distribution on rankings (strict total orders) of a set
of alternatives. In particular, we analyze the interesting case of the so-called
Babington Smith model, a parametric family of distributions of that kind.'
author:
- first_name: Björn
full_name: Haddenhorst, Björn
last_name: Haddenhorst
- first_name: Eyke
full_name: Hüllermeier, Eyke
last_name: Hüllermeier
- first_name: Martin
full_name: Kolb, Martin
id: '48880'
last_name: Kolb
citation:
ama: 'Haddenhorst B, Hüllermeier E, Kolb M. Generalized transitivity: A systematic
comparison of concepts with an application to preferences in the Babington Smith
model. International Journal of Approximate Reasoning. 2020;119(2):373-407.
doi:https://doi.org/10.1016/j.ijar.2020.01.007'
apa: 'Haddenhorst, B., Hüllermeier, E., & Kolb, M. (2020). Generalized transitivity:
A systematic comparison of concepts with an application to preferences in the
Babington Smith model. International Journal of Approximate Reasoning,
119(2), 373–407. https://doi.org/10.1016/j.ijar.2020.01.007'
bibtex: '@article{Haddenhorst_Hüllermeier_Kolb_2020, title={Generalized transitivity:
A systematic comparison of concepts with an application to preferences in the
Babington Smith model}, volume={119}, DOI={https://doi.org/10.1016/j.ijar.2020.01.007},
number={2}, journal={International Journal of Approximate Reasoning}, publisher={Elsevier},
author={Haddenhorst, Björn and Hüllermeier, Eyke and Kolb, Martin}, year={2020},
pages={373–407} }'
chicago: 'Haddenhorst, Björn, Eyke Hüllermeier, and Martin Kolb. “Generalized Transitivity:
A Systematic Comparison of Concepts with an Application to Preferences in the
Babington Smith Model.” International Journal of Approximate Reasoning
119, no. 2 (2020): 373–407. https://doi.org/10.1016/j.ijar.2020.01.007.'
ieee: 'B. Haddenhorst, E. Hüllermeier, and M. Kolb, “Generalized transitivity: A
systematic comparison of concepts with an application to preferences in the Babington
Smith model,” International Journal of Approximate Reasoning, vol. 119,
no. 2, pp. 373–407, 2020, doi: https://doi.org/10.1016/j.ijar.2020.01.007.'
mla: 'Haddenhorst, Björn, et al. “Generalized Transitivity: A Systematic Comparison
of Concepts with an Application to Preferences in the Babington Smith Model.”
International Journal of Approximate Reasoning, vol. 119, no. 2, Elsevier,
2020, pp. 373–407, doi:https://doi.org/10.1016/j.ijar.2020.01.007.'
short: B. Haddenhorst, E. Hüllermeier, M. Kolb, International Journal of Approximate
Reasoning 119 (2020) 373–407.
date_created: 2022-09-12T07:13:19Z
date_updated: 2022-09-12T07:13:30Z
department:
- _id: '96'
doi: https://doi.org/10.1016/j.ijar.2020.01.007
intvolume: ' 119'
issue: '2'
language:
- iso: eng
page: 373-407
publication: International Journal of Approximate Reasoning
publication_status: published
publisher: Elsevier
status: public
title: 'Generalized transitivity: A systematic comparison of concepts with an application
to preferences in the Babington Smith model'
type: journal_article
user_id: '85821'
volume: 119
year: '2020'
...
---
_id: '34828'
article_type: original
author:
- first_name: Maximilian
full_name: Hanusch, Maximilian
id: '30905'
last_name: Hanusch
citation:
ama: Hanusch M. The regularity problem for Lie groups with asymptotic estimate Lie
algebras. Indagationes Mathematicae. 2020;31(1):152-176. doi:10.1016/j.indag.2019.12.001
apa: Hanusch, M. (2020). The regularity problem for Lie groups with asymptotic estimate
Lie algebras. Indagationes Mathematicae, 31(1), 152–176. https://doi.org/10.1016/j.indag.2019.12.001
bibtex: '@article{Hanusch_2020, title={The regularity problem for Lie groups with
asymptotic estimate Lie algebras}, volume={31}, DOI={10.1016/j.indag.2019.12.001},
number={1}, journal={Indagationes Mathematicae}, publisher={Elsevier BV}, author={Hanusch,
Maximilian}, year={2020}, pages={152–176} }'
chicago: 'Hanusch, Maximilian. “The Regularity Problem for Lie Groups with Asymptotic
Estimate Lie Algebras.” Indagationes Mathematicae 31, no. 1 (2020): 152–76.
https://doi.org/10.1016/j.indag.2019.12.001.'
ieee: 'M. Hanusch, “The regularity problem for Lie groups with asymptotic estimate
Lie algebras,” Indagationes Mathematicae, vol. 31, no. 1, pp. 152–176,
2020, doi: 10.1016/j.indag.2019.12.001.'
mla: Hanusch, Maximilian. “The Regularity Problem for Lie Groups with Asymptotic
Estimate Lie Algebras.” Indagationes Mathematicae, vol. 31, no. 1, Elsevier
BV, 2020, pp. 152–76, doi:10.1016/j.indag.2019.12.001.
short: M. Hanusch, Indagationes Mathematicae 31 (2020) 152–176.
date_created: 2022-12-22T09:37:04Z
date_updated: 2023-01-09T18:07:34Z
department:
- _id: '93'
doi: 10.1016/j.indag.2019.12.001
extern: '1'
intvolume: ' 31'
issue: '1'
keyword:
- regularity of Lie groups
language:
- iso: eng
page: 152-176
publication: Indagationes Mathematicae
publication_identifier:
issn:
- 0019-3577
publication_status: published
publisher: Elsevier BV
status: public
title: The regularity problem for Lie groups with asymptotic estimate Lie algebras
type: journal_article
user_id: '30905'
volume: 31
year: '2020'
...
---
_id: '34830'
article_type: original
author:
- first_name: Maximilian
full_name: Hanusch, Maximilian
id: '30905'
last_name: Hanusch
citation:
ama: Hanusch M. The Strong Trotter Property for Locally μ-convex Lie Groups. Journal
of Lie Theory. 2020;30(1):025-032.
apa: Hanusch, M. (2020). The Strong Trotter Property for Locally μ-convex Lie Groups.
Journal of Lie Theory, 30(1), 025–032.
bibtex: '@article{Hanusch_2020, title={The Strong Trotter Property for Locally μ-convex
Lie Groups}, volume={30}, number={1}, journal={Journal of Lie Theory}, publisher={Heldermann
Verlag}, author={Hanusch, Maximilian}, year={2020}, pages={025–032} }'
chicago: 'Hanusch, Maximilian. “The Strong Trotter Property for Locally μ-Convex
Lie Groups.” Journal of Lie Theory 30, no. 1 (2020): 025–032.'
ieee: M. Hanusch, “The Strong Trotter Property for Locally μ-convex Lie Groups,”
Journal of Lie Theory, vol. 30, no. 1, pp. 025–032, 2020.
mla: Hanusch, Maximilian. “The Strong Trotter Property for Locally μ-Convex Lie
Groups.” Journal of Lie Theory, vol. 30, no. 1, Heldermann Verlag, 2020,
pp. 025–32.
short: M. Hanusch, Journal of Lie Theory 30 (2020) 025–032.
date_created: 2022-12-22T09:41:22Z
date_updated: 2023-01-09T18:07:37Z
department:
- _id: '93'
extern: '1'
intvolume: ' 30'
issue: '1'
keyword:
- Lie theory
- strong Trotter property
language:
- iso: eng
page: 025-032
publication: Journal of Lie Theory
publication_status: published
publisher: Heldermann Verlag
status: public
title: The Strong Trotter Property for Locally μ-convex Lie Groups
type: journal_article
user_id: '30905'
volume: 30
year: '2020'
...
---
_id: '45383'
author:
- first_name: Jennifer
full_name: Dröse, Jennifer
id: '85820'
last_name: Dröse
- first_name: Susanne
full_name: Prediger, Susanne
last_name: Prediger
citation:
ama: 'Dröse J, Prediger S. Enhancing Fifth Graders’ Awareness of Syntactic Features
in Mathematical Word Problems: A Design Research Study on the Variation Principle.
Journal für Mathematik-Didaktik, 41(2). Published online 2020:399-422.
doi:doi.org/10.1007/s13138-019-00153-z'
apa: 'Dröse, J., & Prediger, S. (2020). Enhancing Fifth Graders’ Awareness of
Syntactic Features in Mathematical Word Problems: A Design Research Study on the
Variation Principle. Journal Für Mathematik-Didaktik, 41(2), 399–422. https://doi.org/doi.org/10.1007/s13138-019-00153-z'
bibtex: '@article{Dröse_Prediger_2020, title={Enhancing Fifth Graders’ Awareness
of Syntactic Features in Mathematical Word Problems: A Design Research Study on
the Variation Principle}, DOI={doi.org/10.1007/s13138-019-00153-z},
journal={Journal für Mathematik-Didaktik, 41(2)}, author={Dröse, Jennifer and
Prediger, Susanne}, year={2020}, pages={399–422} }'
chicago: 'Dröse, Jennifer, and Susanne Prediger. “Enhancing Fifth Graders’ Awareness
of Syntactic Features in Mathematical Word Problems: A Design Research Study on
the Variation Principle.” Journal Für Mathematik-Didaktik, 41(2), 2020,
399–422. https://doi.org/doi.org/10.1007/s13138-019-00153-z.'
ieee: 'J. Dröse and S. Prediger, “Enhancing Fifth Graders’ Awareness of Syntactic
Features in Mathematical Word Problems: A Design Research Study on the Variation
Principle,” Journal für Mathematik-Didaktik, 41(2), pp. 399–422, 2020,
doi: doi.org/10.1007/s13138-019-00153-z.'
mla: 'Dröse, Jennifer, and Susanne Prediger. “Enhancing Fifth Graders’ Awareness
of Syntactic Features in Mathematical Word Problems: A Design Research Study on
the Variation Principle.” Journal Für Mathematik-Didaktik, 41(2), 2020,
pp. 399–422, doi:doi.org/10.1007/s13138-019-00153-z.'
short: J. Dröse, S. Prediger, Journal Für Mathematik-Didaktik, 41(2) (2020) 399–422.
date_created: 2023-05-31T07:16:27Z
date_updated: 2023-11-02T08:06:54Z
department:
- _id: '98'
doi: doi.org/10.1007/s13138-019-00153-z
language:
- iso: eng
page: 399-422
publication: Journal für Mathematik-Didaktik, 41(2)
quality_controlled: '1'
status: public
title: 'Enhancing Fifth Graders’ Awareness of Syntactic Features in Mathematical Word
Problems: A Design Research Study on the Variation Principle'
type: journal_article
user_id: '85820'
year: '2020'
...
---
_id: '29413'
author:
- first_name: K.
full_name: Flaßkamp, K.
last_name: Flaßkamp
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: 'S. '
full_name: 'Peitz, S. '
last_name: Peitz
citation:
ama: 'Flaßkamp K, Ober-Blöbaum S, Peitz S. Symmetry in optimal control: A multiobjective
model predictive control approach. In: Junge O, Schütze O, Froyland G, Ober-Blöbaum
S, Padberg-Gehle K, eds. Advances in Dynamics, Optimization and Computation.
Springer International Publishing; 2020:209-237.'
apa: 'Flaßkamp, K., Ober-Blöbaum, S., & Peitz, S. (2020). Symmetry in optimal
control: A multiobjective model predictive control approach. In O. Junge, O. Schütze,
G. Froyland, S. Ober-Blöbaum, & K. Padberg-Gehle (Eds.), Advances in Dynamics,
Optimization and Computation (pp. 209–237). Springer International Publishing.'
bibtex: '@inbook{Flaßkamp_Ober-Blöbaum_Peitz_2020, place={Cham}, title={Symmetry
in optimal control: A multiobjective model predictive control approach}, booktitle={Advances
in Dynamics, Optimization and Computation}, publisher={Springer International
Publishing}, author={Flaßkamp, K. and Ober-Blöbaum, Sina and Peitz, S. }, editor={Junge,
Oliver and Schütze, Oliver and Froyland, Gary and Ober-Blöbaum, Sina and Padberg-Gehle,
Kathrin}, year={2020}, pages={209–237} }'
chicago: 'Flaßkamp, K., Sina Ober-Blöbaum, and S. Peitz. “Symmetry in Optimal Control:
A Multiobjective Model Predictive Control Approach.” In Advances in Dynamics,
Optimization and Computation, edited by Oliver Junge, Oliver Schütze, Gary
Froyland, Sina Ober-Blöbaum, and Kathrin Padberg-Gehle, 209–37. Cham: Springer
International Publishing, 2020.'
ieee: 'K. Flaßkamp, S. Ober-Blöbaum, and S. Peitz, “Symmetry in optimal control:
A multiobjective model predictive control approach,” in Advances in Dynamics,
Optimization and Computation, O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum,
and K. Padberg-Gehle, Eds. Cham: Springer International Publishing, 2020, pp.
209–237.'
mla: 'Flaßkamp, K., et al. “Symmetry in Optimal Control: A Multiobjective Model
Predictive Control Approach.” Advances in Dynamics, Optimization and Computation,
edited by Oliver Junge et al., Springer International Publishing, 2020, pp. 209–37.'
short: 'K. Flaßkamp, S. Ober-Blöbaum, S. Peitz, in: O. Junge, O. Schütze, G. Froyland,
S. Ober-Blöbaum, K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and
Computation, Springer International Publishing, Cham, 2020, pp. 209–237.'
date_created: 2022-01-18T12:58:18Z
date_updated: 2023-11-08T08:15:14Z
department:
- _id: '636'
editor:
- first_name: Oliver
full_name: Junge, Oliver
last_name: Junge
- first_name: Oliver
full_name: Schütze, Oliver
last_name: Schütze
- first_name: Gary
full_name: Froyland, Gary
last_name: Froyland
- first_name: Sina
full_name: Ober-Blöbaum, Sina
last_name: Ober-Blöbaum
- first_name: Kathrin
full_name: Padberg-Gehle, Kathrin
last_name: Padberg-Gehle
language:
- iso: eng
page: 209-237
place: Cham
publication: Advances in Dynamics, Optimization and Computation
publisher: Springer International Publishing
status: public
title: 'Symmetry in optimal control: A multiobjective model predictive control approach'
type: book_chapter
user_id: '15694'
year: '2020'
...
---
_id: '31553'
author:
- first_name: Susanne
full_name: Seitz, Susanne
last_name: Seitz
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
- first_name: Yannik
full_name: Wilke, Yannik
last_name: Wilke
- first_name: Melina
full_name: Wallner, Melina
id: '45445'
last_name: Wallner
citation:
ama: Seitz S, Häsel-Weide U, Wilke Y, Wallner M. Expertise von Lehrpersonen für
inklusiven Mathematikunterricht der Sekundarstufe - Ausgangspunkte zur Professionalisierungsforschung.
K:ON Kölner Online-Journal für Lehrer*innenbildung. 2020;(2). doi:10.18716/ojs/kON/2020.2.03
apa: Seitz, S., Häsel-Weide, U., Wilke, Y., & Wallner, M. (2020). Expertise
von Lehrpersonen für inklusiven Mathematikunterricht der Sekundarstufe - Ausgangspunkte
zur Professionalisierungsforschung. K:ON Kölner Online-Journal für Lehrer*innenbildung,
2. https://doi.org/10.18716/ojs/kON/2020.2.03
bibtex: '@article{Seitz_Häsel-Weide_Wilke_Wallner_2020, title={Expertise von Lehrpersonen
für inklusiven Mathematikunterricht der Sekundarstufe - Ausgangspunkte zur Professionalisierungsforschung.},
DOI={10.18716/ojs/kON/2020.2.03},
number={2}, journal={K:ON Kölner Online-Journal für Lehrer*innenbildung}, author={Seitz,
Susanne and Häsel-Weide, Uta and Wilke, Yannik and Wallner, Melina}, year={2020}
}'
chicago: Seitz, Susanne, Uta Häsel-Weide, Yannik Wilke, and Melina Wallner. “Expertise
von Lehrpersonen für inklusiven Mathematikunterricht der Sekundarstufe - Ausgangspunkte
zur Professionalisierungsforschung.” K:ON Kölner Online-Journal für Lehrer*innenbildung,
no. 2 (2020). https://doi.org/10.18716/ojs/kON/2020.2.03.
ieee: 'S. Seitz, U. Häsel-Weide, Y. Wilke, and M. Wallner, “Expertise von Lehrpersonen
für inklusiven Mathematikunterricht der Sekundarstufe - Ausgangspunkte zur Professionalisierungsforschung.,”
K:ON Kölner Online-Journal für Lehrer*innenbildung, no. 2, 2020, doi: 10.18716/ojs/kON/2020.2.03.'
mla: Seitz, Susanne, et al. “Expertise von Lehrpersonen für inklusiven Mathematikunterricht
der Sekundarstufe - Ausgangspunkte zur Professionalisierungsforschung.” K:ON
Kölner Online-Journal für Lehrer*innenbildung, no. 2, 2020, doi:10.18716/ojs/kON/2020.2.03.
short: S. Seitz, U. Häsel-Weide, Y. Wilke, M. Wallner, K:ON Kölner Online-Journal
für Lehrer*innenbildung (2020).
date_created: 2022-05-31T08:11:34Z
date_updated: 2023-11-24T16:50:38Z
department:
- _id: '98'
- _id: '543'
doi: 10.18716/ojs/kON/2020.2.03
issue: '2'
language:
- iso: ger
publication: K:ON Kölner Online-Journal für Lehrer*innenbildung
publication_status: published
status: public
title: Expertise von Lehrpersonen für inklusiven Mathematikunterricht der Sekundarstufe
- Ausgangspunkte zur Professionalisierungsforschung.
type: journal_article
user_id: '45445'
year: '2020'
...
---
_id: '45384'
author:
- first_name: Jennifer
full_name: Dröse, Jennifer
id: '85820'
last_name: Dröse
citation:
ama: 'Dröse J. Verstehensgrundlagen diagnostizieren - Welche Wissenselemente fokussieren
Lehrkräfte? In: Siller H-S, Weigel W, Wöler JF, eds. Beiträge zum Mathematikunterricht
2020 . WTM; 2020:233-236.'
apa: Dröse, J. (2020). Verstehensgrundlagen diagnostizieren - Welche Wissenselemente
fokussieren Lehrkräfte? In H.-S. Siller, W. Weigel, & J. F. Wöler (Eds.),
Beiträge zum Mathematikunterricht 2020 (pp. 233–236). WTM.
bibtex: '@inproceedings{Dröse_2020, place={Münster}, title={Verstehensgrundlagen
diagnostizieren - Welche Wissenselemente fokussieren Lehrkräfte?}, booktitle={Beiträge
zum Mathematikunterricht 2020 }, publisher={WTM}, author={Dröse, Jennifer}, editor={Siller,
H.-S. and Weigel, W. and Wöler, J. F.}, year={2020}, pages={233–236} }'
chicago: 'Dröse, Jennifer. “Verstehensgrundlagen diagnostizieren - Welche Wissenselemente
fokussieren Lehrkräfte?” In Beiträge zum Mathematikunterricht 2020 , edited
by H.-S. Siller, W. Weigel, and J. F. Wöler, 233–36. Münster: WTM, 2020.'
ieee: J. Dröse, “Verstehensgrundlagen diagnostizieren - Welche Wissenselemente fokussieren
Lehrkräfte?,” in Beiträge zum Mathematikunterricht 2020 , 2020, pp. 233–236.
mla: Dröse, Jennifer. “Verstehensgrundlagen diagnostizieren - Welche Wissenselemente
fokussieren Lehrkräfte?” Beiträge zum Mathematikunterricht 2020 , edited
by H.-S. Siller et al., WTM, 2020, pp. 233–36.
short: 'J. Dröse, in: H.-S. Siller, W. Weigel, J.F. Wöler (Eds.), Beiträge zum Mathematikunterricht
2020 , WTM, Münster, 2020, pp. 233–236.'
date_created: 2023-05-31T07:18:51Z
date_updated: 2023-11-02T08:09:21Z
department:
- _id: '98'
editor:
- first_name: H.-S.
full_name: Siller, H.-S.
last_name: Siller
- first_name: W.
full_name: Weigel, W.
last_name: Weigel
- first_name: J. F.
full_name: Wöler, J. F.
last_name: Wöler
language:
- iso: ger
page: 233-236
place: Münster
publication: 'Beiträge zum Mathematikunterricht 2020 '
publisher: WTM
status: public
title: Verstehensgrundlagen diagnostizieren - Welche Wissenselemente fokussieren Lehrkräfte?
type: conference
user_id: '85820'
year: '2020'
...
---
_id: '45386'
author:
- first_name: Jennifer
full_name: Dröse, Jennifer
id: '85820'
last_name: Dröse
- first_name: V.
full_name: Eisen, V.
last_name: Eisen
- first_name: Susanne
full_name: Prediger, Susanne
last_name: Prediger
- first_name: M.
full_name: Altieri, M.
last_name: Altieri
- first_name: M.
full_name: Schellenbach, M.
last_name: Schellenbach
- first_name: R.
full_name: Menning, R.
last_name: Menning
citation:
ama: 'Dröse J, Eisen V, Prediger S, Altieri M, Schellenbach M, Menning R. Textaufgaben
lesen lernen – eine digital gestützte Einheit mit App . In: Mathematik lehren
223. ; 2020:38-40.'
apa: Dröse, J., Eisen, V., Prediger, S., Altieri, M., Schellenbach, M., & Menning,
R. (2020). Textaufgaben lesen lernen – eine digital gestützte Einheit mit App
. In Mathematik lehren 223 (pp. 38–40).
bibtex: '@inbook{Dröse_Eisen_Prediger_Altieri_Schellenbach_Menning_2020, title={Textaufgaben
lesen lernen – eine digital gestützte Einheit mit App }, booktitle={Mathematik
lehren 223}, author={Dröse, Jennifer and Eisen, V. and Prediger, Susanne and Altieri,
M. and Schellenbach, M. and Menning, R.}, year={2020}, pages={38–40} }'
chicago: Dröse, Jennifer, V. Eisen, Susanne Prediger, M. Altieri, M. Schellenbach,
and R. Menning. “Textaufgaben lesen lernen – eine digital gestützte Einheit mit
App .” In Mathematik lehren 223, 38–40, 2020.
ieee: J. Dröse, V. Eisen, S. Prediger, M. Altieri, M. Schellenbach, and R. Menning,
“Textaufgaben lesen lernen – eine digital gestützte Einheit mit App ,” in Mathematik
lehren 223, 2020, pp. 38–40.
mla: Dröse, Jennifer, et al. “Textaufgaben lesen lernen – eine digital gestützte
Einheit mit App .” Mathematik lehren 223, 2020, pp. 38–40.
short: 'J. Dröse, V. Eisen, S. Prediger, M. Altieri, M. Schellenbach, R. Menning,
in: Mathematik lehren 223, 2020, pp. 38–40.'
date_created: 2023-05-31T07:42:06Z
date_updated: 2023-11-02T08:09:54Z
department:
- _id: '98'
language:
- iso: ger
page: 38-40
publication: Mathematik lehren 223
status: public
title: 'Textaufgaben lesen lernen – eine digital gestützte Einheit mit App '
type: book_chapter
user_id: '85820'
year: '2020'
...
---
_id: '17994'
abstract:
- lang: eng
text: In this work we review the novel framework for the computation of finite dimensional
invariant sets of infinite dimensional dynamical systems developed in [6] and
[36]. By utilizing results on embedding techniques for infinite dimensional systems
we extend a classical subdivision scheme [8] as well as a continuation algorithm
[7] for the computation of attractors and invariant manifolds of finite dimensional
systems to the infinite dimensional case. We show how to implement this approach
for the analysis of delay differential equations and partial differential equations
and illustrate the feasibility of our implementation by computing the attractor
of the Mackey-Glass equation and the unstable manifold of the one-dimensional
Kuramoto-Sivashinsky equation.
author:
- first_name: Raphael
full_name: Gerlach, Raphael
id: '32655'
last_name: Gerlach
- first_name: Adrian
full_name: Ziessler, Adrian
last_name: Ziessler
citation:
ama: 'Gerlach R, Ziessler A. The Approximation of Invariant Sets in Infinite Dimensional
Dynamical Systems. In: Junge O, Schütze O, Ober-Blöbaum S, Padberg-Gehle K, eds.
Advances in Dynamics, Optimization and Computation. Vol 304. Studies in
Systems, Decision and Control. Springer International Publishing; 2020:66-85.
doi:10.1007/978-3-030-51264-4_3'
apa: Gerlach, R., & Ziessler, A. (2020). The Approximation of Invariant Sets
in Infinite Dimensional Dynamical Systems. In O. Junge, O. Schütze, S. Ober-Blöbaum,
& K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation
(Vol. 304, pp. 66–85). Springer International Publishing. https://doi.org/10.1007/978-3-030-51264-4_3
bibtex: '@inbook{Gerlach_Ziessler_2020, place={Cham}, series={Studies in Systems,
Decision and Control}, title={The Approximation of Invariant Sets in Infinite
Dimensional Dynamical Systems}, volume={304}, DOI={10.1007/978-3-030-51264-4_3},
booktitle={Advances in Dynamics, Optimization and Computation}, publisher={Springer
International Publishing}, author={Gerlach, Raphael and Ziessler, Adrian}, editor={Junge,
Oliver and Schütze, Oliver and Ober-Blöbaum, Sina and Padberg-Gehle, Kathrin},
year={2020}, pages={66–85}, collection={Studies in Systems, Decision and Control}
}'
chicago: 'Gerlach, Raphael, and Adrian Ziessler. “The Approximation of Invariant
Sets in Infinite Dimensional Dynamical Systems.” In Advances in Dynamics, Optimization
and Computation, edited by Oliver Junge, Oliver Schütze, Sina Ober-Blöbaum,
and Kathrin Padberg-Gehle, 304:66–85. Studies in Systems, Decision and Control.
Cham: Springer International Publishing, 2020. https://doi.org/10.1007/978-3-030-51264-4_3.'
ieee: 'R. Gerlach and A. Ziessler, “The Approximation of Invariant Sets in Infinite
Dimensional Dynamical Systems,” in Advances in Dynamics, Optimization and Computation,
vol. 304, O. Junge, O. Schütze, S. Ober-Blöbaum, and K. Padberg-Gehle, Eds. Cham:
Springer International Publishing, 2020, pp. 66–85.'
mla: Gerlach, Raphael, and Adrian Ziessler. “The Approximation of Invariant Sets
in Infinite Dimensional Dynamical Systems.” Advances in Dynamics, Optimization
and Computation, edited by Oliver Junge et al., vol. 304, Springer International
Publishing, 2020, pp. 66–85, doi:10.1007/978-3-030-51264-4_3.
short: 'R. Gerlach, A. Ziessler, in: O. Junge, O. Schütze, S. Ober-Blöbaum, K. Padberg-Gehle
(Eds.), Advances in Dynamics, Optimization and Computation, Springer International
Publishing, Cham, 2020, pp. 66–85.'
date_created: 2020-08-14T15:02:22Z
date_updated: 2023-11-17T13:13:25Z
department:
- _id: '101'
doi: 10.1007/978-3-030-51264-4_3
editor:
- first_name: Oliver
full_name: Junge, Oliver
last_name: Junge
- first_name: Oliver
full_name: Schütze, Oliver
last_name: Schütze
- first_name: Sina
full_name: Ober-Blöbaum, Sina
last_name: Ober-Blöbaum
- first_name: Kathrin
full_name: Padberg-Gehle, Kathrin
last_name: Padberg-Gehle
intvolume: ' 304'
language:
- iso: eng
main_file_link:
- url: https://link.springer.com/chapter/10.1007/978-3-030-51264-4_3
page: 66-85
place: Cham
publication: Advances in Dynamics, Optimization and Computation
publication_identifier:
isbn:
- '9783030512637'
- '9783030512644'
issn:
- 2198-4182
- 2198-4190
publication_status: published
publisher: Springer International Publishing
series_title: Studies in Systems, Decision and Control
status: public
title: The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems
type: book_chapter
user_id: '32655'
volume: 304
year: '2020'
...
---
_id: '16712'
abstract:
- lang: eng
text: We investigate self-adjoint matrices A∈Rn,n with respect to their equivariance
properties. We show in particular that a matrix is self-adjoint if and only if
it is equivariant with respect to the action of a group Γ2(A)⊂O(n) which is isomorphic
to ⊗nk=1Z2. If the self-adjoint matrix possesses multiple eigenvalues – this may,
for instance, be induced by symmetry properties of an underlying dynamical system
– then A is even equivariant with respect to the action of a group Γ(A)≃∏ki=1O(mi)
where m1,…,mk are the multiplicities of the eigenvalues λ1,…,λk of A. We discuss
implications of this result for equivariant bifurcation problems, and we briefly
address further applications for the Procrustes problem, graph symmetries and
Taylor expansions.
author:
- first_name: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
- first_name: Bennet
full_name: Gebken, Bennet
id: '32643'
last_name: Gebken
- first_name: Raphael
full_name: Gerlach, Raphael
id: '32655'
last_name: Gerlach
- first_name: Stefan
full_name: Klus, Stefan
last_name: Klus
citation:
ama: Dellnitz M, Gebken B, Gerlach R, Klus S. On the equivariance properties of
self-adjoint matrices. Dynamical Systems. 2020;35(2):197-215. doi:10.1080/14689367.2019.1661355
apa: Dellnitz, M., Gebken, B., Gerlach, R., & Klus, S. (2020). On the equivariance
properties of self-adjoint matrices. Dynamical Systems, 35(2), 197–215.
https://doi.org/10.1080/14689367.2019.1661355
bibtex: '@article{Dellnitz_Gebken_Gerlach_Klus_2020, title={On the equivariance
properties of self-adjoint matrices}, volume={35}, DOI={10.1080/14689367.2019.1661355},
number={2}, journal={Dynamical Systems}, author={Dellnitz, Michael and Gebken,
Bennet and Gerlach, Raphael and Klus, Stefan}, year={2020}, pages={197–215} }'
chicago: 'Dellnitz, Michael, Bennet Gebken, Raphael Gerlach, and Stefan Klus. “On
the Equivariance Properties of Self-Adjoint Matrices.” Dynamical Systems
35, no. 2 (2020): 197–215. https://doi.org/10.1080/14689367.2019.1661355.'
ieee: 'M. Dellnitz, B. Gebken, R. Gerlach, and S. Klus, “On the equivariance properties
of self-adjoint matrices,” Dynamical Systems, vol. 35, no. 2, pp. 197–215,
2020, doi: 10.1080/14689367.2019.1661355.'
mla: Dellnitz, Michael, et al. “On the Equivariance Properties of Self-Adjoint Matrices.”
Dynamical Systems, vol. 35, no. 2, 2020, pp. 197–215, doi:10.1080/14689367.2019.1661355.
short: M. Dellnitz, B. Gebken, R. Gerlach, S. Klus, Dynamical Systems 35 (2020)
197–215.
date_created: 2020-04-16T14:07:25Z
date_updated: 2023-11-17T13:12:59Z
department:
- _id: '101'
doi: 10.1080/14689367.2019.1661355
intvolume: ' 35'
issue: '2'
language:
- iso: eng
main_file_link:
- url: https://doi.org/10.1080/14689367.2019.1661355
page: 197-215
publication: Dynamical Systems
publication_identifier:
issn:
- 1468-9367
- 1468-9375
publication_status: published
status: public
title: On the equivariance properties of self-adjoint matrices
type: journal_article
user_id: '32655'
volume: 35
year: '2020'
...
---
_id: '51386'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: H.
full_name: Barnum, H.
last_name: Barnum
citation:
ama: Hilgert J, Barnum H. Spectral Properties of Convex Bodies. J of Lie Theory.
2020;30:315-344.
apa: Hilgert, J., & Barnum, H. (2020). Spectral Properties of Convex Bodies.
J. of Lie Theory, 30, 315–344.
bibtex: '@article{Hilgert_Barnum_2020, title={Spectral Properties of Convex Bodies},
volume={30}, journal={J. of Lie Theory}, author={Hilgert, Joachim and Barnum,
H.}, year={2020}, pages={315–344} }'
chicago: 'Hilgert, Joachim, and H. Barnum. “Spectral Properties of Convex Bodies.”
J. of Lie Theory 30 (2020): 315–44.'
ieee: J. Hilgert and H. Barnum, “Spectral Properties of Convex Bodies,” J. of
Lie Theory, vol. 30, pp. 315–344, 2020.
mla: Hilgert, Joachim, and H. Barnum. “Spectral Properties of Convex Bodies.” J.
of Lie Theory, vol. 30, 2020, pp. 315–44.
short: J. Hilgert, H. Barnum, J. of Lie Theory 30 (2020) 315–344.
date_created: 2024-02-19T06:37:21Z
date_updated: 2024-02-19T06:39:48Z
department:
- _id: '91'
intvolume: ' 30'
language:
- iso: eng
page: 315-344
publication: J. of Lie Theory
publication_status: published
status: public
title: Spectral Properties of Convex Bodies
type: journal_article
user_id: '49063'
volume: 30
year: '2020'
...
---
_id: '51559'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
citation:
ama: 'Hilgert J. Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful
and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige
Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019. Mathematische
Semesterberichte. 2020;67:301–305. doi:10.1007/s00591-020-00282-4'
apa: 'Hilgert, J. (2020). Titu Andreescu und Vlad Crisan: Mathematical Induction
– A powerful and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk:
Vollständige Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum
2019. In Mathematische Semesterberichte (Vol. 67, pp. 301–305). https://doi.org/10.1007/s00591-020-00282-4'
bibtex: '@article{Hilgert_2020, title={Titu Andreescu und Vlad Crisan: Mathematical
Induction – A powerful and elegant method of proof. XYZ Press 2017 und Florian
André Dalwigk: Vollständige Induktion – Beispiele und Aufgaben bis zum Umfallen.
Springer Spektrum 2019}, volume={67}, DOI={10.1007/s00591-020-00282-4},
journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020},
pages={301–305} }'
chicago: 'Hilgert, Joachim. “Titu Andreescu Und Vlad Crisan: Mathematical Induction
– A Powerful and Elegant Method of Proof. XYZ Press 2017 Und Florian André Dalwigk:
Vollständige Induktion – Beispiele Und Aufgaben Bis Zum Umfallen. Springer Spektrum
2019.” Mathematische Semesterberichte, 2020. https://doi.org/10.1007/s00591-020-00282-4.'
ieee: 'J. Hilgert, “Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful
and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige
Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019,”
Mathematische Semesterberichte, vol. 67. pp. 301–305, 2020, doi: 10.1007/s00591-020-00282-4.'
mla: 'Hilgert, Joachim. “Titu Andreescu Und Vlad Crisan: Mathematical Induction
– A Powerful and Elegant Method of Proof. XYZ Press 2017 Und Florian André Dalwigk:
Vollständige Induktion – Beispiele Und Aufgaben Bis Zum Umfallen. Springer Spektrum
2019.” Mathematische Semesterberichte, vol. 67, 2020, pp. 301–305, doi:10.1007/s00591-020-00282-4.'
short: J. Hilgert, Mathematische Semesterberichte 67 (2020) 301–305.
date_created: 2024-02-20T10:01:02Z
date_updated: 2024-02-20T10:03:50Z
department:
- _id: '91'
doi: 10.1007/s00591-020-00282-4
intvolume: ' 67'
language:
- iso: eng
page: 301–305
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful and elegant
method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige Induktion
– Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019'
type: review
user_id: '49063'
volume: 67
year: '2020'
...
---
_id: '51557'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
citation:
ama: 'Hilgert J. Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed
Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press
2020. Mathematische Semesterberichte. 2020;67:307–309. doi:10.1007/s00591-020-00283-3'
apa: 'Hilgert, J. (2020). Fabio Toscano: The Secret Formula – How a Mathematical
Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University
Press 2020. In Mathematische Semesterberichte (Vol. 67, pp. 307–309). https://doi.org/10.1007/s00591-020-00283-3'
bibtex: '@article{Hilgert_2020, title={Fabio Toscano: The Secret Formula – How a
Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation.
Princeton University Press 2020}, volume={67}, DOI={10.1007/s00591-020-00283-3},
journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020},
pages={307–309} }'
chicago: 'Hilgert, Joachim. “Fabio Toscano: The Secret Formula – How a Mathematical
Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University
Press 2020.” Mathematische Semesterberichte, 2020. https://doi.org/10.1007/s00591-020-00283-3.'
ieee: 'J. Hilgert, “Fabio Toscano: The Secret Formula – How a Mathematical Duel
Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University
Press 2020,” Mathematische Semesterberichte, vol. 67. pp. 307–309, 2020,
doi: 10.1007/s00591-020-00283-3.'
mla: 'Hilgert, Joachim. “Fabio Toscano: The Secret Formula – How a Mathematical
Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University
Press 2020.” Mathematische Semesterberichte, vol. 67, 2020, pp. 307–309,
doi:10.1007/s00591-020-00283-3.'
short: J. Hilgert, Mathematische Semesterberichte 67 (2020) 307–309.
date_created: 2024-02-20T09:53:55Z
date_updated: 2024-02-20T10:03:46Z
department:
- _id: '91'
doi: 10.1007/s00591-020-00283-3
intvolume: ' 67'
language:
- iso: eng
page: 307–309
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance
Italy and Uncovered the Cubic Equation. Princeton University Press 2020'
type: review
user_id: '49063'
volume: 67
year: '2020'
...
---
_id: '51561'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
citation:
ama: 'Hilgert J. Robert Bosch: OPT ART – From Mathematical Optimization to Visual
Design. Princeton University Press 2019. Mathematische Semesterberichte.
2020;67:123–124. doi:10.1007/s00591-020-00272-6'
apa: 'Hilgert, J. (2020). Robert Bosch: OPT ART – From Mathematical Optimization
to Visual Design. Princeton University Press 2019. In Mathematische Semesterberichte
(Vol. 67, pp. 123–124). https://doi.org/10.1007/s00591-020-00272-6'
bibtex: '@article{Hilgert_2020, title={Robert Bosch: OPT ART – From Mathematical
Optimization to Visual Design. Princeton University Press 2019}, volume={67},
DOI={10.1007/s00591-020-00272-6},
journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020},
pages={123–124} }'
chicago: 'Hilgert, Joachim. “Robert Bosch: OPT ART – From Mathematical Optimization
to Visual Design. Princeton University Press 2019.” Mathematische Semesterberichte,
2020. https://doi.org/10.1007/s00591-020-00272-6.'
ieee: 'J. Hilgert, “Robert Bosch: OPT ART – From Mathematical Optimization to Visual
Design. Princeton University Press 2019,” Mathematische Semesterberichte,
vol. 67. pp. 123–124, 2020, doi: 10.1007/s00591-020-00272-6.'
mla: 'Hilgert, Joachim. “Robert Bosch: OPT ART – From Mathematical Optimization
to Visual Design. Princeton University Press 2019.” Mathematische Semesterberichte,
vol. 67, 2020, pp. 123–124, doi:10.1007/s00591-020-00272-6.'
short: J. Hilgert, Mathematische Semesterberichte 67 (2020) 123–124.
date_created: 2024-02-20T10:03:14Z
date_updated: 2024-02-20T10:04:02Z
department:
- _id: '91'
doi: 10.1007/s00591-020-00272-6
intvolume: ' 67'
language:
- iso: eng
page: 123–124
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton
University Press 2019'
type: review
user_id: '49063'
volume: 67
year: '2020'
...